TSTP Solution File: LCL644+1.001 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : LCL644+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n031.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 14:20:44 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL644+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n031.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 18:49:03 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% 0.12/0.36  
% 0.12/0.36  % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36  cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u1) | ~p2(_u1) | ~_def0(_u1) | p1(_u1) | ~r1(skolem1, _u3) | p2(_u3) | ~p1(_u3) | ~_def1(_u3) | ~_def2(_u6, _u4) | ~_def3(_u8, _u9) | ~_def4(_u12, _u13) )).
% 0.12/0.36  cnf(main-2, negated_conjecture, ( r1(skolem1, skolem9) )).
% 0.12/0.36  cnf(main-3, negated_conjecture, ( ~p1(skolem9) )).
% 0.12/0.36  cnf(main-4, negated_conjecture, ( ~r1(skolem9, _u15) | p1(_u15) )).
% 0.12/0.36  cnf(main-5, negated_conjecture, ( p1(skolem9) )).
% 0.12/0.36  cnf(main-6, negated_conjecture, ( r1(skolem1, skolem10) )).
% 0.12/0.36  cnf(main-7, negated_conjecture, ( ~p1(skolem10) )).
% 0.12/0.36  cnf(main-8, negated_conjecture, ( ~r1(skolem10, _u17) | p1(_u17) )).
% 0.12/0.36  cnf(main-9, negated_conjecture, ( p1(skolem10) )).
% 0.12/0.36  cnf(main-10, negated_conjecture, ( _def0(_u1) | r1(_u1, skolem2(_u1)) )).
% 0.12/0.36  cnf(main-11, negated_conjecture, ( _def0(_u1) | ~p2(skolem2(_u1)) )).
% 0.12/0.36  cnf(main-12, negated_conjecture, ( _def1(_u3) | r1(_u3, skolem3(_u3)) )).
% 0.12/0.36  cnf(main-13, negated_conjecture, ( _def1(_u3) | ~p1(skolem3(_u3)) )).
% 0.12/0.36  cnf(main-14, negated_conjecture, ( _def2(_u6, _u4) | r1(skolem1, skolem4) )).
% 0.12/0.36  cnf(main-15, negated_conjecture, ( _def2(_u6, _u4) | r1(skolem4, skolem5) )).
% 0.12/0.36  cnf(main-16, negated_conjecture, ( _def2(_u6, _u4) | p2(skolem5) )).
% 0.12/0.36  cnf(main-17, negated_conjecture, ( _def2(_u6, _u4) | ~r1(skolem5, _u4) | p2(_u4) )).
% 0.12/0.36  cnf(main-18, negated_conjecture, ( _def2(_u6, _u4) | ~p1(skolem5) )).
% 0.12/0.36  cnf(main-19, negated_conjecture, ( _def2(_u6, _u4) | ~p2(skolem4) )).
% 0.12/0.36  cnf(main-20, negated_conjecture, ( _def2(_u6, _u4) | p1(skolem4) )).
% 0.12/0.36  cnf(main-21, negated_conjecture, ( _def2(_u6, _u4) | ~r1(skolem4, _u6) | p1(_u6) )).
% 0.12/0.36  cnf(main-22, negated_conjecture, ( _def2(_u6, _u4) | p1(skolem4) )).
% 0.12/0.36  cnf(main-23, negated_conjecture, ( _def3(_u8, _u9) | r1(skolem1, skolem6) )).
% 0.12/0.36  cnf(main-24, negated_conjecture, ( _def3(_u8, _u9) | p2(skolem6) )).
% 0.12/0.36  cnf(main-25, negated_conjecture, ( _def3(_u8, _u9) | ~r1(skolem6, _u8) | p2(_u8) )).
% 0.12/0.36  cnf(main-26, negated_conjecture, ( _def3(_u8, _u9) | ~p1(skolem6) )).
% 0.12/0.36  cnf(main-27, negated_conjecture, ( _def3(_u8, _u9) | r1(skolem6, skolem7) )).
% 0.12/0.36  cnf(main-28, negated_conjecture, ( _def3(_u8, _u9) | ~p2(skolem7) )).
% 0.12/0.36  cnf(main-29, negated_conjecture, ( _def3(_u8, _u9) | p1(skolem7) )).
% 0.12/0.36  cnf(main-30, negated_conjecture, ( _def3(_u8, _u9) | ~r1(skolem7, _u9) | p1(_u9) )).
% 0.12/0.36  cnf(main-31, negated_conjecture, ( _def3(_u8, _u9) | p1(skolem7) )).
% 0.12/0.36  cnf(main-32, negated_conjecture, ( _def4(_u12, _u13) | r1(skolem1, skolem8) )).
% 0.12/0.36  cnf(main-33, negated_conjecture, ( _def4(_u12, _u13) | p2(skolem8) )).
% 0.12/0.36  cnf(main-34, negated_conjecture, ( _def4(_u12, _u13) | ~r1(skolem8, _u12) | p2(_u12) )).
% 0.12/0.36  cnf(main-35, negated_conjecture, ( _def4(_u12, _u13) | ~p1(skolem8) )).
% 0.12/0.36  cnf(main-36, negated_conjecture, ( _def4(_u12, _u13) | ~p2(skolem8) )).
% 0.12/0.36  cnf(main-37, negated_conjecture, ( _def4(_u12, _u13) | p1(skolem8) )).
% 0.12/0.36  cnf(main-38, negated_conjecture, ( _def4(_u12, _u13) | ~r1(skolem8, _u13) | p1(_u13) )).
% 0.12/0.36  cnf(main-39, negated_conjecture, ( _def4(_u12, _u13) | p1(skolem8) )).
