TSTP Solution File: SYN059+1 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : SYN059+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 : n026.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 14:41:41 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n026.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 23:20:34 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% 0.12/0.37  
% 0.12/0.37  % Formula: pel29_1 ( axiom ) converted to clauses:
% 0.12/0.37  cnf(pel29_1-1, axiom, ( big_f(skolem1) )).
% 0.12/0.37  
% 0.12/0.37  % Formula: pel29_2 ( axiom ) converted to clauses:
% 0.12/0.37  cnf(pel29_2-1, axiom, ( big_g(skolem2) )).
% 0.12/0.37  
% 0.12/0.37  % Formula: pel29 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.37  cnf(pel29-1, negated_conjecture, ( ~_def0(_u3, _u2) | ~_def4(_u7, _u6) )).
% 0.12/0.37  cnf(pel29-2, negated_conjecture, ( _def0(_u3, _u2) | ~big_f(_u2) | big_h(_u2) )).
% 0.12/0.37  cnf(pel29-3, negated_conjecture, ( _def0(_u3, _u2) | ~big_g(_u3) | big_j(_u3) )).
% 0.12/0.37  cnf(pel29-4, negated_conjecture, ( _def0(_u3, _u2) | big_f(skolem3) )).
% 0.12/0.37  cnf(pel29-5, negated_conjecture, ( _def0(_u3, _u2) | big_g(skolem4) )).
% 0.12/0.37  cnf(pel29-6, negated_conjecture, ( _def0(_u3, _u2) | ~big_h(skolem3) | ~big_j(skolem4) )).
% 0.12/0.37  cnf(pel29-7, negated_conjecture, ( _def4(_u7, _u6) | ~big_f(_u7) | ~big_g(_u6) | ~_def1(_u7, _u6) )).
% 0.12/0.37  cnf(pel29-8, negated_conjecture, ( _def4(_u7, _u6) | ~_def2 | ~_def3 )).
% 0.12/0.37  cnf(pel29-9, negated_conjecture, ( _def1(_u7, _u6) | big_h(_u7) )).
% 0.12/0.37  cnf(pel29-10, negated_conjecture, ( _def1(_u7, _u6) | big_j(_u6) )).
% 0.12/0.37  cnf(pel29-11, negated_conjecture, ( _def2 | big_f(skolem5) )).
% 0.12/0.37  cnf(pel29-12, negated_conjecture, ( _def2 | ~big_h(skolem5) )).
% 0.12/0.37  cnf(pel29-13, negated_conjecture, ( _def3 | big_g(skolem6) )).
% 0.12/0.37  cnf(pel29-14, negated_conjecture, ( _def3 | ~big_j(skolem6) )).
% 0.12/0.37  
% 0.12/0.37  % Problem matrix:
% 0.12/0.37  cnf(matrix-0, plain, ( big_f(skolem1) )).
% 0.12/0.37  cnf(matrix-1, plain, ( big_g(skolem2) )).
% 0.12/0.37  cnf(matrix-2, plain, ( ~_def0(_u3, _u2) | ~_def4(_u7, _u6) )).
% 0.12/0.37  cnf(matrix-3, plain, ( _def0(_u3, _u2) | ~big_f(_u2) | big_h(_u2) )).
% 0.12/0.37  cnf(matrix-4, plain, ( _def0(_u3, _u2) | ~big_g(_u3) | big_j(_u3) )).
% 0.12/0.37  cnf(matrix-5, plain, ( _def0(_u3, _u2) | big_f(skolem3) )).
% 0.12/0.37  cnf(matrix-6, plain, ( _def0(_u3, _u2) | big_g(skolem4) )).
% 0.12/0.37  cnf(matrix-7, plain, ( _def0(_u3, _u2) | ~big_h(skolem3) | ~big_j(skolem4) )).
