TSTP Solution File: SYN077+1 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : SYN077+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 : n013.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 09:27:00 EST 2024

% Result   : Theorem 49.33s 49.50s
% Output   : Proof 49.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Sun Mar  3 21:08:03 EST 2024
% 0.13/0.34  % CPUTime  : 
% 49.33/49.50  % SZS status Theorem for theBenchmark
% 49.33/49.50  % SZS output start Proof for theBenchmark
% 49.33/49.50  
% 49.33/49.50  % Formula: pel54_1 ( axiom ) converted to clauses:
% 49.33/49.50  cnf(pel54_1-1, axiom, ( ~big_f(_u3, skolem1(_u2)) | ( _u3 = _u2) )).
% 49.33/49.50  cnf(pel54_1-2, axiom, ( ( _u4 != _u2) | big_f(_u4, skolem1(_u2)) )).
% 49.33/49.50  
% 49.33/49.50  % Formula: pel54 ( conjecture ) converted to clauses:
% 49.33/49.50  cnf(pel54-1, negated_conjecture, ( ~big_f(_u13, skolem2) | ~big_f(_u13, _u7) | big_f(skolem3(_u13, _u7), _u7) )).
% 49.33/49.50  cnf(pel54-2, negated_conjecture, ( ~big_f(_u13, skolem2) | ~big_f(_u13, _u7) | ~big_f(_u5, _u7) | ~big_f(_u5, skolem3(_u13, _u7)) )).
% 49.33/49.50  cnf(pel54-3, negated_conjecture, ( big_f(_u14, skolem2) | big_f(_u14, skolem4(_u14)) )).
% 49.33/49.50  cnf(pel54-4, negated_conjecture, ( big_f(_u14, skolem2) | ~big_f(_u9, skolem4(_u14)) | big_f(skolem5(_u14, _u9), skolem4(_u14)) )).
% 49.33/49.50  cnf(pel54-5, negated_conjecture, ( big_f(_u14, skolem2) | ~big_f(_u9, skolem4(_u14)) | big_f(skolem5(_u14, _u9), _u9) )).
% 49.33/49.50  
% 49.33/49.50  % Problem matrix:
% 49.33/49.50  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 49.33/49.50  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 49.33/49.50  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 49.33/49.50  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 49.33/49.50  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 49.33/49.50  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 49.33/49.50  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 49.33/49.50  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~big_f(__eqx_0, __eqx_1) | big_f(__eqy_0, __eqy_1) )).
% 49.33/49.50  cnf(matrix-8, plain, ( ~big_f(_u3, skolem1(_u2)) | ( _u3 = _u2) )).
% 49.33/49.50  cnf(matrix-9, plain, ( ( _u4 != _u2) | big_f(_u4, skolem1(_u2)) )).
% 49.33/49.50  cnf(matrix-10, plain, ( ~big_f(_u13, skolem2) | ~big_f(_u13, _u7) | big_f(skolem3(_u13, _u7), _u7) )).
% 49.33/49.50  cnf(matrix-11, plain, ( ~big_f(_u13, skolem2) | ~big_f(_u13, _u7) | ~big_f(_u5, _u7) | ~big_f(_u5, skolem3(_u13, _u7)) )).
% 49.33/49.50  cnf(matrix-12, plain, ( big_f(_u14, skolem2) | big_f(_u14, skolem4(_u14)) )).
% 49.33/49.50  cnf(matrix-13, plain, ( big_f(_u14, skolem2) | ~big_f(_u9, skolem4(_u14)) | big_f(skolem5(_u14, _u9), skolem4(_u14)) )).
% 49.33/49.50  cnf(matrix-14, plain, ( big_f(_u14, skolem2) | ~big_f(_u9, skolem4(_u14)) | big_f(skolem5(_u14, _u9), _u9) )).
% 49.33/49.50  
% 49.33/49.50  % Proof stack:
% 49.33/49.50  cnf(proof-stack, plain, 
% 49.33/49.50  proof_stack(
% 49.33/49.50  start(12), 
% 49.33/49.50  left_branch(0, 10, 0, 2), 
% 49.33/49.50  left_branch(0, 8, 0, 3), 
% 49.33/49.50  left_branch(0, 1, 0, 4), 
% 49.33/49.50  left_branch(0, 7, 1, 5), 
% 49.33/49.50  reduction(0, 3), 
% 49.33/49.50  reduction(0, 0), 
% 49.33/49.50  left_branch(0, 11, 3, 8), 
% 49.33/49.50  lemmata(0, 1), 
% 49.33/49.50  reduction(0, 1), 
% 49.33/49.50  left_branch(0, 9, 1, 11), 
% 49.33/49.50  left_branch(0, 0, 0, 12), 
% 49.33/49.50  right_branch(12), 
% 49.33/49.50  right_branch(11), 
% 49.33/49.50  right_branch(8), 
% 49.33/49.50  right_branch(5), 
% 49.33/49.50  right_branch(4), 
% 49.33/49.50  right_branch(3), 
% 49.33/49.50  left_branch(0, 9, 1, 4), 
% 49.33/49.50  left_branch(0, 0, 0, 5), 
% 49.33/49.50  right_branch(5), 
% 49.33/49.50  right_branch(4), 
% 49.33/49.50  right_branch(2), 
% 49.33/49.50  left_branch(0, 13, 1, 3), 
% 49.33/49.50  lemmata(0, 0), 
% 49.33/49.50  left_branch(0, 10, 1, 5), 
% 49.33/49.50  left_branch(0, 14, 2, 6), 
% 49.33/49.50  lemmata(0, 0), 
% 49.33/49.50  reduction(0, 0), 
% 49.33/49.50  right_branch(6), 
% 49.33/49.50  left_branch(0, 14, 1, 7), 
% 49.33/49.50  lemmata(0, 0), 
% 49.33/49.50  left_branch(0, 11, 3, 9), 
% 49.33/49.50  lemmata(0, 1), 
% 49.33/49.50  left_branch(0, 13, 2, 11), 
% 49.33/49.50  lemmata(0, 0), 
% 49.33/49.50  reduction(0, 2), 
% 49.33/49.50  right_branch(11), 
% 49.33/49.50  reduction(0, 1), 
% 49.33/49.50  right_branch(9), 
% 49.33/49.50  right_branch(7), 
% 49.33/49.50  right_branch(5), 
% 49.33/49.50  right_branch(3)
% 49.33/49.50  )).
% 49.33/49.50  % SZS output end Proof for theBenchmark
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