TSTP Solution File: GRP125-3.005 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP125-3.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 : 600s
% DateTime : Sat Jul 16 11:17:24 EDT 2022
% Result : Unsatisfiable 13.95s 14.29s
% Output : Refutation 13.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP125-3.005 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.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 : 600
% 0.12/0.33 % DateTime : Mon Jun 13 15:00:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.98 ============================== Prover9 ===============================
% 0.42/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.98 Process 28783 was started by sandbox on n028.cluster.edu,
% 0.42/0.98 Mon Jun 13 15:00:38 2022
% 0.42/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28630_n028.cluster.edu".
% 0.42/0.98 ============================== end of head ===========================
% 0.42/0.98
% 0.42/0.98 ============================== INPUT =================================
% 0.42/0.98
% 0.42/0.98 % Reading from file /tmp/Prover9_28630_n028.cluster.edu
% 0.42/0.98
% 0.42/0.98 set(prolog_style_variables).
% 0.42/0.98 set(auto2).
% 0.42/0.98 % set(auto2) -> set(auto).
% 0.42/0.98 % set(auto) -> set(auto_inference).
% 0.42/0.98 % set(auto) -> set(auto_setup).
% 0.42/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.42/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.98 % set(auto) -> set(auto_limits).
% 0.42/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.98 % set(auto) -> set(auto_denials).
% 0.42/0.98 % set(auto) -> set(auto_process).
% 0.42/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.42/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.42/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.42/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.42/0.98 % set(auto2) -> assign(stats, some).
% 0.42/0.98 % set(auto2) -> clear(echo_input).
% 0.42/0.98 % set(auto2) -> set(quiet).
% 0.42/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.98 % set(auto2) -> clear(print_given).
% 0.42/0.98 assign(lrs_ticks,-1).
% 0.42/0.98 assign(sos_limit,10000).
% 0.42/0.98 assign(order,kbo).
% 0.42/0.98 set(lex_order_vars).
% 0.42/0.98 clear(print_given).
% 0.42/0.98
% 0.42/0.98 % formulas(sos). % not echoed (58 formulas)
% 0.42/0.98
% 0.42/0.98 ============================== end of input ==========================
% 0.42/0.98
% 0.42/0.98 % From the command line: assign(max_seconds, 300).
% 0.42/0.98
% 0.42/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.98
% 0.42/0.98 % Formulas that are not ordinary clauses:
% 0.42/0.98
% 0.42/0.98 ============================== end of process non-clausal formulas ===
% 0.42/0.98
% 0.42/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.98
% 0.42/0.98 ============================== PREDICATE ELIMINATION =================
% 0.42/0.98 1 -cycle(A,B) | -cycle(A,C) | equalish(B,C) # label(cycle1) # label(axiom). [assumption].
% 0.42/0.98 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.42/0.98 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.42/0.98 4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 0.42/0.98 5 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom). [assumption].
% 0.42/0.98 6 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.42/0.98 7 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.42/0.98 8 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 0.42/0.98 9 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom). [assumption].
% 0.42/0.98 10 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 0.42/0.98 11 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 0.42/0.98 12 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 0.42/0.98 13 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom). [assumption].
% 0.42/0.98 14 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom). [assumption].
% 0.42/0.98 15 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom). [assumption].
% 0.42/0.98 16 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 0.42/0.98 17 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom). [assumption].
% 0.42/0.98 18 -equalish(e_5,e_1) # label(e_5_is_not_e_1) # label(axiom). [assumption].
% 0.42/0.98 19 -equalish(e_5,e_2) # label(e_5_is_not_e_2) # label(axiom). [assumption].
% 0.42/0.98 20 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom). [assumption].
% 0.42/0.98 21 -equalish(e_5,e_4) # label(e_5_is_not_e_4) # label(axiom). [assumption].
% 0.42/0.98 Derived: -cycle(A,e_1) | -cycle(A,e_2). [resolve(1,c,2,a)].
% 0.42/0.98 Derived: -cycle(A,e_1) | -cycle(A,e_3). [resolve(1,c,3,a)].
% 0.42/0.98 Derived: -cycle(A,e_1) | -cycle(A,e_4). [resolve(1,c,4,a)].
% 0.42/0.98 Derived: -cycle(A,e_1) | -cycle(A,e_5). [resolve(1,c,5,a)].
% 0.42/0.98 Derived: -cycle(A,e_2) | -cycle(A,e_3). [resolve(1,c,7,a)].
% 0.42/0.98 Derived: -cycle(A,e_2) | -cycle(A,e_4). [resolve(1,c,8,a)].
% 0.42/0.98 Derived: -cycle(A,e_2) | -cycle(A,e_5). [resolve(1,c,9,a)].
% 0.42/0.98 Derived: -cycle(A,e_3) | -cycle(A,e_4). [resolve(1,c,12,a)].
% 0.42/0.98 Derived: -cycle(A,e_3) | -cycle(A,e_5). [resolve(1,c,13,a)].
% 0.42/0.98 Derived: -cycle(A,e_4) | -cycle(A,e_5). [resolve(1,c,17,a)].
% 0.42/0.98 22 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.42/0.98 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(22,c,2,a)].
% 0.42/0.98 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(22,c,3,a)].
% 0.42/0.98 Derived: -product(A,B,e_1) | -product(A,B,e_4). [resolve(22,c,4,a)].
% 0.42/0.98 Derived: -product(A,B,e_1) | -product(A,B,e_5). [resolve(22,c,5,a)].
% 0.42/0.98 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(22,c,7,a)].
% 0.42/0.98 Derived: -product(A,B,e_2) | -product(A,B,e_4). [resolve(22,c,8,a)].
% 0.42/0.98 Derived: -product(A,B,e_2) | -product(A,B,e_5). [resolve(22,c,9,a)].
% 0.42/0.98 Derived: -product(A,B,e_3) | -product(A,B,e_4). [resolve(22,c,12,a)].
% 0.42/0.98 Derived: -product(A,B,e_3) | -product(A,B,e_5). [resolve(22,c,13,a)].
% 0.42/0.98 Derived: -product(A,B,e_4) | -product(A,B,e_5). [resolve(22,c,17,a)].
% 0.42/0.98 23 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.42/0.98 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(23,c,2,a)].
% 0.42/0.98 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(23,c,3,a)].
% 0.42/0.98 Derived: -product(A,e_1,B) | -product(A,e_4,B). [resolve(23,c,4,a)].
% 0.42/0.98 Derived: -product(A,e_1,B) | -product(A,e_5,B). [resolve(23,c,5,a)].
% 0.42/0.98 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(23,c,7,a)].
% 0.42/0.98 Derived: -product(A,e_2,B) | -product(A,e_4,B). [resolve(23,c,8,a)].
% 0.42/0.98 Derived: -product(A,e_2,B) | -product(A,e_5,B). [resolve(23,c,9,a)].
% 0.42/0.98 Derived: -product(A,e_3,B) | -product(A,e_4,B). [resolve(23,c,12,a)].
% 0.42/0.98 Derived: -product(A,e_3,B) | -product(A,e_5,B). [resolve(23,c,13,a)].
% 0.42/0.98 Derived: -product(A,e_4,B) | -product(A,e_5,B). [resolve(23,c,17,a)].
% 0.42/0.98 24 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.42/0.98 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(24,c,2,a)].
% 0.42/0.98 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(24,c,3,a)].
% 0.42/0.98 Derived: -product(e_1,A,B) | -product(e_4,A,B). [resolve(24,c,4,a)].
% 0.42/0.98 Derived: -product(e_1,A,B) | -product(e_5,A,B). [resolve(24,c,5,a)].
% 0.42/0.98 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(24,c,7,a)].
% 0.42/0.98 Derived: -product(e_2,A,B) | -product(e_4,A,B). [resolve(24,c,8,a)].
% 0.42/0.98 Derived: -product(e_2,A,B) | -product(e_5,A,B). [resolve(24,c,9,a)].
% 0.42/0.98 Derived: -product(e_3,A,B) | -product(e_4,A,B). [resolve(24,c,12,a)].
% 0.42/0.98 Derived: -product(e_3,A,B) | -product(e_5,A,B). [resolve(24,c,13,a)].
% 0.42/0.98 Derived: -product(e_4,A,B) | -product(e_5,A,B). [resolve(24,c,17,a)].
