TSTP Solution File: SYN075+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN075+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 : n008.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 14:41:45 EDT 2024

% Result   : Theorem 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Mar 20 23:13:58 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  % SZS status Theorem for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% 0.19/0.43  
% 0.19/0.43  % Formula: pel52_1 ( axiom ) converted to clauses:
% 0.19/0.43  cnf(pel52_1-1, axiom, ( ~big_f(_u6, _u4) | ( _u6 = skolem1) )).
% 0.19/0.43  cnf(pel52_1-2, axiom, ( ~big_f(_u6, _u4) | ( _u4 = skolem2) )).
% 0.19/0.43  cnf(pel52_1-3, axiom, ( ( _u7 != skolem1) | ( _u5 != skolem2) | big_f(_u7, _u5) )).
% 0.19/0.43  
% 0.19/0.43  % Formula: pel52 ( conjecture ) (definitionally) converted to clauses:
% 0.19/0.43  cnf(pel52-1, negated_conjecture, ( ~_def0(_u13, _u8) | ~_def3(_u11, _u13) )).
% 0.19/0.43  cnf(pel52-2, negated_conjecture, ( _def0(_u13, _u8) | ~big_f(_u8, skolem3(_u13)) | ( _u8 = skolem4(_u13)) )).
% 0.19/0.43  cnf(pel52-3, negated_conjecture, ( _def0(_u13, _u8) | ( _u8 != skolem4(_u13)) | big_f(_u8, skolem3(_u13)) )).
% 0.19/0.43  cnf(pel52-4, negated_conjecture, ( _def0(_u13, _u8) | ( skolem3(_u13) != _u13) )).
% 0.19/0.43  cnf(pel52-5, negated_conjecture, ( _def3(_u11, _u13) | ( skolem3(_u13) = _u13) )).
% 0.19/0.43  cnf(pel52-6, negated_conjecture, ( _def3(_u11, _u13) | ~_def1(_u11, _u13) | ~_def2(_u11, _u13) )).
% 0.19/0.43  cnf(pel52-7, negated_conjecture, ( _def1(_u11, _u13) | big_f(skolem5(_u13, _u11), skolem3(_u13)) )).
% 0.19/0.43  cnf(pel52-8, negated_conjecture, ( _def1(_u11, _u13) | ( skolem5(_u13, _u11) != _u11) )).
% 0.19/0.43  cnf(pel52-9, negated_conjecture, ( _def2(_u11, _u13) | ( skolem5(_u13, _u11) = _u11) )).
% 0.19/0.43  cnf(pel52-10, negated_conjecture, ( _def2(_u11, _u13) | ~big_f(skolem5(_u13, _u11), skolem3(_u13)) )).
% 0.19/0.43  
% 0.19/0.43  % Problem matrix:
% 0.19/0.43  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.43  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.43  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.43  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.19/0.43  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.19/0.43  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 0.19/0.43  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~big_f(__eqx_0, __eqx_1) | big_f(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def2(__eqx_0, __eqx_1) | _def2(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def3(__eqx_0, __eqx_1) | _def3(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-11, plain, ( ~big_f(_u6, _u4) | ( _u6 = skolem1) )).
% 0.19/0.43  cnf(matrix-12, plain, ( ~big_f(_u6, _u4) | ( _u4 = skolem2) )).
% 0.19/0.43  cnf(matrix-13, plain, ( ( _u7 != skolem1) | ( _u5 != skolem2) | big_f(_u7, _u5) )).
% 0.19/0.43  cnf(matrix-14, plain, ( ~_def0(_u13, _u8) | ~_def3(_u11, _u13) )).
% 0.19/0.43  cnf(matrix-15, plain, ( _def0(_u13, _u8) | ~big_f(_u8, skolem3(_u13)) | ( _u8 = skolem4(_u13)) )).
% 0.19/0.43  cnf(matrix-16, plain, ( _def0(_u13, _u8) | ( _u8 != skolem4(_u13)) | big_f(_u8, skolem3(_u13)) )).
% 0.19/0.43  cnf(matrix-17, plain, ( _def0(_u13, _u8) | ( skolem3(_u13) != _u13) )).
% 0.19/0.43  cnf(matrix-18, plain, ( _def3(_u11, _u13) | ( skolem3(_u13) = _u13) )).
% 0.19/0.43  cnf(matrix-19, plain, ( _def3(_u11, _u13) | ~_def1(_u11, _u13) | ~_def2(_u11, _u13) )).
% 0.19/0.43  cnf(matrix-20, plain, ( _def1(_u11, _u13) | big_f(skolem5(_u13, _u11), skolem3(_u13)) )).
% 0.19/0.43  cnf(matrix-21, plain, ( _def1(_u11, _u13) | ( skolem5(_u13, _u11) != _u11) )).
% 0.19/0.43  cnf(matrix-22, plain, ( _def2(_u11, _u13) | ( skolem5(_u13, _u11) = _u11) )).
% 0.19/0.43  cnf(matrix-23, plain, ( _def2(_u11, _u13) | ~big_f(skolem5(_u13, _u11), skolem3(_u13)) )).
% 0.19/0.43  
% 0.19/0.43  % Proof stack:
% 0.19/0.43  cnf(proof-stack, plain, 
% 0.19/0.43  proof_stack(
% 0.19/0.43  start(14), 
% 0.19/0.43  left_branch(0, 17, 0, 2), 
% 0.19/0.43  left_branch(0, 12, 1, 3), 
% 0.19/0.43  left_branch(0, 16, 2, 4), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  left_branch(0, 4, 1, 6), 
% 0.19/0.43  left_branch(0, 0, 0, 7), 
% 0.19/0.43  right_branch(7), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  right_branch(4), 
% 0.19/0.43  right_branch(3), 
% 0.19/0.43  right_branch(2), 
% 0.19/0.43  left_branch(0, 19, 0, 3), 
% 0.19/0.43  left_branch(0, 23, 0, 4), 
% 0.19/0.43  left_branch(0, 13, 2, 5), 
% 0.19/0.43  left_branch(0, 22, 1, 6), 
% 0.19/0.43  reduction(0, 1), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  left_branch(0, 18, 1, 7), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  right_branch(7), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  right_branch(4), 
% 0.19/0.43  left_branch(0, 21, 0, 5), 
% 0.19/0.43  left_branch(0, 11, 1, 6), 
% 0.19/0.43  left_branch(0, 20, 1, 7), 
% 0.19/0.43  reduction(0, 1), 
% 0.19/0.43  right_branch(7), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  right_branch(3)
% 0.19/0.43  )).
% 0.19/0.43  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------