TSTP Solution File: SYN332+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN332+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 : n028.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 20.35s 20.54s
% Output : Proof 20.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n028.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 23:28:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 20.35/20.54 % SZS status Theorem for theBenchmark
% 20.35/20.54 % SZS output start Proof for theBenchmark
% 20.35/20.54
% 20.35/20.54 % Formula: church_46_14_4 ( conjecture ) (definitionally) converted to clauses:
% 20.35/20.54 cnf(church_46_14_4-1, negated_conjecture, ( ~_def0(_u1, _u2) | ~_def1(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-2, negated_conjecture, ( ~big_f(_u2, skolem1(_u2, _u1)) | big_f(skolem1(_u2, _u1), _u2) )).
% 20.35/20.54 cnf(church_46_14_4-3, negated_conjecture, ( ~big_f(skolem1(_u2, _u1), _u2) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-4, negated_conjecture, ( ~big_f(_u2, skolem1(_u2, _u1)) | big_f(_u1, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-5, negated_conjecture, ( ~big_f(_u1, skolem1(_u2, _u1)) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-6, negated_conjecture, ( ~_def2(_u1, _u2) | big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-7, negated_conjecture, ( ~big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) | ~big_f(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(church_46_14_4-8, negated_conjecture, ( ~_def3(_u1, _u2) | ~_def6(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-9, negated_conjecture, ( _def0(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(church_46_14_4-10, negated_conjecture, ( _def0(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-11, negated_conjecture, ( _def0(_u1, _u2) | ~big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-12, negated_conjecture, ( _def1(_u1, _u2) | ~big_f(_u2, _u1) | ~big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-13, negated_conjecture, ( _def1(_u1, _u2) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(church_46_14_4-14, negated_conjecture, ( _def2(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-15, negated_conjecture, ( _def2(_u1, _u2) | ~big_f(_u2, _u1) )).
% 20.35/20.54 cnf(church_46_14_4-16, negated_conjecture, ( _def3(_u1, _u2) | ~big_f(_u2, _u1) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-17, negated_conjecture, ( _def3(_u1, _u2) | ~big_f(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(church_46_14_4-18, negated_conjecture, ( _def3(_u1, _u2) | ~big_f(skolem1(_u2, _u1), _u1) )).
% 20.35/20.54 cnf(church_46_14_4-19, negated_conjecture, ( _def6(_u1, _u2) | big_f(skolem1(_u2, _u1), _u1) )).
% 20.35/20.54 cnf(church_46_14_4-20, negated_conjecture, ( _def6(_u1, _u2) | ~_def4(_u1, _u2) | ~_def5(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-21, negated_conjecture, ( _def4(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(church_46_14_4-22, negated_conjecture, ( _def4(_u1, _u2) | ~big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-23, negated_conjecture, ( _def5(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(church_46_14_4-24, negated_conjecture, ( _def5(_u1, _u2) | ~big_f(_u2, _u1) )).
% 20.35/20.54
% 20.35/20.54 % Problem matrix:
% 20.35/20.54 cnf(matrix-0, plain, ( ~_def0(_u1, _u2) | ~_def1(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-1, plain, ( ~big_f(_u2, skolem1(_u2, _u1)) | big_f(skolem1(_u2, _u1), _u2) )).
% 20.35/20.54 cnf(matrix-2, plain, ( ~big_f(skolem1(_u2, _u1), _u2) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-3, plain, ( ~big_f(_u2, skolem1(_u2, _u1)) | big_f(_u1, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-4, plain, ( ~big_f(_u1, skolem1(_u2, _u1)) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-5, plain, ( ~_def2(_u1, _u2) | big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-6, plain, ( ~big_f(skolem1(_u2, _u1), skolem1(_u2, _u1)) | ~big_f(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(matrix-7, plain, ( ~_def3(_u1, _u2) | ~_def6(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-8, plain, ( _def0(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(matrix-9, plain, ( _def0(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-10, plain, ( _def0(_u1, _u2) | ~big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-11, plain, ( _def1(_u1, _u2) | ~big_f(_u2, _u1) | ~big_f(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-12, plain, ( _def1(_u1, _u2) | big_f(_u2, skolem1(_u2, _u1)) )).
% 20.35/20.54 cnf(matrix-13, plain, ( _def2(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-14, plain, ( _def2(_u1, _u2) | ~big_f(_u2, _u1) )).
% 20.35/20.54 cnf(matrix-15, plain, ( _def3(_u1, _u2) | ~big_f(_u2, _u1) | big_f(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-16, plain, ( _def3(_u1, _u2) | ~big_f(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.54 cnf(matrix-17, plain, ( _def3(_u1, _u2) | ~big_f(skolem1(_u2, _u1), _u1) )).
% 20.35/20.54 cnf(matrix-18, plain, ( _def6(_u1, _u2) | big_f(skolem1(_u2, _u1), _u1) )).
% 20.35/20.54 cnf(matrix-19, plain, ( _def6(_u1, _u2) | ~_def4(_u1, _u2) | ~_def5(_u1, _u2) )).
% 20.35/20.54 cnf(matrix-20, plain, ( _def4(_u1, _u2) | big_f(_u2, _u1) )).
% 20.35/20.55 cnf(matrix-21, plain, ( _def4(_u1, _u2) | ~big_f(_u1, _u2) )).
