TSTP Solution File: SEU144+1 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SEU144+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n023.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 : Mon Mar 25 14:33:17 EDT 2024
% Result : Theorem 19.75s 19.91s
% Output : Proof 19.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU144+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 14:39:12 EDT 2024
% 0.13/0.33 % CPUTime :
% 19.75/19.91 % SZS status Theorem for theBenchmark
% 19.75/19.91 % SZS output start Proof for theBenchmark
% 19.75/19.91
% 19.75/19.91 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 19.75/19.91 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 19.75/19.91
% 19.75/19.91 % Formula: d1_tarski ( axiom ) converted to clauses:
% 19.75/19.91 cnf(d1_tarski-1, axiom, ( ( _u10 != singleton(_u12)) | ~in(_u6, _u10) | ( _u6 = _u12) )).
% 19.75/19.91 cnf(d1_tarski-2, axiom, ( ( _u10 != singleton(_u12)) | ( _u7 != _u12) | in(_u7, _u10) )).
% 19.75/19.91 cnf(d1_tarski-3, axiom, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ( skolem2(_u13, _u11) = _u13) )).
% 19.75/19.91 cnf(d1_tarski-4, axiom, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 19.75/19.91 cnf(d1_tarski-5, axiom, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ( skolem2(_u13, _u11) = _u13) )).
% 19.75/19.91 cnf(d1_tarski-6, axiom, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 19.75/19.91
% 19.75/19.91 % Formula: d3_tarski ( axiom ) converted to clauses:
% 19.75/19.91 cnf(d3_tarski-1, axiom, ( ~subset(_u20, _u18) | ~in(_u14, _u20) | in(_u14, _u18) )).
% 19.75/19.91 cnf(d3_tarski-2, axiom, ( subset(_u21, _u19) | in(skolem3(_u21, _u19), _u21) )).
% 19.75/19.91 cnf(d3_tarski-3, axiom, ( subset(_u21, _u19) | ~in(skolem3(_u21, _u19), _u19) )).
% 19.75/19.91
% 19.75/19.91 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 19.75/19.91 cnf(dt_k1_tarski, axiom, $true).
% 19.75/19.91
% 19.75/19.91 % Formula: l2_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 19.75/19.91 cnf(l2_zfmisc_1-1, negated_conjecture, ( ~_def0 | ~_def1 )).
% 19.75/19.91 cnf(l2_zfmisc_1-2, negated_conjecture, ( _def0 | subset(singleton(skolem4), skolem5) )).
% 19.75/19.91 cnf(l2_zfmisc_1-3, negated_conjecture, ( _def0 | ~in(skolem4, skolem5) )).
% 19.75/19.91 cnf(l2_zfmisc_1-4, negated_conjecture, ( _def1 | in(skolem4, skolem5) )).
% 19.75/19.91 cnf(l2_zfmisc_1-5, negated_conjecture, ( _def1 | ~subset(singleton(skolem4), skolem5) )).
% 19.75/19.91
% 19.75/19.91 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 19.75/19.91 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u25, _u25) )).
% 19.75/19.91
% 19.75/19.91 % Problem matrix:
% 19.75/19.91 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 19.75/19.91 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 19.75/19.91 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 19.75/19.91 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 19.75/19.91 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 19.75/19.91 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 19.75/19.91 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 19.75/19.91 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 19.75/19.91 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 19.75/19.91 cnf(matrix-9, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 19.75/19.91 cnf(matrix-10, plain, ( ( _u10 != singleton(_u12)) | ~in(_u6, _u10) | ( _u6 = _u12) )).
% 19.75/19.91 cnf(matrix-11, plain, ( ( _u10 != singleton(_u12)) | ( _u7 != _u12) | in(_u7, _u10) )).
% 19.75/19.91 cnf(matrix-12, plain, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ( skolem2(_u13, _u11) = _u13) )).
% 19.75/19.91 cnf(matrix-13, plain, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 19.75/19.91 cnf(matrix-14, plain, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ( skolem2(_u13, _u11) = _u13) )).
% 19.75/19.91 cnf(matrix-15, plain, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 19.75/19.91 cnf(matrix-16, plain, ( ~subset(_u20, _u18) | ~in(_u14, _u20) | in(_u14, _u18) )).
% 19.75/19.91 cnf(matrix-17, plain, ( subset(_u21, _u19) | in(skolem3(_u21, _u19), _u21) )).
