TSTP Solution File: LCL688+1.001 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LCL688+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 : n012.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 14:21:03 EDT 2024
% Result : Theorem 28.68s 28.88s
% Output : Proof 28.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.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 17:52:15 EDT 2024
% 0.12/0.33 % CPUTime :
% 28.68/28.88 % SZS status Theorem for theBenchmark
% 28.68/28.88 % SZS output start Proof for theBenchmark
% 28.68/28.88
% 28.68/28.88 % Formula: reflexivity ( axiom ) converted to clauses:
% 28.68/28.88 cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 28.68/28.88
% 28.68/28.88 % Formula: transitivity ( axiom ) converted to clauses:
% 28.68/28.88 cnf(transitivity-1, axiom, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 28.68/28.88
% 28.68/28.88 % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 28.68/28.88 cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u4) | ~p4(_u4) )).
% 28.68/28.88 cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u14) | ~_def3(_u14, _u13, _u7, _u10, _u9, _u12) )).
% 28.68/28.88 cnf(main-3, negated_conjecture, ( p1(skolem1) | ~r1(skolem1, _u16) | ~_def4(_u16) | ~_def5(_u17, _u18) )).
% 28.68/28.88 cnf(main-4, negated_conjecture, ( r1(skolem1, skolem8) )).
% 28.68/28.88 cnf(main-5, negated_conjecture, ( r1(skolem8, skolem9) )).
% 28.68/28.88 cnf(main-6, negated_conjecture, ( ~r1(skolem9, _u20) | p1(_u20) )).
% 28.68/28.88 cnf(main-7, negated_conjecture, ( r1(skolem8, skolem10) )).
% 28.68/28.88 cnf(main-8, negated_conjecture, ( ~p1(skolem10) )).
% 28.68/28.88 cnf(main-9, negated_conjecture, ( r1(skolem1, skolem11) )).
% 28.68/28.88 cnf(main-10, negated_conjecture, ( ~r1(skolem11, _u25) | ~_def6(_u25) )).
% 28.68/28.88 cnf(main-11, negated_conjecture, ( ~r1(skolem1, _u30) | ~r1(_u30, _u28) | ~r1(_u28, _u27) | ~p1(_u27) | ~_def7(_u30) )).
% 28.68/28.88 cnf(main-12, negated_conjecture, ( _def3(_u14, _u13, _u7, _u10, _u9, _u12) | ~r1(_u14, _u7) | ~_def0(_u14, _u7) )).
% 28.68/28.88 cnf(main-13, negated_conjecture, ( _def3(_u14, _u13, _u7, _u10, _u9, _u12) | ~r1(_u14, _u13) | ~r1(_u13, _u9) | ~_def1(_u14, _u13, _u9) | ~p2(_u13) | ~r1(_u13, _u12) | ~_def2(_u14, _u13, _u10, _u12) )).
% 28.68/28.88 cnf(main-14, negated_conjecture, ( _def0(_u14, _u7) | r1(_u7, skolem2(_u14, _u7)) )).
% 28.68/28.88 cnf(main-15, negated_conjecture, ( _def0(_u14, _u7) | r1(skolem2(_u14, _u7), skolem3(_u14, _u7)) )).
% 28.68/28.88 cnf(main-16, negated_conjecture, ( _def0(_u14, _u7) | ~p3(skolem3(_u14, _u7)) )).
% 28.68/28.88 cnf(main-17, negated_conjecture, ( _def0(_u14, _u7) | p2(skolem2(_u14, _u7)) )).
% 28.68/28.88 cnf(main-18, negated_conjecture, ( _def1(_u14, _u13, _u9) | r1(_u9, skolem4(_u14, _u13, _u9)) )).
% 28.68/28.88 cnf(main-19, negated_conjecture, ( _def1(_u14, _u13, _u9) | ~p3(skolem4(_u14, _u13, _u9)) )).
% 28.68/28.88 cnf(main-20, negated_conjecture, ( _def1(_u14, _u13, _u9) | p2(_u9) )).
% 28.68/28.88 cnf(main-21, negated_conjecture, ( _def2(_u14, _u13, _u10, _u12) | r1(_u12, skolem5(_u14, _u13, _u12)) )).
% 28.68/28.88 cnf(main-22, negated_conjecture, ( _def2(_u14, _u13, _u10, _u12) | ~r1(skolem5(_u14, _u13, _u12), _u10) | ~p2(_u10) )).
% 28.68/28.88 cnf(main-23, negated_conjecture, ( _def4(_u16) | r1(_u16, skolem6(_u16)) )).
% 28.68/28.88 cnf(main-24, negated_conjecture, ( _def4(_u16) | ~p1(skolem6(_u16)) )).
