TSTP Solution File: SET924+1 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 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 14:32:50 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n023.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 22:11:11 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start Proof for theBenchmark
% 0.18/0.36
% 0.18/0.36 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.18/0.36 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.36
% 0.18/0.36 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.36 cnf(rc1_xboole_0-1, axiom, ( empty(skolem1) )).
% 0.18/0.36
% 0.18/0.36 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.36 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem2) )).
% 0.18/0.36
% 0.18/0.36 % Formula: t67_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.36 cnf(t67_zfmisc_1-1, negated_conjecture, ( ~_def0 | ~_def1 )).
% 0.18/0.36 cnf(t67_zfmisc_1-2, negated_conjecture, ( _def0 | ( set_difference(singleton(skolem3), skolem4) = singleton(skolem3)) )).
% 0.18/0.36 cnf(t67_zfmisc_1-3, negated_conjecture, ( _def0 | in(skolem3, skolem4) )).
% 0.18/0.36 cnf(t67_zfmisc_1-4, negated_conjecture, ( _def1 | ~in(skolem3, skolem4) )).
% 0.18/0.36 cnf(t67_zfmisc_1-5, negated_conjecture, ( _def1 | ( set_difference(singleton(skolem3), skolem4) != singleton(skolem3)) )).
% 0.18/0.36
% 0.18/0.36 % Formula: l34_zfmisc_1 ( axiom ) converted to clauses:
% 0.18/0.36 cnf(l34_zfmisc_1-1, axiom, ( ( set_difference(singleton(_u10), _u8) != singleton(_u10)) | ~in(_u10, _u8) )).
% 0.18/0.36 cnf(l34_zfmisc_1-2, axiom, ( in(_u11, _u9) | ( set_difference(singleton(_u11), _u9) = singleton(_u11)) )).
% 0.18/0.36
% 0.18/0.36 % Problem matrix:
% 0.18/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.18/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 0.18/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.18/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.18/0.36 cnf(matrix-7, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.36 cnf(matrix-8, plain, ( empty(skolem1) )).
% 0.18/0.36 cnf(matrix-9, plain, ( ~empty(skolem2) )).
% 0.18/0.36 cnf(matrix-10, plain, ( ~_def0 | ~_def1 )).
% 0.18/0.36 cnf(matrix-11, plain, ( _def0 | ( set_difference(singleton(skolem3), skolem4) = singleton(skolem3)) )).
% 0.18/0.36 cnf(matrix-12, plain, ( _def0 | in(skolem3, skolem4) )).
% 0.18/0.36 cnf(matrix-13, plain, ( _def1 | ~in(skolem3, skolem4) )).
% 0.18/0.36 cnf(matrix-14, plain, ( _def1 | ( set_difference(singleton(skolem3), skolem4) != singleton(skolem3)) )).
% 0.18/0.36 cnf(matrix-15, plain, ( ( set_difference(singleton(_u10), _u8) != singleton(_u10)) | ~in(_u10, _u8) )).
% 0.18/0.36 cnf(matrix-16, plain, ( in(_u11, _u9) | ( set_difference(singleton(_u11), _u9) = singleton(_u11)) )).
% 0.18/0.36
% 0.18/0.36 % Proof stack:
% 0.18/0.36 cnf(proof-stack, plain,
% 0.18/0.36 proof_stack(
% 0.18/0.36 start(10),
% 0.18/0.36 left_branch(0, 12, 0, 2),
% 0.18/0.36 left_branch(0, 15, 1, 3),
% 0.18/0.36 left_branch(0, 11, 1, 4),
% 0.18/0.36 reduction(0, 0),
% 0.18/0.36 right_branch(4),
% 0.18/0.36 right_branch(3),
% 0.18/0.36 right_branch(2),
% 0.18/0.36 left_branch(0, 14, 0, 3),
% 0.18/0.36 left_branch(0, 16, 1, 4),
% 0.18/0.36 left_branch(0, 13, 1, 5),
% 0.18/0.36 reduction(0, 0),
% 0.18/0.36 right_branch(5),
% 0.18/0.36 right_branch(4),
% 0.18/0.36 right_branch(3)
% 0.18/0.36 )).
% 0.18/0.36 % SZS output end Proof for theBenchmark
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