TSTP Solution File: SEV012^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n013.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 May 29 17:57:42 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 27 13:17:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TH0
% 0.21/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.vQXBvDeAu4/cvc5---1.0.5_32216.smt2
% 0.21/0.53 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.vQXBvDeAu4/cvc5---1.0.5_32216.smt2
% 0.21/0.53 (assume a0 (not (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)))))
% 0.21/0.53 (assume a1 true)
% 0.21/0.53 (step t1 (cl (not (= (not (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)))) false)) (not (not (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true))))) false) :rule equiv_pos2)
% 0.21/0.53 (anchor :step t2 :args ((Xx Bool) (:= Xx Xx) (Xy Bool) (:= Xy Xy)))
% 0.21/0.53 (step t2.t1 (cl (= Xx Xx)) :rule refl)
% 0.21/0.53 (step t2.t2 (cl (= Xy Xy)) :rule refl)
% 0.21/0.53 (step t2.t3 (cl (= (=> true true) true)) :rule all_simplify)
% 0.21/0.53 (step t2 (cl (= (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool)) true))) :rule bind)
% 0.21/0.53 (step t3 (cl (= (forall ((Xx Bool) (Xy Bool)) true) true)) :rule all_simplify)
% 0.21/0.53 (step t4 (cl (= (forall ((Xx Bool) (Xy Bool)) (=> true true)) true)) :rule trans :premises (t2 t3))
% 0.21/0.53 (anchor :step t5 :args ((Xx Bool) (:= Xx Xx) (Xy Bool) (:= Xy Xy) (Xz Bool) (:= Xz Xz)))
% 0.21/0.53 (step t5.t1 (cl (= Xx Xx)) :rule refl)
% 0.21/0.53 (step t5.t2 (cl (= Xy Xy)) :rule refl)
% 0.21/0.53 (step t5.t3 (cl (= Xz Xz)) :rule refl)
% 0.21/0.53 (step t5.t4 (cl (= (=> (and true true) true) true)) :rule all_simplify)
% 0.21/0.53 (step t5 (cl (= (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) true))) :rule bind)
% 0.21/0.53 (step t6 (cl (= (forall ((Xx Bool) (Xy Bool) (Xz Bool)) true) true)) :rule all_simplify)
% 0.21/0.53 (step t7 (cl (= (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) true)) :rule trans :premises (t5 t6))
% 0.21/0.53 (step t8 (cl (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true))) :rule all_simplify)
% 0.21/0.53 (step t9 (cl (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true))) :rule all_simplify)
% 0.21/0.53 (step t10 (cl (= (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)) (= (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true) (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true)))) :rule cong :premises (t8 t9))
% 0.21/0.53 (step t11 (cl (= (= (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true) (lambda ((BOUND_VARIABLE_720 Bool) (BOUND_VARIABLE_722 Bool)) true)) true)) :rule all_simplify)
% 0.21/0.53 (step t12 (cl (= (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)) true)) :rule trans :premises (t10 t11))
% 0.21/0.53 (step t13 (cl (= (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true))) (and true true true))) :rule cong :premises (t4 t7 t12))
% 0.21/0.53 (step t14 (cl (= (and true true true) true)) :rule all_simplify)
% 0.21/0.53 (step t15 (cl (= (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true))) true)) :rule trans :premises (t13 t14))
% 0.21/0.53 (step t16 (cl (= (not (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)))) (not true))) :rule cong :premises (t15))
% 0.21/0.53 (step t17 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.53 (step t18 (cl (= (not (and (forall ((Xx Bool) (Xy Bool)) (=> true true)) (forall ((Xx Bool) (Xy Bool) (Xz Bool)) (=> (and true true) true)) (= (lambda ((Xx Bool) (Xy Bool)) true) (lambda ((Xx Bool) (Xy Bool)) true)))) false)) :rule trans :premises (t16 t17))
% 0.21/0.53 (step t19 (cl false) :rule resolution :premises (t1 t18 a0))
% 0.21/0.53 (step t20 (cl (not false)) :rule false)
% 0.21/0.53 (step t21 (cl) :rule resolution :premises (t19 t20))
% 0.21/0.53
% 0.21/0.53 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.vQXBvDeAu4/cvc5---1.0.5_32216.smt2
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------