TSTP Solution File: SET604^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET604^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n021.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 17:45:09 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET604^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue May 28 09:37:24 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.zbzTvmO98T/cvc5---1.0.5_9691.smt2
% 0.21/0.52 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.zbzTvmO98T/cvc5---1.0.5_9691.smt2
% 0.21/0.52 (assume a0 (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)))))
% 0.21/0.52 (assume a1 true)
% 0.21/0.52 (step t1 (cl (not (= (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)))) false)) (not (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false))))) false) :rule equiv_pos2)
% 0.21/0.52 (anchor :step t2 :args ((X (-> tptp.a Bool)) (:= X X)))
% 0.21/0.52 (step t2.t1 (cl (= X X)) :rule refl)
% 0.21/0.52 (anchor :step t2.t2 :args ((Xx tptp.a) (:= Xx Xx)))
% 0.21/0.52 (step t2.t2.t1 (cl (= Xx Xx)) :rule refl)
% 0.21/0.52 (step t2.t2.t2 (cl (= (and false (not (@ X Xx))) false)) :rule all_simplify)
% 0.21/0.52 (step t2.t2 (cl (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false))) :rule bind)
% 0.21/0.52 (step t2.t3 (cl (= (lambda ((Xx tptp.a)) false) (lambda ((BOUND_VARIABLE_678 tptp.a)) false))) :rule all_simplify)
% 0.21/0.52 (step t2.t4 (cl (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((BOUND_VARIABLE_678 tptp.a)) false))) :rule trans :premises (t2.t2 t2.t3))
% 0.21/0.52 (step t2.t5 (cl (= (lambda ((Xx tptp.a)) false) (lambda ((BOUND_VARIABLE_678 tptp.a)) false))) :rule all_simplify)
% 0.21/0.52 (step t2.t6 (cl (= (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)) (= (lambda ((BOUND_VARIABLE_678 tptp.a)) false) (lambda ((BOUND_VARIABLE_678 tptp.a)) false)))) :rule cong :premises (t2.t4 t2.t5))
% 0.21/0.52 (step t2.t7 (cl (= (= (lambda ((BOUND_VARIABLE_678 tptp.a)) false) (lambda ((BOUND_VARIABLE_678 tptp.a)) false)) true)) :rule all_simplify)
% 0.21/0.52 (step t2.t8 (cl (= (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)) true)) :rule trans :premises (t2.t6 t2.t7))
% 0.21/0.52 (step t2 (cl (= (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false))) (forall ((X (-> tptp.a Bool))) true))) :rule bind)
% 0.21/0.52 (step t3 (cl (= (forall ((X (-> tptp.a Bool))) true) true)) :rule all_simplify)
% 0.21/0.52 (step t4 (cl (= (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false))) true)) :rule trans :premises (t2 t3))
% 0.21/0.52 (step t5 (cl (= (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)))) (not true))) :rule cong :premises (t4))
% 0.21/0.52 (step t6 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.52 (step t7 (cl (= (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and false (not (@ X Xx)))) (lambda ((Xx tptp.a)) false)))) false)) :rule trans :premises (t5 t6))
% 0.21/0.52 (step t8 (cl false) :rule resolution :premises (t1 t7 a0))
% 0.21/0.52 (step t9 (cl (not false)) :rule false)
% 0.21/0.52 (step t10 (cl) :rule resolution :premises (t8 t9))
% 0.21/0.52
% 0.21/0.52 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.zbzTvmO98T/cvc5---1.0.5_9691.smt2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------