TSTP Solution File: BOO018-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Wed Aug 30 18:06:21 EDT 2023

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 07:55:41 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ayIoNbVVJf/cvc5---1.0.5_20558.p...
% 0.19/0.49  ------- get file name : TPTP file name is BOO018-4
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20558.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.51  % SZS status Unsatisfiable for BOO018-4
% 0.19/0.51  % SZS output start Proof for BOO018-4
% 0.19/0.51  (
% 0.19/0.51  (let ((_let_1 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_2 (not (= _let_1 tptp.additive_identity)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))))) (let ((_let_6 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_7 (tptp.multiply _let_1 tptp.multiplicative_identity))) (let ((_let_8 (= _let_1 _let_7))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (tptp.multiply tptp.multiplicative_identity _let_1))) (let ((_let_11 (= _let_10 _let_7))) (let ((_let_12 (= tptp.additive_identity _let_10))) (let ((_let_13 (= tptp.additive_identity _let_1))) (let ((_let_14 (not _let_8))) (let ((_let_15 (_let_5))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (SYMM (ASSUME :args (_let_2))))) (let ((_let_20 (not _let_13))) (let ((_let_21 (and _let_20 _let_12 _let_11))) (let ((_let_22 (ASSUME :args (_let_12)))) (let ((_let_23 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X tptp.multiplicative_identity)))) :args (_let_6))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_21)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_22 _let_23 _let_19) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (SYMM _let_23) (SYMM _let_22)) (REFL :args (_let_1)) :args (=)) (FALSE_INTRO _let_19)) :args ((= _let_8 false)))) :args (_let_12 _let_11 _let_20))) :args (_let_20 _let_12 _let_11))) :args (true _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_13))) (REFL :args ((not _let_12))) (REFL :args ((not _let_11))) (REFL :args (_let_14)) :args (or))) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_17))) _let_18 :args (_let_12 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.multiplicative_identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X Y)))) :args _let_15)) _let_16 :args (_let_11 false _let_5)) :args (_let_14 true _let_13 false _let_12 false _let_11)) _let_9 :args (false true _let_8 false _let_6)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) _let_4 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)) _let_3 _let_2))))))))))))))))))))))))))
% 0.19/0.51  )
% 0.19/0.52  % SZS output end Proof for BOO018-4
% 0.19/0.52  % cvc5---1.0.5 exiting
% 0.19/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------