TSTP Solution File: SYN067+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN067+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 : n014.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 14:41:43 EDT 2024
% Result : Theorem 14.53s 14.72s
% Output : Proof 14.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN067+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 : n014.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 22:32:45 EDT 2024
% 0.13/0.34 % CPUTime :
% 14.53/14.72 % SZS status Theorem for theBenchmark
% 14.53/14.72 % SZS output start Proof for theBenchmark
% 14.53/14.72
% 14.53/14.72 % Formula: pel38 ( conjecture ) (definitionally) converted to clauses:
% 14.53/14.72 cnf(pel38-1, negated_conjecture, ( ~_def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~_def8(_u15, _u17, _u18, _u12) )).
% 14.53/14.72 cnf(pel38-2, negated_conjecture, ( _def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~big_p(a) | ~_def0(_u3, _u0) | ~_def1(_u3) )).
% 14.53/14.72 cnf(pel38-3, negated_conjecture, ( _def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~_def2(_u5, _u4) | ~_def3(_u8, _u7) )).
% 14.53/14.72 cnf(pel38-4, negated_conjecture, ( _def0(_u3, _u0) | big_p(_u3) )).
% 14.53/14.72 cnf(pel38-5, negated_conjecture, ( _def0(_u3, _u0) | ~big_p(_u0) | ~big_r(_u3, _u0) )).
% 14.53/14.72 cnf(pel38-6, negated_conjecture, ( _def1(_u3) | big_p(skolem1(_u3)) )).
% 14.53/14.72 cnf(pel38-7, negated_conjecture, ( _def1(_u3) | big_r(_u3, skolem2(_u3)) )).
% 14.53/14.72 cnf(pel38-8, negated_conjecture, ( _def1(_u3) | big_r(skolem2(_u3), skolem1(_u3)) )).
% 14.53/14.72 cnf(pel38-9, negated_conjecture, ( _def2(_u5, _u4) | big_p(a) )).
% 14.53/14.72 cnf(pel38-10, negated_conjecture, ( _def2(_u5, _u4) | ~big_p(skolem3) )).
% 14.53/14.72 cnf(pel38-11, negated_conjecture, ( _def2(_u5, _u4) | ~big_p(_u5) | ~big_r(skolem3, _u4) | ~big_r(_u4, _u5) )).
% 14.53/14.72 cnf(pel38-12, negated_conjecture, ( _def3(_u8, _u7) | big_p(a) )).
% 14.53/14.72 cnf(pel38-13, negated_conjecture, ( _def3(_u8, _u7) | big_p(skolem4) )).
% 14.53/14.72 cnf(pel38-14, negated_conjecture, ( _def3(_u8, _u7) | big_r(skolem3, skolem4) )).
% 14.53/14.72 cnf(pel38-15, negated_conjecture, ( _def3(_u8, _u7) | ~big_p(_u8) | ~big_r(skolem3, _u7) | ~big_r(_u7, _u8) )).
% 14.53/14.72 cnf(pel38-16, negated_conjecture, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(a) | big_p(_u15) | ~_def5(_u15) )).
% 14.53/14.72 cnf(pel38-17, negated_conjecture, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(a) | ~big_p(_u12) | ~big_r(_u15, _u12) | ~_def6(_u15) )).
% 14.53/14.72 cnf(pel38-18, negated_conjecture, ( _def8(_u15, _u17, _u18, _u12) | big_p(a) )).
% 14.53/14.72 cnf(pel38-19, negated_conjecture, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(skolem9) | ~_def7 )).
% 14.53/14.72 cnf(pel38-20, negated_conjecture, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(_u18) | ~big_r(skolem9, _u17) | ~big_r(_u17, _u18) )).
% 14.53/14.72 cnf(pel38-21, negated_conjecture, ( _def5(_u15) | big_p(skolem5(_u15)) )).
% 14.53/14.72 cnf(pel38-22, negated_conjecture, ( _def5(_u15) | big_r(_u15, skolem6(_u15)) )).
