TSTP Solution File: SET047+1 by ConnectPP---0.2.2
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- Process Solution
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% File : ConnectPP---0.2.2
% Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n003.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 09:18:34 EST 2024
% Result : Theorem 12.56s 12.74s
% Output : Proof 12.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Mar 3 19:41:38 EST 2024
% 0.14/0.34 % CPUTime :
% 12.56/12.74 % SZS status Theorem for theBenchmark
% 12.56/12.74 % SZS output start Proof for theBenchmark
% 12.56/12.74
% 12.56/12.74 % Formula: pel43_1 ( axiom ) converted to clauses:
% 12.56/12.74 cnf(pel43_1-1, axiom, ( ~set_equal(_u10, _u8) | ~element(_u4, _u10) | element(_u4, _u8) )).
% 12.56/12.74 cnf(pel43_1-2, axiom, ( ~set_equal(_u10, _u8) | ~element(_u5, _u8) | element(_u5, _u10) )).
% 12.56/12.74 cnf(pel43_1-3, axiom, ( set_equal(_u11, _u9) | element(skolem1(_u11, _u9), _u11) | element(skolem2(_u11, _u9), _u9) )).
% 12.56/12.74 cnf(pel43_1-4, axiom, ( set_equal(_u11, _u9) | element(skolem1(_u11, _u9), _u11) | ~element(skolem2(_u11, _u9), _u11) )).
% 12.56/12.74 cnf(pel43_1-5, axiom, ( set_equal(_u11, _u9) | ~element(skolem1(_u11, _u9), _u9) | element(skolem2(_u11, _u9), _u9) )).
% 12.56/12.74 cnf(pel43_1-6, axiom, ( set_equal(_u11, _u9) | ~element(skolem1(_u11, _u9), _u9) | ~element(skolem2(_u11, _u9), _u11) )).
% 12.56/12.74
% 12.56/12.74 % Formula: pel43 ( conjecture ) converted to clauses:
% 12.56/12.74 cnf(pel43-1, negated_conjecture, ( set_equal(skolem3, skolem4) | set_equal(skolem6, skolem5) )).
% 12.56/12.74 cnf(pel43-2, negated_conjecture, ( set_equal(skolem3, skolem4) | ~set_equal(skolem5, skolem6) )).
% 12.56/12.74 cnf(pel43-3, negated_conjecture, ( ~set_equal(skolem4, skolem3) | set_equal(skolem6, skolem5) )).
% 12.56/12.74 cnf(pel43-4, negated_conjecture, ( ~set_equal(skolem4, skolem3) | ~set_equal(skolem5, skolem6) )).
% 12.56/12.74
% 12.56/12.74 % Problem matrix:
% 12.56/12.74 cnf(matrix-0, plain, ( ~set_equal(_u10, _u8) | ~element(_u4, _u10) | element(_u4, _u8) )).
% 12.56/12.74 cnf(matrix-1, plain, ( ~set_equal(_u10, _u8) | ~element(_u5, _u8) | element(_u5, _u10) )).
% 12.56/12.74 cnf(matrix-2, plain, ( set_equal(_u11, _u9) | element(skolem1(_u11, _u9), _u11) | element(skolem2(_u11, _u9), _u9) )).
% 12.56/12.74 cnf(matrix-3, plain, ( set_equal(_u11, _u9) | element(skolem1(_u11, _u9), _u11) | ~element(skolem2(_u11, _u9), _u11) )).
% 12.56/12.74 cnf(matrix-4, plain, ( set_equal(_u11, _u9) | ~element(skolem1(_u11, _u9), _u9) | element(skolem2(_u11, _u9), _u9) )).
% 12.56/12.74 cnf(matrix-5, plain, ( set_equal(_u11, _u9) | ~element(skolem1(_u11, _u9), _u9) | ~element(skolem2(_u11, _u9), _u11) )).
% 12.56/12.74 cnf(matrix-6, plain, ( set_equal(skolem3, skolem4) | set_equal(skolem6, skolem5) )).
% 12.56/12.74 cnf(matrix-7, plain, ( set_equal(skolem3, skolem4) | ~set_equal(skolem5, skolem6) )).
% 12.56/12.74 cnf(matrix-8, plain, ( ~set_equal(skolem4, skolem3) | set_equal(skolem6, skolem5) )).
% 12.56/12.74 cnf(matrix-9, plain, ( ~set_equal(skolem4, skolem3) | ~set_equal(skolem5, skolem6) )).
