TSTP Solution File: SYN077+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN077+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 : n029.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 14:41:46 EDT 2024
% Result : Theorem 245.80s 245.96s
% Output : Proof 245.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n029.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 23:28:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 245.80/245.96 % SZS status Theorem for theBenchmark
% 245.80/245.96 % SZS output start Proof for theBenchmark
% 245.80/245.96
% 245.80/245.96 % Formula: pel54_1 ( axiom ) converted to clauses:
% 245.80/245.96 cnf(pel54_1-1, axiom, ( ~big_f(_u3, skolem1(_u2)) | ( _u3 = _u2) )).
% 245.80/245.96 cnf(pel54_1-2, axiom, ( ( _u4 != _u2) | big_f(_u4, skolem1(_u2)) )).
% 245.80/245.96
% 245.80/245.96 % Formula: pel54 ( conjecture ) (definitionally) converted to clauses:
% 245.80/245.96 cnf(pel54-1, negated_conjecture, ( ~big_f(_u11, skolem2) | ~big_f(_u11, _u7) | ~_def0(_u11, _u5, _u7) )).
% 245.80/245.96 cnf(pel54-2, negated_conjecture, ( ~_def2(_u11, _u9) | big_f(_u11, skolem2) )).
% 245.80/245.96 cnf(pel54-3, negated_conjecture, ( _def0(_u11, _u5, _u7) | big_f(skolem3(_u11, _u7), _u7) )).
% 245.80/245.96 cnf(pel54-4, negated_conjecture, ( _def0(_u11, _u5, _u7) | ~big_f(_u5, _u7) | ~big_f(_u5, skolem3(_u11, _u7)) )).
% 245.80/245.96 cnf(pel54-5, negated_conjecture, ( _def2(_u11, _u9) | big_f(_u11, skolem4(_u11)) )).
% 245.80/245.96 cnf(pel54-6, negated_conjecture, ( _def2(_u11, _u9) | ~big_f(_u9, skolem4(_u11)) | ~_def1(_u11, _u9) )).
% 245.80/245.96 cnf(pel54-7, negated_conjecture, ( _def1(_u11, _u9) | big_f(skolem5(_u11, _u9), skolem4(_u11)) )).
% 245.80/245.96 cnf(pel54-8, negated_conjecture, ( _def1(_u11, _u9) | big_f(skolem5(_u11, _u9), _u9) )).
% 245.80/245.96
% 245.80/245.96 % Problem matrix:
% 245.80/245.96 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 245.80/245.96 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 245.80/245.96 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 245.80/245.96 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 245.80/245.96 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 245.80/245.96 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 245.80/245.96 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 245.80/245.96 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~big_f(__eqx_0, __eqx_1) | big_f(__eqy_0, __eqy_1) )).
% 245.80/245.96 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def0(__eqx_0, __eqx_1, __eqx_2) | _def0(__eqy_0, __eqy_1, __eqy_2) )).
% 245.80/245.96 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 245.80/245.96 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def2(__eqx_0, __eqx_1) | _def2(__eqy_0, __eqy_1) )).
% 245.80/245.96 cnf(matrix-11, plain, ( ~big_f(_u3, skolem1(_u2)) | ( _u3 = _u2) )).
% 245.80/245.96 cnf(matrix-12, plain, ( ( _u4 != _u2) | big_f(_u4, skolem1(_u2)) )).
% 245.80/245.96 cnf(matrix-13, plain, ( ~big_f(_u11, skolem2) | ~big_f(_u11, _u7) | ~_def0(_u11, _u5, _u7) )).
% 245.80/245.96 cnf(matrix-14, plain, ( ~_def2(_u11, _u9) | big_f(_u11, skolem2) )).
% 245.80/245.96 cnf(matrix-15, plain, ( _def0(_u11, _u5, _u7) | big_f(skolem3(_u11, _u7), _u7) )).
% 245.80/245.96 cnf(matrix-16, plain, ( _def0(_u11, _u5, _u7) | ~big_f(_u5, _u7) | ~big_f(_u5, skolem3(_u11, _u7)) )).
% 245.80/245.96 cnf(matrix-17, plain, ( _def2(_u11, _u9) | big_f(_u11, skolem4(_u11)) )).
% 245.80/245.96 cnf(matrix-18, plain, ( _def2(_u11, _u9) | ~big_f(_u9, skolem4(_u11)) | ~_def1(_u11, _u9) )).
% 245.80/245.96 cnf(matrix-19, plain, ( _def1(_u11, _u9) | big_f(skolem5(_u11, _u9), skolem4(_u11)) )).
