TSTP Solution File: SYN059+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Wed Mar 6 09:26:55 EST 2024
% Result : Theorem 1.29s 1.51s
% Output : Proof 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Sun Mar 3 21:19:52 EST 2024
% 0.12/0.33 % CPUTime :
% 1.29/1.51 % SZS status Theorem for theBenchmark
% 1.29/1.51 % SZS output start Proof for theBenchmark
% 1.29/1.51
% 1.29/1.51 % Formula: pel29_1 ( axiom ) converted to clauses:
% 1.29/1.51 cnf(pel29_1-1, axiom, ( big_f(skolem1) )).
% 1.29/1.51
% 1.29/1.51 % Formula: pel29_2 ( axiom ) converted to clauses:
% 1.29/1.51 cnf(pel29_2-1, axiom, ( big_g(skolem2) )).
% 1.29/1.51
% 1.29/1.51 % Formula: pel29 ( conjecture ) converted to clauses:
% 1.29/1.51 cnf(pel29-1, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(pel29-2, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(pel29-3, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(pel29-4, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(pel29-5, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-6, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-7, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-8, negated_conjecture, ( ~big_f(_u2) | big_h(_u2) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-9, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-10, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-11, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-12, negated_conjecture, ( ~big_g(_u3) | big_j(_u3) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-13, negated_conjecture, ( big_f(skolem3) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(pel29-14, negated_conjecture, ( big_f(skolem3) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(pel29-15, negated_conjecture, ( big_g(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(pel29-16, negated_conjecture, ( big_g(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(pel29-17, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(pel29-18, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(pel29-19, negated_conjecture, ( big_f(skolem3) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-20, negated_conjecture, ( big_f(skolem3) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-21, negated_conjecture, ( big_f(skolem3) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-22, negated_conjecture, ( big_f(skolem3) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-23, negated_conjecture, ( big_g(skolem4) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-24, negated_conjecture, ( big_g(skolem4) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-25, negated_conjecture, ( big_g(skolem4) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-26, negated_conjecture, ( big_g(skolem4) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-27, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-28, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(pel29-29, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(pel29-30, negated_conjecture, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51
% 1.29/1.51 % Problem matrix:
% 1.29/1.51 cnf(matrix-0, plain, ( big_f(skolem1) )).
% 1.29/1.51 cnf(matrix-1, plain, ( big_g(skolem2) )).
% 1.29/1.51 cnf(matrix-2, plain, ( ~big_f(_u2) | big_h(_u2) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(matrix-3, plain, ( ~big_f(_u2) | big_h(_u2) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(matrix-4, plain, ( ~big_g(_u3) | big_j(_u3) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(matrix-5, plain, ( ~big_g(_u3) | big_j(_u3) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(matrix-6, plain, ( ~big_f(_u2) | big_h(_u2) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-7, plain, ( ~big_f(_u2) | big_h(_u2) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-8, plain, ( ~big_f(_u2) | big_h(_u2) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-9, plain, ( ~big_f(_u2) | big_h(_u2) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-10, plain, ( ~big_g(_u3) | big_j(_u3) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-11, plain, ( ~big_g(_u3) | big_j(_u3) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-12, plain, ( ~big_g(_u3) | big_j(_u3) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-13, plain, ( ~big_g(_u3) | big_j(_u3) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-14, plain, ( big_f(skolem3) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(matrix-15, plain, ( big_f(skolem3) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(matrix-16, plain, ( big_g(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(matrix-17, plain, ( big_g(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(matrix-18, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_h(_u7) )).
% 1.29/1.51 cnf(matrix-19, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_f(_u7) | ~big_g(_u6) | big_j(_u6) )).
% 1.29/1.51 cnf(matrix-20, plain, ( big_f(skolem3) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-21, plain, ( big_f(skolem3) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-22, plain, ( big_f(skolem3) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-23, plain, ( big_f(skolem3) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-24, plain, ( big_g(skolem4) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-25, plain, ( big_g(skolem4) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-26, plain, ( big_g(skolem4) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-27, plain, ( big_g(skolem4) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-28, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | big_f(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-29, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | big_f(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51 cnf(matrix-30, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_h(skolem5) | big_g(skolem6) )).
% 1.29/1.51 cnf(matrix-31, plain, ( ~big_h(skolem3) | ~big_j(skolem4) | ~big_h(skolem5) | ~big_j(skolem6) )).