% 28.68/28.88 cnf(main-25, negated_conjecture, ( _def5(_u17, _u18) | r1(skolem1, skolem7) )).
% 28.68/28.88 cnf(main-26, negated_conjecture, ( _def5(_u17, _u18) | ~p1(skolem7) )).
% 28.68/28.88 cnf(main-27, negated_conjecture, ( _def5(_u17, _u18) | ~r1(skolem7, _u18) | ~r1(_u18, _u17) | p1(_u17) | ~p1(_u18) )).
% 28.68/28.88 cnf(main-28, negated_conjecture, ( _def6(_u25) | r1(_u25, skolem12(_u25)) )).
% 28.68/28.88 cnf(main-29, negated_conjecture, ( _def6(_u25) | ~p2(skolem12(_u25)) )).
% 28.68/28.88 cnf(main-30, negated_conjecture, ( _def7(_u30) | r1(_u30, skolem13(_u30)) )).
% 28.68/28.88 cnf(main-31, negated_conjecture, ( _def7(_u30) | p1(skolem13(_u30)) )).
% 28.68/28.88
% 28.68/28.88 % Problem matrix:
% 28.68/28.88 cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 28.68/28.88 cnf(matrix-1, plain, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 28.68/28.88 cnf(matrix-2, plain, ( ~r1(skolem1, _u4) | ~p4(_u4) )).
% 28.68/28.88 cnf(matrix-3, plain, ( ~r1(skolem1, _u14) | ~_def3(_u14, _u13, _u7, _u10, _u9, _u12) )).
% 28.68/28.88 cnf(matrix-4, plain, ( p1(skolem1) | ~r1(skolem1, _u16) | ~_def4(_u16) | ~_def5(_u17, _u18) )).
% 28.68/28.88 cnf(matrix-5, plain, ( r1(skolem1, skolem8) )).
% 28.68/28.88 cnf(matrix-6, plain, ( r1(skolem8, skolem9) )).
% 28.68/28.88 cnf(matrix-7, plain, ( ~r1(skolem9, _u20) | p1(_u20) )).
% 28.68/28.88 cnf(matrix-8, plain, ( r1(skolem8, skolem10) )).
% 28.68/28.88 cnf(matrix-9, plain, ( ~p1(skolem10) )).
% 28.68/28.88 cnf(matrix-10, plain, ( r1(skolem1, skolem11) )).
% 28.68/28.88 cnf(matrix-11, plain, ( ~r1(skolem11, _u25) | ~_def6(_u25) )).
% 28.68/28.88 cnf(matrix-12, plain, ( ~r1(skolem1, _u30) | ~r1(_u30, _u28) | ~r1(_u28, _u27) | ~p1(_u27) | ~_def7(_u30) )).
% 28.68/28.88 cnf(matrix-13, plain, ( _def3(_u14, _u13, _u7, _u10, _u9, _u12) | ~r1(_u14, _u7) | ~_def0(_u14, _u7) )).
% 28.68/28.88 cnf(matrix-14, plain, ( _def3(_u14, _u13, _u7, _u10, _u9, _u12) | ~r1(_u14, _u13) | ~r1(_u13, _u9) | ~_def1(_u14, _u13, _u9) | ~p2(_u13) | ~r1(_u13, _u12) | ~_def2(_u14, _u13, _u10, _u12) )).
% 28.68/28.88 cnf(matrix-15, plain, ( _def0(_u14, _u7) | r1(_u7, skolem2(_u14, _u7)) )).
% 28.68/28.88 cnf(matrix-16, plain, ( _def0(_u14, _u7) | r1(skolem2(_u14, _u7), skolem3(_u14, _u7)) )).
% 28.68/28.88 cnf(matrix-17, plain, ( _def0(_u14, _u7) | ~p3(skolem3(_u14, _u7)) )).
% 28.68/28.88 cnf(matrix-18, plain, ( _def0(_u14, _u7) | p2(skolem2(_u14, _u7)) )).
% 28.68/28.88 cnf(matrix-19, plain, ( _def1(_u14, _u13, _u9) | r1(_u9, skolem4(_u14, _u13, _u9)) )).
% 28.68/28.88 cnf(matrix-20, plain, ( _def1(_u14, _u13, _u9) | ~p3(skolem4(_u14, _u13, _u9)) )).
% 28.68/28.88 cnf(matrix-21, plain, ( _def1(_u14, _u13, _u9) | p2(_u9) )).
% 28.68/28.88 cnf(matrix-22, plain, ( _def2(_u14, _u13, _u10, _u12) | r1(_u12, skolem5(_u14, _u13, _u12)) )).
