TSTP Solution File: SYN349+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN349+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 : n005.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 14:42:33 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 22:48:00 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start Proof for theBenchmark
% 0.13/0.35
% 0.13/0.35 % Formula: church_46_17_5 ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.35 cnf(church_46_17_5-1, negated_conjecture, ( ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem1(_u3), skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-2, negated_conjecture, ( ~big_f(skolem1(_u3), skolem2(_u3, _u1)) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-3, negated_conjecture, ( ~_def3(_u1, _u3) | ~_def8(_u1, _u3) )).
% 0.13/0.35 cnf(church_46_17_5-4, negated_conjecture, ( _def3(_u1, _u3) | ~_def0(_u1, _u3) | ~_def1(_u1, _u3) | big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-5, negated_conjecture, ( _def3(_u1, _u3) | ~big_f(_u1, skolem2(_u3, _u1)) | ~_def2(_u1, _u3) )).
% 0.13/0.35 cnf(church_46_17_5-6, negated_conjecture, ( _def3(_u1, _u3) | ~big_f(skolem2(_u3, _u1), skolem1(_u3)) )).
% 0.13/0.35 cnf(church_46_17_5-7, negated_conjecture, ( _def0(_u1, _u3) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-8, negated_conjecture, ( _def0(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-9, negated_conjecture, ( _def1(_u1, _u3) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-10, negated_conjecture, ( _def1(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-11, negated_conjecture, ( _def2(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-12, negated_conjecture, ( _def2(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-13, negated_conjecture, ( _def8(_u1, _u3) | big_f(skolem2(_u3, _u1), skolem1(_u3)) )).
% 0.13/0.35 cnf(church_46_17_5-14, negated_conjecture, ( _def8(_u1, _u3) | ~_def4(_u1, _u3) | ~_def7(_u1, _u3) )).
% 0.13/0.35 cnf(church_46_17_5-15, negated_conjecture, ( _def4(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-16, negated_conjecture, ( _def4(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-17, negated_conjecture, ( _def4(_u1, _u3) | ~big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-18, negated_conjecture, ( _def7(_u1, _u3) | big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-19, negated_conjecture, ( _def7(_u1, _u3) | ~_def5(_u1, _u3) | ~_def6(_u1, _u3) )).
% 0.13/0.35 cnf(church_46_17_5-20, negated_conjecture, ( _def5(_u1, _u3) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(church_46_17_5-21, negated_conjecture, ( _def5(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-22, negated_conjecture, ( _def6(_u1, _u3) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(church_46_17_5-23, negated_conjecture, ( _def6(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35
% 0.13/0.35 % Problem matrix:
% 0.13/0.35 cnf(matrix-0, plain, ( ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem1(_u3), skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-1, plain, ( ~big_f(skolem1(_u3), skolem2(_u3, _u1)) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-2, plain, ( ~_def3(_u1, _u3) | ~_def8(_u1, _u3) )).
% 0.13/0.35 cnf(matrix-3, plain, ( _def3(_u1, _u3) | ~_def0(_u1, _u3) | ~_def1(_u1, _u3) | big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-4, plain, ( _def3(_u1, _u3) | ~big_f(_u1, skolem2(_u3, _u1)) | ~_def2(_u1, _u3) )).
% 0.13/0.35 cnf(matrix-5, plain, ( _def3(_u1, _u3) | ~big_f(skolem2(_u3, _u1), skolem1(_u3)) )).
% 0.13/0.35 cnf(matrix-6, plain, ( _def0(_u1, _u3) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-7, plain, ( _def0(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-8, plain, ( _def1(_u1, _u3) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-9, plain, ( _def1(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-10, plain, ( _def2(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-11, plain, ( _def2(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-12, plain, ( _def8(_u1, _u3) | big_f(skolem2(_u3, _u1), skolem1(_u3)) )).
% 0.13/0.35 cnf(matrix-13, plain, ( _def8(_u1, _u3) | ~_def4(_u1, _u3) | ~_def7(_u1, _u3) )).
