TSTP Solution File: SEU159+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU159+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 : n010.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 14:33:22 EDT 2024
% Result : Theorem 172.55s 172.70s
% Output : Proof 172.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU159+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n010.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 : Wed Mar 20 13:56:03 EDT 2024
% 0.12/0.33 % CPUTime :
% 172.55/172.70 % SZS status Theorem for theBenchmark
% 172.55/172.70 % SZS output start Proof for theBenchmark
% 172.55/172.70
% 172.55/172.70 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 172.55/172.70 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 172.55/172.70
% 172.55/172.70 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 172.55/172.70 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 172.55/172.70
% 172.55/172.70 % Formula: d2_tarski ( axiom ) converted to clauses:
% 172.55/172.70 cnf(d2_tarski-1, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | ~in(_u9, _u13) | ( _u9 = _u17) | ( _u9 = _u15) )).
% 172.55/172.70 cnf(d2_tarski-2, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u17) )).
% 172.55/172.70 cnf(d2_tarski-3, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u15) )).
% 172.55/172.70 cnf(d2_tarski-4, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) )).
% 172.55/172.70 cnf(d2_tarski-5, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 172.55/172.70 cnf(d2_tarski-6, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 172.55/172.70 cnf(d2_tarski-7, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 172.55/172.70 cnf(d2_tarski-8, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 172.55/172.70 cnf(d2_tarski-9, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 172.55/172.70
% 172.55/172.70 % Formula: d3_tarski ( axiom ) converted to clauses:
% 172.55/172.70 cnf(d3_tarski-1, axiom, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 172.55/172.70 cnf(d3_tarski-2, axiom, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 172.55/172.70 cnf(d3_tarski-3, axiom, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 172.55/172.70
% 172.55/172.70 % Formula: dt_k2_tarski ( axiom ) converted to clauses:
% 172.55/172.70 cnf(dt_k2_tarski, axiom, $true).
% 172.55/172.70
% 172.55/172.70 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 172.55/172.70 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u28, _u28) )).
% 172.55/172.70
% 172.55/172.70 % Formula: t38_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 172.55/172.70 cnf(t38_zfmisc_1-1, negated_conjecture, ( ~_def0 | ~_def1 )).
% 172.55/172.70 cnf(t38_zfmisc_1-2, negated_conjecture, ( _def0 | subset(unordered_pair(skolem4, skolem5), skolem6) )).
% 172.55/172.70 cnf(t38_zfmisc_1-3, negated_conjecture, ( _def0 | ~in(skolem4, skolem6) | ~in(skolem5, skolem6) )).
% 172.55/172.70 cnf(t38_zfmisc_1-4, negated_conjecture, ( _def1 | in(skolem4, skolem6) )).
% 172.55/172.70 cnf(t38_zfmisc_1-5, negated_conjecture, ( _def1 | in(skolem5, skolem6) )).
% 172.55/172.70 cnf(t38_zfmisc_1-6, negated_conjecture, ( _def1 | ~subset(unordered_pair(skolem4, skolem5), skolem6) )).
% 172.55/172.70
% 172.55/172.70 % Problem matrix:
% 172.55/172.70 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 172.55/172.70 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 172.55/172.70 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 172.55/172.70 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 172.55/172.70 cnf(matrix-4, 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)) )).
% 172.55/172.70 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 172.55/172.70 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 172.55/172.70 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 172.55/172.70 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 172.55/172.70 cnf(matrix-9, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 172.55/172.70 cnf(matrix-10, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 172.55/172.70 cnf(matrix-11, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | ~in(_u9, _u13) | ( _u9 = _u17) | ( _u9 = _u15) )).
% 172.55/172.70 cnf(matrix-12, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u17) )).
% 172.55/172.70 cnf(matrix-13, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u15) )).
% 172.55/172.70 cnf(matrix-14, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) )).
% 172.55/172.70 cnf(matrix-15, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 172.55/172.70 cnf(matrix-16, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 172.55/172.70 cnf(matrix-17, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 172.55/172.70 cnf(matrix-18, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 172.55/172.70 cnf(matrix-19, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 172.55/172.70 cnf(matrix-20, plain, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 172.55/172.70 cnf(matrix-21, plain, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 172.55/172.70 cnf(matrix-22, plain, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 172.55/172.70 cnf(matrix-23, plain, ( subset(_u28, _u28) )).
% 172.55/172.70 cnf(matrix-24, plain, ( ~_def0 | ~_def1 )).
% 172.55/172.70 cnf(matrix-25, plain, ( _def0 | subset(unordered_pair(skolem4, skolem5), skolem6) )).
% 172.55/172.70 cnf(matrix-26, plain, ( _def0 | ~in(skolem4, skolem6) | ~in(skolem5, skolem6) )).
