TSTP Solution File: LCL636+1.001 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : LCL636+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 : 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 : Mon Mar 25 14:20:41 EDT 2024

% Result   : Theorem 0.20s 0.46s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 18:43:18 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  % SZS status Theorem for theBenchmark
% 0.20/0.46  % SZS output start Proof for theBenchmark
% 0.20/0.46  
% 0.20/0.46  % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.20/0.46  cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u0) | p2(_u0) )).
% 0.20/0.46  cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u7) | ~_def3(_u3, _u7, _u4, _u5, _u6) )).
% 0.20/0.46  cnf(main-3, negated_conjecture, ( ~_def4 | p101(skolem1) | ~p100(skolem1) )).
% 0.20/0.46  cnf(main-4, negated_conjecture, ( ~_def5(_u10, _u11) | ~p101(skolem1) )).
% 0.20/0.46  cnf(main-5, negated_conjecture, ( ~_def6(_u12, _u13) | ~p100(skolem1) )).
% 0.20/0.46  cnf(main-6, negated_conjecture, ( p101(skolem1) | ~p102(skolem1) )).
% 0.20/0.46  cnf(main-7, negated_conjecture, ( p100(skolem1) | ~p101(skolem1) )).
% 0.20/0.46  cnf(main-8, negated_conjecture, ( ~p101(skolem1) )).
% 0.20/0.46  cnf(main-9, negated_conjecture, ( p100(skolem1) )).
% 0.20/0.46  cnf(main-10, negated_conjecture, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def0(_u7) | p101(_u7) | ~p100(_u7) )).
% 0.20/0.46  cnf(main-11, negated_conjecture, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def1(_u3, _u7, _u4) | ~p101(_u7) )).
% 0.20/0.46  cnf(main-12, negated_conjecture, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def2(_u7, _u5, _u6) | ~p100(_u7) )).
% 0.20/0.46  cnf(main-13, negated_conjecture, ( _def3(_u3, _u7, _u4, _u5, _u6) | p101(_u7) | ~p102(_u7) )).
% 0.20/0.46  cnf(main-14, negated_conjecture, ( _def3(_u3, _u7, _u4, _u5, _u6) | p100(_u7) | ~p101(_u7) )).
% 0.20/0.46  cnf(main-15, negated_conjecture, ( _def0(_u7) | r1(_u7, skolem2(_u7)) )).
% 0.20/0.46  cnf(main-16, negated_conjecture, ( _def0(_u7) | ~p2(skolem2(_u7)) )).
% 0.20/0.46  cnf(main-17, negated_conjecture, ( _def0(_u7) | ~p102(skolem2(_u7)) )).
% 0.20/0.46  cnf(main-18, negated_conjecture, ( _def0(_u7) | p101(skolem2(_u7)) )).
% 0.20/0.46  cnf(main-19, negated_conjecture, ( _def0(_u7) | r1(_u7, skolem3(_u7)) )).
% 0.20/0.46  cnf(main-20, negated_conjecture, ( _def0(_u7) | p2(skolem3(_u7)) )).
% 0.20/0.46  cnf(main-21, negated_conjecture, ( _def0(_u7) | ~p102(skolem3(_u7)) )).
% 0.20/0.46  cnf(main-22, negated_conjecture, ( _def0(_u7) | p101(skolem3(_u7)) )).
% 0.20/0.46  cnf(main-23, negated_conjecture, ( _def1(_u3, _u7, _u4) | ~r1(_u7, _u3) | ~p2(_u3) | ~p101(_u3) | p2(_u7) )).
% 0.20/0.46  cnf(main-24, negated_conjecture, ( _def1(_u3, _u7, _u4) | ~r1(_u7, _u4) | p2(_u4) | ~p101(_u4) | ~p2(_u7) )).
% 0.20/0.46  cnf(main-25, negated_conjecture, ( _def2(_u7, _u5, _u6) | ~r1(_u7, _u5) | ~p1(_u5) | ~p100(_u5) | p1(_u7) )).
% 0.20/0.46  cnf(main-26, negated_conjecture, ( _def2(_u7, _u5, _u6) | ~r1(_u7, _u6) | p1(_u6) | ~p100(_u6) | ~p1(_u7) )).
