TSTP Solution File: SYN966+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n006.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 14:43:51 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n006.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 : Wed Mar 20 22:45:14 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% 0.13/0.35  
% 0.13/0.35  % Formula: prove_this ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.35  cnf(prove_this-1, negated_conjecture, ( ~eq(_u3, _u2) | ~_def0(_u3, _u0, _u2) )).
% 0.13/0.35  cnf(prove_this-2, negated_conjecture, ( ~_def1(_u3, _u2) | ~_def2(_u3, _u2) | eq(_u3, _u2) )).
% 0.13/0.35  cnf(prove_this-3, negated_conjecture, ( eq(skolem2, skolem3) )).
% 0.13/0.35  cnf(prove_this-4, negated_conjecture, ( ~eq(skolem3, skolem2) )).
% 0.13/0.35  cnf(prove_this-5, negated_conjecture, ( _def0(_u3, _u0, _u2) | ~a_member_of(_u0, _u3) | a_member_of(_u0, _u2) )).
% 0.13/0.35  cnf(prove_this-6, negated_conjecture, ( _def0(_u3, _u0, _u2) | ~a_member_of(_u0, _u2) | a_member_of(_u0, _u3) )).
% 0.13/0.35  cnf(prove_this-7, negated_conjecture, ( _def1(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.13/0.35  cnf(prove_this-8, negated_conjecture, ( _def1(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.13/0.35  cnf(prove_this-9, negated_conjecture, ( _def2(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.13/0.35  cnf(prove_this-10, negated_conjecture, ( _def2(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.13/0.35  
% 0.13/0.35  % Problem matrix:
% 0.13/0.35  cnf(matrix-0, plain, ( ~eq(_u3, _u2) | ~_def0(_u3, _u0, _u2) )).
% 0.13/0.35  cnf(matrix-1, plain, ( ~_def1(_u3, _u2) | ~_def2(_u3, _u2) | eq(_u3, _u2) )).
% 0.13/0.35  cnf(matrix-2, plain, ( eq(skolem2, skolem3) )).
% 0.13/0.35  cnf(matrix-3, plain, ( ~eq(skolem3, skolem2) )).
% 0.13/0.35  cnf(matrix-4, plain, ( _def0(_u3, _u0, _u2) | ~a_member_of(_u0, _u3) | a_member_of(_u0, _u2) )).
% 0.13/0.35  cnf(matrix-5, plain, ( _def0(_u3, _u0, _u2) | ~a_member_of(_u0, _u2) | a_member_of(_u0, _u3) )).
% 0.13/0.35  cnf(matrix-6, plain, ( _def1(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.13/0.35  cnf(matrix-7, plain, ( _def1(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.13/0.35  cnf(matrix-8, plain, ( _def2(_u3, _u2) | a_member_of(skolem1(_u3, _u2), _u2) )).
% 0.13/0.35  cnf(matrix-9, plain, ( _def2(_u3, _u2) | ~a_member_of(skolem1(_u3, _u2), _u3) )).
% 0.13/0.35  
% 0.13/0.35  % Proof stack:
% 0.13/0.35  cnf(proof-stack, plain, 
% 0.13/0.35  proof_stack(
% 0.13/0.35  start(3), 
% 0.13/0.35  left_branch(0, 1, 2, 2), 
% 0.13/0.35  left_branch(0, 7, 0, 3), 
% 0.13/0.35  left_branch(0, 5, 2, 4), 
% 0.13/0.35  left_branch(0, 0, 1, 5), 
% 0.13/0.35  left_branch(0, 2, 0, 6), 
% 0.13/0.35  right_branch(6), 
% 0.13/0.35  right_branch(5), 
% 0.13/0.35  left_branch(0, 6, 1, 6), 
% 0.13/0.35  reduction(0, 1), 
% 0.13/0.35  right_branch(6), 
% 0.13/0.35  right_branch(4), 
% 0.13/0.35  right_branch(3), 
% 0.13/0.35  left_branch(0, 9, 0, 4), 
% 0.13/0.35  left_branch(0, 4, 2, 5), 
% 0.13/0.35  left_branch(0, 0, 1, 6), 
% 0.13/0.35  left_branch(0, 2, 0, 7), 
% 0.13/0.35  right_branch(7), 
% 0.13/0.35  right_branch(6), 
% 0.13/0.35  left_branch(0, 8, 1, 7), 
% 0.13/0.35  reduction(0, 1), 
% 0.13/0.35  right_branch(7), 
% 0.13/0.35  right_branch(5), 
% 0.13/0.35  right_branch(4), 
% 0.13/0.35  right_branch(2)
% 0.13/0.35  )).
% 0.13/0.35  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------