% 14.53/14.72 cnf(pel38-23, negated_conjecture, ( _def5(_u15) | big_r(skolem6(_u15), skolem5(_u15)) )).
% 14.53/14.72 cnf(pel38-24, negated_conjecture, ( _def6(_u15) | big_p(skolem7(_u15)) )).
% 14.53/14.72 cnf(pel38-25, negated_conjecture, ( _def6(_u15) | big_r(_u15, skolem8(_u15)) )).
% 14.53/14.72 cnf(pel38-26, negated_conjecture, ( _def6(_u15) | big_r(skolem8(_u15), skolem7(_u15)) )).
% 14.53/14.72 cnf(pel38-27, negated_conjecture, ( _def7 | big_p(skolem10) )).
% 14.53/14.72 cnf(pel38-28, negated_conjecture, ( _def7 | big_r(skolem9, skolem10) )).
% 14.53/14.72
% 14.53/14.72 % Problem matrix:
% 14.53/14.72 cnf(matrix-0, plain, ( ~_def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~_def8(_u15, _u17, _u18, _u12) )).
% 14.53/14.72 cnf(matrix-1, plain, ( _def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~big_p(a) | ~_def0(_u3, _u0) | ~_def1(_u3) )).
% 14.53/14.72 cnf(matrix-2, plain, ( _def4(_u3, _u5, _u0, _u8, _u4, _u7) | ~_def2(_u5, _u4) | ~_def3(_u8, _u7) )).
% 14.53/14.72 cnf(matrix-3, plain, ( _def0(_u3, _u0) | big_p(_u3) )).
% 14.53/14.72 cnf(matrix-4, plain, ( _def0(_u3, _u0) | ~big_p(_u0) | ~big_r(_u3, _u0) )).
% 14.53/14.72 cnf(matrix-5, plain, ( _def1(_u3) | big_p(skolem1(_u3)) )).
% 14.53/14.72 cnf(matrix-6, plain, ( _def1(_u3) | big_r(_u3, skolem2(_u3)) )).
% 14.53/14.72 cnf(matrix-7, plain, ( _def1(_u3) | big_r(skolem2(_u3), skolem1(_u3)) )).
% 14.53/14.72 cnf(matrix-8, plain, ( _def2(_u5, _u4) | big_p(a) )).
% 14.53/14.72 cnf(matrix-9, plain, ( _def2(_u5, _u4) | ~big_p(skolem3) )).
% 14.53/14.72 cnf(matrix-10, plain, ( _def2(_u5, _u4) | ~big_p(_u5) | ~big_r(skolem3, _u4) | ~big_r(_u4, _u5) )).
% 14.53/14.72 cnf(matrix-11, plain, ( _def3(_u8, _u7) | big_p(a) )).
% 14.53/14.72 cnf(matrix-12, plain, ( _def3(_u8, _u7) | big_p(skolem4) )).
% 14.53/14.72 cnf(matrix-13, plain, ( _def3(_u8, _u7) | big_r(skolem3, skolem4) )).
% 14.53/14.72 cnf(matrix-14, plain, ( _def3(_u8, _u7) | ~big_p(_u8) | ~big_r(skolem3, _u7) | ~big_r(_u7, _u8) )).
% 14.53/14.72 cnf(matrix-15, plain, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(a) | big_p(_u15) | ~_def5(_u15) )).
% 14.53/14.72 cnf(matrix-16, plain, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(a) | ~big_p(_u12) | ~big_r(_u15, _u12) | ~_def6(_u15) )).
% 14.53/14.72 cnf(matrix-17, plain, ( _def8(_u15, _u17, _u18, _u12) | big_p(a) )).
% 14.53/14.72 cnf(matrix-18, plain, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(skolem9) | ~_def7 )).
% 14.53/14.72 cnf(matrix-19, plain, ( _def8(_u15, _u17, _u18, _u12) | ~big_p(_u18) | ~big_r(skolem9, _u17) | ~big_r(_u17, _u18) )).
