TSTP Solution File: KLE129+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 05:27:21 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
% 0.12/0.13 % Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n011.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 Aug 29 11:23:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MDh9Avxfue/cvc5---1.0.5_30713.p...
% 0.21/0.54 ------- get file name : TPTP file name is KLE129+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30713.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 KLE129+1
% 0.21/0.54 % SZS output start Proof for KLE129+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (=> (= (tptp.addition _let_1 _let_2) _let_2) (= _let_1 tptp.zero))))) (= (tptp.divergence X0) tptp.zero)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= (tptp.forward_diamond X0 _let_1) _let_1))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_5 (tptp.divergence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (= _let_5 _let_6))) (let ((_let_8 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain _let_5)))) (let ((_let_9 (tptp.domain _let_8))) (let ((_let_10 (= _let_6 _let_9))) (let ((_let_11 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_12 (= _let_11 (tptp.addition _let_9 _let_11)))) (let ((_let_13 (= _let_11 (tptp.addition _let_11 _let_11)))) (let ((_let_14 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= _let_1 (tptp.forward_diamond X0 _let_1)))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divergence X0)))) :args (_let_14))) _let_15 :args (_let_7 false _let_14)))) (let ((_let_17 (_let_3))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.forward_diamond X0 X1)))) :args _let_17)) _let_18 :args (_let_10 false _let_3)))) (let ((_let_20 (= tptp.zero _let_9))) (let ((_let_21 (not _let_12))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))) (or (not (= _let_2 (tptp.addition _let_1 _let_2))) (= tptp.zero _let_1))))))) (let ((_let_24 (= tptp.zero _let_5))) (let ((_let_25 (not _let_23))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((X0 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (or (not (= _let_2 (tptp.addition _let_1 _let_2))) (= tptp.zero _let_1)))))) (= tptp.zero (tptp.divergence X0)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (_let_23))) (let ((_let_34 (not _let_20))) (let ((_let_35 (not _let_24))) (let ((_let_36 (REFL :args ((not _let_10))))) (let ((_let_37 (REFL :args ((not _let_7))))) (let ((_let_38 (and _let_35 _let_7 _let_10))) (let ((_let_39 (_let_35 _let_7 _let_10))) (let ((_let_40 (ASSUME :args (_let_35)))) (let ((_let_41 (=))) (let ((_let_42 (ASSUME :args (_let_7)))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (ASSUME :args (_let_10)))) (let ((_let_45 (SYMM _let_44))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (not _let_13))) (let ((_let_50 (_let_49))) (let ((_let_51 (ASSUME :args (_let_13)))) (let ((_let_52 (ASSUME :args (_let_21)))) (let ((_let_53 (REFL :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_51 (MODUS_PONENS (AND_INTRO _let_52 _let_44 _let_42) (SCOPE (FALSE_ELIM (TRANS (CONG _let_53 (CONG (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (TRANS _let_45 _let_43) :args (APPLY_UF tptp.forward_diamond)) _let_46) _let_53 :args (APPLY_UF tptp.addition)) :args _let_41) (FALSE_INTRO _let_52))) :args (_let_21 _let_10 _let_7)))) :args (_let_7 _let_10 _let_21 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_50))) (TRUE_INTRO (SYMM (SYMM _let_51))))) :args (_let_13 _let_49)) :args ((not (and _let_7 _let_10 _let_21 _let_13)) SB_LITERAL))) (CONG _let_37 _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_12))) (REFL :args _let_50) :args _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_47))) _let_48 :args (_let_13 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 (not _let_22)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_38)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_40 _let_42 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.zero)) (TRANS (SYMM _let_46) _let_43) :args _let_41) (FALSE_INTRO _let_40))) :args _let_39)) :args _let_39)) :args (true _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_24))) _let_37 _let_36 (REFL :args (_let_34)) :args _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_32 :args (_let_35 true _let_26)) _let_16 _let_19 :args (_let_34 true _let_24 false _let_7 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.domain X1) tptp.zero))))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_23))) :args _let_30)) :args ((or _let_23 _let_26))) _let_32 :args (_let_23 true _let_26)) :args (_let_22 false _let_23)) :args (_let_21 true _let_20 false _let_22)) _let_19 _let_16 :args (false false _let_13 true _let_12 false _let_10 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))) _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_diamond X0 X1) (tptp.codomain (tptp.multiplication (tptp.codomain X1) X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_box X0 X1) (tptp.c (tptp.forward_diamond X0 (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_box X0 X1) (tptp.c (tptp.backward_diamond X0 (tptp.c X1))))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.addition (tptp.divergence X1) (tptp.forward_diamond (tptp.star X1) _let_1)))) (let ((_let_3 (tptp.domain X0))) (let ((_let_4 (tptp.addition (tptp.forward_diamond X1 _let_3) _let_1))) (=> (= (tptp.addition _let_3 _let_4) _let_4) (= (tptp.addition _let_3 _let_2) _let_2))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for KLE129+1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------