% 0.42/0.98 25 -cycle(A,B) | -product(A,e_1,C) | -greater(B,e_0) | -next(A,D) | equalish(C,D) # label(cycle7) # label(axiom). [assumption].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_2). [resolve(25,e,2,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,3,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_4). [resolve(25,e,4,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,5,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_1). [resolve(25,e,6,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,7,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_4). [resolve(25,e,8,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,9,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_1). [resolve(25,e,10,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_2). [resolve(25,e,11,a)].
% 0.42/0.98 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_4). [resolve(25,e,12,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,13,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_1). [resolve(25,e,14,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_2). [resolve(25,e,15,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,16,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,17,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_5) | -greater(B,e_0) | -next(A,e_1). [resolve(25,e,18,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_5) | -greater(B,e_0) | -next(A,e_2). [resolve(25,e,19,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_5) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,20,a)].
% 4.05/4.34 Derived: -cycle(A,B) | -product(A,e_1,e_5) | -greater(B,e_0) | -next(A,e_4). [resolve(25,e,21,a)].
% 4.05/4.34 26 -cycle(A,B) | -cycle(C,D) | -next(A,C) | -greater(B,e_0) | -next(D,E) | equalish(B,E) # label(cycle4) # label(axiom). [assumption].
% 4.05/4.34 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_2). [resolve(26,f,2,a)].
% 4.05/4.34 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_3). [resolve(26,f,3,a)].
% 4.05/4.34 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_4). [resolve(26,f,4,a)].
% 4.05/4.34 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_5). [resolve(26,f,5,a)].
% 4.05/4.34 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_1). [resolve(26,f,6,a)].
% 4.05/4.34 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_3). [resolve(26,f,7,a)].
% 4.05/4.34 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_4). [resolve(26,f,8,a)].
% 4.05/4.34 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_5). [resolve(26,f,9,a)].
% 4.05/4.34 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_1). [resolve(26,f,10,a)].
% 4.05/4.34 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_2). [resolve(26,f,11,a)].
% 4.05/4.34 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_4). [resolve(26,f,12,a)].
% 4.05/4.34 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_5). [resolve(26,f,13,a)].
% 4.05/4.34 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_1). [resolve(26,f,14,a)].
% 4.05/4.34 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_2). [resolve(26,f,15,a)].
% 4.05/4.34 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_3). [resolve(26,f,16,a)].
% 4.05/4.34 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_5). [resolve(26,f,17,a)].
% 4.05/4.34 Derived: -cycle(A,e_5) | -cycle(B,C) | -next(A,B) | -greater(e_5,e_0) | -next(C,e_1). [resolve(26,f,18,a)].
% 4.05/4.34 Derived: -cycle(A,e_5) | -cycle(B,C) | -next(A,B) | -greater(e_5,e_0) | -next(C,e_2). [resolve(26,f,19,a)].
% 4.05/4.34 Derived: -cycle(A,e_5) | -cycle(B,C) | -next(A,B) | -greater(e_5,e_0) | -next(C,e_3). [resolve(26,f,20,a)].
% 4.05/4.34 Derived: -cycle(A,e_5) | -cycle(B,C) | -next(A,B) | -greater(e_5,e_0) | -next(C,e_4). [resolve(26,f,21,a)].
% 4.05/4.34
% 4.05/4.34 ============================== end predicate elimination =============
% 4.05/4.34
% 4.05/4.34 Auto_denials: (non-Horn, no changes).
% 4.05/4.34
% 4.05/4.34 Term ordering decisions:
% 4.05/4.34 Function symbol KB weights: e_1=1. e_2=1. e_3=1. e_4=1. e_5=1. e_0=1.
% 4.05/4.34
% 4.05/4.34 ============================== end of process initial clauses ========
% 4.05/4.34
% 4.05/4.34 ============================== CLAUSES FOR SEARCH ====================
% 4.05/4.34
% 4.05/4.34 ============================== end of clauses for search =============
% 4.05/4.34
% 4.05/4.34 ============================== SEARCH ================================
% 4.05/4.34
% 4.05/4.34 % Starting search at 0.02 seconds.
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=56.000, iters=3341
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=55.000, iters=3342
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=54.000, iters=3342
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=52.000, iters=3343
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=51.000, iters=3350
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=50.000, iters=3421
% 4.05/4.34
% 4.05/4.34 Low Water (keep): wt=48.000, iters=3336
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=47.000, iters=3338
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=46.000, iters=3333
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=44.000, iters=3335
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=43.000, iters=3362
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=42.000, iters=3351
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=41.000, iters=3340
% 13.95/14.29
% 13.95/14.29 Low Water (keep): wt=40.000, iters=3338
% 13.95/14.29
% 13.95/14.29 ============================== PROOF =================================
% 13.95/14.29 % SZS status Unsatisfiable
% 13.95/14.29 % SZS output start Refutation
% 13.95/14.29
% 13.95/14.29 % Proof 1 at 13.09 (+ 0.24) seconds.
% 13.95/14.29 % Length of proof is 438.
% 13.95/14.29 % Level of proof is 100.
% 13.95/14.29 % Maximum clause weight is 32.000.
% 13.95/14.29 % Given clauses 8834.
% 13.95/14.29
% 13.95/14.29 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 13.95/14.29 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 13.95/14.29 4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 13.95/14.29 5 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom). [assumption].
% 13.95/14.29 6 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 13.95/14.29 7 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 13.95/14.29 8 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 13.95/14.29 9 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom). [assumption].
% 13.95/14.29 10 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 13.95/14.29 11 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 13.95/14.29 12 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 13.95/14.29 13 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom). [assumption].
% 13.95/14.29 14 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom). [assumption].
% 13.95/14.29 15 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom). [assumption].
% 13.95/14.29 16 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 13.95/14.29 17 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom). [assumption].
% 13.95/14.29 20 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom). [assumption].
% 13.95/14.29 22 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 13.95/14.29 23 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 13.95/14.29 24 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 13.95/14.29 25 -cycle(A,B) | -product(A,e_1,C) | -greater(B,e_0) | -next(A,D) | equalish(C,D) # label(cycle7) # label(axiom). [assumption].
% 13.95/14.29 26 -cycle(A,B) | -cycle(C,D) | -next(A,C) | -greater(B,e_0) | -next(D,E) | equalish(B,E) # label(cycle4) # label(axiom). [assumption].
% 13.95/14.29 27 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 13.95/14.29 28 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 13.95/14.29 29 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 13.95/14.29 30 group_element(e_4) # label(element_4) # label(axiom). [assumption].
% 13.95/14.29 31 group_element(e_5) # label(element_5) # label(axiom). [assumption].
% 13.95/14.29 32 next(e_0,e_1) # label(e_0_then_e_1) # label(axiom). [assumption].
% 13.95/14.29 33 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 13.95/14.29 34 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 13.95/14.29 35 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom). [assumption].
% 13.95/14.29 36 next(e_4,e_5) # label(e_4_then_e_5) # label(axiom). [assumption].
% 13.95/14.29 37 greater(e_1,e_0) # label(e_1_greater_e_0) # label(axiom). [assumption].
% 13.95/14.29 38 greater(e_2,e_0) # label(e_2_greater_e_0) # label(axiom). [assumption].
% 13.95/14.29 39 greater(e_3,e_0) # label(e_3_greater_e_0) # label(axiom). [assumption].
% 13.95/14.29 40 greater(e_4,e_0) # label(e_4_greater_e_0) # label(axiom). [assumption].
% 13.95/14.29 46 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 13.95/14.29 47 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 13.95/14.29 48 greater(e_5,e_2) # label(e_5_greater_e_2) # label(axiom). [assumption].
% 13.95/14.29 49 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom). [assumption].
% 13.95/14.29 50 greater(e_5,e_3) # label(e_5_greater_e_3) # label(axiom). [assumption].
% 13.95/14.29 52 cycle(e_5,e_0) # label(cycle3) # label(axiom). [assumption].
% 13.95/14.29 53 product(A,A,A) # label(product_idempotence) # label(axiom). [assumption].
% 13.95/14.29 54 -cycle(A,e_0) | -product(A,e_1,B) | -greater(B,A) # label(cycle6) # label(axiom). [assumption].
% 13.95/14.29 55 -cycle(A,B) | -cycle(C,e_0) | -cycle(D,E) | -next(C,D) | -greater(C,A) | -greater(B,E) # label(cycle5) # label(axiom). [assumption].