% 14.53/14.72 cnf(matrix-20, plain, ( _def5(_u15) | big_p(skolem5(_u15)) )).
% 14.53/14.72 cnf(matrix-21, plain, ( _def5(_u15) | big_r(_u15, skolem6(_u15)) )).
% 14.53/14.72 cnf(matrix-22, plain, ( _def5(_u15) | big_r(skolem6(_u15), skolem5(_u15)) )).
% 14.53/14.72 cnf(matrix-23, plain, ( _def6(_u15) | big_p(skolem7(_u15)) )).
% 14.53/14.72 cnf(matrix-24, plain, ( _def6(_u15) | big_r(_u15, skolem8(_u15)) )).
% 14.53/14.72 cnf(matrix-25, plain, ( _def6(_u15) | big_r(skolem8(_u15), skolem7(_u15)) )).
% 14.53/14.72 cnf(matrix-26, plain, ( _def7 | big_p(skolem10) )).
% 14.53/14.72 cnf(matrix-27, plain, ( _def7 | big_r(skolem9, skolem10) )).
% 14.53/14.72
% 14.53/14.72 % Proof stack:
% 14.53/14.72 cnf(proof-stack, plain,
% 14.53/14.72 proof_stack(
% 14.53/14.72 start(1),
% 14.53/14.72 left_branch(0, 0, 0, 2),
% 14.53/14.72 left_branch(0, 18, 0, 3),
% 14.53/14.72 left_branch(0, 27, 0, 4),
% 14.53/14.72 left_branch(0, 16, 3, 5),
% 14.53/14.72 reduction(0, 1),
% 14.53/14.72 left_branch(0, 25, 0, 7),
% 14.53/14.72 left_branch(0, 19, 3, 8),
% 14.53/14.72 reduction(0, 1),
% 14.53/14.72 left_branch(0, 24, 1, 10),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 left_branch(0, 23, 1, 11),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 left_branch(0, 26, 1, 8),
% 14.53/14.72 reduction(0, 2),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 left_branch(0, 17, 1, 9),
% 14.53/14.72 reduction(0, 1),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 right_branch(5),
% 14.53/14.72 right_branch(4),
% 14.53/14.72 left_branch(0, 15, 2, 5),
% 14.53/14.72 reduction(0, 1),
% 14.53/14.72 left_branch(0, 22, 0, 7),
% 14.53/14.72 left_branch(0, 19, 3, 8),
% 14.53/14.72 left_branch(0, 0, 1, 9),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 left_branch(0, 21, 1, 10),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 left_branch(0, 20, 1, 11),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 left_branch(0, 17, 1, 8),
% 14.53/14.72 reduction(0, 1),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 right_branch(5),
% 14.53/14.72 right_branch(3),
% 14.53/14.72 right_branch(2),
% 14.53/14.72 left_branch(0, 6, 0, 3),
% 14.53/14.72 left_branch(0, 19, 2, 4),
% 14.53/14.72 left_branch(0, 0, 1, 5),
% 14.53/14.72 left_branch(0, 1, 0, 6),
% 14.53/14.72 left_branch(0, 7, 0, 7),
% 14.53/14.72 left_branch(0, 14, 3, 8),
% 14.53/14.72 left_branch(0, 2, 2, 9),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 10, 0, 11),
% 14.53/14.72 reduction(0, 5),
% 14.53/14.72 left_branch(0, 6, 1, 13),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 left_branch(0, 5, 1, 14),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(14),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 left_branch(0, 6, 1, 10),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 left_branch(0, 5, 1, 11),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 left_branch(0, 4, 0, 8),
% 14.53/14.72 left_branch(0, 13, 1, 9),
% 14.53/14.72 left_branch(0, 2, 2, 10),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 9, 0, 12),
% 14.53/14.72 left_branch(0, 3, 1, 13),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 left_branch(0, 12, 1, 10),
% 14.53/14.72 left_branch(0, 2, 2, 11),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 9, 0, 13),
% 14.53/14.72 left_branch(0, 3, 1, 14),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(14),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 left_branch(0, 17, 1, 9),
% 14.53/14.72 left_branch(0, 0, 1, 10),
% 14.53/14.72 left_branch(0, 2, 0, 11),