% 0.13/0.35 cnf(matrix-14, plain, ( _def4(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-15, plain, ( _def4(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-16, plain, ( _def4(_u1, _u3) | ~big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-17, plain, ( _def7(_u1, _u3) | big_f(_u1, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-18, plain, ( _def7(_u1, _u3) | ~_def5(_u1, _u3) | ~_def6(_u1, _u3) )).
% 0.13/0.35 cnf(matrix-19, plain, ( _def5(_u1, _u3) | big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35 cnf(matrix-20, plain, ( _def5(_u1, _u3) | ~big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-21, plain, ( _def6(_u1, _u3) | big_f(skolem2(_u3, _u1), _u1) )).
% 0.13/0.35 cnf(matrix-22, plain, ( _def6(_u1, _u3) | ~big_f(_u3, skolem2(_u3, _u1)) )).
% 0.13/0.35
% 0.13/0.35 % Proof stack:
% 0.13/0.35 cnf(proof-stack, plain,
% 0.13/0.35 proof_stack(
% 0.13/0.35 start(2),
% 0.13/0.35 left_branch(0, 4, 0, 2),
% 0.13/0.35 left_branch(0, 11, 0, 3),
% 0.13/0.35 left_branch(0, 10, 1, 4),
% 0.13/0.35 reduction(0, 1),
% 0.13/0.35 left_branch(0, 5, 1, 6),
% 0.13/0.35 reduction(0, 0),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 right_branch(4),
% 0.13/0.35 left_branch(0, 8, 1, 5),
% 0.13/0.35 left_branch(0, 3, 2, 6),
% 0.13/0.35 reduction(0, 0),
% 0.13/0.35 left_branch(0, 1, 0, 8),
% 0.13/0.35 lemmata(0, 0),
% 0.13/0.35 right_branch(8),
% 0.13/0.35 left_branch(0, 6, 0, 9),
% 0.13/0.35 lemmata(0, 0),
% 0.13/0.35 right_branch(9),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 right_branch(5),
% 0.13/0.35 right_branch(3),
% 0.13/0.35 left_branch(0, 3, 3, 4),
% 0.13/0.35 reduction(0, 0),
% 0.13/0.35 left_branch(0, 8, 0, 6),
% 0.13/0.35 left_branch(0, 5, 1, 7),
% 0.13/0.35 lemmata(0, 1),
% 0.13/0.35 right_branch(7),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 left_branch(0, 6, 0, 7),
% 0.13/0.35 left_branch(0, 0, 0, 8),
% 0.13/0.35 reduction(0, 1),
% 0.13/0.35 right_branch(8),
% 0.13/0.35 right_branch(7),
% 0.13/0.35 right_branch(4),
% 0.13/0.35 right_branch(2),
% 0.13/0.35 left_branch(0, 13, 0, 3),
% 0.13/0.35 left_branch(0, 18, 0, 4),
% 0.13/0.35 left_branch(0, 22, 0, 5),
% 0.13/0.35 left_branch(0, 1, 1, 6),
% 0.13/0.35 left_branch(0, 17, 1, 7),
% 0.13/0.35 reduction(0, 1),
% 0.13/0.35 right_branch(7),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 right_branch(5),
% 0.13/0.35 left_branch(0, 20, 0, 6),
% 0.13/0.35 left_branch(0, 12, 1, 7),
% 0.13/0.35 reduction(0, 0),
% 0.13/0.35 right_branch(7),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 right_branch(4),
% 0.13/0.35 left_branch(0, 16, 0, 5),
% 0.13/0.35 left_branch(0, 0, 1, 6),
% 0.13/0.35 left_branch(0, 15, 2, 7),
% 0.13/0.35 reduction(0, 1),
% 0.13/0.35 left_branch(0, 12, 1, 9),
% 0.13/0.35 reduction(0, 0),
% 0.13/0.35 right_branch(9),
% 0.13/0.35 right_branch(7),
% 0.13/0.35 right_branch(6),
% 0.13/0.35 right_branch(5),
% 0.13/0.35 right_branch(3)
% 0.13/0.35 )).
% 0.13/0.35 % SZS output end Proof for theBenchmark
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