TSTP Solution File: KLE052+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE052+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 05:27:06 EDT 2023
% Result : Theorem 10.55s 10.77s
% Output : Proof 10.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE052+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n029.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 12:22:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.55/10.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.M6WT1x890X/cvc5---1.0.5_15661.p...
% 10.55/10.77 ------- get file name : TPTP file name is KLE052+1
% 10.55/10.77 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15661.smt2...
% 10.55/10.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.77 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.55/10.77 % SZS status Theorem for KLE052+1
% 10.55/10.77 % SZS output start Proof for KLE052+1
% 10.55/10.77 (
% 10.55/10.77 (let ((_let_1 (not (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.domain X0) X0) X0))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.multiplication _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.addition tptp.one _let_7))) (let ((_let_11 (= (tptp.multiplication _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_9 _let_8)))) (let ((_let_12 (_let_4))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.addition _let_7 tptp.one))) (let ((_let_15 (= _let_14 _let_10))) (let ((_let_16 (= tptp.one _let_14))) (let ((_let_17 (= _let_8 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8)))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_20 (not _let_11))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_26 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (forall ((X0 $$unsorted)) (= X0 (tptp.multiplication (tptp.domain X0) X0))))) (let ((_let_31 (not _let_19))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (_let_31))) (let ((_let_35 (not _let_30))) (let ((_let_36 (and _let_31 _let_18 _let_17 _let_16 _let_15))) (let ((_let_37 (ASSUME :args _let_34))) (let ((_let_38 (ASSUME :args (_let_17)))) (let ((_let_39 (ASSUME :args (_let_18)))) (let ((_let_40 (SYMM _let_39))) (let ((_let_41 (ASSUME :args (_let_16)))) (let ((_let_42 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.one _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_41 _let_38 _let_39 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_42) (SYMM _let_41)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args (APPLY_UF tptp.multiplication)) _let_40) (TRANS (CONG _let_40 (REFL :args (_let_8)) :args (APPLY_UF tptp.addition)) (SYMM _let_38)) :args (=)) (FALSE_INTRO _let_37))) :args (_let_15 _let_16 _let_17 _let_18 _let_31))) :args (_let_31 _let_18 _let_17 _let_16 _let_15))) :args (true _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_19))) (REFL :args ((not _let_18))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args (_let_20)) :args _let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_30))) (REFL :args _let_34) :args _let_33)) _let_32 :args (_let_31 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_25) :args (_let_28))) _let_29 :args (_let_18 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_25) :args (_let_26))) _let_27 :args (_let_17 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args _let_25) :args (_let_23))) _let_24 :args (_let_16 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_7 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_21)) _let_22 :args (_let_15 false _let_6)) :args (_let_20 true _let_19 false _let_18 false _let_17 false _let_16 false _let_15)) _let_13 :args (false true _let_11 false _let_4)) :args (_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (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)) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_4 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))) _let_2 (= (tptp.domain tptp.zero) tptp.zero) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 10.55/10.77 )
% 10.55/10.77 % SZS output end Proof for KLE052+1
% 10.55/10.77 % cvc5---1.0.5 exiting
% 10.55/10.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------