TSTP Solution File: LCL656+1.001 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : LCL656+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 : n005.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 : Wed Mar  6 09:10:05 EST 2024

% Result   : Theorem 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Mar  3 14:30:17 EST 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  % SZS status Theorem for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% 0.19/0.43  
% 0.19/0.43  % Formula: reflexivity ( axiom ) converted to clauses:
% 0.19/0.43  cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 0.19/0.43  
% 0.19/0.43  % Formula: main ( conjecture ) converted to clauses:
% 0.19/0.43  cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u1) | p2(_u1) )).
% 0.19/0.43  cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | r1(_u8, skolem2(_u8)) )).
% 0.19/0.43  cnf(main-3, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p2(skolem2(_u8)) )).
% 0.19/0.43  cnf(main-4, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p102(skolem2(_u8)) )).
% 0.19/0.43  cnf(main-5, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p101(skolem2(_u8)) )).
% 0.19/0.43  cnf(main-6, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | r1(_u8, skolem3(_u8)) )).
% 0.19/0.43  cnf(main-7, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p2(skolem3(_u8)) )).
% 0.19/0.43  cnf(main-8, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p102(skolem3(_u8)) )).
% 0.19/0.43  cnf(main-9, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p101(skolem3(_u8)) )).
% 0.19/0.43  cnf(main-10, negated_conjecture, ( ~r1(skolem1, _u8) | ~p101(_u8) | ~r1(_u8, _u4) | ~p2(_u4) | ~p101(_u4) | p2(_u8) )).
% 0.19/0.43  cnf(main-11, negated_conjecture, ( ~r1(skolem1, _u8) | ~p101(_u8) | ~r1(_u8, _u5) | p2(_u5) | ~p101(_u5) | ~p2(_u8) )).
% 0.19/0.43  cnf(main-12, negated_conjecture, ( ~r1(skolem1, _u8) | ~p100(_u8) | ~r1(_u8, _u6) | ~p1(_u6) | ~p100(_u6) | p1(_u8) )).
% 0.19/0.43  cnf(main-13, negated_conjecture, ( ~r1(skolem1, _u8) | ~p100(_u8) | ~r1(_u8, _u7) | p1(_u7) | ~p100(_u7) | ~p1(_u8) )).
% 0.19/0.43  cnf(main-14, negated_conjecture, ( ~r1(skolem1, _u8) | p101(_u8) | ~p102(_u8) )).
% 0.19/0.43  cnf(main-15, negated_conjecture, ( ~r1(skolem1, _u8) | p100(_u8) | ~p101(_u8) )).
% 0.19/0.43  cnf(main-16, negated_conjecture, ( ~p101(skolem1) )).
% 0.19/0.43  cnf(main-17, negated_conjecture, ( p100(skolem1) )).
% 0.19/0.43  
% 0.19/0.43  % Problem matrix:
% 0.19/0.43  cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 0.19/0.43  cnf(matrix-1, plain, ( ~r1(skolem1, _u1) | p2(_u1) )).
% 0.19/0.43  cnf(matrix-2, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | r1(_u8, skolem2(_u8)) )).
% 0.19/0.43  cnf(matrix-3, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p2(skolem2(_u8)) )).
% 0.19/0.43  cnf(matrix-4, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p102(skolem2(_u8)) )).
% 0.19/0.43  cnf(matrix-5, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p101(skolem2(_u8)) )).
% 0.19/0.43  cnf(matrix-6, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | r1(_u8, skolem3(_u8)) )).
% 0.19/0.43  cnf(matrix-7, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p2(skolem3(_u8)) )).
% 0.19/0.43  cnf(matrix-8, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | ~p102(skolem3(_u8)) )).
% 0.19/0.43  cnf(matrix-9, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p100(_u8) | p101(skolem3(_u8)) )).
% 0.19/0.43  cnf(matrix-10, plain, ( ~r1(skolem1, _u8) | ~p101(_u8) | ~r1(_u8, _u4) | ~p2(_u4) | ~p101(_u4) | p2(_u8) )).
% 0.19/0.43  cnf(matrix-11, plain, ( ~r1(skolem1, _u8) | ~p101(_u8) | ~r1(_u8, _u5) | p2(_u5) | ~p101(_u5) | ~p2(_u8) )).
% 0.19/0.43  cnf(matrix-12, plain, ( ~r1(skolem1, _u8) | ~p100(_u8) | ~r1(_u8, _u6) | ~p1(_u6) | ~p100(_u6) | p1(_u8) )).
% 0.19/0.43  cnf(matrix-13, plain, ( ~r1(skolem1, _u8) | ~p100(_u8) | ~r1(_u8, _u7) | p1(_u7) | ~p100(_u7) | ~p1(_u8) )).
% 0.19/0.43  cnf(matrix-14, plain, ( ~r1(skolem1, _u8) | p101(_u8) | ~p102(_u8) )).
% 0.19/0.43  cnf(matrix-15, plain, ( ~r1(skolem1, _u8) | p100(_u8) | ~p101(_u8) )).
% 0.19/0.43  cnf(matrix-16, plain, ( ~p101(skolem1) )).
% 0.19/0.43  cnf(matrix-17, plain, ( p100(skolem1) )).
% 0.19/0.43  
% 0.19/0.43  % Proof stack:
% 0.19/0.43  cnf(proof-stack, plain, 
% 0.19/0.43  proof_stack(
% 0.19/0.43  start(16), 
% 0.19/0.43  left_branch(0, 5, 1, 2), 
% 0.19/0.43  left_branch(0, 0, 0, 3), 
% 0.19/0.43  right_branch(3), 
% 0.19/0.43  left_branch(0, 17, 0, 4), 
% 0.19/0.43  right_branch(4), 
% 0.19/0.43  left_branch(0, 11, 1, 5), 
% 0.19/0.43  left_branch(0, 2, 3, 6), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  lemmata(0, 1), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  reduction(0, 1), 
% 0.19/0.43  left_branch(0, 3, 3, 8), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  lemmata(0, 1), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  right_branch(8), 
% 0.19/0.43  left_branch(0, 0, 0, 9), 
% 0.19/0.43  right_branch(9), 
% 0.19/0.43  left_branch(0, 1, 1, 10), 
% 0.19/0.43  lemmata(0, 2), 
% 0.19/0.43  right_branch(10), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  right_branch(2)
% 0.19/0.43  )).
% 0.19/0.43  % SZS output end Proof for theBenchmark
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