TSTP Solution File: SET788+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% 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 : n019.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 14:32:24 EDT 2024
% Result : Theorem 0.18s 0.49s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 22:23:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% 0.18/0.49
% 0.18/0.49 % Formula: prove_this ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.49 cnf(prove_this-1, negated_conjecture, ( ~equalish(_u3, _u2) | ~_def0(_u0, _u3, _u2) )).
% 0.18/0.49 cnf(prove_this-2, negated_conjecture, ( ~_def1(_u3, _u2) | ~_def2(_u3, _u2) | equalish(_u3, _u2) )).
% 0.18/0.49 cnf(prove_this-3, negated_conjecture, ( ~_def3 | ~_def4 )).
% 0.18/0.49 cnf(prove_this-4, negated_conjecture, ( _def0(_u0, _u3, _u2) | ~a_member_of(_u0, _u3) | a_member_of(_u0, _u2) )).
% 0.18/0.49 cnf(prove_this-5, negated_conjecture, ( _def0(_u0, _u3, _u2) | ~a_member_of(_u0, _u2) | a_member_of(_u0, _u3) )).
% 0.18/0.49 cnf(prove_this-6, negated_conjecture, ( _def1(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.18/0.49 cnf(prove_this-7, negated_conjecture, ( _def1(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.18/0.49 cnf(prove_this-8, negated_conjecture, ( _def2(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.18/0.49 cnf(prove_this-9, negated_conjecture, ( _def2(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.18/0.49 cnf(prove_this-10, negated_conjecture, ( _def3 | equalish(skolem2, skolem3) )).
% 0.18/0.49 cnf(prove_this-11, negated_conjecture, ( _def3 | ~equalish(skolem3, skolem2) )).
% 0.18/0.49 cnf(prove_this-12, negated_conjecture, ( _def4 | equalish(skolem3, skolem2) )).
% 0.18/0.49 cnf(prove_this-13, negated_conjecture, ( _def4 | ~equalish(skolem2, skolem3) )).
% 0.18/0.49
% 0.18/0.49 % Problem matrix:
% 0.18/0.49 cnf(matrix-0, plain, ( ~equalish(_u3, _u2) | ~_def0(_u0, _u3, _u2) )).
% 0.18/0.49 cnf(matrix-1, plain, ( ~_def1(_u3, _u2) | ~_def2(_u3, _u2) | equalish(_u3, _u2) )).
% 0.18/0.49 cnf(matrix-2, plain, ( ~_def3 | ~_def4 )).
% 0.18/0.49 cnf(matrix-3, plain, ( _def0(_u0, _u3, _u2) | ~a_member_of(_u0, _u3) | a_member_of(_u0, _u2) )).
% 0.18/0.49 cnf(matrix-4, plain, ( _def0(_u0, _u3, _u2) | ~a_member_of(_u0, _u2) | a_member_of(_u0, _u3) )).
% 0.18/0.49 cnf(matrix-5, plain, ( _def1(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.18/0.49 cnf(matrix-6, plain, ( _def1(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.18/0.49 cnf(matrix-7, plain, ( _def2(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.18/0.49 cnf(matrix-8, plain, ( _def2(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.18/0.49 cnf(matrix-9, plain, ( _def3 | equalish(skolem2, skolem3) )).
% 0.18/0.49 cnf(matrix-10, plain, ( _def3 | ~equalish(skolem3, skolem2) )).
% 0.18/0.49 cnf(matrix-11, plain, ( _def4 | equalish(skolem3, skolem2) )).
% 0.18/0.49 cnf(matrix-12, plain, ( _def4 | ~equalish(skolem2, skolem3) )).
% 0.18/0.49
% 0.18/0.49 % Proof stack:
% 0.18/0.49 cnf(proof-stack, plain,
% 0.18/0.49 proof_stack(
% 0.18/0.49 start(2),
% 0.18/0.49 left_branch(0, 10, 0, 2),
% 0.18/0.49 left_branch(0, 1, 2, 3),
% 0.18/0.49 left_branch(0, 6, 0, 4),
% 0.18/0.49 left_branch(0, 4, 2, 5),
% 0.18/0.49 left_branch(0, 0, 1, 6),
% 0.18/0.49 left_branch(0, 9, 1, 7),
% 0.18/0.49 reduction(0, 0),
% 0.18/0.49 right_branch(7),
% 0.18/0.49 right_branch(6),
% 0.18/0.49 left_branch(0, 5, 1, 7),
% 0.18/0.49 reduction(0, 2),
% 0.18/0.49 right_branch(7),
% 0.18/0.49 right_branch(5),
% 0.18/0.49 right_branch(4),
% 0.18/0.49 left_branch(0, 8, 0, 5),
% 0.18/0.49 left_branch(0, 3, 2, 6),
% 0.18/0.49 left_branch(0, 0, 1, 7),
% 0.18/0.49 left_branch(0, 9, 1, 8),
% 0.18/0.49 reduction(0, 0),
% 0.18/0.49 right_branch(8),
% 0.18/0.49 right_branch(7),
% 0.18/0.49 left_branch(0, 7, 1, 8),
% 0.18/0.49 reduction(0, 2),
% 0.18/0.49 right_branch(8),
% 0.18/0.49 right_branch(6),
% 0.18/0.49 right_branch(5),
% 0.18/0.49 right_branch(3),
% 0.18/0.49 right_branch(2),
% 0.18/0.49 left_branch(0, 12, 0, 3),
% 0.18/0.49 left_branch(0, 1, 2, 4),
% 0.18/0.49 left_branch(0, 6, 0, 5),
% 0.18/0.49 left_branch(0, 4, 2, 6),
% 0.18/0.49 left_branch(0, 0, 1, 7),
% 0.18/0.49 left_branch(0, 11, 1, 8),
% 0.18/0.49 reduction(0, 0),
% 0.18/0.49 right_branch(8),
% 0.18/0.49 right_branch(7),
% 0.18/0.49 left_branch(0, 5, 1, 8),
% 0.18/0.49 reduction(0, 2),
% 0.18/0.49 right_branch(8),
% 0.18/0.49 right_branch(6),
% 0.18/0.49 right_branch(5),
% 0.18/0.49 left_branch(0, 8, 0, 6),
% 0.18/0.49 left_branch(0, 3, 2, 7),
% 0.18/0.49 left_branch(0, 0, 1, 8),
% 0.18/0.49 left_branch(0, 11, 1, 9),
% 0.18/0.49 reduction(0, 0),
% 0.18/0.49 right_branch(9),
% 0.18/0.49 right_branch(8),
% 0.18/0.49 left_branch(0, 7, 1, 9),
% 0.18/0.49 reduction(0, 2),
% 0.18/0.49 right_branch(9),
% 0.18/0.49 right_branch(7),
% 0.18/0.49 right_branch(6),
% 0.18/0.49 right_branch(4),
% 0.18/0.49 right_branch(3)
% 0.18/0.49 )).
% 0.18/0.49 % SZS output end Proof for theBenchmark
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