TSTP Solution File: COM012+1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n031.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 Mar 6 08:53:59 EST 2024
% Result : Theorem 9.64s 9.83s
% Output : Proof 9.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Mar 4 12:06:17 EST 2024
% 0.12/0.33 % CPUTime :
% 9.64/9.83 % SZS status Theorem for theBenchmark
% 9.64/9.83 % SZS output start Proof for theBenchmark
% 9.64/9.83
% 9.64/9.83 % Formula: mElmSort ( axiom ) converted to clauses:
% 9.64/9.83
% 9.64/9.83 % Formula: mRelSort ( axiom ) converted to clauses:
% 9.64/9.83
% 9.64/9.83 % Formula: mReduct ( axiom ) converted to clauses:
% 9.64/9.83 cnf(mReduct-1, axiom, ( ~aElement0(_u4) | ~aRewritingSystem0(_u3) | ~aReductOfIn0(_u2, _u4, _u3) | aElement0(_u2) )).
% 9.64/9.83
% 9.64/9.83 % Formula: mWFOrd ( axiom ) converted to clauses:
% 9.64/9.83
% 9.64/9.83 % Formula: mTCbr ( axiom ) converted to clauses:
% 9.64/9.83
% 9.64/9.83 % Formula: mTCDef ( definition ) converted to clauses:
% 9.64/9.83 cnf(mTCDef-1, definition, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | aElement0(skolem1(_u14, _u13, _u12)) )).
% 9.64/9.83 cnf(mTCDef-2, definition, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | aReductOfIn0(skolem1(_u14, _u13, _u12), _u14, _u13) )).
% 9.64/9.83 cnf(mTCDef-3, definition, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | sdtmndtplgtdt0(skolem1(_u14, _u13, _u12), _u13, _u12) )).
% 9.64/9.83 cnf(mTCDef-4, definition, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | sdtmndtplgtdt0(_u14, _u13, _u12) | ~aReductOfIn0(_u12, _u14, _u13) )).
% 9.64/9.83 cnf(mTCDef-5, definition, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | sdtmndtplgtdt0(_u14, _u13, _u12) | ~aElement0(_u11) | ~aReductOfIn0(_u11, _u14, _u13) | ~sdtmndtplgtdt0(_u11, _u13, _u12) )).
% 9.64/9.83
% 9.64/9.83 % Formula: mTCTrans ( axiom ) converted to clauses:
% 9.64/9.83 cnf(mTCTrans-1, axiom, ( ~aElement0(_u18) | ~aRewritingSystem0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ~sdtmndtplgtdt0(_u18, _u17, _u16) | ~sdtmndtplgtdt0(_u16, _u17, _u15) | sdtmndtplgtdt0(_u18, _u17, _u15) )).
% 9.64/9.83
% 9.64/9.83 % Formula: mTCRDef ( definition ) converted to clauses:
% 9.64/9.83 cnf(mTCRDef-1, definition, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | ~sdtmndtasgtdt0(_u21, _u20, _u19) | ( _u21 = _u19) | sdtmndtplgtdt0(_u21, _u20, _u19) )).
% 9.64/9.83 cnf(mTCRDef-2, definition, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | sdtmndtasgtdt0(_u21, _u20, _u19) | ( _u21 != _u19) )).
% 9.64/9.83 cnf(mTCRDef-3, definition, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | sdtmndtasgtdt0(_u21, _u20, _u19) | ~sdtmndtplgtdt0(_u21, _u20, _u19) )).
% 9.64/9.83
% 9.64/9.83 % Formula: m__349 ( hypothesis ) converted to clauses:
% 9.64/9.83 cnf(m__349-1, hypothesis, ( aElement0(xx) )).
% 9.64/9.83 cnf(m__349-2, hypothesis, ( aRewritingSystem0(xR) )).
% 9.64/9.83 cnf(m__349-3, hypothesis, ( aElement0(xy) )).
% 9.64/9.83 cnf(m__349-4, hypothesis, ( aElement0(xz) )).