% 28.68/28.88 cnf(matrix-23, plain, ( _def2(_u14, _u13, _u10, _u12) | ~r1(skolem5(_u14, _u13, _u12), _u10) | ~p2(_u10) )).
% 28.68/28.88 cnf(matrix-24, plain, ( _def4(_u16) | r1(_u16, skolem6(_u16)) )).
% 28.68/28.88 cnf(matrix-25, plain, ( _def4(_u16) | ~p1(skolem6(_u16)) )).
% 28.68/28.88 cnf(matrix-26, plain, ( _def5(_u17, _u18) | r1(skolem1, skolem7) )).
% 28.68/28.88 cnf(matrix-27, plain, ( _def5(_u17, _u18) | ~p1(skolem7) )).
% 28.68/28.88 cnf(matrix-28, plain, ( _def5(_u17, _u18) | ~r1(skolem7, _u18) | ~r1(_u18, _u17) | p1(_u17) | ~p1(_u18) )).
% 28.68/28.88 cnf(matrix-29, plain, ( _def6(_u25) | r1(_u25, skolem12(_u25)) )).
% 28.68/28.88 cnf(matrix-30, plain, ( _def6(_u25) | ~p2(skolem12(_u25)) )).
% 28.68/28.88 cnf(matrix-31, plain, ( _def7(_u30) | r1(_u30, skolem13(_u30)) )).
% 28.68/28.88 cnf(matrix-32, plain, ( _def7(_u30) | p1(skolem13(_u30)) )).
% 28.68/28.88
% 28.68/28.88 % Proof stack:
% 28.68/28.88 cnf(proof-stack, plain,
% 28.68/28.88 proof_stack(
% 28.68/28.88 start(10),
% 28.68/28.88 left_branch(0, 13, 1, 2),
% 28.68/28.88 left_branch(0, 3, 1, 3),
% 28.68/28.88 left_branch(0, 0, 0, 4),
% 28.68/28.88 right_branch(4),
% 28.68/28.88 right_branch(3),
% 28.68/28.88 left_branch(0, 15, 0, 4),
% 28.68/28.88 left_branch(0, 14, 1, 5),
% 28.68/28.88 left_branch(0, 3, 1, 6),
% 28.68/28.88 reduction(0, 0),
% 28.68/28.88 right_branch(6),
% 28.68/28.88 left_branch(0, 29, 1, 7),
% 28.68/28.88 left_branch(0, 11, 1, 8),
% 28.68/28.88 reduction(0, 2),
% 28.68/28.88 right_branch(8),
% 28.68/28.88 right_branch(7),
% 28.68/28.88 left_branch(0, 18, 1, 8),
% 28.68/28.88 reduction(0, 1),
% 28.68/28.88 right_branch(8),
% 28.68/28.88 left_branch(0, 21, 0, 9),
% 28.68/28.88 left_branch(0, 30, 1, 10),
% 28.68/28.88 left_branch(0, 11, 1, 11),
% 28.68/28.88 reduction(0, 2),
% 28.68/28.88 right_branch(11),
% 28.68/28.88 right_branch(10),
% 28.68/28.88 right_branch(9),
% 28.68/28.88 lemmata(0, 2),
% 28.68/28.88 left_branch(0, 22, 0, 11),
% 28.68/28.88 left_branch(0, 13, 1, 12),
% 28.68/28.88 left_branch(0, 3, 1, 13),
% 28.68/28.88 left_branch(0, 1, 2, 14),
% 28.68/28.88 reduction(0, 0),
% 28.68/28.88 left_branch(0, 1, 2, 16),
% 28.68/28.88 reduction(0, 2),
% 28.68/28.88 lemmata(0, 2),
% 28.68/28.88 right_branch(16),
% 28.68/28.88 right_branch(14),
% 28.68/28.88 right_branch(13),
% 28.68/28.88 left_branch(0, 18, 0, 14),
% 28.68/28.88 left_branch(0, 23, 2, 15),
% 28.68/28.88 reduction(0, 3),
% 28.68/28.88 left_branch(0, 15, 1, 17),
% 28.68/28.88 reduction(0, 5),
% 28.68/28.88 right_branch(17),
% 28.68/28.88 right_branch(15),
% 28.68/28.88 right_branch(14),
% 28.68/28.88 right_branch(12),
% 28.68/28.88 right_branch(11),
% 28.68/28.88 right_branch(5),
% 28.68/28.88 right_branch(4),
% 28.68/28.88 right_branch(2)
% 28.68/28.88 )).
% 28.68/28.88 % SZS output end Proof for theBenchmark
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