TSTP Solution File: LCL682+1.001 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : LCL682+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 14:21:01 EDT 2024

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL682+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % 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 18:21:32 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  
% 0.12/0.34  % Formula: reflexivity ( axiom ) converted to clauses:
% 0.12/0.34  cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: transitivity ( axiom ) converted to clauses:
% 0.12/0.34  cnf(transitivity-1, axiom, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 0.12/0.34  
% 0.12/0.34  % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.34  cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u8) | ~_def0(_u6, _u8, _u4, _u5, _u7) )).
% 0.12/0.34  cnf(main-2, negated_conjecture, ( r1(skolem1, skolem2) )).
% 0.12/0.34  cnf(main-3, negated_conjecture, ( r1(skolem2, skolem3) )).
% 0.12/0.34  cnf(main-4, negated_conjecture, ( ~p15(skolem3) )).
% 0.12/0.34  cnf(main-5, negated_conjecture, ( r1(skolem1, skolem4) )).
% 0.12/0.34  cnf(main-6, negated_conjecture, ( r1(skolem4, skolem5) )).
% 0.12/0.34  cnf(main-7, negated_conjecture, ( ~p13(skolem5) )).
% 0.12/0.34  cnf(main-8, negated_conjecture, ( r1(skolem1, skolem6) )).
% 0.12/0.34  cnf(main-9, negated_conjecture, ( r1(skolem6, skolem7) )).
% 0.12/0.34  cnf(main-10, negated_conjecture, ( ~p12(skolem7) )).
% 0.12/0.34  cnf(main-11, negated_conjecture, ( r1(skolem1, skolem8) )).
% 0.12/0.34  cnf(main-12, negated_conjecture, ( r1(skolem8, skolem9) )).
% 0.12/0.34  cnf(main-13, negated_conjecture, ( ~p11(skolem9) )).
% 0.12/0.34  cnf(main-14, negated_conjecture, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u4) | p16(_u4) )).
% 0.12/0.34  cnf(main-15, negated_conjecture, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u5) | p12(_u5) )).
% 0.12/0.34  cnf(main-16, negated_conjecture, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u6) | p14(_u6) )).
% 0.12/0.34  cnf(main-17, negated_conjecture, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u7) | p12(_u7) )).
% 0.12/0.34  
% 0.12/0.34  % Problem matrix:
% 0.12/0.34  cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 0.12/0.34  cnf(matrix-1, plain, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 0.12/0.34  cnf(matrix-2, plain, ( ~r1(skolem1, _u8) | ~_def0(_u6, _u8, _u4, _u5, _u7) )).
% 0.12/0.34  cnf(matrix-3, plain, ( r1(skolem1, skolem2) )).
% 0.12/0.34  cnf(matrix-4, plain, ( r1(skolem2, skolem3) )).
% 0.12/0.34  cnf(matrix-5, plain, ( ~p15(skolem3) )).
% 0.12/0.34  cnf(matrix-6, plain, ( r1(skolem1, skolem4) )).
% 0.12/0.34  cnf(matrix-7, plain, ( r1(skolem4, skolem5) )).
% 0.12/0.34  cnf(matrix-8, plain, ( ~p13(skolem5) )).
% 0.12/0.34  cnf(matrix-9, plain, ( r1(skolem1, skolem6) )).
% 0.12/0.34  cnf(matrix-10, plain, ( r1(skolem6, skolem7) )).
% 0.12/0.34  cnf(matrix-11, plain, ( ~p12(skolem7) )).
% 0.12/0.34  cnf(matrix-12, plain, ( r1(skolem1, skolem8) )).
% 0.12/0.34  cnf(matrix-13, plain, ( r1(skolem8, skolem9) )).
% 0.12/0.34  cnf(matrix-14, plain, ( ~p11(skolem9) )).
% 0.12/0.34  cnf(matrix-15, plain, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u4) | p16(_u4) )).
% 0.12/0.34  cnf(matrix-16, plain, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u5) | p12(_u5) )).
% 0.12/0.34  cnf(matrix-17, plain, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u6) | p14(_u6) )).
% 0.12/0.34  cnf(matrix-18, plain, ( _def0(_u6, _u8, _u4, _u5, _u7) | ~r1(_u8, _u7) | p12(_u7) )).
% 0.12/0.34  
% 0.12/0.34  % Proof stack:
% 0.12/0.34  cnf(proof-stack, plain, 
% 0.12/0.34  proof_stack(
% 0.12/0.34  start(2), 
% 0.12/0.34  left_branch(0, 9, 0, 2), 
% 0.12/0.34  right_branch(2), 
% 0.12/0.34  left_branch(0, 18, 0, 3), 
% 0.12/0.34  left_branch(0, 11, 0, 4), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  left_branch(0, 10, 0, 5), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  right_branch(3)
% 0.12/0.34  )).
% 0.12/0.34  % SZS output end Proof for theBenchmark
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