% 172.55/172.70 cnf(matrix-27, plain, ( _def1 | in(skolem4, skolem6) )).
% 172.55/172.70 cnf(matrix-28, plain, ( _def1 | in(skolem5, skolem6) )).
% 172.55/172.70 cnf(matrix-29, plain, ( _def1 | ~subset(unordered_pair(skolem4, skolem5), skolem6) )).
% 172.55/172.70
% 172.55/172.70 % Proof stack:
% 172.55/172.70 cnf(proof-stack, plain,
% 172.55/172.70 proof_stack(
% 172.55/172.70 start(29),
% 172.55/172.70 left_branch(0, 24, 1, 2),
% 172.55/172.70 left_branch(0, 26, 0, 3),
% 172.55/172.70 left_branch(0, 20, 2, 4),
% 172.55/172.70 left_branch(0, 25, 1, 5),
% 172.55/172.70 reduction(0, 1),
% 172.55/172.70 right_branch(5),
% 172.55/172.70 left_branch(0, 12, 1, 6),
% 172.55/172.70 left_branch(0, 10, 0, 7),
% 172.55/172.70 right_branch(7),
% 172.55/172.70 left_branch(0, 0, 0, 8),
% 172.55/172.70 right_branch(8),
% 172.55/172.70 right_branch(6),
% 172.55/172.70 right_branch(4),
% 172.55/172.70 left_branch(0, 20, 2, 5),
% 172.55/172.70 left_branch(0, 25, 1, 6),
% 172.55/172.70 reduction(0, 1),
% 172.55/172.70 right_branch(6),
% 172.55/172.70 left_branch(0, 13, 1, 7),
% 172.55/172.70 left_branch(0, 10, 0, 8),
% 172.55/172.70 right_branch(8),
% 172.55/172.70 left_branch(0, 0, 0, 9),
% 172.55/172.70 right_branch(9),
% 172.55/172.70 right_branch(7),
% 172.55/172.70 right_branch(5),
% 172.55/172.70 right_branch(3),
% 172.55/172.70 right_branch(2),
% 172.55/172.70 left_branch(0, 21, 0, 3),
% 172.55/172.70 left_branch(0, 11, 1, 4),
% 172.55/172.70 left_branch(0, 11, 3, 5),
% 172.55/172.70 left_branch(0, 10, 0, 6),
% 172.55/172.70 right_branch(6),
% 172.55/172.70 reduction(0, 2),
% 172.55/172.70 left_branch(0, 7, 3, 8),
% 172.55/172.70 left_branch(0, 10, 0, 9),
% 172.55/172.70 right_branch(9),
% 172.55/172.70 left_branch(0, 13, 1, 10),
% 172.55/172.70 left_branch(0, 10, 0, 11),
% 172.55/172.70 right_branch(11),
% 172.55/172.70 left_branch(0, 10, 0, 12),
% 172.55/172.70 right_branch(12),
% 172.55/172.70 right_branch(10),
% 172.55/172.70 left_branch(0, 10, 0, 11),
% 172.55/172.70 right_branch(11),
% 172.55/172.70 right_branch(8),
% 172.55/172.70 right_branch(5),
% 172.55/172.70 left_branch(0, 1, 0, 6),
% 172.55/172.70 left_branch(0, 7, 0, 7),
% 172.55/172.70 left_branch(0, 22, 1, 8),
% 172.55/172.70 reduction(0, 0),
% 172.55/172.70 right_branch(8),
% 172.55/172.70 left_branch(0, 27, 1, 9),
% 172.55/172.70 lemmata(0, 0),
% 172.55/172.70 right_branch(9),
% 172.55/172.70 left_branch(0, 0, 0, 10),
% 172.55/172.70 right_branch(10),
% 172.55/172.70 right_branch(7),
% 172.55/172.70 right_branch(6),
% 172.55/172.70 left_branch(0, 1, 0, 7),
% 172.55/172.70 left_branch(0, 7, 0, 8),
% 172.55/172.70 left_branch(0, 22, 1, 9),
% 172.55/172.70 reduction(0, 0),
% 172.55/172.70 right_branch(9),
% 172.55/172.70 left_branch(0, 28, 1, 10),
% 172.55/172.70 lemmata(0, 0),
% 172.55/172.70 right_branch(10),
% 172.55/172.70 left_branch(0, 0, 0, 11),
% 172.55/172.70 right_branch(11),
% 172.55/172.70 right_branch(8),
% 172.55/172.70 right_branch(7),
% 172.55/172.70 right_branch(4),
% 172.55/172.70 right_branch(3)
% 172.55/172.70 )).
% 172.55/172.70 % SZS output end Proof for theBenchmark
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