TSTP Solution File: SYO125^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n008.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 18:30:28 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 28 06:22:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.JJ2ll52M4y/cvc5---1.0.5_22184.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.JJ2ll52M4y/cvc5---1.0.5_22184.smt2
% 0.21/0.51 (assume a0 (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR))))
% 0.21/0.51 (assume a1 true)
% 0.21/0.51 (step t1 (cl (not (= (= tptp.cR tptp.cQ) false)) (not (= tptp.cR tptp.cQ)) false) :rule equiv_pos2)
% 0.21/0.51 (step t2 (cl (and (= tptp.cP tptp.cQ) (= tptp.cR (not tptp.cP))) (not (= tptp.cP tptp.cQ)) (not (= tptp.cR (not tptp.cP)))) :rule and_neg)
% 0.21/0.51 (step t3 (cl (not (= (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR))) (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP))))) (not (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR)))) (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP)))) :rule equiv_pos2)
% 0.21/0.51 (step t4 (cl (= (= tptp.cP tptp.cQ) (= tptp.cP tptp.cQ))) :rule refl)
% 0.21/0.51 (step t5 (cl (= (= tptp.cQ tptp.cR) (= tptp.cR tptp.cQ))) :rule all_simplify)
% 0.21/0.51 (step t6 (cl (= (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)))) :rule cong :premises (t4 t5))
% 0.21/0.51 (step t7 (cl (= (= tptp.cP tptp.cR) (= tptp.cR tptp.cP))) :rule all_simplify)
% 0.21/0.51 (step t8 (cl (= (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR)) (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP)))) :rule cong :premises (t6 t7))
% 0.21/0.51 (step t9 (cl (= (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR))) (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP))))) :rule cong :premises (t8))
% 0.21/0.51 (step t10 (cl (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP)))) :rule resolution :premises (t3 t9 a0))
% 0.21/0.51 (step t11 (cl (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ))) :rule not_implies1 :premises (t10))
% 0.21/0.51 (step t12 (cl (= tptp.cP tptp.cQ)) :rule and :premises (t11))
% 0.21/0.51 (step t13 (cl (not (= (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR))) (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP))))) (not (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cQ tptp.cR)) (= tptp.cP tptp.cR)))) (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP)))) :rule equiv_pos2)
% 0.21/0.51 (step t14 (cl (not (=> (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ)) (= tptp.cR tptp.cP)))) :rule resolution :premises (t13 t9 a0))
% 0.21/0.51 (step t15 (cl (not (= tptp.cR tptp.cP))) :rule not_implies2 :premises (t14))
% 0.21/0.51 (step t16 (cl (= tptp.cR (not tptp.cP))) :rule hole :premises (t15) :args ((= tptp.cR (not tptp.cP))))
% 0.21/0.51 (step t17 (cl (and (= tptp.cP tptp.cQ) (= tptp.cR (not tptp.cP)))) :rule resolution :premises (t2 t12 t16))
% 0.21/0.51 (step t18 (cl (= tptp.cR (not tptp.cP))) :rule and :premises (t17))
% 0.21/0.51 (step t19 (cl (= tptp.cP tptp.cQ)) :rule and :premises (t17))
% 0.21/0.51 (step t20 (cl (= (not tptp.cP) (not tptp.cQ))) :rule cong :premises (t19))
% 0.21/0.51 (step t21 (cl (= tptp.cR (not tptp.cQ))) :rule trans :premises (t18 t20))
% 0.21/0.51 (step t22 (cl (= tptp.cQ tptp.cQ)) :rule refl)
% 0.21/0.51 (step t23 (cl (= (= tptp.cR tptp.cQ) (= (not tptp.cQ) tptp.cQ))) :rule cong :premises (t21 t22))
% 0.21/0.51 (step t24 (cl (= (= (not tptp.cQ) tptp.cQ) false)) :rule all_simplify)
% 0.21/0.51 (step t25 (cl (= (= tptp.cR tptp.cQ) false)) :rule trans :premises (t23 t24))
% 0.21/0.51 (step t26 (cl (and (= tptp.cP tptp.cQ) (= tptp.cR tptp.cQ))) :rule not_implies1 :premises (t10))
% 0.21/0.51 (step t27 (cl (= tptp.cR tptp.cQ)) :rule and :premises (t26))
% 0.21/0.51 (step t28 (cl false) :rule resolution :premises (t1 t25 t27))
% 0.21/0.51 (step t29 (cl (not false)) :rule false)
% 0.21/0.51 (step t30 (cl) :rule resolution :premises (t28 t29))
% 0.21/0.51
% 0.21/0.51 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.JJ2ll52M4y/cvc5---1.0.5_22184.smt2
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.51 % cvc5---1.0.5 exiting
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