% 0.20/0.46  cnf(main-27, negated_conjecture, ( _def4 | r1(skolem1, skolem4) )).
% 0.20/0.46  cnf(main-28, negated_conjecture, ( _def4 | ~p2(skolem4) )).
% 0.20/0.46  cnf(main-29, negated_conjecture, ( _def4 | ~p102(skolem4) )).
% 0.20/0.46  cnf(main-30, negated_conjecture, ( _def4 | p101(skolem4) )).
% 0.20/0.46  cnf(main-31, negated_conjecture, ( _def4 | r1(skolem1, skolem5) )).
% 0.20/0.46  cnf(main-32, negated_conjecture, ( _def4 | p2(skolem5) )).
% 0.20/0.46  cnf(main-33, negated_conjecture, ( _def4 | ~p102(skolem5) )).
% 0.20/0.46  cnf(main-34, negated_conjecture, ( _def4 | p101(skolem5) )).
% 0.20/0.46  cnf(main-35, negated_conjecture, ( _def5(_u10, _u11) | ~r1(skolem1, _u10) | ~p2(_u10) | ~p101(_u10) | p2(skolem1) )).
% 0.20/0.46  cnf(main-36, negated_conjecture, ( _def5(_u10, _u11) | ~r1(skolem1, _u11) | p2(_u11) | ~p101(_u11) | ~p2(skolem1) )).
% 0.20/0.46  cnf(main-37, negated_conjecture, ( _def6(_u12, _u13) | ~r1(skolem1, _u12) | ~p1(_u12) | ~p100(_u12) | p1(skolem1) )).
% 0.20/0.46  cnf(main-38, negated_conjecture, ( _def6(_u12, _u13) | ~r1(skolem1, _u13) | p1(_u13) | ~p100(_u13) | ~p1(skolem1) )).
% 0.20/0.46  
% 0.20/0.46  % Problem matrix:
% 0.20/0.46  cnf(matrix-0, plain, ( ~r1(skolem1, _u0) | p2(_u0) )).
% 0.20/0.46  cnf(matrix-1, plain, ( ~r1(skolem1, _u7) | ~_def3(_u3, _u7, _u4, _u5, _u6) )).
% 0.20/0.46  cnf(matrix-2, plain, ( ~_def4 | p101(skolem1) | ~p100(skolem1) )).
% 0.20/0.46  cnf(matrix-3, plain, ( ~_def5(_u10, _u11) | ~p101(skolem1) )).
% 0.20/0.46  cnf(matrix-4, plain, ( ~_def6(_u12, _u13) | ~p100(skolem1) )).
% 0.20/0.46  cnf(matrix-5, plain, ( p101(skolem1) | ~p102(skolem1) )).
% 0.20/0.46  cnf(matrix-6, plain, ( p100(skolem1) | ~p101(skolem1) )).
% 0.20/0.46  cnf(matrix-7, plain, ( ~p101(skolem1) )).
% 0.20/0.46  cnf(matrix-8, plain, ( p100(skolem1) )).
% 0.20/0.46  cnf(matrix-9, plain, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def0(_u7) | p101(_u7) | ~p100(_u7) )).
% 0.20/0.46  cnf(matrix-10, plain, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def1(_u3, _u7, _u4) | ~p101(_u7) )).
% 0.20/0.46  cnf(matrix-11, plain, ( _def3(_u3, _u7, _u4, _u5, _u6) | ~_def2(_u7, _u5, _u6) | ~p100(_u7) )).
% 0.20/0.46  cnf(matrix-12, plain, ( _def3(_u3, _u7, _u4, _u5, _u6) | p101(_u7) | ~p102(_u7) )).
% 0.20/0.46  cnf(matrix-13, plain, ( _def3(_u3, _u7, _u4, _u5, _u6) | p100(_u7) | ~p101(_u7) )).
% 0.20/0.46  cnf(matrix-14, plain, ( _def0(_u7) | r1(_u7, skolem2(_u7)) )).
% 0.20/0.46  cnf(matrix-15, plain, ( _def0(_u7) | ~p2(skolem2(_u7)) )).
% 0.20/0.46  cnf(matrix-16, plain, ( _def0(_u7) | ~p102(skolem2(_u7)) )).