% 12.56/12.74
% 12.56/12.74 % Proof stack:
% 12.56/12.74 cnf(proof-stack, plain,
% 12.56/12.74 proof_stack(
% 12.56/12.74 start(6),
% 12.56/12.74 left_branch(0, 1, 0, 2),
% 12.56/12.74 left_branch(0, 5, 1, 3),
% 12.56/12.74 left_branch(0, 8, 0, 4),
% 12.56/12.74 left_branch(0, 1, 0, 5),
% 12.56/12.74 left_branch(0, 5, 1, 6),
% 12.56/12.74 left_branch(0, 9, 1, 7),
% 12.56/12.74 reduction(0, 2),
% 12.56/12.74 right_branch(7),
% 12.56/12.74 left_branch(0, 0, 2, 8),
% 12.56/12.74 reduction(0, 3),
% 12.56/12.74 left_branch(0, 4, 2, 10),
% 12.56/12.74 lemmata(0, 0),
% 12.56/12.74 reduction(0, 4),
% 12.56/12.74 right_branch(10),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 right_branch(6),
% 12.56/12.74 left_branch(0, 3, 1, 7),
% 12.56/12.74 left_branch(0, 9, 1, 8),
% 12.56/12.74 reduction(0, 2),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 left_branch(0, 0, 2, 9),
% 12.56/12.74 reduction(0, 3),
% 12.56/12.74 left_branch(0, 2, 2, 11),
% 12.56/12.74 lemmata(0, 1),
% 12.56/12.74 reduction(0, 4),
% 12.56/12.74 right_branch(11),
% 12.56/12.74 right_branch(9),
% 12.56/12.74 right_branch(7),
% 12.56/12.74 right_branch(5),
% 12.56/12.74 right_branch(4),
% 12.56/12.74 left_branch(0, 0, 2, 5),
% 12.56/12.74 reduction(0, 0),
% 12.56/12.74 left_branch(0, 4, 2, 7),
% 12.56/12.74 lemmata(0, 0),
% 12.56/12.74 reduction(0, 1),
% 12.56/12.74 right_branch(7),
% 12.56/12.74 right_branch(5),
% 12.56/12.74 right_branch(3),
% 12.56/12.74 left_branch(0, 3, 1, 4),
% 12.56/12.74 left_branch(0, 8, 0, 5),
% 12.56/12.74 left_branch(0, 1, 0, 6),
% 12.56/12.74 left_branch(0, 5, 1, 7),
% 12.56/12.74 left_branch(0, 9, 1, 8),
% 12.56/12.74 reduction(0, 2),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 left_branch(0, 0, 2, 9),
% 12.56/12.74 reduction(0, 3),
% 12.56/12.74 left_branch(0, 4, 2, 11),
% 12.56/12.74 lemmata(0, 1),
% 12.56/12.74 reduction(0, 4),
% 12.56/12.74 right_branch(11),
% 12.56/12.74 right_branch(9),
% 12.56/12.74 right_branch(7),
% 12.56/12.74 left_branch(0, 3, 1, 8),
% 12.56/12.74 left_branch(0, 9, 1, 9),
% 12.56/12.74 reduction(0, 2),
% 12.56/12.74 right_branch(9),
% 12.56/12.74 left_branch(0, 0, 2, 10),
% 12.56/12.74 reduction(0, 3),
% 12.56/12.74 left_branch(0, 2, 2, 12),
% 12.56/12.74 lemmata(0, 2),
% 12.56/12.74 reduction(0, 4),
% 12.56/12.74 right_branch(12),
% 12.56/12.74 right_branch(10),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 right_branch(6),
% 12.56/12.74 right_branch(5),
% 12.56/12.74 left_branch(0, 0, 2, 6),
% 12.56/12.74 reduction(0, 0),
% 12.56/12.74 left_branch(0, 2, 2, 8),
% 12.56/12.74 lemmata(0, 1),
% 12.56/12.74 reduction(0, 1),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 right_branch(6),
% 12.56/12.74 right_branch(4),
% 12.56/12.74 right_branch(2),
% 12.56/12.74 left_branch(0, 1, 0, 3),
% 12.56/12.74 left_branch(0, 5, 1, 4),
% 12.56/12.74 left_branch(0, 7, 1, 5),
% 12.56/12.74 lemmata(0, 0),
% 12.56/12.74 right_branch(5),
% 12.56/12.74 left_branch(0, 0, 2, 6),
% 12.56/12.74 reduction(0, 0),
% 12.56/12.74 left_branch(0, 4, 2, 8),
% 12.56/12.74 lemmata(0, 1),
% 12.56/12.74 reduction(0, 1),
% 12.56/12.74 right_branch(8),
% 12.56/12.74 right_branch(6),
% 12.56/12.74 right_branch(4),
% 12.56/12.74 left_branch(0, 3, 1, 5),
% 12.56/12.74 left_branch(0, 7, 1, 6),
% 12.56/12.74 lemmata(0, 0),
% 12.56/12.74 right_branch(6),
% 12.56/12.74 left_branch(0, 0, 2, 7),
% 12.56/12.74 reduction(0, 0),
% 12.56/12.74 left_branch(0, 2, 2, 9),
% 12.56/12.74 lemmata(0, 2),
% 12.56/12.74 reduction(0, 1),
% 12.56/12.74 right_branch(9),
% 12.56/12.74 right_branch(7),
% 12.56/12.74 right_branch(5),
% 12.56/12.74 right_branch(3)
% 12.56/12.74 )).
% 12.56/12.74 % SZS output end Proof for theBenchmark
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