TSTP Solution File: SEU161+1 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : SEU161+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 : n021.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 : Wed Mar  6 09:20:24 EST 2024

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Mar  3 10:24:33 EST 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  
% 0.12/0.34  % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.34  cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u1, _u0) = set_union2(_u0, _u1)) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.34  cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u3, _u3) = _u3) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.12/0.34  cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u5, _u4) | ~in(_u4, _u5) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 0.12/0.34  
% 0.12/0.34  % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.34  
% 0.12/0.34  % Formula: t46_zfmisc_1 ( conjecture ) converted to clauses:
% 0.12/0.34  cnf(t46_zfmisc_1-1, negated_conjecture, ( in(skolem1, skolem2) )).
% 0.12/0.34  cnf(t46_zfmisc_1-2, negated_conjecture, ( ( set_union2(singleton(skolem1), skolem2) != skolem2) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: l23_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.34  cnf(l23_zfmisc_1-1, axiom, ( ~in(_u9, _u8) | ( set_union2(singleton(_u9), _u8) = _u8) )).
% 0.12/0.34  
% 0.12/0.34  % Problem matrix:
% 0.12/0.34  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.34  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.34  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.34  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 0.12/0.34  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.12/0.34  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.12/0.34  cnf(matrix-6, plain, ( ( set_union2(_u1, _u0) = set_union2(_u0, _u1)) )).
% 0.12/0.34  cnf(matrix-7, plain, ( ( set_union2(_u3, _u3) = _u3) )).
% 0.12/0.34  cnf(matrix-8, plain, ( ~in(_u5, _u4) | ~in(_u4, _u5) )).
% 0.12/0.34  cnf(matrix-9, plain, ( in(skolem1, skolem2) )).
% 0.12/0.34  cnf(matrix-10, plain, ( ( set_union2(singleton(skolem1), skolem2) != skolem2) )).
% 0.12/0.34  cnf(matrix-11, plain, ( ~in(_u9, _u8) | ( set_union2(singleton(_u9), _u8) = _u8) )).
% 0.12/0.34  
% 0.12/0.34  % Proof stack:
% 0.12/0.34  cnf(proof-stack, plain, 
% 0.12/0.34  proof_stack(
% 0.12/0.34  start(10), 
% 0.12/0.34  left_branch(0, 11, 1, 2), 
% 0.12/0.34  left_branch(0, 9, 0, 3), 
% 0.12/0.34  right_branch(3), 
% 0.12/0.34  right_branch(2)
% 0.12/0.34  )).
% 0.12/0.34  % SZS output end Proof for theBenchmark
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