TSTP Solution File: SET788+1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed Mar 6 09:19:42 EST 2024
% Result : Theorem 13.30s 13.45s
% Output : Proof 13.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.12 % 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 : Sun Mar 3 19:54:40 EST 2024
% 0.12/0.33 % CPUTime :
% 13.30/13.45 % SZS status Theorem for theBenchmark
% 13.30/13.45 % SZS output start Proof for theBenchmark
% 13.30/13.45
% 13.30/13.45 % Formula: prove_this ( conjecture ) converted to clauses:
% 13.30/13.45 cnf(prove_this-1, negated_conjecture, ( ~equalish(_u12, _u10) | ~a_member_of(_u6, _u12) | a_member_of(_u6, _u10) )).
% 13.30/13.45 cnf(prove_this-2, negated_conjecture, ( ~equalish(_u12, _u10) | ~a_member_of(_u7, _u10) | a_member_of(_u7, _u12) )).
% 13.30/13.45 cnf(prove_this-3, negated_conjecture, ( equalish(_u13, _u11) | a_member_of(skolem1(_u13, _u11), _u13) | a_member_of(skolem2(_u13, _u11), _u11) )).
% 13.30/13.45 cnf(prove_this-4, negated_conjecture, ( equalish(_u13, _u11) | a_member_of(skolem1(_u13, _u11), _u13) | ~a_member_of(skolem2(_u13, _u11), _u13) )).
% 13.30/13.45 cnf(prove_this-5, negated_conjecture, ( equalish(_u13, _u11) | ~a_member_of(skolem1(_u13, _u11), _u11) | a_member_of(skolem2(_u13, _u11), _u11) )).
% 13.30/13.45 cnf(prove_this-6, negated_conjecture, ( equalish(_u13, _u11) | ~a_member_of(skolem1(_u13, _u11), _u11) | ~a_member_of(skolem2(_u13, _u11), _u13) )).
% 13.30/13.45 cnf(prove_this-7, negated_conjecture, ( equalish(skolem3, skolem4) | equalish(skolem6, skolem5) )).
% 13.30/13.45 cnf(prove_this-8, negated_conjecture, ( equalish(skolem3, skolem4) | ~equalish(skolem5, skolem6) )).
% 13.30/13.45 cnf(prove_this-9, negated_conjecture, ( ~equalish(skolem4, skolem3) | equalish(skolem6, skolem5) )).
% 13.30/13.45 cnf(prove_this-10, negated_conjecture, ( ~equalish(skolem4, skolem3) | ~equalish(skolem5, skolem6) )).
% 13.30/13.45
% 13.30/13.45 % Problem matrix:
% 13.30/13.45 cnf(matrix-0, plain, ( ~equalish(_u12, _u10) | ~a_member_of(_u6, _u12) | a_member_of(_u6, _u10) )).
% 13.30/13.45 cnf(matrix-1, plain, ( ~equalish(_u12, _u10) | ~a_member_of(_u7, _u10) | a_member_of(_u7, _u12) )).
% 13.30/13.45 cnf(matrix-2, plain, ( equalish(_u13, _u11) | a_member_of(skolem1(_u13, _u11), _u13) | a_member_of(skolem2(_u13, _u11), _u11) )).
% 13.30/13.45 cnf(matrix-3, plain, ( equalish(_u13, _u11) | a_member_of(skolem1(_u13, _u11), _u13) | ~a_member_of(skolem2(_u13, _u11), _u13) )).
% 13.30/13.45 cnf(matrix-4, plain, ( equalish(_u13, _u11) | ~a_member_of(skolem1(_u13, _u11), _u11) | a_member_of(skolem2(_u13, _u11), _u11) )).
% 13.30/13.45 cnf(matrix-5, plain, ( equalish(_u13, _u11) | ~a_member_of(skolem1(_u13, _u11), _u11) | ~a_member_of(skolem2(_u13, _u11), _u13) )).
% 13.30/13.45 cnf(matrix-6, plain, ( equalish(skolem3, skolem4) | equalish(skolem6, skolem5) )).
% 13.30/13.45 cnf(matrix-7, plain, ( equalish(skolem3, skolem4) | ~equalish(skolem5, skolem6) )).
% 13.30/13.45 cnf(matrix-8, plain, ( ~equalish(skolem4, skolem3) | equalish(skolem6, skolem5) )).
% 13.30/13.45 cnf(matrix-9, plain, ( ~equalish(skolem4, skolem3) | ~equalish(skolem5, skolem6) )).
