TSTP Solution File: LCL654+1.001 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : LCL654+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 14:20:50 EDT 2024
% Result : Theorem 2.09s 2.26s
% Output : Proof 2.09s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % 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 18:14:34 EDT 2024
% 0.12/0.33 % CPUTime :
% 2.09/2.26 % SZS status Theorem for theBenchmark
% 2.09/2.26 % SZS output start Proof for theBenchmark
% 2.09/2.26
% 2.09/2.26 % Formula: reflexivity ( axiom ) converted to clauses:
% 2.09/2.26 cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 2.09/2.26
% 2.09/2.26 % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 2.09/2.26 cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u3) | ~r1(_u3, _u2) | ~_def0(_u2, _u3) | ~p1(_u3) )).
% 2.09/2.26 cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u8) | ~r1(_u8, _u7) | ~r1(_u7, _u5) | ~_def1(_u5, _u7, _u8) | ~r1(_u7, _u6) | p1(_u6) )).
% 2.09/2.26 cnf(main-3, negated_conjecture, ( ~r1(skolem1, _u14) | ~r1(_u14, _u11) | ~_def2(_u9, _u14, _u11) | ~r1(_u14, _u13) | ~_def3(_u14, _u13) )).
% 2.09/2.26 cnf(main-4, negated_conjecture, ( ~r1(skolem1, _u16) | ~_def4(_u16) )).
% 2.09/2.26 cnf(main-5, negated_conjecture, ( r1(skolem1, skolem7) )).
% 2.09/2.26 cnf(main-6, negated_conjecture, ( r1(skolem7, skolem8) )).
% 2.09/2.26 cnf(main-7, negated_conjecture, ( r1(skolem8, skolem9) )).
% 2.09/2.26 cnf(main-8, negated_conjecture, ( ~p1(skolem9) )).
% 2.09/2.26 cnf(main-9, negated_conjecture, ( ~r1(skolem7, _u19) | p1(_u19) )).
% 2.09/2.26 cnf(main-10, negated_conjecture, ( _def0(_u2, _u3) | r1(_u2, skolem2(_u3, _u2)) )).
% 2.09/2.26 cnf(main-11, negated_conjecture, ( _def0(_u2, _u3) | p1(skolem2(_u3, _u2)) )).
% 2.09/2.26 cnf(main-12, negated_conjecture, ( _def1(_u5, _u7, _u8) | r1(_u5, skolem3(_u8, _u7, _u5)) )).
% 2.09/2.26 cnf(main-13, negated_conjecture, ( _def1(_u5, _u7, _u8) | ~p1(skolem3(_u8, _u7, _u5)) )).
% 2.09/2.26 cnf(main-14, negated_conjecture, ( _def2(_u9, _u14, _u11) | r1(_u11, skolem4(_u14, _u11)) )).
% 2.09/2.26 cnf(main-15, negated_conjecture, ( _def2(_u9, _u14, _u11) | ~r1(skolem4(_u14, _u11), _u9) | p1(_u9) )).
% 2.09/2.26 cnf(main-16, negated_conjecture, ( _def3(_u14, _u13) | r1(_u13, skolem5(_u14, _u13)) )).
% 2.09/2.26 cnf(main-17, negated_conjecture, ( _def3(_u14, _u13) | ~p1(skolem5(_u14, _u13)) )).
% 2.09/2.26 cnf(main-18, negated_conjecture, ( _def4(_u16) | r1(_u16, skolem6(_u16)) )).
% 2.09/2.26
% 2.09/2.26 % Problem matrix:
% 2.09/2.26 cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 2.09/2.26 cnf(matrix-1, plain, ( ~r1(skolem1, _u3) | ~r1(_u3, _u2) | ~_def0(_u2, _u3) | ~p1(_u3) )).
% 2.09/2.26 cnf(matrix-2, plain, ( ~r1(skolem1, _u8) | ~r1(_u8, _u7) | ~r1(_u7, _u5) | ~_def1(_u5, _u7, _u8) | ~r1(_u7, _u6) | p1(_u6) )).
% 2.09/2.26 cnf(matrix-3, plain, ( ~r1(skolem1, _u14) | ~r1(_u14, _u11) | ~_def2(_u9, _u14, _u11) | ~r1(_u14, _u13) | ~_def3(_u14, _u13) )).
% 2.09/2.26 cnf(matrix-4, plain, ( ~r1(skolem1, _u16) | ~_def4(_u16) )).
% 2.09/2.26 cnf(matrix-5, plain, ( r1(skolem1, skolem7) )).
% 2.09/2.26 cnf(matrix-6, plain, ( r1(skolem7, skolem8) )).
