TSTP Solution File: LCL650+1.001 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LCL650+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 : n026.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 14:20:48 EDT 2024
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n026.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 18:20:19 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% 0.20/0.54
% 0.20/0.54 % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.20/0.54 cnf(main-1, negated_conjecture, ( r1(skolem1, skolem2) )).
% 0.20/0.54 cnf(main-2, negated_conjecture, ( r1(skolem2, skolem3) )).
% 0.20/0.54 cnf(main-3, negated_conjecture, ( r1(skolem3, skolem4) )).
% 0.20/0.54 cnf(main-4, negated_conjecture, ( r1(skolem4, skolem5) )).
% 0.20/0.54 cnf(main-5, negated_conjecture, ( p8(skolem5) | p6(skolem5) | p4(skolem5) | p2(skolem5) )).
% 0.20/0.54 cnf(main-6, negated_conjecture, ( r1(skolem1, skolem6) )).
% 0.20/0.54 cnf(main-7, negated_conjecture, ( ~p5(skolem6) )).
% 0.20/0.54 cnf(main-8, negated_conjecture, ( ~r1(skolem1, _u15) | ~_def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) )).
% 0.20/0.54 cnf(main-9, negated_conjecture, ( r1(skolem1, skolem9) )).
% 0.20/0.54 cnf(main-10, negated_conjecture, ( r1(skolem9, skolem10) )).
% 0.20/0.54 cnf(main-11, negated_conjecture, ( r1(skolem10, skolem11) )).
% 0.20/0.54 cnf(main-12, negated_conjecture, ( r1(skolem11, skolem12) )).
% 0.20/0.54 cnf(main-13, negated_conjecture, ( ~p4(skolem12) | ~p3(skolem12) | ~p2(skolem12) | ~p1(skolem12) )).
% 0.20/0.54 cnf(main-14, negated_conjecture, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~r1(_u15, _u7) | ~r1(_u7, _u6) | ~r1(_u6, _u5) | ~_def0(_u5) )).
% 0.20/0.54 cnf(main-15, negated_conjecture, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | r1(_u15, skolem7(_u15)) )).
% 0.20/0.54 cnf(main-16, negated_conjecture, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~p4(skolem7(_u15)) )).
% 0.20/0.54 cnf(main-17, negated_conjecture, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~r1(_u15, _u14) | ~_def3(_u10, _u15, _u9, _u12, _u13, _u14) )).
% 0.20/0.54 cnf(main-18, negated_conjecture, ( _def0(_u5) | p3(_u5) | p1(_u5) )).
% 0.20/0.54 cnf(main-19, negated_conjecture, ( _def0(_u5) | ~p1(_u5) | ~p3(_u5) )).
% 0.20/0.54 cnf(main-20, negated_conjecture, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~r1(_u14, _u10) | ~r1(_u10, _u9) | ~_def1(_u9) )).
% 0.20/0.54 cnf(main-21, negated_conjecture, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | r1(_u14, skolem8(_u15, _u14)) )).
% 0.20/0.54 cnf(main-22, negated_conjecture, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~p3(skolem8(_u15, _u14)) )).
% 0.20/0.54 cnf(main-23, negated_conjecture, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~r1(_u14, _u13) | ~r1(_u13, _u12) | ~_def2(_u12) )).
% 0.20/0.54 cnf(main-24, negated_conjecture, ( _def1(_u9) | p2(_u9) | p3(_u9) )).
% 0.20/0.54 cnf(main-25, negated_conjecture, ( _def1(_u9) | ~p3(_u9) | ~p2(_u9) )).
% 0.20/0.54 cnf(main-26, negated_conjecture, ( _def2(_u12) | p1(_u12) | p2(_u12) )).
% 0.20/0.54 cnf(main-27, negated_conjecture, ( _def2(_u12) | ~p2(_u12) | ~p1(_u12) )).
% 0.20/0.54
% 0.20/0.54 % Problem matrix:
% 0.20/0.54 cnf(matrix-0, plain, ( r1(skolem1, skolem2) )).
% 0.20/0.54 cnf(matrix-1, plain, ( r1(skolem2, skolem3) )).
% 0.20/0.54 cnf(matrix-2, plain, ( r1(skolem3, skolem4) )).
% 0.20/0.54 cnf(matrix-3, plain, ( r1(skolem4, skolem5) )).
% 0.20/0.54 cnf(matrix-4, plain, ( p8(skolem5) | p6(skolem5) | p4(skolem5) | p2(skolem5) )).
% 0.20/0.54 cnf(matrix-5, plain, ( r1(skolem1, skolem6) )).
% 0.20/0.54 cnf(matrix-6, plain, ( ~p5(skolem6) )).
% 0.20/0.54 cnf(matrix-7, plain, ( ~r1(skolem1, _u15) | ~_def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) )).
% 0.20/0.54 cnf(matrix-8, plain, ( r1(skolem1, skolem9) )).
% 0.20/0.54 cnf(matrix-9, plain, ( r1(skolem9, skolem10) )).
% 0.20/0.54 cnf(matrix-10, plain, ( r1(skolem10, skolem11) )).
% 0.20/0.54 cnf(matrix-11, plain, ( r1(skolem11, skolem12) )).
% 0.20/0.54 cnf(matrix-12, plain, ( ~p4(skolem12) | ~p3(skolem12) | ~p2(skolem12) | ~p1(skolem12) )).
% 0.20/0.54 cnf(matrix-13, plain, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~r1(_u15, _u7) | ~r1(_u7, _u6) | ~r1(_u6, _u5) | ~_def0(_u5) )).
