TSTP Solution File: SYN334+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN334+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 : 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 : Mon Mar 25 14:42:29 EDT 2024
% Result : Theorem 0.17s 0.44s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.31 % Computer : n010.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Wed Mar 20 22:39:18 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 % SZS status Theorem for theBenchmark
% 0.17/0.44 % SZS output start Proof for theBenchmark
% 0.17/0.44
% 0.17/0.44 % Formula: church_46_14_6 ( conjecture ) (definitionally) converted to clauses:
% 0.17/0.44 cnf(church_46_14_6-1, negated_conjecture, ( ~big_f(_u2, _u1) | ~_def0(_u1, _u2) )).
% 0.17/0.44 cnf(church_46_14_6-2, negated_conjecture, ( ~big_f(_u2, _u1) | ~big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) | big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-3, negated_conjecture, ( ~_def1(_u1, _u2) | big_f(_u2, _u1) )).
% 0.17/0.44 cnf(church_46_14_6-4, negated_conjecture, ( ~_def2(_u1, _u2) | ~_def3(_u1, _u2) )).
% 0.17/0.44 cnf(church_46_14_6-5, negated_conjecture, ( _def0(_u1, _u2) | ~big_f(_u2, skolem1(_u2, _u1)) | big_g(_u1, skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-6, negated_conjecture, ( _def0(_u1, _u2) | ~big_g(_u1, skolem1(_u2, _u1)) | big_f(_u2, skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-7, negated_conjecture, ( _def1(_u1, _u2) | big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-8, negated_conjecture, ( _def1(_u1, _u2) | ~big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-9, negated_conjecture, ( _def2(_u1, _u2) | big_g(_u2, _u1) )).
% 0.17/0.44 cnf(church_46_14_6-10, negated_conjecture, ( _def2(_u1, _u2) | ~big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-11, negated_conjecture, ( _def3(_u1, _u2) | big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(church_46_14_6-12, negated_conjecture, ( _def3(_u1, _u2) | ~big_g(_u2, _u1) )).
% 0.17/0.44
% 0.17/0.44 % Problem matrix:
% 0.17/0.44 cnf(matrix-0, plain, ( ~big_f(_u2, _u1) | ~_def0(_u1, _u2) )).
% 0.17/0.44 cnf(matrix-1, plain, ( ~big_f(_u2, _u1) | ~big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) | big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-2, plain, ( ~_def1(_u1, _u2) | big_f(_u2, _u1) )).
% 0.17/0.44 cnf(matrix-3, plain, ( ~_def2(_u1, _u2) | ~_def3(_u1, _u2) )).
% 0.17/0.44 cnf(matrix-4, plain, ( _def0(_u1, _u2) | ~big_f(_u2, skolem1(_u2, _u1)) | big_g(_u1, skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-5, plain, ( _def0(_u1, _u2) | ~big_g(_u1, skolem1(_u2, _u1)) | big_f(_u2, skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-6, plain, ( _def1(_u1, _u2) | big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-7, plain, ( _def1(_u1, _u2) | ~big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-8, plain, ( _def2(_u1, _u2) | big_g(_u2, _u1) )).
% 0.17/0.44 cnf(matrix-9, plain, ( _def2(_u1, _u2) | ~big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-10, plain, ( _def3(_u1, _u2) | big_g(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 0.17/0.44 cnf(matrix-11, plain, ( _def3(_u1, _u2) | ~big_g(_u2, _u1) )).
% 0.17/0.44
% 0.17/0.44 % Proof stack:
% 0.17/0.44 cnf(proof-stack, plain,
% 0.17/0.44 proof_stack(
% 0.17/0.44 start(0),
% 0.17/0.44 left_branch(0, 6, 1, 2),
% 0.17/0.44 left_branch(0, 2, 0, 3),
% 0.17/0.44 left_branch(0, 0, 0, 4),
% 0.17/0.44 left_branch(0, 5, 0, 5),
% 0.17/0.44 left_branch(0, 1, 0, 6),
% 0.17/0.44 left_branch(0, 9, 1, 7),
% 0.17/0.44 left_branch(0, 3, 0, 8),
% 0.17/0.44 left_branch(0, 11, 0, 9),
% 0.17/0.44 left_branch(0, 4, 2, 10),
% 0.17/0.44 reduction(0, 3),
% 0.17/0.44 reduction(0, 4),
% 0.17/0.44 right_branch(10),
% 0.17/0.44 right_branch(9),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(7),
% 0.17/0.44 left_branch(0, 2, 1, 8),
% 0.17/0.44 left_branch(0, 7, 0, 9),
% 0.17/0.44 left_branch(0, 10, 1, 10),
% 0.17/0.44 left_branch(0, 3, 1, 11),
% 0.17/0.44 left_branch(0, 8, 0, 12),
% 0.17/0.44 lemmata(0, 0),
% 0.17/0.44 right_branch(12),
% 0.17/0.44 right_branch(11),
% 0.17/0.44 right_branch(10),
% 0.17/0.44 right_branch(9),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(6),
% 0.17/0.44 left_branch(0, 8, 1, 7),
% 0.17/0.44 left_branch(0, 3, 0, 8),
% 0.17/0.44 left_branch(0, 10, 0, 9),
% 0.17/0.44 left_branch(0, 7, 1, 10),
% 0.17/0.44 left_branch(0, 2, 0, 11),
% 0.17/0.44 lemmata(0, 0),
% 0.17/0.44 right_branch(11),
% 0.17/0.44 right_branch(10),
% 0.17/0.44 right_branch(9),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(7),
% 0.17/0.44 right_branch(5),
% 0.17/0.44 right_branch(4),
% 0.17/0.44 right_branch(3),
% 0.17/0.44 right_branch(2),
% 0.17/0.44 left_branch(0, 5, 0, 3),
% 0.17/0.44 left_branch(0, 1, 0, 4),
% 0.17/0.44 left_branch(0, 9, 1, 5),
% 0.17/0.44 left_branch(0, 3, 0, 6),
% 0.17/0.44 left_branch(0, 11, 0, 7),
% 0.17/0.44 left_branch(0, 4, 2, 8),
% 0.17/0.44 reduction(0, 0),
% 0.17/0.44 reduction(0, 1),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(7),
% 0.17/0.44 right_branch(6),
% 0.17/0.44 right_branch(5),
% 0.17/0.44 left_branch(0, 2, 1, 6),
% 0.17/0.44 left_branch(0, 7, 0, 7),
% 0.17/0.44 left_branch(0, 10, 1, 8),
% 0.17/0.44 left_branch(0, 3, 1, 9),
% 0.17/0.44 left_branch(0, 8, 0, 10),
% 0.17/0.44 lemmata(0, 1),
% 0.17/0.44 right_branch(10),
% 0.17/0.44 right_branch(9),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(7),
% 0.17/0.44 right_branch(6),
% 0.17/0.44 right_branch(4),
% 0.17/0.44 left_branch(0, 8, 1, 5),
% 0.17/0.44 left_branch(0, 3, 0, 6),
% 0.17/0.44 left_branch(0, 10, 0, 7),
% 0.17/0.44 left_branch(0, 7, 1, 8),
% 0.17/0.44 left_branch(0, 2, 0, 9),
% 0.17/0.44 lemmata(0, 1),
% 0.17/0.44 right_branch(9),
% 0.17/0.44 right_branch(8),
% 0.17/0.44 right_branch(7),
% 0.17/0.44 right_branch(6),
% 0.17/0.44 right_branch(5),
% 0.17/0.44 right_branch(3)
% 0.17/0.44 )).
% 0.17/0.44 % SZS output end Proof for theBenchmark
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