% 0.12/0.36  
% 0.12/0.36  % Problem matrix:
% 0.12/0.36  cnf(matrix-0, plain, ( ~r1(skolem1, _u1) | ~p2(_u1) | ~_def0(_u1) | p1(_u1) | ~r1(skolem1, _u3) | p2(_u3) | ~p1(_u3) | ~_def1(_u3) | ~_def2(_u6, _u4) | ~_def3(_u8, _u9) | ~_def4(_u12, _u13) )).
% 0.12/0.36  cnf(matrix-1, plain, ( r1(skolem1, skolem9) )).
% 0.12/0.36  cnf(matrix-2, plain, ( ~p1(skolem9) )).
% 0.12/0.36  cnf(matrix-3, plain, ( ~r1(skolem9, _u15) | p1(_u15) )).
% 0.12/0.36  cnf(matrix-4, plain, ( p1(skolem9) )).
% 0.12/0.36  cnf(matrix-5, plain, ( r1(skolem1, skolem10) )).
% 0.12/0.36  cnf(matrix-6, plain, ( ~p1(skolem10) )).
% 0.12/0.36  cnf(matrix-7, plain, ( ~r1(skolem10, _u17) | p1(_u17) )).
% 0.12/0.36  cnf(matrix-8, plain, ( p1(skolem10) )).
% 0.12/0.36  cnf(matrix-9, plain, ( _def0(_u1) | r1(_u1, skolem2(_u1)) )).
% 0.12/0.36  cnf(matrix-10, plain, ( _def0(_u1) | ~p2(skolem2(_u1)) )).
% 0.12/0.36  cnf(matrix-11, plain, ( _def1(_u3) | r1(_u3, skolem3(_u3)) )).
% 0.12/0.36  cnf(matrix-12, plain, ( _def1(_u3) | ~p1(skolem3(_u3)) )).
% 0.12/0.36  cnf(matrix-13, plain, ( _def2(_u6, _u4) | r1(skolem1, skolem4) )).
% 0.12/0.36  cnf(matrix-14, plain, ( _def2(_u6, _u4) | r1(skolem4, skolem5) )).
% 0.12/0.36  cnf(matrix-15, plain, ( _def2(_u6, _u4) | p2(skolem5) )).
% 0.12/0.36  cnf(matrix-16, plain, ( _def2(_u6, _u4) | ~r1(skolem5, _u4) | p2(_u4) )).
% 0.12/0.36  cnf(matrix-17, plain, ( _def2(_u6, _u4) | ~p1(skolem5) )).
% 0.12/0.36  cnf(matrix-18, plain, ( _def2(_u6, _u4) | ~p2(skolem4) )).
% 0.12/0.36  cnf(matrix-19, plain, ( _def2(_u6, _u4) | p1(skolem4) )).
% 0.12/0.36  cnf(matrix-20, plain, ( _def2(_u6, _u4) | ~r1(skolem4, _u6) | p1(_u6) )).
% 0.12/0.36  cnf(matrix-21, plain, ( _def2(_u6, _u4) | p1(skolem4) )).
% 0.12/0.36  cnf(matrix-22, plain, ( _def3(_u8, _u9) | r1(skolem1, skolem6) )).
% 0.12/0.36  cnf(matrix-23, plain, ( _def3(_u8, _u9) | p2(skolem6) )).
% 0.12/0.36  cnf(matrix-24, plain, ( _def3(_u8, _u9) | ~r1(skolem6, _u8) | p2(_u8) )).
% 0.12/0.36  cnf(matrix-25, plain, ( _def3(_u8, _u9) | ~p1(skolem6) )).
% 0.12/0.36  cnf(matrix-26, plain, ( _def3(_u8, _u9) | r1(skolem6, skolem7) )).
% 0.12/0.36  cnf(matrix-27, plain, ( _def3(_u8, _u9) | ~p2(skolem7) )).
% 0.12/0.36  cnf(matrix-28, plain, ( _def3(_u8, _u9) | p1(skolem7) )).
% 0.12/0.36  cnf(matrix-29, plain, ( _def3(_u8, _u9) | ~r1(skolem7, _u9) | p1(_u9) )).
% 0.12/0.36  cnf(matrix-30, plain, ( _def3(_u8, _u9) | p1(skolem7) )).
% 0.12/0.36  cnf(matrix-31, plain, ( _def4(_u12, _u13) | r1(skolem1, skolem8) )).
% 0.12/0.36  cnf(matrix-32, plain, ( _def4(_u12, _u13) | p2(skolem8) )).
% 0.12/0.36  cnf(matrix-33, plain, ( _def4(_u12, _u13) | ~r1(skolem8, _u12) | p2(_u12) )).
% 0.12/0.36  cnf(matrix-34, plain, ( _def4(_u12, _u13) | ~p1(skolem8) )).
% 0.12/0.36  cnf(matrix-35, plain, ( _def4(_u12, _u13) | ~p2(skolem8) )).
% 0.12/0.36  cnf(matrix-36, plain, ( _def4(_u12, _u13) | p1(skolem8) )).
% 0.12/0.36  cnf(matrix-37, plain, ( _def4(_u12, _u13) | ~r1(skolem8, _u13) | p1(_u13) )).
% 0.12/0.36  cnf(matrix-38, plain, ( _def4(_u12, _u13) | p1(skolem8) )).
% 0.12/0.36  
% 0.12/0.36  % Proof stack:
% 0.12/0.36  cnf(proof-stack, plain, 
% 0.12/0.36  proof_stack(
% 0.12/0.36  start(2), 
% 0.12/0.36  left_branch(0, 4, 0, 2), 
% 0.12/0.36  right_branch(2)
% 0.12/0.36  )).
% 0.12/0.36  % SZS output end Proof for theBenchmark
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