% 13.95/14.29 56 -product(A,B,C) | -product(B,A,D) | product(C,D,A) # label(qg3) # label(negated_conjecture). [assumption].
% 13.95/14.29 57 -group_element(A) | cycle(A,e_0) | cycle(A,e_1) | cycle(A,e_2) | cycle(A,e_3) | cycle(A,e_4) # label(cycle2) # label(axiom). [assumption].
% 13.95/14.29 58 -group_element(A) | -group_element(B) | product(A,B,e_1) | product(A,B,e_2) | product(A,B,e_3) | product(A,B,e_4) | product(A,B,e_5) # label(product_total_function1) # label(axiom). [assumption].
% 13.95/14.29 69 -product(A,B,e_1) | -product(A,B,e_2). [resolve(22,c,2,a)].
% 13.95/14.29 70 -product(A,B,e_1) | -product(A,B,e_3). [resolve(22,c,3,a)].
% 13.95/14.29 71 -product(A,B,e_1) | -product(A,B,e_4). [resolve(22,c,4,a)].
% 13.95/14.29 72 -product(A,B,e_1) | -product(A,B,e_5). [resolve(22,c,5,a)].
% 13.95/14.29 73 -product(A,B,e_2) | -product(A,B,e_3). [resolve(22,c,7,a)].
% 13.95/14.29 74 -product(A,B,e_2) | -product(A,B,e_4). [resolve(22,c,8,a)].
% 13.95/14.29 75 -product(A,B,e_2) | -product(A,B,e_5). [resolve(22,c,9,a)].
% 13.95/14.29 77 -product(A,B,e_3) | -product(A,B,e_5). [resolve(22,c,13,a)].
% 13.95/14.29 78 -product(A,B,e_4) | -product(A,B,e_5). [resolve(22,c,17,a)].
% 13.95/14.29 79 -product(A,e_1,B) | -product(A,e_2,B). [resolve(23,c,2,a)].
% 13.95/14.29 80 -product(A,e_1,B) | -product(A,e_3,B). [resolve(23,c,3,a)].
% 13.95/14.29 81 -product(A,e_1,B) | -product(A,e_4,B). [resolve(23,c,4,a)].
% 13.95/14.29 82 -product(A,e_1,B) | -product(A,e_5,B). [resolve(23,c,5,a)].
% 13.95/14.29 83 -product(A,e_2,B) | -product(A,e_3,B). [resolve(23,c,7,a)].
% 13.95/14.29 84 -product(A,e_2,B) | -product(A,e_4,B). [resolve(23,c,8,a)].
% 13.95/14.29 85 -product(A,e_2,B) | -product(A,e_5,B). [resolve(23,c,9,a)].
% 13.95/14.29 86 -product(A,e_3,B) | -product(A,e_4,B). [resolve(23,c,12,a)].
% 13.95/14.29 87 -product(A,e_3,B) | -product(A,e_5,B). [resolve(23,c,13,a)].
% 13.95/14.29 88 -product(A,e_4,B) | -product(A,e_5,B). [resolve(23,c,17,a)].
% 13.95/14.29 89 -product(e_1,A,B) | -product(e_2,A,B). [resolve(24,c,2,a)].
% 13.95/14.29 90 -product(e_1,A,B) | -product(e_3,A,B). [resolve(24,c,3,a)].
% 13.95/14.29 91 -product(e_1,A,B) | -product(e_4,A,B). [resolve(24,c,4,a)].
% 13.95/14.29 92 -product(e_1,A,B) | -product(e_5,A,B). [resolve(24,c,5,a)].
% 13.95/14.29 93 -product(e_2,A,B) | -product(e_3,A,B). [resolve(24,c,7,a)].
% 13.95/14.29 94 -product(e_2,A,B) | -product(e_4,A,B). [resolve(24,c,8,a)].
% 13.95/14.29 95 -product(e_2,A,B) | -product(e_5,A,B). [resolve(24,c,9,a)].
% 13.95/14.29 96 -product(e_3,A,B) | -product(e_4,A,B). [resolve(24,c,12,a)].
% 13.95/14.29 97 -product(e_3,A,B) | -product(e_5,A,B). [resolve(24,c,13,a)].
% 13.95/14.29 98 -product(e_4,A,B) | -product(e_5,A,B). [resolve(24,c,17,a)].
% 13.95/14.29 105 -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_4). [resolve(25,e,8,a)].
% 13.95/14.29 106 -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,9,a)].
% 13.95/14.29 110 -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_5). [resolve(25,e,13,a)].
% 13.95/14.29 113 -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,16,a)].
% 13.95/14.29 117 -cycle(A,B) | -product(A,e_1,e_5) | -greater(B,e_0) | -next(A,e_3). [resolve(25,e,20,a)].
% 13.95/14.29 119 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_2). [resolve(26,f,2,a)].
% 13.95/14.29 120 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -next(C,e_2). [copy(119),unit_del(d,37)].
% 13.95/14.29 121 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_3). [resolve(26,f,3,a)].
% 13.95/14.29 122 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -next(C,e_3). [copy(121),unit_del(d,37)].
% 13.95/14.29 123 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_4). [resolve(26,f,4,a)].
% 13.95/14.29 124 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -next(C,e_4). [copy(123),unit_del(d,37)].
% 13.95/14.29 125 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_5). [resolve(26,f,5,a)].
% 13.95/14.29 126 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -next(C,e_5). [copy(125),unit_del(d,37)].
% 13.95/14.29 127 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_1). [resolve(26,f,6,a)].
% 13.95/14.29 128 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -next(C,e_1). [copy(127),unit_del(d,38)].
% 13.95/14.29 129 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_3). [resolve(26,f,7,a)].
% 13.95/14.29 130 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -next(C,e_3). [copy(129),unit_del(d,38)].
% 13.95/14.29 135 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_1). [resolve(26,f,10,a)].
% 13.95/14.29 136 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -next(C,e_1). [copy(135),unit_del(d,39)].
% 13.95/14.29 137 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_2). [resolve(26,f,11,a)].
% 13.95/14.29 138 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -next(C,e_2). [copy(137),unit_del(d,39)].
% 13.95/14.29 143 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_1). [resolve(26,f,14,a)].
% 13.95/14.29 144 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -next(C,e_1). [copy(143),unit_del(d,40)].
% 13.95/14.29 145 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_2). [resolve(26,f,15,a)].
% 13.95/14.29 146 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -next(C,e_2). [copy(145),unit_del(d,40)].
% 13.95/14.29 147 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_3). [resolve(26,f,16,a)].
% 13.95/14.29 148 -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -next(C,e_3). [copy(147),unit_del(d,40)].
% 13.95/14.29 163 -product(A,A,B) | product(B,B,A). [factor(56,a,b)].
% 13.95/14.29 167 -cycle(A,e_1) | -cycle(e_3,A) | -next(A,e_3). [factor(122,c,d)].
% 13.95/14.29 173 -cycle(A,e_2) | -cycle(e_3,A) | -next(A,e_3). [factor(130,c,d)].
% 13.95/14.29 188 -cycle(A,e_4) | -cycle(e_3,A) | -next(A,e_3). [factor(148,c,d)].
% 13.95/14.29 205 -cycle(A,B) | -cycle(e_4,e_0) | -cycle(e_5,C) | -greater(e_4,A) | -greater(B,C). [resolve(55,d,36,a)].
% 13.95/14.29 227 cycle(e_4,e_0) | cycle(e_4,e_1) | cycle(e_4,e_2) | cycle(e_4,e_3) | cycle(e_4,e_4). [resolve(57,a,30,a)].
% 13.95/14.29 228 cycle(e_3,e_0) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(57,a,29,a)].
% 13.95/14.29 229 cycle(e_2,e_0) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4). [resolve(57,a,28,a)].
% 13.95/14.29 231 -group_element(A) | product(e_5,A,e_1) | product(e_5,A,e_2) | product(e_5,A,e_3) | product(e_5,A,e_4) | product(e_5,A,e_5). [resolve(58,a,31,a)].
% 13.95/14.29 232 -group_element(A) | product(e_4,A,e_1) | product(e_4,A,e_2) | product(e_4,A,e_3) | product(e_4,A,e_4) | product(e_4,A,e_5). [resolve(58,a,30,a)].
