TSTP Solution File: KLE138+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 05:27:22 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:52:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YAlcWBeBeW/cvc5---1.0.5_11168.p...
% 0.21/0.56 ------- get file name : TPTP file name is KLE138+1
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11168.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for KLE138+1
% 0.21/0.56 % SZS output start Proof for KLE138+1
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (tptp.strong_iteration tptp.zero))) (let ((_let_2 (not (= _let_1 tptp.one)))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (= tptp.one _let_1))) (let ((_let_8 (tptp.multiplication tptp.zero _let_1))) (let ((_let_9 (tptp.addition _let_8 tptp.one))) (let ((_let_10 (= _let_1 _let_9))) (let ((_let_11 (= _let_9 (tptp.addition tptp.one _let_8)))) (let ((_let_12 (= tptp.zero _let_8))) (let ((_let_13 (= tptp.one (tptp.addition tptp.one tptp.zero)))) (let ((_let_14 (SYMM (ASSUME :args (_let_2))))) (let ((_let_15 (_let_3))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_13))) (let ((_let_24 (_let_23))) (let ((_let_25 (not _let_7))) (let ((_let_26 (ASSUME :args (_let_13)))) (let ((_let_27 (ASSUME :args (_let_10)))) (let ((_let_28 (ASSUME :args (_let_11)))) (let ((_let_29 (ASSUME :args (_let_12)))) (let ((_let_30 (REFL :args (tptp.one)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_26 (MODUS_PONENS (AND_INTRO _let_14 _let_27 _let_28 _let_29) (SCOPE (FALSE_ELIM (TRANS (CONG _let_30 (TRANS (CONG _let_30 (SYMM (SYMM _let_29)) :args (APPLY_UF tptp.addition)) (SYMM _let_28) (SYMM _let_27)) :args (=)) (FALSE_INTRO _let_14))) :args (_let_25 _let_10 _let_11 _let_12)))) :args (_let_25 _let_10 _let_11 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_24))) (TRUE_INTRO (SYMM (SYMM _let_26))))) :args (_let_13 _let_23)) :args ((not (and _let_25 _let_10 _let_11 _let_12 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_7))) (REFL :args ((not _let_10))) (REFL :args ((not _let_11))) (REFL :args ((not _let_12))) (REFL :args _let_24) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_21))) _let_22 :args (_let_13 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_19))) _let_20 :args (_let_12 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_8 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_17)) _let_18 :args (_let_11 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_15)) _let_16 :args (_let_10 false _let_3)) _let_14 :args (false false _let_13 false _let_12 false _let_11 false _let_10 true _let_7)) :args (_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_5 (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 $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (forall ((A $$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)))) _let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_2 true)))))))))))))))))))))))))))))))))
% 0.21/0.56 )
% 0.21/0.56 % SZS output end Proof for KLE138+1
% 0.21/0.56 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------