TSTP Solution File: ITP341_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP341_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 : Sat Sep 17 04:18:47 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP341_1 : TPTP v8.1.0. Released v8.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n016.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 : Thu Sep 1 07:47:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.52 % SZS status Theorem
% 0.21/0.52 % SZS output start Proof
% 0.21/0.52 tff(tptp_fun__matrix_matrix_mult___type, type, (
% 0.21/0.52 tptp_fun__matrix_matrix_mult__: ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$')).
% 0.21/0.52 tff(tptp_fun__mat___type, type, (
% 0.21/0.52 tptp_fun__mat__: 'A$' > 'A_n_vec_n_vec$')).
% 0.21/0.52 tff(tptp_fun__dbl_inc_b__type, type, (
% 0.21/0.52 tptp_fun__dbl_inc_b_: 'A$' > 'A$')).
% 0.21/0.52 tff(tptp_fun__zero___type, type, (
% 0.21/0.52 tptp_fun__zero__: 'A$')).
% 0.21/0.52 tff(tptp_fun__one___type, type, (
% 0.21/0.52 tptp_fun__one__: 'A$')).
% 0.21/0.52 tff(tptp_fun__matrix_inv___type, type, (
% 0.21/0.52 tptp_fun__matrix_inv__: 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$')).
% 0.21/0.52 tff(tptp_fun__p___type, type, (
% 0.21/0.52 tptp_fun__p__: 'A_n_vec_n_vec$')).
% 0.21/0.52 tff(1,plain,
% 0.21/0.52 (^[A__questionmark_v0: 'A_n_vec_n_vec$'] : refl((tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0) <=> (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(2,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0) <=> ![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)),
% 0.21/0.52 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.52 tff(3,plain,
% 0.21/0.52 (^[A__questionmark_v0: 'A_n_vec_n_vec$'] : rewrite((tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0) <=> (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(4,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0) <=> ![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)),
% 0.21/0.52 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.52 tff(5,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0) <=> ![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(6,axiom,(![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom9')).
% 0.21/0.52 tff(7,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(|'one$'|)) = A__questionmark_v0)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.52 tff(8,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.21/0.52 tff(9,plain,(
% 0.21/0.52 ![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)),
% 0.21/0.52 inference(skolemize,[status(sab)],[8])).
% 0.21/0.52 tff(10,plain,
% 0.21/0.52 (![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.21/0.52 tff(11,plain,
% 0.21/0.52 ((~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(|'one$'|)) = tptp_fun__matrix_inv__(|'p$'|))) <=> (~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = tptp_fun__matrix_inv__(|'p$'|)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(12,plain,
% 0.21/0.52 ((~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(|'one$'|)) = tptp_fun__matrix_inv__(|'p$'|))) <=> (~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(|'one$'|)) = tptp_fun__matrix_inv__(|'p$'|)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(13,axiom,(~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(|'one$'|)) = tptp_fun__matrix_inv__(|'p$'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture3')).
% 0.21/0.54 tff(14,plain,
% 0.21/0.54 (~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(|'one$'|)) = tptp_fun__matrix_inv__(|'p$'|))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.54 tff(15,plain,
% 0.21/0.54 (~(tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = tptp_fun__matrix_inv__(|'p$'|))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[14, 11])).
% 0.21/0.54 tff(16,plain,
% 0.21/0.54 ((~![A__questionmark_v0: 'A_n_vec_n_vec$'] : (tptp_fun__matrix_matrix_mult__(A__questionmark_v0, tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = A__questionmark_v0)) | (tptp_fun__matrix_matrix_mult__(tptp_fun__matrix_inv__(|'p$'|), tptp_fun__mat__(tptp_fun__dbl_inc_b_(|'zero$'|))) = tptp_fun__matrix_inv__(|'p$'|))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(17,plain,
% 0.21/0.54 ($false),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[16, 15, 10])).
% 0.21/0.54 % SZS output end Proof
%------------------------------------------------------------------------------