% 13.95/14.29 233 -group_element(A) | product(e_3,A,e_1) | product(e_3,A,e_2) | product(e_3,A,e_3) | product(e_3,A,e_4) | product(e_3,A,e_5). [resolve(58,a,29,a)].
% 13.95/14.29 234 -group_element(A) | product(e_2,A,e_1) | product(e_2,A,e_2) | product(e_2,A,e_3) | product(e_2,A,e_4) | product(e_2,A,e_5). [resolve(58,a,28,a)].
% 13.95/14.29 235 -group_element(A) | product(e_1,A,e_1) | product(e_1,A,e_2) | product(e_1,A,e_3) | product(e_1,A,e_4) | product(e_1,A,e_5). [resolve(58,a,27,a)].
% 13.95/14.29 241 -product(e_2,e_2,e_1). [resolve(69,b,53,a)].
% 13.95/14.29 242 -product(e_3,e_3,e_1). [resolve(70,b,53,a)].
% 13.95/14.29 244 -product(e_5,e_5,e_1). [resolve(72,b,53,a)].
% 13.95/14.29 245 -product(e_3,e_3,e_2). [resolve(73,b,53,a)].
% 13.95/14.29 246 -product(e_4,e_4,e_2). [resolve(74,b,53,a)].
% 13.95/14.29 247 -product(e_5,e_5,e_2). [resolve(75,b,53,a)].
% 13.95/14.29 249 -product(e_5,e_5,e_3). [resolve(77,b,53,a)].
% 13.95/14.29 250 -product(e_5,e_5,e_4). [resolve(78,b,53,a)].
% 13.95/14.29 251 -product(e_2,e_1,e_2). [resolve(79,b,53,a)].
% 13.95/14.29 252 -product(e_3,e_1,e_3). [resolve(80,b,53,a)].
% 13.95/14.29 253 -product(e_4,e_1,e_4). [resolve(81,b,53,a)].
% 13.95/14.29 256 -product(e_4,e_2,e_4). [resolve(84,b,53,a)].
% 13.95/14.29 257 -product(e_5,e_2,e_5). [resolve(85,b,53,a)].
% 13.95/14.30 258 -product(e_4,e_3,e_4). [resolve(86,b,53,a)].
% 13.95/14.30 259 -product(e_5,e_3,e_5). [resolve(87,b,53,a)].
% 13.95/14.30 260 -product(e_5,e_4,e_5). [resolve(88,b,53,a)].
% 13.95/14.30 261 -product(e_1,e_2,e_2). [resolve(89,b,53,a)].
% 13.95/14.30 262 -product(e_1,e_3,e_3). [resolve(90,b,53,a)].
% 13.95/14.30 263 -product(e_1,e_4,e_4). [resolve(91,b,53,a)].
% 13.95/14.30 266 -product(e_2,e_4,e_4). [resolve(94,b,53,a)].
% 13.95/14.30 267 -product(e_2,e_5,e_5). [resolve(95,b,53,a)].
% 13.95/14.30 268 -product(e_3,e_4,e_4). [resolve(96,b,53,a)].
% 13.95/14.30 269 -product(e_3,e_5,e_5). [resolve(97,b,53,a)].
% 13.95/14.30 270 -product(e_4,e_5,e_5). [resolve(98,b,53,a)].
% 13.95/14.30 273 -cycle(e_3,e_1) | -cycle(e_4,A) | -next(A,e_2). [resolve(120,c,35,a)].
% 13.95/14.30 274 -cycle(e_2,e_1) | -cycle(e_3,A) | -next(A,e_2). [resolve(120,c,34,a)].
% 13.95/14.30 286 -cycle(e_2,e_1) | -cycle(e_3,A) | -next(A,e_4). [resolve(124,c,34,a)].
% 13.95/14.30 292 -cycle(e_2,e_1) | -cycle(e_3,A) | -next(A,e_5). [resolve(126,c,34,a)].
% 13.95/14.30 296 -cycle(e_4,e_2) | -cycle(e_5,A) | -next(A,e_1). [resolve(128,c,36,a)].
% 13.95/14.30 298 -cycle(e_2,e_2) | -cycle(e_3,A) | -next(A,e_1). [resolve(128,c,34,a)].
% 13.95/14.30 320 -cycle(e_4,e_3) | -cycle(e_5,A) | -next(A,e_1). [resolve(136,c,36,a)].
% 13.95/14.30 322 -cycle(e_2,e_3) | -cycle(e_3,A) | -next(A,e_1). [resolve(136,c,34,a)].
% 13.95/14.30 327 -cycle(e_3,e_3) | -cycle(e_4,A) | -next(A,e_2). [resolve(138,c,35,a)].
% 13.95/14.30 344 -cycle(e_4,e_4) | -cycle(e_5,A) | -next(A,e_1). [resolve(144,c,36,a)].
% 13.95/14.30 346 -cycle(e_2,e_4) | -cycle(e_3,A) | -next(A,e_1). [resolve(144,c,34,a)].
% 13.95/14.30 351 -cycle(e_3,e_4) | -cycle(e_4,A) | -next(A,e_2). [resolve(146,c,35,a)].
% 13.95/14.30 393 -cycle(e_2,e_1) | -cycle(e_3,e_2). [resolve(167,c,34,a)].
% 13.95/14.30 397 -cycle(e_2,e_2) | -cycle(e_3,e_2). [resolve(173,c,34,a)].
% 13.95/14.30 406 -cycle(e_2,e_4) | -cycle(e_3,e_2). [resolve(188,c,34,a)].
% 13.95/14.30 414 -cycle(A,B) | -cycle(e_5,C) | -greater(e_4,A) | -greater(B,C) | cycle(e_4,e_1) | cycle(e_4,e_2) | cycle(e_4,e_3) | cycle(e_4,e_4). [resolve(205,b,227,a)].
% 13.95/14.30 488 product(e_5,e_4,e_1) | product(e_5,e_4,e_2) | product(e_5,e_4,e_3) | product(e_5,e_4,e_4). [resolve(231,a,30,a),unit_del(e,260)].
% 13.95/14.30 489 product(e_5,e_3,e_1) | product(e_5,e_3,e_2) | product(e_5,e_3,e_3) | product(e_5,e_3,e_4). [resolve(231,a,29,a),unit_del(e,259)].
% 13.95/14.30 490 product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_5,e_2,e_3) | product(e_5,e_2,e_4). [resolve(231,a,28,a),unit_del(e,257)].
% 13.95/14.30 493 product(e_5,e_4,e_1) | product(e_5,e_4,e_2) | product(e_5,e_4,e_3). [resolve(488,d,98,b),unit_del(d,53)].
% 13.95/14.30 496 product(e_5,e_4,e_1) | product(e_5,e_4,e_2) | -product(e_1,e_4,e_3). [resolve(493,c,92,b)].
% 13.95/14.30 501 product(e_5,e_4,e_1) | product(e_5,e_4,e_2) | -product(e_4,e_5,A) | product(e_3,A,e_5). [resolve(493,c,56,a)].
% 13.95/14.30 509 product(e_5,e_3,e_1) | product(e_5,e_3,e_2) | product(e_5,e_3,e_3) | -product(e_3,e_5,A) | product(e_4,A,e_5). [resolve(489,d,56,a)].
% 13.95/14.30 514 product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_5,e_2,e_3) | -product(e_2,e_5,A) | product(A,e_4,e_2). [resolve(490,d,56,b)].
% 13.95/14.30 528 -cycle(e_3,e_1) | -cycle(e_4,e_1). [resolve(273,c,33,a)].
% 13.95/14.30 529 -cycle(e_2,e_1) | -cycle(e_3,e_1). [resolve(274,c,33,a)].
% 13.95/14.30 539 -cycle(e_2,e_1) | -cycle(e_3,e_3). [resolve(286,c,35,a)].
% 13.95/14.30 542 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_4,e_5,e_3) | product(e_4,e_5,e_4). [resolve(232,a,31,a),unit_del(e,270)].
% 13.95/14.30 543 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_3) | product(e_4,e_3,e_5). [resolve(232,a,29,a),unit_del(d,258)].
% 13.95/14.30 544 product(e_4,e_2,e_1) | product(e_4,e_2,e_2) | product(e_4,e_2,e_3) | product(e_4,e_2,e_5). [resolve(232,a,28,a),unit_del(d,256)].