% 0.20/0.54 cnf(matrix-14, plain, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | r1(_u15, skolem7(_u15)) )).
% 0.20/0.54 cnf(matrix-15, plain, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~p4(skolem7(_u15)) )).
% 0.20/0.54 cnf(matrix-16, plain, ( _def4(_u10, _u7, _u15, _u5, _u9, _u6, _u12, _u13, _u14) | ~r1(_u15, _u14) | ~_def3(_u10, _u15, _u9, _u12, _u13, _u14) )).
% 0.20/0.54 cnf(matrix-17, plain, ( _def0(_u5) | p3(_u5) | p1(_u5) )).
% 0.20/0.54 cnf(matrix-18, plain, ( _def0(_u5) | ~p1(_u5) | ~p3(_u5) )).
% 0.20/0.54 cnf(matrix-19, plain, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~r1(_u14, _u10) | ~r1(_u10, _u9) | ~_def1(_u9) )).
% 0.20/0.54 cnf(matrix-20, plain, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | r1(_u14, skolem8(_u15, _u14)) )).
% 0.20/0.54 cnf(matrix-21, plain, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~p3(skolem8(_u15, _u14)) )).
% 0.20/0.54 cnf(matrix-22, plain, ( _def3(_u10, _u15, _u9, _u12, _u13, _u14) | ~r1(_u14, _u13) | ~r1(_u13, _u12) | ~_def2(_u12) )).
% 0.20/0.54 cnf(matrix-23, plain, ( _def1(_u9) | p2(_u9) | p3(_u9) )).
% 0.20/0.54 cnf(matrix-24, plain, ( _def1(_u9) | ~p3(_u9) | ~p2(_u9) )).
% 0.20/0.54 cnf(matrix-25, plain, ( _def2(_u12) | p1(_u12) | p2(_u12) )).
% 0.20/0.54 cnf(matrix-26, plain, ( _def2(_u12) | ~p2(_u12) | ~p1(_u12) )).
% 0.20/0.54
% 0.20/0.54 % Proof stack:
% 0.20/0.54 cnf(proof-stack, plain,
% 0.20/0.54 proof_stack(
% 0.20/0.54 start(7),
% 0.20/0.54 left_branch(0, 8, 0, 2),
% 0.20/0.54 right_branch(2),
% 0.20/0.54 left_branch(0, 16, 0, 3),
% 0.20/0.54 left_branch(0, 22, 0, 4),
% 0.20/0.54 left_branch(0, 26, 0, 5),
% 0.20/0.54 left_branch(0, 17, 2, 6),
% 0.20/0.54 left_branch(0, 13, 4, 7),
% 0.20/0.54 reduction(0, 0),
% 0.20/0.54 left_branch(0, 11, 0, 9),
% 0.20/0.54 right_branch(9),
% 0.20/0.54 left_branch(0, 10, 0, 10),
% 0.20/0.54 right_branch(10),
% 0.20/0.54 left_branch(0, 9, 0, 11),
% 0.20/0.54 right_branch(11),
% 0.20/0.54 right_branch(7),
% 0.20/0.54 left_branch(0, 24, 1, 8),
% 0.20/0.54 left_branch(0, 19, 3, 9),
% 0.20/0.54 reduction(0, 1),
% 0.20/0.54 left_branch(0, 11, 0, 11),
% 0.20/0.54 right_branch(11),
% 0.20/0.54 left_branch(0, 10, 0, 12),
% 0.20/0.54 right_branch(12),
% 0.20/0.54 right_branch(9),
% 0.20/0.54 left_branch(0, 25, 2, 10),
% 0.20/0.54 reduction(0, 2),
% 0.20/0.54 reduction(0, 3),
% 0.20/0.54 right_branch(10),
% 0.20/0.54 right_branch(8),
% 0.20/0.54 right_branch(6),
% 0.20/0.54 left_branch(0, 23, 1, 7),
% 0.20/0.54 left_branch(0, 19, 3, 8),
% 0.20/0.54 reduction(0, 1),
% 0.20/0.54 left_branch(0, 11, 0, 10),
% 0.20/0.54 right_branch(10),
% 0.20/0.54 left_branch(0, 10, 0, 11),
% 0.20/0.54 right_branch(11),
% 0.20/0.54 right_branch(8),
% 0.20/0.54 left_branch(0, 18, 2, 9),
% 0.20/0.54 left_branch(0, 13, 4, 10),
% 0.20/0.54 reduction(0, 0),
% 0.20/0.54 left_branch(0, 11, 0, 12),
% 0.20/0.54 right_branch(12),
% 0.20/0.54 left_branch(0, 10, 0, 13),
% 0.20/0.54 right_branch(13),
% 0.20/0.54 left_branch(0, 9, 0, 14),
% 0.20/0.54 right_branch(14),
% 0.20/0.54 right_branch(10),
% 0.20/0.54 lemmata(0, 1),
% 0.20/0.54 right_branch(9),
% 0.20/0.54 right_branch(7),
% 0.20/0.54 right_branch(5),
% 0.20/0.54 left_branch(0, 11, 0, 6),
% 0.20/0.54 right_branch(6),
% 0.20/0.54 left_branch(0, 10, 0, 7),
% 0.20/0.54 right_branch(7),
% 0.20/0.54 right_branch(4),
% 0.20/0.54 left_branch(0, 9, 0, 5),
% 0.20/0.54 right_branch(5),
% 0.20/0.54 right_branch(3)
% 0.20/0.54 )).
% 0.20/0.54 % SZS output end Proof for theBenchmark
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