%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP185^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:18 AM UTC 2026 % Result : Theorem 0.97s 1.17s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP185^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:18:39 EDT 2026 % 0.18/0.35 % CPUTime : % 0.41/0.64 %----Proving TH0 % 0.97/1.17 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.97/1.17 % SZS status Theorem % 0.97/1.17 % SZS output start Proof % 0.97/1.17 ( % 0.97/1.17 (declare-sort tptp.late_residual 0) % 0.97/1.17 (declare-sort tptp.set_name 0) % 0.97/1.17 (declare-sort tptp.late_subject 0) % 0.97/1.17 (declare-sort tptp.name 0) % 0.97/1.17 (declare-sort tptp.pi 0) % 0.97/1.17 (declare-sort tptp.noption_pi 0) % 0.97/1.17 (declare-sort tptp.late_freeRes 0) % 0.97/1.17 (declare-sort tptp.noptio354675977ion_pi 0) % 0.97/1.17 (declare-sort tptp.noption_name 0) % 0.97/1.17 (declare-sort tptp.noption_Late_subject 0) % 0.97/1.17 (declare-sort tptp.noptio570777408ubject 0) % 0.97/1.17 (declare-sort tptp.noptio1926134715n_name 0) % 0.97/1.17 (declare-sort tptp.noption_Late_freeRes 0) % 0.97/1.17 (declare-sort tptp.noptio435234344reeRes 0) % 0.97/1.17 (declare-sort tptp.noptio930204083reeRes 0) % 0.97/1.17 (declare-sort tptp.noptio1065747147ubject 0) % 0.97/1.17 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.97/1.17 (declare-const tptp.bang (-> tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.piNil tptp.pi) % 0.97/1.17 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.pi_rec_pi (-> tptp.pi (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.match (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.tau (-> tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.97/1.17 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.97/1.17 (declare-const tptp.collect_name (-> (-> tptp.name Bool) tptp.set_name)) % 0.97/1.17 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.97/1.17 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.97/1.17 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_728038529ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) Bool)) % 0.97/1.17 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) % 0.97/1.17 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) % 0.97/1.17 (declare-const tptp.fresh_198785932ubject (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_subject) Bool)) % 0.97/1.17 (declare-const tptp.fresh_256112244reeRes (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) Bool)) % 0.97/1.17 (declare-const tptp.supp_L3230824i_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.supp_L635439693i_name (-> (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.late_r750878080ion_pi (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi) (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi) tptp.late_residual (-> tptp.name tptp.noption_pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_747777846ion_pi (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_7927363ion_pi (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi) Bool)) % 0.97/1.17 (declare-const tptp.late_r1261898622set_pi (-> (-> tptp.late_subject tptp.name tptp.pi tptp.pi) (-> tptp.late_freeRes tptp.pi tptp.pi) tptp.late_residual tptp.pi Bool)) % 0.97/1.17 (declare-const tptp.late_r1742481968t_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name) (-> tptp.late_freeRes tptp.pi tptp.name) tptp.late_residual tptp.name Bool)) % 0.97/1.17 (declare-const tptp.late_r1613948593reeRes (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) tptp.late_residual tptp.late_freeRes Bool)) % 0.97/1.17 (declare-const tptp.late_r689718217ubject (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) (-> tptp.late_freeRes tptp.pi tptp.late_subject) tptp.late_residual tptp.late_subject Bool)) % 0.97/1.17 (declare-const tptp.supp_L1512088218i_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noptio354675977ion_pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.supp_L979396363i_name (-> (-> tptp.late_freeRes tptp.pi tptp.name tptp.noptio354675977ion_pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.late_r1558248490ion_pi (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noptio354675977ion_pi) (-> tptp.late_freeRes tptp.pi tptp.name tptp.noptio354675977ion_pi) tptp.late_residual (-> tptp.name tptp.noptio354675977ion_pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_876421558ion_pi (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noptio354675977ion_pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_2081817683ion_pi (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.name tptp.noptio354675977ion_pi) Bool)) % 0.97/1.17 (declare-const tptp.supp_L14705974e_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_name) tptp.set_name)) % 0.97/1.17 (declare-const tptp.fresh_62885992n_name (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_name) Bool)) % 0.97/1.17 (declare-const tptp.fresh_808662133n_name (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_name) Bool)) % 0.97/1.17 (declare-const tptp.fresh_1011532071_pi_pi (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.pi) Bool)) % 0.97/1.17 (declare-const tptp.fresh_1030632537i_name (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.name) Bool)) % 0.97/1.17 (declare-const tptp.supp_L729745222i_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.supp_L2052723895i_name (-> (-> tptp.late_freeRes tptp.pi tptp.pi) tptp.set_name)) % 0.97/1.17 (declare-const tptp.fresh_1438126218_pi_pi (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.pi) Bool)) % 0.97/1.17 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.97/1.17 (declare-const tptp.abs_fu1614711987ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) tptp.name tptp.noptio354675977ion_pi)) % 0.97/1.17 (declare-const tptp.fresh_795910143ubject (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) Bool)) % 0.97/1.17 (declare-const tptp.member_name (-> tptp.name tptp.set_name Bool)) % 0.97/1.17 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.97/1.17 (declare-const tptp.pqr tptp.pi) % 0.97/1.17 (declare-const tptp.abs_fu1904601852ubject (-> tptp.name tptp.late_subject tptp.name tptp.noption_Late_subject)) % 0.97/1.17 (declare-const tptp.qr tptp.pi) % 0.97/1.17 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.97/1.17 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.97/1.17 (declare-const tptp.sup_sup_set_name (-> tptp.set_name tptp.set_name tptp.set_name)) % 0.97/1.17 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.97/1.17 (declare-const tptp.a tptp.name) % 0.97/1.17 (declare-const tptp.fresh_92802872ion_pi (-> tptp.name (-> tptp.name tptp.noptio354675977ion_pi) Bool)) % 0.97/1.17 (declare-const tptp.alpha tptp.late_freeRes) % 0.97/1.17 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) % 0.97/1.17 (declare-const tptp.y tptp.name) % 0.97/1.17 (declare-const tptp.supp_L473926939e_name (-> (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_name) tptp.set_name)) % 0.97/1.17 (declare-const tptp.late_r1347955901ubject (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) (-> tptp.late_freeRes tptp.pi tptp.late_subject) tptp.late_residual tptp.late_subject)) % 0.97/1.17 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.97/1.17 (declare-const tptp.finite_finite_name (-> tptp.set_name Bool)) % 0.97/1.17 (declare-const tptp.supp_L1174042202l_name (-> tptp.late_residual tptp.set_name)) % 0.97/1.17 (declare-const tptp.abs_fu1394407909n_name (-> tptp.name (-> tptp.name tptp.noption_name) tptp.name tptp.noptio1926134715n_name)) % 0.97/1.17 (declare-const tptp.x tptp.name) % 0.97/1.17 (declare-const tptp.r tptp.pi) % 0.97/1.17 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.97/1.17 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) % 0.97/1.17 (declare-const tptp.r2 tptp.pi) % 0.97/1.17 (declare-const tptp.fresh_1742414570n_name (-> tptp.name (-> tptp.name tptp.noptio1926134715n_name) Bool)) % 0.97/1.17 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.97/1.17 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.97/1.17 (declare-const tptp.abs_fu1763130856reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) tptp.name tptp.noptio435234344reeRes)) % 0.97/1.17 (declare-const tptp.late_residual_rec_pi (-> (-> tptp.late_subject tptp.name tptp.pi tptp.pi) (-> tptp.late_freeRes tptp.pi tptp.pi) tptp.late_residual tptp.pi)) % 0.97/1.17 (declare-const tptp.fresh_1215331279reeRes (-> tptp.name (-> tptp.name tptp.noptio435234344reeRes) Bool)) % 0.97/1.17 (declare-const tptp.p tptp.pi) % 0.97/1.17 (declare-const tptp.abs_fu1705804544ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) tptp.name tptp.noptio570777408ubject)) % 0.97/1.17 (declare-const tptp.fresh_621211324i_name (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name) Bool)) % 0.97/1.17 (declare-const tptp.fresh_600418535ubject (-> tptp.name (-> tptp.name tptp.noptio570777408ubject) Bool)) % 0.97/1.17 (declare-const tptp.late_r124702629reeRes (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) tptp.late_residual tptp.late_freeRes)) % 0.97/1.17 (declare-const tptp.q2 tptp.pi) % 0.97/1.17 (declare-const tptp.abs_fu888821131ubject (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_subject) tptp.name tptp.noptio1065747147ubject)) % 0.97/1.17 (declare-const tptp.fresh_660367079reeRes (-> tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) Bool)) % 0.97/1.17 (declare-const tptp.fresh_1644004594ubject (-> tptp.name (-> tptp.name tptp.noptio1065747147ubject) Bool)) % 0.97/1.17 (declare-const tptp.late_r303715378n_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_name) (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_name) tptp.late_residual (-> tptp.name tptp.noption_name) Bool)) % 0.97/1.17 (declare-const tptp.q tptp.pi) % 0.97/1.17 (declare-const tptp.abs_fu946147443reeRes (-> tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) tptp.name tptp.noptio930204083reeRes)) % 0.97/1.17 (declare-const tptp.fresh_111433690reeRes (-> tptp.name (-> tptp.name tptp.noptio930204083reeRes) Bool)) % 0.97/1.17 (declare-const tptp.supp_L1144036959t_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) tptp.set_name)) % 0.97/1.17 (declare-const tptp.supp_L1178477943s_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) tptp.set_name)) % 0.97/1.17 (declare-const tptp.late_r1174711868c_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name) (-> tptp.late_freeRes tptp.pi tptp.name) tptp.late_residual tptp.name)) % 0.97/1.17 (declare-const tptp.supp_L926407557e_name (-> (-> tptp.late_freeRes tptp.pi tptp.name) tptp.set_name)) % 0.97/1.17 (declare-const tptp.supp_L538372628e_name (-> (-> tptp.late_subject tptp.name tptp.pi tptp.name) tptp.set_name)) % 0.97/1.17 (define tptp.fresh_name_name () (let ((_let_1 (@var "B3" tptp.name))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.97/1.17 (define tptp.subst_name () (let ((_let_1 (@var "A4" tptp.name))) (let ((_let_2 (@var "C3" tptp.name))) (let ((_let_3 (@var "B3" tptp.name))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ (_ tptp.if_name (= _let_1 _let_3)) _let_2) _let_1)))))) % 0.97/1.17 (define tptp.late_bangPred () (let ((_let_1 (@var "P5" tptp.pi))) (let ((_let_2 (_ tptp.bang _let_1))) (let ((_let_3 (@var "A23" tptp.pi))) (let ((_let_4 (@var "A12" tptp.pi))) (let ((_let_5 (= _let_4 _let_1))) (let ((_let_6 (@list _let_1))) (lambda (@list _let_4 _let_3) (or (exists _let_6 (and _let_5 (= _let_3 _let_2))) (exists _let_6 (and _let_5 (= _let_3 (_ (_ tptp.par _let_1) _let_2))))))))))))) % 0.97/1.17 (define tptp.subs () (let ((_let_1 (@var "X3" tptp.pi))) (let ((_let_2 (@var "__flatten_var_0" tptp.pi))) (let ((_let_3 (@var "P5" tptp.pi))) (let ((_let_4 (@list _let_3 _let_2))) (let ((_let_5 (@var "Y5" tptp.name))) (let ((_let_6 (@var "__flatten_var_1" tptp.pi))) (let ((_let_7 (@list _let_3 (@var "Q5" tptp.pi) _let_2 _let_6))) (let ((_let_8 (@var "D2" tptp.name))) (let ((_let_9 (@var "C3" tptp.name))) (let ((_let_10 (@var "B3" tptp.name))) (let ((_let_11 (_ (_ (_ tptp.subst_name _let_10) _let_9) _let_8))) (let ((_let_12 (@var "A4" tptp.name))) (let ((_let_13 (_ (_ (_ tptp.subst_name _let_12) _let_9) _let_8))) (let ((_let_14 (@list _let_12 _let_10 _let_3 _let_2))) (lambda (@list _let_1 _let_9 _let_8) (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.pi_rec_pi tptp.piNil) (lambda _let_14 (_ (_ (_ tptp.output _let_13) _let_11) _let_2))) (lambda _let_4 (_ tptp.tau _let_2))) (lambda (@list _let_12 _let_5 _let_3 _let_2) (_ (_ (_ tptp.input _let_13) _let_5) _let_2))) (lambda _let_14 (_ (_ (_ tptp.match _let_13) _let_11) _let_2))) (lambda _let_14 (_ (_ (_ tptp.mismatch _let_13) _let_11) _let_2))) (lambda _let_7 (_ (_ tptp.sum _let_2) _let_6))) (lambda _let_7 (_ (_ tptp.par _let_2) _let_6))) (lambda (@list _let_5 _let_3 _let_2) (_ (_ tptp.res _let_5) _let_2))) (lambda _let_4 (_ tptp.bang _let_2))) _let_1))))))))))))))))) % 0.97/1.17 (define tptp.supp_L1174290467t_name () (let ((_let_1 (@var "X3" tptp.late_subject))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_717452603ubject _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_L1228270395s_name () (let ((_let_1 (@var "X3" tptp.late_freeRes))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_1641682979reeRes _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_name_name () (let ((_let_1 (@var "X3" tptp.name))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_name_name _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_pi_name () (let ((_let_1 (@var "X3" tptp.pi))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_name_pi _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_n468628396i_name () (let ((_let_1 (@var "X3" (-> tptp.name tptp.noption_pi)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_543891186ion_pi _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_n1630792207t_name () (let ((_let_1 (@var "X3" (-> tptp.name tptp.noption_Late_subject)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_728038529ubject _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_n252280103s_name () (let ((_let_1 (@var "X3" (-> tptp.name tptp.noption_Late_freeRes)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_785364841reeRes _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_n352473082e_name () (let ((_let_1 (@var "X3" (-> tptp.name tptp.noption_name)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_1093033124n_name _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_L1759672260t_name () (let ((_let_1 (@var "X3" (-> tptp.late_freeRes tptp.pi tptp.late_subject)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_198785932ubject _let_2) _let_1)))))))) % 0.97/1.17 (define tptp.supp_L381160156s_name () (let ((_let_1 (@var "X3" (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_1) (_ tptp.collect_name (lambda (@list _let_2) (not (_ (_ tptp.fresh_256112244reeRes _let_2) _let_1)))))))) % 0.97/1.17 (define @t1 () (_ tptp.fresh_name_pi tptp.y)) % 0.97/1.17 (define @t2 () (_ @t1 tptp.r)) % 0.97/1.17 (define @t3 () (_ tptp.fresh_name_pi tptp.x)) % 0.97/1.17 (define @t4 () (_ tptp.late_InputS tptp.a)) % 0.97/1.17 (define @t5 () (_ (_ (_ tptp.late_BoundR @t4) tptp.x) tptp.r2)) % 0.97/1.17 (define @t6 () (_ tptp.late_transitions tptp.r)) % 0.97/1.17 (define @t7 () (_ @t6 @t5)) % 0.97/1.17 (define @t8 () (_ tptp.par tptp.p)) % 0.97/1.17 (define @t9 () (_ @t8 tptp.q2)) % 0.97/1.17 (define @t10 () (_ tptp.late_BoundOutputS tptp.a)) % 0.97/1.17 (define @t11 () (_ (_ tptp.late_BoundR @t10) tptp.y)) % 0.97/1.17 (define @t12 () (_ @t11 @t9)) % 0.97/1.17 (define @t13 () (_ @t8 tptp.q)) % 0.97/1.17 (define @t14 () (_ (_ tptp.late_transitions @t13) @t12)) % 0.97/1.17 (define @t15 () (_ tptp.late_FreeR tptp.alpha)) % 0.97/1.17 (define @t16 () (_ (_ tptp.par tptp.q) tptp.r)) % 0.97/1.17 (define @t17 () (@var "D" tptp.name)) % 0.97/1.17 (define @t18 () (@var "C" tptp.name)) % 0.97/1.17 (define @t19 () (@var "P" tptp.pi)) % 0.97/1.17 (define @t20 () (_ tptp.subs @t19)) % 0.97/1.17 (define @t21 () (_ (_ @t20 @t18) @t17)) % 0.97/1.17 (define @t22 () (@var "X" tptp.name)) % 0.97/1.17 (define @t23 () (_ tptp.res @t22)) % 0.97/1.17 (define @t24 () (_ @t23 @t19)) % 0.97/1.17 (define @t25 () (not (= @t22 @t17))) % 0.97/1.17 (define @t26 () (not (= @t22 @t18))) % 0.97/1.17 (define @t27 () (@var "Q" tptp.pi)) % 0.97/1.17 (define @t28 () (_ (_ (_ tptp.subs @t27) @t18) @t17)) % 0.97/1.17 (define @t29 () (_ tptp.par @t19)) % 0.97/1.17 (define @t30 () (_ @t29 @t27)) % 0.97/1.17 (define @t31 () (@list @t19 @t27 @t18 @t17)) % 0.97/1.17 (define @t32 () (@var "P2" tptp.pi)) % 0.97/1.17 (define @t33 () (_ tptp.par @t32)) % 0.97/1.17 (define @t34 () (_ @t33 @t27)) % 0.97/1.17 (define @t35 () (@var "Alpha" tptp.late_freeRes)) % 0.97/1.17 (define @t36 () (_ tptp.late_FreeR @t35)) % 0.97/1.17 (define @t37 () (_ tptp.late_transitions @t30)) % 0.97/1.17 (define @t38 () (_ @t36 @t32)) % 0.97/1.17 (define @t39 () (_ tptp.late_transitions @t19)) % 0.97/1.17 (define @t40 () (_ @t39 @t38)) % 0.97/1.17 (define @t41 () (@var "Q2" tptp.pi)) % 0.97/1.17 (define @t42 () (_ @t29 @t41)) % 0.97/1.17 (define @t43 () (_ tptp.late_transitions @t27)) % 0.97/1.17 (define @t44 () (@var "A" tptp.name)) % 0.97/1.17 (define @t45 () (_ @t20 @t44)) % 0.97/1.17 (define @t46 () (@var "Pi" tptp.pi)) % 0.97/1.17 (define @t47 () (@var "Name" tptp.name)) % 0.97/1.17 (define @t48 () (_ (_ tptp.res @t47) @t46)) % 0.97/1.17 (define @t49 () (@var "Pi2" tptp.pi)) % 0.97/1.17 (define @t50 () (@var "Pi1" tptp.pi)) % 0.97/1.17 (define @t51 () (_ (_ tptp.par @t50) @t49)) % 0.97/1.17 (define @t52 () (@list @t50 @t49 @t47 @t46)) % 0.97/1.17 (define @t53 () (@var "Y" tptp.name)) % 0.97/1.17 (define @t54 () (_ (_ tptp.subs @t32) @t22)) % 0.97/1.17 (define @t55 () (_ tptp.res @t53)) % 0.97/1.17 (define @t56 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.97/1.17 (define @t57 () (_ @t37 (_ @t56 (_ @t55 (_ (_ tptp.par (_ @t54 @t53)) @t41))))) % 0.97/1.17 (define @t58 () (_ tptp.fresh_name_pi @t53)) % 0.97/1.17 (define @t59 () (_ @t58 @t19)) % 0.97/1.17 (define @t60 () (_ tptp.late_BoundOutputS @t44)) % 0.97/1.17 (define @t61 () (_ tptp.late_BoundR @t60)) % 0.97/1.17 (define @t62 () (_ @t61 @t53)) % 0.97/1.17 (define @t63 () (_ @t43 (_ @t62 @t41))) % 0.97/1.17 (define @t64 () (_ tptp.late_InputS @t44)) % 0.97/1.17 (define @t65 () (_ (_ tptp.late_BoundR @t64) @t22)) % 0.97/1.17 (define @t66 () (_ @t39 (_ @t65 @t32))) % 0.97/1.17 (define @t67 () (@list @t19 @t44 @t22 @t32 @t27 @t53 @t41)) % 0.97/1.17 (define @t68 () (_ (_ tptp.subs @t41) @t22)) % 0.97/1.17 (define @t69 () (_ @t37 (_ @t56 (_ @t55 (_ @t33 (_ @t68 @t53)))))) % 0.97/1.17 (define @t70 () (_ @t58 @t27)) % 0.97/1.17 (define @t71 () (=> @t70 @t69)) % 0.97/1.17 (define @t72 () (_ @t65 @t41)) % 0.97/1.17 (define @t73 () (_ @t43 @t72)) % 0.97/1.17 (define @t74 () (=> @t73 @t71)) % 0.97/1.17 (define @t75 () (_ @t62 @t32)) % 0.97/1.17 (define @t76 () (_ @t39 @t75)) % 0.97/1.17 (define @t77 () (=> @t76 @t74)) % 0.97/1.17 (define @t78 () (@list @t19 @t44 @t53 @t32 @t27 @t22 @t41)) % 0.97/1.17 (define @t79 () (forall @t78 @t77)) % 0.97/1.17 (define @t80 () (= @t22 @t53)) % 0.97/1.17 (define @t81 () (not @t80)) % 0.97/1.17 (define @t82 () (_ @t58 @t32)) % 0.97/1.17 (define @t83 () (not (= @t53 @t44))) % 0.97/1.17 (define @t84 () (_ tptp.fresh_name_pi @t22)) % 0.97/1.17 (define @t85 () (_ @t84 @t41)) % 0.97/1.17 (define @t86 () (not (= @t22 @t44))) % 0.97/1.17 (define @t87 () (_ @t84 @t27)) % 0.97/1.17 (define @t88 () (_ @t84 @t19)) % 0.97/1.17 (define @t89 () (_ @t84 @t32)) % 0.97/1.17 (define @t90 () (@var "B" tptp.name)) % 0.97/1.17 (define @t91 () (_ @t45 @t90)) % 0.97/1.17 (define @t92 () (_ tptp.res @t90)) % 0.97/1.17 (define @t93 () (_ @t92 @t91)) % 0.97/1.17 (define @t94 () (_ (_ tptp.res @t44) @t19)) % 0.97/1.17 (define @t95 () (_ tptp.fresh_name_pi @t90)) % 0.97/1.17 (define @t96 () (_ @t95 @t19)) % 0.97/1.17 (define @t97 () (@list @t90 @t19 @t44)) % 0.97/1.17 (define @t98 () (@var "Y1" tptp.name)) % 0.97/1.17 (define @t99 () (@var "X1" tptp.name)) % 0.97/1.17 (define @t100 () (= @t99 @t98)) % 0.97/1.17 (define @t101 () (_ tptp.late_BoundOutputS @t99)) % 0.97/1.17 (define @t102 () (@list @t99 @t98)) % 0.97/1.17 (define @t103 () (@var "X1" tptp.pi)) % 0.97/1.17 (define @t104 () (_ tptp.fresh_name_pi @t44)) % 0.97/1.17 (define @t105 () (_ @t104 @t103)) % 0.97/1.17 (define @t106 () (@var "X2" tptp.pi)) % 0.97/1.17 (define @t107 () (and (_ @t104 @t106) @t105)) % 0.97/1.17 (define @t108 () (_ (_ tptp.par @t106) @t103)) % 0.97/1.17 (define @t109 () (@list @t44 @t106 @t103)) % 0.97/1.17 (define @t110 () (@var "Name2" tptp.name)) % 0.97/1.17 (define @t111 () (@var "X" tptp.late_subject)) % 0.97/1.17 (define @t112 () (@var "C2" tptp.name)) % 0.97/1.17 (define @t113 () (_ (_ tptp.fresh_717452603ubject @t112) @t111)) % 0.97/1.17 (define @t114 () (@list @t112)) % 0.97/1.17 (define @t115 () (not (forall @t114 (not @t113)))) % 0.97/1.17 (define @t116 () (@list @t111)) % 0.97/1.17 (define @t117 () (@var "X" tptp.late_freeRes)) % 0.97/1.17 (define @t118 () (_ (_ tptp.fresh_1641682979reeRes @t112) @t117)) % 0.97/1.17 (define @t119 () (not (forall @t114 (not @t118)))) % 0.97/1.17 (define @t120 () (@list @t117)) % 0.97/1.17 (define @t121 () (_ (_ tptp.fresh_name_name @t112) @t22)) % 0.97/1.17 (define @t122 () (not (forall @t114 (not @t121)))) % 0.97/1.17 (define @t123 () (@list @t22)) % 0.97/1.17 (define @t124 () (@var "X" tptp.pi)) % 0.97/1.17 (define @t125 () (_ (_ tptp.fresh_name_pi @t112) @t124)) % 0.97/1.17 (define @t126 () (not (forall @t114 (not @t125)))) % 0.97/1.17 (define @t127 () (@list @t124)) % 0.97/1.17 (define @t128 () (@var "Subject" tptp.late_subject)) % 0.97/1.17 (define @t129 () (@var "P" (-> tptp.late_subject Bool))) % 0.97/1.17 (define @t130 () (@var "Name3" tptp.name)) % 0.97/1.17 (define @t131 () (@list @t130)) % 0.97/1.17 (define @t132 () (@var "Residual" tptp.late_residual)) % 0.97/1.17 (define @t133 () (@var "Z" tptp.late_subject)) % 0.97/1.17 (define @t134 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) % 0.97/1.17 (define @t135 () (@var "Pi3" tptp.pi)) % 0.97/1.17 (define @t136 () (@var "FreeRes" tptp.late_freeRes)) % 0.97/1.17 (define @t137 () (_ (_ tptp.late_FreeR @t136) @t135)) % 0.97/1.17 (define @t138 () (@var "Z2" tptp.late_subject)) % 0.97/1.17 (define @t139 () (_ @t134 @t138)) % 0.97/1.17 (define @t140 () (@var "Subject2" tptp.late_subject)) % 0.97/1.17 (define @t141 () (_ (_ (_ tptp.late_BoundR @t140) @t130) @t135)) % 0.97/1.17 (define @t142 () (_ tptp.fresh_717452603ubject @t130)) % 0.97/1.17 (define @t143 () (_ @t142 @t140)) % 0.97/1.17 (define @t144 () (_ @t142 @t138)) % 0.97/1.17 (define @t145 () (@var "Z" tptp.late_freeRes)) % 0.97/1.17 (define @t146 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.97/1.17 (define @t147 () (@var "Z2" tptp.late_freeRes)) % 0.97/1.17 (define @t148 () (_ @t146 @t147)) % 0.97/1.17 (define @t149 () (_ (_ tptp.fresh_1641682979reeRes @t130) @t147)) % 0.97/1.17 (define @t150 () (@var "Z" tptp.name)) % 0.97/1.17 (define @t151 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.97/1.17 (define @t152 () (@var "Z2" tptp.name)) % 0.97/1.17 (define @t153 () (_ @t151 @t152)) % 0.97/1.17 (define @t154 () (_ (_ tptp.fresh_name_name @t130) @t152)) % 0.97/1.17 (define @t155 () (@var "Z" tptp.pi)) % 0.97/1.17 (define @t156 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.97/1.17 (define @t157 () (@var "Z2" tptp.pi)) % 0.97/1.17 (define @t158 () (_ @t156 @t157)) % 0.97/1.17 (define @t159 () (_ (_ tptp.fresh_name_pi @t130) @t157)) % 0.97/1.17 (define @t160 () (not (= @t53 @t22))) % 0.97/1.17 (define @t161 () (@var "A" tptp.late_subject)) % 0.97/1.17 (define @t162 () (_ tptp.late_BoundR @t161)) % 0.97/1.17 (define @t163 () (_ @t162 @t22)) % 0.97/1.17 (define @t164 () (_ @t163 @t32)) % 0.97/1.17 (define @t165 () (_ @t39 @t164)) % 0.97/1.17 (define @t166 () (@list @t19 @t161 @t22 @t32 @t53)) % 0.97/1.17 (define @t167 () (@var "P" (-> tptp.late_residual Bool))) % 0.97/1.17 (define @t168 () (@var "FreeRes2" tptp.late_freeRes)) % 0.97/1.17 (define @t169 () (@var "Pi4" tptp.pi)) % 0.97/1.17 (define @t170 () (_ (_ (_ tptp.late_BoundR @t128) @t110) @t169)) % 0.97/1.17 (define @t171 () (= @t44 @t90)) % 0.97/1.17 (define @t172 () (not @t171)) % 0.97/1.17 (define @t173 () (@list @t44 @t90 @t19)) % 0.97/1.17 (define @t174 () (_ (_ @t20 @t90) @t18)) % 0.97/1.17 (define @t175 () (not (= @t44 @t18))) % 0.97/1.17 (define @t176 () (_ @t104 @t19)) % 0.97/1.17 (define @t177 () (@var "P" (-> tptp.name Bool))) % 0.97/1.17 (define @t178 () (_ tptp.collect_name @t177)) % 0.97/1.17 (define @t179 () (@var "A2" tptp.set_name)) % 0.97/1.17 (define @t180 () (@var "X3" tptp.name)) % 0.97/1.17 (define @t181 () (@list @t180)) % 0.97/1.17 (define @t182 () (@var "Q" (-> tptp.name Bool))) % 0.97/1.17 (define @t183 () (@var "X4" tptp.name)) % 0.97/1.17 (define @t184 () (@list @t183)) % 0.97/1.17 (define @t185 () (@var "PQ" tptp.pi)) % 0.97/1.17 (define @t186 () (@var "Prop" (-> tptp.pi Bool))) % 0.97/1.17 (define @t187 () (@var "Q3" tptp.pi)) % 0.97/1.17 (define @t188 () (@var "P3" tptp.pi)) % 0.97/1.17 (define @t189 () (_ tptp.par @t188)) % 0.97/1.17 (define @t190 () (@list @t188)) % 0.97/1.17 (define @t191 () (_ @t37 (_ @t163 @t42))) % 0.97/1.17 (define @t192 () (_ @t43 (_ @t163 @t41))) % 0.97/1.17 (define @t193 () (@list @t27 @t161 @t22 @t41 @t19)) % 0.97/1.17 (define @t194 () (_ @t37 (_ @t163 @t34))) % 0.97/1.17 (define @t195 () (@list @t19 @t161 @t22 @t32 @t27)) % 0.97/1.17 (define @t196 () (@var "Y1" tptp.pi)) % 0.97/1.17 (define @t197 () (= @t103 @t196)) % 0.97/1.17 (define @t198 () (@var "Y2" tptp.pi)) % 0.97/1.17 (define @t199 () (and (= @t106 @t198) @t197)) % 0.97/1.17 (define @t200 () (@list @t106 @t103 @t198 @t196)) % 0.97/1.17 (define @t201 () (@list @t19 @t35 @t32 @t53)) % 0.97/1.17 (define @t202 () (@var "Y2" tptp.late_freeRes)) % 0.97/1.17 (define @t203 () (@var "X2" tptp.late_freeRes)) % 0.97/1.17 (define @t204 () (_ (_ tptp.late_FreeR @t203) @t103)) % 0.97/1.17 (define @t205 () (_ @t37 (_ @t56 (_ @t33 (_ @t68 @t90))))) % 0.97/1.17 (define @t206 () (not (= @t22 @t90))) % 0.97/1.17 (define @t207 () (_ (_ tptp.late_OutputR @t44) @t90)) % 0.97/1.17 (define @t208 () (_ tptp.late_FreeR @t207)) % 0.97/1.17 (define @t209 () (_ @t208 @t32)) % 0.97/1.17 (define @t210 () (_ @t39 @t209)) % 0.97/1.17 (define @t211 () (@list @t19 @t44 @t90 @t32 @t27 @t22 @t41)) % 0.97/1.17 (define @t212 () (_ @t37 (_ @t56 (_ (_ tptp.par (_ @t54 @t90)) @t41)))) % 0.97/1.17 (define @t213 () (_ @t43 (_ @t208 @t41))) % 0.97/1.17 (define @t214 () (@list @t19 @t44 @t22 @t32 @t27 @t90 @t41)) % 0.97/1.17 (define @t215 () (_ tptp.late_InputS @t99)) % 0.97/1.17 (define @t216 () (@var "Y2" tptp.name)) % 0.97/1.17 (define @t217 () (@var "X2" tptp.name)) % 0.97/1.17 (define @t218 () (= @t217 @t216)) % 0.97/1.17 (define @t219 () (_ tptp.late_BoundOutputS @t217)) % 0.97/1.17 (define @t220 () (@var "X22" tptp.name)) % 0.97/1.17 (define @t221 () (@var "Y" tptp.late_subject)) % 0.97/1.17 (define @t222 () (@var "X12" tptp.name)) % 0.97/1.17 (define @t223 () (@list @t19 @t44 @t90 @t32)) % 0.97/1.17 (define @t224 () (_ tptp.fresh_name_name @t44)) % 0.97/1.17 (define @t225 () (_ @t224 @t99)) % 0.97/1.17 (define @t226 () (_ @t224 @t217)) % 0.97/1.17 (define @t227 () (_ (_ tptp.late_OutputR @t217) @t99)) % 0.97/1.17 (define @t228 () (_ tptp.fresh_1641682979reeRes @t44)) % 0.97/1.17 (define @t229 () (@var "Y12" tptp.name)) % 0.97/1.17 (define @t230 () (@var "X122" tptp.name)) % 0.97/1.17 (define @t231 () (@var "Y11" tptp.name)) % 0.97/1.17 (define @t232 () (@var "X11" tptp.name)) % 0.97/1.17 (define @t233 () (_ (_ tptp.late_OutputR @t232) @t230)) % 0.97/1.17 (define @t234 () (@list @t44)) % 0.97/1.17 (define @t235 () (_ tptp.fresh_81631222sidual @t44)) % 0.97/1.17 (define @t236 () (_ tptp.fresh_717452603ubject @t44)) % 0.97/1.17 (define @t237 () (@list @t44 @t99)) % 0.97/1.17 (define @t238 () (@var "Y" tptp.late_freeRes)) % 0.97/1.17 (define @t239 () (@var "X123" tptp.name)) % 0.97/1.17 (define @t240 () (@var "X112" tptp.name)) % 0.97/1.17 (define @t241 () (@var "Name22" tptp.name)) % 0.97/1.17 (define @t242 () (@var "Name1" tptp.name)) % 0.97/1.17 (define @t243 () (@var "FreeRes3" tptp.late_freeRes)) % 0.97/1.17 (define @t244 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.97/1.17 (define @t245 () (@var "Name23" tptp.name)) % 0.97/1.17 (define @t246 () (@var "Name12" tptp.name)) % 0.97/1.17 (define @t247 () (@var "Alpha2" tptp.late_freeRes)) % 0.97/1.17 (define @t248 () (@var "Y3" tptp.name)) % 0.97/1.17 (define @t249 () (_ tptp.late_FreeR @t247)) % 0.97/1.17 (define @t250 () (@var "P4" tptp.pi)) % 0.97/1.17 (define @t251 () (_ tptp.late_transitions @t250)) % 0.97/1.17 (define @t252 () (=> (_ @t251 (_ @t249 @t188)) (not (_ (_ tptp.fresh_1641682979reeRes @t248) @t247)))) % 0.97/1.17 (define @t253 () (_ tptp.res @t248)) % 0.97/1.17 (define @t254 () (_ @t253 @t188)) % 0.97/1.17 (define @t255 () (_ @t249 @t254)) % 0.97/1.17 (define @t256 () (@var "Rs" tptp.late_residual)) % 0.97/1.17 (define @t257 () (_ @t253 @t250)) % 0.97/1.17 (define @t258 () (= @t24 @t257)) % 0.97/1.17 (define @t259 () (@list @t250 @t247 @t188 @t248)) % 0.97/1.17 (define @t260 () (@var "A3" tptp.late_subject)) % 0.97/1.17 (define @t261 () (not (_ (_ tptp.fresh_717452603ubject @t183) @t260))) % 0.97/1.17 (define @t262 () (_ tptp.fresh_name_pi @t183)) % 0.97/1.17 (define @t263 () (_ @t262 @t250)) % 0.97/1.17 (define @t264 () (_ (_ tptp.late_BoundR @t260) @t183)) % 0.97/1.17 (define @t265 () (_ @t251 (_ @t264 @t188))) % 0.97/1.17 (define @t266 () (=> @t265 (=> (_ (_ tptp.fresh_717452603ubject @t248) @t260) (=> (not (= @t248 @t183)) (=> @t263 @t261))))) % 0.97/1.17 (define @t267 () (_ @t264 @t254)) % 0.97/1.17 (define @t268 () (@list @t250 @t260 @t183 @t188 @t248)) % 0.97/1.17 (define @t269 () (@var "B2" tptp.name)) % 0.97/1.17 (define @t270 () (@var "A3" tptp.name)) % 0.97/1.17 (define @t271 () (= @t270 @t269)) % 0.97/1.17 (define @t272 () (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t270) @t269))) % 0.97/1.17 (define @t273 () (=> (_ @t251 (_ @t272 @t188)) @t271)) % 0.97/1.17 (define @t274 () (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t270)) @t269) @t188)) % 0.97/1.17 (define @t275 () (_ (_ tptp.res @t269) @t250)) % 0.97/1.17 (define @t276 () (@list @t250 @t270 @t269)) % 0.97/1.17 (define @t277 () (_ tptp.late_transitions @t24)) % 0.97/1.17 (define @t278 () (_ @t39 @t256)) % 0.97/1.17 (define @t279 () (@var "XP" tptp.pi)) % 0.97/1.17 (define @t280 () (@var "F" (-> tptp.pi Bool))) % 0.97/1.17 (define @t281 () (_ @t55 @t32)) % 0.97/1.17 (define @t282 () (_ tptp.late_transitions (_ @t55 @t19))) % 0.97/1.17 (define @t283 () (_ (_ tptp.fresh_1641682979reeRes @t53) @t35)) % 0.97/1.17 (define @t284 () (_ @t282 (_ @t163 @t281))) % 0.97/1.17 (define @t285 () (_ (_ tptp.fresh_717452603ubject @t53) @t161)) % 0.97/1.17 (define @t286 () (@var "Y4" tptp.name)) % 0.97/1.17 (define @t287 () (_ (_ @t162 @t286) @t32)) % 0.97/1.17 (define @t288 () (@var "X5" tptp.name)) % 0.97/1.17 (define @t289 () (_ (_ tptp.res @t288) @t19)) % 0.97/1.17 (define @t290 () (@var "Q4" tptp.pi)) % 0.97/1.17 (define @t291 () (=> @t263 (=> (_ @t262 @t290) @t261))) % 0.97/1.17 (define @t292 () (_ tptp.par @t250)) % 0.97/1.17 (define @t293 () (@var "B" tptp.late_subject)) % 0.97/1.17 (define @t294 () (_ (_ (_ tptp.late_BoundR @t293) @t53) @t32)) % 0.97/1.17 (define @t295 () (= @t30 (_ @t292 @t290))) % 0.97/1.17 (define @t296 () (_ (_ tptp.fresh_717452603ubject @t22) @t161)) % 0.97/1.17 (define @t297 () (_ tptp.tau @t19)) % 0.97/1.17 (define @t298 () (_ tptp.late_transitions (_ @t23 @t297))) % 0.97/1.17 (define @t299 () (_ @t56 @t32)) % 0.97/1.17 (define @t300 () (_ tptp.output @t44)) % 0.97/1.17 (define @t301 () (_ (_ @t300 @t90) @t19)) % 0.97/1.17 (define @t302 () (_ tptp.late_transitions (_ @t23 @t301))) % 0.97/1.17 (define @t303 () (_ tptp.tau @t103)) % 0.97/1.17 (define @t304 () (@list @t44 @t103)) % 0.97/1.17 (define @t305 () (@list @t19 @t18 @t17)) % 0.97/1.17 (define @t306 () (@var "X32" tptp.name)) % 0.97/1.17 (define @t307 () (_ @t224 @t306)) % 0.97/1.17 (define @t308 () (and @t307 @t226 @t105)) % 0.97/1.17 (define @t309 () (_ (_ (_ tptp.output @t306) @t217) @t103)) % 0.97/1.17 (define @t310 () (@list @t44 @t306 @t217 @t103)) % 0.97/1.17 (define @t311 () (_ tptp.tau @t46)) % 0.97/1.17 (define @t312 () (_ (_ (_ tptp.output @t242) @t241) @t169)) % 0.97/1.17 (define @t313 () (@list @t242 @t241 @t169 @t46)) % 0.97/1.17 (define @t314 () (@var "Y32" tptp.name)) % 0.97/1.17 (define @t315 () (= @t306 @t314)) % 0.97/1.17 (define @t316 () (and @t315 @t218 @t197)) % 0.97/1.17 (define @t317 () (@list @t306 @t217 @t103 @t314 @t216 @t196)) % 0.97/1.17 (define @t318 () (@list @t103 @t196)) % 0.97/1.17 (define @t319 () (@var "Pi22" tptp.pi)) % 0.97/1.17 (define @t320 () (@var "Pi12" tptp.pi)) % 0.97/1.17 (define @t321 () (_ (_ tptp.par @t320) @t319)) % 0.97/1.17 (define @t322 () (@list @t242 @t241 @t169 @t320 @t319)) % 0.97/1.17 (define @t323 () (@list @t242 @t241 @t169 @t47 @t46)) % 0.97/1.17 (define @t324 () (_ tptp.tau @t169)) % 0.97/1.17 (define @t325 () (@list @t169 @t320 @t319)) % 0.97/1.17 (define @t326 () (@var "C" tptp.late_subject)) % 0.97/1.17 (define @t327 () (_ tptp.late_transitions @t301)) % 0.97/1.17 (define @t328 () (_ tptp.fresh_1641682979reeRes @t90)) % 0.97/1.17 (define @t329 () (_ @t327 @t38)) % 0.97/1.17 (define @t330 () (_ tptp.late_transitions @t297)) % 0.97/1.17 (define @t331 () (= @t19 @t250)) % 0.97/1.17 (define @t332 () (= @t44 @t270)) % 0.97/1.17 (define @t333 () (and @t332 (= @t90 @t269) @t331)) % 0.97/1.17 (define @t334 () (@list @t44 @t90 @t19 @t256)) % 0.97/1.17 (define @t335 () (@var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) % 0.97/1.17 (define @t336 () (_ (_ @t335 @t35) @t32)) % 0.97/1.17 (define @t337 () (= @t19 @t32)) % 0.97/1.17 (define @t338 () (@list @t19)) % 0.97/1.17 (define @t339 () (@list @t250)) % 0.97/1.17 (define @t340 () (@list @t19 @t256)) % 0.97/1.17 (define @t341 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t90))) % 0.97/1.17 (define @t342 () (_ tptp.input @t44)) % 0.97/1.17 (define @t343 () (_ tptp.late_transitions (_ @t23 (_ (_ @t342 @t53) @t19)))) % 0.97/1.17 (define @t344 () (_ (_ tptp.abs_fun_name_pi @t99) @t106)) % 0.97/1.17 (define @t345 () (_ tptp.fresh_543891186ion_pi @t44)) % 0.97/1.17 (define @t346 () (_ @t345 @t344)) % 0.97/1.17 (define @t347 () (@var "X32" tptp.late_subject)) % 0.97/1.17 (define @t348 () (_ (_ (_ tptp.late_BoundR @t347) @t99) @t106)) % 0.97/1.17 (define @t349 () (_ (_ (_ tptp.subst_name @t90) @t18) @t17)) % 0.97/1.17 (define @t350 () (_ tptp.subst_name @t44)) % 0.97/1.17 (define @t351 () (_ (_ @t350 @t18) @t17)) % 0.97/1.17 (define @t352 () (@list @t44 @t90 @t19 @t18 @t17)) % 0.97/1.17 (define @t353 () (_ (_ @t342 @t22) @t19)) % 0.97/1.17 (define @t354 () (_ tptp.late_transitions @t353)) % 0.97/1.17 (define @t355 () (_ @t354 (_ @t65 @t19))) % 0.97/1.17 (define @t356 () (_ tptp.subs @t353)) % 0.97/1.17 (define @t357 () (_ (_ tptp.res @t99) @t106)) % 0.97/1.17 (define @t358 () (_ (_ (_ tptp.input @t306) @t99) @t106)) % 0.97/1.17 (define @t359 () (= @t344 (_ (_ tptp.abs_fun_name_pi @t98) @t198))) % 0.97/1.17 (define @t360 () (@var "Y32" tptp.late_subject)) % 0.97/1.17 (define @t361 () (= @t90 @t44)) % 0.97/1.17 (define @t362 () (_ tptp.abs_fu1904601852ubject @t44)) % 0.97/1.17 (define @t363 () (_ @t362 @t111)) % 0.97/1.17 (define @t364 () (_ tptp.fresh_728038529ubject @t90)) % 0.97/1.17 (define @t365 () (= (_ @t364 @t363) (or @t361 (_ (_ tptp.fresh_717452603ubject @t90) @t111)))) % 0.97/1.17 (define @t366 () (_ tptp.abs_fu681348580reeRes @t44)) % 0.97/1.17 (define @t367 () (_ @t366 @t117)) % 0.97/1.17 (define @t368 () (_ tptp.fresh_785364841reeRes @t90)) % 0.97/1.17 (define @t369 () (= (_ @t368 @t367) (or @t361 (_ @t328 @t117)))) % 0.97/1.17 (define @t370 () (_ tptp.abs_fun_name_name @t44)) % 0.97/1.17 (define @t371 () (_ @t370 @t22)) % 0.97/1.17 (define @t372 () (_ tptp.fresh_1093033124n_name @t90)) % 0.97/1.17 (define @t373 () (= (_ @t372 @t371) (or @t361 (_ (_ tptp.fresh_name_name @t90) @t22)))) % 0.97/1.17 (define @t374 () (_ tptp.abs_fun_name_pi @t44)) % 0.97/1.17 (define @t375 () (_ @t374 @t124)) % 0.97/1.17 (define @t376 () (_ tptp.fresh_543891186ion_pi @t90)) % 0.97/1.17 (define @t377 () (= (_ @t376 @t375) (or @t361 (_ @t95 @t124)))) % 0.97/1.17 (define @t378 () (_ (_ (_ tptp.input @t242) @t241) @t169)) % 0.97/1.17 (define @t379 () (@var "Name24" tptp.name)) % 0.97/1.17 (define @t380 () (@var "Name13" tptp.name)) % 0.97/1.17 (define @t381 () (_ (_ (_ tptp.input @t380) @t379) @t46)) % 0.97/1.17 (define @t382 () (@list @t242 @t241 @t169 @t380 @t379 @t46)) % 0.97/1.17 (define @t383 () (@list @t169 @t380 @t379 @t46)) % 0.97/1.17 (define @t384 () (_ (_ (_ tptp.match @t44) @t90) @t19)) % 0.97/1.17 (define @t385 () (_ tptp.mismatch @t44)) % 0.97/1.17 (define @t386 () (_ (_ @t385 @t90) @t19)) % 0.97/1.17 (define @t387 () (_ (_ (_ tptp.match @t306) @t217) @t103)) % 0.97/1.17 (define @t388 () (_ (_ (_ tptp.mismatch @t306) @t217) @t103)) % 0.97/1.17 (define @t389 () (_ (_ (_ tptp.mismatch @t380) @t379) @t46)) % 0.97/1.17 (define @t390 () (_ (_ (_ tptp.match @t242) @t241) @t169)) % 0.97/1.17 (define @t391 () (_ (_ tptp.late_transitions @t386) @t256)) % 0.97/1.17 (define @t392 () (_ @t251 @t256)) % 0.97/1.17 (define @t393 () (@var "F" (-> tptp.name tptp.name Bool))) % 0.97/1.17 (define @t394 () (_ @t393 @t44)) % 0.97/1.17 (define @t395 () (_ @t394 @t90)) % 0.97/1.17 (define @t396 () (@list @t44 @t90 @t19 @t256 @t393)) % 0.97/1.17 (define @t397 () (_ (_ tptp.late_transitions @t384) @t256)) % 0.97/1.17 (define @t398 () (_ (_ (_ tptp.mismatch @t242) @t241) @t169)) % 0.97/1.17 (define @t399 () (_ (_ (_ tptp.match @t380) @t379) @t46)) % 0.97/1.17 (define @t400 () (@var "Y" (-> tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t401 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t402 () (_ tptp.abs_fu1614711987ion_pi @t44)) % 0.97/1.17 (define @t403 () (_ @t402 @t401)) % 0.97/1.17 (define @t404 () (@var "Y" tptp.pi)) % 0.97/1.17 (define @t405 () (@var "P" (-> tptp.late_subject tptp.pi Bool))) % 0.97/1.17 (define @t406 () (_ tptp.bang @t135)) % 0.97/1.17 (define @t407 () (_ @t405 @t138)) % 0.97/1.17 (define @t408 () (@var "Za" tptp.late_subject)) % 0.97/1.17 (define @t409 () (_ @t405 @t408)) % 0.97/1.17 (define @t410 () (@list @t408)) % 0.97/1.17 (define @t411 () (forall @t410 (_ @t409 @t135))) % 0.97/1.17 (define @t412 () (@list @t135 @t138)) % 0.97/1.17 (define @t413 () (_ (_ tptp.res @t130) @t135)) % 0.97/1.17 (define @t414 () (@var "Pi23" tptp.pi)) % 0.97/1.17 (define @t415 () (@var "Pi13" tptp.pi)) % 0.97/1.17 (define @t416 () (_ (_ tptp.par @t415) @t414)) % 0.97/1.17 (define @t417 () (forall @t410 (_ @t409 @t414))) % 0.97/1.17 (define @t418 () (forall @t410 (_ @t409 @t415))) % 0.97/1.17 (define @t419 () (@list @t415 @t414 @t138)) % 0.97/1.17 (define @t420 () (_ (_ tptp.sum @t415) @t414)) % 0.97/1.17 (define @t421 () (_ (_ (_ tptp.mismatch @t246) @t245) @t135)) % 0.97/1.17 (define @t422 () (@list @t246 @t245 @t135 @t138)) % 0.97/1.17 (define @t423 () (_ (_ (_ tptp.match @t246) @t245) @t135)) % 0.97/1.17 (define @t424 () (_ (_ (_ tptp.input @t246) @t245) @t135)) % 0.97/1.17 (define @t425 () (_ tptp.fresh_name_name @t245)) % 0.97/1.17 (define @t426 () (_ @t425 @t246)) % 0.97/1.17 (define @t427 () (_ tptp.tau @t135)) % 0.97/1.17 (define @t428 () (_ (_ (_ tptp.output @t246) @t245) @t135)) % 0.97/1.17 (define @t429 () (@var "P" (-> tptp.late_freeRes tptp.pi Bool))) % 0.97/1.17 (define @t430 () (_ @t429 @t147)) % 0.97/1.17 (define @t431 () (@var "Za" tptp.late_freeRes)) % 0.97/1.17 (define @t432 () (_ @t429 @t431)) % 0.97/1.17 (define @t433 () (@list @t431)) % 0.97/1.17 (define @t434 () (forall @t433 (_ @t432 @t135))) % 0.97/1.17 (define @t435 () (@list @t135 @t147)) % 0.97/1.17 (define @t436 () (forall @t433 (_ @t432 @t414))) % 0.97/1.17 (define @t437 () (forall @t433 (_ @t432 @t415))) % 0.97/1.17 (define @t438 () (@list @t415 @t414 @t147)) % 0.97/1.17 (define @t439 () (@list @t246 @t245 @t135 @t147)) % 0.97/1.17 (define @t440 () (@var "P" (-> tptp.name tptp.pi Bool))) % 0.97/1.17 (define @t441 () (_ @t440 @t152)) % 0.97/1.17 (define @t442 () (@var "Za" tptp.name)) % 0.97/1.17 (define @t443 () (_ @t440 @t442)) % 0.97/1.17 (define @t444 () (@list @t442)) % 0.97/1.17 (define @t445 () (forall @t444 (_ @t443 @t135))) % 0.97/1.17 (define @t446 () (@list @t135 @t152)) % 0.97/1.17 (define @t447 () (forall @t444 (_ @t443 @t414))) % 0.97/1.17 (define @t448 () (forall @t444 (_ @t443 @t415))) % 0.97/1.17 (define @t449 () (@list @t415 @t414 @t152)) % 0.97/1.17 (define @t450 () (@list @t246 @t245 @t135 @t152)) % 0.97/1.17 (define @t451 () (@var "P" (-> tptp.pi tptp.pi Bool))) % 0.97/1.17 (define @t452 () (_ @t451 @t157)) % 0.97/1.17 (define @t453 () (@var "Za" tptp.pi)) % 0.97/1.17 (define @t454 () (_ @t451 @t453)) % 0.97/1.17 (define @t455 () (@list @t453)) % 0.97/1.17 (define @t456 () (forall @t455 (_ @t454 @t135))) % 0.97/1.17 (define @t457 () (@list @t135 @t157)) % 0.97/1.17 (define @t458 () (forall @t455 (_ @t454 @t414))) % 0.97/1.17 (define @t459 () (forall @t455 (_ @t454 @t415))) % 0.97/1.17 (define @t460 () (@list @t415 @t414 @t157)) % 0.97/1.17 (define @t461 () (@list @t246 @t245 @t135 @t157)) % 0.97/1.17 (define @t462 () (_ tptp.bang @t103)) % 0.97/1.17 (define @t463 () (_ (_ tptp.sum @t106) @t103)) % 0.97/1.17 (define @t464 () (_ tptp.bang @t19)) % 0.97/1.17 (define @t465 () (_ (_ tptp.sum @t19) @t27)) % 0.97/1.17 (define @t466 () (_ tptp.bang @t46)) % 0.97/1.17 (define @t467 () (_ (_ tptp.sum @t320) @t319)) % 0.97/1.17 (define @t468 () (@list @t50 @t49 @t46)) % 0.97/1.17 (define @t469 () (_ @t43 @t256)) % 0.97/1.17 (define @t470 () (_ (_ tptp.late_transitions @t465) @t256)) % 0.97/1.17 (define @t471 () (_ (_ tptp.sum @t50) @t49)) % 0.97/1.17 (define @t472 () (@list @t320 @t319)) % 0.97/1.17 (define @t473 () (@list @t46)) % 0.97/1.17 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tptp.finite_finite_name (_ tptp.supp_L1228270395s_name @t117))) % 0.97/1.17 (define @t493 () (_ tptp.finite_finite_name (_ tptp.supp_name_name @t22))) % 0.97/1.17 (define @t494 () (_ tptp.finite_finite_name (_ tptp.supp_pi_name @t124))) % 0.97/1.17 (define @t495 () (_ tptp.finite_finite_name (_ tptp.supp_n468628396i_name @t401))) % 0.97/1.17 (define @t496 () (@var "X" (-> tptp.name tptp.noption_Late_subject))) % 0.97/1.17 (define @t497 () (_ tptp.finite_finite_name (_ tptp.supp_n1630792207t_name @t496))) % 0.97/1.17 (define @t498 () (@var "X" (-> tptp.name tptp.noption_Late_freeRes))) % 0.97/1.17 (define @t499 () (_ tptp.finite_finite_name (_ tptp.supp_n252280103s_name @t498))) % 0.97/1.17 (define @t500 () (@var "X" (-> tptp.name tptp.noption_name))) % 0.97/1.17 (define @t501 () (_ tptp.finite_finite_name (_ tptp.supp_n352473082e_name @t500))) % 0.97/1.17 (define @t502 () (@var "X" (-> tptp.late_freeRes tptp.pi tptp.late_subject))) % 0.97/1.17 (define @t503 () (_ tptp.finite_finite_name (_ tptp.supp_L1759672260t_name @t502))) % 0.97/1.17 (define @t504 () (@var "X" (-> tptp.late_freeRes tptp.pi tptp.late_freeRes))) % 0.97/1.17 (define @t505 () (_ tptp.finite_finite_name (_ tptp.supp_L381160156s_name @t504))) % 0.97/1.17 (define @t506 () (_ (_ tptp.fresh_543891186ion_pi @t112) @t401)) % 0.97/1.17 (define @t507 () (@list @t401)) % 0.97/1.17 (define @t508 () (_ (_ tptp.fresh_728038529ubject @t112) @t496)) % 0.97/1.17 (define @t509 () (@list @t496)) % 0.97/1.17 (define @t510 () (_ (_ tptp.fresh_785364841reeRes @t112) @t498)) % 0.97/1.17 (define @t511 () (@list @t498)) % 0.97/1.17 (define @t512 () (_ (_ tptp.fresh_1093033124n_name @t112) @t500)) % 0.97/1.17 (define @t513 () (@list @t500)) % 0.97/1.17 (define @t514 () (_ (_ tptp.fresh_198785932ubject @t112) @t502)) % 0.97/1.17 (define @t515 () (@list @t502)) % 0.97/1.17 (define @t516 () (_ (_ tptp.fresh_256112244reeRes @t112) @t504)) % 0.97/1.17 (define @t517 () (@list @t504)) % 0.97/1.17 (define @t518 () (@var "X3" tptp.late_subject)) % 0.97/1.17 (define @t519 () (@var "A4" tptp.name)) % 0.97/1.17 (define @t520 () (_ tptp.member_name @t519)) % 0.97/1.17 (define @t521 () (@var "X3" tptp.late_freeRes)) % 0.97/1.17 (define @t522 () (@var "X3" tptp.pi)) % 0.97/1.17 (define @t523 () (@var "X3" (-> tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t524 () (@var "X3" (-> tptp.name tptp.noption_Late_subject))) % 0.97/1.17 (define @t525 () (@var "X3" (-> tptp.name tptp.noption_Late_freeRes))) % 0.97/1.17 (define @t526 () (@var "X3" (-> tptp.name tptp.noption_name))) % 0.97/1.17 (define @t527 () (@var "X3" (-> tptp.late_freeRes tptp.pi tptp.late_subject))) % 0.97/1.17 (define @t528 () (@var "X3" (-> tptp.late_freeRes tptp.pi tptp.late_freeRes))) % 0.97/1.17 (define @t529 () (_ tptp.supp_n468628396i_name @t344)) % 0.97/1.17 (define @t530 () (_ tptp.supp_pi_name @t103)) % 0.97/1.17 (define @t531 () (@list @t103)) % 0.97/1.17 (define @t532 () (_ tptp.supp_name_name @t99)) % 0.97/1.17 (define @t533 () (@list @t99)) % 0.97/1.17 (define @t534 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.late_subject))) % 0.97/1.17 (define @t535 () (_ (_ tptp.late_FreeR @t243) @t169)) % 0.97/1.17 (define @t536 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject))) % 0.97/1.17 (define @t537 () (_ (_ tptp.late_r1347955901ubject @t536) @t534)) % 0.97/1.17 (define @t538 () (= (_ @t537 @t535) (_ (_ @t534 @t243) @t169))) % 0.97/1.17 (define @t539 () (@var "X33" tptp.pi)) % 0.97/1.17 (define @t540 () (@var "X12" tptp.late_subject)) % 0.97/1.17 (define @t541 () (_ (_ (_ @t536 @t540) @t220) @t539)) % 0.97/1.17 (define @t542 () (_ tptp.fresh_717452603ubject @t220)) % 0.97/1.17 (define @t543 () (_ @t129 @t541)) % 0.97/1.17 (define @t544 () (=> @t543 (_ @t542 @t541))) % 0.97/1.17 (define @t545 () (_ @t542 @t133)) % 0.97/1.17 (define @t546 () (_ @t542 @t540)) % 0.97/1.17 (define @t547 () (_ (_ tptp.fresh_795910143ubject @t220) @t536)) % 0.97/1.17 (define @t548 () (@list 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@t535) (_ (_ @t558 @t243) @t169))) % 0.97/1.17 (define @t562 () (_ (_ (_ @t559 @t540) @t220) @t539)) % 0.97/1.17 (define @t563 () (_ tptp.fresh_1641682979reeRes @t220)) % 0.97/1.17 (define @t564 () (_ @t244 @t562)) % 0.97/1.17 (define @t565 () (=> @t564 (_ @t563 @t562))) % 0.97/1.17 (define @t566 () (_ (_ tptp.fresh_660367079reeRes @t220) @t559)) % 0.97/1.17 (define @t567 () (forall @t548 (=> @t566 (=> @t546 (=> @t545 @t565))))) % 0.97/1.17 (define @t568 () (forall @t552 (_ @t244 (_ (_ @t558 @t551) @t550)))) % 0.97/1.17 (define @t569 () (forall @t548 @t564)) % 0.97/1.17 (define @t570 () (_ tptp.finite_finite_name (_ tptp.supp_L381160156s_name @t558))) % 0.97/1.17 (define @t571 () (_ tptp.finite_finite_name (_ tptp.supp_L1178477943s_name @t559))) % 0.97/1.17 (define @t572 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.name))) % 0.97/1.17 (define @t573 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.name))) % 0.97/1.17 (define @t574 () (_ (_ tptp.late_r1174711868c_name @t573) @t572)) % 0.97/1.17 (define @t575 () (= (_ @t574 @t535) (_ (_ @t572 @t243) @t169))) % 0.97/1.17 (define @t576 () (_ (_ (_ @t573 @t540) @t220) @t539)) % 0.97/1.17 (define @t577 () (_ tptp.fresh_name_name @t220)) % 0.97/1.17 (define @t578 () (_ @t177 @t576)) % 0.97/1.17 (define @t579 () (=> @t578 (_ @t577 @t576))) % 0.97/1.17 (define @t580 () (_ (_ tptp.fresh_621211324i_name @t220) @t573)) % 0.97/1.17 (define @t581 () (forall @t548 (=> @t580 (=> @t546 (=> @t545 @t579))))) % 0.97/1.17 (define @t582 () (forall @t552 (_ @t177 (_ (_ @t572 @t551) @t550)))) % 0.97/1.17 (define @t583 () (forall @t548 @t578)) % 0.97/1.17 (define @t584 () (_ tptp.finite_finite_name (_ tptp.supp_L926407557e_name @t572))) % 0.97/1.17 (define @t585 () (_ tptp.finite_finite_name (_ tptp.supp_L538372628e_name @t573))) % 0.97/1.17 (define @t586 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.pi))) % 0.97/1.17 (define @t587 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.pi))) % 0.97/1.17 (define @t588 () (_ (_ tptp.late_residual_rec_pi @t587) @t586)) % 0.97/1.17 (define @t589 () (= (_ @t588 @t535) (_ (_ @t586 @t243) @t169))) % 0.97/1.17 (define @t590 () (_ (_ (_ @t587 @t540) @t220) @t539)) % 0.97/1.17 (define @t591 () (_ @t479 @t590)) % 0.97/1.17 (define @t592 () (=> @t591 (_ (_ tptp.fresh_name_pi @t220) @t590))) % 0.97/1.17 (define @t593 () (_ (_ tptp.fresh_1438126218_pi_pi @t220) @t587)) % 0.97/1.17 (define @t594 () (forall @t548 (=> @t593 (=> @t546 (=> @t545 @t592))))) % 0.97/1.17 (define @t595 () (forall @t552 (_ @t479 (_ (_ @t586 @t551) @t550)))) % 0.97/1.17 (define @t596 () (forall @t548 @t591)) % 0.97/1.17 (define @t597 () (_ tptp.finite_finite_name (_ tptp.supp_L2052723895i_name @t586))) % 0.97/1.17 (define @t598 () (_ tptp.finite_finite_name (_ tptp.supp_L729745222i_name @t587))) % 0.97/1.17 (define @t599 () (_ @t563 @t145)) % 0.97/1.17 (define @t600 () (forall @t548 (=> @t547 (=> @t546 (=> @t599 @t544))))) % 0.97/1.17 (define @t601 () (_ tptp.finite_finite_name (_ tptp.supp_L1228270395s_name @t145))) % 0.97/1.17 (define @t602 () (forall @t548 (=> @t566 (=> @t546 (=> @t599 @t565))))) % 0.97/1.17 (define @t603 () (forall @t548 (=> @t580 (=> @t546 (=> @t599 @t579))))) % 0.97/1.17 (define @t604 () (forall @t548 (=> @t593 (=> @t546 (=> @t599 @t592))))) % 0.97/1.17 (define @t605 () (_ @t577 @t150)) % 0.97/1.17 (define @t606 () (forall @t548 (=> @t547 (=> @t546 (=> @t605 @t544))))) % 0.97/1.17 (define @t607 () (_ tptp.finite_finite_name (_ tptp.supp_name_name @t150))) % 0.97/1.17 (define @t608 () (forall @t548 (=> @t566 (=> @t546 (=> @t605 @t565))))) % 0.97/1.17 (define @t609 () (_ (_ tptp.fresh_717452603ubject @t110) @t128)) % 0.97/1.17 (define @t610 () (=> (_ (_ tptp.fresh_795910143ubject @t110) @t536) (=> (_ (_ tptp.fresh_198785932ubject @t110) @t534) (=> @t609 (= (_ @t537 @t170) (_ (_ (_ @t536 @t128) @t110) @t169)))))) % 0.97/1.17 (define @t611 () (=> (_ (_ tptp.fresh_660367079reeRes @t110) @t559) (=> (_ (_ tptp.fresh_256112244reeRes @t110) @t558) (=> @t609 (= (_ @t560 @t170) (_ (_ (_ @t559 @t128) @t110) @t169)))))) % 0.97/1.17 (define @t612 () (=> (_ (_ tptp.fresh_621211324i_name @t110) @t573) (=> (_ (_ tptp.fresh_1030632537i_name @t110) @t572) (=> @t609 (= (_ @t574 @t170) (_ (_ (_ @t573 @t128) @t110) @t169)))))) % 0.97/1.17 (define @t613 () (=> (_ (_ tptp.fresh_1438126218_pi_pi @t110) @t587) (=> (_ (_ tptp.fresh_1011532071_pi_pi @t110) @t586) (=> @t609 (= (_ @t588 @t170) (_ (_ (_ @t587 @t128) @t110) @t169)))))) % 0.97/1.17 (define @t614 () (@var "Y" (-> tptp.name tptp.noption_name))) % 0.97/1.17 (define @t615 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_name))) % 0.97/1.17 (define @t616 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_name))) % 0.97/1.17 (define @t617 () (@var "X" tptp.late_residual)) % 0.97/1.17 (define @t618 () (_ @t235 @t617)) % 0.97/1.17 (define @t619 () (@var "Y6" (-> tptp.name tptp.noption_name))) % 0.97/1.17 (define @t620 () (_ (_ (_ tptp.late_r303715378n_name @t616) @t615) @t617)) % 0.97/1.17 (define @t621 () (@var "Y" (-> tptp.name tptp.noptio354675977ion_pi))) % 0.97/1.17 (define @t622 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.name tptp.noptio354675977ion_pi))) % 0.97/1.17 (define @t623 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noptio354675977ion_pi))) % 0.97/1.17 (define @t624 () (@var "Y6" (-> tptp.name tptp.noptio354675977ion_pi))) % 0.97/1.17 (define @t625 () (_ (_ (_ tptp.late_r1558248490ion_pi @t623) @t622) @t617)) % 0.97/1.17 (define @t626 () (@var "Y6" tptp.late_subject)) % 0.97/1.17 (define @t627 () (_ (_ tptp.late_r689718217ubject @t536) @t534)) % 0.97/1.17 (define @t628 () (_ @t627 @t617)) % 0.97/1.17 (define @t629 () (@var "Y6" tptp.late_freeRes)) % 0.97/1.17 (define @t630 () (_ (_ tptp.late_r1613948593reeRes @t559) @t558)) % 0.97/1.17 (define @t631 () (_ @t630 @t617)) % 0.97/1.17 (define @t632 () (@var "Y6" tptp.name)) % 0.97/1.17 (define @t633 () (_ (_ tptp.late_r1742481968t_name @t573) @t572)) % 0.97/1.17 (define @t634 () (_ @t633 @t617)) % 0.97/1.17 (define @t635 () (@var "Y6" tptp.pi)) % 0.97/1.17 (define @t636 () (_ (_ tptp.late_r1261898622set_pi @t587) @t586)) % 0.97/1.17 (define @t637 () (_ @t636 @t617)) % 0.97/1.17 (define @t638 () (@var "F2" (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t639 () (@var "F1" (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t640 () (@var "Y6" (-> tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t641 () (_ (_ tptp.late_r750878080ion_pi @t639) @t638)) % 0.97/1.17 (define @t642 () (_ @t641 @t617)) % 0.97/1.17 (define @t643 () (_ tptp.finite_finite_name (_ tptp.supp_L635439693i_name @t638))) % 0.97/1.17 (define @t644 () (_ tptp.finite_finite_name (_ tptp.supp_L3230824i_name @t639))) % 0.97/1.17 (define @t645 () (@var "X4" tptp.late_subject)) % 0.97/1.17 (define @t646 () (@var "Y7" tptp.late_subject)) % 0.97/1.17 (define @t647 () (exists (@list @t645) (and (_ @t628 @t645) (forall (@list @t646) (=> (_ @t628 @t646) (= @t646 @t645)))))) % 0.97/1.17 (define @t648 () (@list @t539)) % 0.97/1.17 (define @t649 () (forall @t648 @t544)) % 0.97/1.17 (define @t650 () (@list @t540 @t220)) % 0.97/1.17 (define @t651 () (@var "X4" tptp.late_freeRes)) % 0.97/1.17 (define @t652 () (@var "Y7" tptp.late_freeRes)) % 0.97/1.17 (define @t653 () (exists (@list @t651) (and (_ @t631 @t651) (forall (@list @t652) (=> (_ @t631 @t652) (= @t652 @t651)))))) % 0.97/1.17 (define @t654 () (forall @t648 @t565)) % 0.97/1.17 (define @t655 () (@var "Y7" tptp.name)) % 0.97/1.17 (define @t656 () (exists @t184 (and (_ @t634 @t183) (forall (@list @t655) (=> (_ @t634 @t655) (= @t655 @t183)))))) % 0.97/1.17 (define @t657 () (forall @t648 @t579)) % 0.97/1.17 (define @t658 () (@var "X4" tptp.pi)) % 0.97/1.17 (define @t659 () (@var "Y7" tptp.pi)) % 0.97/1.17 (define @t660 () (exists (@list @t658) (and (_ @t637 @t658) (forall (@list @t659) (=> (_ @t637 @t659) (= @t659 @t658)))))) % 0.97/1.17 (define @t661 () (forall @t648 @t592)) % 0.97/1.17 (define @t662 () (@var "Y1" tptp.late_subject)) % 0.97/1.17 (define @t663 () (@var "X1" tptp.late_residual)) % 0.97/1.17 (define @t664 () (@var "Y1" tptp.late_freeRes)) % 0.97/1.17 (define @t665 () (@var "Y1" (-> tptp.name tptp.noption_pi))) % 0.97/1.17 (define @t666 () (_ tptp.sup_sup_set_name (_ tptp.supp_name_name @t306))) % 0.97/1.17 (define @t667 () (_ (_ tptp.sup_sup_set_name (_ tptp.supp_pi_name @t106)) @t530)) % 0.97/1.17 (define @t668 () (@list @t106 @t103)) % 0.97/1.17 (define @t669 () (_ tptp.sup_sup_set_name (_ tptp.supp_name_name @t217))) % 0.97/1.17 (define @t670 () (@var "P" Bool)) % 0.97/1.17 (define @t671 () (@list @t22 @t53)) % 0.97/1.17 (define @t672 () (_ tptp.par @t9)) % 0.97/1.17 (define @t673 () (_ tptp.res tptp.y)) % 0.97/1.17 (define @t674 () (_ (_ tptp.par @t13) tptp.r)) % 0.97/1.17 (define @t675 () (_ tptp.late_transitions @t674)) % 0.97/1.17 (define @t676 () (not (_ @t675 (_ @t56 (_ @t673 (_ @t672 (_ (_ (_ tptp.subs tptp.r2) tptp.x) tptp.y))))))) % 0.97/1.17 (define @t677 () (@var "B3" tptp.name)) % 0.97/1.17 (define @t678 () (= @t519 @t677)) % 0.97/1.17 (define @t679 () (lambda (@list @t519 @t677) (not @t678))) % 0.97/1.17 (define @t680 () (@var "C3" tptp.name)) % 0.97/1.17 (define @t681 () (_ tptp.if_name @t678)) % 0.97/1.17 (define @t682 () (_ (_ @t681 @t680) @t519)) % 0.97/1.17 (define @t683 () (lambda (@list @t519 @t677 @t680) @t682)) % 0.97/1.17 (define @t684 () (@var "P5" tptp.pi)) % 0.97/1.17 (define @t685 () (_ tptp.bang @t684)) % 0.97/1.17 (define @t686 () (@var "A23" tptp.pi)) % 0.97/1.17 (define @t687 () (@var "A12" tptp.pi)) % 0.97/1.17 (define @t688 () (= @t687 @t684)) % 0.97/1.17 (define @t689 () (@list @t684)) % 0.97/1.17 (define @t690 () (lambda (@list @t687 @t686) (or (exists @t689 (and @t688 (= @t686 @t685))) (exists @t689 (and @t688 (= @t686 (_ (_ tptp.par @t684) @t685))))))) % 0.97/1.17 (define @t691 () (@var "__flatten_var_0" tptp.pi)) % 0.97/1.17 (define @t692 () (_ tptp.bang @t691)) % 0.97/1.17 (define @t693 () (@list @t684 @t691)) % 0.97/1.17 (define @t694 () (lambda @t693 @t692)) % 0.97/1.17 (define @t695 () (@var "Y5" tptp.name)) % 0.97/1.17 (define @t696 () (_ (_ tptp.res @t695) @t691)) % 0.97/1.17 (define @t697 () (@list @t695 @t684 @t691)) % 0.97/1.17 (define @t698 () (lambda @t697 @t696)) % 0.97/1.17 (define @t699 () (@var "__flatten_var_1" tptp.pi)) % 0.97/1.17 (define @t700 () (_ (_ tptp.par @t691) @t699)) % 0.97/1.17 (define @t701 () (@list @t684 (@var "Q5" tptp.pi) @t691 @t699)) % 0.97/1.17 (define @t702 () (lambda @t701 @t700)) % 0.97/1.17 (define @t703 () (_ (_ tptp.sum @t691) @t699)) % 0.97/1.17 (define @t704 () (lambda @t701 @t703)) % 0.97/1.17 (define @t705 () (@var "D2" tptp.name)) % 0.97/1.17 (define @t706 () (_ (_ (_ tptp.subst_name @t677) @t680) @t705)) % 0.97/1.17 (define @t707 () (_ (_ (_ tptp.subst_name @t519) @t680) @t705)) % 0.97/1.17 (define @t708 () (@list @t519 @t677 @t684 @t691)) % 0.97/1.17 (define @t709 () (lambda @t708 (_ (_ (_ tptp.mismatch @t707) @t706) @t691))) % 0.97/1.17 (define @t710 () (lambda @t708 (_ (_ (_ tptp.match @t707) @t706) @t691))) % 0.97/1.17 (define @t711 () (@list @t519 @t695 @t684 @t691)) % 0.97/1.17 (define @t712 () (lambda @t711 (_ (_ (_ tptp.input @t707) @t695) @t691))) % 0.97/1.17 (define @t713 () (_ tptp.tau @t691)) % 0.97/1.17 (define @t714 () (lambda @t693 @t713)) % 0.97/1.17 (define @t715 () (lambda @t708 (_ (_ (_ tptp.output @t707) @t706) @t691))) % 0.97/1.17 (define @t716 () (_ tptp.pi_rec_pi tptp.piNil)) % 0.97/1.17 (define @t717 () (@list @t522 @t680 @t705)) % 0.97/1.17 (define @t718 () (lambda @t717 (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t715) @t714) @t712) @t710) @t709) @t704) @t702) @t698) @t694) @t522))) % 0.97/1.17 (define @t719 () (@list @t519)) % 0.97/1.17 (define @t720 () (lambda (@list @t518) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_717452603ubject @t519) @t518)))))) % 0.97/1.17 (define @t721 () (lambda (@list @t521) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_1641682979reeRes @t519) @t521)))))) % 0.97/1.17 (define @t722 () (lambda @t181 (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_name_name @t519) @t180)))))) % 0.97/1.17 (define @t723 () (lambda (@list @t522) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_name_pi @t519) @t522)))))) % 0.97/1.17 (define @t724 () (lambda (@list @t523) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_543891186ion_pi @t519) @t523)))))) % 0.97/1.17 (define @t725 () (lambda (@list @t524) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_728038529ubject @t519) @t524)))))) % 0.97/1.17 (define @t726 () (lambda (@list @t525) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_785364841reeRes @t519) @t525)))))) % 0.97/1.17 (define @t727 () (lambda (@list @t526) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_1093033124n_name @t519) @t526)))))) % 0.97/1.17 (define @t728 () (lambda (@list @t527) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_198785932ubject @t519) @t527)))))) % 0.97/1.17 (define @t729 () (lambda (@list @t528) (_ tptp.collect_name (lambda @t719 (not (_ (_ tptp.fresh_256112244reeRes @t519) @t528)))))) % 0.97/1.17 (define @t730 () (tptp.bang @t691)) % 0.97/1.17 (define @t731 () (lambda @t693 @t730)) % 0.97/1.17 (define @t732 () (tptp.res @t695 @t691)) % 0.97/1.17 (define @t733 () (lambda @t697 @t732)) % 0.97/1.17 (define @t734 () (tptp.par @t691 @t699)) % 0.97/1.17 (define @t735 () (lambda @t701 @t734)) % 0.97/1.17 (define @t736 () (tptp.sum @t691 @t699)) % 0.97/1.17 (define @t737 () (lambda @t701 @t736)) % 0.97/1.17 (define @t738 () (= @t22 @t677)) % 0.97/1.17 (define @t739 () (tptp.if_name @t738 @t53 @t677)) % 0.97/1.17 (define @t740 () (= @t22 @t519)) % 0.97/1.17 (define @t741 () (tptp.if_name @t740 @t53 @t519)) % 0.97/1.17 (define @t742 () (tptp.mismatch @t741 @t739 @t691)) % 0.97/1.17 (define @t743 () (lambda @t708 @t742)) % 0.97/1.17 (define @t744 () (tptp.match @t741 @t739 @t691)) % 0.97/1.17 (define @t745 () (lambda @t708 @t744)) % 0.97/1.17 (define @t746 () (tptp.input @t741 @t695 @t691)) % 0.97/1.17 (define @t747 () (lambda @t711 @t746)) % 0.97/1.17 (define @t748 () (tptp.tau @t691)) % 0.97/1.17 (define @t749 () (lambda @t693 @t748)) % 0.97/1.17 (define @t750 () (tptp.output @t741 @t739 @t691)) % 0.97/1.17 (define @t751 () (lambda @t708 @t750)) % 0.97/1.17 (define @t752 () (tptp.pi_rec_pi tptp.piNil @t751 @t749 @t747 @t745 @t743 @t737 @t735 @t733 @t731 @t41)) % 0.97/1.17 (define @t753 () (tptp.par @t32 @t752)) % 0.97/1.17 (define @t754 () (tptp.res @t53 @t753)) % 0.97/1.17 (define @t755 () (tptp.late_FreeR tptp.late_TauR @t754)) % 0.97/1.18 (define @t756 () (tptp.par @t19 @t27)) % 0.97/1.18 (define @t757 () (tptp.late_transitions @t756 @t755)) % 0.97/1.18 (define @t758 () (tptp.fresh_name_pi @t53 @t27)) % 0.97/1.18 (define @t759 () (not @t758)) % 0.97/1.18 (define @t760 () (tptp.late_InputS @t44)) % 0.97/1.18 (define @t761 () (tptp.late_BoundR @t760 @t22 @t41)) % 0.97/1.18 (define @t762 () (tptp.late_transitions @t27 @t761)) % 0.97/1.18 (define @t763 () (not @t762)) % 0.97/1.18 (define @t764 () (tptp.late_BoundOutputS @t44)) % 0.97/1.18 (define @t765 () (tptp.late_BoundR @t764 @t53 @t32)) % 0.97/1.18 (define @t766 () (tptp.late_transitions @t19 @t765)) % 0.97/1.18 (define @t767 () (not @t766)) % 0.97/1.18 (define @t768 () (or @t767 @t763 @t759 @t757)) % 0.97/1.18 (define @t769 () (_ tptp.if_name @t738)) % 0.97/1.18 (define @t770 () (_ (_ @t769 @t53) @t677)) % 0.97/1.18 (define @t771 () (_ tptp.if_name @t740)) % 0.97/1.18 (define @t772 () (_ (_ @t771 @t53) @t519)) % 0.97/1.18 (define @t773 () (_ (_ (_ tptp.mismatch @t772) @t770) @t691)) % 0.97/1.18 (define @t774 () (lambda @t708 @t773)) % 0.97/1.18 (define @t775 () (_ (_ (_ tptp.match @t772) @t770) @t691)) % 0.97/1.18 (define @t776 () (lambda @t708 @t775)) % 0.97/1.18 (define @t777 () (_ (_ (_ tptp.input @t772) @t695) @t691)) % 0.97/1.18 (define @t778 () (lambda @t711 @t777)) % 0.97/1.18 (define @t779 () (_ (_ (_ tptp.output @t772) @t770) @t691)) % 0.97/1.18 (define @t780 () (lambda @t708 @t779)) % 0.97/1.18 (define @t781 () (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t780) @t714) @t778) @t776) @t774) @t704) @t702) @t698) @t694) @t41)) % 0.97/1.18 (define @t782 () (_ @t33 @t781)) % 0.97/1.18 (define @t783 () (_ @t55 @t782)) % 0.97/1.18 (define @t784 () (_ @t56 @t783)) % 0.97/1.18 (define @t785 () (_ @t37 @t784)) % 0.97/1.18 (define @t786 () (not @t70)) % 0.97/1.18 (define @t787 () (not @t73)) % 0.97/1.18 (define @t788 () (not @t76)) % 0.97/1.18 (define @t789 () (or @t788 @t787 @t786 @t785)) % 0.97/1.18 (define @t790 () (or @t787 @t786 @t785)) % 0.97/1.18 (define @t791 () (=> @t70 @t785)) % 0.97/1.18 (define @t792 () (=> @t73 @t791)) % 0.97/1.18 (define @t793 () (_ (_ @t769 @t705) @t677)) % 0.97/1.18 (define @t794 () (_ (_ @t771 @t705) @t519)) % 0.97/1.18 (define @t795 () (@list @t705)) % 0.97/1.18 (define @t796 () (_ (_ (_ tptp.if_name (= @t677 @t22)) @t705) @t677)) % 0.97/1.18 (define @t797 () (_ (_ (_ tptp.if_name (= @t519 @t22)) @t705) @t519)) % 0.97/1.18 (define @t798 () (lambda @t708 (_ (_ (_ tptp.mismatch @t797) @t796) @t691))) % 0.97/1.18 (define @t799 () (lambda @t708 (_ (_ (_ tptp.match @t797) @t796) @t691))) % 0.97/1.18 (define @t800 () (lambda @t711 (_ (_ (_ tptp.input @t797) @t695) @t691))) % 0.97/1.18 (define @t801 () (lambda @t708 (_ (_ (_ tptp.output @t797) @t796) @t691))) % 0.97/1.18 (define @t802 () (lambda @t795 (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t801) @t714) @t800) @t799) @t798) @t704) @t702) @t698) @t694) @t41))) % 0.97/1.18 (define @t803 () (_ tptp.if_name (= @t677 @t680))) % 0.97/1.18 (define @t804 () (_ (_ @t803 @t705) @t677)) % 0.97/1.18 (define @t805 () (_ tptp.if_name (= @t519 @t680))) % 0.97/1.18 (define @t806 () (_ (_ @t805 @t705) @t519)) % 0.97/1.18 (define @t807 () (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 (lambda @t708 (_ (_ (_ tptp.output @t806) @t804) @t691))) @t714) (lambda @t711 (_ (_ (_ tptp.input @t806) @t695) @t691))) (lambda @t708 (_ (_ (_ tptp.match @t806) @t804) @t691))) (lambda @t708 (_ (_ (_ tptp.mismatch @t806) @t804) @t691))) @t704) @t702) @t698) @t694)) % 0.97/1.18 (define @t808 () (@list @t680 @t705)) % 0.97/1.18 (define @t809 () (lambda @t808 (_ @t807 @t41))) % 0.97/1.18 (define @t810 () (lambda @t717 (_ @t807 @t522))) % 0.97/1.18 (define @t811 () (_ @t810 @t41)) % 0.97/1.18 (define @t812 () (=> @t70 (_ @t37 (_ @t56 (_ @t55 (_ @t33 (_ (_ @t811 @t22) @t53))))))) % 0.97/1.18 (define @t813 () (=> @t73 @t812)) % 0.97/1.18 (define @t814 () (=> @t76 @t813)) % 0.97/1.18 (define @t815 () (@var "BOUND_VARIABLE_10015" tptp.name)) % 0.97/1.18 (define @t816 () (lambda (@list @t815) (_ (_ @t803 @t815) @t677))) % 0.97/1.18 (define @t817 () (@var "BOUND_VARIABLE_9996" tptp.name)) % 0.97/1.18 (define @t818 () (_ tptp.if_name (= @t677 @t817))) % 0.97/1.18 (define @t819 () (lambda (@list @t817 @t680) (_ (_ @t818 @t680) @t677))) % 0.97/1.18 (define @t820 () (@list @t680)) % 0.97/1.18 (define @t821 () (@var "BOUND_VARIABLE_9978" tptp.name)) % 0.97/1.18 (define @t822 () (lambda (@list @t821) (_ (_ @t805 @t821) @t519))) % 0.97/1.18 (define @t823 () (lambda (@list @t677 @t680) @t682)) % 0.97/1.18 (define @t824 () (_ @t683 @t519)) % 0.97/1.18 (define @t825 () (_ (_ (_ @t683 @t677) @t680) @t705)) % 0.97/1.18 (define @t826 () (_ (_ @t824 @t680) @t705)) % 0.97/1.18 (define @t827 () (@purify @t731)) % 0.97/1.18 (define @t828 () (@purify @t733)) % 0.97/1.18 (define @t829 () (@purify @t735)) % 0.97/1.18 (define @t830 () (@purify @t737)) % 0.97/1.18 (define @t831 () (= tptp.x @t677)) % 0.97/1.18 (define @t832 () (tptp.if_name @t831 tptp.y @t677)) % 0.97/1.18 (define @t833 () (= tptp.x @t519)) % 0.97/1.18 (define @t834 () (tptp.if_name @t833 tptp.y @t519)) % 0.97/1.18 (define @t835 () (lambda @t708 (tptp.mismatch @t834 @t832 @t691))) % 0.97/1.18 (define @t836 () (@purify @t835)) % 0.97/1.18 (define @t837 () (lambda @t708 (tptp.match @t834 @t832 @t691))) % 0.97/1.18 (define @t838 () (@purify @t837)) % 0.97/1.18 (define @t839 () (lambda @t711 (tptp.input @t834 @t695 @t691))) % 0.97/1.18 (define @t840 () (@purify @t839)) % 0.97/1.18 (define @t841 () (@purify @t749)) % 0.97/1.18 (define @t842 () (lambda @t708 (tptp.output @t834 @t832 @t691))) % 0.97/1.18 (define @t843 () (@purify @t842)) % 0.97/1.18 (define @t844 () (tptp.pi_rec_pi tptp.piNil @t842 @t749 @t839 @t837 @t835 @t737 @t735 @t733 @t731 tptp.r2)) % 0.97/1.18 (define @t845 () (tptp.par tptp.p tptp.q2)) % 0.97/1.18 (define @t846 () (tptp.par @t845 @t844)) % 0.97/1.18 (define @t847 () (tptp.res tptp.y @t846)) % 0.97/1.18 (define @t848 () (tptp.late_FreeR tptp.alpha @t847)) % 0.97/1.18 (define @t849 () (tptp.par tptp.p tptp.q)) % 0.97/1.18 (define @t850 () (tptp.par @t849 tptp.r)) % 0.97/1.18 (define @t851 () (tptp.late_transitions @t850 @t848)) % 0.97/1.18 (define @t852 () (tptp.fresh_name_pi tptp.y tptp.r)) % 0.97/1.18 (define @t853 () (not @t852)) % 0.97/1.18 (define @t854 () (tptp.late_InputS tptp.a)) % 0.97/1.18 (define @t855 () (tptp.late_BoundR @t854 tptp.x tptp.r2)) % 0.97/1.18 (define @t856 () (tptp.late_transitions tptp.r @t855)) % 0.97/1.18 (define @t857 () (not @t856)) % 0.97/1.18 (define @t858 () (tptp.late_BoundOutputS tptp.a)) % 0.97/1.18 (define @t859 () (tptp.late_BoundR @t858 tptp.y @t845)) % 0.97/1.18 (define @t860 () (tptp.late_transitions @t849 @t859)) % 0.97/1.18 (define @t861 () (not @t860)) % 0.97/1.18 (define @t862 () (or @t861 @t857 @t853 @t851)) % 0.97/1.18 (define @t863 () (forall @t78 (or @t767 @t763 @t759 (tptp.late_transitions @t756 (tptp.late_FreeR tptp.alpha @t754))))) % 0.97/1.18 (define @t864 () (tptp.late_transitions @t850 (tptp.late_FreeR tptp.alpha (tptp.res tptp.y (tptp.par @t845 (tptp.pi_rec_pi tptp.piNil @t843 @t841 @t840 @t838 @t836 @t830 @t829 @t828 @t827 tptp.r2)))))) % 0.97/1.18 (define @t865 () (or @t861 @t857 @t853 @t864)) % 0.97/1.18 (define @t866 () (@purify @t694)) % 0.97/1.18 (define @t867 () (= @t866 @t827)) % 0.97/1.18 (define @t868 () (@const 0 tptp.pi)) % 0.97/1.18 (define @t869 () (tptp.bang @t868)) % 0.97/1.18 (define @t870 () (@const 1 tptp.pi)) % 0.97/1.18 (define @t871 () (= (_ @t731 @t870 @t868) @t869)) % 0.97/1.18 (define @t872 () (_ @t827 @t870 @t868)) % 0.97/1.18 (define @t873 () (_ tptp.bang @t868)) % 0.97/1.18 (define @t874 () (= (_ @t694 @t870 @t868) @t873)) % 0.97/1.18 (define @t875 () (_ @t866 @t870 @t868)) % 0.97/1.18 (define @t876 () (= @t875 @t872)) % 0.97/1.18 (define @t877 () (not @t876)) % 0.97/1.18 (define @t878 () (or @t867 @t877)) % 0.97/1.18 (define @t879 () (@purify @t698)) % 0.97/1.18 (define @t880 () (= @t879 @t828)) % 0.97/1.18 (define @t881 () (@const 2 tptp.pi)) % 0.97/1.18 (define @t882 () (@const 3 tptp.name)) % 0.97/1.18 (define @t883 () (tptp.res @t882 @t881)) % 0.97/1.18 (define @t884 () (@const 4 tptp.pi)) % 0.97/1.18 (define @t885 () (= (_ @t733 @t882 @t884 @t881) @t883)) % 0.97/1.18 (define @t886 () (_ @t828 @t882 @t884 @t881)) % 0.97/1.18 (define @t887 () (_ (_ tptp.res @t882) @t881)) % 0.97/1.18 (define @t888 () (= (_ @t698 @t882 @t884 @t881) @t887)) % 0.97/1.18 (define @t889 () (_ @t879 @t882 @t884 @t881)) % 0.97/1.18 (define @t890 () (= @t889 @t886)) % 0.97/1.18 (define @t891 () (not @t890)) % 0.97/1.18 (define @t892 () (or @t880 @t891)) % 0.97/1.18 (define @t893 () (@purify @t702)) % 0.97/1.18 (define @t894 () (= @t893 @t829)) % 0.97/1.18 (define @t895 () (@const 5 tptp.pi)) % 0.97/1.18 (define @t896 () (@const 6 tptp.pi)) % 0.97/1.18 (define @t897 () (tptp.par @t896 @t895)) % 0.97/1.18 (define @t898 () (@const 7 tptp.pi)) % 0.97/1.18 (define @t899 () (@const 8 tptp.pi)) % 0.97/1.18 (define @t900 () (= (_ @t735 @t899 @t898 @t896 @t895) @t897)) % 0.97/1.18 (define @t901 () (_ @t829 @t899 @t898 @t896 @t895)) % 0.97/1.18 (define @t902 () (_ (_ tptp.par @t896) @t895)) % 0.97/1.18 (define @t903 () (= (_ @t702 @t899 @t898 @t896 @t895) @t902)) % 0.97/1.18 (define @t904 () (_ @t893 @t899 @t898 @t896 @t895)) % 0.97/1.18 (define @t905 () (= @t904 @t901)) % 0.97/1.18 (define @t906 () (not @t905)) % 0.97/1.18 (define @t907 () (or @t894 @t906)) % 0.97/1.18 (define @t908 () (@purify @t704)) % 0.97/1.18 (define @t909 () (= @t908 @t830)) % 0.97/1.18 (define @t910 () (@const 9 tptp.pi)) % 0.97/1.18 (define @t911 () (@const 10 tptp.pi)) % 0.97/1.18 (define @t912 () (tptp.sum @t911 @t910)) % 0.97/1.18 (define @t913 () (@const 11 tptp.pi)) % 0.97/1.18 (define @t914 () (@const 12 tptp.pi)) % 0.97/1.18 (define @t915 () (= (_ @t737 @t914 @t913 @t911 @t910) @t912)) % 0.97/1.18 (define @t916 () (_ @t830 @t914 @t913 @t911 @t910)) % 0.97/1.18 (define @t917 () (_ (_ tptp.sum @t911) @t910)) % 0.97/1.18 (define @t918 () (= (_ @t704 @t914 @t913 @t911 @t910) @t917)) % 0.97/1.18 (define @t919 () (_ @t908 @t914 @t913 @t911 @t910)) % 0.97/1.18 (define @t920 () (= @t919 @t916)) % 0.97/1.18 (define @t921 () (not @t920)) % 0.97/1.18 (define @t922 () (or @t909 @t921)) % 0.97/1.18 (define @t923 () (_ tptp.if_name @t831)) % 0.97/1.18 (define @t924 () (_ (_ @t923 tptp.y) @t677)) % 0.97/1.18 (define @t925 () (_ tptp.if_name @t833)) % 0.97/1.18 (define @t926 () (_ (_ @t925 tptp.y) @t519)) % 0.97/1.18 (define @t927 () (lambda @t708 (_ (_ (_ tptp.mismatch @t926) @t924) @t691))) % 0.97/1.18 (define @t928 () (@purify @t927)) % 0.97/1.18 (define @t929 () (= @t928 @t836)) % 0.97/1.18 (define @t930 () (@const 13 tptp.pi)) % 0.97/1.18 (define @t931 () (@const 14 tptp.name)) % 0.97/1.18 (define @t932 () (= tptp.x @t931)) % 0.97/1.18 (define @t933 () (@purify @t932)) % 0.97/1.18 (define @t934 () (tptp.if_name @t933 tptp.y @t931)) % 0.97/1.18 (define @t935 () (@const 15 tptp.name)) % 0.97/1.18 (define @t936 () (= tptp.x @t935)) % 0.97/1.18 (define @t937 () (@purify @t936)) % 0.97/1.18 (define @t938 () (tptp.if_name @t937 tptp.y @t935)) % 0.97/1.18 (define @t939 () (tptp.mismatch @t938 @t934 @t930)) % 0.97/1.18 (define @t940 () (tptp.if_name @t932 tptp.y @t931)) % 0.97/1.18 (define @t941 () (tptp.if_name @t936 tptp.y @t935)) % 0.97/1.18 (define @t942 () (tptp.mismatch @t941 @t940 @t930)) % 0.97/1.18 (define @t943 () (@const 16 tptp.pi)) % 0.97/1.18 (define @t944 () (= (_ @t835 @t935 @t931 @t943 @t930) @t942)) % 0.97/1.18 (define @t945 () (_ @t836 @t935 @t931 @t943 @t930)) % 0.97/1.18 (define @t946 () (_ (_ (_ tptp.if_name @t933) tptp.y) @t931)) % 0.97/1.18 (define @t947 () (_ (_ (_ tptp.if_name @t937) tptp.y) @t935)) % 0.97/1.18 (define @t948 () (_ (_ (_ tptp.mismatch (_ (_ (_ tptp.if_name @t936) tptp.y) @t935)) (_ (_ (_ tptp.if_name @t932) tptp.y) @t931)) @t930)) % 0.97/1.18 (define @t949 () (= (_ @t927 @t935 @t931 @t943 @t930) @t948)) % 0.97/1.18 (define @t950 () (_ @t928 @t935 @t931 @t943 @t930)) % 0.97/1.18 (define @t951 () (= @t950 @t945)) % 0.97/1.18 (define @t952 () (not @t951)) % 0.97/1.18 (define @t953 () (or @t929 @t952)) % 0.97/1.18 (define @t954 () (lambda @t708 (_ (_ (_ tptp.match @t926) @t924) @t691))) % 0.97/1.18 (define @t955 () (@purify @t954)) % 0.97/1.18 (define @t956 () (= @t955 @t838)) % 0.97/1.18 (define @t957 () (@const 17 tptp.pi)) % 0.97/1.18 (define @t958 () (@const 18 tptp.name)) % 0.97/1.18 (define @t959 () (= tptp.x @t958)) % 0.97/1.18 (define @t960 () (@purify @t959)) % 0.97/1.18 (define @t961 () (tptp.if_name @t960 tptp.y @t958)) % 0.97/1.18 (define @t962 () (@const 19 tptp.name)) % 0.97/1.18 (define @t963 () (= tptp.x @t962)) % 0.97/1.18 (define @t964 () (@purify @t963)) % 0.97/1.18 (define @t965 () (tptp.if_name @t964 tptp.y @t962)) % 0.97/1.18 (define @t966 () (tptp.match @t965 @t961 @t957)) % 0.97/1.18 (define @t967 () (tptp.if_name @t959 tptp.y @t958)) % 0.97/1.18 (define @t968 () (tptp.if_name @t963 tptp.y @t962)) % 0.97/1.18 (define @t969 () (tptp.match @t968 @t967 @t957)) % 0.97/1.18 (define @t970 () (@const 20 tptp.pi)) % 0.97/1.18 (define @t971 () (= (_ @t837 @t962 @t958 @t970 @t957) @t969)) % 0.97/1.18 (define @t972 () (_ @t838 @t962 @t958 @t970 @t957)) % 0.97/1.18 (define @t973 () (_ (_ (_ tptp.if_name @t960) tptp.y) @t958)) % 0.97/1.18 (define @t974 () (_ (_ (_ tptp.if_name @t964) tptp.y) @t962)) % 0.97/1.18 (define @t975 () (_ (_ (_ tptp.match (_ (_ (_ tptp.if_name @t963) tptp.y) @t962)) (_ (_ (_ tptp.if_name @t959) tptp.y) @t958)) @t957)) % 0.97/1.18 (define @t976 () (= (_ @t954 @t962 @t958 @t970 @t957) @t975)) % 0.97/1.18 (define @t977 () (_ @t955 @t962 @t958 @t970 @t957)) % 0.97/1.18 (define @t978 () (= @t977 @t972)) % 0.97/1.18 (define @t979 () (not @t978)) % 0.97/1.18 (define @t980 () (or @t956 @t979)) % 0.97/1.18 (define @t981 () (lambda @t711 (_ (_ (_ tptp.input @t926) @t695) @t691))) % 0.97/1.18 (define @t982 () (@purify @t981)) % 0.97/1.18 (define @t983 () (= @t982 @t840)) % 0.97/1.18 (define @t984 () (@const 21 tptp.pi)) % 0.97/1.18 (define @t985 () (@const 22 tptp.name)) % 0.97/1.18 (define @t986 () (@const 23 tptp.name)) % 0.97/1.18 (define @t987 () (= tptp.x @t986)) % 0.97/1.18 (define @t988 () (@purify @t987)) % 0.97/1.18 (define @t989 () (tptp.if_name @t988 tptp.y @t986)) % 0.97/1.18 (define @t990 () (tptp.input @t989 @t985 @t984)) % 0.97/1.18 (define @t991 () (tptp.if_name @t987 tptp.y @t986)) % 0.97/1.18 (define @t992 () (tptp.input @t991 @t985 @t984)) % 0.97/1.18 (define @t993 () (@const 24 tptp.pi)) % 0.97/1.18 (define @t994 () (= (_ @t839 @t986 @t985 @t993 @t984) @t992)) % 0.97/1.18 (define @t995 () (_ @t840 @t986 @t985 @t993 @t984)) % 0.97/1.18 (define @t996 () (_ (_ (_ tptp.if_name @t988) tptp.y) @t986)) % 0.97/1.18 (define @t997 () (_ (_ (_ tptp.input (_ (_ (_ tptp.if_name @t987) tptp.y) @t986)) @t985) @t984)) % 0.97/1.18 (define @t998 () (= (_ @t981 @t986 @t985 @t993 @t984) @t997)) % 0.97/1.18 (define @t999 () (_ @t982 @t986 @t985 @t993 @t984)) % 0.97/1.18 (define @t1000 () (= @t999 @t995)) % 0.97/1.18 (define @t1001 () (not @t1000)) % 0.97/1.18 (define @t1002 () (or @t983 @t1001)) % 0.97/1.18 (define @t1003 () (@purify @t714)) % 0.97/1.18 (define @t1004 () (= @t1003 @t841)) % 0.97/1.18 (define @t1005 () (@const 25 tptp.pi)) % 0.97/1.18 (define @t1006 () (tptp.tau @t1005)) % 0.97/1.18 (define @t1007 () (@const 26 tptp.pi)) % 0.97/1.18 (define @t1008 () (= (_ @t749 @t1007 @t1005) @t1006)) % 0.97/1.18 (define @t1009 () (_ @t841 @t1007 @t1005)) % 0.97/1.18 (define @t1010 () (_ tptp.tau @t1005)) % 0.97/1.18 (define @t1011 () (= (_ @t714 @t1007 @t1005) @t1010)) % 0.97/1.18 (define @t1012 () (_ @t1003 @t1007 @t1005)) % 0.97/1.18 (define @t1013 () (= @t1012 @t1009)) % 0.97/1.18 (define @t1014 () (not @t1013)) % 0.97/1.18 (define @t1015 () (or @t1004 @t1014)) % 0.97/1.18 (define @t1016 () (lambda @t708 (_ (_ (_ tptp.output @t926) @t924) @t691))) % 0.97/1.18 (define @t1017 () (@purify @t1016)) % 0.97/1.18 (define @t1018 () (= @t1017 @t843)) % 0.97/1.18 (define @t1019 () (@const 27 tptp.pi)) % 0.97/1.18 (define @t1020 () (@const 28 tptp.name)) % 0.97/1.18 (define @t1021 () (= tptp.x @t1020)) % 0.97/1.18 (define @t1022 () (@purify @t1021)) % 0.97/1.18 (define @t1023 () (tptp.if_name @t1022 tptp.y @t1020)) % 0.97/1.18 (define @t1024 () (@const 29 tptp.name)) % 0.97/1.18 (define @t1025 () (= tptp.x @t1024)) % 0.97/1.18 (define @t1026 () (@purify @t1025)) % 0.97/1.18 (define @t1027 () (tptp.if_name @t1026 tptp.y @t1024)) % 0.97/1.18 (define @t1028 () (tptp.output @t1027 @t1023 @t1019)) % 0.97/1.18 (define @t1029 () (tptp.if_name @t1021 tptp.y @t1020)) % 0.97/1.18 (define @t1030 () (tptp.if_name @t1025 tptp.y @t1024)) % 0.97/1.18 (define @t1031 () (tptp.output @t1030 @t1029 @t1019)) % 0.97/1.18 (define @t1032 () (@const 30 tptp.pi)) % 0.97/1.18 (define @t1033 () (= (_ @t842 @t1024 @t1020 @t1032 @t1019) @t1031)) % 0.97/1.18 (define @t1034 () (_ @t843 @t1024 @t1020 @t1032 @t1019)) % 0.97/1.18 (define @t1035 () (_ (_ (_ tptp.if_name @t1022) tptp.y) @t1020)) % 0.97/1.18 (define @t1036 () (_ (_ (_ tptp.if_name @t1026) tptp.y) @t1024)) % 0.97/1.18 (define @t1037 () (_ (_ (_ tptp.output (_ (_ (_ tptp.if_name @t1025) tptp.y) @t1024)) (_ (_ (_ tptp.if_name @t1021) tptp.y) @t1020)) @t1019)) % 0.97/1.18 (define @t1038 () (= (_ @t1016 @t1024 @t1020 @t1032 @t1019) @t1037)) % 0.97/1.18 (define @t1039 () (_ @t1017 @t1024 @t1020 @t1032 @t1019)) % 0.97/1.18 (define @t1040 () (= @t1039 @t1034)) % 0.97/1.18 (define @t1041 () (not @t1040)) % 0.97/1.18 (define @t1042 () (or @t1018 @t1041)) % 0.97/1.18 (define @t1043 () (tptp.pi_rec_pi tptp.piNil @t1017 @t1003 @t982 @t955 @t928 @t908 @t893 @t879 @t866 tptp.r2)) % 0.97/1.18 (define @t1044 () (tptp.par @t845 @t1043)) % 0.97/1.18 (define @t1045 () (tptp.res tptp.y @t1044)) % 0.97/1.18 (define @t1046 () (tptp.late_FreeR tptp.alpha @t1045)) % 0.97/1.18 (define @t1047 () (tptp.late_transitions @t850 @t1046)) % 0.97/1.18 (define @t1048 () (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t1017) @t1003) @t982) @t955) @t928) @t908) @t893) @t879) @t866) tptp.r2)) % 0.97/1.18 (define @t1049 () (_ @t672 @t1048)) % 0.97/1.18 (define @t1050 () (_ @t673 @t1049)) % 0.97/1.18 (define @t1051 () (_ @t15 @t1050)) % 0.97/1.18 (define @t1052 () (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t1016) @t714) @t981) @t954) @t927) @t704) @t702) @t698) @t694) tptp.r2)) % 0.97/1.18 (define @t1053 () (_ @t673 (_ @t672 @t1052))) % 0.97/1.18 (define @t1054 () (_ (_ @t923 @t705) @t677)) % 0.97/1.18 (define @t1055 () (_ (_ @t925 @t705) @t519)) % 0.97/1.18 (define @t1056 () (_ (_ (_ tptp.if_name (= @t677 tptp.x)) @t705) @t677)) % 0.97/1.18 (define @t1057 () (_ (_ (_ tptp.if_name (= @t519 tptp.x)) @t705) @t519)) % 0.97/1.18 (define @t1058 () (lambda @t708 (_ (_ (_ tptp.mismatch @t1057) @t1056) @t691))) % 0.97/1.18 (define @t1059 () (lambda @t708 (_ (_ (_ tptp.match @t1057) @t1056) @t691))) % 0.97/1.18 (define @t1060 () (lambda @t711 (_ (_ (_ tptp.input @t1057) @t695) @t691))) % 0.97/1.18 (define @t1061 () (lambda @t708 (_ (_ (_ tptp.output @t1057) @t1056) @t691))) % 0.97/1.18 (define @t1062 () (lambda @t795 (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 @t1061) @t714) @t1060) @t1059) @t1058) @t704) @t702) @t698) @t694) tptp.r2))) % 0.97/1.18 (define @t1063 () (lambda @t808 (_ @t807 tptp.r2))) % 0.97/1.18 (define @t1064 () (_ @t810 tptp.r2)) % 0.97/1.18 (assume @p1 (= tptp.alpha tptp.late_TauR)) % 0.97/1.18 (assume @p2 (not (= tptp.y tptp.a))) % 0.97/1.18 (assume @p3 (not (= tptp.x tptp.a))) % 0.97/1.18 (assume @p4 @t2) % 0.97/1.18 (assume @p5 (not (= tptp.x tptp.y))) % 0.97/1.18 (assume @p6 (_ @t1 tptp.q)) % 0.97/1.18 (assume @p7 (_ @t3 tptp.q)) % 0.97/1.18 (assume @p8 (_ @t1 tptp.p)) % 0.97/1.18 (assume @p9 (_ @t3 tptp.p)) % 0.97/1.18 (assume @p10 (_ @t3 tptp.r)) % 0.97/1.18 (assume @p11 (_ @t3 tptp.q2)) % 0.97/1.18 (assume @p12 (_ @t1 tptp.r2)) % 0.97/1.18 (assume @p13 @t7) % 0.97/1.18 (assume @p14 @t14) % 0.97/1.18 (assume @p15 (_ (_ tptp.late_transitions tptp.q) (_ @t11 tptp.q2))) % 0.97/1.18 (assume @p16 (_ (_ tptp.late_transitions @t16) (_ @t15 tptp.qr))) % 0.97/1.18 (assume @p17 (_ (_ tptp.late_transitions (_ @t8 @t16)) (_ @t15 tptp.pqr))) % 0.97/1.18 (assume @p18 (forall (@list @t22 @t18 @t17 @t19) (=> @t26 (=> @t25 (= (_ (_ (_ tptp.subs @t24) @t18) @t17) (_ @t23 @t21)))))) % 0.97/1.18 (assume @p19 (forall @t31 (= (_ (_ (_ tptp.subs @t30) @t18) @t17) (_ (_ tptp.par @t21) @t28)))) % 0.97/1.18 (assume @p20 (forall (@list @t19 @t35 @t32 @t27) (=> @t40 (_ @t37 (_ @t36 @t34))))) % 0.97/1.18 (assume @p21 (forall (@list @t27 @t35 @t41 @t19) (=> (_ @t43 (_ @t36 @t41)) (_ @t37 (_ @t36 @t42))))) % 0.97/1.18 (assume @p22 (forall (@list @t19 @t44) (= (_ @t45 @t44) @t19))) % 0.97/1.18 (assume @p23 (forall @t52 (not (= @t51 @t48)))) % 0.97/1.18 (assume @p24 (forall @t67 (=> @t66 (=> @t63 (=> @t59 @t57))))) % 0.97/1.18 (assume @p25 @t79) % 0.97/1.18 (assume @p26 (forall @t67 (=> @t66 (=> @t63 (=> @t88 (=> @t87 (=> @t59 (=> @t70 (=> @t86 (=> @t85 (=> @t83 (=> @t82 (=> @t81 @t57))))))))))))) % 0.97/1.18 (assume @p27 (forall @t78 (=> @t76 (=> @t73 (=> @t88 (=> @t87 (=> @t59 (=> @t70 (=> @t86 (=> @t89 (=> @t83 (=> (_ @t58 @t41) (=> @t81 @t69))))))))))))) % 0.97/1.18 (assume @p28 (forall @t97 (=> @t96 (= @t94 @t93)))) % 0.97/1.18 (assume @p29 (forall @t97 (=> @t96 (= (_ (_ (_ tptp.subs @t94) @t44) @t90) @t93)))) % 0.97/1.18 (assume @p30 (forall @t102 (= (= @t101 (_ tptp.late_BoundOutputS @t98)) @t100))) % 0.97/1.18 (assume @p31 (forall @t109 (= (_ @t104 @t108) @t107))) % 0.97/1.18 (assume @p32 (forall (@list @t90 @t19 @t44 @t18) (=> @t96 (= (_ (_ (_ tptp.subs @t91) @t90) @t18) (_ @t45 @t18))))) % 0.97/1.18 (assume @p33 (forall (@list @t110 @t47) (not (= (_ tptp.late_InputS @t110) (_ tptp.late_BoundOutputS @t47))))) % 0.97/1.18 (assume @p34 (forall @t116 @t115)) % 0.97/1.18 (assume @p35 (forall @t120 @t119)) % 0.97/1.18 (assume @p36 (forall @t123 @t122)) % 0.97/1.18 (assume @p37 (forall @t127 @t126)) % 0.97/1.18 (assume @p38 (forall (@list @t129 @t128) (=> (forall @t131 (_ @t129 (_ tptp.late_InputS @t130))) (=> (forall @t131 (_ @t129 (_ tptp.late_BoundOutputS @t130))) (_ @t129 @t128))))) % 0.97/1.18 (assume @p39 (forall (@list @t134 @t133 @t132) (=> (forall (@list @t140 @t130 @t135 @t138) (=> @t144 (=> @t143 (_ @t139 @t141)))) (=> (forall (@list @t136 @t135 @t138) (_ @t139 @t137)) (_ (_ @t134 @t133) @t132))))) % 0.97/1.18 (assume @p40 (forall (@list @t146 @t145 @t132) (=> (forall (@list @t140 @t130 @t135 @t147) (=> @t149 (=> @t143 (_ @t148 @t141)))) (=> (forall (@list @t136 @t135 @t147) (_ @t148 @t137)) (_ (_ @t146 @t145) @t132))))) % 0.97/1.18 (assume @p41 (forall (@list @t151 @t150 @t132) (=> (forall (@list @t140 @t130 @t135 @t152) (=> @t154 (=> @t143 (_ @t153 @t141)))) (=> (forall (@list @t136 @t135 @t152) (_ @t153 @t137)) (_ (_ @t151 @t150) @t132))))) % 0.97/1.18 (assume @p42 (forall (@list @t156 @t155 @t132) (=> (forall (@list @t140 @t130 @t135 @t157) (=> @t159 (=> @t143 (_ @t158 @t141)))) (=> (forall (@list @t136 @t135 @t157) (_ @t158 @t137)) (_ (_ @t156 @t155) @t132))))) % 0.97/1.18 (assume @p43 (forall @t166 (=> @t165 (=> @t59 (=> @t160 @t82))))) % 0.97/1.18 (assume @p44 (forall (@list @t44 @t19) (_ @t104 @t94))) % 0.97/1.18 (assume @p45 (forall (@list @t167 @t132) (=> (forall (@list @t140 @t130 @t135) (_ @t167 @t141)) (=> (forall (@list @t136 @t135) (_ @t167 @t137)) (_ @t167 @t132))))) % 0.97/1.18 (assume @p46 (forall (@list @t128 @t110 @t169 @t168 @t46) (not (= @t170 (_ (_ tptp.late_FreeR @t168) @t46))))) % 0.97/1.18 (assume @p47 (forall @t173 (=> @t172 (_ @t104 @t91)))) % 0.97/1.18 (assume @p48 (forall (@list @t44 @t19 @t18 @t90) (=> @t176 (=> @t175 (_ @t104 @t174))))) % 0.97/1.18 (assume @p49 (forall (@list @t44 @t177) (= (_ (_ tptp.member_name @t44) @t178) (_ @t177 @t44)))) % 0.97/1.18 (assume @p50 (forall (@list @t179) (= (_ tptp.collect_name (lambda @t181 (_ (_ tptp.member_name @t180) @t179))) @t179))) % 0.97/1.18 (assume @p51 (forall (@list @t177 @t182) (=> (forall @t184 (= (_ @t177 @t183) (_ @t182 @t183))) (= @t178 (_ tptp.collect_name @t182))))) % 0.97/1.18 (assume @p52 (forall (@list @t44 @t19 @t90) (=> @t176 (= @t91 @t19)))) % 0.97/1.18 (assume @p53 (forall (@list @t19 @t27 @t161 @t22 @t185 @t186) (=> (_ @t37 (_ @t163 @t185)) (=> @t88 (=> @t87 (=> (forall @t190 (=> (_ @t39 (_ @t163 @t188)) (_ @t186 (_ @t189 @t27)))) (=> (forall (@list @t187) (=> (_ @t43 (_ @t163 @t187)) (_ @t186 (_ @t29 @t187)))) (_ @t186 @t185)))))))) % 0.97/1.18 (assume @p54 (forall @t193 (=> @t192 (=> @t88 @t191)))) % 0.97/1.18 (assume @p55 (forall @t195 (=> @t165 (=> @t87 @t194)))) % 0.97/1.18 (assume @p56 (forall @t200 (= (= @t108 (_ (_ tptp.par @t198) @t196)) @t199))) % 0.97/1.18 (assume @p57 (forall @t201 (=> @t40 (=> @t59 @t82)))) % 0.97/1.18 (assume @p58 (forall (@list @t203 @t103 @t202 @t196) (= (= @t204 (_ (_ tptp.late_FreeR @t202) @t196)) (and (= @t203 @t202) @t197)))) % 0.97/1.18 (assume @p59 (forall @t211 (=> @t210 (=> @t73 (=> @t88 (=> @t87 (=> @t86 (=> @t206 (=> @t89 @t205))))))))) % 0.97/1.18 (assume @p60 (forall @t214 (=> @t66 (=> @t213 (=> @t88 (=> @t87 (=> @t86 (=> @t206 (=> @t85 @t212))))))))) % 0.97/1.18 (assume @p61 (forall @t102 (= (= @t215 (_ tptp.late_InputS @t98)) @t100))) % 0.97/1.18 (assume @p62 (forall (@list @t217 @t216) (= (= @t219 (_ tptp.late_BoundOutputS @t216)) @t218))) % 0.97/1.18 (assume @p63 (forall @t211 (=> @t210 (=> @t73 @t205)))) % 0.97/1.18 (assume @p64 (forall @t214 (=> @t66 (=> @t213 @t212)))) % 0.97/1.18 (assume @p65 (forall (@list @t99 @t217) (not (= @t215 @t219)))) % 0.97/1.18 (assume @p66 (forall (@list @t221) (=> (forall (@list @t222) (not (= @t221 (_ tptp.late_InputS @t222)))) (not (forall (@list @t220) (not (= @t221 (_ tptp.late_BoundOutputS @t220)))))))) % 0.97/1.18 (assume @p67 (forall @t223 (=> @t210 (=> @t172 (_ (_ tptp.late_transitions (_ @t92 @t19)) (_ (_ @t61 @t90) @t32)))))) % 0.97/1.18 (assume @p68 (forall (@list @t44 @t217 @t99) (= (_ @t228 @t227) (and @t226 @t225)))) % 0.97/1.18 (assume @p69 (forall (@list @t217 @t99 @t216 @t98) (= (= @t227 (_ (_ tptp.late_OutputR @t216) @t98)) (and @t218 @t100)))) % 0.97/1.18 (assume @p70 (forall (@list @t232 @t230 @t231 @t229) (= (= @t233 (_ (_ tptp.late_OutputR @t231) @t229)) (and (= @t232 @t231) (= @t230 @t229))))) % 0.97/1.18 (assume @p71 (forall @t234 (_ @t228 tptp.late_TauR))) % 0.97/1.18 (assume @p72 (forall (@list @t44 @t203 @t103) (= (_ @t235 @t204) (and (_ @t228 @t203) @t105)))) % 0.97/1.18 (assume @p73 (forall @t237 (= (_ @t236 @t101) @t225))) % 0.97/1.18 (assume @p74 (forall @t237 (= (_ @t236 @t215) @t225))) % 0.97/1.18 (assume @p75 (forall (@list @t232 @t230) (not (= @t233 tptp.late_TauR)))) % 0.97/1.18 (assume @p76 (forall (@list @t238) (=> (forall (@list @t240 @t239) (not (= @t238 (_ (_ tptp.late_OutputR @t240) @t239)))) (= @t238 tptp.late_TauR)))) % 0.97/1.18 (assume @p77 (forall (@list @t242 @t241) (not (= (_ (_ tptp.late_OutputR @t242) @t241) tptp.late_TauR)))) % 0.97/1.18 (assume @p78 (forall (@list @t244 @t243) (=> (forall (@list @t246 @t245) (_ @t244 (_ (_ tptp.late_OutputR @t246) @t245))) (=> (_ @t244 tptp.late_TauR) (_ @t244 @t243))))) % 0.97/1.18 (assume @p79 (forall (@list @t22 @t19 @t256) (=> (_ @t277 @t256) (=> (forall @t276 (=> (= @t24 @t275) (forall @t190 (=> (= @t256 @t274) @t273)))) (=> (forall @t268 (=> @t258 (=> (= @t256 @t267) @t266))) (not (forall @t259 (=> @t258 (=> (= @t256 @t255) @t252))))))))) % 0.97/1.18 (assume @p80 (forall (@list @t19 @t256 @t22) (=> @t278 (=> @t88 (_ (_ tptp.fresh_81631222sidual @t22) @t256))))) % 0.97/1.18 (assume @p81 (forall (@list @t22 @t19 @t35 @t279 @t280) (=> (_ @t277 (_ @t36 @t279)) (=> (forall @t190 (=> (_ @t39 (_ @t36 @t188)) (=> (_ (_ tptp.fresh_1641682979reeRes @t22) @t35) (_ @t280 (_ @t23 @t188))))) (_ @t280 @t279))))) % 0.97/1.18 (assume @p82 (forall (@list @t22 @t19 @t35 @t32) (=> (_ @t277 @t38) (not (forall @t259 (=> @t258 (=> (= @t38 @t255) @t252))))))) % 0.97/1.18 (assume @p83 (forall @t201 (=> @t40 (=> @t283 (_ @t282 (_ @t36 @t281)))))) % 0.97/1.18 (assume @p84 (forall @t166 (=> @t165 (=> @t285 (=> @t160 @t284))))) % 0.97/1.18 (assume @p85 (forall @t201 (=> @t40 (=> @t59 @t283)))) % 0.97/1.18 (assume @p86 (forall @t166 (=> @t165 (=> @t59 @t285)))) % 0.97/1.18 (assume @p87 (forall (@list @t288 @t19 @t161 @t286 @t32) (=> (_ (_ tptp.late_transitions @t289) @t287) (=> (forall @t276 (=> (= @t289 @t275) (forall @t190 (=> (= @t287 @t274) @t273)))) (not (forall @t268 (=> (= @t289 @t257) (=> (= @t287 @t267) @t266)))))))) % 0.97/1.18 (assume @p88 (forall (@list @t19 @t27 @t293 @t53 @t32) (=> (_ @t37 @t294) (=> (forall (@list @t250 @t260 @t183 @t188 @t290) (=> @t295 (=> (= @t294 (_ @t264 (_ @t189 @t290))) (=> @t265 @t291)))) (not (forall (@list @t290 @t260 @t183 @t187 @t250) (=> @t295 (=> (= @t294 (_ @t264 (_ @t292 @t187))) (=> (_ (_ tptp.late_transitions @t290) (_ @t264 @t187)) @t291))))))))) % 0.97/1.18 (assume @p89 (forall @t195 (=> @t165 (=> @t88 (=> @t87 (=> @t296 @t194)))))) % 0.97/1.18 (assume @p90 (forall @t193 (=> @t192 (=> @t88 (=> @t87 (=> @t296 @t191)))))) % 0.97/1.18 (assume @p91 (forall @t166 (=> @t165 (=> @t285 (=> @t160 (=> @t88 (=> @t296 @t284))))))) % 0.97/1.18 (assume @p92 (forall (@list @t22 @t19 @t44 @t90 @t32) (not (_ @t298 @t209)))) % 0.97/1.18 (assume @p93 (forall (@list @t22 @t44 @t90 @t19 @t32) (not (_ @t302 @t299)))) % 0.97/1.18 (assume @p94 (forall (@list @t22 @t44 @t90 @t19 @t18 @t53 @t32) (not (_ @t302 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t18)) @t53) @t32))))) % 0.97/1.18 (assume @p95 (forall @t304 (= (_ @t104 @t303) @t105))) % 0.97/1.18 (assume @p96 (forall @t305 (= (_ (_ (_ tptp.subs @t297) @t18) @t17) (_ tptp.tau @t21)))) % 0.97/1.18 (assume @p97 (forall @t310 (= (_ @t104 @t309) @t308))) % 0.97/1.18 (assume @p98 (forall @t313 (not (= @t312 @t311)))) % 0.97/1.18 (assume @p99 (forall @t317 (= (= @t309 (_ (_ (_ tptp.output @t314) @t216) @t196)) @t316))) % 0.97/1.18 (assume @p100 (forall @t318 (= (= @t303 (_ tptp.tau @t196)) @t197))) % 0.97/1.18 (assume @p101 (forall @t322 (not (= @t312 @t321)))) % 0.97/1.18 (assume @p102 (forall @t323 (not (= @t312 @t48)))) % 0.97/1.18 (assume @p103 (forall @t325 (not (= @t324 @t321)))) % 0.97/1.18 (assume @p104 (forall (@list @t169 @t47 @t46) (not (= @t324 @t48)))) % 0.97/1.18 (assume @p105 (forall (@list @t22 @t90 @t19 @t256) (not (_ (_ tptp.late_transitions (_ @t23 (_ (_ (_ tptp.output @t22) @t90) @t19))) @t256)))) % 0.97/1.18 (assume @p106 (forall (@list @t44 @t90 @t19 @t326 @t22 @t32) (not (_ @t327 (_ (_ (_ tptp.late_BoundR @t326) @t22) @t32))))) % 0.97/1.18 (assume @p107 (forall (@list @t44 @t90 @t19 @t35 @t32) (=> @t329 (not (or (_ @t228 @t35) (_ @t328 @t35)))))) % 0.97/1.18 (assume @p108 (forall (@list @t19 @t161 @t22 @t32) (not (_ @t330 @t164)))) % 0.97/1.18 (assume @p109 (forall (@list @t22 @t19 @t161 @t53 @t32) (not (_ @t298 (_ (_ @t162 @t53) @t32))))) % 0.97/1.18 (assume @p110 (forall @t173 (_ @t327 (_ @t208 @t19)))) % 0.97/1.18 (assume @p111 (forall (@list @t44 @t90 @t19 @t18 @t17 @t32) (=> (_ @t327 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t18) @t17)) @t32)) (not (or @t175 (not (= @t90 @t17))))))) % 0.97/1.18 (assume @p112 (forall @t334 (=> (_ @t327 @t256) (not (forall (@list @t270 @t269 @t250) (=> @t333 (not (= @t256 (_ @t272 @t250))))))))) % 0.97/1.18 (assume @p113 (forall (@list @t44 @t90 @t19 @t35 @t32 @t335) (=> @t329 (=> (=> (= @t35 @t207) (=> @t337 (_ (_ @t335 @t207) @t19))) @t336)))) % 0.97/1.18 (assume @p114 (forall (@list @t44 @t90 @t19 @t32) (not (_ @t327 @t299)))) % 0.97/1.18 (assume @p115 (forall @t223 (not (_ @t330 @t209)))) % 0.97/1.18 (assume @p116 (forall @t338 (_ @t330 (_ @t56 @t19)))) % 0.97/1.18 (assume @p117 (forall @t340 (=> (_ @t330 @t256) (not (forall @t339 (=> (= @t297 (_ tptp.tau @t250)) (not (= @t256 (_ @t56 @t250))))))))) % 0.97/1.18 (assume @p118 (forall (@list @t19 @t35 @t32 @t335) (=> (_ @t330 @t38) (=> (=> (= @t35 tptp.late_TauR) (=> @t337 (_ (_ @t335 tptp.late_TauR) @t19))) @t336)))) % 0.97/1.18 (assume @p119 (forall (@list @t22 @t44 @t19 @t90 @t53 @t32) (not (_ (_ tptp.late_transitions (_ @t23 (_ (_ @t300 @t22) @t19))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t90) @t53)) @t32))))) % 0.97/1.18 (assume @p120 (forall (@list @t22 @t44 @t53 @t19 @t90 @t150 @t32) (not (_ @t343 (_ (_ @t341 @t150) @t32))))) % 0.97/1.18 (assume @p121 (forall (@list @t44 @t347 @t99 @t106) (= (_ @t235 @t348) (and (_ @t236 @t347) @t346)))) % 0.97/1.18 (assume @p122 (forall @t352 (= (_ (_ (_ tptp.subs @t301) @t18) @t17) (_ (_ (_ tptp.output @t351) @t349) @t21)))) % 0.97/1.18 (assume @p123 (forall (@list @t44 @t22 @t19 @t293 @t53 @t32) (=> (_ @t354 @t294) (not (_ @t236 @t293))))) % 0.97/1.18 (assume @p124 (forall (@list @t22 @t44 @t19) (=> @t86 @t355))) % 0.97/1.18 (assume @p125 (forall (@list @t22 @t90 @t18 @t44 @t19) (=> @t206 (=> @t26 (= (_ (_ @t356 @t90) @t18) (_ (_ (_ tptp.input (_ (_ @t350 @t90) @t18)) @t22) @t174)))))) % 0.97/1.18 (assume @p126 (forall (@list @t22 @t44 @t18 @t17 @t19) (=> @t86 (=> @t26 (=> @t25 (= (_ (_ @t356 @t18) @t17) (_ (_ (_ tptp.input @t351) @t22) @t21))))))) % 0.97/1.18 (assume @p127 (forall (@list @t44 @t99 @t106) (= (_ @t104 @t357) @t346))) % 0.97/1.18 (assume @p128 (forall (@list @t44 @t306 @t99 @t106) (= (_ @t104 @t358) (and @t307 @t346)))) % 0.97/1.18 (assume @p129 (forall (@list @t306 @t99 @t106 @t314 @t98 @t198) (= (= @t358 (_ (_ (_ tptp.input @t314) @t98) @t198)) (and @t315 @t359)))) % 0.97/1.18 (assume @p130 (forall (@list @t99 @t106 @t98 @t198) (= (= @t357 (_ (_ tptp.res @t98) @t198)) @t359))) % 0.97/1.18 (assume @p131 (forall (@list @t347 @t99 @t106 @t360 @t98 @t198) (= (= @t348 (_ (_ (_ tptp.late_BoundR @t360) @t98) @t198)) (and (= @t347 @t360) @t359)))) % 0.97/1.18 (assume @p132 (forall (@list @t90 @t44 @t111) @t365)) % 0.97/1.18 (assume @p133 (forall (@list @t90 @t44 @t117) @t369)) % 0.97/1.18 (assume @p134 (forall (@list @t90 @t44 @t22) @t373)) % 0.97/1.18 (assume @p135 (forall (@list @t90 @t44 @t124) @t377)) % 0.97/1.18 (assume @p136 (forall @t322 (not (= @t378 @t321)))) % 0.97/1.18 (assume @p137 (forall @t323 (not (= @t378 @t48)))) % 0.97/1.18 (assume @p138 (forall @t382 (not (= @t312 @t381)))) % 0.97/1.18 (assume @p139 (forall @t383 (not (= @t324 @t381)))) % 0.97/1.18 (assume @p140 (forall @t334 (=> (_ (_ tptp.late_transitions (_ (_ @t342 @t90) @t19)) @t256) (not (forall (@list @t183 @t270 @t250) (=> (and @t332 (= (_ (_ tptp.abs_fun_name_pi @t90) @t19) (_ (_ tptp.abs_fun_name_pi @t183) @t250))) (=> (= @t256 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t270)) @t183) @t250)) (= @t183 @t270)))))))) % 0.97/1.18 (assume @p141 (forall (@list @t22 @t53 @t19 @t256) (not (_ (_ tptp.late_transitions (_ @t23 (_ (_ (_ tptp.input @t22) @t53) @t19))) @t256)))) % 0.97/1.18 (assume @p142 (forall (@list @t44 @t22 @t19 @t35 @t32) (not (_ @t354 @t38)))) % 0.97/1.18 (assume @p143 (forall (@list @t22 @t44 @t53 @t19 @t35 @t32) (not (_ @t343 @t38)))) % 0.97/1.18 (assume @p144 (forall (@list @t44 @t22 @t19 @t90 @t53 @t32) (not (_ @t354 (_ (_ @t341 @t53) @t32))))) % 0.97/1.18 (assume @p145 (forall (@list @t44 @t22 @t19) @t355)) % 0.97/1.18 (assume @p146 (forall @t352 (= (_ (_ (_ tptp.subs @t384) @t18) @t17) (_ (_ (_ tptp.match @t351) @t349) @t21)))) % 0.97/1.18 (assume @p147 (forall @t352 (= (_ (_ (_ tptp.subs @t386) @t18) @t17) (_ (_ (_ tptp.mismatch @t351) @t349) @t21)))) % 0.97/1.18 (assume @p148 (forall @t310 (= (_ @t104 @t387) @t308))) % 0.97/1.18 (assume @p149 (forall @t310 (= (_ @t104 @t388) @t308))) % 0.97/1.18 (assume @p150 (forall @t382 (not (= @t390 @t389)))) % 0.97/1.18 (assume @p151 (forall @t317 (= (= @t387 (_ (_ (_ tptp.match @t314) @t216) @t196)) @t316))) % 0.97/1.18 (assume @p152 (forall @t317 (= (= @t388 (_ (_ (_ tptp.mismatch @t314) @t216) @t196)) @t316))) % 0.97/1.18 (assume @p153 (forall (@list @t19 @t256 @t44 @t90) (=> @t278 (=> @t172 @t391)))) % 0.97/1.18 (assume @p154 (forall (@list @t19 @t256 @t90) (=> @t278 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @t90) @t90) @t19)) @t256)))) % 0.97/1.18 (assume @p155 (forall @t334 (=> @t391 (not (forall @t276 (=> @t333 (=> @t392 @t271))))))) % 0.97/1.18 (assume @p156 (forall (@list @t44 @t19 @t256) (not (_ (_ tptp.late_transitions (_ (_ @t385 @t44) @t19)) @t256)))) % 0.97/1.18 (assume @p157 (forall @t396 (=> @t391 (=> (=> @t278 (=> @t172 @t395)) @t395)))) % 0.97/1.18 (assume @p158 (forall @t334 (=> @t397 (not (forall @t339 (=> (and @t361 @t331) (not @t392))))))) % 0.97/1.18 (assume @p159 (forall @t334 (=> @t397 @t171))) % 0.97/1.18 (assume @p160 (forall @t396 (=> @t397 (=> (=> @t278 (=> @t171 (_ @t394 @t44))) @t395)))) % 0.97/1.18 (assume @p161 (forall @t322 (not (= @t390 @t321)))) % 0.97/1.18 (assume @p162 (forall @t322 (not (= @t398 @t321)))) % 0.97/1.18 (assume @p163 (forall @t323 (not (= @t390 @t48)))) % 0.97/1.18 (assume @p164 (forall @t323 (not (= @t398 @t48)))) % 0.97/1.18 (assume @p165 (forall @t382 (not (= @t378 @t399)))) % 0.97/1.18 (assume @p166 (forall @t382 (not (= @t378 @t389)))) % 0.97/1.18 (assume @p167 (forall @t382 (not (= @t312 @t399)))) % 0.97/1.18 (assume @p168 (forall @t382 (not (= @t312 @t389)))) % 0.97/1.18 (assume @p169 (forall @t383 (not (= @t324 @t399)))) % 0.97/1.18 (assume @p170 (forall @t383 (not (= @t324 @t389)))) % 0.97/1.18 (assume @p171 (forall (@list @t44 @t22 @t53) (= (= @t371 (_ @t370 @t53)) @t80))) % 0.97/1.18 (assume @p172 (forall (@list @t44 @t117 @t238) (= (= @t367 (_ @t366 @t238)) (= @t117 @t238)))) % 0.97/1.18 (assume @p173 (forall (@list @t44 @t111 @t221) (= (= @t363 (_ @t362 @t221)) (= @t111 @t221)))) % 0.97/1.18 (assume @p174 (forall (@list @t44 @t401 @t400) (= (= @t403 (_ @t402 @t400)) (= @t401 @t400)))) % 0.97/1.18 (assume @p175 (forall (@list @t44 @t124 @t404) (= (= @t375 (_ @t374 @t404)) (= @t124 @t404)))) % 0.97/1.18 (assume @p176 (forall (@list @t405 @t133 @t169) (=> (forall (@list @t138) (_ @t407 tptp.piNil)) (=> (forall @t422 (=> @t411 (_ @t407 @t428))) (=> (forall @t412 (=> @t411 (_ @t407 @t427))) (=> (forall @t422 (=> (_ (_ tptp.fresh_717452603ubject @t245) @t138) (=> @t426 (=> @t411 (_ @t407 @t424))))) (=> (forall @t422 (=> @t411 (_ @t407 @t423))) (=> (forall @t422 (=> @t411 (_ @t407 @t421))) (=> (forall @t419 (=> @t418 (=> @t417 (_ @t407 @t420)))) (=> (forall @t419 (=> @t418 (=> @t417 (_ @t407 @t416)))) (=> (forall (@list @t130 @t135 @t138) (=> @t144 (=> @t411 (_ @t407 @t413)))) (=> (forall @t412 (=> @t411 (_ @t407 @t406))) (_ (_ @t405 @t133) @t169))))))))))))) % 0.97/1.18 (assume @p177 (forall (@list @t429 @t145 @t169) (=> (forall (@list @t147) (_ @t430 tptp.piNil)) (=> (forall @t439 (=> @t434 (_ @t430 @t428))) (=> (forall @t435 (=> @t434 (_ @t430 @t427))) (=> (forall @t439 (=> (_ (_ tptp.fresh_1641682979reeRes @t245) @t147) (=> @t426 (=> @t434 (_ @t430 @t424))))) (=> (forall @t439 (=> @t434 (_ @t430 @t423))) (=> (forall @t439 (=> @t434 (_ @t430 @t421))) (=> (forall @t438 (=> @t437 (=> @t436 (_ @t430 @t420)))) (=> (forall @t438 (=> @t437 (=> @t436 (_ @t430 @t416)))) (=> (forall (@list @t130 @t135 @t147) (=> @t149 (=> @t434 (_ @t430 @t413)))) (=> (forall @t435 (=> @t434 (_ @t430 @t406))) (_ (_ @t429 @t145) @t169))))))))))))) % 0.97/1.18 (assume @p178 (forall (@list @t440 @t150 @t169) (=> (forall (@list @t152) (_ @t441 tptp.piNil)) (=> (forall @t450 (=> @t445 (_ @t441 @t428))) (=> (forall @t446 (=> @t445 (_ @t441 @t427))) (=> (forall @t450 (=> (_ @t425 @t152) (=> @t426 (=> @t445 (_ @t441 @t424))))) (=> (forall @t450 (=> @t445 (_ @t441 @t423))) (=> (forall @t450 (=> @t445 (_ @t441 @t421))) (=> (forall @t449 (=> @t448 (=> @t447 (_ @t441 @t420)))) (=> (forall @t449 (=> @t448 (=> @t447 (_ @t441 @t416)))) (=> (forall (@list @t130 @t135 @t152) (=> @t154 (=> @t445 (_ @t441 @t413)))) (=> (forall @t446 (=> @t445 (_ @t441 @t406))) (_ (_ @t440 @t150) @t169))))))))))))) % 0.97/1.18 (assume @p179 (forall (@list @t451 @t155 @t169) (=> (forall (@list @t157) (_ @t452 tptp.piNil)) (=> (forall @t461 (=> @t456 (_ @t452 @t428))) (=> (forall @t457 (=> @t456 (_ @t452 @t427))) (=> (forall @t461 (=> (_ (_ tptp.fresh_name_pi @t245) @t157) (=> @t426 (=> @t456 (_ @t452 @t424))))) (=> (forall @t461 (=> @t456 (_ @t452 @t423))) (=> (forall @t461 (=> @t456 (_ @t452 @t421))) (=> (forall @t460 (=> @t459 (=> @t458 (_ @t452 @t420)))) (=> (forall @t460 (=> @t459 (=> @t458 (_ @t452 @t416)))) (=> (forall (@list @t130 @t135 @t157) (=> @t159 (=> @t456 (_ @t452 @t413)))) (=> (forall @t457 (=> @t456 (_ @t452 @t406))) (_ (_ @t451 @t155) @t169))))))))))))) % 0.97/1.18 (assume @p180 (forall @t304 (= (_ @t104 @t462) @t105))) % 0.97/1.18 (assume @p181 (forall @t109 (= (_ @t104 @t463) @t107))) % 0.97/1.18 (assume @p182 (forall @t234 (_ @t104 tptp.piNil))) % 0.97/1.18 (assume @p183 (forall @t305 (= (_ (_ (_ tptp.subs @t464) @t18) @t17) (_ tptp.bang @t21)))) % 0.97/1.18 (assume @p184 (forall @t31 (= (_ (_ (_ tptp.subs @t465) @t18) @t17) (_ (_ tptp.sum @t21) @t28)))) % 0.97/1.18 (assume @p185 (forall (@list @t18 @t17) (= (_ (_ (_ tptp.subs tptp.piNil) @t18) @t17) tptp.piNil))) % 0.97/1.18 (assume @p186 (forall @t313 (not (= @t378 @t466)))) % 0.97/1.18 (assume @p187 (forall @t322 (not (= @t378 @t467)))) % 0.97/1.18 (assume @p188 (forall @t468 (not (= @t51 @t466)))) % 0.97/1.18 (assume @p189 (forall (@list @t110 @t169 @t46) (not (= (_ (_ tptp.res @t110) @t169) @t466)))) % 0.97/1.18 (assume @p190 (forall @t313 (not (= @t312 @t466)))) % 0.97/1.18 (assume @p191 (forall (@list @t19 @t27 @t256) (=> @t470 (=> (not @t278) @t469)))) % 0.97/1.18 (assume @p192 (forall (@list @t19 @t256 @t27) (=> @t278 @t470))) % 0.97/1.18 (assume @p193 (forall (@list @t27 @t256 @t19) (=> @t469 @t470))) % 0.97/1.18 (assume @p194 (forall (@list @t169 @t46) (not (= @t324 @t466)))) % 0.97/1.18 (assume @p195 (forall (@list @t50 @t49 @t320 @t319) (not (= @t471 @t321)))) % 0.97/1.18 (assume @p196 (forall @t52 (not (= @t471 @t48)))) % 0.97/1.18 (assume @p197 (forall @t472 (not (= tptp.piNil @t467)))) % 0.97/1.18 (assume @p198 (forall @t473 (not (= tptp.piNil @t466)))) % 0.97/1.18 (assume @p199 (forall @t468 (not (= @t471 @t466)))) % 0.97/1.18 (assume @p200 (forall @t200 (= (= @t463 (_ (_ tptp.sum @t198) @t196)) @t199))) % 0.97/1.18 (assume @p201 (forall @t318 (= (= @t462 (_ tptp.bang @t196)) @t197))) % 0.97/1.18 (assume @p202 (forall @t473 (not (= tptp.piNil @t311)))) % 0.97/1.18 (assume @p203 (forall @t474 (not (= tptp.piNil (_ (_ (_ tptp.output @t380) @t379) @t46))))) % 0.97/1.18 (assume @p204 (forall @t474 (not (= tptp.piNil @t381)))) % 0.97/1.18 (assume @p205 (forall (@list @t47 @t46) (not (= tptp.piNil @t48)))) % 0.97/1.18 (assume @p206 (forall @t472 (not (= tptp.piNil @t321)))) % 0.97/1.18 (assume @p207 (forall (@list @t256) (not (_ (_ tptp.late_transitions tptp.piNil) @t256)))) % 0.97/1.18 (assume @p208 (forall @t325 (not (= @t324 @t467)))) % 0.97/1.18 (assume @p209 (forall @t322 (not (= @t312 @t467)))) % 0.97/1.18 (assume @p210 (forall @t313 (not (= @t398 @t466)))) % 0.97/1.18 (assume @p211 (forall @t322 (not (= @t398 @t467)))) % 0.97/1.18 (assume @p212 (forall @t313 (not (= @t390 @t466)))) % 0.97/1.18 (assume @p213 (forall @t322 (not (= @t390 @t467)))) % 0.97/1.18 (assume @p214 (forall @t474 (not (= tptp.piNil @t389)))) % 0.97/1.18 (assume @p215 (forall @t474 (not (= tptp.piNil @t399)))) % 0.97/1.18 (assume @p216 (forall @t340 (=> (_ (_ tptp.late_transitions @t476) @t256) @t475))) % 0.97/1.18 (assume @p217 (forall @t340 (=> @t475 (not (forall @t339 (=> (= @t464 @t477) (not (_ (_ tptp.late_transitions @t478) @t256)))))))) % 0.97/1.18 (assume @p218 (forall (@list @t22 @t256) (not (_ (_ tptp.late_transitions (_ @t23 tptp.piNil)) @t256)))) % 0.97/1.18 (assume @p219 (forall (@list @t479 @t169) (=> (_ @t479 tptp.piNil) (=> (forall @t485 (=> @t480 (_ @t479 @t428))) (=> (forall @t481 (=> @t480 (_ @t479 @t427))) (=> (forall @t485 (=> @t480 (_ @t479 @t424))) (=> (forall @t485 (=> @t480 (_ @t479 @t423))) (=> (forall @t485 (=> @t480 (_ @t479 @t421))) (=> (forall @t484 (=> @t483 (=> @t482 (_ @t479 @t420)))) (=> (forall @t484 (=> @t483 (=> @t482 (_ @t479 @t416)))) (=> (forall (@list @t130 @t135) (=> @t480 (_ @t479 @t413))) (=> (forall @t481 (=> @t480 (_ @t479 @t406))) (_ @t479 @t169))))))))))))) % 0.97/1.18 (assume @p220 (forall @t338 (_ @t486 @t476))) % 0.97/1.18 (assume @p221 (forall (@list @t487 @t489) (=> (_ (_ tptp.late_bangPred @t487) @t489) (=> (not (= @t489 @t488)) (= @t489 (_ (_ tptp.par @t487) @t488)))))) % 0.97/1.18 (assume @p222 (forall @t338 (_ @t486 @t464))) % 0.97/1.18 (assume @p223 (forall (@list @t103 @t106 @t451) (=> (_ (_ tptp.late_bangPred @t103) @t106) (=> (forall @t339 (_ @t490 @t477)) (=> (forall @t339 (_ @t490 @t478)) (_ (_ @t451 @t103) @t106)))))) % 0.97/1.18 (assume @p224 (forall (@list @t111 @t90 @t44) (=> @t491 @t365))) % 0.97/1.18 (assume @p225 (forall (@list @t117 @t90 @t44) (=> @t492 @t369))) % 0.97/1.18 (assume @p226 (forall (@list @t22 @t90 @t44) (=> @t493 @t373))) % 0.97/1.18 (assume @p227 (forall (@list @t124 @t90 @t44) (=> @t494 @t377))) % 0.97/1.18 (assume @p228 (forall (@list @t401 @t90 @t44) (=> @t495 (= (_ (_ tptp.fresh_92802872ion_pi @t90) @t403) (or @t361 (_ @t376 @t401)))))) % 0.97/1.18 (assume @p229 (forall (@list @t496 @t90 @t44) (=> @t497 (= (_ (_ tptp.fresh_600418535ubject @t90) (_ (_ tptp.abs_fu1705804544ubject @t44) @t496)) (or @t361 (_ @t364 @t496)))))) % 0.97/1.18 (assume @p230 (forall (@list @t498 @t90 @t44) (=> @t499 (= (_ (_ tptp.fresh_1215331279reeRes @t90) (_ (_ tptp.abs_fu1763130856reeRes @t44) @t498)) (or @t361 (_ @t368 @t498)))))) % 0.97/1.18 (assume @p231 (forall (@list @t500 @t90 @t44) (=> @t501 (= (_ (_ tptp.fresh_1742414570n_name @t90) (_ (_ tptp.abs_fu1394407909n_name @t44) @t500)) (or @t361 (_ @t372 @t500)))))) % 0.97/1.18 (assume @p232 (forall (@list @t502 @t90 @t44) (=> @t503 (= (_ (_ tptp.fresh_1644004594ubject @t90) (_ (_ tptp.abs_fu888821131ubject @t44) @t502)) (or @t361 (_ (_ tptp.fresh_198785932ubject @t90) @t502)))))) % 0.97/1.18 (assume @p233 (forall (@list @t504 @t90 @t44) (=> @t505 (= (_ (_ tptp.fresh_111433690reeRes @t90) (_ (_ tptp.abs_fu946147443reeRes @t44) @t504)) (or @t361 (_ (_ tptp.fresh_256112244reeRes @t90) @t504)))))) % 0.97/1.18 (assume @p234 (forall @t116 (=> @t491 @t115))) % 0.97/1.18 (assume @p235 (forall @t120 (=> @t492 @t119))) % 0.97/1.18 (assume @p236 (forall @t123 (=> @t493 @t122))) % 0.97/1.18 (assume @p237 (forall @t127 (=> @t494 @t126))) % 0.97/1.18 (assume @p238 (forall @t507 (=> @t495 (not (forall @t114 (not @t506)))))) % 0.97/1.18 (assume @p239 (forall @t509 (=> @t497 (not (forall @t114 (not @t508)))))) % 0.97/1.18 (assume @p240 (forall @t511 (=> @t499 (not (forall @t114 (not @t510)))))) % 0.97/1.18 (assume @p241 (forall @t513 (=> @t501 (not (forall @t114 (not @t512)))))) % 0.97/1.18 (assume @p242 (forall @t515 (=> @t503 (not (forall @t114 (not @t514)))))) % 0.97/1.18 (assume @p243 (forall @t517 (=> @t505 (not (forall @t114 (not @t516)))))) % 0.97/1.18 (assume @p244 (forall @t116 (=> @t491 (exists @t114 @t113)))) % 0.97/1.18 (assume @p245 (forall @t120 (=> @t492 (exists @t114 @t118)))) % 0.97/1.18 (assume @p246 (forall @t123 (=> @t493 (exists @t114 @t121)))) % 0.97/1.18 (assume @p247 (forall @t127 (=> @t494 (exists @t114 @t125)))) % 0.97/1.18 (assume @p248 (forall @t507 (=> @t495 (exists @t114 @t506)))) % 0.97/1.18 (assume @p249 (forall @t509 (=> @t497 (exists @t114 @t508)))) % 0.97/1.18 (assume @p250 (forall @t511 (=> @t499 (exists @t114 @t510)))) % 0.97/1.18 (assume @p251 (forall @t513 (=> @t501 (exists @t114 @t512)))) % 0.97/1.18 (assume @p252 (forall @t515 (=> @t503 (exists @t114 @t514)))) % 0.97/1.18 (assume @p253 (forall @t517 (=> @t505 (exists @t114 @t516)))) % 0.97/1.18 (assume @p254 (= tptp.fresh_717452603ubject (lambda (@list @t519 @t518) (not (_ @t520 (_ tptp.supp_L1174290467t_name @t518)))))) % 0.97/1.18 (assume @p255 (= tptp.fresh_1641682979reeRes (lambda (@list @t519 @t521) (not (_ @t520 (_ tptp.supp_L1228270395s_name @t521)))))) % 0.97/1.18 (assume @p256 (= tptp.fresh_name_name (lambda (@list @t519 @t180) (not (_ @t520 (_ tptp.supp_name_name @t180)))))) % 0.97/1.18 (assume @p257 (= tptp.fresh_name_pi (lambda (@list @t519 @t522) (not (_ @t520 (_ tptp.supp_pi_name @t522)))))) % 0.97/1.18 (assume @p258 (= tptp.fresh_543891186ion_pi (lambda (@list @t519 @t523) (not (_ @t520 (_ tptp.supp_n468628396i_name @t523)))))) % 0.97/1.18 (assume @p259 (= tptp.fresh_728038529ubject (lambda (@list @t519 @t524) (not (_ @t520 (_ tptp.supp_n1630792207t_name @t524)))))) % 0.97/1.18 (assume @p260 (= tptp.fresh_785364841reeRes (lambda (@list @t519 @t525) (not (_ @t520 (_ tptp.supp_n252280103s_name @t525)))))) % 0.97/1.18 (assume @p261 (= tptp.fresh_1093033124n_name (lambda (@list @t519 @t526) (not (_ @t520 (_ tptp.supp_n352473082e_name @t526)))))) % 0.97/1.18 (assume @p262 (= tptp.fresh_198785932ubject (lambda (@list @t519 @t527) (not (_ @t520 (_ tptp.supp_L1759672260t_name @t527)))))) % 0.97/1.18 (assume @p263 (= tptp.fresh_256112244reeRes (lambda (@list @t519 @t528) (not (_ @t520 (_ tptp.supp_L381160156s_name @t528)))))) % 0.97/1.18 (assume @p264 (forall (@list @t99 @t106) (= (_ tptp.supp_pi_name @t357) @t529))) % 0.97/1.18 (assume @p265 (forall @t531 (= (_ tptp.supp_pi_name @t303) @t530))) % 0.97/1.18 (assume @p266 (forall @t533 (= (_ tptp.supp_L1174290467t_name @t101) @t532))) % 0.97/1.18 (assume @p267 (forall @t533 (= (_ tptp.supp_L1174290467t_name @t215) @t532))) % 0.97/1.18 (assume @p268 (forall @t531 (= (_ tptp.supp_pi_name @t462) @t530))) % 0.97/1.18 (assume @p269 (forall @t116 @t491)) % 0.97/1.18 (assume @p270 (forall @t120 @t492)) % 0.97/1.18 (assume @p271 (forall @t123 @t493)) % 0.97/1.18 (assume @p272 (forall @t127 @t494)) % 0.97/1.18 (assume @p273 (forall (@list @t536 @t534 @t133 @t129 @t243 @t169) (=> @t557 (=> @t556 (=> @t555 (=> @t554 (=> @t553 (=> @t549 @t538)))))))) % 0.97/1.18 (assume @p274 (forall (@list @t559 @t558 @t133 @t244 @t243 @t169) (=> @t571 (=> @t570 (=> @t555 (=> @t569 (=> @t568 (=> @t567 @t561)))))))) % 0.97/1.18 (assume @p275 (forall (@list @t573 @t572 @t133 @t177 @t243 @t169) (=> @t585 (=> @t584 (=> @t555 (=> @t583 (=> @t582 (=> @t581 @t575)))))))) % 0.97/1.18 (assume @p276 (forall (@list @t587 @t586 @t133 @t479 @t243 @t169) (=> @t598 (=> @t597 (=> @t555 (=> @t596 (=> @t595 (=> @t594 @t589)))))))) % 0.97/1.18 (assume @p277 (forall (@list @t536 @t534 @t145 @t129 @t243 @t169) (=> @t557 (=> @t556 (=> @t601 (=> @t554 (=> @t553 (=> @t600 @t538)))))))) % 0.97/1.18 (assume @p278 (forall (@list @t559 @t558 @t145 @t244 @t243 @t169) (=> @t571 (=> @t570 (=> @t601 (=> @t569 (=> @t568 (=> @t602 @t561)))))))) % 0.97/1.18 (assume @p279 (forall (@list @t573 @t572 @t145 @t177 @t243 @t169) (=> @t585 (=> @t584 (=> @t601 (=> @t583 (=> @t582 (=> @t603 @t575)))))))) % 0.97/1.18 (assume @p280 (forall (@list @t587 @t586 @t145 @t479 @t243 @t169) (=> @t598 (=> @t597 (=> @t601 (=> @t596 (=> @t595 (=> @t604 @t589)))))))) % 0.97/1.18 (assume @p281 (forall (@list @t536 @t534 @t150 @t129 @t243 @t169) (=> @t557 (=> @t556 (=> @t607 (=> @t554 (=> @t553 (=> @t606 @t538)))))))) % 0.97/1.18 (assume @p282 (forall (@list @t559 @t558 @t150 @t244 @t243 @t169) (=> @t571 (=> @t570 (=> @t607 (=> @t569 (=> @t568 (=> @t608 @t561)))))))) % 0.97/1.18 (assume @p283 (forall (@list @t536 @t534 @t133 @t129 @t110 @t128 @t169) (=> @t557 (=> @t556 (=> @t555 (=> @t554 (=> @t553 (=> @t549 @t610)))))))) % 0.97/1.18 (assume @p284 (forall (@list @t559 @t558 @t133 @t244 @t110 @t128 @t169) (=> @t571 (=> @t570 (=> @t555 (=> @t569 (=> @t568 (=> @t567 @t611)))))))) % 0.97/1.18 (assume @p285 (forall (@list @t573 @t572 @t133 @t177 @t110 @t128 @t169) (=> @t585 (=> @t584 (=> @t555 (=> @t583 (=> @t582 (=> @t581 @t612)))))))) % 0.97/1.18 (assume @p286 (forall (@list @t587 @t586 @t133 @t479 @t110 @t128 @t169) (=> @t598 (=> @t597 (=> @t555 (=> @t596 (=> @t595 (=> @t594 @t613)))))))) % 0.97/1.18 (assume @p287 (forall (@list @t536 @t534 @t145 @t129 @t110 @t128 @t169) (=> @t557 (=> @t556 (=> @t601 (=> @t554 (=> @t553 (=> @t600 @t610)))))))) % 0.97/1.18 (assume @p288 (forall (@list @t559 @t558 @t145 @t244 @t110 @t128 @t169) (=> @t571 (=> @t570 (=> @t601 (=> @t569 (=> @t568 (=> @t602 @t611)))))))) % 0.97/1.18 (assume @p289 (forall (@list @t573 @t572 @t145 @t177 @t110 @t128 @t169) (=> @t585 (=> @t584 (=> @t601 (=> @t583 (=> @t582 (=> @t603 @t612)))))))) % 0.97/1.18 (assume @p290 (forall (@list @t587 @t586 @t145 @t479 @t110 @t128 @t169) (=> @t598 (=> @t597 (=> @t601 (=> @t596 (=> @t595 (=> @t604 @t613)))))))) % 0.97/1.18 (assume @p291 (forall (@list @t536 @t534 @t150 @t129 @t110 @t128 @t169) (=> @t557 (=> @t556 (=> @t607 (=> @t554 (=> @t553 (=> @t606 @t610)))))))) % 0.97/1.18 (assume @p292 (forall (@list @t559 @t558 @t150 @t244 @t110 @t128 @t169) (=> @t571 (=> @t570 (=> @t607 (=> @t569 (=> @t568 (=> @t608 @t611)))))))) % 0.97/1.18 (assume @p293 (forall (@list @t616 @t615 @t617 @t614 @t44) (=> (_ tptp.finite_finite_name (_ tptp.supp_L14705974e_name @t616)) (=> (_ tptp.finite_finite_name (_ tptp.supp_L473926939e_name @t615)) (=> (_ @t620 @t614) (=> (forall (@list @t619) (=> (_ @t620 @t619) (= @t619 @t614))) (=> @t618 (=> (_ (_ tptp.fresh_62885992n_name @t44) @t616) (=> (_ (_ tptp.fresh_808662133n_name @t44) @t615) (_ (_ tptp.fresh_1093033124n_name @t44) @t614)))))))))) % 0.97/1.18 (assume @p294 (forall (@list @t623 @t622 @t617 @t621 @t44) (=> (_ tptp.finite_finite_name (_ tptp.supp_L1512088218i_name @t623)) (=> (_ tptp.finite_finite_name (_ tptp.supp_L979396363i_name @t622)) (=> (_ @t625 @t621) (=> (forall (@list @t624) (=> (_ @t625 @t624) (= @t624 @t621))) (=> @t618 (=> (_ (_ tptp.fresh_876421558ion_pi @t44) @t623) (=> (_ (_ tptp.fresh_2081817683ion_pi @t44) @t622) (_ (_ tptp.fresh_92802872ion_pi @t44) @t621)))))))))) % 0.97/1.18 (assume @p295 (forall (@list @t536 @t534 @t617 @t221 @t44) (=> @t557 (=> @t556 (=> (_ @t628 @t221) (=> (forall (@list @t626) (=> (_ @t628 @t626) (= @t626 @t221))) (=> @t618 (=> (_ (_ tptp.fresh_795910143ubject @t44) @t536) (=> (_ (_ tptp.fresh_198785932ubject @t44) @t534) (_ @t236 @t221)))))))))) % 0.97/1.18 (assume @p296 (forall (@list @t559 @t558 @t617 @t238 @t44) (=> @t571 (=> @t570 (=> (_ @t631 @t238) (=> (forall (@list @t629) (=> (_ @t631 @t629) (= @t629 @t238))) (=> @t618 (=> (_ (_ tptp.fresh_660367079reeRes @t44) @t559) (=> (_ (_ tptp.fresh_256112244reeRes @t44) @t558) (_ @t228 @t238)))))))))) % 0.97/1.18 (assume @p297 (forall (@list @t573 @t572 @t617 @t53 @t44) (=> @t585 (=> @t584 (=> (_ @t634 @t53) (=> (forall (@list @t632) (=> (_ @t634 @t632) (= @t632 @t53))) (=> @t618 (=> (_ (_ tptp.fresh_621211324i_name @t44) @t573) (=> (_ (_ tptp.fresh_1030632537i_name @t44) @t572) (_ @t224 @t53)))))))))) % 0.97/1.18 (assume @p298 (forall (@list @t587 @t586 @t617 @t404 @t44) (=> @t598 (=> @t597 (=> (_ @t637 @t404) (=> (forall (@list @t635) (=> (_ @t637 @t635) (= @t635 @t404))) (=> @t618 (=> (_ (_ tptp.fresh_1438126218_pi_pi @t44) @t587) (=> (_ (_ tptp.fresh_1011532071_pi_pi @t44) @t586) (_ @t104 @t404)))))))))) % 0.97/1.18 (assume @p299 (forall (@list @t639 @t638 @t617 @t400 @t44) (=> @t644 (=> @t643 (=> (_ @t642 @t400) (=> (forall (@list @t640) (=> (_ @t642 @t640) (= @t640 @t400))) (=> @t618 (=> (_ (_ tptp.fresh_747777846ion_pi @t44) @t639) (=> (_ (_ tptp.fresh_7927363ion_pi @t44) @t638) (_ @t345 @t400)))))))))) % 0.97/1.18 (assume @p300 (forall (@list @t536 @t534 @t133 @t129 @t617) (=> @t557 (=> @t556 (=> @t555 (=> @t554 (=> @t553 (=> (forall @t650 (=> @t547 (=> @t546 (=> @t545 @t649)))) @t647)))))))) % 0.97/1.18 (assume @p301 (forall (@list @t559 @t558 @t133 @t244 @t617) (=> @t571 (=> @t570 (=> @t555 (=> @t569 (=> @t568 (=> (forall @t650 (=> @t566 (=> @t546 (=> @t545 @t654)))) @t653)))))))) % 0.97/1.18 (assume @p302 (forall (@list @t573 @t572 @t133 @t177 @t617) (=> @t585 (=> @t584 (=> @t555 (=> @t583 (=> @t582 (=> (forall @t650 (=> @t580 (=> @t546 (=> @t545 @t657)))) @t656)))))))) % 0.97/1.18 (assume @p303 (forall (@list @t587 @t586 @t133 @t479 @t617) (=> @t598 (=> @t597 (=> @t555 (=> @t596 (=> @t595 (=> (forall @t650 (=> @t593 (=> @t546 (=> @t545 @t661)))) @t660)))))))) % 0.97/1.18 (assume @p304 (forall (@list @t536 @t534 @t145 @t129 @t617) (=> @t557 (=> @t556 (=> @t601 (=> @t554 (=> @t553 (=> (forall @t650 (=> @t547 (=> @t546 (=> @t599 @t649)))) @t647)))))))) % 0.97/1.18 (assume @p305 (forall (@list @t559 @t558 @t145 @t244 @t617) (=> @t571 (=> @t570 (=> @t601 (=> @t569 (=> @t568 (=> (forall @t650 (=> @t566 (=> @t546 (=> @t599 @t654)))) @t653)))))))) % 0.97/1.18 (assume @p306 (forall (@list @t573 @t572 @t145 @t177 @t617) (=> @t585 (=> @t584 (=> @t601 (=> @t583 (=> @t582 (=> (forall @t650 (=> @t580 (=> @t546 (=> @t599 @t657)))) @t656)))))))) % 0.97/1.18 (assume @p307 (forall (@list @t587 @t586 @t145 @t479 @t617) (=> @t598 (=> @t597 (=> @t601 (=> @t596 (=> @t595 (=> (forall @t650 (=> @t593 (=> @t546 (=> @t599 @t661)))) @t660)))))))) % 0.97/1.18 (assume @p308 (forall (@list @t536 @t534 @t150 @t129 @t617) (=> @t557 (=> @t556 (=> @t607 (=> @t554 (=> @t553 (=> (forall @t650 (=> @t547 (=> @t546 (=> @t605 @t649)))) @t647)))))))) % 0.97/1.18 (assume @p309 (forall (@list @t559 @t558 @t150 @t244 @t617) (=> @t571 (=> @t570 (=> @t607 (=> @t569 (=> @t568 (=> (forall @t650 (=> @t566 (=> @t546 (=> @t605 @t654)))) @t653)))))))) % 0.97/1.18 (assume @p310 (forall (@list @t536 @t534 @t663 @t662) (=> @t557 (=> @t556 (=> (_ (_ @t627 @t663) @t662) (_ tptp.finite_finite_name (_ tptp.supp_L1174290467t_name @t662))))))) % 0.97/1.18 (assume @p311 (forall (@list @t559 @t558 @t663 @t664) (=> @t571 (=> @t570 (=> (_ (_ @t630 @t663) @t664) (_ tptp.finite_finite_name (_ tptp.supp_L1228270395s_name @t664))))))) % 0.97/1.18 (assume @p312 (forall (@list @t573 @t572 @t663 @t98) (=> @t585 (=> @t584 (=> (_ (_ @t633 @t663) @t98) (_ tptp.finite_finite_name (_ tptp.supp_name_name @t98))))))) % 0.97/1.18 (assume @p313 (forall (@list @t587 @t586 @t663 @t196) (=> @t598 (=> @t597 (=> (_ (_ @t636 @t663) @t196) (_ tptp.finite_finite_name (_ tptp.supp_pi_name @t196))))))) % 0.97/1.18 (assume @p314 (forall (@list @t639 @t638 @t663 @t665) (=> @t644 (=> @t643 (=> (_ (_ @t641 @t663) @t665) (_ tptp.finite_finite_name (_ tptp.supp_n468628396i_name @t665))))))) % 0.97/1.18 (assume @p315 (forall (@list @t306 @t99 @t106) (= (_ tptp.supp_pi_name @t358) (_ @t666 @t529)))) % 0.97/1.18 (assume @p316 (forall (@list @t347 @t99 @t106) (= (_ tptp.supp_L1174042202l_name @t348) (_ (_ tptp.sup_sup_set_name (_ tptp.supp_L1174290467t_name @t347)) @t529)))) % 0.97/1.18 (assume @p317 (forall @t668 (= (_ tptp.supp_pi_name @t463) @t667))) % 0.97/1.18 (assume @p318 (forall @t668 (= (_ tptp.supp_pi_name @t108) @t667))) % 0.97/1.18 (assume @p319 (forall (@list @t203 @t103) (= (_ tptp.supp_L1174042202l_name @t204) (_ (_ tptp.sup_sup_set_name (_ tptp.supp_L1228270395s_name @t203)) @t530)))) % 0.97/1.18 (assume @p320 (forall (@list @t217 @t99) (= (_ tptp.supp_L1228270395s_name @t227) (_ @t669 @t532)))) % 0.97/1.18 (assume @p321 (forall (@list @t306 @t217 @t103) (= (_ tptp.supp_pi_name @t309) (_ @t666 (_ @t669 @t530))))) % 0.97/1.18 (assume @p322 (forall (@list @t670) (or (= @t670 true) (= @t670 false)))) % 0.97/1.18 (assume @p323 (forall @t671 (= (_ (_ (_ tptp.if_name false) @t22) @t53) @t53))) % 0.97/1.18 (assume @p324 (forall @t671 (= (_ (_ (_ tptp.if_name true) @t22) @t53) @t22))) % 0.97/1.18 (assume @p325 @t676) % 0.97/1.18 (assume @p326 true) % 0.97/1.18 (step @p327 (= tptp.fresh_name_name @t679) :rule refl :args (@t679)) % 0.97/1.18 (step @p328 (= tptp.subst_name @t683) :rule refl :args (@t683)) % 0.97/1.18 (step @p329 (= tptp.late_bangPred @t690) :rule refl :args (@t690)) % 0.97/1.18 (step @p330 (= tptp.subs @t718) :rule refl :args (@t718)) % 0.97/1.18 (step @p331 (= tptp.supp_L1174290467t_name @t720) :rule refl :args (@t720)) % 0.97/1.18 (step @p332 (= tptp.supp_L1228270395s_name @t721) :rule refl :args (@t721)) % 0.97/1.18 (step @p333 (= tptp.supp_name_name @t722) :rule refl :args (@t722)) % 0.97/1.18 (step @p334 (= tptp.supp_pi_name @t723) :rule refl :args (@t723)) % 0.97/1.18 (step @p335 (= tptp.supp_n468628396i_name @t724) :rule refl :args (@t724)) % 0.97/1.18 (step @p336 (= tptp.supp_n1630792207t_name @t725) :rule refl :args (@t725)) % 0.97/1.18 (step @p337 (= tptp.supp_n252280103s_name @t726) :rule refl :args (@t726)) % 0.97/1.18 (step @p338 (= tptp.supp_n352473082e_name @t727) :rule refl :args (@t727)) % 0.97/1.18 (step @p339 (= tptp.supp_L1759672260t_name @t728) :rule refl :args (@t728)) % 0.97/1.18 (step @p340 (= tptp.supp_L381160156s_name @t729) :rule refl :args (@t729)) % 0.97/1.18 (step @p341 :rule evaluate :args ((= false true))) % 0.97/1.18 (step @p342 :rule refl :args (@t754)) % 0.97/1.18 (step @p343 :rule symm :premises (@p1)) % 0.97/1.18 (step @p344 :rule cong :premises (@p343 @p342) :args (@t755)) % 0.97/1.18 (step @p345 :rule refl :args (@t756)) % 0.97/1.18 (step @p346 :rule cong :premises (@p345 @p344) :args (@t757)) % 0.97/1.18 (step @p347 :rule refl :args (@t759)) % 0.97/1.18 (step @p348 :rule refl :args (@t763)) % 0.97/1.18 (step @p349 :rule refl :args (@t767)) % 0.97/1.18 (step @p350 :rule nary_cong :premises (@p349 @p348 @p347 @p346) :args (@t768)) % 0.97/1.18 (step @p351 :rule cong :premises (@p350) :args ((forall @t78 @t768))) % 0.97/1.18 (step @p352 :rule refl :args ((tptp.late_transitions @t30 @t784))) % 0.97/1.18 (step @p353 :rule refl :args ((tptp.late_FreeR tptp.late_TauR @t783))) % 0.97/1.18 (step @p354 :rule refl :args ((tptp.res @t53 @t782))) % 0.97/1.18 (step @p355 :rule refl :args ((tptp.par @t32 @t781))) % 0.97/1.18 (step @p356 :rule refl :args ((tptp.pi_rec_pi tptp.piNil @t780 @t714 @t778 @t776 @t774 @t704 @t702 @t698 @t694 @t41))) % 0.97/1.18 (step @p357 :rule refl :args (@t41)) % 0.97/1.18 (step @p358 :rule refl :args (@t730)) % 0.97/1.18 (step @p359 :rule cong :premises (@p358) :args (@t731)) % 0.97/1.18 (step @p360 :rule refl :args (@t732)) % 0.97/1.18 (step @p361 :rule cong :premises (@p360) :args (@t733)) % 0.97/1.18 (step @p362 :rule refl :args (@t734)) % 0.97/1.18 (step @p363 :rule cong :premises (@p362) :args (@t735)) % 0.97/1.18 (step @p364 :rule refl :args (@t736)) % 0.97/1.18 (step @p365 :rule cong :premises (@p364) :args (@t737)) % 0.97/1.18 (step @p366 :rule refl :args ((tptp.mismatch @t772 @t770 @t691))) % 0.97/1.18 (step @p367 :rule refl :args (@t691)) % 0.97/1.18 (step @p368 :rule refl :args (@t739)) % 0.97/1.18 (step @p369 :rule refl :args (@t741)) % 0.97/1.18 (step @p370 :rule cong :premises (@p369 @p368 @p367) :args (@t742)) % 0.97/1.18 (step @p371 :rule trans :premises (@p370 @p366)) % 0.97/1.18 (step @p372 :rule cong :premises (@p371) :args (@t743)) % 0.97/1.18 (step @p373 :rule refl :args ((tptp.match @t772 @t770 @t691))) % 0.97/1.18 (step @p374 :rule cong :premises (@p369 @p368 @p367) :args (@t744)) % 0.97/1.18 (step @p375 :rule trans :premises (@p374 @p373)) % 0.97/1.18 (step @p376 :rule cong :premises (@p375) :args (@t745)) % 0.97/1.18 (step @p377 :rule refl :args ((tptp.input @t772 @t695 @t691))) % 0.97/1.18 (step @p378 :rule refl :args (@t695)) % 0.97/1.18 (step @p379 :rule cong :premises (@p369 @p378 @p367) :args (@t746)) % 0.97/1.18 (step @p380 :rule trans :premises (@p379 @p377)) % 0.97/1.18 (step @p381 :rule cong :premises (@p380) :args (@t747)) % 0.97/1.18 (step @p382 :rule refl :args (@t748)) % 0.97/1.18 (step @p383 :rule cong :premises (@p382) :args (@t749)) % 0.97/1.18 (step @p384 :rule refl :args ((tptp.output @t772 @t770 @t691))) % 0.97/1.18 (step @p385 :rule cong :premises (@p369 @p368 @p367) :args (@t750)) % 0.97/1.18 (step @p386 :rule trans :premises (@p385 @p384)) % 0.97/1.18 (step @p387 :rule cong :premises (@p386) :args (@t751)) % 0.97/1.18 (step @p388 :rule refl :args (tptp.piNil)) % 0.97/1.18 (step @p389 :rule cong :premises (@p388 @p387 @p383 @p381 @p376 @p372 @p365 @p363 @p361 @p359 @p357) :args (@t752)) % 0.97/1.18 (step @p390 :rule trans :premises (@p389 @p356)) % 0.97/1.18 (step @p391 :rule refl :args (@t32)) % 0.97/1.18 (step @p392 :rule cong :premises (@p391 @p390) :args (@t753)) % 0.97/1.18 (step @p393 :rule trans :premises (@p392 @p355)) % 0.97/1.18 (step @p394 :rule refl :args (@t53)) % 0.97/1.18 (step @p395 :rule cong :premises (@p394 @p393) :args (@t754)) % 0.97/1.18 (step @p396 :rule trans :premises (@p395 @p354)) % 0.97/1.18 (step @p397 :rule refl :args (tptp.late_TauR)) % 0.97/1.18 (step @p398 :rule cong :premises (@p397 @p396) :args (@t755)) % 0.97/1.18 (step @p399 :rule trans :premises (@p398 @p353)) % 0.97/1.18 (step @p400 :rule refl :args (@t756)) % 0.97/1.18 (step @p401 :rule cong :premises (@p400 @p399) :args (@t757)) % 0.97/1.18 (step @p402 :rule trans :premises (@p401 @p352)) % 0.97/1.18 (step @p403 :rule refl :args (tptp.late_transitions)) % 0.97/1.18 (step @p404 :rule ho_cong :premises (@p403 @p400)) % 0.97/1.18 (step @p405 :rule ho_cong :premises (@p404 @p399)) % 0.97/1.18 (step @p406 :rule cong :premises (@p405 @p402) :args ((= (_ (_ tptp.late_transitions @t756) @t755) @t757))) % 0.97/1.18 (step @p407 :rule symm :premises (@p406)) % 0.97/1.18 (step @p408 :rule refl :args (@t785)) % 0.97/1.18 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 0.97/1.18 (step @p410 :rule refl :args (@t56)) % 0.97/1.18 (step @p411 :rule ho_cong :premises (@p410 @p396)) % 0.97/1.18 (step @p412 :rule cong :premises (@p411 @p399) :args ((= (_ @t56 @t754) @t755))) % 0.97/1.18 (step @p413 :rule symm :premises (@p412)) % 0.97/1.18 (step @p414 :rule refl :args (@t784)) % 0.97/1.18 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.97/1.18 (step @p416 :rule refl :args (@t55)) % 0.97/1.18 (step @p417 :rule ho_cong 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0.97/1.18 (assume-push @p1699 @t863) % 0.97/1.18 (step @p893 :rule instantiate :premises (@p820) :args ((@list @t849 tptp.a tptp.y @t845 tptp.r tptp.x tptp.r2))) % 0.97/1.18 (step-pop @p1700 :rule scope :premises (@p893)) % 0.97/1.18 (step @p894 :rule process_scope :premises (@p1700) :args (@t862)) % 0.97/1.18 (step @p896 :rule eq_resolve :premises (@p894 @p891)) % 0.97/1.18 (step @p897 :rule implies_elim :premises (@p896)) % 0.97/1.18 (step @p898 :rule chain_m_resolution :premises (@p897 @p820) :args (@t865 (@list false) (@list @t863))) % 0.97/1.18 (step @p899 :rule refl :args ((tptp.late_transitions @t13 @t12))) % 0.97/1.18 (step @p900 :rule refl :args ((tptp.late_BoundR @t10 tptp.y @t9))) % 0.97/1.18 (step @p901 :rule refl :args (@t845)) % 0.97/1.18 (step @p902 :rule refl :args (tptp.y)) % 0.97/1.18 (step @p903 :rule refl :args (@t858)) % 0.97/1.18 (step @p904 :rule cong :premises (@p903 @p902 @p901) :args (@t859)) % 0.97/1.18 (step @p905 :rule trans :premises (@p904 @p900)) % 0.97/1.18 (step @p906 :rule refl :args (@t849)) % 0.97/1.18 (step @p907 :rule cong :premises (@p906 @p905) :args (@t860)) % 0.97/1.18 (step @p908 :rule trans :premises (@p907 @p899)) % 0.97/1.18 (step @p909 :rule ho_cong :premises (@p403 @p906)) % 0.97/1.18 (step @p910 :rule ho_cong :premises (@p909 @p905)) % 0.97/1.18 (step @p911 :rule cong :premises (@p910 @p908) :args ((= (_ (_ tptp.late_transitions @t849) @t859) @t860))) % 0.97/1.18 (step @p912 :rule symm :premises (@p911)) % 0.97/1.18 (step @p913 :rule refl :args (@t14)) % 0.97/1.18 (step @p914 :rule eq_resolve :premises (@p913 @p912)) % 0.97/1.18 (step @p915 :rule ho_cong :premises (@p573 @p903)) % 0.97/1.18 (step @p916 :rule ho_cong :premises (@p915 @p902)) % 0.97/1.18 (step @p917 :rule ho_cong :premises (@p916 @p901)) % 0.97/1.18 (step @p918 :rule cong :premises (@p917 @p905) :args ((= (_ (_ (_ tptp.late_BoundR @t858) tptp.y) @t845) @t859))) % 0.97/1.18 (step @p919 :rule symm :premises (@p918)) % 0.97/1.18 (step @p920 :rule refl :args (@t12)) % 0.97/1.18 (step @p921 :rule eq_resolve :premises (@p920 @p919)) % 0.97/1.18 (step @p922 :rule refl :args (@t9)) % 0.97/1.18 (step @p923 :rule cong :premises (@p922 @p901) :args ((= @t9 @t845))) % 0.97/1.18 (step @p924 :rule symm :premises (@p923)) % 0.97/1.18 (step @p925 :rule eq_resolve :premises (@p922 @p924)) % 0.97/1.18 (step @p926 :rule refl :args (@t10)) % 0.97/1.18 (step @p927 :rule cong :premises (@p926 @p903) :args ((= @t10 @t858))) % 0.97/1.18 (step @p928 :rule symm :premises (@p927)) % 0.97/1.18 (step @p929 :rule eq_resolve :premises (@p926 @p928)) % 0.97/1.18 (step @p930 :rule refl :args (tptp.late_BoundR)) % 0.97/1.18 (step @p931 :rule ho_cong :premises (@p930 @p929)) % 0.97/1.18 (step @p932 :rule ho_cong :premises (@p931 @p880)) % 0.97/1.18 (step @p933 :rule ho_cong :premises (@p932 @p925)) % 0.97/1.18 (step @p934 :rule trans :premises (@p933 @p921)) % 0.97/1.18 (step @p935 :rule refl :args (@t13)) % 0.97/1.18 (step @p936 :rule cong :premises (@p935 @p906) :args ((= @t13 @t849))) % 0.97/1.18 (step @p937 :rule symm :premises (@p936)) % 0.97/1.18 (step @p938 :rule eq_resolve :premises (@p935 @p937)) % 0.97/1.18 (step @p939 :rule refl :args (tptp.late_transitions)) % 0.97/1.18 (step @p940 :rule ho_cong :premises (@p939 @p938)) % 0.97/1.18 (step @p941 :rule ho_cong :premises (@p940 @p934)) % 0.97/1.18 (step @p942 :rule trans :premises (@p941 @p914)) % 0.97/1.18 (step @p943 :rule eq_resolve :premises (@p14 @p942)) % 0.97/1.18 (step @p944 :rule refl :args ((tptp.late_transitions tptp.r @t5))) % 0.97/1.18 (step @p945 :rule refl :args ((tptp.late_BoundR @t4 tptp.x tptp.r2))) % 0.97/1.18 (step @p946 :rule refl :args (tptp.r2)) % 0.97/1.18 (step @p947 :rule refl :args (tptp.x)) % 0.97/1.18 (step @p948 :rule refl :args (@t854)) % 0.97/1.18 (step @p949 :rule cong :premises (@p948 @p947 @p946) :args (@t855)) % 0.97/1.18 (step @p950 :rule trans :premises (@p949 @p945)) % 0.97/1.18 (step @p951 :rule refl :args (tptp.r)) % 0.97/1.18 (step @p952 :rule cong :premises (@p951 @p950) :args (@t856)) % 0.97/1.18 (step @p953 :rule trans :premises (@p952 @p944)) % 0.97/1.18 (step @p954 :rule refl :args (@t6)) % 0.97/1.18 (step @p955 :rule ho_cong :premises (@p954 @p950)) % 0.97/1.18 (step @p956 :rule cong :premises (@p955 @p953) :args ((= (_ @t6 @t855) @t856))) % 0.97/1.18 (step @p957 :rule symm :premises (@p956)) % 0.97/1.18 (step @p958 :rule refl :args (@t7)) % 0.97/1.18 (step @p959 :rule eq_resolve :premises (@p958 @p957)) % 0.97/1.18 (step @p960 :rule ho_cong :premises (@p573 @p948)) % 0.97/1.18 (step @p961 :rule ho_cong :premises (@p960 @p947)) % 0.97/1.18 (step @p962 :rule ho_cong :premises (@p961 @p946)) % 0.97/1.18 (step @p963 :rule cong :premises (@p962 @p950) :args ((= (_ (_ (_ tptp.late_BoundR @t854) tptp.x) tptp.r2) @t855))) % 0.97/1.18 (step @p964 :rule symm :premises (@p963)) % 0.97/1.18 (step @p965 :rule refl :args (@t5)) % 0.97/1.18 (step @p966 :rule eq_resolve :premises (@p965 @p964)) % 0.97/1.18 (step @p967 :rule refl :args (tptp.x)) % 0.97/1.18 (step @p968 :rule refl :args (@t4)) % 0.97/1.18 (step @p969 :rule cong :premises (@p968 @p948) :args ((= @t4 @t854))) % 0.97/1.18 (step @p970 :rule symm :premises (@p969)) % 0.97/1.18 (step @p971 :rule eq_resolve :premises (@p968 @p970)) % 0.97/1.18 (step @p972 :rule ho_cong :premises (@p930 @p971)) % 0.97/1.18 (step @p973 :rule ho_cong :premises (@p972 @p967)) % 0.97/1.18 (step @p974 :rule ho_cong :premises (@p973 @p821)) % 0.97/1.18 (step @p975 :rule trans :premises (@p974 @p966)) % 0.97/1.18 (step @p976 :rule refl :args (@t6)) % 0.97/1.18 (step @p977 :rule ho_cong :premises (@p976 @p975)) % 0.97/1.18 (step @p978 :rule trans :premises (@p977 @p959)) % 0.97/1.18 (step @p979 :rule eq_resolve :premises (@p13 @p978)) % 0.97/1.18 (step @p980 :rule refl :args (@t852)) % 0.97/1.18 (step @p981 :rule refl :args (@t2)) % 0.97/1.18 (step @p982 :rule cong :premises (@p981 @p980) :args ((= @t2 @t852))) % 0.97/1.18 (step @p983 :rule symm :premises (@p982)) % 0.97/1.18 (step @p984 :rule eq_resolve :premises (@p981 @p983)) % 0.97/1.18 (step @p985 :rule eq_resolve :premises (@p4 @p984)) % 0.97/1.18 (step @p986 :rule cnf_or_pos :args (@t865)) % 0.97/1.18 (step @p987 :rule reordering :premises (@p986) :args ((or @t853 @t857 @t861 @t864 (not @t865)))) % 0.97/1.18 (step @p988 :rule chain_m_resolution :premises (@p987 @p985 @p979 @p943 @p898) :args (@t864 (@list false false false false) (@list @t852 @t856 @t860 @t865))) % 0.97/1.18 (step @p989 :rule true_intro :premises (@p988)) % 0.97/1.18 (step @p990 :rule aci_norm :args ((= (or @t867 false) @t867))) % 0.97/1.18 (step @p991 :rule evaluate :args ((not true))) % 0.97/1.18 (step @p992 :rule eq-refl :args (@t869)) % 0.97/1.18 (step @p993 :rule refl :args (@t869)) % 0.97/1.18 (step @p994 :rule beta-reduce :args (@t871)) % 0.97/1.18 (step @p995 :rule cong :premises (@p994 @p993) :args (@t871)) % 0.97/1.18 (step @p996 :rule trans :premises (@p995 @p992)) % 0.97/1.18 (step @p997 :rule refl :args (@t868)) % 0.97/1.18 (step @p998 :rule refl :args (@t870)) % 0.97/1.18 (step @p999 :rule ho_cong :premises (@p823 @p998 @p997)) % 0.97/1.18 (step @p1000 :rule cong :premises (@p999 @p993) :args ((= @t872 @t869))) % 0.97/1.18 (step @p1001 :rule trans :premises (@p1000 @p996)) % 0.97/1.18 (step @p1002 :rule true_elim :premises (@p1001)) % 0.97/1.18 (step @p1003 :rule refl :args (@t869)) % 0.97/1.18 (step @p1004 :rule refl :args (@t873)) % 0.97/1.18 (step @p1005 :rule cong :premises (@p1004 @p1003) :args ((= @t873 @t869))) % 0.97/1.18 (step @p1006 :rule symm :premises (@p1005)) % 0.97/1.18 (step @p1007 :rule eq_resolve :premises (@p1004 @p1006)) % 0.97/1.18 (step @p1008 :rule eq-refl :args (@t873)) % 0.97/1.18 (step @p1009 :rule refl :args (@t873)) % 0.97/1.18 (step @p1010 :rule beta-reduce :args (@t874)) % 0.97/1.18 (step @p1011 :rule cong :premises (@p1010 @p1009) :args (@t874)) % 0.97/1.18 (step @p1012 :rule trans :premises (@p1011 @p1008)) % 0.97/1.18 (step @p1013 :rule skolem_intro :args (@t866)) % 0.97/1.18 (step @p1014 :rule ho_cong :premises (@p1013 @p998 @p997)) % 0.97/1.18 (step @p1015 :rule cong :premises (@p1014 @p1009) :args ((= @t875 @t873))) % 0.97/1.18 (step @p1016 :rule trans :premises (@p1015 @p1012)) % 0.97/1.18 (step @p1017 :rule true_elim :premises (@p1016)) % 0.97/1.18 (step @p1018 :rule trans :premises (@p1017 @p1007)) % 0.97/1.18 (step @p1019 :rule cong :premises (@p1018 @p1002) :args (@t876)) % 0.97/1.18 (step @p1020 :rule trans :premises (@p1019 @p992)) % 0.97/1.18 (step @p1021 :rule cong :premises (@p1020) :args (@t877)) % 0.97/1.18 (step @p1022 :rule trans :premises (@p1021 @p991)) % 0.97/1.18 (step @p1023 :rule refl :args (@t867)) % 0.97/1.18 (step @p1024 :rule nary_cong :premises (@p1023 @p1022) :args (@t878)) % 0.97/1.18 (step @p1025 :rule trans :premises (@p1024 @p990)) % 0.97/1.18 ; WARNING: add trust step for TRUST % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1026 :rule trust :premises () :args (@t878)) % 0.97/1.18 (step @p1027 :rule eq_resolve :premises (@p1026 @p1025)) % 0.97/1.18 (step @p1028 :rule aci_norm :args ((= (or @t880 false) @t880))) % 0.97/1.18 (step @p1029 :rule eq-refl :args (@t883)) % 0.97/1.18 (step @p1030 :rule refl :args (@t883)) % 0.97/1.18 (step @p1031 :rule beta-reduce :args (@t885)) % 0.97/1.18 (step @p1032 :rule cong :premises (@p1031 @p1030) :args (@t885)) % 0.97/1.18 (step @p1033 :rule trans :premises (@p1032 @p1029)) % 0.97/1.18 (step @p1034 :rule refl :args (@t881)) % 0.97/1.18 (step @p1035 :rule refl :args (@t884)) % 0.97/1.18 (step @p1036 :rule refl :args (@t882)) % 0.97/1.18 (step @p1037 :rule ho_cong :premises (@p829 @p1036 @p1035 @p1034)) % 0.97/1.18 (step @p1038 :rule cong :premises (@p1037 @p1030) :args ((= @t886 @t883))) % 0.97/1.18 (step @p1039 :rule trans :premises (@p1038 @p1033)) % 0.97/1.18 (step @p1040 :rule true_elim :premises (@p1039)) % 0.97/1.18 (step @p1041 :rule refl :args (@t883)) % 0.97/1.18 (step @p1042 :rule refl :args (@t887)) % 0.97/1.18 (step @p1043 :rule cong :premises (@p1042 @p1041) :args ((= @t887 @t883))) % 0.97/1.18 (step @p1044 :rule symm :premises (@p1043)) % 0.97/1.18 (step @p1045 :rule eq_resolve :premises (@p1042 @p1044)) % 0.97/1.18 (step @p1046 :rule eq-refl :args (@t887)) % 0.97/1.18 (step @p1047 :rule refl :args (@t887)) % 0.97/1.18 (step @p1048 :rule beta-reduce :args (@t888)) % 0.97/1.18 (step @p1049 :rule cong :premises (@p1048 @p1047) :args (@t888)) % 0.97/1.18 (step @p1050 :rule trans :premises (@p1049 @p1046)) % 0.97/1.18 (step @p1051 :rule skolem_intro :args (@t879)) % 0.97/1.18 (step @p1052 :rule ho_cong :premises (@p1051 @p1036 @p1035 @p1034)) % 0.97/1.18 (step @p1053 :rule cong :premises (@p1052 @p1047) :args ((= @t889 @t887))) % 0.97/1.18 (step @p1054 :rule trans :premises (@p1053 @p1050)) % 0.97/1.18 (step @p1055 :rule true_elim :premises (@p1054)) % 0.97/1.18 (step @p1056 :rule trans :premises (@p1055 @p1045)) % 0.97/1.18 (step @p1057 :rule cong :premises (@p1056 @p1040) :args (@t890)) % 0.97/1.18 (step @p1058 :rule trans :premises (@p1057 @p1029)) % 0.97/1.18 (step @p1059 :rule cong :premises (@p1058) :args (@t891)) % 0.97/1.18 (step @p1060 :rule trans :premises (@p1059 @p991)) % 0.97/1.18 (step @p1061 :rule refl :args (@t880)) % 0.97/1.18 (step @p1062 :rule nary_cong :premises (@p1061 @p1060) :args (@t892)) % 0.97/1.18 (step @p1063 :rule trans :premises (@p1062 @p1028)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1064 :rule trust :premises () :args (@t892)) % 0.97/1.18 (step @p1065 :rule eq_resolve :premises (@p1064 @p1063)) % 0.97/1.18 (step @p1066 :rule aci_norm :args ((= (or @t894 false) @t894))) % 0.97/1.18 (step @p1067 :rule eq-refl :args (@t897)) % 0.97/1.18 (step @p1068 :rule refl :args (@t897)) % 0.97/1.18 (step @p1069 :rule beta-reduce :args (@t900)) % 0.97/1.18 (step @p1070 :rule cong :premises (@p1069 @p1068) :args (@t900)) % 0.97/1.18 (step @p1071 :rule trans :premises (@p1070 @p1067)) % 0.97/1.18 (step @p1072 :rule refl :args (@t895)) % 0.97/1.18 (step @p1073 :rule refl :args (@t896)) % 0.97/1.18 (step @p1074 :rule refl :args (@t898)) % 0.97/1.18 (step @p1075 :rule refl :args (@t899)) % 0.97/1.18 (step @p1076 :rule ho_cong :premises (@p835 @p1075 @p1074 @p1073 @p1072)) % 0.97/1.18 (step @p1077 :rule cong :premises (@p1076 @p1068) :args ((= @t901 @t897))) % 0.97/1.18 (step @p1078 :rule trans :premises (@p1077 @p1071)) % 0.97/1.18 (step @p1079 :rule true_elim :premises (@p1078)) % 0.97/1.18 (step @p1080 :rule refl :args (@t897)) % 0.97/1.18 (step @p1081 :rule refl :args (@t902)) % 0.97/1.18 (step @p1082 :rule cong :premises (@p1081 @p1080) :args ((= @t902 @t897))) % 0.97/1.18 (step @p1083 :rule symm :premises (@p1082)) % 0.97/1.18 (step @p1084 :rule eq_resolve :premises (@p1081 @p1083)) % 0.97/1.18 (step @p1085 :rule eq-refl :args (@t902)) % 0.97/1.18 (step @p1086 :rule refl :args (@t902)) % 0.97/1.18 (step @p1087 :rule beta-reduce :args (@t903)) % 0.97/1.18 (step @p1088 :rule cong :premises (@p1087 @p1086) :args (@t903)) % 0.97/1.18 (step @p1089 :rule trans :premises (@p1088 @p1085)) % 0.97/1.18 (step @p1090 :rule skolem_intro :args (@t893)) % 0.97/1.18 (step @p1091 :rule ho_cong :premises (@p1090 @p1075 @p1074 @p1073 @p1072)) % 0.97/1.18 (step @p1092 :rule cong :premises (@p1091 @p1086) :args ((= @t904 @t902))) % 0.97/1.18 (step @p1093 :rule trans :premises (@p1092 @p1089)) % 0.97/1.18 (step @p1094 :rule true_elim :premises (@p1093)) % 0.97/1.18 (step @p1095 :rule trans :premises (@p1094 @p1084)) % 0.97/1.18 (step @p1096 :rule cong :premises (@p1095 @p1079) :args (@t905)) % 0.97/1.18 (step @p1097 :rule trans :premises (@p1096 @p1067)) % 0.97/1.18 (step @p1098 :rule cong :premises (@p1097) :args (@t906)) % 0.97/1.18 (step @p1099 :rule trans :premises (@p1098 @p991)) % 0.97/1.18 (step @p1100 :rule refl :args (@t894)) % 0.97/1.18 (step @p1101 :rule nary_cong :premises (@p1100 @p1099) :args (@t907)) % 0.97/1.18 (step @p1102 :rule trans :premises (@p1101 @p1066)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1103 :rule trust :premises () :args (@t907)) % 0.97/1.18 (step @p1104 :rule eq_resolve :premises (@p1103 @p1102)) % 0.97/1.18 (step @p1105 :rule aci_norm :args ((= (or @t909 false) @t909))) % 0.97/1.18 (step @p1106 :rule eq-refl :args (@t912)) % 0.97/1.18 (step @p1107 :rule refl :args (@t912)) % 0.97/1.18 (step @p1108 :rule beta-reduce :args (@t915)) % 0.97/1.18 (step @p1109 :rule cong :premises (@p1108 @p1107) :args (@t915)) % 0.97/1.18 (step @p1110 :rule trans :premises (@p1109 @p1106)) % 0.97/1.18 (step @p1111 :rule refl :args (@t910)) % 0.97/1.18 (step @p1112 :rule refl :args (@t911)) % 0.97/1.18 (step @p1113 :rule refl :args (@t913)) % 0.97/1.18 (step @p1114 :rule refl :args (@t914)) % 0.97/1.18 (step @p1115 :rule ho_cong :premises (@p841 @p1114 @p1113 @p1112 @p1111)) % 0.97/1.18 (step @p1116 :rule cong :premises (@p1115 @p1107) :args ((= @t916 @t912))) % 0.97/1.18 (step @p1117 :rule trans :premises (@p1116 @p1110)) % 0.97/1.18 (step @p1118 :rule true_elim :premises (@p1117)) % 0.97/1.18 (step @p1119 :rule refl :args (@t912)) % 0.97/1.18 (step @p1120 :rule refl :args (@t917)) % 0.97/1.18 (step @p1121 :rule cong :premises (@p1120 @p1119) :args ((= @t917 @t912))) % 0.97/1.18 (step @p1122 :rule symm :premises (@p1121)) % 0.97/1.18 (step @p1123 :rule eq_resolve :premises (@p1120 @p1122)) % 0.97/1.18 (step @p1124 :rule eq-refl :args (@t917)) % 0.97/1.18 (step @p1125 :rule refl :args (@t917)) % 0.97/1.18 (step @p1126 :rule beta-reduce :args (@t918)) % 0.97/1.18 (step @p1127 :rule cong :premises (@p1126 @p1125) :args (@t918)) % 0.97/1.18 (step @p1128 :rule trans :premises (@p1127 @p1124)) % 0.97/1.18 (step @p1129 :rule skolem_intro :args (@t908)) % 0.97/1.18 (step @p1130 :rule ho_cong :premises (@p1129 @p1114 @p1113 @p1112 @p1111)) % 0.97/1.18 (step @p1131 :rule cong :premises (@p1130 @p1125) :args ((= @t919 @t917))) % 0.97/1.18 (step @p1132 :rule trans :premises (@p1131 @p1128)) % 0.97/1.18 (step @p1133 :rule true_elim :premises (@p1132)) % 0.97/1.18 (step @p1134 :rule trans :premises (@p1133 @p1123)) % 0.97/1.18 (step @p1135 :rule cong :premises (@p1134 @p1118) :args (@t920)) % 0.97/1.18 (step @p1136 :rule trans :premises (@p1135 @p1106)) % 0.97/1.18 (step @p1137 :rule cong :premises (@p1136) :args (@t921)) % 0.97/1.18 (step @p1138 :rule trans :premises (@p1137 @p991)) % 0.97/1.18 (step @p1139 :rule refl :args (@t909)) % 0.97/1.18 (step @p1140 :rule nary_cong :premises (@p1139 @p1138) :args (@t922)) % 0.97/1.18 (step @p1141 :rule trans :premises (@p1140 @p1105)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1142 :rule trust :premises () :args (@t922)) % 0.97/1.18 (step @p1143 :rule eq_resolve :premises (@p1142 @p1141)) % 0.97/1.18 (step @p1144 :rule aci_norm :args ((= (or @t929 false) @t929))) % 0.97/1.18 (step @p1145 :rule eq-refl :args (@t939)) % 0.97/1.18 (step @p1146 :rule refl :args (@t930)) % 0.97/1.18 (step @p1147 :rule refl :args (@t931)) % 0.97/1.18 (step @p1148 :rule eq-refl :args (@t932)) % 0.97/1.18 (step @p1149 :rule skolem_intro :args (@t933)) % 0.97/1.18 (step @p1150 :rule refl :args (@t932)) % 0.97/1.18 (step @p1151 :rule cong :premises (@p1150 @p1149) :args ((= @t932 @t933))) % 0.97/1.18 (step @p1152 :rule trans :premises (@p1151 @p1148)) % 0.97/1.18 (step @p1153 :rule true_elim :premises (@p1152)) % 0.97/1.18 (step @p1154 :rule cong :premises (@p1153 @p880 @p1147) :args (@t940)) % 0.97/1.18 (step @p1155 :rule refl :args (@t935)) % 0.97/1.18 (step @p1156 :rule eq-refl :args (@t936)) % 0.97/1.18 (step @p1157 :rule skolem_intro :args (@t937)) % 0.97/1.18 (step @p1158 :rule refl :args (@t936)) % 0.97/1.18 (step @p1159 :rule cong :premises (@p1158 @p1157) :args ((= @t936 @t937))) % 0.97/1.18 (step @p1160 :rule trans :premises (@p1159 @p1156)) % 0.97/1.18 (step @p1161 :rule true_elim :premises (@p1160)) % 0.97/1.18 (step @p1162 :rule cong :premises (@p1161 @p880 @p1155) :args (@t941)) % 0.97/1.18 (step @p1163 :rule cong :premises (@p1162 @p1154 @p1146) :args (@t942)) % 0.97/1.18 (step @p1164 :rule eq-refl :args (@t942)) % 0.97/1.18 (step @p1165 :rule refl :args (@t942)) % 0.97/1.18 (step @p1166 :rule beta-reduce :args (@t944)) % 0.97/1.18 (step @p1167 :rule cong :premises (@p1166 @p1165) :args (@t944)) % 0.97/1.18 (step @p1168 :rule trans :premises (@p1167 @p1164)) % 0.97/1.18 (step @p1169 :rule refl :args (@t943)) % 0.97/1.18 (step @p1170 :rule ho_cong :premises (@p847 @p1155 @p1147 @p1169 @p1146)) % 0.97/1.18 (step @p1171 :rule cong :premises (@p1170 @p1165) :args ((= @t945 @t942))) % 0.97/1.18 (step @p1172 :rule trans :premises (@p1171 @p1168)) % 0.97/1.18 (step @p1173 :rule true_elim :premises (@p1172)) % 0.97/1.18 (step @p1174 :rule trans :premises (@p1173 @p1163)) % 0.97/1.18 (step @p1175 :rule refl :args ((tptp.mismatch @t947 @t946 @t930))) % 0.97/1.18 (step @p1176 :rule refl :args (@t930)) % 0.97/1.18 (step @p1177 :rule refl :args (@t934)) % 0.97/1.18 (step @p1178 :rule refl :args (@t938)) % 0.97/1.18 (step @p1179 :rule cong :premises (@p1178 @p1177 @p1176) :args (@t939)) % 0.97/1.18 (step @p1180 :rule trans :premises (@p1179 @p1175)) % 0.97/1.18 (step @p1181 :rule ho_cong :premises (@p463 @p1178)) % 0.97/1.18 (step @p1182 :rule ho_cong :premises (@p1181 @p1177)) % 0.97/1.18 (step @p1183 :rule ho_cong :premises (@p1182 @p1176)) % 0.97/1.18 (step @p1184 :rule cong :premises (@p1183 @p1180) :args ((= (_ (_ (_ tptp.mismatch @t938) @t934) @t930) @t939))) % 0.97/1.18 (step @p1185 :rule symm :premises (@p1184)) % 0.97/1.18 (step @p1186 :rule refl :args ((_ (_ (_ tptp.mismatch @t947) @t946) @t930))) % 0.97/1.18 (step @p1187 :rule eq_resolve :premises (@p1186 @p1185)) % 0.97/1.18 (step @p1188 :rule refl :args (@t946)) % 0.97/1.18 (step @p1189 :rule cong :premises (@p1188 @p1177) :args ((= @t946 @t934))) % 0.97/1.18 (step @p1190 :rule symm :premises (@p1189)) % 0.97/1.18 (step @p1191 :rule eq_resolve :premises (@p1188 @p1190)) % 0.97/1.18 (step @p1192 :rule ho_cong :premises (@p652 @p1153)) % 0.97/1.18 (step @p1193 :rule ho_cong :premises (@p1192 @p880)) % 0.97/1.18 (step @p1194 :rule ho_cong :premises (@p1193 @p1147)) % 0.97/1.18 (step @p1195 :rule trans :premises (@p1194 @p1191)) % 0.97/1.18 (step @p1196 :rule refl :args (@t947)) % 0.97/1.18 (step @p1197 :rule cong :premises (@p1196 @p1178) :args ((= @t947 @t938))) % 0.97/1.18 (step @p1198 :rule symm :premises (@p1197)) % 0.97/1.18 (step @p1199 :rule eq_resolve :premises (@p1196 @p1198)) % 0.97/1.18 (step @p1200 :rule ho_cong :premises (@p652 @p1161)) % 0.97/1.18 (step @p1201 :rule ho_cong :premises (@p1200 @p880)) % 0.97/1.18 (step @p1202 :rule ho_cong :premises (@p1201 @p1155)) % 0.97/1.18 (step @p1203 :rule trans :premises (@p1202 @p1199)) % 0.97/1.18 (step @p1204 :rule ho_cong :premises (@p661 @p1203)) % 0.97/1.18 (step @p1205 :rule ho_cong :premises (@p1204 @p1195)) % 0.97/1.18 (step @p1206 :rule ho_cong :premises (@p1205 @p1146)) % 0.97/1.18 (step @p1207 :rule trans :premises (@p1206 @p1187)) % 0.97/1.18 (step @p1208 :rule eq-refl :args (@t948)) % 0.97/1.18 (step @p1209 :rule refl :args (@t948)) % 0.97/1.18 (step @p1210 :rule beta-reduce :args (@t949)) % 0.97/1.18 (step @p1211 :rule cong :premises (@p1210 @p1209) :args (@t949)) % 0.97/1.18 (step @p1212 :rule trans :premises (@p1211 @p1208)) % 0.97/1.18 (step @p1213 :rule skolem_intro :args (@t928)) % 0.97/1.18 (step @p1214 :rule ho_cong :premises (@p1213 @p1155 @p1147 @p1169 @p1146)) % 0.97/1.18 (step @p1215 :rule cong :premises (@p1214 @p1209) :args ((= @t950 @t948))) % 0.97/1.18 (step @p1216 :rule trans :premises (@p1215 @p1212)) % 0.97/1.18 (step @p1217 :rule true_elim :premises (@p1216)) % 0.97/1.18 (step @p1218 :rule trans :premises (@p1217 @p1207)) % 0.97/1.18 (step @p1219 :rule cong :premises (@p1218 @p1174) :args (@t951)) % 0.97/1.18 (step @p1220 :rule trans :premises (@p1219 @p1145)) % 0.97/1.18 (step @p1221 :rule cong :premises (@p1220) :args (@t952)) % 0.97/1.18 (step @p1222 :rule trans :premises (@p1221 @p991)) % 0.97/1.18 (step @p1223 :rule refl :args (@t929)) % 0.97/1.18 (step @p1224 :rule nary_cong :premises (@p1223 @p1222) :args (@t953)) % 0.97/1.18 (step @p1225 :rule trans :premises (@p1224 @p1144)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1226 :rule trust :premises () :args (@t953)) % 0.97/1.18 (step @p1227 :rule eq_resolve :premises (@p1226 @p1225)) % 0.97/1.18 (step @p1228 :rule aci_norm :args ((= (or @t956 false) @t956))) % 0.97/1.18 (step @p1229 :rule eq-refl :args (@t966)) % 0.97/1.18 (step @p1230 :rule refl :args (@t957)) % 0.97/1.18 (step @p1231 :rule refl :args (@t958)) % 0.97/1.18 (step @p1232 :rule eq-refl :args (@t959)) % 0.97/1.18 (step @p1233 :rule skolem_intro :args (@t960)) % 0.97/1.18 (step @p1234 :rule refl :args (@t959)) % 0.97/1.18 (step @p1235 :rule cong :premises (@p1234 @p1233) :args ((= @t959 @t960))) % 0.97/1.18 (step @p1236 :rule trans :premises (@p1235 @p1232)) % 0.97/1.18 (step @p1237 :rule true_elim :premises (@p1236)) % 0.97/1.18 (step @p1238 :rule cong :premises (@p1237 @p880 @p1231) :args (@t967)) % 0.97/1.18 (step @p1239 :rule refl :args (@t962)) % 0.97/1.18 (step @p1240 :rule eq-refl :args (@t963)) % 0.97/1.18 (step @p1241 :rule skolem_intro :args (@t964)) % 0.97/1.18 (step @p1242 :rule refl :args (@t963)) % 0.97/1.18 (step @p1243 :rule cong :premises (@p1242 @p1241) :args ((= @t963 @t964))) % 0.97/1.18 (step @p1244 :rule trans :premises (@p1243 @p1240)) % 0.97/1.18 (step @p1245 :rule true_elim :premises (@p1244)) % 0.97/1.18 (step @p1246 :rule cong :premises (@p1245 @p880 @p1239) :args (@t968)) % 0.97/1.18 (step @p1247 :rule cong :premises (@p1246 @p1238 @p1230) :args (@t969)) % 0.97/1.18 (step @p1248 :rule eq-refl :args (@t969)) % 0.97/1.18 (step @p1249 :rule refl :args (@t969)) % 0.97/1.18 (step @p1250 :rule beta-reduce :args (@t971)) % 0.97/1.18 (step @p1251 :rule cong :premises (@p1250 @p1249) :args (@t971)) % 0.97/1.18 (step @p1252 :rule trans :premises (@p1251 @p1248)) % 0.97/1.18 (step @p1253 :rule refl :args (@t970)) % 0.97/1.18 (step @p1254 :rule ho_cong :premises (@p853 @p1239 @p1231 @p1253 @p1230)) % 0.97/1.18 (step @p1255 :rule cong :premises (@p1254 @p1249) :args ((= @t972 @t969))) % 0.97/1.18 (step @p1256 :rule trans :premises (@p1255 @p1252)) % 0.97/1.18 (step @p1257 :rule true_elim :premises (@p1256)) % 0.97/1.18 (step @p1258 :rule trans :premises (@p1257 @p1247)) % 0.97/1.18 (step @p1259 :rule refl :args ((tptp.match @t974 @t973 @t957))) % 0.97/1.18 (step @p1260 :rule refl :args (@t957)) % 0.97/1.18 (step @p1261 :rule refl :args (@t961)) % 0.97/1.18 (step @p1262 :rule refl :args (@t965)) % 0.97/1.18 (step @p1263 :rule cong :premises (@p1262 @p1261 @p1260) :args (@t966)) % 0.97/1.18 (step @p1264 :rule trans :premises (@p1263 @p1259)) % 0.97/1.18 (step @p1265 :rule ho_cong :premises (@p484 @p1262)) % 0.97/1.18 (step @p1266 :rule ho_cong :premises (@p1265 @p1261)) % 0.97/1.18 (step @p1267 :rule ho_cong :premises (@p1266 @p1260)) % 0.97/1.18 (step @p1268 :rule cong :premises (@p1267 @p1264) :args ((= (_ (_ (_ tptp.match @t965) @t961) @t957) @t966))) % 0.97/1.18 (step @p1269 :rule symm :premises (@p1268)) % 0.97/1.18 (step @p1270 :rule refl :args ((_ (_ (_ tptp.match @t974) @t973) @t957))) % 0.97/1.18 (step @p1271 :rule eq_resolve :premises (@p1270 @p1269)) % 0.97/1.18 (step @p1272 :rule refl :args (@t973)) % 0.97/1.18 (step @p1273 :rule cong :premises (@p1272 @p1261) :args ((= @t973 @t961))) % 0.97/1.18 (step @p1274 :rule symm :premises (@p1273)) % 0.97/1.18 (step @p1275 :rule eq_resolve :premises (@p1272 @p1274)) % 0.97/1.18 (step @p1276 :rule ho_cong :premises (@p652 @p1237)) % 0.97/1.18 (step @p1277 :rule ho_cong :premises (@p1276 @p880)) % 0.97/1.18 (step @p1278 :rule ho_cong :premises (@p1277 @p1231)) % 0.97/1.18 (step @p1279 :rule trans :premises (@p1278 @p1275)) % 0.97/1.18 (step @p1280 :rule refl :args (@t974)) % 0.97/1.18 (step @p1281 :rule cong :premises (@p1280 @p1262) :args ((= @t974 @t965))) % 0.97/1.18 (step @p1282 :rule symm :premises (@p1281)) % 0.97/1.18 (step @p1283 :rule eq_resolve :premises (@p1280 @p1282)) % 0.97/1.18 (step @p1284 :rule ho_cong :premises (@p652 @p1245)) % 0.97/1.18 (step @p1285 :rule ho_cong :premises (@p1284 @p880)) % 0.97/1.18 (step @p1286 :rule ho_cong :premises (@p1285 @p1239)) % 0.97/1.18 (step @p1287 :rule trans :premises (@p1286 @p1283)) % 0.97/1.18 (step @p1288 :rule ho_cong :premises (@p666 @p1287)) % 0.97/1.18 (step @p1289 :rule ho_cong :premises (@p1288 @p1279)) % 0.97/1.18 (step @p1290 :rule ho_cong :premises (@p1289 @p1230)) % 0.97/1.18 (step @p1291 :rule trans :premises (@p1290 @p1271)) % 0.97/1.18 (step @p1292 :rule eq-refl :args (@t975)) % 0.97/1.18 (step @p1293 :rule refl :args (@t975)) % 0.97/1.18 (step @p1294 :rule beta-reduce :args (@t976)) % 0.97/1.18 (step @p1295 :rule cong :premises (@p1294 @p1293) :args (@t976)) % 0.97/1.18 (step @p1296 :rule trans :premises (@p1295 @p1292)) % 0.97/1.18 (step @p1297 :rule skolem_intro :args (@t955)) % 0.97/1.18 (step @p1298 :rule ho_cong :premises (@p1297 @p1239 @p1231 @p1253 @p1230)) % 0.97/1.18 (step @p1299 :rule cong :premises (@p1298 @p1293) :args ((= @t977 @t975))) % 0.97/1.18 (step @p1300 :rule trans :premises (@p1299 @p1296)) % 0.97/1.18 (step @p1301 :rule true_elim :premises (@p1300)) % 0.97/1.18 (step @p1302 :rule trans :premises (@p1301 @p1291)) % 0.97/1.18 (step @p1303 :rule cong :premises (@p1302 @p1258) :args (@t978)) % 0.97/1.18 (step @p1304 :rule trans :premises (@p1303 @p1229)) % 0.97/1.18 (step @p1305 :rule cong :premises (@p1304) :args (@t979)) % 0.97/1.18 (step @p1306 :rule trans :premises (@p1305 @p991)) % 0.97/1.18 (step @p1307 :rule refl :args (@t956)) % 0.97/1.18 (step @p1308 :rule nary_cong :premises (@p1307 @p1306) :args (@t980)) % 0.97/1.18 (step @p1309 :rule trans :premises (@p1308 @p1228)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1310 :rule trust :premises () :args (@t980)) % 0.97/1.18 (step @p1311 :rule eq_resolve :premises (@p1310 @p1309)) % 0.97/1.18 (step @p1312 :rule aci_norm :args ((= (or @t983 false) @t983))) % 0.97/1.18 (step @p1313 :rule eq-refl :args (@t990)) % 0.97/1.18 (step @p1314 :rule refl :args (@t984)) % 0.97/1.18 (step @p1315 :rule refl :args (@t985)) % 0.97/1.18 (step @p1316 :rule refl :args (@t986)) % 0.97/1.18 (step @p1317 :rule eq-refl :args (@t987)) % 0.97/1.18 (step @p1318 :rule skolem_intro :args (@t988)) % 0.97/1.18 (step @p1319 :rule refl :args (@t987)) % 0.97/1.18 (step @p1320 :rule cong :premises (@p1319 @p1318) :args ((= @t987 @t988))) % 0.97/1.18 (step @p1321 :rule trans :premises (@p1320 @p1317)) % 0.97/1.18 (step @p1322 :rule true_elim :premises (@p1321)) % 0.97/1.18 (step @p1323 :rule cong :premises (@p1322 @p880 @p1316) :args (@t991)) % 0.97/1.18 (step @p1324 :rule cong :premises (@p1323 @p1315 @p1314) :args (@t992)) % 0.97/1.18 (step @p1325 :rule eq-refl :args (@t992)) % 0.97/1.18 (step @p1326 :rule refl :args (@t992)) % 0.97/1.18 (step @p1327 :rule beta-reduce :args (@t994)) % 0.97/1.18 (step @p1328 :rule cong :premises (@p1327 @p1326) :args (@t994)) % 0.97/1.18 (step @p1329 :rule trans :premises (@p1328 @p1325)) % 0.97/1.18 (step @p1330 :rule refl :args (@t993)) % 0.97/1.18 (step @p1331 :rule ho_cong :premises (@p859 @p1316 @p1315 @p1330 @p1314)) % 0.97/1.18 (step @p1332 :rule cong :premises (@p1331 @p1326) :args ((= @t995 @t992))) % 0.97/1.18 (step @p1333 :rule trans :premises (@p1332 @p1329)) % 0.97/1.18 (step @p1334 :rule true_elim :premises (@p1333)) % 0.97/1.18 (step @p1335 :rule trans :premises (@p1334 @p1324)) % 0.97/1.18 (step @p1336 :rule refl :args ((tptp.input @t996 @t985 @t984))) % 0.97/1.18 (step @p1337 :rule refl :args (@t984)) % 0.97/1.18 (step @p1338 :rule refl :args (@t985)) % 0.97/1.18 (step @p1339 :rule refl :args (@t989)) % 0.97/1.18 (step @p1340 :rule cong :premises (@p1339 @p1338 @p1337) :args (@t990)) % 0.97/1.18 (step @p1341 :rule trans :premises (@p1340 @p1336)) % 0.97/1.18 (step @p1342 :rule ho_cong :premises (@p497 @p1339)) % 0.97/1.18 (step @p1343 :rule ho_cong :premises (@p1342 @p1338)) % 0.97/1.18 (step @p1344 :rule ho_cong :premises (@p1343 @p1337)) % 0.97/1.18 (step @p1345 :rule cong :premises (@p1344 @p1341) :args ((= (_ (_ (_ tptp.input @t989) @t985) @t984) @t990))) % 0.97/1.18 (step @p1346 :rule symm :premises (@p1345)) % 0.97/1.18 (step @p1347 :rule refl :args ((_ (_ (_ tptp.input @t996) @t985) @t984))) % 0.97/1.18 (step @p1348 :rule eq_resolve :premises (@p1347 @p1346)) % 0.97/1.18 (step @p1349 :rule refl :args (@t996)) % 0.97/1.18 (step @p1350 :rule cong :premises (@p1349 @p1339) :args ((= @t996 @t989))) % 0.97/1.18 (step @p1351 :rule symm :premises (@p1350)) % 0.97/1.18 (step @p1352 :rule eq_resolve :premises (@p1349 @p1351)) % 0.97/1.18 (step @p1353 :rule ho_cong :premises (@p652 @p1322)) % 0.97/1.18 (step @p1354 :rule ho_cong :premises (@p1353 @p880)) % 0.97/1.18 (step @p1355 :rule ho_cong :premises (@p1354 @p1316)) % 0.97/1.18 (step @p1356 :rule trans :premises (@p1355 @p1352)) % 0.97/1.18 (step @p1357 :rule ho_cong :premises (@p672 @p1356)) % 0.97/1.18 (step @p1358 :rule ho_cong :premises (@p1357 @p1315)) % 0.97/1.18 (step @p1359 :rule ho_cong :premises (@p1358 @p1314)) % 0.97/1.18 (step @p1360 :rule trans :premises (@p1359 @p1348)) % 0.97/1.18 (step @p1361 :rule eq-refl :args (@t997)) % 0.97/1.18 (step @p1362 :rule refl :args (@t997)) % 0.97/1.18 (step @p1363 :rule beta-reduce :args (@t998)) % 0.97/1.18 (step @p1364 :rule cong :premises (@p1363 @p1362) :args (@t998)) % 0.97/1.18 (step @p1365 :rule trans :premises (@p1364 @p1361)) % 0.97/1.18 (step @p1366 :rule skolem_intro :args (@t982)) % 0.97/1.18 (step @p1367 :rule ho_cong :premises (@p1366 @p1316 @p1315 @p1330 @p1314)) % 0.97/1.18 (step @p1368 :rule cong :premises (@p1367 @p1362) :args ((= @t999 @t997))) % 0.97/1.18 (step @p1369 :rule trans :premises (@p1368 @p1365)) % 0.97/1.18 (step @p1370 :rule true_elim :premises (@p1369)) % 0.97/1.18 (step @p1371 :rule trans :premises (@p1370 @p1360)) % 0.97/1.18 (step @p1372 :rule cong :premises (@p1371 @p1335) :args (@t1000)) % 0.97/1.18 (step @p1373 :rule trans :premises (@p1372 @p1313)) % 0.97/1.18 (step @p1374 :rule cong :premises (@p1373) :args (@t1001)) % 0.97/1.18 (step @p1375 :rule trans :premises (@p1374 @p991)) % 0.97/1.18 (step @p1376 :rule refl :args (@t983)) % 0.97/1.18 (step @p1377 :rule nary_cong :premises (@p1376 @p1375) :args (@t1002)) % 0.97/1.18 (step @p1378 :rule trans :premises (@p1377 @p1312)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1379 :rule trust :premises () :args (@t1002)) % 0.97/1.18 (step @p1380 :rule eq_resolve :premises (@p1379 @p1378)) % 0.97/1.18 (step @p1381 :rule aci_norm :args ((= (or @t1004 false) @t1004))) % 0.97/1.18 (step @p1382 :rule eq-refl :args (@t1006)) % 0.97/1.18 (step @p1383 :rule refl :args (@t1006)) % 0.97/1.18 (step @p1384 :rule beta-reduce :args (@t1008)) % 0.97/1.18 (step @p1385 :rule cong :premises (@p1384 @p1383) :args (@t1008)) % 0.97/1.18 (step @p1386 :rule trans :premises (@p1385 @p1382)) % 0.97/1.18 (step @p1387 :rule refl :args (@t1005)) % 0.97/1.18 (step @p1388 :rule refl :args (@t1007)) % 0.97/1.18 (step @p1389 :rule ho_cong :premises (@p865 @p1388 @p1387)) % 0.97/1.18 (step @p1390 :rule cong :premises (@p1389 @p1383) :args ((= @t1009 @t1006))) % 0.97/1.18 (step @p1391 :rule trans :premises (@p1390 @p1386)) % 0.97/1.18 (step @p1392 :rule true_elim :premises (@p1391)) % 0.97/1.18 (step @p1393 :rule refl :args (@t1006)) % 0.97/1.18 (step @p1394 :rule refl :args (@t1010)) % 0.97/1.18 (step @p1395 :rule cong :premises (@p1394 @p1393) :args ((= @t1010 @t1006))) % 0.97/1.18 (step @p1396 :rule symm :premises (@p1395)) % 0.97/1.18 (step @p1397 :rule eq_resolve :premises (@p1394 @p1396)) % 0.97/1.18 (step @p1398 :rule eq-refl :args (@t1010)) % 0.97/1.18 (step @p1399 :rule refl :args (@t1010)) % 0.97/1.18 (step @p1400 :rule beta-reduce :args (@t1011)) % 0.97/1.18 (step @p1401 :rule cong :premises (@p1400 @p1399) :args (@t1011)) % 0.97/1.18 (step @p1402 :rule trans :premises (@p1401 @p1398)) % 0.97/1.18 (step @p1403 :rule skolem_intro :args (@t1003)) % 0.97/1.18 (step @p1404 :rule ho_cong :premises (@p1403 @p1388 @p1387)) % 0.97/1.18 (step @p1405 :rule cong :premises (@p1404 @p1399) :args ((= @t1012 @t1010))) % 0.97/1.18 (step @p1406 :rule trans :premises (@p1405 @p1402)) % 0.97/1.18 (step @p1407 :rule true_elim :premises (@p1406)) % 0.97/1.18 (step @p1408 :rule trans :premises (@p1407 @p1397)) % 0.97/1.18 (step @p1409 :rule cong :premises (@p1408 @p1392) :args (@t1013)) % 0.97/1.18 (step @p1410 :rule trans :premises (@p1409 @p1382)) % 0.97/1.18 (step @p1411 :rule cong :premises (@p1410) :args (@t1014)) % 0.97/1.18 (step @p1412 :rule trans :premises (@p1411 @p991)) % 0.97/1.18 (step @p1413 :rule refl :args (@t1004)) % 0.97/1.18 (step @p1414 :rule nary_cong :premises (@p1413 @p1412) :args (@t1015)) % 0.97/1.18 (step @p1415 :rule trans :premises (@p1414 @p1381)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1416 :rule trust :premises () :args (@t1015)) % 0.97/1.18 (step @p1417 :rule eq_resolve :premises (@p1416 @p1415)) % 0.97/1.18 (step @p1418 :rule aci_norm :args ((= (or @t1018 false) @t1018))) % 0.97/1.18 (step @p1419 :rule eq-refl :args (@t1028)) % 0.97/1.18 (step @p1420 :rule refl :args (@t1019)) % 0.97/1.18 (step @p1421 :rule refl :args (@t1020)) % 0.97/1.18 (step @p1422 :rule eq-refl :args (@t1021)) % 0.97/1.18 (step @p1423 :rule skolem_intro :args (@t1022)) % 0.97/1.18 (step @p1424 :rule refl :args (@t1021)) % 0.97/1.18 (step @p1425 :rule cong :premises (@p1424 @p1423) :args ((= @t1021 @t1022))) % 0.97/1.18 (step @p1426 :rule trans :premises (@p1425 @p1422)) % 0.97/1.18 (step @p1427 :rule true_elim :premises (@p1426)) % 0.97/1.18 (step @p1428 :rule cong :premises (@p1427 @p880 @p1421) :args (@t1029)) % 0.97/1.18 (step @p1429 :rule refl :args (@t1024)) % 0.97/1.18 (step @p1430 :rule eq-refl :args (@t1025)) % 0.97/1.18 (step @p1431 :rule skolem_intro :args (@t1026)) % 0.97/1.18 (step @p1432 :rule refl :args (@t1025)) % 0.97/1.18 (step @p1433 :rule cong :premises (@p1432 @p1431) :args ((= @t1025 @t1026))) % 0.97/1.18 (step @p1434 :rule trans :premises (@p1433 @p1430)) % 0.97/1.18 (step @p1435 :rule true_elim :premises (@p1434)) % 0.97/1.18 (step @p1436 :rule cong :premises (@p1435 @p880 @p1429) :args (@t1030)) % 0.97/1.18 (step @p1437 :rule cong :premises (@p1436 @p1428 @p1420) :args (@t1031)) % 0.97/1.18 (step @p1438 :rule eq-refl :args (@t1031)) % 0.97/1.18 (step @p1439 :rule refl :args (@t1031)) % 0.97/1.18 (step @p1440 :rule beta-reduce :args (@t1033)) % 0.97/1.18 (step @p1441 :rule cong :premises (@p1440 @p1439) :args (@t1033)) % 0.97/1.18 (step @p1442 :rule trans :premises (@p1441 @p1438)) % 0.97/1.18 (step @p1443 :rule refl :args (@t1032)) % 0.97/1.18 (step @p1444 :rule ho_cong :premises (@p871 @p1429 @p1421 @p1443 @p1420)) % 0.97/1.18 (step @p1445 :rule cong :premises (@p1444 @p1439) :args ((= @t1034 @t1031))) % 0.97/1.18 (step @p1446 :rule trans :premises (@p1445 @p1442)) % 0.97/1.18 (step @p1447 :rule true_elim :premises (@p1446)) % 0.97/1.18 (step @p1448 :rule trans :premises (@p1447 @p1437)) % 0.97/1.18 (step @p1449 :rule refl :args ((tptp.output @t1036 @t1035 @t1019))) % 0.97/1.18 (step @p1450 :rule refl :args (@t1019)) % 0.97/1.18 (step @p1451 :rule refl :args (@t1023)) % 0.97/1.18 (step @p1452 :rule refl :args (@t1027)) % 0.97/1.18 (step @p1453 :rule cong :premises (@p1452 @p1451 @p1450) :args (@t1028)) % 0.97/1.18 (step @p1454 :rule trans :premises (@p1453 @p1449)) % 0.97/1.18 (step @p1455 :rule ho_cong :premises (@p515 @p1452)) % 0.97/1.18 (step @p1456 :rule ho_cong :premises (@p1455 @p1451)) % 0.97/1.18 (step @p1457 :rule ho_cong :premises (@p1456 @p1450)) % 0.97/1.18 (step @p1458 :rule cong :premises (@p1457 @p1454) :args ((= (_ (_ (_ tptp.output @t1027) @t1023) @t1019) @t1028))) % 0.97/1.18 (step @p1459 :rule symm :premises (@p1458)) % 0.97/1.18 (step @p1460 :rule refl :args ((_ (_ (_ tptp.output @t1036) @t1035) @t1019))) % 0.97/1.18 (step @p1461 :rule eq_resolve :premises (@p1460 @p1459)) % 0.97/1.18 (step @p1462 :rule refl :args (@t1035)) % 0.97/1.18 (step @p1463 :rule cong :premises (@p1462 @p1451) :args ((= @t1035 @t1023))) % 0.97/1.18 (step @p1464 :rule symm :premises (@p1463)) % 0.97/1.18 (step @p1465 :rule eq_resolve :premises (@p1462 @p1464)) % 0.97/1.18 (step @p1466 :rule ho_cong :premises (@p652 @p1427)) % 0.97/1.18 (step @p1467 :rule ho_cong :premises (@p1466 @p880)) % 0.97/1.18 (step @p1468 :rule ho_cong :premises (@p1467 @p1421)) % 0.97/1.18 (step @p1469 :rule trans :premises (@p1468 @p1465)) % 0.97/1.18 (step @p1470 :rule refl :args (@t1036)) % 0.97/1.18 (step @p1471 :rule cong :premises (@p1470 @p1452) :args ((= @t1036 @t1027))) % 0.97/1.18 (step @p1472 :rule symm :premises (@p1471)) % 0.97/1.18 (step @p1473 :rule eq_resolve :premises (@p1470 @p1472)) % 0.97/1.18 (step @p1474 :rule ho_cong :premises (@p652 @p1435)) % 0.97/1.18 (step @p1475 :rule ho_cong :premises (@p1474 @p880)) % 0.97/1.18 (step @p1476 :rule ho_cong :premises (@p1475 @p1429)) % 0.97/1.18 (step @p1477 :rule trans :premises (@p1476 @p1473)) % 0.97/1.18 (step @p1478 :rule ho_cong :premises (@p678 @p1477)) % 0.97/1.18 (step @p1479 :rule ho_cong :premises (@p1478 @p1469)) % 0.97/1.18 (step @p1480 :rule ho_cong :premises (@p1479 @p1420)) % 0.97/1.18 (step @p1481 :rule trans :premises (@p1480 @p1461)) % 0.97/1.18 (step @p1482 :rule eq-refl :args (@t1037)) % 0.97/1.18 (step @p1483 :rule refl :args (@t1037)) % 0.97/1.18 (step @p1484 :rule beta-reduce :args (@t1038)) % 0.97/1.18 (step @p1485 :rule cong :premises (@p1484 @p1483) :args (@t1038)) % 0.97/1.18 (step @p1486 :rule trans :premises (@p1485 @p1482)) % 0.97/1.18 (step @p1487 :rule skolem_intro :args (@t1017)) % 0.97/1.18 (step @p1488 :rule ho_cong :premises (@p1487 @p1429 @p1421 @p1443 @p1420)) % 0.97/1.18 (step @p1489 :rule cong :premises (@p1488 @p1483) :args ((= @t1039 @t1037))) % 0.97/1.18 (step @p1490 :rule trans :premises (@p1489 @p1486)) % 0.97/1.18 (step @p1491 :rule true_elim :premises (@p1490)) % 0.97/1.18 (step @p1492 :rule trans :premises (@p1491 @p1481)) % 0.97/1.18 (step @p1493 :rule cong :premises (@p1492 @p1448) :args (@t1040)) % 0.97/1.18 (step @p1494 :rule trans :premises (@p1493 @p1419)) % 0.97/1.18 (step @p1495 :rule cong :premises (@p1494) :args (@t1041)) % 0.97/1.18 (step @p1496 :rule trans :premises (@p1495 @p991)) % 0.97/1.18 (step @p1497 :rule refl :args (@t1018)) % 0.97/1.18 (step @p1498 :rule nary_cong :premises (@p1497 @p1496) :args (@t1042)) % 0.97/1.18 (step @p1499 :rule trans :premises (@p1498 @p1418)) % 0.97/1.18 ; trust TRUST THEORY_LEMMA % 0.97/1.18 (step @p1500 :rule trust :premises () :args (@t1042)) % 0.97/1.18 (step @p1501 :rule eq_resolve :premises (@p1500 @p1499)) % 0.97/1.18 (step @p1502 :rule cong :premises (@p876 @p1501 @p1417 @p1380 @p1311 @p1227 @p1143 @p1104 @p1065 @p1027 @p821) :args (@t1043)) % 0.97/1.18 (step @p1503 :rule cong :premises (@p878 @p1502) :args (@t1044)) % 0.97/1.18 (step @p1504 :rule cong :premises (@p880 @p1503) :args (@t1045)) % 0.97/1.18 (step @p1505 :rule cong :premises (@p882 @p1504) :args (@t1046)) % 0.97/1.18 (step @p1506 :rule cong :premises (@p884 @p1505) :args (@t1047)) % 0.97/1.18 (step @p1507 :rule refl :args ((tptp.late_transitions @t674 @t1051))) % 0.97/1.18 (step @p1508 :rule refl :args ((tptp.late_FreeR tptp.alpha @t1050))) % 0.97/1.18 (step @p1509 :rule refl :args ((tptp.res tptp.y @t1049))) % 0.97/1.18 (step @p1510 :rule refl :args ((tptp.par @t9 @t1048))) % 0.97/1.18 (step @p1511 :rule refl :args (@t1043)) % 0.97/1.18 (step @p1512 :rule cong :premises (@p901 @p1511) :args (@t1044)) % 0.97/1.18 (step @p1513 :rule trans :premises (@p1512 @p1510)) % 0.97/1.18 (step @p1514 :rule cong :premises (@p902 @p1513) :args (@t1045)) % 0.97/1.18 (step @p1515 :rule trans :premises (@p1514 @p1509)) % 0.97/1.18 (step @p1516 :rule refl :args (tptp.alpha)) % 0.97/1.18 (step @p1517 :rule cong :premises (@p1516 @p1515) :args (@t1046)) % 0.97/1.18 (step @p1518 :rule trans :premises (@p1517 @p1508)) % 0.97/1.18 (step @p1519 :rule refl :args ((tptp.par @t13 tptp.r))) % 0.97/1.18 (step @p1520 :rule cong :premises (@p906 @p951) :args (@t850)) % 0.97/1.18 (step @p1521 :rule trans :premises (@p1520 @p1519)) % 0.97/1.18 (step @p1522 :rule cong :premises (@p1521 @p1518) :args (@t1047)) % 0.97/1.18 (step @p1523 :rule trans :premises (@p1522 @p1507)) % 0.97/1.18 (step @p1524 :rule ho_cong :premises (@p403 @p1521)) % 0.97/1.18 (step @p1525 :rule ho_cong :premises (@p1524 @p1518)) % 0.97/1.18 (step @p1526 :rule cong :premises (@p1525 @p1523) :args ((= (_ (_ tptp.late_transitions @t850) @t1046) @t1047))) % 0.97/1.18 (step @p1527 :rule symm :premises (@p1526)) % 0.97/1.18 (step @p1528 :rule refl :args ((_ @t675 @t1051))) % 0.97/1.18 (step @p1529 :rule eq_resolve :premises (@p1528 @p1527)) % 0.97/1.18 (step @p1530 :rule refl :args (@t15)) % 0.97/1.18 (step @p1531 :rule ho_cong :premises (@p1530 @p1515)) % 0.97/1.18 (step @p1532 :rule cong :premises (@p1531 @p1518) :args ((= (_ @t15 @t1045) @t1046))) % 0.97/1.18 (step @p1533 :rule symm :premises (@p1532)) % 0.97/1.18 (step @p1534 :rule refl :args (@t1051)) % 0.97/1.18 (step @p1535 :rule eq_resolve :premises (@p1534 @p1533)) % 0.97/1.18 (step @p1536 :rule refl :args (@t673)) % 0.97/1.18 (step @p1537 :rule ho_cong :premises (@p1536 @p1513)) % 0.97/1.18 (step @p1538 :rule cong :premises (@p1537 @p1515) :args ((= (_ @t673 @t1044) @t1045))) % 0.97/1.18 (step @p1539 :rule symm :premises (@p1538)) % 0.97/1.18 (step @p1540 :rule refl :args (@t1050)) % 0.97/1.18 (step @p1541 :rule eq_resolve :premises (@p1540 @p1539)) % 0.97/1.18 (step @p1542 :rule refl :args (tptp.par)) % 0.97/1.18 (step @p1543 :rule ho_cong :premises (@p1542 @p901)) % 0.97/1.18 (step @p1544 :rule ho_cong :premises (@p1543 @p1511)) % 0.97/1.18 (step @p1545 :rule cong :premises (@p1544 @p1513) :args ((= (_ (_ tptp.par @t845) @t1043) @t1044))) % 0.97/1.18 (step @p1546 :rule symm :premises (@p1545)) % 0.97/1.18 (step @p1547 :rule refl :args (@t1049)) % 0.97/1.18 (step @p1548 :rule eq_resolve :premises (@p1547 @p1546)) % 0.97/1.18 (step @p1549 :rule refl :args (@t1048)) % 0.97/1.18 (step @p1550 :rule cong :premises (@p1549 @p1511) :args ((= @t1048 @t1043))) % 0.97/1.18 (step @p1551 :rule symm :premises (@p1550)) % 0.97/1.18 (step @p1552 :rule eq_resolve :premises (@p1549 @p1551)) % 0.97/1.18 (step @p1553 :rule eq-refl :args (@t694)) % 0.97/1.18 (step @p1554 :rule cong :premises (@p644 @p1013) :args ((= @t694 @t866))) % 0.97/1.18 (step @p1555 :rule trans :premises (@p1554 @p1553)) % 0.97/1.18 (step @p1556 :rule true_elim :premises (@p1555)) % 0.97/1.18 (step @p1557 :rule eq-refl :args (@t698)) % 0.97/1.18 (step @p1558 :rule cong :premises (@p645 @p1051) :args ((= @t698 @t879))) % 0.97/1.18 (step @p1559 :rule trans :premises (@p1558 @p1557)) % 0.97/1.18 (step @p1560 :rule true_elim :premises (@p1559)) % 0.97/1.18 (step @p1561 :rule eq-refl :args (@t702)) % 0.97/1.18 (step @p1562 :rule cong :premises (@p646 @p1090) :args ((= @t702 @t893))) % 0.97/1.18 (step @p1563 :rule trans :premises (@p1562 @p1561)) % 0.97/1.18 (step @p1564 :rule true_elim :premises (@p1563)) % 0.97/1.18 (step @p1565 :rule eq-refl :args (@t704)) % 0.97/1.18 (step @p1566 :rule cong :premises (@p647 @p1129) :args ((= @t704 @t908))) % 0.97/1.18 (step @p1567 :rule trans :premises (@p1566 @p1565)) % 0.97/1.18 (step @p1568 :rule true_elim :premises (@p1567)) % 0.97/1.18 (step @p1569 :rule eq-refl :args (@t927)) % 0.97/1.18 (step @p1570 :rule refl :args (@t927)) % 0.97/1.18 (step @p1571 :rule cong :premises (@p1570 @p1213) :args ((= @t927 @t928))) % 0.97/1.18 (step @p1572 :rule trans :premises (@p1571 @p1569)) % 0.97/1.18 (step @p1573 :rule true_elim :premises (@p1572)) % 0.97/1.18 (step @p1574 :rule eq-refl :args (@t954)) % 0.97/1.18 (step @p1575 :rule refl :args (@t954)) % 0.97/1.18 (step @p1576 :rule cong :premises (@p1575 @p1297) :args ((= @t954 @t955))) % 0.97/1.18 (step @p1577 :rule trans :premises (@p1576 @p1574)) % 0.97/1.18 (step @p1578 :rule true_elim :premises (@p1577)) % 0.97/1.18 (step @p1579 :rule eq-refl :args (@t981)) % 0.97/1.18 (step @p1580 :rule refl :args (@t981)) % 0.97/1.18 (step @p1581 :rule cong :premises (@p1580 @p1366) :args ((= @t981 @t982))) % 0.97/1.18 (step @p1582 :rule trans :premises (@p1581 @p1579)) % 0.97/1.18 (step @p1583 :rule true_elim :premises (@p1582)) % 0.97/1.18 (step @p1584 :rule eq-refl :args (@t714)) % 0.97/1.18 (step @p1585 :rule cong :premises (@p677 @p1403) :args ((= @t714 @t1003))) % 0.97/1.18 (step @p1586 :rule trans :premises (@p1585 @p1584)) % 0.97/1.18 (step @p1587 :rule true_elim :premises (@p1586)) % 0.97/1.18 (step @p1588 :rule eq-refl :args (@t1016)) % 0.97/1.18 (step @p1589 :rule refl :args (@t1016)) % 0.97/1.18 (step @p1590 :rule cong :premises (@p1589 @p1487) :args ((= @t1016 @t1017))) % 0.97/1.18 (step @p1591 :rule trans :premises (@p1590 @p1588)) % 0.97/1.18 (step @p1592 :rule true_elim :premises (@p1591)) % 0.97/1.18 (step @p1593 :rule ho_cong :premises (@p683 @p1592)) % 0.97/1.18 (step @p1594 :rule ho_cong :premises (@p1593 @p1587)) % 0.97/1.18 (step @p1595 :rule ho_cong :premises (@p1594 @p1583)) % 0.97/1.18 (step @p1596 :rule ho_cong :premises (@p1595 @p1578)) % 0.97/1.18 (step @p1597 :rule ho_cong :premises (@p1596 @p1573)) % 0.97/1.18 (step @p1598 :rule ho_cong :premises (@p1597 @p1568)) % 0.97/1.18 (step @p1599 :rule ho_cong :premises (@p1598 @p1564)) % 0.97/1.18 (step @p1600 :rule ho_cong :premises (@p1599 @p1560)) % 0.97/1.18 (step @p1601 :rule ho_cong :premises (@p1600 @p1556)) % 0.97/1.18 (step @p1602 :rule ho_cong :premises (@p1601 @p821)) % 0.97/1.18 (step @p1603 :rule trans :premises (@p1602 @p1552)) % 0.97/1.18 (step @p1604 :rule refl :args (tptp.par)) % 0.97/1.18 (step @p1605 :rule ho_cong :premises (@p1604 @p925)) % 0.97/1.18 (step @p1606 :rule ho_cong :premises (@p1605 @p1603)) % 0.97/1.18 (step @p1607 :rule trans :premises (@p1606 @p1548)) % 0.97/1.18 (step @p1608 :rule refl :args (@t673)) % 0.97/1.18 (step @p1609 :rule ho_cong :premises (@p1608 @p1607)) % 0.97/1.18 (step @p1610 :rule trans :premises (@p1609 @p1541)) % 0.97/1.18 (step @p1611 :rule refl :args (@t15)) % 0.97/1.18 (step @p1612 :rule ho_cong :premises (@p1611 @p1610)) % 0.97/1.18 (step @p1613 :rule trans :premises (@p1612 @p1535)) % 0.97/1.18 (step @p1614 :rule ho_cong :premises (@p1542 @p906)) % 0.97/1.18 (step @p1615 :rule ho_cong :premises (@p1614 @p951)) % 0.97/1.18 (step @p1616 :rule cong :premises (@p1615 @p1521) :args ((= (_ (_ tptp.par @t849) tptp.r) @t850))) % 0.97/1.18 (step @p1617 :rule symm :premises (@p1616)) % 0.97/1.18 (step @p1618 :rule refl :args (@t674)) % 0.97/1.18 (step @p1619 :rule eq_resolve :premises (@p1618 @p1617)) % 0.97/1.18 (step @p1620 :rule refl :args (tptp.r)) % 0.97/1.18 (step @p1621 :rule ho_cong :premises (@p1604 @p938)) % 0.97/1.18 (step @p1622 :rule ho_cong :premises (@p1621 @p1620)) % 0.97/1.18 (step @p1623 :rule trans :premises (@p1622 @p1619)) % 0.97/1.18 (step @p1624 :rule ho_cong :premises (@p939 @p1623)) % 0.97/1.18 (step @p1625 :rule ho_cong :premises (@p1624 @p1613)) % 0.97/1.18 (step @p1626 :rule trans :premises (@p1625 @p1529)) % 0.97/1.18 (step @p1627 :rule cong :premises (@p1626) :args ((not (_ @t675 (_ @t15 @t1053))))) % 0.97/1.18 (step @p1628 :rule refl :args (@t1053)) % 0.97/1.18 (step @p1629 :rule refl :args (tptp.late_FreeR)) % 0.97/1.18 (step @p1630 :rule ho_cong :premises (@p1629 @p343)) % 0.97/1.18 (step @p1631 :rule ho_cong :premises (@p1630 @p1628)) % 0.97/1.18 (step @p1632 :rule refl :args (@t675)) % 0.97/1.18 (step @p1633 :rule ho_cong :premises (@p1632 @p1631)) % 0.97/1.18 (step @p1634 :rule cong :premises (@p1633) :args ((not (_ @t675 (_ @t56 @t1053))))) % 0.97/1.18 (step @p1635 :rule beta-reduce :args ((= (_ (lambda @t795 (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ @t716 (lambda @t708 (_ (_ (_ tptp.output @t1055) @t1054) @t691))) @t714) (lambda @t711 (_ (_ (_ tptp.input @t1055) @t695) @t691))) (lambda @t708 (_ (_ (_ tptp.match @t1055) @t1054) @t691))) (lambda @t708 (_ (_ (_ tptp.mismatch @t1055) @t1054) @t691))) @t704) @t702) @t698) @t694) tptp.r2)) tptp.y) @t1052))) % 0.97/1.18 (step @p1636 :rule eq-symm :args (@t677 tptp.x)) % 0.97/1.18 (step @p1637 :rule ho_cong :premises (@p652 @p1636)) % 0.97/1.18 (step @p1638 :rule ho_cong :premises (@p1637 @p650)) % 0.97/1.18 (step @p1639 :rule ho_cong :premises (@p1638 @p649)) % 0.97/1.18 (step @p1640 :rule eq-symm :args (@t519 tptp.x)) % 0.97/1.18 (step @p1641 :rule ho_cong :premises (@p652 @p1640)) % 0.97/1.18 (step @p1642 :rule ho_cong :premises (@p1641 @p650)) % 0.97/1.18 (step @p1643 :rule ho_cong :premises (@p1642 @p656)) % 0.97/1.18 (step @p1644 :rule ho_cong :premises (@p661 @p1643)) % 0.97/1.18 (step @p1645 :rule ho_cong :premises (@p1644 @p1639)) % 0.97/1.18 (step @p1646 :rule ho_cong :premises (@p1645 @p648)) % 0.97/1.18 (step @p1647 :rule cong :premises (@p1646) :args (@t1058)) % 0.97/1.18 (step @p1648 :rule ho_cong :premises (@p666 @p1643)) % 0.97/1.18 (step @p1649 :rule ho_cong :premises (@p1648 @p1639)) % 0.97/1.18 (step @p1650 :rule ho_cong :premises (@p1649 @p648)) % 0.97/1.18 (step @p1651 :rule cong :premises (@p1650) :args (@t1059)) % 0.97/1.18 (step @p1652 :rule ho_cong :premises (@p672 @p1643)) % 0.97/1.18 (step @p1653 :rule ho_cong :premises (@p1652 @p671)) % 0.97/1.18 (step @p1654 :rule ho_cong :premises (@p1653 @p648)) % 0.97/1.18 (step @p1655 :rule cong :premises (@p1654) :args (@t1060)) % 0.97/1.18 (step @p1656 :rule ho_cong :premises (@p678 @p1643)) % 0.97/1.18 (step @p1657 :rule ho_cong :premises (@p1656 @p1639)) % 0.97/1.18 (step @p1658 :rule ho_cong :premises (@p1657 @p648)) % 0.97/1.18 (step @p1659 :rule cong :premises (@p1658) :args (@t1061)) % 0.97/1.18 (step @p1660 :rule ho_cong :premises (@p683 @p1659)) % 0.97/1.18 (step @p1661 :rule ho_cong :premises (@p1660 @p677)) % 0.97/1.18 (step @p1662 :rule ho_cong :premises (@p1661 @p1655)) % 0.97/1.18 (step @p1663 :rule ho_cong :premises (@p1662 @p1651)) % 0.97/1.18 (step @p1664 :rule ho_cong :premises (@p1663 @p1647)) % 0.97/1.18 (step @p1665 :rule ho_cong :premises (@p1664 @p647)) % 0.97/1.18 (step @p1666 :rule ho_cong :premises (@p1665 @p646)) % 0.97/1.18 (step @p1667 :rule ho_cong :premises (@p1666 @p645)) % 0.97/1.18 (step @p1668 :rule ho_cong :premises (@p1667 @p644)) % 0.97/1.18 (step @p1669 :rule ho_cong :premises (@p1668 @p821)) % 0.97/1.18 (step @p1670 :rule cong :premises (@p1669) :args (@t1062)) % 0.97/1.18 (step @p1671 :rule beta-reduce :args ((= (_ @t1063 tptp.x) @t1062))) % 0.97/1.18 (step @p1672 :rule trans :premises (@p1671 @p1670)) % 0.97/1.18 (step @p1673 :rule beta-reduce :args ((= @t1064 @t1063))) % 0.97/1.18 (step @p1674 :rule ho_cong :premises (@p1673 @p967)) % 0.97/1.18 (step @p1675 :rule trans :premises (@p1674 @p1672)) % 0.97/1.18 (step @p1676 :rule ho_cong :premises (@p1675 @p880)) % 0.97/1.18 (step @p1677 :rule trans :premises (@p1676 @p1635)) % 0.97/1.18 (step @p1678 :rule refl :args (@t672)) % 0.97/1.18 (step @p1679 :rule ho_cong :premises (@p1678 @p1677)) % 0.97/1.18 (step @p1680 :rule ho_cong :premises (@p1608 @p1679)) % 0.97/1.18 (step @p1681 :rule ho_cong :premises (@p707 @p1680)) % 0.97/1.18 (step @p1682 :rule ho_cong :premises (@p1632 @p1681)) % 0.97/1.18 (step @p1683 :rule cong :premises (@p1682) :args ((not (_ @t675 (_ @t56 (_ @t673 (_ @t672 (_ (_ @t1064 tptp.x) tptp.y)))))))) % 0.97/1.18 (step @p1684 :rule ho_cong :premises (@p806 @p821)) % 0.97/1.18 (step @p1685 :rule ho_cong :premises (@p1684 @p967)) % 0.97/1.18 (step @p1686 :rule ho_cong :premises (@p1685 @p880)) % 0.97/1.18 (step @p1687 :rule ho_cong :premises (@p1678 @p1686)) % 0.97/1.18 (step @p1688 :rule ho_cong :premises (@p1608 @p1687)) % 0.97/1.18 (step @p1689 :rule ho_cong :premises (@p707 @p1688)) % 0.97/1.18 (step @p1690 :rule ho_cong :premises (@p1632 @p1689)) % 0.97/1.18 (step @p1691 :rule cong :premises (@p1690) :args (@t676)) % 0.97/1.18 (step @p1692 :rule trans :premises (@p1691 @p1683)) % 0.97/1.18 (step @p1693 :rule trans :premises (@p1692 @p1634 @p1627)) % 0.97/1.18 (step @p1694 :rule eq_resolve :premises (@p325 @p1693)) % 0.97/1.18 (step @p1695 :rule false_intro :premises (@p1694)) % 0.97/1.18 (step @p1696 :rule symm :premises (@p1695)) % 0.97/1.18 (step @p1697 :rule trans :premises (@p1696 @p1506 @p989)) % 0.97/1.18 (step @p1698 false :rule eq_resolve :premises (@p1697 @p341)) % 0.97/1.18 ) % 0.97/1.18 % SZS output end Proof % 0.97/1.18 % cvc5 exiting %------------------------------------------------------------------------------