% 2.09/2.26 cnf(matrix-7, plain, ( r1(skolem8, skolem9) )).
% 2.09/2.26 cnf(matrix-8, plain, ( ~p1(skolem9) )).
% 2.09/2.26 cnf(matrix-9, plain, ( ~r1(skolem7, _u19) | p1(_u19) )).
% 2.09/2.26 cnf(matrix-10, plain, ( _def0(_u2, _u3) | r1(_u2, skolem2(_u3, _u2)) )).
% 2.09/2.26 cnf(matrix-11, plain, ( _def0(_u2, _u3) | p1(skolem2(_u3, _u2)) )).
% 2.09/2.26 cnf(matrix-12, plain, ( _def1(_u5, _u7, _u8) | r1(_u5, skolem3(_u8, _u7, _u5)) )).
% 2.09/2.26 cnf(matrix-13, plain, ( _def1(_u5, _u7, _u8) | ~p1(skolem3(_u8, _u7, _u5)) )).
% 2.09/2.26 cnf(matrix-14, plain, ( _def2(_u9, _u14, _u11) | r1(_u11, skolem4(_u14, _u11)) )).
% 2.09/2.26 cnf(matrix-15, plain, ( _def2(_u9, _u14, _u11) | ~r1(skolem4(_u14, _u11), _u9) | p1(_u9) )).
% 2.09/2.26 cnf(matrix-16, plain, ( _def3(_u14, _u13) | r1(_u13, skolem5(_u14, _u13)) )).
% 2.09/2.26 cnf(matrix-17, plain, ( _def3(_u14, _u13) | ~p1(skolem5(_u14, _u13)) )).
% 2.09/2.26 cnf(matrix-18, plain, ( _def4(_u16) | r1(_u16, skolem6(_u16)) )).
% 2.09/2.26
% 2.09/2.26 % Proof stack:
% 2.09/2.26 cnf(proof-stack, plain,
% 2.09/2.26 proof_stack(
% 2.09/2.26 start(3),
% 2.09/2.26 left_branch(0, 5, 0, 2),
% 2.09/2.26 right_branch(2),
% 2.09/2.26 left_branch(0, 17, 0, 3),
% 2.09/2.26 left_branch(0, 9, 1, 4),
% 2.09/2.26 left_branch(0, 16, 1, 5),
% 2.09/2.26 reduction(0, 0),
% 2.09/2.26 right_branch(5),
% 2.09/2.26 right_branch(4),
% 2.09/2.26 right_branch(3),
% 2.09/2.26 left_branch(0, 0, 0, 4),
% 2.09/2.26 right_branch(4),
% 2.09/2.26 left_branch(0, 15, 0, 5),
% 2.09/2.26 left_branch(0, 13, 1, 6),
% 2.09/2.26 left_branch(0, 2, 3, 7),
% 2.09/2.26 left_branch(0, 5, 0, 8),
% 2.09/2.26 right_branch(8),
% 2.09/2.26 left_branch(0, 7, 0, 9),
% 2.09/2.26 right_branch(9),
% 2.09/2.26 left_branch(0, 8, 0, 10),
% 2.09/2.26 right_branch(10),
% 2.09/2.26 left_branch(0, 14, 1, 11),
% 2.09/2.26 reduction(0, 0),
% 2.09/2.26 right_branch(11),
% 2.09/2.26 left_branch(0, 6, 0, 12),
% 2.09/2.26 right_branch(12),
% 2.09/2.26 right_branch(7),
% 2.09/2.26 right_branch(6),
% 2.09/2.26 left_branch(0, 12, 1, 7),
% 2.09/2.26 left_branch(0, 2, 3, 8),
% 2.09/2.26 lemmata(0, 0),
% 2.09/2.26 left_branch(0, 7, 0, 10),
% 2.09/2.26 right_branch(10),
% 2.09/2.26 left_branch(0, 8, 0, 11),
% 2.09/2.26 right_branch(11),
% 2.09/2.26 left_branch(0, 14, 1, 12),
% 2.09/2.26 reduction(0, 0),
% 2.09/2.26 right_branch(12),
% 2.09/2.26 left_branch(0, 6, 0, 13),
% 2.09/2.26 right_branch(13),
% 2.09/2.26 right_branch(8),
% 2.09/2.26 right_branch(7),
% 2.09/2.26 right_branch(5),
% 2.09/2.26 left_branch(0, 6, 0, 6),
% 2.09/2.26 right_branch(6)
% 2.09/2.26 )).
% 2.09/2.26 % SZS output end Proof for theBenchmark
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