% 13.95/14.30 545 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_4,e_1,e_5). [resolve(232,a,27,a),unit_del(d,253)].
% 13.95/14.30 546 product(e_3,e_5,e_1) | product(e_3,e_5,e_2) | product(e_3,e_5,e_3) | product(e_3,e_5,e_4). [resolve(233,a,31,a),unit_del(e,269)].
% 13.95/14.30 547 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_3,e_4,e_5). [resolve(233,a,30,a),unit_del(d,268)].
% 13.95/14.30 549 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | product(e_3,e_1,e_5). [resolve(233,a,27,a),unit_del(c,252)].
% 13.95/14.30 556 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_4,e_5,e_3). [resolve(542,d,88,b),unit_del(d,53)].
% 13.95/14.30 557 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_5,e_4,e_1) | product(e_5,e_4,e_2) | product(e_3,e_3,e_5). [resolve(556,c,501,c)].
% 13.95/14.30 565 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | -product(e_5,e_4,A) | product(A,e_3,e_5). [resolve(556,c,56,b)].
% 13.95/14.30 566 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | -product(e_5,e_4,A) | product(e_3,A,e_4). [resolve(556,c,56,a)].
% 13.95/14.30 567 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_2,e_5,e_4). [resolve(234,a,31,a),unit_del(e,267)].
% 13.95/14.30 568 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_2,e_4,e_5). [resolve(234,a,30,a),unit_del(d,266)].
% 13.95/14.30 570 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | product(e_2,e_1,e_5). [resolve(234,a,27,a),unit_del(b,251)].
% 13.95/14.30 571 -cycle(e_2,e_1) | -cycle(e_3,e_4). [resolve(292,c,36,a)].
% 13.95/14.30 574 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5). [resolve(235,a,30,a),unit_del(d,263)].
% 13.95/14.30 575 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(235,a,29,a),unit_del(c,262)].
% 13.95/14.30 576 product(e_1,e_2,e_1) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5). [resolve(235,a,28,a),unit_del(b,261)].
% 13.95/14.30 583 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_3) | -product(e_3,e_4,A) | product(A,e_5,e_3). [resolve(543,d,56,b)].
% 13.95/14.30 584 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_3) | -product(e_3,e_4,A) | product(e_5,A,e_4). [resolve(543,d,56,a)].
% 13.95/14.30 589 product(e_4,e_2,e_1) | product(e_4,e_2,e_2) | product(e_4,e_2,e_3) | -product(e_2,e_4,A) | product(A,e_5,e_2). [resolve(544,d,56,b)].
% 13.95/14.30 595 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | -product(e_3,e_1,e_5). [resolve(545,d,96,b)].
% 13.95/14.30 598 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | -product(e_1,e_4,A) | product(A,e_5,e_1). [resolve(545,d,56,b)].
% 13.95/14.30 602 -cycle(e_4,e_2). [resolve(296,c,32,a),unit_del(b,52)].
% 13.95/14.30 625 -cycle(A,B) | -cycle(e_5,C) | -greater(e_4,A) | -greater(B,C) | cycle(e_4,e_1) | cycle(e_4,e_3) | cycle(e_4,e_4). [back_unit_del(414),unit_del(f,602)].
% 13.95/14.30 629 -cycle(e_2,e_2) | -cycle(e_3,e_0). [resolve(298,c,32,a)].
% 13.95/14.30 630 -cycle(e_2,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(629,b,228,a)].
% 13.95/14.30 636 product(e_3,e_5,e_1) | product(e_3,e_5,e_2) | product(e_3,e_5,e_3) | -product(e_1,e_5,e_4). [resolve(546,d,90,b)].
% 13.95/14.30 647 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | -product(e_4,e_3,A) | product(A,e_5,e_4). [resolve(547,d,56,b)].
% 13.95/14.30 648 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | -product(e_4,e_3,A) | product(e_5,A,e_3). [resolve(547,d,56,a)].
% 13.95/14.30 659 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | -cycle(e_3,e_0). [resolve(549,d,54,b),unit_del(e,50)].
% 13.95/14.30 662 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(659,d,228,a)].
% 13.95/14.30 664 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_5,e_2,e_3). [resolve(567,d,514,d),unit_del(g,246)].
% 13.95/14.30 669 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | -product(e_5,e_2,A) | product(A,e_4,e_5). [resolve(567,d,56,b)].
% 13.95/14.30 670 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | -product(e_5,e_2,A) | product(e_4,A,e_2). [resolve(567,d,56,a)].
% 13.95/14.30 676 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | -product(e_4,e_2,A) | product(A,e_5,e_4). [resolve(568,d,56,b)].
% 13.95/14.30 684 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | -cycle(e_2,A) | -greater(A,e_0). [resolve(570,d,117,b),unit_del(f,34)].
% 13.95/14.30 688 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | -cycle(e_2,e_0). [resolve(570,d,54,b),unit_del(e,48)].
% 13.95/14.30 689 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4). [resolve(688,d,229,a)].
% 13.95/14.30 702 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_4,e_1,A) | product(A,e_5,e_4). [resolve(574,d,56,b)].
% 13.95/14.30 706 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | -product(e_3,e_1,A) | product(A,e_5,e_3). [resolve(575,d,56,b)].
% 13.95/14.30 718 -cycle(e_4,e_3). [resolve(320,c,32,a),unit_del(b,52)].
% 13.95/14.30 721 -cycle(A,B) | -cycle(e_5,C) | -greater(e_4,A) | -greater(B,C) | cycle(e_4,e_1) | cycle(e_4,e_4). [back_unit_del(625),unit_del(f,718)].
% 13.95/14.30 746 -cycle(e_2,e_3) | -cycle(e_3,e_0). [resolve(322,c,32,a)].
% 13.95/14.30 747 -cycle(e_2,e_3) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(746,b,228,a)].
% 13.95/14.30 750 -cycle(e_3,e_3) | -cycle(e_4,e_1). [resolve(327,c,33,a)].
% 13.95/14.30 760 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4). [resolve(595,d,549,d)].
% 13.95/14.30 768 -cycle(e_4,e_4). [resolve(344,c,32,a),unit_del(b,52)].
% 13.95/14.30 792 -cycle(A,B) | -cycle(e_5,C) | -greater(e_4,A) | -greater(B,C) | cycle(e_4,e_1). [back_unit_del(721),unit_del(f,768)].
% 13.95/14.30 797 -cycle(e_2,e_4) | -cycle(e_3,e_0). [resolve(346,c,32,a)].
% 13.95/14.30 798 -cycle(e_2,e_4) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(797,b,228,a)].
% 13.95/14.30 801 -cycle(e_3,e_4) | -cycle(e_4,e_1). [resolve(351,c,33,a)].
% 13.95/14.30 819 -cycle(A,B) | -greater(e_4,A) | -greater(B,e_0) | cycle(e_4,e_1). [resolve(792,b,52,a)].
% 13.95/14.30 877 product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_5,e_4,e_1) | product(e_3,e_3,e_5) | -product(e_1,e_4,e_2). [resolve(557,d,92,b)].
% 13.95/14.30 894 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_3) | product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3). [resolve(583,d,547,d),unit_del(d,249)].
% 13.95/14.30 895 product(e_4,e_2,e_1) | product(e_4,e_2,e_2) | product(e_4,e_2,e_3) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3). [resolve(589,d,568,d),unit_del(d,247)].
% 13.95/14.30 897 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3). [resolve(598,d,574,d),unit_del(d,244)].
% 13.95/14.30 1057 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | -cycle(e_3,e_0). [resolve(662,c,54,b),unit_del(h,49)].
% 13.95/14.30 1059 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_3,e_4,e_5). [resolve(664,f,669,d),merge(f),merge(g),merge(h)].
% 13.95/14.30 1076 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4) | -cycle(e_2,e_0). [resolve(689,c,54,b),unit_del(h,47)].
% 13.95/14.30 1177 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | -cycle(e_4,A) | -greater(A,e_0). [resolve(760,c,110,b),unit_del(h,36)].
% 13.95/14.30 1528 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(1057,g,228,a),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 1536 product(e_3,e_1,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_2,e_5,e_3). [resolve(1528,b,706,d)].
% 13.95/14.30 1540 product(e_3,e_1,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | -product(e_1,e_3,A) | product(A,e_2,e_1). [resolve(1528,b,56,b)].