% 9.64/9.83
% 9.64/9.83 % Formula: m__ ( conjecture ) converted to clauses:
% 9.64/9.83 cnf(m__-1, negated_conjecture, ( sdtmndtasgtdt0(xx, xR, xy) )).
% 9.64/9.83 cnf(m__-2, negated_conjecture, ( sdtmndtasgtdt0(xy, xR, xz) )).
% 9.64/9.83 cnf(m__-3, negated_conjecture, ( ~sdtmndtasgtdt0(xx, xR, xz) )).
% 9.64/9.83
% 9.64/9.83 % Problem matrix:
% 9.64/9.83 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 9.64/9.83 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 9.64/9.83 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 9.64/9.83 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 9.64/9.83 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~aElement0(__eqx_0) | aElement0(__eqy_0) )).
% 9.64/9.83 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~aRewritingSystem0(__eqx_0) | aRewritingSystem0(__eqy_0) )).
% 9.64/9.83 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aReductOfIn0(__eqx_0, __eqx_1, __eqx_2) | aReductOfIn0(__eqy_0, __eqy_1, __eqy_2) )).
% 9.64/9.83 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~iLess0(__eqx_0, __eqx_1) | iLess0(__eqy_0, __eqy_1) )).
% 9.64/9.83 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~sdtmndtplgtdt0(__eqx_0, __eqx_1, __eqx_2) | sdtmndtplgtdt0(__eqy_0, __eqy_1, __eqy_2) )).
% 9.64/9.83 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~sdtmndtasgtdt0(__eqx_0, __eqx_1, __eqx_2) | sdtmndtasgtdt0(__eqy_0, __eqy_1, __eqy_2) )).
% 9.64/9.83 cnf(matrix-10, plain, ( ~aElement0(_u4) | ~aRewritingSystem0(_u3) | ~aReductOfIn0(_u2, _u4, _u3) | aElement0(_u2) )).
% 9.64/9.83 cnf(matrix-11, plain, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | aElement0(skolem1(_u14, _u13, _u12)) )).
% 9.64/9.83 cnf(matrix-12, plain, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | aReductOfIn0(skolem1(_u14, _u13, _u12), _u14, _u13) )).
% 9.64/9.83 cnf(matrix-13, plain, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | ~sdtmndtplgtdt0(_u14, _u13, _u12) | aReductOfIn0(_u12, _u14, _u13) | sdtmndtplgtdt0(skolem1(_u14, _u13, _u12), _u13, _u12) )).
% 9.64/9.83 cnf(matrix-14, plain, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | sdtmndtplgtdt0(_u14, _u13, _u12) | ~aReductOfIn0(_u12, _u14, _u13) )).
% 9.64/9.83 cnf(matrix-15, plain, ( ~aElement0(_u14) | ~aRewritingSystem0(_u13) | ~aElement0(_u12) | sdtmndtplgtdt0(_u14, _u13, _u12) | ~aElement0(_u11) | ~aReductOfIn0(_u11, _u14, _u13) | ~sdtmndtplgtdt0(_u11, _u13, _u12) )).
% 9.64/9.83 cnf(matrix-16, plain, ( ~aElement0(_u18) | ~aRewritingSystem0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ~sdtmndtplgtdt0(_u18, _u17, _u16) | ~sdtmndtplgtdt0(_u16, _u17, _u15) | sdtmndtplgtdt0(_u18, _u17, _u15) )).
% 9.64/9.83 cnf(matrix-17, plain, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | ~sdtmndtasgtdt0(_u21, _u20, _u19) | ( _u21 = _u19) | sdtmndtplgtdt0(_u21, _u20, _u19) )).
% 9.64/9.83 cnf(matrix-18, plain, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | sdtmndtasgtdt0(_u21, _u20, _u19) | ( _u21 != _u19) )).
% 9.64/9.83 cnf(matrix-19, plain, ( ~aElement0(_u21) | ~aRewritingSystem0(_u20) | ~aElement0(_u19) | sdtmndtasgtdt0(_u21, _u20, _u19) | ~sdtmndtplgtdt0(_u21, _u20, _u19) )).
