TSTP Solution File: ALG235-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 16:08:52 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 04:46:49 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.n2vcwf7Rx2/cvc5---1.0.5_11378.p...
% 0.20/0.50  ------- get file name : TPTP file name is ALG235-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11378.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for ALG235-1
% 0.20/0.52  % SZS output start Proof for ALG235-1
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (tptp.mult tptp.d tptp.c))) (let ((_let_2 (tptp.mult tptp.a (tptp.mult tptp.b _let_1)))) (let ((_let_3 (tptp.mult tptp.a (tptp.mult tptp.c _let_1)))) (let ((_let_4 (= (tptp.mult tptp.a (tptp.mult tptp.b _let_3)) _let_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.mult A (tptp.mult B (tptp.mult C D))) (tptp.mult C (tptp.mult B (tptp.mult A D))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.mult A B))) (= (tptp.mult A (tptp.mult B _let_1)) _let_1))))) (let ((_let_8 (tptp.mult tptp.a tptp.c))) (let ((_let_9 (= _let_2 (tptp.mult tptp.d (tptp.mult tptp.b _let_8))))) (let ((_let_10 (tptp.mult tptp.c _let_8))) (let ((_let_11 (tptp.mult tptp.d _let_10))) (let ((_let_12 (= _let_3 _let_11))) (let ((_let_13 (tptp.mult tptp.a _let_10))) (let ((_let_14 (= _let_8 _let_13))) (let ((_let_15 (= (tptp.mult tptp.a (tptp.mult tptp.b _let_11)) (tptp.mult tptp.d (tptp.mult tptp.b _let_13))))) (let ((_let_16 (ASSUME :args (_let_5)))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 ((tptp.mult A (tptp.mult B (tptp.mult C D)))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.mult A B))) (= _let_1 (tptp.mult A (tptp.mult B _let_1))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (and _let_5 _let_9 _let_12 _let_14))) (let ((_let_23 (ASSUME :args (_let_9)))) (let ((_let_24 (APPLY_UF tptp.mult))) (let ((_let_25 (ASSUME :args (_let_14)))) (let ((_let_26 (REFL :args (tptp.b)))) (let ((_let_27 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_22)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_16 _let_27 _let_23 _let_25) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.a)) (CONG _let_26 (SYMM _let_27) :args _let_24) :args _let_24) (TRANS (CONG (REFL :args (tptp.d)) (CONG _let_26 (SYMM _let_25) :args _let_24) :args _let_24) (SYMM _let_23)) :args (=)) (FALSE_INTRO _let_16))) :args (_let_5 _let_12 _let_9 _let_14))) :args (_let_5 _let_9 _let_12 _let_14))) :args (true _let_22)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_9))) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_15))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.b tptp.d _let_10 QUANTIFIERS_INST_E_MATCHING _let_19)) :args _let_17)) _let_18 :args (_let_15 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.mult B (tptp.mult A B))))) :args (_let_20))) _let_21 :args (_let_14 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.c tptp.d tptp.c QUANTIFIERS_INST_E_MATCHING _let_19)) :args _let_17)) _let_18 :args (_let_12 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.b tptp.d tptp.c QUANTIFIERS_INST_E_MATCHING _let_19)) :args _let_17)) _let_18 :args (_let_9 false _let_6)) _let_16 :args (false false _let_15 false _let_14 false _let_12 false _let_9 true _let_4)) :args (_let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult C B))) (= (tptp.mult (tptp.mult A (tptp.mult B _let_1)) D) (tptp.mult A (tptp.mult D (tptp.mult _let_1 D)))))) _let_5))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.53  % SZS output end Proof for ALG235-1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------