TSTP Solution File: LCL414+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 07:01:52 EDT 2023

% Result   : Theorem 10.35s 10.54s
% Output   : Proof 10.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 03:54:40 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.35/10.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Fm5f7nVFMY/cvc5---1.0.5_2675.p...
% 10.35/10.54  ------- get file name : TPTP file name is LCL414+1
% 10.35/10.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2675.smt2...
% 10.35/10.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.35/10.54  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.35/10.54  % SZS status Theorem for LCL414+1
% 10.35/10.54  % SZS output start Proof for LCL414+1
% 10.35/10.54  (
% 10.35/10.54  (let ((_let_1 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (tptp.a_truth (tptp.implies (tptp.implies P (tptp.implies Q R)) (tptp.implies (tptp.implies P Q) (tptp.implies P R))))))) (let ((_let_2 (forall ((P $$unsorted) (Q $$unsorted)) (tptp.a_truth (tptp.implies P (tptp.implies Q P)))))) (let ((_let_3 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.a_truth (tptp.implies P Q))) (not (tptp.a_truth P)) (tptp.a_truth Q))))) (let ((_let_4 (not (not (and _let_3 _let_2 _let_1 (forall ((P $$unsorted) (Q $$unsorted)) (tptp.a_truth (tptp.implies (tptp.implies (tptp.not P) (tptp.not Q)) (tptp.implies Q P)))) (exists ((A $$unsorted)) (not (tptp.a_truth (tptp.implies A A))))))))) (let ((_let_5 (tptp.implies SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (tptp.implies SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (tptp.implies _let_6 _let_5))) (let ((_let_8 (tptp.a_truth _let_7))) (let ((_let_9 (tptp.implies SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.implies _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_10 (tptp.a_truth _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.a_truth (tptp.implies _let_9 _let_7)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_8))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (AND_ELIM _let_15 :args (0)))) (let ((_let_17 (not _let_14))) (let ((_let_18 (tptp.a_truth _let_5))) (let ((_let_19 (tptp.a_truth _let_6))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_8))) (let ((_let_22 (or _let_21 _let_20 _let_18))) (let ((_let_23 (_let_3))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (AND_ELIM _let_15 :args (1)))) (let ((_let_26 (_let_2))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (forall ((A $$unsorted)) (tptp.a_truth (tptp.implies A A))))) (let ((_let_29 (not _let_18))) (let ((_let_30 (not _let_28))) (let ((_let_31 (_let_30))) (let ((_let_32 (_let_1))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_9 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_13 _let_8 _let_17))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_25 :args (_let_10 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_32)) (AND_ELIM _let_15 :args (2)) :args (_let_12 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_18 _let_20 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args (or))) (AND_ELIM _let_15 :args (4)) :args (_let_29 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_25 :args (_let_19 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_6 _let_5 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_16 :args (_let_22 false _let_3)) :args (_let_21 true _let_18 false _let_19 false _let_22)) :args (_let_17 false _let_10 false _let_12 true _let_8)) _let_16 :args (false true _let_14 false _let_3)) :args (_let_4 true)))))))))))))))))))))))))))))))))))
% 10.35/10.54  )
% 10.35/10.54  % SZS output end Proof for LCL414+1
% 10.35/10.54  % cvc5---1.0.5 exiting
% 10.35/10.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------