TSTP Solution File: SEU143+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n032.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 14:33:17 EDT 2024

% Result   : Theorem 0.12s 0.30s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Wed Mar 20 15:12:54 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.12/0.30  % SZS status Theorem for theBenchmark
% 0.12/0.30  % SZS output start Proof for theBenchmark
% 0.12/0.30  
% 0.12/0.30  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.12/0.30  cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: d1_tarski ( axiom ) converted to clauses:
% 0.12/0.30  cnf(d1_tarski-1, axiom, ( ( _u10 != singleton(_u12)) | ~in(_u6, _u10) | ( _u6 = _u12) )).
% 0.12/0.30  cnf(d1_tarski-2, axiom, ( ( _u10 != singleton(_u12)) | ( _u7 != _u12) | in(_u7, _u10) )).
% 0.12/0.30  cnf(d1_tarski-3, axiom, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ( skolem2(_u13, _u11) = _u13) )).
% 0.12/0.30  cnf(d1_tarski-4, axiom, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 0.12/0.30  cnf(d1_tarski-5, axiom, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ( skolem2(_u13, _u11) = _u13) )).
% 0.12/0.30  cnf(d1_tarski-6, axiom, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: d1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.30  cnf(d1_xboole_0-1, axiom, ( ( _u17 != empty_set) | ~in(_u14, _u17) )).
% 0.12/0.30  cnf(d1_xboole_0-2, axiom, ( in(skolem3(_u18), _u18) | ( _u18 = empty_set) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 0.12/0.30  cnf(dt_k1_tarski, axiom, $true).
% 0.12/0.30  
% 0.12/0.30  % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.30  cnf(dt_k1_xboole_0, axiom, $true).
% 0.12/0.30  
% 0.12/0.30  % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.30  cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: l1_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.30  cnf(l1_zfmisc_1-1, negated_conjecture, ( ( singleton(skolem4) = empty_set) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.30  cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 0.12/0.30  
% 0.12/0.30  % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.30  cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem6) )).
% 0.12/0.30  
% 0.12/0.30  % Problem matrix:
% 0.12/0.30  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.30  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.30  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.30  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.12/0.30  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.12/0.30  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.12/0.30  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.12/0.30  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.12/0.30  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.12/0.30  cnf(matrix-9, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.12/0.30  cnf(matrix-10, plain, ( ( _u10 != singleton(_u12)) | ~in(_u6, _u10) | ( _u6 = _u12) )).
% 0.12/0.30  cnf(matrix-11, plain, ( ( _u10 != singleton(_u12)) | ( _u7 != _u12) | in(_u7, _u10) )).
% 0.12/0.30  cnf(matrix-12, plain, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ( skolem2(_u13, _u11) = _u13) )).
% 0.12/0.30  cnf(matrix-13, plain, ( ( _u11 = singleton(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 0.12/0.30  cnf(matrix-14, plain, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ( skolem2(_u13, _u11) = _u13) )).
% 0.12/0.30  cnf(matrix-15, plain, ( ( _u11 = singleton(_u13)) | ( skolem1(_u13, _u11) != _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 0.12/0.30  cnf(matrix-16, plain, ( ( _u17 != empty_set) | ~in(_u14, _u17) )).
% 0.12/0.30  cnf(matrix-17, plain, ( in(skolem3(_u18), _u18) | ( _u18 = empty_set) )).
% 0.12/0.30  cnf(matrix-18, plain, ( empty(empty_set) )).
% 0.12/0.30  cnf(matrix-19, plain, ( ( singleton(skolem4) = empty_set) )).
% 0.12/0.30  cnf(matrix-20, plain, ( empty(skolem5) )).
% 0.12/0.30  cnf(matrix-21, plain, ( ~empty(skolem6) )).
% 0.12/0.30  
% 0.12/0.30  % Proof stack:
% 0.12/0.30  cnf(proof-stack, plain, 
% 0.12/0.30  proof_stack(
% 0.12/0.30  start(16), 
% 0.12/0.30  left_branch(0, 19, 0, 2), 
% 0.12/0.30  right_branch(2), 
% 0.12/0.30  left_branch(0, 11, 2, 3), 
% 0.12/0.30  left_branch(0, 0, 0, 4), 
% 0.12/0.30  right_branch(4), 
% 0.12/0.30  left_branch(0, 0, 0, 5), 
% 0.12/0.30  right_branch(5), 
% 0.12/0.30  right_branch(3)
% 0.12/0.30  )).
% 0.12/0.30  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------