TSTP Solution File: SYN078+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN078+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 : n024.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 0.18s 0.42s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN078+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n024.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 22:32:31 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start Proof for theBenchmark
% 0.18/0.42
% 0.18/0.42 % Formula: pel56 ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.42 cnf(pel56-1, negated_conjecture, ( ~_def0(_u0, _u1) | ~_def1(_u3) )).
% 0.18/0.42 cnf(pel56-2, negated_conjecture, ( _def0(_u0, _u1) | ~big_p(_u0) | ( _u1 != f(_u0)) | big_p(_u1) )).
% 0.18/0.42 cnf(pel56-3, negated_conjecture, ( _def0(_u0, _u1) | big_p(skolem1) )).
% 0.18/0.42 cnf(pel56-4, negated_conjecture, ( _def0(_u0, _u1) | ~big_p(f(skolem1)) )).
% 0.18/0.42 cnf(pel56-5, negated_conjecture, ( _def1(_u3) | ~big_p(_u3) | big_p(f(_u3)) )).
% 0.18/0.42 cnf(pel56-6, negated_conjecture, ( _def1(_u3) | big_p(skolem3) )).
% 0.18/0.42 cnf(pel56-7, negated_conjecture, ( _def1(_u3) | ( skolem2 = f(skolem3)) )).
% 0.18/0.42 cnf(pel56-8, negated_conjecture, ( _def1(_u3) | ~big_p(skolem2) )).
% 0.18/0.42
% 0.18/0.42 % Problem matrix:
% 0.18/0.42 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.42 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.42 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.42 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( f(__eqx_0) = f(__eqy_0)) )).
% 0.18/0.42 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~big_p(__eqx_0) | big_p(__eqy_0) )).
% 0.18/0.42 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 0.18/0.42 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.18/0.42 cnf(matrix-7, plain, ( ~_def0(_u0, _u1) | ~_def1(_u3) )).
% 0.18/0.42 cnf(matrix-8, plain, ( _def0(_u0, _u1) | ~big_p(_u0) | ( _u1 != f(_u0)) | big_p(_u1) )).
% 0.18/0.42 cnf(matrix-9, plain, ( _def0(_u0, _u1) | big_p(skolem1) )).
% 0.18/0.42 cnf(matrix-10, plain, ( _def0(_u0, _u1) | ~big_p(f(skolem1)) )).
% 0.18/0.42 cnf(matrix-11, plain, ( _def1(_u3) | ~big_p(_u3) | big_p(f(_u3)) )).
% 0.18/0.42 cnf(matrix-12, plain, ( _def1(_u3) | big_p(skolem3) )).
% 0.18/0.42 cnf(matrix-13, plain, ( _def1(_u3) | ( skolem2 = f(skolem3)) )).
% 0.18/0.42 cnf(matrix-14, plain, ( _def1(_u3) | ~big_p(skolem2) )).
% 0.18/0.42
% 0.18/0.42 % Proof stack:
% 0.18/0.42 cnf(proof-stack, plain,
% 0.18/0.42 proof_stack(
% 0.18/0.42 start(7),
% 0.18/0.42 left_branch(0, 10, 0, 2),
% 0.18/0.42 left_branch(0, 11, 2, 3),
% 0.18/0.42 left_branch(0, 7, 1, 4),
% 0.18/0.42 left_branch(0, 9, 0, 5),
% 0.18/0.42 left_branch(0, 8, 1, 6),
% 0.18/0.42 reduction(0, 3),
% 0.18/0.42 left_branch(0, 0, 0, 8),
% 0.18/0.42 right_branch(8),
% 0.18/0.42 reduction(0, 1),
% 0.18/0.42 right_branch(6),
% 0.18/0.42 right_branch(5),
% 0.18/0.42 right_branch(4),
% 0.18/0.42 left_branch(0, 9, 1, 5),
% 0.18/0.42 reduction(0, 0),
% 0.18/0.42 right_branch(5),
% 0.18/0.42 right_branch(3),
% 0.18/0.42 right_branch(2),
% 0.18/0.42 left_branch(0, 13, 0, 3),
% 0.18/0.42 left_branch(0, 1, 0, 4),
% 0.18/0.42 left_branch(0, 4, 0, 5),
% 0.18/0.42 left_branch(0, 14, 1, 6),
% 0.18/0.42 reduction(0, 0),
% 0.18/0.42 right_branch(6),
% 0.18/0.42 left_branch(0, 11, 2, 7),
% 0.18/0.42 reduction(0, 0),
% 0.18/0.42 left_branch(0, 12, 1, 9),
% 0.18/0.42 reduction(0, 0),
% 0.18/0.42 right_branch(9),
% 0.18/0.42 right_branch(7),
% 0.18/0.42 right_branch(5),
% 0.18/0.42 right_branch(4),
% 0.18/0.42 right_branch(3)
% 0.18/0.42 )).
% 0.18/0.42 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------