% 245.80/245.96 cnf(matrix-20, plain, ( _def1(_u11, _u9) | big_f(skolem5(_u11, _u9), _u9) )).
% 245.80/245.96
% 245.80/245.96 % Proof stack:
% 245.80/245.96 cnf(proof-stack, plain,
% 245.80/245.96 proof_stack(
% 245.80/245.96 start(13),
% 245.80/245.96 left_branch(0, 14, 1, 2),
% 245.80/245.96 left_branch(0, 18, 0, 3),
% 245.80/245.96 left_branch(0, 20, 0, 4),
% 245.80/245.96 left_branch(0, 13, 0, 5),
% 245.80/245.96 left_branch(0, 16, 0, 6),
% 245.80/245.96 left_branch(0, 20, 1, 7),
% 245.80/245.96 left_branch(0, 18, 2, 8),
% 245.80/245.96 left_branch(0, 14, 0, 9),
% 245.80/245.96 reduction(0, 0),
% 245.80/245.96 right_branch(9),
% 245.80/245.96 left_branch(0, 15, 1, 10),
% 245.80/245.96 reduction(0, 4),
% 245.80/245.96 right_branch(10),
% 245.80/245.96 right_branch(8),
% 245.80/245.96 right_branch(7),
% 245.80/245.96 left_branch(0, 19, 1, 8),
% 245.80/245.96 left_branch(0, 18, 2, 9),
% 245.80/245.96 left_branch(0, 14, 0, 10),
% 245.80/245.96 reduction(0, 0),
% 245.80/245.96 right_branch(10),
% 245.80/245.96 left_branch(0, 15, 1, 11),
% 245.80/245.96 reduction(0, 4),
% 245.80/245.96 right_branch(11),
% 245.80/245.96 right_branch(9),
% 245.80/245.96 right_branch(8),
% 245.80/245.96 right_branch(6),
% 245.80/245.96 left_branch(0, 19, 1, 7),
% 245.80/245.96 reduction(0, 2),
% 245.80/245.96 right_branch(7),
% 245.80/245.96 right_branch(5),
% 245.80/245.96 right_branch(4),
% 245.80/245.96 left_branch(0, 17, 1, 5),
% 245.80/245.96 reduction(0, 1),
% 245.80/245.96 right_branch(5),
% 245.80/245.96 right_branch(3),
% 245.80/245.96 right_branch(2),
% 245.80/245.96 left_branch(0, 15, 0, 3),
% 245.80/245.96 left_branch(0, 11, 0, 4),
% 245.80/245.96 left_branch(0, 2, 1, 5),
% 245.80/245.96 left_branch(0, 11, 1, 6),
% 245.80/245.96 left_branch(0, 15, 1, 7),
% 245.80/245.96 left_branch(0, 8, 3, 8),
% 245.80/245.96 reduction(0, 2),
% 245.80/245.96 reduction(0, 0),
% 245.80/245.96 left_branch(0, 3, 1, 11),
% 245.80/245.96 lemmata(0, 1),
% 245.80/245.96 right_branch(11),
% 245.80/245.96 reduction(0, 2),
% 245.80/245.96 right_branch(8),
% 245.80/245.96 right_branch(7),
% 245.80/245.96 right_branch(6),
% 245.80/245.96 left_branch(0, 1, 0, 7),
% 245.80/245.96 left_branch(0, 7, 1, 8),
% 245.80/245.96 reduction(0, 4),
% 245.80/245.96 lemmata(0, 0),
% 245.80/245.96 left_branch(0, 16, 2, 11),
% 245.80/245.96 left_branch(0, 8, 3, 12),
% 245.80/245.96 reduction(0, 2),
% 245.80/245.96 reduction(0, 0),
% 245.80/245.96 left_branch(0, 3, 1, 15),
% 245.80/245.96 lemmata(0, 3),
% 245.80/245.96 right_branch(15),
% 245.80/245.96 reduction(0, 3),
% 245.80/245.96 right_branch(12),
% 245.80/245.96 left_branch(0, 12, 1, 13),
% 245.80/245.96 lemmata(0, 1),
% 245.80/245.96 right_branch(13),
% 245.80/245.96 right_branch(11),
% 245.80/245.96 right_branch(8),
% 245.80/245.96 right_branch(7),
% 245.80/245.96 right_branch(5),
% 245.80/245.96 right_branch(4),
% 245.80/245.96 right_branch(3),
% 245.80/245.96 left_branch(0, 12, 1, 4),
% 245.80/245.96 left_branch(0, 0, 0, 5),
% 245.80/245.96 right_branch(5),
% 245.80/245.96 right_branch(4)
% 245.80/245.96 )).
% 245.80/245.96 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------