% 13.95/14.30 1541 product(e_3,e_1,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | -product(e_1,e_3,A) | product(e_2,A,e_3). [resolve(1528,b,56,a)].
% 13.95/14.30 1560 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4). [resolve(1076,g,229,a),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 1572 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4) | -cycle(e_2,e_0). [resolve(1560,b,54,b),unit_del(g,46)].
% 13.95/14.30 1573 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4). [resolve(1572,f,229,a),merge(f),merge(g),merge(h),merge(i)].
% 13.95/14.30 1579 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_2,e_4). [resolve(1573,a,89,b),unit_del(e,53)].
% 13.95/14.30 1582 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_4,e_1). [resolve(1579,d,819,a),unit_del(d,47),unit_del(e,40)].
% 13.95/14.30 1583 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(1579,d,798,a)].
% 13.95/14.30 1604 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -cycle(e_3,e_4). [resolve(1582,d,801,b)].
% 13.95/14.30 1605 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -cycle(e_3,e_3). [resolve(1582,d,750,b)].
% 13.95/14.30 1606 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -cycle(e_3,e_1). [resolve(1582,d,528,b)].
% 13.95/14.30 1668 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3). [resolve(1583,g,1604,d),merge(g),merge(h),merge(i)].
% 13.95/14.30 1669 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_3,e_1) | cycle(e_3,e_2). [resolve(1668,f,1605,d),merge(f),merge(g),merge(h)].
% 13.95/14.30 1676 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_3,e_1) | -cycle(e_2,e_4). [resolve(1669,e,406,b)].
% 13.95/14.30 1683 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | cycle(e_3,e_1). [resolve(1676,e,1579,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 1684 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(1683,d,1606,d),merge(d),merge(e),merge(f)].
% 13.95/14.30 1687 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_4,e_1). [resolve(1684,c,819,a),unit_del(c,47),unit_del(d,39)].
% 13.95/14.30 1689 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(1684,c,747,a)].
% 13.95/14.30 1691 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4). [resolve(1684,c,684,d),unit_del(f,39)].
% 13.95/14.30 1709 cycle(e_2,e_1) | cycle(e_2,e_2) | -cycle(e_3,e_4). [resolve(1687,c,801,b)].
% 13.95/14.30 1710 cycle(e_2,e_1) | cycle(e_2,e_2) | -cycle(e_3,e_3). [resolve(1687,c,750,b)].
% 13.95/14.30 1711 cycle(e_2,e_1) | cycle(e_2,e_2) | -cycle(e_3,e_1). [resolve(1687,c,528,b)].
% 13.95/14.30 1728 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3). [resolve(894,c,96,b),unit_del(f,53)].
% 13.95/14.30 1731 product(e_4,e_2,e_1) | product(e_4,e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_3,e_5,e_4). [resolve(895,c,676,d),merge(f),merge(g),merge(h)].
% 13.95/14.30 1738 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3). [resolve(1689,f,1709,c),merge(f),merge(g)].
% 13.95/14.30 1739 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2). [resolve(1738,e,1710,c),merge(e),merge(f)].
% 13.95/14.30 1758 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | -cycle(e_2,A) | -greater(A,e_0). [resolve(1691,e,113,b),unit_del(g,34)].
% 13.95/14.30 1764 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_3,e_5,e_4). [resolve(897,c,702,d),merge(f),merge(g),merge(h)].
% 13.95/14.30 1766 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -cycle(e_4,A) | -greater(A,e_0). [resolve(897,c,110,b),unit_del(h,36)].
% 13.95/14.30 1823 product(e_4,e_3,e_1) | product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_2,e_5,e_4). [resolve(1728,b,647,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 1830 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_3). [resolve(1758,e,1684,c),merge(f),merge(g),unit_del(e,39)].
% 13.95/14.30 1839 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | -product(e_1,e_2,A) | product(e_3,A,e_2). [resolve(1830,d,56,a)].
% 13.95/14.30 1852 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_2,e_5,e_4) | product(e_5,e_1,e_3). [resolve(1823,a,648,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 1853 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_2,e_5,e_4) | product(e_1,e_5,e_4). [resolve(1823,a,647,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 1870 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_2,e_5,e_4) | -product(e_2,e_1,e_3). [resolve(1852,e,95,b)].
% 13.95/14.30 1883 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_5,e_4) | product(e_1,e_5,e_4). [resolve(1853,c,86,b),unit_del(e,53)].
% 13.95/14.30 1907 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | product(e_2,e_5,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1). [resolve(1870,e,1830,d)].
% 13.95/14.30 2166 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_5,e_2,e_1) | product(e_3,e_4,e_5). [resolve(1059,e,95,b),unit_del(f,53)].
% 13.95/14.30 2197 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_3,e_4,e_5) | product(e_4,e_1,e_2). [resolve(2166,d,670,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 2216 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_3,e_4,e_5) | -cycle(e_4,A) | -greater(A,e_0). [resolve(2197,e,106,b),unit_del(g,36)].
% 13.95/14.30 2262 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | product(e_3,e_4,e_5) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(2216,e,1687,c),unit_del(e,37)].
% 13.95/14.30 2266 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_2,e_4,e_5). [resolve(2262,d,93,b)].
% 13.95/14.30 2287 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3). [resolve(2266,f,568,d)].
% 13.95/14.30 2582 product(e_4,e_2,e_1) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_3,e_5,e_4). [resolve(1731,b,94,b),unit_del(f,53)].
% 13.95/14.30 2586 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_3,e_5,e_4) | product(e_1,e_5,e_4). [resolve(2582,a,676,d),merge(e),merge(f),merge(g)].
% 13.95/14.30 2614 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4) | -product(e_3,e_1,e_4). [resolve(2586,d,82,b)].
% 13.95/14.30 2617 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4) | -product(e_3,e_5,e_1). [resolve(2586,d,71,b)].
% 13.95/14.30 2685 product(e_4,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_3,e_5,e_4) | -cycle(e_4,A) | -greater(A,e_0). [resolve(1764,b,106,b),unit_del(h,36)].
% 13.95/14.30 2809 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(1177,f,1687,c),unit_del(f,37)].
% 13.95/14.30 3514 product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(1766,f,1687,c),unit_del(f,37)].
% 13.95/14.30 3569 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_5,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1). [resolve(1907,c,86,b),unit_del(g,53)].
% 13.95/14.30 3640 product(e_4,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_3,e_5,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(2685,f,1687,c),unit_del(f,37)].
% 13.95/14.30 3660 product(e_4,e_1,e_1) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2) | -cycle(e_4,A) | -greater(A,e_0). [resolve(2809,b,106,b),unit_del(i,36)].
% 13.95/14.30 4110 product(e_4,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_5,e_4). [resolve(3514,b,702,d),merge(g),merge(h),merge(i)].
% 13.95/14.30 4170 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_3,e_5,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(3640,a,91,b),unit_del(g,53)].
% 13.95/14.30 4177 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_2,e_5,e_4). [resolve(4170,d,93,b)].
% 13.95/14.30 4297 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_5,e_4). [resolve(4110,a,91,b),unit_del(g,53)].
% 13.95/14.30 4298 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(4297,f,4177,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 4301 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_3,e_5,e_1). [resolve(4298,c,598,d)].
% 13.95/14.30 4302 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | product(e_5,e_4,e_2). [resolve(4298,c,496,c)].
% 13.95/14.30 4306 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_4,e_1,A) | product(e_3,A,e_1). [resolve(4298,c,56,a)].
% 13.95/14.30 4333 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_3,e_2,e_4). [resolve(4302,f,566,c)].
% 13.95/14.30 4335 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | -product(e_3,e_4,e_2). [resolve(4302,f,97,b)].
% 13.95/14.30 4337 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | -product(e_5,e_3,e_2). [resolve(4302,f,86,b)].
% 13.95/14.30 4349 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4) | product(e_2,e_1,e_1). [resolve(4335,f,3569,b),merge(h),merge(i)].
% 13.95/14.30 4350 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_4,e_1) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4) | product(e_1,e_5,e_4). [resolve(4335,f,1883,b)].
% 13.95/14.30 6004 cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_2,e_5,e_3). [resolve(1536,a,90,b),unit_del(i,53)].