% 0.20/0.46  cnf(matrix-17, plain, ( _def0(_u7) | p101(skolem2(_u7)) )).
% 0.20/0.46  cnf(matrix-18, plain, ( _def0(_u7) | r1(_u7, skolem3(_u7)) )).
% 0.20/0.46  cnf(matrix-19, plain, ( _def0(_u7) | p2(skolem3(_u7)) )).
% 0.20/0.46  cnf(matrix-20, plain, ( _def0(_u7) | ~p102(skolem3(_u7)) )).
% 0.20/0.46  cnf(matrix-21, plain, ( _def0(_u7) | p101(skolem3(_u7)) )).
% 0.20/0.46  cnf(matrix-22, plain, ( _def1(_u3, _u7, _u4) | ~r1(_u7, _u3) | ~p2(_u3) | ~p101(_u3) | p2(_u7) )).
% 0.20/0.46  cnf(matrix-23, plain, ( _def1(_u3, _u7, _u4) | ~r1(_u7, _u4) | p2(_u4) | ~p101(_u4) | ~p2(_u7) )).
% 0.20/0.46  cnf(matrix-24, plain, ( _def2(_u7, _u5, _u6) | ~r1(_u7, _u5) | ~p1(_u5) | ~p100(_u5) | p1(_u7) )).
% 0.20/0.46  cnf(matrix-25, plain, ( _def2(_u7, _u5, _u6) | ~r1(_u7, _u6) | p1(_u6) | ~p100(_u6) | ~p1(_u7) )).
% 0.20/0.46  cnf(matrix-26, plain, ( _def4 | r1(skolem1, skolem4) )).
% 0.20/0.46  cnf(matrix-27, plain, ( _def4 | ~p2(skolem4) )).
% 0.20/0.46  cnf(matrix-28, plain, ( _def4 | ~p102(skolem4) )).
% 0.20/0.46  cnf(matrix-29, plain, ( _def4 | p101(skolem4) )).
% 0.20/0.46  cnf(matrix-30, plain, ( _def4 | r1(skolem1, skolem5) )).
% 0.20/0.46  cnf(matrix-31, plain, ( _def4 | p2(skolem5) )).
% 0.20/0.46  cnf(matrix-32, plain, ( _def4 | ~p102(skolem5) )).
% 0.20/0.46  cnf(matrix-33, plain, ( _def4 | p101(skolem5) )).
% 0.20/0.46  cnf(matrix-34, plain, ( _def5(_u10, _u11) | ~r1(skolem1, _u10) | ~p2(_u10) | ~p101(_u10) | p2(skolem1) )).
% 0.20/0.46  cnf(matrix-35, plain, ( _def5(_u10, _u11) | ~r1(skolem1, _u11) | p2(_u11) | ~p101(_u11) | ~p2(skolem1) )).
% 0.20/0.46  cnf(matrix-36, plain, ( _def6(_u12, _u13) | ~r1(skolem1, _u12) | ~p1(_u12) | ~p100(_u12) | p1(skolem1) )).
% 0.20/0.46  cnf(matrix-37, plain, ( _def6(_u12, _u13) | ~r1(skolem1, _u13) | p1(_u13) | ~p100(_u13) | ~p1(skolem1) )).
% 0.20/0.46  
% 0.20/0.46  % Proof stack:
% 0.20/0.46  cnf(proof-stack, plain, 
% 0.20/0.46  proof_stack(
% 0.20/0.46  start(7), 
% 0.20/0.46  left_branch(0, 2, 1, 2), 
% 0.20/0.46  left_branch(0, 27, 0, 3), 
% 0.20/0.46  left_branch(0, 0, 1, 4), 
% 0.20/0.46  left_branch(0, 26, 1, 5), 
% 0.20/0.46  reduction(0, 1), 
% 0.20/0.46  right_branch(5), 
% 0.20/0.46  right_branch(4), 
% 0.20/0.46  right_branch(3), 
% 0.20/0.46  left_branch(0, 8, 0, 4), 
% 0.20/0.46  right_branch(4), 
% 0.20/0.46  right_branch(2)
% 0.20/0.46  )).
% 0.20/0.46  % SZS output end Proof for theBenchmark
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