% 1.29/1.51
% 1.29/1.51 % Proof stack:
% 1.29/1.51 cnf(proof-stack, plain,
% 1.29/1.51 proof_stack(
% 1.29/1.51 start(31),
% 1.29/1.51 left_branch(0, 14, 3, 2),
% 1.29/1.51 left_branch(0, 16, 1, 3),
% 1.29/1.51 left_branch(0, 2, 3, 4),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(4),
% 1.29/1.51 left_branch(0, 16, 0, 5),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 16, 0, 7),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 1, 0, 9),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(5),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 right_branch(3),
% 1.29/1.51 left_branch(0, 22, 2, 4),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 14, 3, 6),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 1, 0, 8),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 left_branch(0, 20, 1, 9),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 right_branch(4),
% 1.29/1.51 left_branch(0, 23, 0, 5),
% 1.29/1.51 left_branch(0, 15, 3, 6),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 15, 0, 9),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 0, 0, 12),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 left_branch(0, 14, 3, 7),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 1, 0, 9),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 left_branch(0, 21, 1, 10),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 right_branch(5),
% 1.29/1.51 right_branch(2),
% 1.29/1.51 left_branch(0, 17, 3, 3),
% 1.29/1.51 left_branch(0, 18, 3, 4),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 30, 2, 6),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 5, 3, 8),
% 1.29/1.51 reduction(0, 3),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 0, 0, 11),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 left_branch(0, 12, 1, 9),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 left_branch(0, 28, 2, 7),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 5, 3, 9),
% 1.29/1.51 reduction(0, 3),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 0, 0, 12),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 left_branch(0, 10, 1, 10),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 left_branch(0, 15, 3, 8),
% 1.29/1.51 left_branch(0, 5, 2, 9),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 lemmata(0, 5),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 left_branch(0, 15, 0, 11),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 lemmata(0, 4),
% 1.29/1.51 left_branch(0, 0, 0, 14),
% 1.29/1.51 right_branch(14),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 right_branch(4),
% 1.29/1.51 left_branch(0, 30, 3, 5),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 16, 3, 7),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 1, 0, 9),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 left_branch(0, 24, 1, 10),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 left_branch(0, 17, 3, 8),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 26, 0, 10),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 left_branch(0, 24, 1, 11),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 right_branch(5),
% 1.29/1.51 left_branch(0, 28, 2, 6),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 17, 2, 8),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 15, 0, 11),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 left_branch(0, 0, 0, 14),
% 1.29/1.51 right_branch(14),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 left_branch(0, 17, 3, 9),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 24, 0, 11),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 left_branch(0, 24, 1, 12),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 right_branch(3),
% 1.29/1.51 left_branch(0, 18, 4, 4),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 28, 3, 6),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 19, 2, 8),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 16, 0, 10),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 1, 0, 12),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 left_branch(0, 18, 1, 11),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 left_branch(0, 1, 0, 13),
% 1.29/1.51 right_branch(13),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 left_branch(0, 4, 1, 12),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 left_branch(0, 1, 0, 14),
% 1.29/1.51 right_branch(14),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 left_branch(0, 17, 3, 9),
% 1.29/1.51 left_branch(0, 11, 0, 10),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 left_branch(0, 25, 0, 11),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 left_branch(0, 25, 1, 12),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 left_branch(0, 29, 2, 7),
% 1.29/1.51 lemmata(0, 0),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 17, 3, 10),
% 1.29/1.51 left_branch(0, 11, 0, 11),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 left_branch(0, 25, 0, 12),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 left_branch(0, 25, 1, 13),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(13),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 left_branch(0, 17, 3, 8),
% 1.29/1.51 left_branch(0, 15, 2, 9),
% 1.29/1.51 left_branch(0, 5, 2, 10),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 reduction(0, 2),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 lemmata(0, 6),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 left_branch(0, 21, 1, 12),
% 1.29/1.51 lemmata(0, 4),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 left_branch(0, 25, 0, 10),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 left_branch(0, 16, 1, 12),
% 1.29/1.51 lemmata(0, 4),
% 1.29/1.51 left_branch(0, 1, 0, 14),
% 1.29/1.51 right_branch(14),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 right_branch(12),
% 1.29/1.51 right_branch(10),
% 1.29/1.51 left_branch(0, 25, 1, 11),
% 1.29/1.51 lemmata(0, 4),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(11),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 right_branch(4),
% 1.29/1.51 left_branch(0, 17, 3, 5),
% 1.29/1.51 left_branch(0, 15, 2, 6),
% 1.29/1.51 left_branch(0, 5, 2, 7),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 1),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 lemmata(0, 5),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 reduction(0, 0),
% 1.29/1.51 left_branch(0, 23, 0, 9),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(9),
% 1.29/1.51 right_branch(6),
% 1.29/1.51 left_branch(0, 27, 0, 7),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 lemmata(0, 2),
% 1.29/1.51 right_branch(7),
% 1.29/1.51 left_branch(0, 25, 1, 8),
% 1.29/1.51 lemmata(0, 3),
% 1.29/1.51 lemmata(0, 1),
% 1.29/1.51 right_branch(8),
% 1.29/1.51 right_branch(5)
% 1.29/1.51 )).
% 1.29/1.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------