%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV444^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 09:01:33 AM UTC 2026 % Result : Theorem 202.34s 202.73s % Output : Proof 202.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV444^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:19:36 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 202.34/202.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 202.34/202.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 202.34/202.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 202.34/202.73 --- Run --ho-elim --full-saturate-quant at 18s... % 202.34/202.73 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 202.34/202.73 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 202.34/202.73 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 202.34/202.73 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 202.34/202.73 % SZS status Theorem % 202.34/202.73 % SZS output start Proof % 202.34/202.73 ( % 202.34/202.73 (declare-sort $$unsorted 0) % 202.34/202.73 (declare-sort tptp.individuals 0) % 202.34/202.73 (declare-const tptp.reli (-> $$unsorted $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.relr (-> $$unsorted $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.princ_inj (-> tptp.individuals $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.bl_valid (-> (-> $$unsorted Bool) Bool)) % 202.34/202.73 (declare-const tptp.bl_false (-> $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.loca tptp.individuals) % 202.34/202.73 (declare-const tptp.bl_true (-> $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.cs4_false (-> $$unsorted Bool)) % 202.34/202.73 (declare-const tptp.cs4_true (-> $$unsorted Bool)) % 202.34/202.73 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 202.34/202.73 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 202.34/202.73 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 202.34/202.73 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 202.34/202.73 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 202.34/202.73 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 202.34/202.73 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 202.34/202.73 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 202.34/202.73 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 202.34/202.73 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 202.34/202.73 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 202.34/202.73 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 202.34/202.73 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 202.34/202.73 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 202.34/202.73 (define tptp.cs4_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) _let_2) _let_1))))) % 202.34/202.73 (define tptp.cs4_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.cs4_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.cs4_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 202.34/202.73 (define tptp.cs4_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ tptp.mall _let_2)) _let_1))))) % 202.34/202.73 (define tptp.cs4_box () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mbox tptp.relr) _let_2)) _let_1))))) % 202.34/202.73 (define tptp.cs4_valid () (let ((_let_1 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 202.34/202.73 (define tptp.bl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 202.34/202.73 (define tptp.bl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 202.34/202.73 (define tptp.bl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_and _let_3) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.bl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_or _let_3) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.bl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_impl _let_3) _let_2) _let_1)))))) % 202.34/202.73 (define tptp.bl_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_all _let_2) _let_1))))) % 202.34/202.73 (define tptp.bl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (let ((_let_3 (@var "K" tptp.individuals))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ (_ tptp.princ_inj _let_3))) _let_2)) _let_1)))))) % 202.34/202.73 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 202.34/202.73 (define @t2 () (_ tptp.mbox tptp.reli)) % 202.34/202.73 (define @t3 () (_ @t2 @t1)) % 202.34/202.73 (define @t4 () (_ tptp.mimpl @t3)) % 202.34/202.73 (define @t5 () (@list @t1)) % 202.34/202.73 (define @t6 () (_ tptp.mbox tptp.relr)) % 202.34/202.73 (define @t7 () (_ @t6 @t1)) % 202.34/202.73 (define @t8 () (_ tptp.mimpl @t7)) % 202.34/202.73 (define @t9 () (_ @t2 @t7)) % 202.34/202.73 (define @t10 () (= tptp.bl_valid tptp.mvalid)) % 202.34/202.73 (define @t11 () (@var "__flatten_var_0" $$unsorted)) % 202.34/202.73 (define @t12 () (_ tptp.princ_inj tptp.loca)) % 202.34/202.73 (define @t13 () (@var "K" tptp.individuals)) % 202.34/202.73 (define @t14 () (_ tptp.princ_inj @t13)) % 202.34/202.73 (define @t15 () (@list @t13 @t11)) % 202.34/202.73 (define @t16 () (lambda @t15 (_ (_ (_ tptp.cs4_impl @t14) @t12) @t11))) % 202.34/202.73 (define @t17 () (_ tptp.bl_atom @t1)) % 202.34/202.73 (define @t18 () (@list @t13 @t1)) % 202.34/202.73 (define @t19 () (forall @t18 (_ tptp.bl_valid (_ (_ tptp.bl_impl (_ (_ tptp.bl_says tptp.loca) @t17)) (_ (_ tptp.bl_says @t13) @t17))))) % 202.34/202.73 (define @t20 () (not @t19)) % 202.34/202.73 (define @t21 () (@var "X" $$unsorted)) % 202.34/202.73 (define @t22 () (@list @t21)) % 202.34/202.73 (define @t23 () (lambda @t22 false)) % 202.34/202.73 (define @t24 () (lambda @t22 true)) % 202.34/202.73 (define @t25 () (@var "U" $$unsorted)) % 202.34/202.73 (define @t26 () (@var "X" (-> $$unsorted Bool))) % 202.34/202.73 (define @t27 () (_ @t26 @t25)) % 202.34/202.73 (define @t28 () (lambda (@list @t26 @t25) (not @t27))) % 202.34/202.73 (define @t29 () (@var "Y" (-> $$unsorted Bool))) % 202.34/202.73 (define @t30 () (_ @t29 @t25)) % 202.34/202.73 (define @t31 () (@list @t26 @t29 @t25)) % 202.34/202.73 (define @t32 () (lambda @t31 (or @t27 @t30))) % 202.34/202.73 (define @t33 () (lambda @t31 (and @t27 @t30))) % 202.34/202.73 (define @t34 () (@var "V" (-> $$unsorted Bool))) % 202.34/202.73 (define @t35 () (@var "U" (-> $$unsorted Bool))) % 202.34/202.73 (define @t36 () (@list @t35 @t34 @t11)) % 202.34/202.73 (define @t37 () (lambda @t36 (_ (_ (_ tptp.mor (_ tptp.mnot @t35)) @t34) @t11))) % 202.34/202.73 (define @t38 () (lambda @t36 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t35) @t34)) (_ (_ tptp.mimpl @t34) @t35)) @t11))) % 202.34/202.73 (define @t39 () (@var "Y" $$unsorted)) % 202.34/202.73 (define @t40 () (@var "P" (-> $$unsorted Bool))) % 202.34/202.73 (define @t41 () (_ @t40 @t39)) % 202.34/202.73 (define @t42 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 202.34/202.73 (define @t43 () (_ (_ @t42 @t21) @t39)) % 202.34/202.73 (define @t44 () (@list @t39)) % 202.34/202.73 (define @t45 () (forall @t44 (=> @t43 @t41))) % 202.34/202.73 (define @t46 () (@list @t42 @t40 @t21)) % 202.34/202.73 (define @t47 () (lambda @t46 @t45)) % 202.34/202.73 (define @t48 () (lambda @t46 (exists @t44 (and @t43 @t41)))) % 202.34/202.73 (define @t49 () (@var "W" $$unsorted)) % 202.34/202.73 (define @t50 () (@var "X" tptp.individuals)) % 202.34/202.73 (define @t51 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 202.34/202.73 (define @t52 () (_ (_ @t51 @t50) @t49)) % 202.34/202.73 (define @t53 () (@list @t50)) % 202.34/202.73 (define @t54 () (forall @t53 @t52)) % 202.34/202.73 (define @t55 () (@list @t51 @t49)) % 202.34/202.73 (define @t56 () (lambda @t55 @t54)) % 202.34/202.73 (define @t57 () (lambda @t55 (exists @t53 @t52))) % 202.34/202.73 (define @t58 () (_ @t40 @t49)) % 202.34/202.73 (define @t59 () (@list @t49)) % 202.34/202.73 (define @t60 () (forall @t59 @t58)) % 202.34/202.73 (define @t61 () (@list @t40)) % 202.34/202.73 (define @t62 () (lambda @t61 @t60)) % 202.34/202.73 (define @t63 () (lambda @t61 (exists @t59 @t58))) % 202.34/202.73 (define @t64 () (not @t58)) % 202.34/202.73 (define @t65 () (lambda @t61 (exists @t59 @t64))) % 202.34/202.73 (define @t66 () (lambda @t61 (forall @t59 @t64))) % 202.34/202.73 (define @t67 () (@list @t40 @t11)) % 202.34/202.73 (define @t68 () (lambda @t67 (_ (_ @t2 @t40) @t11))) % 202.34/202.73 (define @t69 () (@var "B" (-> $$unsorted Bool))) % 202.34/202.73 (define @t70 () (@list @t1 @t69 @t11)) % 202.34/202.73 (define @t71 () (lambda @t70 (_ (_ (_ tptp.mand @t1) @t69) @t11))) % 202.34/202.73 (define @t72 () (lambda @t70 (_ (_ (_ tptp.mor @t1) @t69) @t11))) % 202.34/202.73 (define @t73 () (lambda @t70 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t69)) @t11))) % 202.34/202.73 (define @t74 () (@var "A" (-> tptp.individuals $$unsorted Bool))) % 202.34/202.73 (define @t75 () (@list @t74 @t11)) % 202.34/202.73 (define @t76 () (lambda @t75 (_ (_ @t2 (_ tptp.mall @t74)) @t11))) % 202.34/202.73 (define @t77 () (@list @t1 @t11)) % 202.34/202.73 (define @t78 () (lambda @t77 (_ @t9 @t11))) % 202.34/202.73 (define @t79 () (lambda @t5 (_ tptp.mvalid @t1))) % 202.34/202.73 (define @t80 () (lambda @t67 (_ (_ tptp.cs4_atom @t40) @t11))) % 202.34/202.73 (define @t81 () (lambda @t70 (_ (_ (_ tptp.cs4_and @t1) @t69) @t11))) % 202.34/202.73 (define @t82 () (lambda @t70 (_ (_ (_ tptp.cs4_or @t1) @t69) @t11))) % 202.34/202.73 (define @t83 () (lambda @t70 (_ (_ (_ tptp.cs4_impl @t1) @t69) @t11))) % 202.34/202.73 (define @t84 () (lambda @t75 (_ (_ tptp.cs4_all @t74) @t11))) % 202.34/202.73 (define @t85 () (@list @t13 @t1 @t11)) % 202.34/202.73 (define @t86 () (lambda @t85 (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ @t14)) @t1)) @t11))) % 202.34/202.73 (define @t87 () (@var "BOUND_VARIABLE_8824" $$unsorted)) % 202.34/202.73 (define @t88 () (_ @t1 @t87)) % 202.34/202.73 (define @t89 () (@var "BOUND_VARIABLE_8822" $$unsorted)) % 202.34/202.73 (define @t90 () (tptp.reli @t89 @t87)) % 202.34/202.73 (define @t91 () (not @t90)) % 202.34/202.73 (define @t92 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 202.34/202.73 (define @t93 () (tptp.princ_inj @t13 @t92)) % 202.34/202.73 (define @t94 () (tptp.reli @t89 @t92)) % 202.34/202.73 (define @t95 () (not @t94)) % 202.34/202.73 (define @t96 () (or @t95 @t93)) % 202.34/202.73 (define @t97 () (@list @t92)) % 202.34/202.73 (define @t98 () (forall @t97 @t96)) % 202.34/202.73 (define @t99 () (not @t98)) % 202.34/202.73 (define @t100 () (@var "BOUND_VARIABLE_8820" $$unsorted)) % 202.34/202.73 (define @t101 () (tptp.reli @t100 @t89)) % 202.34/202.73 (define @t102 () (not @t101)) % 202.34/202.73 (define @t103 () (@var "BOUND_VARIABLE_8818" $$unsorted)) % 202.34/202.73 (define @t104 () (tptp.relr @t103 @t100)) % 202.34/202.73 (define @t105 () (not @t104)) % 202.34/202.73 (define @t106 () (tptp.reli @t39 @t103)) % 202.34/202.73 (define @t107 () (not @t106)) % 202.34/202.73 (define @t108 () (@var "BOUND_VARIABLE_8730" $$unsorted)) % 202.34/202.73 (define @t109 () (_ @t1 @t108)) % 202.34/202.73 (define @t110 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 202.34/202.73 (define @t111 () (tptp.reli @t110 @t108)) % 202.34/202.73 (define @t112 () (not @t111)) % 202.34/202.73 (define @t113 () (tptp.princ_inj tptp.loca @t92)) % 202.34/202.73 (define @t114 () (tptp.reli @t110 @t92)) % 202.34/202.73 (define @t115 () (not @t114)) % 202.34/202.73 (define @t116 () (or @t115 @t113)) % 202.34/202.73 (define @t117 () (forall @t97 @t116)) % 202.34/202.73 (define @t118 () (not @t117)) % 202.34/202.73 (define @t119 () (@var "BOUND_VARIABLE_7942" $$unsorted)) % 202.34/202.73 (define @t120 () (tptp.reli @t119 @t110)) % 202.34/202.73 (define @t121 () (not @t120)) % 202.34/202.73 (define @t122 () (@var "BOUND_VARIABLE_8748" $$unsorted)) % 202.34/202.73 (define @t123 () (tptp.relr @t122 @t119)) % 202.34/202.73 (define @t124 () (not @t123)) % 202.34/202.73 (define @t125 () (tptp.reli @t39 @t122)) % 202.34/202.73 (define @t126 () (not @t125)) % 202.34/202.73 (define @t127 () (or @t126 @t124 @t121 @t118 @t112 @t109)) % 202.34/202.73 (define @t128 () (@list @t122 @t119 @t110 @t108)) % 202.34/202.73 (define @t129 () (forall @t128 @t127)) % 202.34/202.73 (define @t130 () (not @t129)) % 202.34/202.73 (define @t131 () (not (tptp.reli @t49 @t39))) % 202.34/202.73 (define @t132 () (or @t131 @t130 @t107 @t105 @t102 @t99 @t91 @t88)) % 202.34/202.73 (define @t133 () (forall (@list @t13 @t1 @t49 @t39 @t103 @t100 @t89 @t87) @t132)) % 202.34/202.73 (define @t134 () (forall (@list @t49 @t39 @t103 @t100 @t89 @t87) @t132)) % 202.34/202.73 (define @t135 () (@list @t39 @t103 @t100 @t89 @t87)) % 202.34/202.73 (define @t136 () (forall @t135 @t132)) % 202.34/202.73 (define @t137 () (tptp.reli @t11 @t39)) % 202.34/202.73 (define @t138 () (not @t137)) % 202.34/202.73 (define @t139 () (or @t138 @t130 @t107 @t105 @t102 @t99 @t91 @t88)) % 202.34/202.73 (define @t140 () (forall @t135 @t139)) % 202.34/202.73 (define @t141 () (@list @t11)) % 202.34/202.73 (define @t142 () (lambda @t141 @t140)) % 202.34/202.73 (define @t143 () (_ @t142 @t49)) % 202.34/202.73 (define @t144 () (forall @t59 @t143)) % 202.34/202.73 (define @t145 () (_ @t40 @t49)) % 202.34/202.73 (define @t146 () (lambda @t61 (forall @t59 @t145))) % 202.34/202.73 (define @t147 () (_ @t146 @t142)) % 202.34/202.73 (define @t148 () (forall @t18 @t147)) % 202.34/202.73 (define @t149 () (tptp.bl_valid @t142)) % 202.34/202.73 (define @t150 () (forall @t18 @t149)) % 202.34/202.73 (define @t151 () (_ tptp.reli @t89)) % 202.34/202.73 (define @t152 () (_ tptp.reli @t39)) % 202.34/202.73 (define @t153 () (_ tptp.reli @t110)) % 202.34/202.73 (define @t154 () (lambda @t141 (forall @t135 (or (not (_ (_ tptp.reli @t11) @t39)) (not (forall @t128 (or (not (_ @t152 @t122)) (not (_ (_ tptp.relr @t122) @t119)) (not (_ (_ tptp.reli @t119) @t110)) (not (forall @t97 (or (not (_ @t153 @t92)) (_ @t12 @t92)))) (not (_ @t153 @t108)) (_ @t1 @t108)))) (not (_ @t152 @t103)) (not (_ (_ tptp.relr @t103) @t100)) (not (_ (_ tptp.reli @t100) @t89)) (not (forall @t97 (or (not (_ @t151 @t92)) (_ @t14 @t92)))) (not (_ @t151 @t87)) (_ @t1 @t87))))) % 202.34/202.73 (define @t155 () (_ tptp.bl_valid @t142)) % 202.34/202.73 (define @t156 () (or @t107 @t105 @t102 @t99 @t91 @t88)) % 202.34/202.73 (define @t157 () (or @t138 @t130 @t156)) % 202.34/202.73 (define @t158 () (forall @t135 @t157)) % 202.34/202.73 (define @t159 () (@list @t103 @t100 @t89 @t87)) % 202.34/202.73 (define @t160 () (forall @t159 @t157)) % 202.34/202.73 (define @t161 () (forall @t159 @t156)) % 202.34/202.73 (define @t162 () (@var "BOUND_VARIABLE_8784" $$unsorted)) % 202.34/202.73 (define @t163 () (@var "BOUND_VARIABLE_8801" $$unsorted)) % 202.34/202.73 (define @t164 () (or @t138 @t130 @t161)) % 202.34/202.73 (define @t165 () (_ @t1 @t162)) % 202.34/202.73 (define @t166 () (not (tptp.reli @t110 @t162))) % 202.34/202.73 (define @t167 () (not (forall @t97 (or @t115 @t93)))) % 202.34/202.73 (define @t168 () (not (tptp.relr @t163 @t119))) % 202.34/202.73 (define @t169 () (@list @t163 @t119 @t110 @t162)) % 202.34/202.73 (define @t170 () (forall @t169 (or (not (tptp.reli @t39 @t163)) @t168 @t121 @t167 @t166 @t165))) % 202.34/202.73 (define @t171 () (not (tptp.relr @t39 @t119))) % 202.34/202.73 (define @t172 () (or @t138 @t171 @t121 @t167 @t166 @t165)) % 202.34/202.73 (define @t173 () (@list @t39 @t119 @t110 @t162)) % 202.34/202.73 (define @t174 () (forall @t173 @t172)) % 202.34/202.73 (define @t175 () (@list @t39)) % 202.34/202.73 (define @t176 () (lambda @t141 @t174)) % 202.34/202.73 (define @t177 () (or @t138 @t130 (_ @t176 @t39))) % 202.34/202.73 (define @t178 () (forall @t44 @t177)) % 202.34/202.73 (define @t179 () (lambda @t141 @t178)) % 202.34/202.73 (define @t180 () (_ @t69 @t39)) % 202.34/202.73 (define @t181 () (@list @t69 @t11)) % 202.34/202.73 (define @t182 () (or @t166 @t165)) % 202.34/202.73 (define @t183 () (or @t138 @t171 @t121 @t167 @t182)) % 202.34/202.73 (define @t184 () (forall @t173 @t183)) % 202.34/202.73 (define @t185 () (@list @t162)) % 202.34/202.73 (define @t186 () (forall @t185 @t183)) % 202.34/202.73 (define @t187 () (@list @t39 @t119 @t110)) % 202.34/202.73 (define @t188 () (forall @t185 @t182)) % 202.34/202.73 (define @t189 () (@var "BOUND_VARIABLE_8774" $$unsorted)) % 202.34/202.73 (define @t190 () (@list @t189)) % 202.34/202.73 (define @t191 () (or @t138 @t171 @t121 @t167 @t188)) % 202.34/202.73 (define @t192 () (_ @t1 @t39)) % 202.34/202.73 (define @t193 () (forall @t44 (or (not (tptp.reli @t110 @t39)) @t192))) % 202.34/202.73 (define @t194 () (or @t138 @t171 @t121 @t167 @t193)) % 202.34/202.73 (define @t195 () (lambda @t141 (forall @t44 (or @t138 @t192)))) % 202.34/202.73 (define @t196 () (_ @t195 @t110)) % 202.34/202.73 (define @t197 () (or @t138 @t171 @t121 @t167 @t196)) % 202.34/202.73 (define @t198 () (forall @t187 @t197)) % 202.34/202.73 (define @t199 () (lambda @t141 @t198)) % 202.34/202.73 (define @t200 () (_ @t1 @t110)) % 202.34/202.73 (define @t201 () (or @t138 @t171 @t121 @t167 @t200)) % 202.34/202.73 (define @t202 () (forall @t187 @t201)) % 202.34/202.73 (define @t203 () (lambda @t77 @t202)) % 202.34/202.73 (define @t204 () (_ @t40 @t39)) % 202.34/202.73 (define @t205 () (forall @t44 (or @t138 @t204))) % 202.34/202.73 (define @t206 () (lambda @t67 @t205)) % 202.34/202.73 (define @t207 () (_ @t206 @t1)) % 202.34/202.73 (define @t208 () (lambda @t85 @t202)) % 202.34/202.73 (define @t209 () (_ @t208 @t13)) % 202.34/202.73 (define @t210 () (or @t138 @t171 @t121 @t118 @t112 @t109)) % 202.34/202.73 (define @t211 () (@list @t39 @t119 @t110 @t108)) % 202.34/202.73 (define @t212 () (forall @t211 @t210)) % 202.34/202.73 (define @t213 () (lambda @t141 @t212)) % 202.34/202.73 (define @t214 () (not (_ @t213 @t39))) % 202.34/202.73 (define @t215 () (or @t138 @t214 @t180)) % 202.34/202.73 (define @t216 () (forall @t44 @t215)) % 202.34/202.73 (define @t217 () (lambda @t181 @t216)) % 202.34/202.73 (define @t218 () (not @t192)) % 202.34/202.73 (define @t219 () (forall @t44 (or @t138 @t218 @t180))) % 202.34/202.73 (define @t220 () (lambda @t70 @t219)) % 202.34/202.73 (define @t221 () (or @t112 @t109)) % 202.34/202.73 (define @t222 () (or @t138 @t171 @t121 @t118 @t221)) % 202.34/202.73 (define @t223 () (forall @t211 @t222)) % 202.34/202.73 (define @t224 () (@list @t108)) % 202.34/202.73 (define @t225 () (forall @t224 @t222)) % 202.34/202.73 (define @t226 () (forall @t224 @t221)) % 202.34/202.73 (define @t227 () (@var "BOUND_VARIABLE_8720" $$unsorted)) % 202.34/202.73 (define @t228 () (@list @t227)) % 202.34/202.73 (define @t229 () (or @t138 @t171 @t121 @t118 @t226)) % 202.34/202.73 (define @t230 () (or @t138 @t171 @t121 @t118 @t193)) % 202.34/202.73 (define @t231 () (or @t138 @t171 @t121 @t118 @t196)) % 202.34/202.73 (define @t232 () (forall @t187 @t231)) % 202.34/202.73 (define @t233 () (lambda @t141 @t232)) % 202.34/202.73 (define @t234 () (lambda @t77 (forall @t187 (or @t138 @t171 @t121 @t118 @t200)))) % 202.34/202.73 (define @t235 () (_ @t208 tptp.loca)) % 202.34/202.73 (define @t236 () (forall @t18 (_ tptp.bl_valid (_ (_ @t220 (_ @t235 @t207)) (_ @t209 @t207))))) % 202.34/202.73 (define @t237 () (lambda @t141 @t205)) % 202.34/202.73 (define @t238 () (not (tptp.reli @t21 @t39))) % 202.34/202.73 (define @t239 () (forall @t44 (or @t238 @t204))) % 202.34/202.73 (define @t240 () (lambda @t22 @t239)) % 202.34/202.73 (define @t241 () (@list @t40 @t21)) % 202.34/202.73 (define @t242 () (lambda @t241 @t239)) % 202.34/202.73 (define @t243 () (_ @t42 @t21 @t39)) % 202.34/202.73 (define @t244 () (lambda @t46 (forall @t44 (or (not @t243) @t204)))) % 202.34/202.73 (define @t245 () (not @t43)) % 202.34/202.73 (define @t246 () (or @t245 @t41)) % 202.34/202.73 (define @t247 () (or @t121 @t167 @t200)) % 202.34/202.73 (define @t248 () (or @t138 @t171 @t247)) % 202.34/202.73 (define @t249 () (forall @t187 @t248)) % 202.34/202.73 (define @t250 () (@list @t110)) % 202.34/202.73 (define @t251 () (forall @t250 @t248)) % 202.34/202.73 (define @t252 () (@list @t39 @t119)) % 202.34/202.73 (define @t253 () (forall @t250 @t247)) % 202.34/202.73 (define @t254 () (@var "BOUND_VARIABLE_8175" $$unsorted)) % 202.34/202.73 (define @t255 () (@list @t254)) % 202.34/202.73 (define @t256 () (or @t138 @t171 @t253)) % 202.34/202.73 (define @t257 () (forall @t97 (or (not (tptp.reli @t39 @t92)) @t93))) % 202.34/202.73 (define @t258 () (not @t257)) % 202.34/202.73 (define @t259 () (forall @t44 (or (not (tptp.reli @t119 @t39)) @t258 @t192))) % 202.34/202.73 (define @t260 () (or @t138 @t171 @t259)) % 202.34/202.73 (define @t261 () (lambda @t141 (forall @t44 (or @t138 @t258 @t192)))) % 202.34/202.73 (define @t262 () (_ @t261 @t119)) % 202.34/202.73 (define @t263 () (or @t138 @t171 @t262)) % 202.34/202.73 (define @t264 () (forall @t252 @t263)) % 202.34/202.73 (define @t265 () (lambda @t141 @t264)) % 202.34/202.73 (define @t266 () (_ @t1 @t119)) % 202.34/202.73 (define @t267 () (forall @t252 (or @t138 @t171 @t266))) % 202.34/202.73 (define @t268 () (lambda @t77 @t267)) % 202.34/202.73 (define @t269 () (tptp.princ_inj @t13 @t39)) % 202.34/202.73 (define @t270 () (forall @t44 (or @t138 @t269))) % 202.34/202.73 (define @t271 () (lambda @t141 @t270)) % 202.34/202.73 (define @t272 () (not (_ @t271 @t39))) % 202.34/202.73 (define @t273 () (or @t138 @t272 @t180)) % 202.34/202.73 (define @t274 () (forall @t44 @t273)) % 202.34/202.73 (define @t275 () (lambda @t181 @t274)) % 202.34/202.73 (define @t276 () (_ @t14 @t39)) % 202.34/202.73 (define @t277 () (or @t138 @t276)) % 202.34/202.73 (define @t278 () (_ @t14 @t39)) % 202.34/202.73 (define @t279 () (or @t138 @t278)) % 202.34/202.73 (define @t280 () (forall @t44 @t279)) % 202.34/202.73 (define @t281 () (lambda @t141 @t280)) % 202.34/202.73 (define @t282 () (_ @t69 @t39)) % 202.34/202.73 (define @t283 () (_ @t1 @t39)) % 202.34/202.73 (define @t284 () (not @t283)) % 202.34/202.73 (define @t285 () (or @t238 @t284 @t282)) % 202.34/202.73 (define @t286 () (or @t284 @t282)) % 202.34/202.73 (define @t287 () (not (_ @t1 @t11))) % 202.34/202.73 (define @t288 () (lambda @t141 (or @t287 (_ @t69 @t11)))) % 202.34/202.73 (define @t289 () (_ @t288 @t39)) % 202.34/202.73 (define @t290 () (or @t238 @t289)) % 202.34/202.73 (define @t291 () (forall @t44 @t290)) % 202.34/202.73 (define @t292 () (lambda @t22 @t291)) % 202.34/202.73 (define @t293 () (_ @t34 @t11)) % 202.34/202.73 (define @t294 () (lambda (@list @t34 @t11) (or @t287 @t293))) % 202.34/202.73 (define @t295 () (or (not (_ @t35 @t11)) @t293)) % 202.34/202.73 (define @t296 () (not (_ @t35 @t25))) % 202.34/202.73 (define @t297 () (@list @t25)) % 202.34/202.73 (define @t298 () (lambda @t297 (or @t296 (_ @t34 @t25)))) % 202.34/202.73 (define @t299 () (@list @t29 @t25)) % 202.34/202.73 (define @t300 () (lambda @t297 @t296)) % 202.34/202.73 (define @t301 () (_ @t300 @t25)) % 202.34/202.73 (define @t302 () (or @t301 @t30)) % 202.34/202.73 (define @t303 () (lambda @t299 @t302)) % 202.34/202.73 (define @t304 () (or @t238 @t171 @t266)) % 202.34/202.73 (define @t305 () (or @t171 @t266)) % 202.34/202.73 (define @t306 () (or @t238 @t305)) % 202.34/202.73 (define @t307 () (forall @t252 @t306)) % 202.34/202.73 (define @t308 () (@list @t119)) % 202.34/202.73 (define @t309 () (forall @t308 @t306)) % 202.34/202.73 (define @t310 () (forall @t308 @t305)) % 202.34/202.73 (define @t311 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 