TSTP Solution File: SYN328+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN328+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 : n002.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 14:42:28 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
% 0.11/0.12  % Problem  : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n002.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Mar 20 23:31:23 EDT 2024
% 0.12/0.34  % 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: church_46_12_3 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.37  cnf(church_46_12_3-1, negated_conjecture, ( ~_def0(_u2) | big_f(_u2) )).
% 0.12/0.37  cnf(church_46_12_3-2, negated_conjecture, ( ~big_f(_u2) | ~big_f(skolem1(_u2)) | big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-3, negated_conjecture, ( ~_def1(_u2) | big_g(_u2) )).
% 0.12/0.37  cnf(church_46_12_3-4, negated_conjecture, ( ~big_g(_u2) | ~big_f(skolem1(_u2)) | big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-5, negated_conjecture, ( ~_def2(_u2) | big_h(_u2) )).
% 0.12/0.37  cnf(church_46_12_3-6, negated_conjecture, ( ~big_h(_u2) | ~_def3(_u2) | big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-7, negated_conjecture, ( ~big_f(skolem2(_u2)) | ~big_g(skolem2(_u2)) | ~big_h(skolem2(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-8, negated_conjecture, ( _def0(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-9, negated_conjecture, ( _def0(_u2) | ~big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-10, negated_conjecture, ( _def1(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-11, negated_conjecture, ( _def1(_u2) | ~big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-12, negated_conjecture, ( _def2(_u2) | ~big_f(skolem1(_u2)) | big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-13, negated_conjecture, ( _def2(_u2) | ~big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-14, negated_conjecture, ( _def3(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(church_46_12_3-15, negated_conjecture, ( _def3(_u2) | ~big_g(skolem1(_u2)) )).
% 0.12/0.37  
% 0.12/0.37  % Problem matrix:
% 0.12/0.37  cnf(matrix-0, plain, ( ~_def0(_u2) | big_f(_u2) )).
% 0.12/0.37  cnf(matrix-1, plain, ( ~big_f(_u2) | ~big_f(skolem1(_u2)) | big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-2, plain, ( ~_def1(_u2) | big_g(_u2) )).
% 0.12/0.37  cnf(matrix-3, plain, ( ~big_g(_u2) | ~big_f(skolem1(_u2)) | big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-4, plain, ( ~_def2(_u2) | big_h(_u2) )).
% 0.12/0.37  cnf(matrix-5, plain, ( ~big_h(_u2) | ~_def3(_u2) | big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-6, plain, ( ~big_f(skolem2(_u2)) | ~big_g(skolem2(_u2)) | ~big_h(skolem2(_u2)) )).
% 0.12/0.37  cnf(matrix-7, plain, ( _def0(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-8, plain, ( _def0(_u2) | ~big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-9, plain, ( _def1(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-10, plain, ( _def1(_u2) | ~big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-11, plain, ( _def2(_u2) | ~big_f(skolem1(_u2)) | big_g(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-12, plain, ( _def2(_u2) | ~big_h(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-13, plain, ( _def3(_u2) | big_f(skolem1(_u2)) )).
% 0.12/0.37  cnf(matrix-14, plain, ( _def3(_u2) | ~big_g(skolem1(_u2)) )).
