%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN367^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 09:08:42 AM UTC 2026 % Result : Theorem 201.93s 202.53s % Output : Proof 201.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN367^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.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 23:25:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 201.93/202.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 201.93/202.53 --- 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... % 201.93/202.53 --- 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... % 201.93/202.53 --- Run --ho-elim --full-saturate-quant at 18s... % 201.93/202.53 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 201.93/202.53 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 201.93/202.53 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 201.93/202.53 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 201.93/202.53 % SZS status Theorem % 201.93/202.53 % SZS output start Proof % 201.93/202.53 ( % 201.93/202.53 (declare-sort $$unsorted 0) % 201.93/202.53 (declare-sort tptp.mu 0) % 201.93/202.53 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 201.93/202.53 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 201.93/202.53 (declare-const tptp.p (-> $$unsorted Bool)) % 201.93/202.53 (declare-const tptp.big_q (-> tptp.mu $$unsorted Bool)) % 201.93/202.53 (declare-const tptp.big_r (-> tptp.mu $$unsorted Bool)) % 201.93/202.53 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 201.93/202.53 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 201.93/202.53 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 201.93/202.53 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 201.93/202.53 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 201.93/202.53 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 201.93/202.53 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 201.93/202.53 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 201.93/202.53 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 201.93/202.53 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 201.93/202.53 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 201.93/202.53 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 201.93/202.53 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 201.93/202.53 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 201.93/202.53 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 201.93/202.53 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 201.93/202.53 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 201.93/202.53 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 201.93/202.53 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 201.93/202.53 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 201.93/202.53 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 201.93/202.53 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 201.93/202.53 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 201.93/202.53 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 201.93/202.53 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 201.93/202.53 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 201.93/202.53 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 201.93/202.53 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 201.93/202.53 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 201.93/202.53 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 201.93/202.53 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 201.93/202.53 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 201.93/202.53 (define @t1 () (@var "V" $$unsorted)) % 201.93/202.53 (define @t2 () (@var "X" tptp.mu)) % 201.93/202.53 (define @t3 () (_ tptp.exists_in_world @t2)) % 201.93/202.53 (define @t4 () (_ @t3 @t1)) % 201.93/202.53 (define @t5 () (@list @t2)) % 201.93/202.53 (define @t6 () (exists @t5 @t4)) % 201.93/202.53 (define @t7 () (@list @t1)) % 201.93/202.53 (define @t8 () (forall @t7 @t6)) % 201.93/202.53 (define @t9 () (@var "W" $$unsorted)) % 201.93/202.53 (define @t10 () (_ @t3 @t9)) % 201.93/202.53 (define @t11 () (_ (_ tptp.rel_s4 @t1) @t9)) % 201.93/202.53 (define @t12 () (and @t4 @t11)) % 201.93/202.53 (define @t13 () (@list @t2 @t1 @t9)) % 201.93/202.53 (define @t14 () (forall @t13 (=> @t12 @t10))) % 201.93/202.53 (define @t15 () (@var "__flatten_var_0" $$unsorted)) % 201.93/202.53 (define @t16 () (_ tptp.big_r @t2)) % 201.93/202.53 (define @t17 () (_ tptp.mbox_s4 @t16)) % 201.93/202.53 (define @t18 () (@list @t2 @t15)) % 201.93/202.53 (define @t19 () (lambda @t18 (_ @t17 @t15))) % 201.93/202.53 (define @t20 () (_ tptp.big_q @t2)) % 201.93/202.53 (define @t21 () (_ tptp.mbox_s4 @t20)) % 201.93/202.53 (define @t22 () (lambda @t18 (_ @t21 @t15))) % 201.93/202.53 (define @t23 () (_ tptp.mbox_s4 tptp.p)) % 201.93/202.53 (define @t24 () (lambda @t18 (_ (_ (_ tptp.mor (_ (_ tptp.mand @t23) @t21)) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot @t23))) @t17)) @t15))) % 201.93/202.53 (define @t25 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ tptp.mforall_ind @t24))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ tptp.mforall_ind @t22))) (_ tptp.mbox_s4 (_ tptp.mforall_ind @t19)))))))) % 201.93/202.53 (define @t26 () (@var "Y" (-> $$unsorted Bool))) % 201.93/202.53 (define @t27 () (@var "X" (-> $$unsorted Bool))) % 201.93/202.53 (define @t28 () (lambda (@list @t27 @t26 @t9) (= (_ @t27 @t9) (_ @t26 @t9)))) % 201.93/202.53 (define @t29 () (@var "Phi" (-> $$unsorted Bool))) % 201.93/202.53 (define @t30 () (_ @t29 @t9)) % 201.93/202.53 (define @t31 () (not @t30)) % 201.93/202.53 (define @t32 () (@list @t29 @t9)) % 201.93/202.53 (define @t33 () (lambda @t32 @t31)) % 201.93/202.53 (define @t34 () (@var "Psi" (-> $$unsorted Bool))) % 201.93/202.53 (define @t35 () (_ @t34 @t9)) % 201.93/202.53 (define @t36 () (lambda (@list @t29 @t34 @t9) (or @t30 @t35))) % 201.93/202.53 (define @t37 () (_ @t29 @t1)) % 201.93/202.53 (define @t38 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 201.93/202.53 (define @t39 () (lambda (@list @t38 @t29 @t9) (forall @t7 (or (not (_ (_ @t38 @t9) @t1)) @t37)))) % 201.93/202.53 (define @t40 () (@var "P" (-> $$unsorted Bool))) % 201.93/202.53 (define @t41 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 201.93/202.53 (define @t42 () (_ @t41 @t40)) % 201.93/202.53 (define @t43 () (lambda (@list @t41 @t9) (forall (@list @t40) (_ @t42 @t9)))) % 201.93/202.53 (define @t44 () (@list @t9)) % 201.93/202.53 (define @t45 () (lambda @t44 true)) % 201.93/202.53 (define @t46 () (_ tptp.mnot @t34)) % 201.93/202.53 (define @t47 () (_ tptp.mnot @t29)) % 201.93/202.53 (define @t48 () (_ tptp.mor @t47)) % 201.93/202.53 (define @t49 () (@list @t29 @t34 @t15)) % 201.93/202.53 (define @t50 () (lambda @t49 (_ (_ tptp.mnot (_ @t48 @t46)) @t15))) % 201.93/202.53 (define @t51 () (lambda @t49 (_ (_ @t48 @t34) @t15))) % 201.93/202.53 (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t46) @t29) @t15))) % 201.93/202.53 (define @t53 () (lambda @t49 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t29) @t34)) (_ (_ tptp.mimplies @t34) @t29)) @t15))) % 201.93/202.53 (define @t54 () (lambda @t49 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t29) @t34)) @t15))) % 201.93/202.53 (define @t55 () (lambda (@list @t38 @t29 @t15) (_ (_ tptp.mnot (_ (_ tptp.mbox @t38) @t47)) @t15))) % 201.93/202.53 (define @t56 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 201.93/202.53 (define @t57 () (_ @t56 @t2)) % 201.93/202.53 (define @t58 () (_ @t57 @t9)) % 201.93/202.53 (define @t59 () (forall @t5 (=> @t10 @t58))) % 201.93/202.53 (define @t60 () (@list @t56 @t9)) % 201.93/202.53 (define @t61 () (lambda @t60 @t59)) % 201.93/202.53 (define @t62 () (lambda (@list @t56 @t15) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mnot @t57) @t15)))) @t15))) % 201.93/202.53 (define @t63 () (lambda (@list @t41 @t15) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t40 @t15) (_ (_ tptp.mnot @t42) @t15)))) @t15))) % 201.93/202.53 (define @t64 () (@var "S" $$unsorted)) % 201.93/202.53 (define @t65 () (_ @t38 @t64)) % 201.93/202.53 (define @t66 () (_ @t65 @t64)) % 201.93/202.53 (define @t67 () (@list @t64)) % 201.93/202.53 (define @t68 () (forall @t67 @t66)) % 201.93/202.53 (define @t69 () (@list @t38)) % 201.93/202.53 (define @t70 () (lambda @t69 @t68)) % 201.93/202.53 (define @t71 () (@var "T" $$unsorted)) % 201.93/202.53 (define @t72 () (_ @t38 @t71)) % 201.93/202.53 (define @t73 () (_ @t65 @t71)) % 201.93/202.53 (define @t74 () (lambda @t69 (forall (@list @t64 @t71) (=> @t73 (_ @t72 @t64))))) % 201.93/202.53 (define @t75 () (@list @t71)) % 201.93/202.53 (define @t76 () (lambda @t69 (forall @t67 (exists @t75 @t73)))) % 201.93/202.53 (define @t77 () (@var "U" $$unsorted)) % 201.93/202.53 (define @t78 () (_ @t65 @t77)) % 201.93/202.53 (define @t79 () (_ @t72 @t77)) % 201.93/202.53 (define @t80 () (and @t73 @t79)) % 201.93/202.53 (define @t81 () (@list @t64 @t71 @t77)) % 201.93/202.53 (define @t82 () (forall @t81 (=> @t80 @t78))) % 201.93/202.53 (define @t83 () (lambda @t69 @t82)) % 201.93/202.53 (define @t84 () (and @t73 @t78)) % 201.93/202.53 (define @t85 () (lambda @t69 (forall @t81 (=> @t84 @t79)))) % 201.93/202.53 (define @t86 () (= @t71 @t77)) % 201.93/202.53 (define @t87 () (lambda @t69 (forall @t81 (=> @t84 @t86)))) % 201.93/202.53 (define @t88 () (@list @t77)) % 201.93/202.53 (define @t89 () (lambda @t69 (forall @t67 (exists @t75 (and @t73 (forall @t88 (=> @t78 @t86))))))) % 201.93/202.53 (define @t90 () (_ @t38 @t77)) % 201.93/202.53 (define @t91 () (_ @t90 @t71)) % 201.93/202.53 (define @t92 () (lambda @t69 (forall @t81 (=> @t73 (exists @t88 (and @t78 @t91)))))) % 201.93/202.53 (define @t93 () (lambda @t69 (forall @t81 (=> @t84 (or @t79 @t86 @t91))))) % 201.93/202.53 (define @t94 () (lambda @t69 (forall @t81 (=> @t84 (exists @t7 (and (_ @t72 @t1) (_ @t90 @t1))))))) % 201.93/202.53 (define @t95 () (forall @t44 @t30)) % 201.93/202.53 (define @t96 () (@list @t29)) % 201.93/202.53 (define @t97 () (lambda @t96 @t95)) % 201.93/202.53 (define @t98 () (lambda @t96 (exists @t44 @t30))) % 201.93/202.53 (define @t99 () (lambda @t96 (exists @t44 @t31))) % 201.93/202.53 (define @t100 () (lambda @t96 (forall @t44 @t31))) % 201.93/202.53 (define @t101 () (_ (_ tptp.rel_s4 @t9) @t1)) % 201.93/202.53 (define @t102 () (not @t101)) % 201.93/202.53 (define @t103 () (or @t102 @t37)) % 201.93/202.53 (define @t104 () (forall @t7 @t103)) % 201.93/202.53 (define @t105 () (lambda @t32 @t104)) % 201.93/202.53 (define @t106 () (lambda (@list @t29 @t15) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t47)) @t15))) % 201.93/202.53 (define @t107 () (_ @t38 @t64 @t64)) % 201.93/202.53 (define @t108 () (@var "BOUND_VARIABLE_8959" $$unsorted)) % 201.93/202.53 (define @t109 () (@var "BOUND_VARIABLE_8957" tptp.mu)) % 201.93/202.53 (define @t110 () (tptp.big_r @t109 @t108)) % 201.93/202.53 (define @t111 () (@var "BOUND_VARIABLE_8955" $$unsorted)) % 201.93/202.53 (define @t112 () (not (tptp.rel_s4 @t111 @t108))) % 201.93/202.53 (define @t113 () (not (tptp.exists_in_world @t109 @t111))) % 201.93/202.53 (define @t114 () (not (tptp.rel_s4 @t1 @t111))) % 201.93/202.53 (define @t115 () (@var "BOUND_VARIABLE_8945" $$unsorted)) % 201.93/202.53 (define @t116 () (@var "BOUND_VARIABLE_8943" tptp.mu)) % 201.93/202.53 (define @t117 () (tptp.big_q @t116 @t115)) % 201.93/202.53 (define @t118 () (@var "BOUND_VARIABLE_8941" $$unsorted)) % 201.93/202.53 (define @t119 () (not (tptp.rel_s4 @t118 @t115))) % 201.93/202.53 (define @t120 () (not (tptp.exists_in_world @t116 @t118))) % 201.93/202.53 (define @t121 () (not (tptp.rel_s4 @t1 @t118))) % 201.93/202.53 (define @t122 () (@var "BOUND_VARIABLE_8705" $$unsorted)) % 201.93/202.53 (define @t123 () (@var "BOUND_VARIABLE_8697" tptp.mu)) % 201.93/202.53 (define @t124 () (tptp.big_r @t123 @t122)) % 201.93/202.53 (define @t125 () (@var "BOUND_VARIABLE_8897" $$unsorted)) % 201.93/202.53 (define @t126 () (@var "BOUND_VARIABLE_8559" $$unsorted)) % 201.93/202.53 (define @t127 () (tptp.p @t126)) % 201.93/202.53 (define @t128 () (@var "BOUND_VARIABLE_8703" $$unsorted)) % 201.93/202.53 (define @t129 () (@list @t126)) % 201.93/202.53 (define @t130 () (not (forall @t129 (or (not (tptp.rel_s4 @t128 @t126)) @t127)))) % 201.93/202.53 (define @t131 () (and (or (not (tptp.rel_s4 @t125 @t128)) @t130) (or (not (tptp.rel_s4 @t125 @t122)) @t124))) % 201.93/202.53 (define @t132 () (@var "BOUND_VARIABLE_8701" $$unsorted)) % 201.93/202.53 (define @t133 () (tptp.big_q @t123 @t132)) % 201.93/202.53 (define @t134 () (@var "BOUND_VARIABLE_8699" $$unsorted)) % 201.93/202.53 (define @t135 () (tptp.p @t134)) % 201.93/202.53 (define @t136 () (and (or (not (tptp.rel_s4 @t125 @t134)) @t135) (or (not (tptp.rel_s4 @t125 @t132)) @t133))) % 201.93/202.53 (define @t137 () (not (tptp.exists_in_world @t123 @t125))) % 201.93/202.53 (define @t138 () (@list @t125 @t123 @t134 @t132 @t128 @t122)) % 201.93/202.53 (define @t139 () (not (forall @t138 (or (not (tptp.rel_s4 @t1 @t125)) @t137 @t136 @t131)))) % 201.93/202.53 (define @t140 () (tptp.rel_s4 @t9 @t1)) % 201.93/202.53 (define @t141 () (not @t140)) % 201.93/202.53 (define @t142 () (or @t141 @t139 @t121 @t120 @t119 @t117 @t114 @t113 @t112 @t110)) % 201.93/202.53 (define @t143 () (forall (@list @t9 @t1 @t118 @t116 @t115 @t111 @t109 @t108) @t142)) % 201.93/202.53 (define @t144 () (@quantifiers_skolemize @t143 1)) % 201.93/202.53 (define @t145 () (@list @t1 @t118 @t116 @t115 @t111 @t109 @t108)) % 201.93/202.53 (define @t146 () (forall @t145 @t142)) % 201.93/202.53 (define @t147 () (lambda @t44 @t146)) % 201.93/202.53 (define @t148 () (_ @t147 @t9)) % 201.93/202.53 (define @t149 () (forall @t44 @t148)) % 201.93/202.53 (define @t150 () (_ @t29 @t9)) % 201.93/202.53 (define @t151 () (lambda @t96 (forall @t44 @t150))) % 201.93/202.53 (define @t152 () (or @t114 @t113 @t112 @t110)) % 201.93/202.53 (define @t153 () (or @t121 @t120 @t119 @t117)) % 201.93/202.53 (define @t154 () (or @t141 @t139 @t153 @t152)) % 201.93/202.53 (define @t155 () (forall @t145 @t154)) % 201.93/202.53 (define @t156 () (forall (@list @t118 @t116 @t115 @t111 @t109 @t108) @t154)) % 201.93/202.53 (define @t157 () (forall (@list @t111 @t109 @t108) @t152)) % 201.93/202.53 (define @t158 () (@var "BOUND_VARIABLE_8836" $$unsorted)) % 201.93/202.53 (define @t159 () (@var "BOUND_VARIABLE_8834" tptp.mu)) % 201.93/202.53 (define @t160 () (@var "BOUND_VARIABLE_8875" $$unsorted)) % 201.93/202.53 (define @t161 () (forall (@list @t118 @t116 @t115) @t153)) % 201.93/202.53 (define @t162 () (@var "BOUND_VARIABLE_8782" $$unsorted)) % 201.93/202.53 (define @t163 () (@var "BOUND_VARIABLE_8780" tptp.mu)) % 201.93/202.53 (define @t164 () (@var "BOUND_VARIABLE_8886" $$unsorted)) % 201.93/202.53 (define @t165 () (or @t141 @t139 @t161 @t157)) % 201.93/202.53 (define @t166 () (tptp.big_r @t159 @t158)) % 201.93/202.53 (define @t167 () (not (tptp.rel_s4 @t160 @t158))) % 201.93/202.53 (define @t168 () (not (tptp.exists_in_world @t159 @t160))) % 201.93/202.53 (define @t169 () (@list @t160 @t159 @t158)) % 201.93/202.53 (define @t170 () (forall @t169 (or (not (tptp.rel_s4 @t1 @t160)) @t168 @t167 @t166))) % 201.93/202.53 (define @t171 () (tptp.big_q @t163 @t162)) % 201.93/202.53 (define @t172 () (not (tptp.rel_s4 @t164 @t162))) % 201.93/202.53 (define @t173 () (not (tptp.exists_in_world @t163 @t164))) % 201.93/202.53 (define @t174 () (@list @t164 @t163 @t162)) % 201.93/202.53 (define @t175 () (forall @t174 (or (not (tptp.rel_s4 @t1 @t164)) @t173 @t172 @t171))) % 201.93/202.53 (define @t176 () (or @t141 @t139 @t175 @t170)) % 201.93/202.53 (define @t177 () (or @t139 @t175 @t170)) % 201.93/202.53 (define @t178 () (@list @t15)) % 201.93/202.53 (define @t179 () (not (tptp.rel_s4 @t1 @t158))) % 201.93/202.53 (define @t180 () (not (tptp.exists_in_world @t159 @t1))) % 201.93/202.53 (define @t181 () (not (tptp.rel_s4 @t15 @t1))) % 201.93/202.53 (define @t182 () (@list @t1 @t159 @t158)) % 201.93/202.53 (define @t183 () (forall @t182 (or @t181 @t180 @t179 @t166))) % 201.93/202.53 (define @t184 () (@list @t1)) % 201.93/202.53 (define @t185 () (not (tptp.rel_s4 @t1 @t162))) % 201.93/202.53 (define @t186 () (not (tptp.exists_in_world @t163 @t1))) % 201.93/202.53 (define @t187 () (@list @t1 @t163 @t162)) % 201.93/202.53 (define @t188 () (forall @t187 (or @t181 @t186 @t185 @t171))) % 201.93/202.53 (define @t189 () (and (or (not (tptp.rel_s4 @t1 @t128)) @t130) (or (not (tptp.rel_s4 @t1 @t122)) @t124))) % 201.93/202.53 (define @t190 () (and (or (not (tptp.rel_s4 @t1 @t134)) @t135) (or (not (tptp.rel_s4 @t1 @t132)) @t133))) % 201.93/202.53 (define @t191 () (not (tptp.exists_in_world @t123 @t1))) % 201.93/202.53 (define @t192 () (@list @t1 @t123 @t134 @t132 @t128 @t122)) % 201.93/202.53 (define @t193 () (forall @t192 (or @t181 @t191 @t190 @t189))) % 201.93/202.53 (define @t194 () (not @t193)) % 201.93/202.53 (define @t195 () (or @t194 @t188 @t183)) % 201.93/202.53 (define @t196 () (lambda @t178 @t195)) % 201.93/202.53 (define @t197 () (or @t141 (_ @t196 @t1))) % 201.93/202.53 (define @t198 () (forall @t7 @t197)) % 201.93/202.53 (define @t199 () (lambda @t44 @t198)) % 201.93/202.53 (define @t200 () (_ @t29 @t1)) % 201.93/202.53 (define @t201 () (lambda @t32 (forall @t7 (or @t141 @t200)))) % 201.93/202.53 (define @t202 () (or @t188 @t183)) % 201.93/202.53 (define @t203 () (or @t141 @t180 @t179 @t166)) % 201.93/202.53 (define @t204 () (forall @t182 @t203)) % 201.93/202.53 (define @t205 () (or @t141 @t186 @t185 @t171)) % 201.93/202.53 (define @t206 () (forall @t187 @t205)) % 201.93/202.53 (define @t207 () (lambda @t44 (or @t206 @t204))) % 201.93/202.53 (define @t208 () (_ @t207 @t15)) % 201.93/202.53 (define @t209 () (or @t194 @t208)) % 201.93/202.53 (define @t210 () (lambda @t178 @t209)) % 201.93/202.53 (define @t211 () (_ @t34 @t15)) % 201.93/202.53 (define @t212 () (@list @t34 @t15)) % 201.93/202.53 (define @t213 () (lambda @t44 @t204)) % 201.93/202.53 (define @t214 () (_ @t213 @t9)) % 201.93/202.53 (define @t215 () (or @t206 @t214)) % 201.93/202.53 (define @t216 () (lambda @t44 @t215)) % 201.93/202.53 (define @t217 () (@list @t34 @t9)) % 201.93/202.53 (define @t218 () (or @t180 @t179 @t166)) % 201.93/202.53 (define @t219 () (or @t141 @t218)) % 201.93/202.53 (define @t220 () (forall @t182 @t219)) % 201.93/202.53 (define @t221 () (@list @t159 @t158)) % 201.93/202.53 (define @t222 () (forall @t221 @t219)) % 201.93/202.53 (define @t223 () (forall @t221 @t218)) % 201.93/202.53 (define @t224 () (@var "BOUND_VARIABLE_8811" $$unsorted)) % 201.93/202.53 (define @t225 () (or @t141 @t223)) % 201.93/202.53 (define @t226 () (tptp.big_r @t2 @t224)) % 201.93/202.53 (define @t227 () (tptp.exists_in_world @t2 @t1)) % 201.93/202.53 (define @t228 () (not @t227)) % 201.93/202.53 (define @t229 () (@list @t2 @t224)) % 201.93/202.53 (define @t230 () (forall @t229 (or @t228 (not (tptp.rel_s4 @t1 @t224)) @t226))) % 201.93/202.53 (define @t231 () (not (tptp.rel_s4 @t9 @t224))) % 201.93/202.53 (define @t232 () (tptp.exists_in_world @t2 @t9)) % 201.93/202.53 (define @t233 () (not @t232)) % 201.93/202.53 (define @t234 () (or @t233 @t231 @t226)) % 201.93/202.53 (define @t235 () (lambda @t44 (forall @t229 @t234))) % 201.93/202.53 (define @t236 () (_ @t235 @t1)) % 201.93/202.53 (define @t237 () (or @t141 @t236)) % 201.93/202.53 (define @t238 () (forall @t7 @t237)) % 201.93/202.53 (define @t239 () (lambda @t44 @t238)) % 201.93/202.53 (define @t240 () (or @t231 @t226)) % 201.93/202.53 (define @t241 () (or @t233 @t240)) % 201.93/202.53 (define @t242 () (forall @t229 @t241)) % 201.93/202.53 (define @t243 () (@list @t224)) % 201.93/202.53 (define @t244 () (forall @t243 @t241)) % 201.93/202.53 (define @t245 () (forall @t243 @t240)) % 201.93/202.53 (define @t246 () (or @t233 @t245)) % 201.93/202.53 (define @t247 () (tptp.big_r @t2 @t1)) % 201.93/202.53 (define @t248 () (forall @t7 (or @t141 @t247))) % 201.93/202.53 (define @t249 () (forall @t7 (or @t181 @t247))) % 201.93/202.53 (define @t250 () (lambda @t18 @t249)) % 201.93/202.53 (define @t251 () (_ @t250 @t2 @t9)) % 201.93/202.53 (define @t252 () (or @t233 @t251)) % 201.93/202.53 (define @t253 () (forall @t5 @t252)) % 201.93/202.53 (define @t254 () (lambda @t44 @t253)) % 201.93/202.53 (define @t255 () (_ @t56 @t2 @t9)) % 201.93/202.53 (define @t256 () (lambda @t60 (forall @t5 (or @t233 @t255)))) % 201.93/202.53 (define @t257 () (lambda @t44 @t248)) % 201.93/202.53 (define @t258 () (_ @t257 @t15)) % 201.93/202.53 (define @t259 () (_ @t16 @t1)) % 201.93/202.53 (define @t260 () (or @t141 @t259)) % 201.93/202.53 (define @t261 () (_ @t16 @t1)) % 201.93/202.53 (define @t262 () (or @t141 @t261)) % 201.93/202.53 (define @t263 () (forall @t7 @t262)) % 201.93/202.53 (define @t264 () (lambda @t44 @t263)) % 201.93/202.53 (define @t265 () (_ @t201 @t16)) % 201.93/202.53 (define @t266 () (lambda @t18 (_ @t265 @t15))) % 201.93/202.53 (define @t267 () (lambda @t44 @t206)) % 201.93/202.53 (define @t268 () (_ @t267 @t9)) % 201.93/202.53 (define @t269 () (or @t268 @t35)) % 201.93/202.53 (define @t270 () (lambda @t217 @t269)) % 201.93/202.53 (define @t271 () (or @t186 @t185 @t171)) % 201.93/202.53 (define @t272 () (or @t141 @t271)) % 201.93/202.53 (define @t273 () (forall @t187 @t272)) % 201.93/202.53 (define @t274 () (@list @t163 @t162)) % 201.93/202.53 (define @t275 () (forall @t274 @t272)) % 201.93/202.53 (define @t276 () (forall @t274 @t271)) % 201.93/202.53 (define @t277 () (@var "BOUND_VARIABLE_8757" $$unsorted)) % 201.93/202.53 (define @t278 () (or @t141 @t276)) % 201.93/202.53 (define @t279 () (tptp.big_q @t2 @t277)) % 201.93/202.53 (define @t280 () (@list @t2 @t277)) % 201.93/202.53 (define @t281 () (forall @t280 (or @t228 (not (tptp.rel_s4 @t1 @t277)) @t279))) % 201.93/202.53 (define @t282 () (not (tptp.rel_s4 @t9 @t277))) % 201.93/202.53 (define @t283 () (or @t233 @t282 @t279)) % 201.93/202.53 (define @t284 () (lambda @t44 (forall @t280 @t283))) % 201.93/202.53 (define @t285 () (_ @t284 @t1)) % 201.93/202.53 (define @t286 () (or @t141 @t285)) % 201.93/202.53 (define @t287 () (forall @t7 @t286)) % 201.93/202.53 (define @t288 () (lambda @t44 @t287)) % 201.93/202.53 (define @t289 () (or @t282 @t279)) % 201.93/202.53 (define @t290 () (or @t233 @t289)) % 201.93/202.53 (define @t291 () (forall @t280 @t290)) % 201.93/202.53 (define @t292 () (@list @t277)) % 201.93/202.53 (define @t293 () (forall @t292 @t290)) % 201.93/202.53 (define @t294 () (forall @t292 @t289)) % 201.93/202.53 (define @t295 () (or @t233 @t294)) % 201.93/202.53 (define @t296 () (tptp.big_q @t2 @t1)) % 201.93/202.53 (define @t297 () (forall @t7 (or @t141 @t296))) % 201.93/202.53 (define @t298 () (forall @t7 (or @t181 @t296))) % 201.93/202.53 (define @t299 () (lambda @t18 @t298)) % 201.93/202.53 (define @t300 () (_ @t299 @t2 @t9)) % 201.93/202.53 (define @t301 () (or @t233 @t300)) % 201.93/202.53 (define @t302 () (forall @t5 @t301)) % 201.93/202.53 (define @t303 () (lambda @t44 @t302)) % 201.93/202.53 (define @t304 () (lambda @t44 @t297)) % 201.93/202.53 (define @t305 () (_ @t304 @t15)) % 201.93/202.53 (define @t306 () (_ @t20 @t1)) % 201.93/202.53 (define @t307 () (or @t141 @t306)) % 201.93/202.53 (define @t308 () (_ @t20 @t1)) % 201.93/202.53 (define @t309 () (or @t141 @t308)) % 201.93/202.53 (define @t310 () (forall @t7 @t309)) % 201.93/202.53 (define @t311 () (lambda @t44 @t310)) % 201.93/202.53 (define @t312 () (_ @t201 @t20)) % 201.93/202.53 (define @t313 () (lambda @t18 (_ @t312 @t15))) % 201.93/202.53 (define @t314 () (or @t141 @t191 @t190 @t189)) % 201.93/202.53 (define @t315 () (lambda @t44 (forall @t192 @t314))) % 201.93/202.53 (define @t316 () (_ @t315 @t15)) % 201.93/202.53 (define @t317 () (not @t316)) % 201.93/202.53 (define @t318 () (or @t317 @t211)) % 201.93/202.53 (define @t319 () (lambda @t212 @t318)) % 201.93/202.53 (define @t320 () (not (_ @t29 @t15))) % 201.93/202.53 (define @t321 () (or @t320 @t211)) % 201.93/202.53 (define @t322 () (lambda @t49 @t321)) % 201.93/202.53 (define @t323 () (or @t191 @t190 @t189)) % 201.93/202.53 (define @t324 () (or @t141 @t323)) % 201.93/202.53 (define @t325 () (forall @t192 @t324)) % 201.93/202.53 (define @t326 () (@list @t123 @t134 @t132 @t128 @t122)) % 201.93/202.53 (define @t327 () (forall @t326 @t324)) % 201.93/202.53 (define @t328 () (forall @t326 @t323)) % 201.93/202.53 (define @t329 () (@var "BOUND_VARIABLE_8663" $$unsorted)) % 201.93/202.53 (define @t330 () (@var "BOUND_VARIABLE_8653" $$unsorted)) % 201.93/202.53 (define @t331 () (@var "BOUND_VARIABLE_8646" $$unsorted)) % 201.93/202.53 (define @t332 () (@var "BOUND_VARIABLE_8640" $$unsorted)) % 201.93/202.53 (define @t333 () (or @t141 @t328)) % 201.93/202.53 (define @t334 () (tptp.big_r @t2 @t329)) % 201.93/202.53 (define @t335 () (not (forall @t129 (or (not (tptp.rel_s4 @t330 @t126)) @t127)))) % 201.93/202.53 (define @t336 () (tptp.big_q @t2 @t331)) % 201.93/202.53 (define @t337 () (tptp.p @t332)) % 201.93/202.53 (define @t338 () (@list @t2 @t332 @t331 @t330 @t329)) % 201.93/202.53 (define @t339 () (forall @t338 (or @t228 (and (or (not (tptp.rel_s4 @t1 @t332)) @t337) (or (not (tptp.rel_s4 @t1 @t331)) @t336)) (and (or (not (tptp.rel_s4 @t1 @t330)) @t335) (or (not (tptp.rel_s4 @t1 @t329)) @t334))))) % 201.93/202.53 (define @t340 () (or (not (tptp.rel_s4 @t9 @t329)) @t334)) % 201.93/202.53 (define @t341 () (or (not (tptp.rel_s4 @t9 @t330)) @t335)) % 201.93/202.53 (define @t342 () (and @t341 @t340)) % 201.93/202.53 (define @t343 () (or (not (tptp.rel_s4 @t9 @t331)) @t336)) % 201.93/202.53 (define @t344 () (or (not (tptp.rel_s4 @t9 @t332)) @t337)) % 201.93/202.53 (define @t345 () (and @t344 @t343)) % 201.93/202.53 (define @t346 () (or @t233 @t345 @t342)) % 201.93/202.53 (define @t347 () (forall @t338 @t346)) % 201.93/202.53 (define @t348 () (lambda @t44 @t347)) % 201.93/202.53 (define @t349 () (_ @t348 @t1)) % 201.93/202.53 (define @t350 () (or @t141 @t349)) % 201.93/202.53 (define @t351 () (forall @t7 @t350)) % 201.93/202.53 (define @t352 () (lambda @t44 @t351)) % 201.93/202.53 (define @t353 () (forall (@list @t332 @t331 @t330 @t329) @t346)) % 201.93/202.53 (define @t354 () (forall (@list @t329) @t340)) % 201.93/202.53 (define @t355 () (@list @t330 @t329)) % 201.93/202.53 (define @t356 () (forall @t355 @t340)) % 201.93/202.53 (define @t357 () (forall (@list @t330) @t341)) % 201.93/202.53 (define @t358 () (forall @t355 @t341)) % 201.93/202.53 (define @t359 () (and @t358 @t356)) % 201.93/202.53 (define @t360 () (forall @t355 @t342)) % 201.93/202.53 (define @t361 () (forall (@list @t331) @t343)) % 201.93/202.53 (define @t362 () (@list @t332 @t331)) % 201.93/202.53 (define @t363 () (forall @t362 @t343)) % 201.93/202.53 (define @t364 () (forall (@list @t332) @t344)) % 201.93/202.53 (define @t365 () (forall @t362 @t344)) % 201.93/202.53 (define @t366 () (and @t365 @t363)) % 201.93/202.53 (define @t367 () (forall @t362 @t345)) % 201.93/202.53 (define @t368 () (or @t233 @t367 @t360)) % 201.93/202.53 (define @t369 () (not (forall @t129 (or (not (tptp.rel_s4 @t1 @t126)) @t127)))) % 201.93/202.53 (define @t370 () (forall @t7 (or @t141 @t369))) % 201.93/202.53 (define @t371 () (tptp.p @t1)) % 201.93/202.53 (define @t372 () (forall @t7 (or @t141 @t371))) % 201.93/202.53 (define @t373 () (not @t248)) % 201.93/202.53 (define @t374 () (not @t370)) % 201.93/202.53 (define @t375 () (not @t297)) % 201.93/202.53 (define @t376 () (not @t372)) % 201.93/202.53 (define @t377 () (not (or @t374 @t373))) % 201.93/202.53 (define @t378 () (not (or @t376 @t375))) % 201.93/202.53 (define @t379 () (or @t233 @t378 @t377)) % 201.93/202.53 (define @t380 () (or @t378 @t377)) % 201.93/202.53 (define @t381 () (forall @t7 (or @t181 @t369))) % 201.93/202.53 (define @t382 () (not @t381)) % 201.93/202.53 (define @t383 () (not (or @t382 (not @t249)))) % 201.93/202.53 (define @t384 () (forall @t7 (or @t181 @t371))) % 201.93/202.53 (define @t385 () (not @t384)) % 201.93/202.53 (define @t386 () (not (or @t385 (not @t298)))) % 201.93/202.53 (define @t387 () (or @t386 @t383)) % 201.93/202.53 (define @t388 () (lambda @t18 @t387)) % 201.93/202.53 (define @t389 () (_ @t388 @t2 @t9)) % 201.93/202.53 (define @t390 () (or @t233 @t389)) % 201.93/202.53 (define @t391 () (forall @t5 @t390)) % 201.93/202.53 (define @t392 () (lambda @t44 @t391)) % 201.93/202.53 (define @t393 () (lambda @t178 @t383)) % 201.93/202.53 (define @t394 () (_ @t393 @t9)) % 201.93/202.53 (define @t395 () (or @t378 @t394)) % 201.93/202.53 (define @t396 () (lambda @t44 @t395)) % 201.93/202.53 (define @t397 () (not @t258)) % 201.93/202.53 (define @t398 () (or @t382 @t397)) % 201.93/202.53 (define @t399 () (not @t398)) % 201.93/202.53 (define @t400 () (lambda @t178 @t399)) % 201.93/202.53 (define @t401 () (not @t211)) % 201.93/202.53 (define @t402 () (lambda @t44 @t370)) % 201.93/202.53 (define @t403 () (_ @t402 @t15)) % 201.93/202.53 (define @t404 () (not @t403)) % 201.93/202.53 (define @t405 () (or @t404 @t401)) % 201.93/202.53 (define @t406 () (not @t405)) % 201.93/202.53 (define @t407 () (lambda @t212 @t406)) % 201.93/202.53 (define @t408 () (not (or @t320 @t401))) % 201.93/202.53 (define @t409 () (lambda @t49 @t408)) % 201.93/202.53 (define @t410 () (lambda @t44 @t376)) % 201.93/202.53 (define @t411 () (or @t141 (_ @t410 @t1))) % 201.93/202.53 (define @t412 () (forall @t7 @t411)) % 201.93/202.53 (define @t413 () (lambda @t44 @t412)) % 201.93/202.53 (define @t414 () (lambda @t44 @t372)) % 201.93/202.53 (define @t415 () (_ @t414 @t9)) % 201.93/202.53 (define @t416 () (not @t415)) % 201.93/202.53 (define @t417 () (lambda @t44 @t416)) % 201.93/202.53 (define @t418 () (_ @t201 tptp.p)) % 201.93/202.53 (define @t419 () (lambda @t178 @t386)) % 201.93/202.53 (define @t420 () (_ @t419 @t9)) % 201.93/202.53 (define @t421 () (or @t420 @t35)) % 201.93/202.53 (define @t422 () (lambda @t217 @t421)) % 201.93/202.53 (define @t423 () (not @t305)) % 201.93/202.53 (define @t424 () (or @t385 @t423)) % 201.93/202.53 (define @t425 () (not @t424)) % 201.93/202.53 (define @t426 () (lambda @t178 @t425)) % 201.93/202.53 (define @t427 () (_ @t414 @t15)) % 201.93/202.53 (define @t428 () (not @t427)) % 201.93/202.53 (define @t429 () (or @t428 @t401)) % 201.93/202.53 (define @t430 () (not @t429)) % 201.93/202.53 (define @t431 () (lambda @t212 @t430)) % 201.93/202.53 (define @t432 () (lambda @t18 (_ (_ (_ @t36 (_ (_ @t409 @t418) @t312)) (_ (_ @t409 (_ @t201 (_ @t33 @t418))) @t265)) @t15))) % 201.93/202.53 (define @t433 () (not @t10)) % 201.93/202.53 (define @t434 () (or @t433 @t58)) % 201.93/202.53 (define @t435 () (not @t35)) % 201.93/202.53 (define @t436 () (or @t31 @t435)) % 201.93/202.53 (define @t437 () (lambda @t44 @t436)) % 201.93/202.53 (define @t438 () (_ @t437 @t9)) % 201.93/202.53 (define @t439 () (not @t438)) % 201.93/202.53 (define @t440 () (lambda @t44 @t439)) % 201.93/202.53 (define @t441 () (lambda @t44 @t435)) % 201.93/202.53 (define @t442 () (_ @t441 @t9)) % 201.93/202.53 (define @t443 () (or @t31 @t442)) % 201.93/202.53 (define @t444 () (lambda @t44 @t443)) % 201.93/202.53 (define @t445 () (or @t31 @t35)) % 201.93/202.53 (define @t446 () (lambda @t217 @t445)) % 201.93/202.53 (define @t447 () (lambda @t44 @t31)) % 201.93/202.53 (define @t448 () (_ @t447 @t9)) % 201.93/202.53 (define @t449 () (or @t448 @t35)) % 201.93/202.53 (define @t450 () (lambda @t217 @t449)) % 201.93/202.53 (define @t451 () (lambda @t44 @t445)) % 201.93/202.53 (define @t452 () (forall @t138 (or (not (tptp.rel_s4 @t144 @t125)) @t137 @t136 @t131))) % 201.93/202.53 (define @t453 () (@quantifiers_skolemize @t143 7)) % 201.93/202.53 (define @t454 () (@quantifiers_skolemize @t143 6)) % 201.93/202.53 (define @t455 () (tptp.big_r @t454 @t453)) % 201.93/202.53 (define @t456 () (@quantifiers_skolemize @t143 5)) % 201.93/202.53 (define @t457 () (tptp.rel_s4 @t456 @t453)) % 201.93/202.53 (define @t458 () (not @t457)) % 201.93/202.53 (define @t459 () (tptp.exists_in_world @t454 @t456)) % 201.93/202.53 (define @t460 () (not @t459)) % 201.93/202.53 (define @t461 () (tptp.rel_s4 @t144 @t456)) % 201.93/202.53 (define @t462 () (not @t461)) % 201.93/202.53 (define @t463 () (@quantifiers_skolemize @t143 4)) % 201.93/202.53 (define @t464 () (@quantifiers_skolemize @t143 3)) % 201.93/202.53 (define @t465 () (tptp.big_q @t464 @t463)) % 201.93/202.53 (define @t466 () (@quantifiers_skolemize @t143 2)) % 201.93/202.53 (define @t467 () (tptp.rel_s4 @t466 @t463)) % 201.93/202.53 (define @t468 () (not @t467)) % 201.93/202.53 (define @t469 () (tptp.exists_in_world @t464 @t466)) % 201.93/202.53 (define @t470 () (not @t469)) % 201.93/202.53 (define @t471 () (tptp.rel_s4 @t144 @t466)) % 201.93/202.53 (define @t472 () (not @t471)) % 201.93/202.53 (define @t473 () (not @t452)) % 201.93/202.53 (define @t474 () (@quantifiers_skolemize @t143 0)) % 201.93/202.53 (define @t475 () (tptp.rel_s4 @t474 @t144)) % 201.93/202.53 (define @t476 () (not @t475)) % 201.93/202.53 (define @t477 () (or @t476 @t473 @t472 @t470 @t468 @t465 @t462 @t460 @t458 @t455)) % 201.93/202.53 (define @t478 () (@list true)) % 201.93/202.53 (define @t479 () (@list @t477)) % 201.93/202.53 (define @t480 () (forall @t129 (or (not (tptp.rel_s4 @t466 @t126)) @t127))) % 201.93/202.53 (define @t481 () (@quantifiers_skolemize @t480 0)) % 201.93/202.53 (define @t482 () (forall @t5 (not (tptp.exists_in_world @t2 @t474)))) % 201.93/202.53 (define @t483 () (@quantifiers_skolemize @t482 0)) % 201.93/202.53 (define @t484 () (_ @t38 @t64 @t77)) % 201.93/202.53 (define @t485 () (_ @t38 @t71 @t77)) % 201.93/202.53 (define @t486 () (_ @t38 @t64 @t71)) % 201.93/202.53 (define @t487 () (not @t79)) % 201.93/202.53 (define @t488 () (not @t73)) % 201.93/202.53 (define @t489 () (or @t488 @t487 @t78)) % 201.93/202.53 (define @t490 () (or @t468 @t465)) % 201.93/202.53 (define @t491 () (not @t490)) % 201.93/202.53 (define @t492 () (@list false true)) % 201.93/202.53 (define @t493 () (tptp.rel_s4 @t466 @t466)) % 201.93/202.53 (define @t494 () (not @t493)) % 201.93/202.53 (define @t495 () (and (or @t494 (tptp.p @t466)) @t490)) % 201.93/202.53 (define @t496 () (not @t495)) % 201.93/202.53 (define @t497 () (not @t480)) % 201.93/202.53 (define @t498 () (or @t494 @t497)) % 201.93/202.53 (define @t499 () (and @t498 (or @t468 (tptp.big_r @t464 @t463)))) % 201.93/202.53 (define @t500 () (or @t472 @t470 @t495 @t499)) % 201.93/202.53 (define @t501 () (@list false false true false)) % 201.93/202.53 (define @t502 () (@list false)) % 201.93/202.53 (define @t503 () (@list false false)) % 201.93/202.53 (define @t504 () (tptp.rel_s4 @t466 @t481)) % 201.93/202.53 (define @t505 () (tptp.p @t481)) % 201.93/202.53 (define @t506 () (not @t504)) % 201.93/202.53 (define @t507 () (or @t506 @t505)) % 201.93/202.53 (define @t508 () (@list @t507)) % 201.93/202.53 (define @t509 () (tptp.rel_s4 @t144 @t481)) % 201.93/202.53 (define @t510 () (or @t472 @t506 @t509)) % 201.93/202.53 (define @t511 () (@list false false false)) % 201.93/202.53 (define @t512 () (not @t509)) % 201.93/202.53 (define @t513 () (or @t512 @t505)) % 201.93/202.53 (define @t514 () (not @t513)) % 201.93/202.53 (define @t515 () (tptp.rel_s4 @t144 @t144)) % 201.93/202.53 (define @t516 () (not @t515)) % 201.93/202.53 (define @t517 () (and @t513 (or @t516 (tptp.big_q @t483 @t144)))) % 201.93/202.53 (define @t518 () (not @t517)) % 201.93/202.53 (define @t519 () (tptp.rel_s4 @t1 @t9)) % 201.93/202.53 (define @t520 () (not @t11)) % 201.93/202.53 (define @t521 () (not @t4)) % 201.93/202.53 (define @t522 () (or @t521 @t520 @t10)) % 201.93/202.53 (define @t523 () (forall @t5 @t521)) % 201.93/202.53 (define @t524 () (not @t523)) % 201.93/202.53 (define @t525 () (tptp.exists_in_world @t483 @t474)) % 201.93/202.53 (define @t526 () (not @t482)) % 201.93/202.53 (define @t527 () (not @t525)) % 201.93/202.53 (define @t528 () (not @t527)) % 201.93/202.53 (define @t529 () (tptp.exists_in_world @t483 @t144)) % 201.93/202.53 (define @t530 () (or @t527 @t476 @t529)) % 201.93/202.53 (define @t531 () (forall @t129 (or (not (tptp.rel_s4 @t456 @t126)) @t127))) % 201.93/202.53 (define @t532 () (@quantifiers_skolemize @t531 0)) % 201.93/202.53 (define @t533 () (or @t458 @t455)) % 201.93/202.53 (define @t534 () (not @t533)) % 201.93/202.53 (define @t535 () (not (tptp.rel_s4 @t456 @t474))) % 201.93/202.53 (define @t536 () (and (or @t535 (not (forall @t129 (or (not (tptp.rel_s4 @t474 @t126)) @t127)))) @t533)) % 201.93/202.53 (define @t537 () (not @t536)) % 201.93/202.53 (define @t538 () (or (not (tptp.rel_s4 @t456 @t532)) (tptp.p @t532))) % 201.93/202.53 (define @t539 () (and @t538 (or @t535 (tptp.big_q @t454 @t474)))) % 201.93/202.53 (define @t540 () (or @t462 @t460 @t539 @t536)) % 201.93/202.53 (define @t541 () (not @t538)) % 201.93/202.53 (define @t542 () (not @t531)) % 201.93/202.53 (define @t543 () (or @t462 @t542)) % 201.93/202.53 (define @t544 () (not @t543)) % 201.93/202.53 (define @t545 () (and @t543 (or @t516 (tptp.big_r @t483 @t144)))) % 201.93/202.53 (define @t546 () (not @t545)) % 201.93/202.53 (define @t547 () (not @t529)) % 201.93/202.53 (define @t548 () (or @t516 @t547 @t517 @t545)) % 201.93/202.53 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 201.93/202.53 (assume @p2 @t8) % 201.93/202.53 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 201.93/202.53 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 201.93/202.53 (assume @p5 @t14) % 201.93/202.53 (assume @p6 @t25) % 201.93/202.53 (assume @p7 true) % 201.93/202.53 (step @p8 (= tptp.meq_prop @t28) :rule refl :args (@t28)) % 201.93/202.53 (step @p9 (= tptp.mnot @t33) :rule refl :args (@t33)) % 201.93/202.53 (step @p10 (= tptp.mor @t36) :rule refl :args (@t36)) % 201.93/202.53 (step @p11 (= tptp.mbox @t39) :rule refl :args (@t39)) % 201.93/202.53 (step @p12 (= tptp.mforall_prop @t43) :rule refl :args (@t43)) % 201.93/202.53 (step @p13 (= tptp.mtrue @t45) :rule refl :args (@t45)) % 201.93/202.53 (step @p14 (= tptp.mand @t50) :rule refl :args (@t50)) % 201.93/202.53 (step @p15 (= tptp.mimplies @t51) :rule refl :args (@t51)) % 201.93/202.53 (step @p16 (= tptp.mimplied @t52) :rule refl :args (@t52)) % 201.93/202.53 (step @p17 (= tptp.mequiv @t53) :rule refl :args (@t53)) % 201.93/202.53 (step @p18 (= tptp.mxor @t54) :rule refl :args (@t54)) % 201.93/202.53 (step @p19 (= tptp.mdia @t55) :rule refl :args (@t55)) % 201.93/202.53 (step @p20 (= tptp.mforall_ind @t61) :rule refl :args (@t61)) % 201.93/202.53 (step @p21 (= tptp.mexists_ind @t62) :rule refl :args (@t62)) % 201.93/202.53 (step @p22 (= tptp.mexists_prop @t63) :rule refl :args (@t63)) % 201.93/202.53 (step @p23 (= tptp.mreflexive @t70) :rule refl :args (@t70)) % 201.93/202.53 (step @p24 (= tptp.msymmetric @t74) :rule refl :args (@t74)) % 201.93/202.53 (step @p25 (= tptp.mserial @t76) :rule refl :args (@t76)) % 201.93/202.53 (step @p26 (= tptp.mtransitive @t83) :rule refl :args (@t83)) % 201.93/202.53 (step @p27 (= tptp.meuclidean @t85) :rule refl :args (@t85)) % 201.93/202.53 (step @p28 (= tptp.mpartially_functional @t87) :rule refl :args (@t87)) % 201.93/202.53 (step @p29 (= tptp.mfunctional @t89) :rule refl :args (@t89)) % 201.93/202.53 (step @p30 (= tptp.mweakly_dense @t92) :rule refl :args (@t92)) % 201.93/202.53 (step @p31 (= tptp.mweakly_connected @t93) :rule refl :args (@t93)) % 201.93/202.53 (step @p32 (= tptp.mweakly_directed @t94) :rule refl :args (@t94)) % 201.93/202.53 (step @p33 (= tptp.mvalid @t97) :rule refl :args (@t97)) % 201.93/202.53 (step @p34 (= tptp.msatisfiable @t98) :rule refl :args (@t98)) % 201.93/202.53 (step @p35 (= tptp.mcountersatisfiable @t99) :rule refl :args (@t99)) % 201.93/202.53 (step @p36 (= tptp.minvalid @t100) :rule refl :args (@t100)) % 201.93/202.53 (step @p37 (= tptp.mbox_s4 @t105) :rule refl :args (@t105)) % 201.93/202.53 (step @p38 (= tptp.mdia_s4 @t106) :rule refl :args (@t106)) % 201.93/202.53 (step @p39 :rule beta-reduce :args ((= (_ (lambda @t69 (forall @t67 @t107)) tptp.rel_s4) (forall @t67 (tptp.rel_s4 @t64 @t64))))) % 201.93/202.53 (step @p40 :rule refl :args (tptp.rel_s4)) % 201.93/202.53 (step @p41 :rule refl :args (@t107)) % 201.93/202.53 (step @p42 :rule refl :args (@t66)) % 201.93/202.53 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t66 @t107))) % 201.93/202.53 (step @p44 :rule symm :premises (@p43)) % 201.93/202.53 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 201.93/202.53 (step @p46 :rule cong :premises (@p45) :args (@t68)) % 201.93/202.53 (step @p47 :rule cong :premises (@p46) :args (@t70)) % 201.93/202.53 (step @p48 :rule trans :premises (@p23 @p47)) % 201.93/202.53 (step @p49 :rule ho_cong :premises (@p48 @p40)) % 201.93/202.53 (step @p50 :rule trans :premises (@p49 @p39)) % 201.93/202.53 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 201.93/202.53 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t144))) % 201.93/202.53 (step @p53 :rule quant-merge-prenex :args ((= (forall @t44 @t146) @t143))) % 201.93/202.53 (step @p54 :rule beta-reduce :args ((= @t148 @t146))) % 201.93/202.53 (step @p55 :rule cong :premises (@p54) :args (@t149)) % 201.93/202.53 (step @p56 :rule trans :premises (@p55 @p53)) % 201.93/202.53 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:rule nary_cong :premises (@p84 @p219) :args (@t309)) % 201.93/202.53 (step @p221 :rule cong :premises (@p220) :args (@t310)) % 201.93/202.53 (step @p222 :rule trans :premises (@p221 @p218)) % 201.93/202.53 (step @p223 :rule cong :premises (@p222) :args (@t311)) % 201.93/202.53 (step @p224 :rule beta-reduce :args ((= @t312 @t311))) % 201.93/202.53 (step @p225 :rule trans :premises (@p224 @p223)) % 201.93/202.53 (step @p226 :rule ho_cong :premises (@p225 @p145)) % 201.93/202.53 (step @p227 :rule trans :premises (@p226 @p211)) % 201.93/202.53 (step @p228 :rule cong :premises (@p227) :args (@t313)) % 201.93/202.53 (step @p229 :rule ho_cong :premises (@p163 @p228)) % 201.93/202.53 (step @p230 :rule trans :premises (@p229 @p210)) % 201.93/202.53 (step @p231 :rule ho_cong :premises (@p166 @p230)) % 201.93/202.53 (step @p232 :rule trans :premises (@p231 @p192)) % 201.93/202.53 (step @p233 :rule refl :args (@t36)) % 201.93/202.53 (step @p234 :rule ho_cong :premises (@p233 @p232)) % 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@p528 :rule eq_resolve :premises (@p6 @p527)) % 201.93/202.53 (step @p529 :rule skolemize :premises (@p528)) % 201.93/202.53 (step @p530 :rule bool-double-not-elim :args (@t452)) % 201.93/202.53 (step @p531 :rule refl :args (@t477)) % 201.93/202.53 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or @t477 (not @t473)))) % 201.93/202.53 (step @p533 :rule cnf_or_neg :args (@t477 1)) % 201.93/202.53 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 201.93/202.53 (step @p535 :rule reordering :premises (@p534) :args ((or @t452 @t477))) % 201.93/202.53 (step @p536 :rule chain_m_resolution :premises (@p535 @p529) :args (@t452 @t478 @t479)) % 201.93/202.53 (step @p537 :rule instantiate :premises (@p536) :args ((@list @t144 @t483 @t481 @t144 @t456 @t144))) % 201.93/202.53 (step @p538 :rule beta-reduce :args ((= (_ (lambda @t69 (forall @t81 (or (not @t486) (not @t485) @t484))) tptp.rel_s4) (forall @t81 (or (not (tptp.rel_s4 @t64 @t71)) (not (tptp.rel_s4 @t71 @t77)) (tptp.rel_s4 @t64 @t77)))))) % 201.93/202.53 (step @p539 :rule refl :args (@t484)) % 201.93/202.53 (step @p540 :rule refl :args (@t78)) % 201.93/202.53 (step @p541 :rule cong :premises (@p540 @p539) :args ((= @t78 @t484))) % 201.93/202.53 (step @p542 :rule symm :premises (@p541)) % 201.93/202.53 (step @p543 :rule eq_resolve :premises (@p540 @p542)) % 201.93/202.53 (step @p544 :rule refl :args (@t485)) % 201.93/202.53 (step @p545 :rule refl :args (@t79)) % 201.93/202.53 (step @p546 :rule cong :premises (@p545 @p544) :args ((= @t79 @t485))) % 201.93/202.53 (step @p547 :rule symm :premises (@p546)) % 201.93/202.53 (step @p548 :rule eq_resolve :premises (@p545 @p547)) % 201.93/202.53 (step @p549 :rule cong :premises (@p548) :args (@t487)) % 201.93/202.53 (step @p550 :rule refl :args (@t486)) % 201.93/202.53 (step @p551 :rule refl :args (@t73)) % 201.93/202.53 (step @p552 :rule cong :premises (@p551 @p550) :args ((= @t73 @t486))) % 201.93/202.53 (step @p553 :rule symm :premises (@p552)) % 201.93/202.53 (step @p554 :rule eq_resolve :premises (@p551 @p553)) % 201.93/202.53 (step @p555 :rule cong :premises (@p554) :args (@t488)) % 201.93/202.53 (step @p556 :rule nary_cong :premises (@p555 @p549 @p543) :args (@t489)) % 201.93/202.53 (step @p557 :rule cong :premises (@p556) :args ((forall @t81 @t489))) % 201.93/202.53 (step @p558 :rule aci_norm :args ((= (or (or @t488 @t487) @t78) @t489))) % 201.93/202.53 (step @p559 :rule bool-and-de-morgan :args (@t73 @t79 true)) % 201.93/202.53 (step @p560 :rule nary_cong :premises (@p559 @p540) :args ((or (not @t80) @t78))) % 201.93/202.53 (step @p561 :rule trans :premises (@p560 @p558)) % 201.93/202.53 (step @p562 :rule bool-impl-elim :args (@t80 @t78)) % 201.93/202.53 (step @p563 :rule trans :premises (@p562 @p561)) % 201.93/202.53 (step @p564 :rule cong :premises (@p563) :args (@t82)) % 201.93/202.53 (step @p565 :rule trans :premises (@p564 @p557)) % 201.93/202.53 (step @p566 :rule cong :premises (@p565) :args (@t83)) % 201.93/202.53 (step @p567 :rule trans :premises (@p26 @p566)) % 201.93/202.53 (step @p568 :rule ho_cong :premises (@p567 @p40)) % 201.93/202.53 (step @p569 :rule trans :premises (@p568 @p538)) % 201.93/202.53 (step @p570 :rule eq_resolve :premises (@p4 @p569)) % 201.93/202.53 (step @p571 :rule instantiate :premises (@p570) :args ((@list @t144 @t466 @t481))) % 201.93/202.53 (step @p572 :rule instantiate :premises (@p536) :args ((@list @t466 @t464 @t466 @t463 @t466 @t463))) % 201.93/202.53 (step @p573 :rule cnf_or_neg :args (@t477 5)) % 201.93/202.53 (step @p574 :rule chain_m_resolution :premises (@p573 @p529) :args ((not @t465) @t478 @t479)) % 201.93/202.53 (step @p575 :rule bool-double-not-elim :args (@t467)) % 201.93/202.53 (step @p576 :rule nary_cong :premises (@p531 @p575) :args ((or @t477 (not @t468)))) % 201.93/202.53 (step @p577 :rule cnf_or_neg :args (@t477 4)) % 201.93/202.53 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 201.93/202.53 (step @p579 :rule reordering :premises (@p578) :args ((or @t467 @t477))) % 201.93/202.53 (step @p580 :rule chain_m_resolution :premises (@p579 @p529) :args (@t467 @t478 @t479)) % 201.93/202.53 (step @p581 :rule cnf_or_pos :args (@t490)) % 201.93/202.53 (step @p582 :rule reordering :premises (@p581) :args ((or @t468 @t465 @t491))) % 201.93/202.53 (step @p583 :rule chain_m_resolution :premises (@p582 @p580 @p574) :args (@t491 @t492 (@list @t467 @t465))) % 201.93/202.53 (step @p584 :rule cnf_and_pos :args (@t495 1)) % 201.93/202.53 (step @p585 :rule reordering :premises (@p584) :args ((or @t490 @t496))) % 201.93/202.53 (step @p586 :rule chain_m_resolution :premises (@p585 @p583) :args (@t496 @t478 (@list @t490))) % 201.93/202.53 (step @p587 :rule bool-double-not-elim :args (@t469)) % 201.93/202.53 (step @p588 :rule nary_cong :premises (@p531 @p587) :args ((or @t477 (not @t470)))) % 201.93/202.53 (step @p589 :rule cnf_or_neg :args (@t477 3)) % 201.93/202.53 (step @p590 :rule eq_resolve :premises (@p589 @p588)) % 201.93/202.53 (step @p591 :rule reordering :premises (@p590) :args ((or @t469 @t477))) % 201.93/202.53 (step @p592 :rule chain_m_resolution :premises (@p591 @p529) :args (@t469 @t478 @t479)) % 201.93/202.53 (step @p593 :rule bool-double-not-elim :args (@t471)) % 201.93/202.53 (step @p594 :rule nary_cong :premises (@p531 @p593) :args ((or @t477 (not @t472)))) % 201.93/202.53 (step @p595 :rule cnf_or_neg :args (@t477 2)) % 201.93/202.53 (step @p596 :rule eq_resolve :premises (@p595 @p594)) % 201.93/202.53 (step @p597 :rule reordering :premises (@p596) :args ((or @t471 @t477))) % 201.93/202.53 (step @p598 :rule chain_m_resolution :premises (@p597 @p529) :args (@t471 @t478 @t479)) % 201.93/202.53 (step @p599 :rule cnf_or_pos :args (@t500)) % 201.93/202.53 (step @p600 :rule reordering :premises (@p599) :args ((or @t472 @t470 @t495 @t499 (not @t500)))) % 201.93/202.53 (step @p601 :rule chain_m_resolution :premises (@p600 @p598 @p592 @p586 @p572) :args (@t499 @t501 (@list @t471 @t469 @t495 @t500))) % 201.93/202.53 (step @p602 :rule cnf_and_pos :args (@t499 0)) % 201.93/202.53 (step @p603 :rule reordering :premises (@p602) :args ((or @t498 (not @t499)))) % 201.93/202.53 (step @p604 :rule chain_m_resolution :premises (@p603 @p601) :args (@t498 @t502 (@list @t499))) % 201.93/202.53 (step @p605 :rule instantiate :premises (@p51) :args ((@list @t466))) % 201.93/202.53 (step @p606 :rule cnf_or_pos :args (@t498)) % 201.93/202.53 (step @p607 :rule reordering :premises (@p606) :args ((or @t494 @t497 (not @t498)))) % 201.93/202.53 (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p604) :args (@t497 @t503 (@list @t493 @t498))) % 201.93/202.53 (step @p609 :rule skolemize :premises (@p608)) % 201.93/202.53 (step @p610 :rule bool-double-not-elim :args (@t504)) % 201.93/202.53 (step @p611 :rule refl :args (@t507)) % 201.93/202.53 (step @p612 :rule nary_cong :premises (@p611 @p610) :args ((or @t507 (not @t506)))) % 201.93/202.53 (step @p613 :rule cnf_or_neg :args (@t507 0)) % 201.93/202.53 (step @p614 :rule eq_resolve :premises (@p613 @p612)) % 201.93/202.53 (step @p615 :rule reordering :premises (@p614) :args ((or @t504 @t507))) % 201.93/202.53 (step @p616 :rule chain_m_resolution :premises (@p615 @p609) :args (@t504 @t478 @t508)) % 201.93/202.53 (step @p617 :rule cnf_or_pos :args (@t510)) % 201.93/202.53 (step @p618 :rule reordering :premises (@p617) :args ((or @t472 @t506 @t509 (not @t510)))) % 201.93/202.53 (step @p619 :rule chain_m_resolution :premises (@p618 @p598 @p616 @p571) :args (@t509 @t511 (@list @t471 @t504 @t510))) % 201.93/202.53 (step @p620 :rule cnf_or_neg :args (@t507 1)) % 201.93/202.53 (step @p621 :rule chain_m_resolution :premises (@p620 @p609) :args ((not @t505) @t478 @t508)) % 201.93/202.53 (step @p622 :rule cnf_or_pos :args (@t513)) % 201.93/202.53 (step @p623 :rule reordering :premises (@p622) :args ((or @t505 @t512 @t514))) % 201.93/202.53 (step @p624 :rule chain_m_resolution :premises (@p623 @p621 @p619) :args (@t514 (@list true false) (@list @t505 @t509))) % 201.93/202.53 (step @p625 :rule cnf_and_pos :args (@t517 0)) % 201.93/202.53 (step @p626 :rule reordering :premises (@p625) :args ((or @t513 @t518))) % 201.93/202.53 (step @p627 :rule chain_m_resolution :premises (@p626 @p624) :args (@t518 @t478 (@list @t513))) % 201.93/202.53 (step @p628 :rule refl :args (@t519)) % 201.93/202.53 (step @p629 :rule refl :args (@t11)) % 201.93/202.53 (step @p630 :rule cong :premises (@p629 @p628) :args ((= @t11 @t519))) % 201.93/202.53 (step @p631 :rule symm :premises (@p630)) % 201.93/202.53 (step @p632 :rule eq_resolve :premises (@p629 @p631)) % 201.93/202.53 (step @p633 :rule cong :premises (@p632) :args (@t520)) % 201.93/202.53 (step @p634 :rule refl :args (@t227)) % 201.93/202.53 (step @p635 :rule refl :args (@t4)) % 201.93/202.53 (step @p636 :rule cong :premises (@p635 @p634) :args ((= @t4 @t227))) % 201.93/202.53 (step @p637 :rule symm :premises (@p636)) % 201.93/202.53 (step @p638 :rule eq_resolve :premises (@p635 @p637)) % 201.93/202.53 (step @p639 :rule cong :premises (@p638) :args (@t521)) % 201.93/202.53 (step @p640 :rule nary_cong :premises (@p639 @p633 @p432) :args (@t522)) % 201.93/202.53 (step @p641 :rule cong :premises (@p640) :args ((forall @t13 @t522))) % 201.93/202.53 (step @p642 :rule aci_norm :args ((= (or (or @t521 @t520) @t10) @t522))) % 201.93/202.53 (step @p643 :rule bool-and-de-morgan :args (@t4 @t11 true)) % 201.93/202.53 (step @p644 :rule nary_cong :premises (@p643 @p429) :args ((or (not @t12) @t10))) % 201.93/202.53 (step @p645 :rule trans :premises (@p644 @p642)) % 201.93/202.53 (step @p646 :rule bool-impl-elim :args (@t12 @t10)) % 201.93/202.53 (step @p647 :rule trans :premises (@p646 @p645)) % 201.93/202.53 (step @p648 :rule cong :premises (@p647) :args (@t14)) % 201.93/202.53 (step @p649 :rule trans :premises (@p648 @p641)) % 201.93/202.53 (step @p650 :rule eq_resolve :premises (@p5 @p649)) % 201.93/202.53 (step @p651 :rule instantiate :premises (@p650) :args ((@list @t483 @t474 @t144))) % 201.93/202.53 (step @p652 :rule cong :premises (@p639) :args (@t523)) % 201.93/202.53 (step @p653 :rule cong :premises (@p652) :args (@t524)) % 201.93/202.53 (step @p654 :rule exists-elim :args ((= @t6 @t524))) % 201.93/202.53 (step @p655 :rule trans :premises (@p654 @p653)) % 201.93/202.53 (step @p656 :rule cong :premises (@p655) :args (@t8)) % 201.93/202.53 (step @p657 :rule eq_resolve :premises (@p2 @p656)) % 201.93/202.53 (step @p658 :rule instantiate :premises (@p657) :args ((@list @t474))) % 201.93/202.53 (step @p659 :rule refl :args (@t525)) % 201.93/202.53 (step @p660 :rule bool-double-not-elim :args (@t482)) % 201.93/202.53 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or (not @t526) @t525))) % 201.93/202.53 (step @p662 :rule bool-double-not-elim :args (@t525)) % 201.93/202.53 (step @p663 :rule refl :args (@t526)) % 201.93/202.53 (step @p664 :rule cong :premises (@p663 @p662) :args ((=> @t526 @t528))) % 201.93/202.53 (assume-push @p734 @t526) % 201.93/202.53 (step @p666 :rule skolemize :premises (@p658)) % 201.93/202.53 (step-pop @p735 :rule scope :premises (@p666)) % 201.93/202.53 (step @p667 :rule process_scope :premises (@p735) :args (@t528)) % 201.93/202.53 (step @p669 :rule eq_resolve :premises (@p667 @p664)) % 201.93/202.53 (step @p670 :rule implies_elim :premises (@p669)) % 201.93/202.53 (step @p671 :rule eq_resolve :premises (@p670 @p661)) % 201.93/202.53 (step @p672 :rule chain_m_resolution :premises (@p671 @p658) :args (@t525 @t478 (@list @t482))) % 201.93/202.53 (step @p673 :rule bool-double-not-elim :args (@t475)) % 201.93/202.53 (step @p674 :rule nary_cong :premises (@p531 @p673) :args ((or @t477 (not @t476)))) % 201.93/202.53 (step @p675 :rule cnf_or_neg :args (@t477 0)) % 201.93/202.53 (step @p676 :rule eq_resolve :premises (@p675 @p674)) % 201.93/202.53 (step @p677 :rule reordering :premises (@p676) :args ((or @t475 @t477))) % 201.93/202.53 (step @p678 :rule chain_m_resolution :premises (@p677 @p529) :args (@t475 @t478 @t479)) % 201.93/202.53 (step @p679 :rule cnf_or_pos :args (@t530)) % 201.93/202.53 (step @p680 :rule reordering :premises (@p679) :args ((or @t476 @t527 @t529 (not @t530)))) % 201.93/202.53 (step @p681 :rule chain_m_resolution :premises (@p680 @p678 @p672 @p651) :args (@t529 @t511 (@list @t475 @t525 @t530))) % 201.93/202.53 (step @p682 :rule instantiate :premises (@p536) :args ((@list @t456 @t454 @t532 @t474 @t474 @t453))) % 201.93/202.53 (step @p683 :rule cnf_or_neg :args (@t477 9)) % 201.93/202.53 (step @p684 :rule chain_m_resolution :premises (@p683 @p529) :args ((not @t455) @t478 @t479)) % 201.93/202.53 (step @p685 :rule bool-double-not-elim :args (@t457)) % 201.93/202.53 (step @p686 :rule nary_cong :premises (@p531 @p685) :args ((or @t477 (not @t458)))) % 201.93/202.53 (step @p687 :rule cnf_or_neg :args (@t477 8)) % 201.93/202.53 (step @p688 :rule eq_resolve :premises (@p687 @p686)) % 201.93/202.53 (step @p689 :rule reordering :premises (@p688) :args ((or @t457 @t477))) % 201.93/202.53 (step @p690 :rule chain_m_resolution :premises (@p689 @p529) :args (@t457 @t478 @t479)) % 201.93/202.53 (step @p691 :rule cnf_or_pos :args (@t533)) % 201.93/202.53 (step @p692 :rule reordering :premises (@p691) :args ((or @t458 @t455 @t534))) % 201.93/202.53 (step @p693 :rule chain_m_resolution :premises (@p692 @p690 @p684) :args (@t534 @t492 (@list @t457 @t455))) % 201.93/202.53 (step @p694 :rule cnf_and_pos :args (@t536 1)) % 201.93/202.53 (step @p695 :rule reordering :premises (@p694) :args ((or @t533 @t537))) % 201.93/202.53 (step @p696 :rule chain_m_resolution :premises (@p695 @p693) :args (@t537 @t478 (@list @t533))) % 201.93/202.53 (step @p697 :rule bool-double-not-elim :args (@t459)) % 201.93/202.53 (step @p698 :rule nary_cong :premises (@p531 @p697) :args ((or @t477 (not @t460)))) % 201.93/202.53 (step @p699 :rule cnf_or_neg :args (@t477 7)) % 201.93/202.53 (step @p700 :rule eq_resolve :premises (@p699 @p698)) % 201.93/202.53 (step @p701 :rule reordering :premises (@p700) :args ((or @t459 @t477))) % 201.93/202.53 (step @p702 :rule chain_m_resolution :premises (@p701 @p529) :args (@t459 @t478 @t479)) % 201.93/202.53 (step @p703 :rule bool-double-not-elim :args (@t461)) % 201.93/202.53 (step @p704 :rule nary_cong :premises (@p531 @p703) :args ((or @t477 (not @t462)))) % 201.93/202.53 (step @p705 :rule cnf_or_neg :args (@t477 6)) % 201.93/202.53 (step @p706 :rule eq_resolve :premises (@p705 @p704)) % 201.93/202.53 (step @p707 :rule reordering :premises (@p706) :args ((or @t461 @t477))) % 201.93/202.53 (step @p708 :rule chain_m_resolution :premises (@p707 @p529) :args (@t461 @t478 @t479)) % 201.93/202.53 (step @p709 :rule cnf_or_pos :args (@t540)) % 201.93/202.53 (step @p710 :rule reordering :premises (@p709) :args ((or @t462 @t460 @t539 @t536 (not @t540)))) % 201.93/202.53 (step @p711 :rule chain_m_resolution :premises (@p710 @p708 @p702 @p696 @p682) :args (@t539 @t501 (@list @t461 @t459 @t536 @t540))) % 201.93/202.53 (step @p712 :rule cnf_and_pos :args (@t539 0)) % 201.93/202.53 (step @p713 :rule reordering :premises (@p712) :args ((or @t538 (not @t539)))) % 201.93/202.53 (step @p714 :rule chain_m_resolution :premises (@p713 @p711) :args (@t538 @t502 (@list @t539))) % 201.93/202.53 (step @p715 :rule refl :args (@t541)) % 201.93/202.53 (step @p716 :rule bool-double-not-elim :args (@t531)) % 201.93/202.53 (step @p717 :rule nary_cong :premises (@p716 @p715) :args ((or (not @t542) @t541))) % 201.93/202.53 (assume-push @p736 @t542) % 201.93/202.53 (step @p719 :rule skolemize :premises (@p736)) % 201.93/202.53 (step-pop @p737 :rule scope :premises (@p719)) % 201.93/202.53 (step @p720 :rule process_scope :premises (@p737) :args (@t541)) % 201.93/202.53 (step @p722 :rule implies_elim :premises (@p720)) % 201.93/202.53 (step @p723 :rule eq_resolve :premises (@p722 @p717)) % 201.93/202.53 (step @p724 :rule chain_m_resolution :premises (@p723 @p714) :args (@t531 @t502 (@list @t538))) % 201.93/202.53 (step @p725 :rule cnf_or_pos :args (@t543)) % 201.93/202.53 (step @p726 :rule reordering :premises (@p725) :args ((or @t462 @t542 @t544))) % 201.93/202.53 (step @p727 :rule chain_m_resolution :premises (@p726 @p708 @p724) :args (@t544 @t503 (@list @t461 @t531))) % 201.93/202.53 (step @p728 :rule cnf_and_pos :args (@t545 0)) % 201.93/202.53 (step @p729 :rule reordering :premises (@p728) :args ((or @t543 @t546))) % 201.93/202.53 (step @p730 :rule chain_m_resolution :premises (@p729 @p727) :args (@t546 @t478 (@list @t543))) % 201.93/202.53 (step @p731 :rule cnf_or_pos :args (@t548)) % 201.93/202.53 (step @p732 :rule reordering :premises (@p731) :args ((or @t516 @t547 @t545 @t517 (not @t548)))) % 201.93/202.53 (step @p733 false :rule chain_m_resolution :premises (@p732 @p730 @p681 @p627 @p537 @p52) :args (false (@list true false true false false) (@list @t545 @t529 @t517 @t548 @t515))) % 201.93/202.53 ) % 201.93/202.53 % SZS output end Proof % 201.93/202.53 % cvc5 exiting %------------------------------------------------------------------------------