TSTP Solution File: KRS178+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 : Thu Aug 31 05:41:43 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.19/0.35 % Computer : n016.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Mon Aug 28 02:38:59 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Pn368rUk2d/cvc5---1.0.5_28755.p...
% 0.21/0.54 ------- get file name : TPTP file name is KRS178+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28755.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for KRS178+1
% 0.21/0.54 % SZS output start Proof for KRS178+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((S1 $$unsorted)) (tptp.isa S1 S1)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (=> (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.isa S1 S2))))) (let ((_let_4 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.isa S1 S2) (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (tptp.status Ax C S2))))))) (let ((_let_5 (tptp.isa SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_6 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (_let_2))) (let ((_let_9 (ASSUME :args _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_6 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.isa S1 S2)))) :args (_let_4)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_9) :args _let_8)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_7)) :args (or))) _let_9 :args (_let_7 true _let_1)) _let_6 :args (false true _let_5 false _let_4)) :args ((forall ((S1 $$unsorted) (S2 $$unsorted)) (= (exists ((Ax $$unsorted) (C $$unsorted)) (and (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.mighta S1 S2))) _let_3 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (exists ((Ax $$unsorted) (C $$unsorted)) (and (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nota S1 S2))) (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (=> (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nevera S1 S2))) (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (xor (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.xora S1 S2))) (forall ((I $$unsorted) (F $$unsorted)) (xor (tptp.model I F) (tptp.model I (tptp.not F)))) (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I F) (not (tptp.model I (tptp.not F))))) (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I F))) (exists ((F $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 F)) (exists ((I2 $$unsorted)) (not (tptp.model I2 F))))) (exists ((F $$unsorted)) (forall ((I $$unsorted)) (not (tptp.model I F)))) (exists ((Ax $$unsorted) (C $$unsorted)) (and (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (exists ((I2 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 C)))))) (exists ((Ax $$unsorted) (C $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (=> (tptp.model I2 Ax) (tptp.model I2 C))) (exists ((I3 $$unsorted)) (and (not (tptp.model I3 Ax)) (tptp.model I3 C))) (exists ((I4 $$unsorted)) (not (tptp.model I4 C))))) (exists ((I1 $$unsorted) (Ax $$unsorted) (C $$unsorted)) (and (tptp.model I1 Ax) (not (tptp.model I1 C)) (exists ((I2 $$unsorted)) (tptp.model I2 C)))) _let_2 true))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for KRS178+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------