% 0.12/0.37  cnf(matrix-8, plain, ( _def4(_u7, _u6) | ~big_f(_u7) | ~big_g(_u6) | ~_def1(_u7, _u6) )).
% 0.12/0.37  cnf(matrix-9, plain, ( _def4(_u7, _u6) | ~_def2 | ~_def3 )).
% 0.12/0.37  cnf(matrix-10, plain, ( _def1(_u7, _u6) | big_h(_u7) )).
% 0.12/0.37  cnf(matrix-11, plain, ( _def1(_u7, _u6) | big_j(_u6) )).
% 0.12/0.37  cnf(matrix-12, plain, ( _def2 | big_f(skolem5) )).
% 0.12/0.37  cnf(matrix-13, plain, ( _def2 | ~big_h(skolem5) )).
% 0.12/0.37  cnf(matrix-14, plain, ( _def3 | big_g(skolem6) )).
% 0.12/0.37  cnf(matrix-15, plain, ( _def3 | ~big_j(skolem6) )).
% 0.12/0.37  
% 0.12/0.37  % Proof stack:
% 0.12/0.37  cnf(proof-stack, plain, 
% 0.12/0.37  proof_stack(
% 0.12/0.37  start(2), 
% 0.12/0.37  left_branch(0, 7, 0, 2), 
% 0.12/0.37  left_branch(0, 11, 1, 3), 
% 0.12/0.37  left_branch(0, 8, 3, 4), 
% 0.12/0.37  left_branch(0, 2, 1, 5), 
% 0.12/0.37  left_branch(0, 6, 0, 6), 
% 0.12/0.37  left_branch(0, 4, 1, 7), 
% 0.12/0.37  reduction(0, 4), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  right_branch(5), 
% 0.12/0.37  left_branch(0, 6, 1, 6), 
% 0.12/0.37  reduction(0, 0), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  left_branch(0, 5, 1, 7), 
% 0.12/0.37  reduction(0, 0), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  right_branch(4), 
% 0.12/0.37  right_branch(3), 
% 0.12/0.37  left_branch(0, 10, 1, 4), 
% 0.12/0.37  left_branch(0, 8, 3, 5), 
% 0.12/0.37  left_branch(0, 2, 1, 6), 
% 0.12/0.37  left_branch(0, 5, 0, 7), 
% 0.12/0.37  left_branch(0, 3, 1, 8), 
% 0.12/0.37  reduction(0, 4), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  left_branch(0, 6, 1, 7), 
% 0.12/0.37  reduction(0, 0), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  left_branch(0, 5, 1, 8), 
% 0.12/0.37  reduction(0, 0), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  right_branch(5), 
% 0.12/0.37  right_branch(4), 
% 0.12/0.37  right_branch(2), 
% 0.12/0.37  left_branch(0, 9, 0, 3), 
% 0.12/0.37  left_branch(0, 15, 0, 4), 
% 0.12/0.37  left_branch(0, 11, 1, 5), 
% 0.12/0.37  left_branch(0, 8, 3, 6), 
% 0.12/0.37  reduction(0, 0), 
% 0.12/0.37  left_branch(0, 14, 1, 8), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  left_branch(0, 0, 0, 9), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  right_branch(5), 
% 0.12/0.37  right_branch(4), 
% 0.12/0.37  left_branch(0, 13, 0, 5), 
% 0.12/0.37  left_branch(0, 3, 2, 6), 
% 0.12/0.37  left_branch(0, 2, 0, 7), 
% 0.12/0.37  left_branch(0, 8, 0, 8), 
% 0.12/0.37  left_branch(0, 10, 0, 9), 
% 0.12/0.37  reduction(0, 2), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  left_branch(0, 1, 0, 10), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  left_branch(0, 12, 1, 11), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  left_branch(0, 12, 1, 8), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  right_branch(5), 
% 0.12/0.37  right_branch(3)
% 0.12/0.37  )).
% 0.12/0.37  % SZS output end Proof for theBenchmark
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