% 13.30/13.45
% 13.30/13.45 % Proof stack:
% 13.30/13.45 cnf(proof-stack, plain,
% 13.30/13.45 proof_stack(
% 13.30/13.45 start(0),
% 13.30/13.45 left_branch(0, 8, 1, 2),
% 13.30/13.45 left_branch(0, 5, 0, 3),
% 13.30/13.45 left_branch(0, 0, 2, 4),
% 13.30/13.45 left_branch(0, 6, 0, 5),
% 13.30/13.45 reduction(0, 0),
% 13.30/13.45 right_branch(5),
% 13.30/13.45 left_branch(0, 4, 2, 6),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 left_branch(0, 1, 2, 8),
% 13.30/13.45 left_branch(0, 6, 0, 9),
% 13.30/13.45 reduction(0, 0),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 left_branch(0, 2, 1, 10),
% 13.30/13.45 lemmata(0, 1),
% 13.30/13.45 reduction(0, 3),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 right_branch(4),
% 13.30/13.45 left_branch(0, 1, 2, 5),
% 13.30/13.45 left_branch(0, 6, 0, 6),
% 13.30/13.45 reduction(0, 0),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 left_branch(0, 3, 1, 7),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 lemmata(0, 0),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 right_branch(5),
% 13.30/13.45 right_branch(3),
% 13.30/13.45 right_branch(2),
% 13.30/13.45 left_branch(0, 5, 2, 3),
% 13.30/13.45 left_branch(0, 9, 1, 4),
% 13.30/13.45 left_branch(0, 5, 0, 5),
% 13.30/13.45 left_branch(0, 0, 2, 6),
% 13.30/13.45 left_branch(0, 7, 0, 7),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 left_branch(0, 4, 2, 8),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 left_branch(0, 1, 2, 10),
% 13.30/13.45 left_branch(0, 7, 0, 11),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(11),
% 13.30/13.45 left_branch(0, 2, 1, 12),
% 13.30/13.45 lemmata(0, 2),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(12),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 left_branch(0, 1, 2, 7),
% 13.30/13.45 left_branch(0, 7, 0, 8),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 left_branch(0, 3, 1, 9),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 lemmata(0, 1),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 right_branch(5),
% 13.30/13.45 right_branch(4),
% 13.30/13.45 left_branch(0, 1, 2, 5),
% 13.30/13.45 left_branch(0, 6, 1, 6),
% 13.30/13.45 left_branch(0, 1, 0, 7),
% 13.30/13.45 left_branch(0, 5, 1, 8),
% 13.30/13.45 left_branch(0, 8, 0, 9),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 left_branch(0, 0, 2, 10),
% 13.30/13.45 reduction(0, 3),
% 13.30/13.45 left_branch(0, 4, 2, 12),
% 13.30/13.45 lemmata(0, 2),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(12),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 left_branch(0, 3, 1, 9),
% 13.30/13.45 left_branch(0, 8, 0, 10),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 left_branch(0, 0, 2, 11),
% 13.30/13.45 reduction(0, 3),
% 13.30/13.45 left_branch(0, 2, 2, 13),
% 13.30/13.45 lemmata(0, 3),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(13),
% 13.30/13.45 right_branch(11),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 left_branch(0, 3, 1, 7),
% 13.30/13.45 lemmata(0, 1),
% 13.30/13.45 reduction(0, 0),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 right_branch(5),
% 13.30/13.45 right_branch(3),
% 13.30/13.45 left_branch(0, 4, 2, 4),
% 13.30/13.45 left_branch(0, 9, 1, 5),
% 13.30/13.45 left_branch(0, 5, 0, 6),
% 13.30/13.45 left_branch(0, 0, 2, 7),
% 13.30/13.45 left_branch(0, 7, 0, 8),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 left_branch(0, 4, 2, 9),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 left_branch(0, 1, 2, 11),
% 13.30/13.45 left_branch(0, 7, 0, 12),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(12),
% 13.30/13.45 left_branch(0, 2, 1, 13),
% 13.30/13.45 lemmata(0, 3),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(13),
% 13.30/13.45 right_branch(11),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 left_branch(0, 1, 2, 8),
% 13.30/13.45 left_branch(0, 7, 0, 9),
% 13.30/13.45 reduction(0, 1),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 left_branch(0, 3, 1, 10),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 lemmata(0, 2),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 right_branch(5),
% 13.30/13.45 left_branch(0, 1, 2, 6),
% 13.30/13.45 left_branch(0, 6, 1, 7),
% 13.30/13.45 left_branch(0, 1, 0, 8),
% 13.30/13.45 left_branch(0, 5, 1, 9),
% 13.30/13.45 left_branch(0, 8, 0, 10),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 left_branch(0, 0, 2, 11),
% 13.30/13.45 reduction(0, 3),
% 13.30/13.45 left_branch(0, 4, 2, 13),
% 13.30/13.45 lemmata(0, 3),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(13),
% 13.30/13.45 right_branch(11),
% 13.30/13.45 right_branch(9),
% 13.30/13.45 left_branch(0, 3, 1, 10),
% 13.30/13.45 left_branch(0, 8, 0, 11),
% 13.30/13.45 reduction(0, 2),
% 13.30/13.45 right_branch(11),
% 13.30/13.45 left_branch(0, 0, 2, 12),
% 13.30/13.45 reduction(0, 3),
% 13.30/13.45 left_branch(0, 2, 2, 14),
% 13.30/13.45 lemmata(0, 4),
% 13.30/13.45 reduction(0, 4),
% 13.30/13.45 right_branch(14),
% 13.30/13.45 right_branch(12),
% 13.30/13.45 right_branch(10),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 right_branch(7),
% 13.30/13.45 left_branch(0, 2, 1, 8),
% 13.30/13.45 lemmata(0, 2),
% 13.30/13.45 reduction(0, 0),
% 13.30/13.45 right_branch(8),
% 13.30/13.45 right_branch(6),
% 13.30/13.45 right_branch(4)
% 13.30/13.45 )).
% 13.30/13.45 % SZS output end Proof for theBenchmark
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