% 19.75/19.91 cnf(matrix-18, plain, ( subset(_u21, _u19) | ~in(skolem3(_u21, _u19), _u19) )).
% 19.75/19.91 cnf(matrix-19, plain, ( ~_def0 | ~_def1 )).
% 19.75/19.91 cnf(matrix-20, plain, ( _def0 | subset(singleton(skolem4), skolem5) )).
% 19.75/19.91 cnf(matrix-21, plain, ( _def0 | ~in(skolem4, skolem5) )).
% 19.75/19.91 cnf(matrix-22, plain, ( _def1 | in(skolem4, skolem5) )).
% 19.75/19.91 cnf(matrix-23, plain, ( _def1 | ~subset(singleton(skolem4), skolem5) )).
% 19.75/19.91 cnf(matrix-24, plain, ( subset(_u25, _u25) )).
% 19.75/19.91
% 19.75/19.91 % Proof stack:
% 19.75/19.91 cnf(proof-stack, plain,
% 19.75/19.91 proof_stack(
% 19.75/19.91 start(22),
% 19.75/19.91 left_branch(0, 19, 1, 2),
% 19.75/19.91 left_branch(0, 20, 0, 3),
% 19.75/19.91 left_branch(0, 16, 0, 4),
% 19.75/19.91 left_branch(0, 21, 1, 5),
% 19.75/19.91 reduction(0, 1),
% 19.75/19.91 right_branch(5),
% 19.75/19.91 left_branch(0, 11, 2, 6),
% 19.75/19.91 left_branch(0, 3, 1, 7),
% 19.75/19.91 left_branch(0, 0, 0, 8),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(7),
% 19.75/19.91 left_branch(0, 0, 0, 8),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(6),
% 19.75/19.91 right_branch(4),
% 19.75/19.91 right_branch(3),
% 19.75/19.91 right_branch(2),
% 19.75/19.91 left_branch(0, 7, 2, 3),
% 19.75/19.91 left_branch(0, 1, 1, 4),
% 19.75/19.91 left_branch(0, 10, 2, 5),
% 19.75/19.91 left_branch(0, 3, 1, 6),
% 19.75/19.91 left_branch(0, 1, 1, 7),
% 19.75/19.91 left_branch(0, 0, 0, 8),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(7),
% 19.75/19.91 right_branch(6),
% 19.75/19.91 left_branch(0, 17, 1, 7),
% 19.75/19.91 left_branch(0, 23, 1, 8),
% 19.75/19.91 lemmata(0, 0),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(7),
% 19.75/19.91 right_branch(5),
% 19.75/19.91 right_branch(4),
% 19.75/19.91 left_branch(0, 18, 1, 5),
% 19.75/19.91 left_branch(0, 23, 1, 6),
% 19.75/19.91 lemmata(0, 0),
% 19.75/19.91 right_branch(6),
% 19.75/19.91 right_branch(5),
% 19.75/19.91 left_branch(0, 10, 2, 6),
% 19.75/19.91 left_branch(0, 3, 1, 7),
% 19.75/19.91 left_branch(0, 1, 1, 8),
% 19.75/19.91 left_branch(0, 0, 0, 9),
% 19.75/19.91 right_branch(9),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(7),
% 19.75/19.91 left_branch(0, 7, 3, 8),
% 19.75/19.91 left_branch(0, 1, 1, 9),
% 19.75/19.91 left_branch(0, 0, 0, 10),
% 19.75/19.91 right_branch(10),
% 19.75/19.91 right_branch(9),
% 19.75/19.91 left_branch(0, 11, 2, 10),
% 19.75/19.91 left_branch(0, 3, 1, 11),
% 19.75/19.91 left_branch(0, 0, 0, 12),
% 19.75/19.91 right_branch(12),
% 19.75/19.91 right_branch(11),
% 19.75/19.91 left_branch(0, 1, 1, 12),
% 19.75/19.91 left_branch(0, 0, 0, 13),
% 19.75/19.91 right_branch(13),
% 19.75/19.91 right_branch(12),
% 19.75/19.91 right_branch(10),
% 19.75/19.91 lemmata(0, 3),
% 19.75/19.91 right_branch(8),
% 19.75/19.91 right_branch(6),
% 19.75/19.91 right_branch(3)
% 19.75/19.91 )).
% 19.75/19.91 % SZS output end Proof for theBenchmark
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