TSTP Solution File: KLE085+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 05:27:13 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 12:46:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lBMdd2yDEd/cvc5---1.0.5_28411.p...
% 0.20/0.53 ------- get file name : TPTP file name is KLE085+1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28411.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for KLE085+1
% 0.20/0.53 % SZS output start Proof for KLE085+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_5 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (= tptp.one (tptp.addition _let_7 tptp.one)))) (let ((_let_9 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.antidomain _let_9))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.addition _let_10 _let_9))) (let ((_let_13 (= tptp.one _let_12))) (let ((_let_14 (= _let_12 (tptp.addition _let_9 _let_10)))) (let ((_let_15 (tptp.addition _let_7 _let_10))) (let ((_let_16 (tptp.addition _let_15 _let_9))) (let ((_let_17 (= (tptp.addition _let_7 _let_12) _let_16))) (let ((_let_18 (= _let_16 (tptp.addition _let_9 _let_15)))) (let ((_let_19 (= _let_10 (tptp.addition _let_10 _let_10)))) (let ((_let_20 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_21 (not _let_8))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_20))) (let ((_let_24 (_let_2))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_6))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((tptp.addition A B)))) (let ((_let_31 (_let_5))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (and _let_11 _let_13 _let_14 _let_17 _let_18 _let_19))) (let ((_let_36 (APPLY_UF tptp.addition))) (let ((_let_37 (ASSUME :args (_let_13)))) (let ((_let_38 (REFL :args (_let_7)))) (let ((_let_39 (ASSUME :args (_let_17)))) (let ((_let_40 (ASSUME :args (_let_18)))) (let ((_let_41 (ASSUME :args (_let_11)))) (let ((_let_42 (SYMM _let_41))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (CONG _let_38 _let_43 :args _let_36))) (let ((_let_45 (REFL :args (_let_9)))) (let ((_let_46 (ASSUME :args (_let_19)))) (let ((_let_47 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_37 _let_39 _let_40 _let_41 _let_46 _let_47) (SCOPE (TRANS _let_37 (SYMM (SYMM _let_47)) (CONG _let_45 _let_42 :args _let_36) (CONG _let_45 (TRANS _let_43 (SYMM (SYMM _let_46)) (CONG _let_42 (REFL :args (_let_10)) :args _let_36) (SYMM _let_44)) :args _let_36) (CONG _let_45 _let_44 :args _let_36) (SYMM _let_40) (SYMM _let_39) (CONG _let_38 (SYMM _let_37) :args _let_36)) :args (_let_13 _let_17 _let_18 _let_11 _let_19 _let_14))) :args (_let_11 _let_13 _let_14 _let_17 _let_18 _let_19))) :args (true _let_35)) :args ((or _let_8 (not _let_11) (not _let_13) (not _let_14) (not _let_17) (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_33))) _let_34 :args (_let_19 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_15 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_28)) _let_29 :args (_let_18 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_9 _let_10 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_31)) _let_32 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_10 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_28)) _let_29 :args (_let_14 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.antidomain (tptp.antidomain X0))))) :args (_let_26))) _let_27 :args (_let_13 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args _let_24)) _let_25 :args (_let_11 false _let_2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_20))) (REFL :args (_let_21)) :args (or))) _let_22 :args (_let_21 true _let_20)) :args (false false _let_19 false _let_18 false _let_17 false _let_14 false _let_13 false _let_11 true _let_8)) :args (_let_6 _let_5 (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 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_3 _let_2 (forall ((X0 $$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)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for KLE085+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------