% 14.53/14.72 left_branch(0, 11, 0, 12),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 left_branch(0, 8, 0, 13),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 right_branch(6),
% 14.53/14.72 right_branch(5),
% 14.53/14.72 left_branch(0, 7, 1, 6),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 right_branch(6),
% 14.53/14.72 left_branch(0, 5, 1, 7),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 right_branch(4),
% 14.53/14.72 right_branch(3),
% 14.53/14.72 left_branch(0, 3, 0, 4),
% 14.53/14.72 left_branch(0, 18, 1, 5),
% 14.53/14.72 left_branch(0, 0, 1, 6),
% 14.53/14.72 left_branch(0, 2, 0, 7),
% 14.53/14.72 left_branch(0, 11, 0, 8),
% 14.53/14.72 left_branch(0, 1, 1, 9),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 4, 0, 11),
% 14.53/14.72 left_branch(0, 13, 1, 12),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 left_branch(0, 12, 1, 13),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 left_branch(0, 7, 0, 12),
% 14.53/14.72 left_branch(0, 14, 3, 13),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 left_branch(0, 6, 1, 15),
% 14.53/14.72 reduction(0, 6),
% 14.53/14.72 right_branch(15),
% 14.53/14.72 left_branch(0, 5, 1, 16),
% 14.53/14.72 reduction(0, 6),
% 14.53/14.72 right_branch(16),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 left_branch(0, 10, 0, 9),
% 14.53/14.72 left_branch(0, 7, 1, 10),
% 14.53/14.72 left_branch(0, 1, 3, 11),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 3, 0, 13),
% 14.53/14.72 left_branch(0, 9, 1, 14),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(14),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 left_branch(0, 8, 1, 14),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(14),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 left_branch(0, 6, 1, 11),
% 14.53/14.72 left_branch(0, 1, 3, 12),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 3, 0, 14),
% 14.53/14.72 left_branch(0, 9, 1, 15),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(15),
% 14.53/14.72 right_branch(14),
% 14.53/14.72 left_branch(0, 8, 1, 15),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(15),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 right_branch(11),
% 14.53/14.72 left_branch(0, 5, 1, 12),
% 14.53/14.72 left_branch(0, 1, 3, 13),
% 14.53/14.72 reduction(0, 3),
% 14.53/14.72 left_branch(0, 3, 0, 15),
% 14.53/14.72 left_branch(0, 9, 1, 16),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(16),
% 14.53/14.72 right_branch(15),
% 14.53/14.72 left_branch(0, 8, 1, 16),
% 14.53/14.72 reduction(0, 4),
% 14.53/14.72 right_branch(16),
% 14.53/14.72 right_branch(13),
% 14.53/14.72 right_branch(12),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 right_branch(6),
% 14.53/14.72 left_branch(0, 27, 0, 7),
% 14.53/14.72 left_branch(0, 4, 2, 8),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 left_branch(0, 26, 1, 10),
% 14.53/14.72 reduction(0, 2),
% 14.53/14.72 right_branch(10),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 right_branch(5),
% 14.53/14.72 right_branch(4),
% 14.53/14.72 left_branch(0, 17, 1, 5),
% 14.53/14.72 left_branch(0, 0, 1, 6),
% 14.53/14.72 left_branch(0, 2, 0, 7),
% 14.53/14.72 left_branch(0, 11, 0, 8),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 right_branch(8),
% 14.53/14.72 left_branch(0, 8, 0, 9),
% 14.53/14.72 reduction(0, 0),
% 14.53/14.72 right_branch(9),
% 14.53/14.72 right_branch(7),
% 14.53/14.72 right_branch(6),
% 14.53/14.72 right_branch(5)
% 14.53/14.72 )).
% 14.53/14.72 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------