% 20.35/20.55 cnf(matrix-22, plain, ( _def5(_u1, _u2) | big_f(_u1, _u2) )).
% 20.35/20.55 cnf(matrix-23, plain, ( _def5(_u1, _u2) | ~big_f(_u2, _u1) )).
% 20.35/20.55
% 20.35/20.55 % Proof stack:
% 20.35/20.55 cnf(proof-stack, plain,
% 20.35/20.55 proof_stack(
% 20.35/20.55 start(3),
% 20.35/20.55 left_branch(0, 12, 1, 2),
% 20.35/20.55 left_branch(0, 0, 1, 3),
% 20.35/20.55 left_branch(0, 9, 0, 4),
% 20.35/20.55 left_branch(0, 17, 1, 5),
% 20.35/20.55 left_branch(0, 7, 0, 6),
% 20.35/20.55 left_branch(0, 19, 0, 7),
% 20.35/20.55 left_branch(0, 23, 0, 8),
% 20.35/20.55 left_branch(0, 22, 1, 9),
% 20.35/20.55 reduction(0, 6),
% 20.35/20.55 right_branch(9),
% 20.35/20.55 right_branch(8),
% 20.35/20.55 left_branch(0, 21, 0, 9),
% 20.35/20.55 left_branch(0, 20, 1, 10),
% 20.35/20.55 reduction(0, 6),
% 20.35/20.55 right_branch(10),
% 20.35/20.55 right_branch(9),
% 20.35/20.55 right_branch(7),
% 20.35/20.55 right_branch(6),
% 20.35/20.55 right_branch(5),
% 20.35/20.55 right_branch(4),
% 20.35/20.55 right_branch(3),
% 20.35/20.55 right_branch(2),
% 20.35/20.55 left_branch(0, 6, 1, 3),
% 20.35/20.55 left_branch(0, 22, 1, 4),
% 20.35/20.55 left_branch(0, 19, 2, 5),
% 20.35/20.55 left_branch(0, 7, 1, 6),
% 20.35/20.55 left_branch(0, 17, 0, 7),
% 20.35/20.55 left_branch(0, 6, 2, 8),
% 20.35/20.55 left_branch(0, 5, 1, 9),
% 20.35/20.55 left_branch(0, 13, 0, 10),
% 20.35/20.55 left_branch(0, 1, 0, 11),
% 20.35/20.55 reduction(0, 5),
% 20.35/20.55 right_branch(11),
% 20.35/20.55 right_branch(10),
% 20.35/20.55 right_branch(9),
% 20.35/20.55 left_branch(0, 12, 1, 10),
% 20.35/20.55 left_branch(0, 0, 1, 11),
% 20.35/20.55 left_branch(0, 9, 0, 12),
% 20.35/20.55 reduction(0, 1),
% 20.35/20.55 right_branch(12),
% 20.35/20.55 right_branch(11),
% 20.35/20.55 right_branch(10),
% 20.35/20.55 right_branch(8),
% 20.35/20.55 right_branch(7),
% 20.35/20.55 right_branch(6),
% 20.35/20.55 left_branch(0, 20, 0, 7),
% 20.35/20.55 reduction(0, 1),
% 20.35/20.55 right_branch(7),
% 20.35/20.55 right_branch(5),
% 20.35/20.55 right_branch(4),
% 20.35/20.55 left_branch(0, 17, 1, 5),
% 20.35/20.55 left_branch(0, 7, 0, 6),
% 20.35/20.55 left_branch(0, 19, 0, 7),
% 20.35/20.55 left_branch(0, 23, 0, 8),
% 20.35/20.55 left_branch(0, 6, 2, 9),
% 20.35/20.55 left_branch(0, 5, 1, 10),
% 20.35/20.55 left_branch(0, 13, 0, 11),
% 20.35/20.55 left_branch(0, 2, 0, 12),
% 20.35/20.55 reduction(0, 5),
% 20.35/20.55 right_branch(12),
% 20.35/20.55 right_branch(11),
% 20.35/20.55 right_branch(10),
% 20.35/20.55 left_branch(0, 22, 1, 11),
% 20.35/20.55 reduction(0, 4),
% 20.35/20.55 right_branch(11),
% 20.35/20.55 right_branch(9),
% 20.35/20.55 right_branch(8),
% 20.35/20.55 left_branch(0, 21, 0, 9),
% 20.35/20.55 left_branch(0, 6, 2, 10),
% 20.35/20.55 left_branch(0, 5, 1, 11),
% 20.35/20.55 left_branch(0, 13, 0, 12),
% 20.35/20.55 left_branch(0, 1, 0, 13),
% 20.35/20.55 reduction(0, 5),
% 20.35/20.55 right_branch(13),
% 20.35/20.55 right_branch(12),
% 20.35/20.55 right_branch(11),
% 20.35/20.55 left_branch(0, 20, 1, 12),
% 20.35/20.55 reduction(0, 4),
% 20.35/20.55 right_branch(12),
% 20.35/20.55 right_branch(10),
% 20.35/20.55 right_branch(9),
% 20.35/20.55 right_branch(7),
% 20.35/20.55 right_branch(6),
% 20.35/20.55 right_branch(5),
% 20.35/20.55 right_branch(3)
% 20.35/20.55 )).
% 20.35/20.55 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------