% 9.64/9.83 cnf(matrix-20, plain, ( aElement0(xx) )).
% 9.64/9.83 cnf(matrix-21, plain, ( aRewritingSystem0(xR) )).
% 9.64/9.83 cnf(matrix-22, plain, ( aElement0(xy) )).
% 9.64/9.83 cnf(matrix-23, plain, ( aElement0(xz) )).
% 9.64/9.83 cnf(matrix-24, plain, ( sdtmndtasgtdt0(xx, xR, xy) )).
% 9.64/9.83 cnf(matrix-25, plain, ( sdtmndtasgtdt0(xy, xR, xz) )).
% 9.64/9.83 cnf(matrix-26, plain, ( ~sdtmndtasgtdt0(xx, xR, xz) )).
% 9.64/9.83
% 9.64/9.83 % Proof stack:
% 9.64/9.83 cnf(proof-stack, plain,
% 9.64/9.83 proof_stack(
% 9.64/9.83 start(26),
% 9.64/9.83 left_branch(0, 19, 3, 2),
% 9.64/9.83 left_branch(0, 20, 0, 3),
% 9.64/9.83 right_branch(3),
% 9.64/9.83 left_branch(0, 16, 6, 4),
% 9.64/9.83 lemmata(0, 0),
% 9.64/9.83 left_branch(0, 17, 5, 6),
% 9.64/9.83 left_branch(0, 22, 0, 7),
% 9.64/9.83 right_branch(7),
% 9.64/9.83 left_branch(0, 9, 2, 8),
% 9.64/9.83 left_branch(0, 1, 1, 9),
% 9.64/9.83 left_branch(0, 0, 0, 10),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 right_branch(9),
% 9.64/9.83 left_branch(0, 24, 0, 10),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 reduction(0, 0),
% 9.64/9.83 left_branch(0, 0, 0, 12),
% 9.64/9.83 right_branch(12),
% 9.64/9.83 right_branch(8),
% 9.64/9.83 left_branch(0, 25, 0, 9),
% 9.64/9.83 right_branch(9),
% 9.64/9.83 left_branch(0, 23, 0, 10),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 left_branch(0, 21, 0, 11),
% 9.64/9.83 right_branch(11),
% 9.64/9.83 right_branch(6),
% 9.64/9.83 left_branch(0, 17, 5, 7),
% 9.64/9.83 lemmata(0, 0),
% 9.64/9.83 left_branch(0, 1, 0, 9),
% 9.64/9.83 left_branch(0, 9, 0, 10),
% 9.64/9.83 reduction(0, 0),
% 9.64/9.83 left_branch(0, 25, 0, 12),
% 9.64/9.83 right_branch(12),
% 9.64/9.83 left_branch(0, 0, 0, 13),
% 9.64/9.83 right_branch(13),
% 9.64/9.83 left_branch(0, 0, 0, 14),
% 9.64/9.83 right_branch(14),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 right_branch(9),
% 9.64/9.83 left_branch(0, 24, 0, 10),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 left_branch(0, 22, 0, 11),
% 9.64/9.83 right_branch(11),
% 9.64/9.83 left_branch(0, 21, 0, 12),
% 9.64/9.83 right_branch(12),
% 9.64/9.83 right_branch(7),
% 9.64/9.83 left_branch(0, 23, 0, 8),
% 9.64/9.83 right_branch(8),
% 9.64/9.83 left_branch(0, 22, 0, 9),
% 9.64/9.83 right_branch(9),
% 9.64/9.83 left_branch(0, 21, 0, 10),
% 9.64/9.83 right_branch(10),
% 9.64/9.83 right_branch(4),
% 9.64/9.83 left_branch(0, 23, 0, 5),
% 9.64/9.83 right_branch(5),
% 9.64/9.83 left_branch(0, 21, 0, 6),
% 9.64/9.83 right_branch(6),
% 9.64/9.83 right_branch(2)
% 9.64/9.83 )).
% 9.64/9.83 % SZS output end Proof for theBenchmark
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