% 13.95/14.30 8290 product(e_4,e_1,e_1) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(3660,g,1687,c),merge(h),merge(i),unit_del(g,37)].
% 13.95/14.30 8303 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(8290,a,91,b),unit_del(f,53)].
% 13.95/14.30 8316 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4). [resolve(8303,c,2614,e)].
% 13.95/14.30 10186 cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | -product(e_2,e_1,e_3). [resolve(6004,h,82,b)].
% 13.95/14.30 10312 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | -product(e_2,e_1,e_3). [resolve(2287,c,82,b)].
% 13.95/14.30 14612 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_3,e_5,e_1). [resolve(4301,g,4306,e),merge(h),merge(i),merge(j),merge(k),unit_del(h,242)].
% 13.95/14.30 14632 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_4,e_1,e_1) | product(e_3,e_5,e_1) | -cycle(e_4,A) | -greater(A,e_0). [resolve(14612,f,106,b),unit_del(i,36)].
% 13.95/14.30 14732 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_4,e_1,e_1) | product(e_3,e_5,e_1). [resolve(14632,g,1687,c),merge(h),merge(i),unit_del(g,37)].
% 13.95/14.30 14757 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_3,e_5,e_1). [resolve(14732,e,91,b),unit_del(f,53)].
% 13.95/14.30 14803 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4). [resolve(14757,e,2617,e)].
% 13.95/14.30 14810 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_3,e_1) | product(e_5,e_3,e_2) | product(e_5,e_3,e_3) | product(e_4,e_1,e_5). [resolve(14757,e,509,d)].
% 13.95/14.30 14811 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_2,e_5,e_1). [resolve(14757,e,93,b)].
% 13.95/14.30 14813 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_3,e_4,e_1). [resolve(14757,e,88,b)].
% 13.95/14.30 14815 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_3,e_1,e_1). [resolve(14757,e,82,b)].
% 13.95/14.30 14817 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | -product(e_5,e_3,A) | product(e_1,A,e_3). [resolve(14757,e,56,a)].
% 13.95/14.30 14829 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_3,e_2,e_4) | -product(e_2,e_4,e_1). [resolve(4333,e,95,b)].
% 13.95/14.30 14845 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4) | product(e_2,e_1,e_1) | -product(e_2,e_4,e_1). [resolve(4349,e,95,b)].
% 13.95/14.30 14853 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4) | product(e_1,e_5,e_4) | -product(e_2,e_4,e_1). [resolve(4350,e,95,b)].
% 13.95/14.30 14903 product(e_3,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4) | -cycle(e_3,A) | -greater(A,e_0). [resolve(8316,b,105,b),unit_del(j,35)].
% 13.95/14.30 14941 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_2,e_1,e_1). [resolve(10312,h,1830,d),merge(h),merge(i)].
% 13.95/14.30 15027 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_1,e_5,e_4) | -product(e_1,e_4,e_3). [resolve(14803,g,89,b)].
% 13.95/14.30 15032 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_3,e_1) | product(e_5,e_3,e_2) | product(e_4,e_1,e_5). [resolve(14810,g,14817,e),merge(h),merge(i),merge(j),merge(k),unit_del(h,262)].
% 13.95/14.30 15048 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_3,e_1) | product(e_4,e_1,e_5) | product(e_5,e_4,e_1). [resolve(15032,f,4337,f),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 15084 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_5,e_3,e_1) | product(e_4,e_1,e_5) | -product(e_2,e_4,e_1). [resolve(15048,g,95,b)].
% 13.95/14.30 15351 product(e_2,e_5,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_2,e_1,e_1). [resolve(14941,b,85,b),unit_del(h,53)].
% 13.95/14.30 15353 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2). [resolve(15351,a,14811,e),merge(i),merge(j)].
% 13.95/14.30 15372 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_1,e_5,e_4). [resolve(15027,h,4298,c),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15381 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_1,e_5,e_4). [resolve(15372,f,84,b),unit_del(g,53)].
% 13.95/14.30 15383 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_3,e_1) | product(e_4,e_1,e_5). [resolve(15381,e,15084,g),merge(f),merge(g),merge(h),merge(i)].
% 13.95/14.30 15384 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4). [resolve(15381,e,14853,h),merge(f),merge(g),merge(h),merge(i),merge(l)].
% 13.95/14.30 15386 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_3,e_2,e_4). [resolve(15381,e,14829,h),merge(f),merge(g),merge(h),merge(i)].
% 13.95/14.30 15398 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_1,e_5) | -product(e_5,e_2,e_1). [resolve(15383,f,83,b)].
% 13.95/14.30 15403 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_2,e_5,e_4). [resolve(15384,f,14813,e),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 15405 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_5,e_2,e_3). [resolve(15403,f,514,d),unit_del(i,246)].
% 13.95/14.30 15411 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | -product(e_5,e_2,A) | product(A,e_4,e_5). [resolve(15403,f,56,b)].
% 13.95/14.30 15412 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | -product(e_5,e_2,A) | product(e_4,A,e_2). [resolve(15403,f,56,a)].
% 13.95/14.30 15497 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | -product(e_1,e_4,e_3). [resolve(15353,e,89,b)].
% 13.95/14.30 15520 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_5,e_1) | product(e_3,e_2,e_4) | -product(e_4,e_3,e_2). [resolve(15386,g,87,b)].
% 13.95/14.30 15528 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_4,e_3,e_2). [resolve(15405,h,15412,f),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 13.95/14.30 15529 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_2,e_1) | product(e_5,e_2,e_2) | product(e_3,e_4,e_5). [resolve(15405,h,15411,f),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 13.95/14.30 15580 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2). [resolve(15497,h,4298,c),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15588 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2). [resolve(15580,d,84,b),unit_del(g,53)].
% 13.95/14.30 15590 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_4,e_1) | product(e_2,e_5,e_4). [resolve(15588,c,14845,h),merge(f),merge(g),merge(h),merge(i),merge(l)].
% 13.95/14.30 15607 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_5,e_4). [resolve(15590,f,14813,e),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 15610 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | -product(e_1,e_5,e_4). [resolve(15607,f,89,b)].
% 13.95/14.30 15676 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_2,e_1) | product(e_4,e_3,e_2). [resolve(15528,g,95,b),unit_del(h,53)].
% 13.95/14.30 15680 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_3,e_2) | product(e_4,e_1,e_2). [resolve(15676,f,15412,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15688 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_1,e_2) | product(e_4,e_5,e_1) | product(e_3,e_2,e_4). [resolve(15680,f,15520,h),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15726 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_5,e_2,e_1) | product(e_3,e_4,e_5). [resolve(15529,g,95,b),unit_del(h,53)].
% 13.95/14.30 15730 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_4,e_5) | product(e_4,e_1,e_2). [resolve(15726,f,15412,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15732 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_4,e_5) | product(e_4,e_1,e_5). [resolve(15726,f,15398,g),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 15770 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_4,e_5) | -product(e_4,e_1,e_2). [resolve(15732,g,75,b)].
% 13.95/14.30 15824 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_4,e_5). [resolve(15770,g,15730,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 13.95/14.30 15828 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_3). [resolve(15824,f,584,d),unit_del(i,250)].
% 13.95/14.30 15836 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | -product(e_4,e_3,A) | product(A,e_5,e_4). [resolve(15824,f,56,b)].
% 13.95/14.30 15838 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | -product(e_4,e_3,e_1). [factor(15836,e,g)].
% 13.95/14.30 15974 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_1,e_2) | product(e_3,e_2,e_4) | -product(e_3,e_5,e_1). [resolve(15688,g,96,b)].
% 13.95/14.30 16019 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_3,e_1) | product(e_4,e_3,e_2). [resolve(15828,h,96,b),unit_del(h,53)].
% 13.95/14.30 16027 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_3,e_1) | -product(e_4,e_1,e_2). [resolve(16019,g,80,b)].
% 13.95/14.30 16297 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_4,e_1,e_2) | product(e_3,e_2,e_4). [resolve(15974,h,14757,e),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 16300 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_2,e_4) | product(e_4,e_3,e_1). [resolve(16297,f,16027,g),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 16320 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_2,e_4). [resolve(16300,g,15838,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 16324 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | -product(e_3,e_1,e_4). [resolve(16320,f,79,b)].
% 13.95/14.30 16328 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2). [resolve(16324,f,8303,c),merge(h),merge(i)].