% 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(6), 
% 0.12/0.37  left_branch(0, 0, 1, 2), 
% 0.12/0.37  left_branch(0, 7, 0, 3), 
% 0.12/0.37  left_branch(0, 1, 0, 4), 
% 0.12/0.37  left_branch(0, 3, 0, 5), 
% 0.12/0.37  left_branch(0, 12, 1, 6), 
% 0.12/0.37  left_branch(0, 4, 0, 7), 
% 0.12/0.37  left_branch(0, 10, 1, 8), 
% 0.12/0.37  left_branch(0, 2, 0, 9), 
% 0.12/0.37  left_branch(0, 8, 1, 10), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 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, 0, 1, 7), 
% 0.12/0.37  left_branch(0, 8, 0, 8), 
% 0.12/0.37  left_branch(0, 11, 2, 9), 
% 0.12/0.37  left_branch(0, 4, 0, 10), 
% 0.12/0.37  lemmata(0, 0), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  left_branch(0, 7, 1, 11), 
% 0.12/0.37  reduction(0, 5), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  right_branch(5), 
% 0.12/0.37  left_branch(0, 13, 1, 6), 
% 0.12/0.37  left_branch(0, 5, 1, 7), 
% 0.12/0.37  left_branch(0, 5, 2, 8), 
% 0.12/0.37  left_branch(0, 4, 1, 9), 
% 0.12/0.37  left_branch(0, 11, 0, 10), 
% 0.12/0.37  left_branch(0, 8, 1, 11), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  reduction(0, 2), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  left_branch(0, 14, 0, 10), 
% 0.12/0.37  left_branch(0, 2, 1, 11), 
% 0.12/0.37  left_branch(0, 9, 0, 12), 
% 0.12/0.37  reduction(0, 3), 
% 0.12/0.37  right_branch(12), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  left_branch(0, 10, 1, 9), 
% 0.12/0.37  left_branch(0, 2, 0, 10), 
% 0.12/0.37  left_branch(0, 8, 1, 11), 
% 0.12/0.37  reduction(0, 1), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  right_branch(6), 
% 0.12/0.37  right_branch(4), 
% 0.12/0.37  right_branch(3), 
% 0.12/0.37  right_branch(2), 
% 0.12/0.37  left_branch(0, 4, 1, 3), 
% 0.12/0.37  left_branch(0, 12, 0, 4), 
% 0.12/0.37  left_branch(0, 4, 1, 5), 
% 0.12/0.37  left_branch(0, 11, 0, 6), 
% 0.12/0.37  left_branch(0, 3, 0, 7), 
% 0.12/0.37  left_branch(0, 12, 1, 8), 
% 0.12/0.37  left_branch(0, 4, 0, 9), 
% 0.12/0.37  left_branch(0, 12, 1, 10), 
% 0.12/0.37  reduction(0, 3), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  right_branch(8), 
% 0.12/0.37  left_branch(0, 0, 1, 9), 
% 0.12/0.37  left_branch(0, 8, 0, 10), 
% 0.12/0.37  left_branch(0, 11, 2, 11), 
% 0.12/0.37  left_branch(0, 4, 0, 12), 
% 0.12/0.37  lemmata(0, 1), 
% 0.12/0.37  right_branch(12), 
% 0.12/0.37  left_branch(0, 7, 1, 13), 
% 0.12/0.37  reduction(0, 6), 
% 0.12/0.37  right_branch(13), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 0.12/0.37  right_branch(7), 
% 0.12/0.37  left_branch(0, 0, 1, 8), 
% 0.12/0.37  left_branch(0, 8, 0, 9), 
% 0.12/0.37  left_branch(0, 11, 2, 10), 
% 0.12/0.37  left_branch(0, 4, 0, 11), 
% 0.12/0.37  left_branch(0, 12, 1, 12), 
% 0.12/0.37  reduction(0, 3), 
% 0.12/0.37  right_branch(12), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  left_branch(0, 9, 1, 12), 
% 0.12/0.37  left_branch(0, 2, 0, 13), 
% 0.12/0.37  lemmata(0, 1), 
% 0.12/0.37  right_branch(13), 
% 0.12/0.37  right_branch(12), 
% 0.12/0.37  right_branch(10), 
% 0.12/0.37  right_branch(9), 
% 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(4), 
% 0.12/0.37  right_branch(3), 
% 0.12/0.37  left_branch(0, 2, 1, 4), 
% 0.12/0.37  left_branch(0, 10, 0, 5), 
% 0.12/0.37  left_branch(0, 5, 2, 6), 
% 0.12/0.37  lemmata(0, 1), 
% 0.12/0.37  left_branch(0, 14, 0, 8), 
% 0.12/0.37  left_branch(0, 1, 2, 9), 
% 0.12/0.37  lemmata(0, 0), 
% 0.12/0.37  left_branch(0, 13, 1, 11), 
% 0.12/0.37  reduction(0, 3), 
% 0.12/0.37  right_branch(11), 
% 0.12/0.37  right_branch(9), 
% 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(4)
% 0.12/0.37  )).
% 0.12/0.37  % SZS output end Proof for theBenchmark
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