202.34/202.73 (define @t312 () (@list @t311)) % 202.34/202.73 (define @t313 () (or @t238 @t310)) % 202.34/202.73 (define @t314 () (_ @t1 @t311)) % 202.34/202.73 (define @t315 () (@list @t311)) % 202.34/202.73 (define @t316 () (forall @t315 (or (not (tptp.relr @t39 @t311)) @t314))) % 202.34/202.73 (define @t317 () (not (tptp.relr @t21 @t39))) % 202.34/202.73 (define @t318 () (forall @t44 (or @t317 @t192))) % 202.34/202.73 (define @t319 () (lambda @t22 @t318)) % 202.34/202.73 (define @t320 () (or @t238 (_ @t319 @t39))) % 202.34/202.73 (define @t321 () (forall @t44 @t320)) % 202.34/202.73 (define @t322 () (lambda @t22 @t321)) % 202.34/202.73 (define @t323 () (lambda @t241 (forall @t44 (or @t317 @t204)))) % 202.34/202.73 (define @t324 () (lambda @t141 @t219)) % 202.34/202.73 (define @t325 () (lambda @t181 @t219)) % 202.34/202.73 (define @t326 () (@quantifiers_skolemize @t133 1)) % 202.34/202.73 (define @t327 () (@quantifiers_skolemize @t133 3)) % 202.34/202.73 (define @t328 () (forall @t128 (or (not (tptp.reli @t327 @t122)) @t124 @t121 @t118 @t112 (_ @t326 @t108)))) % 202.34/202.73 (define @t329 () (@quantifiers_skolemize @t133 7)) % 202.34/202.73 (define @t330 () (_ @t326 @t329)) % 202.34/202.73 (define @t331 () (@quantifiers_skolemize @t133 6)) % 202.34/202.73 (define @t332 () (tptp.reli @t331 @t329)) % 202.34/202.73 (define @t333 () (not @t332)) % 202.34/202.73 (define @t334 () (@quantifiers_skolemize @t133 0)) % 202.34/202.73 (define @t335 () (not (tptp.reli @t331 @t92))) % 202.34/202.73 (define @t336 () (forall @t97 (or @t335 (tptp.princ_inj @t334 @t92)))) % 202.34/202.73 (define @t337 () (not @t336)) % 202.34/202.73 (define @t338 () (@quantifiers_skolemize @t133 5)) % 202.34/202.73 (define @t339 () (tptp.reli @t338 @t331)) % 202.34/202.73 (define @t340 () (not @t339)) % 202.34/202.73 (define @t341 () (@quantifiers_skolemize @t133 4)) % 202.34/202.73 (define @t342 () (tptp.relr @t341 @t338)) % 202.34/202.73 (define @t343 () (not @t342)) % 202.34/202.73 (define @t344 () (tptp.reli @t327 @t341)) % 202.34/202.73 (define @t345 () (not @t344)) % 202.34/202.73 (define @t346 () (not @t328)) % 202.34/202.73 (define @t347 () (or (not (tptp.reli (@quantifiers_skolemize @t133 2) @t327)) @t346 @t345 @t343 @t340 @t337 @t333 @t330)) % 202.34/202.73 (define @t348 () (@list true)) % 202.34/202.73 (define @t349 () (@list @t347)) % 202.34/202.73 (define @t350 () (forall @t97 (or @t335 @t113))) % 202.34/202.73 (define @t351 () (@quantifiers_skolemize @t350 0)) % 202.34/202.73 (define @t352 () (tptp.reli @t331 @t351)) % 202.34/202.73 (define @t353 () (tptp.princ_inj tptp.loca @t351)) % 202.34/202.73 (define @t354 () (not @t352)) % 202.34/202.73 (define @t355 () (or @t354 @t353)) % 202.34/202.73 (define @t356 () (tptp.princ_inj @t334 @t351)) % 202.34/202.73 (define @t357 () (or @t354 @t356)) % 202.34/202.73 (define @t358 () (@var "BOUND_VARIABLE_8667" $$unsorted)) % 202.34/202.73 (define @t359 () (tptp.princ_inj tptp.loca @t358)) % 202.34/202.73 (define @t360 () (@var "BOUND_VARIABLE_7882" tptp.individuals)) % 202.34/202.73 (define @t361 () (not (tptp.princ_inj @t360 @t358))) % 202.34/202.73 (define @t362 () (not (tptp.reli @t39 @t358))) % 202.34/202.73 (define @t363 () (or @t131 @t362 @t361 @t359)) % 202.34/202.73 (define @t364 () (@list @t39 @t360 @t358)) % 202.34/202.73 (define @t365 () (forall @t364 @t363)) % 202.34/202.73 (define @t366 () (or @t138 @t362 @t361 @t359)) % 202.34/202.73 (define @t367 () (lambda @t141 (forall @t364 @t366))) % 202.34/202.73 (define @t368 () (_ @t367 @t49)) % 202.34/202.73 (define @t369 () (forall @t59 @t368)) % 202.34/202.73 (define @t370 () (forall @t59 (_ @t1 @t49))) % 202.34/202.73 (define @t371 () (lambda @t5 @t370)) % 202.34/202.73 (define @t372 () (or @t362 @t361 @t359)) % 202.34/202.73 (define @t373 () (or @t138 @t372)) % 202.34/202.73 (define @t374 () (forall @t364 @t373)) % 202.34/202.73 (define @t375 () (@list @t358)) % 202.34/202.73 (define @t376 () (forall @t375 @t373)) % 202.34/202.73 (define @t377 () (@list @t39 @t360)) % 202.34/202.73 (define @t378 () (forall @t375 @t372)) % 202.34/202.73 (define @t379 () (@var "BOUND_VARIABLE_8647" $$unsorted)) % 202.34/202.73 (define @t380 () (@list @t379)) % 202.34/202.73 (define @t381 () (or @t138 @t378)) % 202.34/202.73 (define @t382 () (tptp.princ_inj tptp.loca @t379)) % 202.34/202.73 (define @t383 () (@list @t379)) % 202.34/202.73 (define @t384 () (forall @t383 (or (not (tptp.reli @t39 @t379)) (not (tptp.princ_inj @t360 @t379)) @t382))) % 202.34/202.73 (define @t385 () (tptp.princ_inj tptp.loca @t39)) % 202.34/202.73 (define @t386 () (not @t269)) % 202.34/202.73 (define @t387 () (forall @t44 (or @t138 @t386 @t385))) % 202.34/202.73 (define @t388 () (lambda @t15 @t387)) % 202.34/202.73 (define @t389 () (or @t138 (_ @t388 @t360 @t39))) % 202.34/202.73 (define @t390 () (forall @t377 @t389)) % 202.34/202.73 (define @t391 () (lambda @t141 @t390)) % 202.34/202.73 (define @t392 () (_ @t74 @t360 @t39)) % 202.34/202.73 (define @t393 () (forall @t377 (or @t138 @t392))) % 202.34/202.73 (define @t394 () (lambda @t75 @t393)) % 202.34/202.73 (define @t395 () (_ @t12 @t39)) % 202.34/202.73 (define @t396 () (or @t138 @t386 @t395)) % 202.34/202.73 (define @t397 () (_ @t12 @t39)) % 202.34/202.73 (define @t398 () (or @t138 @t386 @t397)) % 202.34/202.73 (define @t399 () (forall @t44 @t398)) % 202.34/202.73 (define @t400 () (lambda @t141 @t399)) % 202.34/202.73 (define @t401 () (not @t276)) % 202.34/202.73 (define @t402 () (or @t138 @t401 @t180)) % 202.34/202.73 (define @t403 () (not @t278)) % 202.34/202.73 (define @t404 () (or @t138 @t403 @t180)) % 202.34/202.73 (define @t405 () (forall @t44 @t404)) % 202.34/202.73 (define @t406 () (lambda @t181 @t405)) % 202.34/202.73 (define @t407 () (_ @t220 @t14)) % 202.34/202.73 (define @t408 () (or @t238 @t392)) % 202.34/202.73 (define @t409 () (forall @t377 @t408)) % 202.34/202.73 (define @t410 () (@list @t360)) % 202.34/202.73 (define @t411 () (forall @t410 @t408)) % 202.34/202.73 (define @t412 () (forall @t410 @t392)) % 202.34/202.73 (define @t413 () (or @t238 @t412)) % 202.34/202.73 (define @t414 () (forall @t53 (_ @t74 @t50 @t39))) % 202.34/202.73 (define @t415 () (lambda @t59 (forall @t53 (_ @t74 @t50 @t49)))) % 202.34/202.73 (define @t416 () (_ @t415 @t39)) % 202.34/202.73 (define @t417 () (or @t238 @t416)) % 202.34/202.73 (define @t418 () (forall @t44 @t417)) % 202.34/202.73 (define @t419 () (lambda @t22 @t418)) % 202.34/202.73 (define @t420 () (_ @t51 @t50 @t49)) % 202.34/202.73 (define @t421 () (not @t356)) % 202.34/202.73 (define @t422 () (or @t340 @t354 @t421 @t353)) % 202.34/202.73 (define @t423 () (@list false false false false true false)) % 202.34/202.73 (define @t424 () (not @t355)) % 202.34/202.73 (define @t425 () (not @t350)) % 202.34/202.73 (define @t426 () (or @t345 @t343 @t340 @t425 @t333 @t330)) % 202.34/202.73 (define @t427 () (not @t426)) % 202.34/202.73 (assume @p1 (= tptp.cs4_true tptp.mtrue)) % 202.34/202.73 (assume @p2 (= tptp.cs4_false tptp.mfalse)) % 202.34/202.73 (assume @p3 (forall @t5 (_ tptp.mvalid (_ @t4 @t1)))) % 202.34/202.73 (assume @p4 (forall @t5 (_ tptp.mvalid (_ @t8 @t1)))) % 202.34/202.73 (assume @p5 (forall @t5 (_ tptp.mvalid (_ @t4 (_ @t2 @t3))))) % 202.34/202.73 (assume @p6 (forall @t5 (_ tptp.mvalid (_ @t8 (_ @t6 @t7))))) % 202.34/202.73 (assume @p7 (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t9) (_ @t6 @t3))))) % 202.34/202.73 (assume @p8 (= tptp.bl_true tptp.cs4_true)) % 202.34/202.73 (assume @p9 (= tptp.bl_false tptp.cs4_false)) % 202.34/202.73 (assume @p10 @t10) % 202.34/202.73 (assume @p11 (_ tptp.cs4_valid (_ tptp.cs4_all @t16))) % 202.34/202.73 (assume @p12 @t20) % 202.34/202.73 (assume @p13 true) % 202.34/202.73 (step @p14 (= tptp.mfalse @t23) :rule refl :args (@t23)) % 202.34/202.73 (step @p15 (= tptp.mtrue @t24) :rule refl :args (@t24)) % 202.34/202.73 (step @p16 (= tptp.mnot @t28) :rule refl :args (@t28)) % 202.34/202.73 (step @p17 (= tptp.mor @t32) :rule refl :args (@t32)) % 202.34/202.73 (step @p18 (= tptp.mand @t33) :rule refl :args (@t33)) % 202.34/202.73 (step @p19 (= tptp.mimpl @t37) :rule refl :args (@t37)) % 202.34/202.73 (step @p20 (= tptp.miff @t38) :rule refl :args (@t38)) % 202.34/202.73 (step @p21 (= tptp.mbox @t47) :rule refl :args (@t47)) % 202.34/202.73 (step @p22 (= tptp.mdia @t48) :rule refl :args (@t48)) % 202.34/202.73 (step @p23 (= tptp.mall @t56) :rule refl :args (@t56)) % 202.34/202.73 (step @p24 (= tptp.mexists @t57) :rule refl :args (@t57)) % 202.34/202.73 (step @p25 (= tptp.mvalid @t62) :rule refl :args (@t62)) % 202.34/202.73 (step @p26 (= tptp.msatisfiable @t63) :rule refl :args (@t63)) % 202.34/202.73 (step @p27 (= tptp.mcountersatisfiable @t65) :rule refl :args (@t65)) % 202.34/202.73 (step @p28 (= tptp.minvalid @t66) :rule refl :args (@t66)) % 202.34/202.73 (step @p29 (= tptp.cs4_atom @t68) :rule refl :args (@t68)) % 202.34/202.73 (step @p30 (= tptp.cs4_and @t71) :rule refl :args (@t71)) % 202.34/202.73 (step @p31 (= tptp.cs4_or @t72) :rule refl :args (@t72)) % 202.34/202.73 (step @p32 (= tptp.cs4_impl @t73) :rule refl :args (@t73)) % 202.34/202.73 (step @p33 (= tptp.cs4_all @t76) :rule refl :args (@t76)) % 202.34/202.73 (step @p34 (= tptp.cs4_box @t78) :rule refl :args (@t78)) % 202.34/202.73 (step @p35 (= tptp.cs4_valid @t79) :rule refl :args (@t79)) % 202.34/202.73 (step @p36 (= tptp.bl_atom @t80) :rule refl :args (@t80)) % 202.34/202.73 (step @p37 (= tptp.bl_princ @t80) :rule refl :args (@t80)) % 202.34/202.73 (step @p38 (= tptp.bl_and @t81) :rule refl :args (@t81)) % 202.34/202.73 (step @p39 (= tptp.bl_or @t82) :rule refl :args (@t82)) % 202.34/202.73 (step @p40 (= tptp.bl_impl @t83) :rule refl :args (@t83)) % 202.34/202.73 (step @p41 (= tptp.bl_all @t84) :rule refl :args (@t84)) % 202.34/202.73 (step @p42 (= tptp.bl_says @t86) :rule refl :args (@t86)) % 202.34/202.73 (step @p43 :rule quant-merge-prenex :args ((= (forall @t18 @t134) @t133))) % 202.34/202.73 (step @p44 :rule quant-merge-prenex :args ((= (forall @t59 @t136) @t134))) % 202.34/202.73 (step @p45 :rule beta-reduce :args ((= @t143 @t136))) % 202.34/202.73 (step @p46 :rule cong :premises (@p45) :args (@t144)) % 202.34/202.73 (step @p47 :rule trans :premises (@p46 @p44)) % 202.34/202.73 (step @p48 :rule beta-reduce :args ((= @t147 @t144))) % 202.34/202.73 (step @p49 :rule trans :premises (@p48 @p47)) % 202.34/202.73 (step @p50 :rule cong :premises (@p49) :args (@t148)) % 202.34/202.73 (step @p51 :rule trans :premises (@p50 @p43)) % 202.34/202.73 (step @p52 :rule cong :premises (@p51) :args ((not @t148))) % 202.34/202.73 (step @p53 :rule refl :args (@t142)) % 202.34/202.73 (step @p54 :rule eq-symm :args (tptp.bl_valid @t146)) % 202.34/202.73 (step @p55 :rule refl :args (@t145)) % 202.34/202.73 (step @p56 :rule refl :args (@t58)) % 202.34/202.73 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t58 @t145))) % 202.34/202.73 (step @p58 :rule symm :premises (@p57)) % 202.34/202.73 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 202.34/202.73 (step @p60 :rule cong :premises (@p59) :args (@t60)) % 202.34/202.73 (step @p61 :rule cong :premises (@p60) :args (@t62)) % 202.34/202.73 (step @p62 :rule trans :premises (@p25 @p61)) % 202.34/202.73 (step @p63 :rule refl :args (tptp.bl_valid)) % 202.34/202.73 (step @p64 :rule cong :premises (@p63 @p62) :args (@t10)) % 202.34/202.73 (step @p65 :rule trans :premises (@p64 @p54)) % 202.34/202.73 (step @p66 :rule eq_resolve :premises (@p10 @p65)) % 202.34/202.73 (step @p67 :rule symm :premises (@p66)) % 202.34/202.73 (step @p68 :rule ho_cong :premises (@p67 @p53)) % 202.34/202.73 (step @p69 :rule cong :premises (@p68) :args (@t150)) % 202.34/202.74 (step @p70 :rule cong :premises (@p69) :args ((not @t150))) % 202.34/202.74 (step @p71 :rule trans :premises (@p70 @p52)) % 202.34/202.74 (step @p72 :rule refl :args ((tptp.bl_valid @t154))) % 202.34/202.74 (step @p73 :rule refl :args (@t88)) % 202.34/202.74 (step @p74 :rule refl :args (@t90)) % 202.34/202.74 (step @p75 :rule cong :premises (@p74) :args (@t91)) % 202.34/202.74 (step @p76 :rule refl :args (@t93)) % 202.34/202.74 (step @p77 :rule refl :args (@t94)) % 202.34/202.74 (step @p78 :rule cong :premises (@p77) :args (@t95)) % 202.34/202.74 (step @p79 :rule nary_cong :premises (@p78 @p76) :args (@t96)) % 202.34/202.74 (step @p80 :rule cong :premises (@p79) :args (@t98)) % 202.34/202.74 (step @p81 :rule cong :premises (@p80) :args (@t99)) % 202.34/202.74 (step @p82 :rule refl :args (@t101)) % 202.34/202.74 (step @p83 :rule cong :premises (@p82) :args (@t102)) % 202.34/202.74 (step @p84 :rule refl :args (@t104)) % 202.34/202.74 (step @p85 :rule cong :premises (@p84) :args (@t105)) % 202.34/202.74 (step @p86 :rule refl :args (@t106)) % 202.34/202.74 (step @p87 :rule cong :premises (@p86) :args (@t107)) % 202.34/202.74 (step @p88 :rule refl :args (@t109)) % 202.34/202.74 (step @p89 :rule refl :args (@t111)) % 202.34/202.74 (step @p90 :rule cong :premises (@p89) :args (@t112)) % 202.34/202.74 (step @p91 :rule refl :args (@t113)) % 202.34/202.74 (step @p92 :rule refl :args (@t114)) % 202.34/202.74 (step @p93 :rule cong :premises (@p92) :args (@t115)) % 202.34/202.74 (step @p94 :rule nary_cong :premises (@p93 @p91) :args (@t116)) % 202.34/202.74 (step @p95 :rule cong :premises (@p94) :args (@t117)) % 202.34/202.74 (step @p96 :rule cong :premises (@p95) :args (@t118)) % 202.34/202.74 (step @p97 :rule refl :args (@t120)) % 202.34/202.74 (step @p98 :rule cong :premises (@p97) :args (@t121)) % 202.34/202.74 (step @p99 :rule refl :args (@t123)) % 202.34/202.74 (step @p100 :rule cong :premises (@p99) :args (@t124)) % 202.34/202.74 (step @p101 :rule refl :args (@t125)) % 202.34/202.74 (step @p102 :rule cong :premises (@p101) :args (@t126)) % 202.34/202.74 (step @p103 :rule nary_cong :premises (@p102 @p100 @p98 @p96 @p90 @p88) :args (@t127)) % 202.34/202.74 (step @p104 :rule cong :premises (@p103) :args (@t129)) % 202.34/202.74 (step @p105 :rule cong :premises (@p104) :args (@t130)) % 202.34/202.74 (step @p106 :rule refl :args (@t137)) % 202.34/202.74 (step @p107 :rule cong :premises (@p106) :args (@t138)) % 202.34/202.74 (step @p108 :rule nary_cong :premises (@p107 @p105 @p87 @p85 @p83 @p81 @p75 @p73) :args (@t139)) % 202.34/202.74 (step @p109 :rule cong :premises (@p108) :args (@t140)) % 202.34/202.74 (step @p110 :rule cong :premises (@p109) :args (@t142)) % 202.34/202.74 (step @p111 :rule cong :premises (@p110) :args (@t149)) % 202.34/202.74 (step @p112 :rule trans :premises (@p111 @p72)) % 202.34/202.74 (step @p113 :rule refl :args (tptp.bl_valid)) % 202.34/202.74 (step @p114 :rule ho_cong :premises (@p113 @p110)) % 202.34/202.74 (step @p115 :rule cong :premises (@p114 @p112) :args ((= @t155 @t149))) % 202.34/202.74 (step @p116 :rule symm :premises (@p115)) % 202.34/202.74 (step @p117 :rule refl :args ((_ tptp.bl_valid @t154))) % 202.34/202.74 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 202.34/202.74 (step @p119 :rule cong :premises (@p118) :args ((forall @t18 @t155))) % 202.34/202.74 (step @p120 :rule aci_norm :args ((= @t157 @t139))) % 202.34/202.74 (step @p121 :rule cong :premises (@p120) :args (@t158)) % 202.34/202.74 (step @p122 :rule quant-merge-prenex :args ((= (forall @t44 @t160) @t158))) % 202.34/202.74 (step @p123 :rule alpha_equiv :args (@t161 (@list @t103 @t100 @t89 @t87) (@list @t163 @t119 @t110 @t162))) % 202.34/202.74 (step @p124 :rule refl :args (@t130)) % 202.34/202.74 (step @p125 :rule refl :args (@t138)) % 202.34/202.74 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t164)) % 202.34/202.74 (step @p127 :rule quant-miniscope-or :args ((= @t160 @t164))) % 202.34/202.74 (step @p128 :rule trans :premises (@p127 @p126)) % 202.34/202.74 (step @p129 :rule symm :premises (@p128)) % 202.34/202.74 (step @p130 :rule cong :premises (@p129) :args ((forall @t44 (or @t138 @t130 @t170)))) % 202.34/202.74 (step @p131 :rule trans :premises (@p130 @p122)) % 202.34/202.74 (step @p132 :rule trans :premises (@p131 @p121)) % 202.34/202.74 (step @p133 :rule beta-reduce :args ((= (_ (lambda @t141 (forall @t169 (or (not (tptp.reli @t11 @t163)) @t168 @t121 @t167 @t166 @t165))) @t39) @t170))) % 202.34/202.74 (step @p134 :rule refl :args (@t39)) % 202.34/202.74 (step @p135 :rule alpha_equiv :args (@t174 @t175 (@list @t163))) % 202.34/202.74 (step @p136 :rule cong :premises (@p135) :args (@t176)) % 202.34/202.74 (step @p137 :rule ho_cong :premises (@p136 @p134)) % 202.34/202.74 (step @p138 :rule trans :premises (@p137 @p133)) % 202.34/202.74 (step @p139 :rule refl :args (@t130)) % 202.34/202.74 (step @p140 :rule refl :args (@t138)) % 202.34/202.74 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t177)) % 202.34/202.74 (step @p142 :rule cong :premises (@p141) :args (@t178)) % 202.34/202.74 (step @p143 :rule trans :premises (@p142 @p132)) % 202.34/202.74 (step @p144 :rule cong :premises (@p143) :args (@t179)) % 202.34/202.74 (step @p145 :rule beta-reduce :args ((= (_ (lambda @t181 (forall @t44 (or @t138 @t130 @t180))) @t176) @t179))) % 202.34/202.74 (step @p146 :rule trans :premises (@p145 @p144)) % 202.34/202.74 (step @p147 :rule aci_norm :args ((= @t183 @t172))) % 202.34/202.74 (step @p148 :rule cong :premises (@p147) :args (@t184)) % 202.34/202.74 (step @p149 :rule quant-merge-prenex :args ((= (forall @t187 @t186) @t184))) % 202.34/202.74 (step @p150 :rule alpha_equiv :args (@t188 (@list @t162) @t190)) % 202.34/202.74 (step @p151 :rule refl :args (@t167)) % 202.34/202.74 (step @p152 :rule refl :args (@t121)) % 202.34/202.74 (step @p153 :rule refl :args (@t171)) % 202.34/202.74 (step @p154 :rule nary_cong :premises (@p125 @p153 @p152 @p151 @p150) :args (@t191)) % 202.34/202.74 (step @p155 :rule quant-miniscope-or :args ((= @t186 @t191))) % 202.34/202.74 (step @p156 :rule trans :premises (@p155 @p154)) % 202.34/202.74 (step @p157 :rule symm :premises (@p156)) % 202.34/202.74 (step @p158 :rule cong :premises (@p157) :args ((forall @t187 (or @t138 @t171 @t121 @t167 (forall (@list @t189) (or (not (tptp.reli @t110 @t189)) (_ @t1 @t189))))))) % 202.34/202.74 (step @p159 :rule trans :premises (@p158 @p149)) % 202.34/202.74 (step @p160 :rule trans :premises (@p159 @p148)) % 202.34/202.74 (step @p161 :rule alpha_equiv :args (@t193 @t175 @t190)) % 202.34/202.74 (step @p162 :rule nary_cong :premises (@p125 @p153 @p152 @p151 @p161) :args (@t194)) % 202.34/202.74 (step @p163 :rule cong :premises (@p162) :args ((forall @t187 @t194))) % 202.34/202.74 (step @p164 :rule trans :premises (@p163 @p160)) % 202.34/202.74 (step @p165 :rule beta-reduce :args ((= @t196 @t193))) % 202.34/202.74 (step @p166 :rule refl :args (@t167)) % 202.34/202.74 (step @p167 :rule refl :args (@t121)) % 202.34/202.74 (step @p168 :rule refl :args (@t171)) % 202.34/202.74 (step @p169 :rule nary_cong :premises (@p140 @p168 @p167 @p166 @p165) :args (@t197)) % 202.34/202.74 (step @p170 :rule cong :premises (@p169) :args (@t198)) % 202.34/202.74 (step @p171 :rule trans :premises (@p170 @p164)) % 202.34/202.74 (step @p172 :rule cong :premises (@p171) :args (@t199)) % 202.34/202.74 (step @p173 :rule beta-reduce :args ((= (_ @t203 @t195) @t199))) % 202.34/202.74 (step @p174 :rule trans :premises (@p173 @p172)) % 202.34/202.74 (step @p175 :rule beta-reduce :args ((= @t207 @t195))) % 202.34/202.74 (step @p176 :rule beta-reduce :args ((= @t209 @t203))) % 202.34/202.74 (step @p177 :rule ho_cong :premises (@p176 @p175)) % 202.34/202.74 (step @p178 :rule trans :premises (@p177 @p174)) % 202.34/202.74 (step @p179 :rule refl :args (@t180)) % 202.34/202.74 (step @p180 :rule beta-reduce :args ((= (_ (lambda @t141 (forall @t128 (or (not (tptp.reli @t11 @t122)) @t124 @t121 @t118 @t112 @t109))) @t39) @t129))) % 202.34/202.74 (step @p181 :rule alpha_equiv :args (@t212 @t175 (@list @t122))) % 202.34/202.74 (step @p182 :rule cong :premises (@p181) :args (@t213)) % 202.34/202.74 (step @p183 :rule ho_cong :premises (@p182 @p134)) % 202.34/202.74 (step @p184 :rule trans :premises (@p183 @p180)) % 202.34/202.74 (step @p185 :rule cong :premises (@p184) :args (@t214)) % 202.34/202.74 (step @p186 :rule nary_cong :premises (@p140 @p185 @p179) :args (@t215)) % 202.34/202.74 (step @p187 :rule cong :premises (@p186) :args (@t216)) % 202.34/202.74 (step @p188 :rule cong :premises (@p187) :args (@t217)) % 202.34/202.74 (step @p189 :rule beta-reduce :args ((= (_ @t220 @t213) @t217))) % 202.34/202.74 (step @p190 :rule trans :premises (@p189 @p188)) % 202.34/202.74 (step @p191 :rule aci_norm :args ((= @t222 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202.34/202.74 (step @p631 :rule eq_resolve :premises (@p630 @p625)) % 202.34/202.74 (step @p632 :rule chain_m_resolution :premises (@p631 @p622) :args (@t350 (@list false) (@list @t355))) % 202.34/202.74 (step @p633 :rule cnf_or_neg :args (@t347 7)) % 202.34/202.74 (step @p634 :rule chain_m_resolution :premises (@p633 @p471) :args ((not @t330) @t348 @t349)) % 202.34/202.74 (step @p635 :rule bool-double-not-elim :args (@t332)) % 202.34/202.74 (step @p636 :rule nary_cong :premises (@p473 @p635) :args ((or @t347 (not @t333)))) % 202.34/202.74 (step @p637 :rule cnf_or_neg :args (@t347 6)) % 202.34/202.74 (step @p638 :rule eq_resolve :premises (@p637 @p636)) % 202.34/202.74 (step @p639 :rule reordering :premises (@p638) :args ((or @t332 @t347))) % 202.34/202.74 (step @p640 :rule chain_m_resolution :premises (@p639 @p471) :args (@t332 @t348 @t349)) % 202.34/202.74 (step @p641 :rule bool-double-not-elim :args (@t342)) % 202.34/202.74 (step @p642 :rule nary_cong :premises (@p473 @p641) :args ((or @t347 (not @t343)))) % 202.34/202.74 (step @p643 :rule cnf_or_neg :args (@t347 3)) % 202.34/202.74 (step @p644 :rule eq_resolve :premises (@p643 @p642)) % 202.34/202.74 (step @p645 :rule reordering :premises (@p644) :args ((or @t342 @t347))) % 202.34/202.74 (step @p646 :rule chain_m_resolution :premises (@p645 @p471) :args (@t342 @t348 @t349)) % 202.34/202.74 (step @p647 :rule bool-double-not-elim :args (@t344)) % 202.34/202.74 (step @p648 :rule nary_cong :premises (@p473 @p647) :args ((or @t347 (not @t345)))) % 202.34/202.74 (step @p649 :rule cnf_or_neg :args (@t347 2)) % 202.34/202.74 (step @p650 :rule eq_resolve :premises (@p649 @p648)) % 202.34/202.74 (step @p651 :rule reordering :premises (@p650) :args ((or @t344 @t347))) % 202.34/202.74 (step @p652 :rule chain_m_resolution :premises (@p651 @p471) :args (@t344 @t348 @t349)) % 202.34/202.74 (step @p653 :rule cnf_or_pos :args (@t426)) % 202.34/202.74 (step @p654 :rule reordering :premises (@p653) :args ((or @t345 @t343 @t340 @t333 @t330 @t425 @t427))) % 202.34/202.74 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p646 @p500 @p640 @p634 @p632) :args (@t427 @t423 (@list @t344 @t342 @t339 @t332 @t330 @t350))) % 202.34/202.74 (assume-push @p664 @t328) % 202.34/202.74 (step @p657 :rule instantiate :premises (@p478) :args ((@list @t341 @t338 @t331 @t329))) % 202.34/202.74 (step-pop @p665 :rule scope :premises (@p657)) % 202.34/202.74 (step @p658 :rule process_scope :premises (@p665) :args (@t426)) % 202.34/202.74 (step @p660 :rule implies_elim :premises (@p658)) % 202.34/202.74 (step @p661 false :rule chain_m_resolution :premises (@p660 @p655 @p478) :args (false (@list true false) (@list @t426 @t328))) % 202.34/202.74 ) % 202.34/202.74 % SZS output end Proof % 202.34/202.74 % cvc5 exiting %------------------------------------------------------------------------------