% 13.95/14.30 16334 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_1,e_1) | -cycle(e_3,A) | -greater(A,e_0). [resolve(16328,g,105,b),unit_del(i,35)].
% 13.95/14.30 16355 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | product(e_3,e_1,e_1) | cycle(e_3,e_1). [resolve(16334,g,1739,d),merge(h),merge(i),unit_del(g,38)].
% 13.95/14.30 16356 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | cycle(e_3,e_1). [resolve(16355,f,14815,e),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 16357 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_1,e_1). [resolve(16356,e,15610,f),merge(f),merge(g),merge(i),merge(j)].
% 13.95/14.30 16372 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1). [resolve(16357,f,89,b),unit_del(f,53)].
% 13.95/14.30 16406 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_5,e_4,e_1) | product(e_3,e_3,e_5). [resolve(16372,b,877,e)].
% 13.95/14.30 16408 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_2,e_5,e_1). [resolve(16372,b,598,d)].
% 13.95/14.30 16411 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | -product(e_4,e_1,A) | product(A,e_2,e_4). [resolve(16372,b,56,b)].
% 13.95/14.30 16412 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | -product(e_4,e_1,A) | product(e_2,A,e_1). [resolve(16372,b,56,a)].
% 13.95/14.30 16466 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_5,e_1) | product(e_4,e_5,e_2) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5). [resolve(16406,g,565,c),merge(h),merge(i)].
% 13.95/14.30 16491 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_2,e_5,e_1) | product(e_3,e_2,e_4). [resolve(16408,g,16411,e),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 16539 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_5,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5) | -product(e_3,e_5,e_2). [resolve(16466,f,96,b)].
% 13.95/14.30 16590 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_4,e_1,e_1) | product(e_2,e_5,e_1) | product(e_3,e_2,e_4). [resolve(16491,f,16412,e),merge(h),merge(i),merge(j),merge(k),unit_del(h,241)].
% 13.95/14.30 16605 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1) | product(e_3,e_2,e_4). [resolve(16590,e,91,b),unit_del(g,53)].
% 13.95/14.30 16619 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1) | -product(e_3,e_1,e_4). [resolve(16605,f,79,b)].
% 13.95/14.30 16624 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2). [resolve(16619,f,8303,c),merge(h),merge(i)].
% 13.95/14.30 16633 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1) | product(e_3,e_1,e_1) | -cycle(e_3,A) | -greater(A,e_0). [resolve(16624,g,105,b),unit_del(i,35)].
% 13.95/14.30 16636 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1) | product(e_3,e_1,e_1). [resolve(16633,g,1739,d),merge(h),merge(i),merge(j),unit_del(g,38)].
% 13.95/14.30 16652 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_2,e_5,e_1). [resolve(16636,f,90,b),unit_del(f,53)].
% 13.95/14.30 16746 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | -product(e_2,e_4,e_1). [resolve(16652,e,88,b)].
% 13.95/14.30 16748 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | -product(e_2,e_1,e_1). [resolve(16652,e,82,b)].
% 13.95/14.30 20081 product(e_3,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4) | cycle(e_3,e_1). [resolve(14903,h,1739,d),merge(i),merge(j),unit_del(h,38)].
% 13.95/14.30 20090 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_1,e_5,e_4) | cycle(e_3,e_1). [resolve(20081,a,90,b),unit_del(h,53)].
% 13.95/14.30 20101 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_1,e_5,e_4) | cycle(e_3,e_1) | -product(e_2,e_1,e_3). [resolve(20090,e,81,b)].
% 13.95/14.30 20104 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_1,e_5,e_4) | cycle(e_3,e_1) | product(e_2,e_1,e_1). [resolve(20101,g,1830,d),merge(g),merge(h)].
% 13.95/14.30 20118 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_4,e_1) | product(e_1,e_5,e_4) | cycle(e_3,e_1) | product(e_2,e_1,e_1). [resolve(20104,d,84,b),unit_del(g,53)].
% 13.95/14.30 20121 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | cycle(e_3,e_1) | product(e_2,e_1,e_1) | product(e_1,e_4,e_1). [resolve(20118,c,16746,e),merge(g),merge(h),merge(i)].
% 13.95/14.30 20144 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_5,e_4) | cycle(e_3,e_1) | product(e_1,e_4,e_1). [resolve(20121,e,16748,e),merge(f),merge(g),merge(h),merge(i)].
% 13.95/14.30 20149 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_5,e_1) | product(e_3,e_5,e_2) | product(e_3,e_5,e_3). [resolve(20144,c,636,d)].
% 13.95/14.30 20153 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | -product(e_1,e_2,e_4). [resolve(20144,c,85,b)].
% 13.95/14.30 20174 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_5,e_1) | product(e_3,e_5,e_2). [resolve(20149,g,87,b),unit_del(g,53)].
% 13.95/14.30 20175 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_5,e_1) | product(e_4,e_5,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5). [resolve(20174,f,16539,h),merge(f),merge(g),merge(h),merge(i)].
% 13.95/14.30 20903 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_5,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5) | -product(e_2,e_5,e_1). [resolve(20175,f,94,b)].
% 13.95/14.30 21075 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_5,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5). [resolve(20903,h,16652,e),merge(h),merge(i),merge(j),merge(k)].
% 13.95/14.30 21081 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5) | -product(e_2,e_5,e_1). [resolve(21075,e,93,b)].
% 13.95/14.30 21088 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_3,e_3,e_5) | product(e_1,e_3,e_5). [resolve(21081,g,16652,e),merge(g),merge(h),merge(i),merge(j)].
% 13.95/14.30 21094 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_4,e_1) | product(e_1,e_3,e_5). [resolve(21088,e,163,a),unit_del(f,249)].
% 13.95/14.30 21134 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_3,e_5). [resolve(21094,d,81,b),unit_del(e,53)].
% 13.95/14.30 21141 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | -product(e_1,e_2,e_5). [resolve(21134,d,83,b)].
% 13.95/14.30 21148 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4). [resolve(21141,d,576,d)].
% 13.95/14.30 21242 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_3) | product(e_1,e_4,e_1). [resolve(21148,f,20153,e),merge(f),merge(g),merge(h)].
% 13.95/14.30 21291 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_3). [resolve(21242,f,81,b),unit_del(f,53)].
% 13.95/14.30 21297 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_2,e_1) | product(e_2,e_1,e_1). [resolve(21291,e,1839,d),merge(e),merge(f),unit_del(f,245)].
% 13.95/14.30 21312 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | product(e_1,e_2,e_1). [resolve(21297,e,89,b),unit_del(e,53)].
% 13.95/14.30 21330 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1). [resolve(21312,d,79,b),unit_del(d,53)].
% 13.95/14.30 21336 cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(21330,c,1711,c),merge(c),merge(d)].
% 13.95/14.30 21341 cycle(e_2,e_1) | cycle(e_4,e_1). [resolve(21336,b,819,a),unit_del(b,47),unit_del(c,38)].
% 13.95/14.30 21345 cycle(e_2,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4). [resolve(21336,b,630,a)].
% 13.95/14.30 21371 cycle(e_2,e_1) | -cycle(e_3,e_4). [resolve(21341,b,801,b)].
% 13.95/14.30 21372 cycle(e_2,e_1) | -cycle(e_3,e_3). [resolve(21341,b,750,b)].
% 13.95/14.30 21373 cycle(e_2,e_1) | -cycle(e_3,e_1). [resolve(21341,b,528,b)].
% 13.95/14.30 21406 cycle(e_2,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3). [resolve(21345,e,21371,b),merge(e)].
% 13.95/14.30 21407 cycle(e_2,e_1) | cycle(e_3,e_1) | cycle(e_3,e_2). [resolve(21406,d,21372,b),merge(d)].
% 13.95/14.30 21417 cycle(e_2,e_1) | cycle(e_3,e_1) | -cycle(e_2,e_2). [resolve(21407,c,397,b)].
% 13.95/14.30 21423 cycle(e_2,e_1) | cycle(e_3,e_1). [resolve(21417,c,21336,b),merge(c)].
% 13.95/14.30 21424 cycle(e_2,e_1). [resolve(21423,b,21373,b),merge(b)].
% 13.95/14.30 21425 -cycle(e_3,e_4). [back_unit_del(571),unit_del(a,21424)].
% 13.95/14.30 21426 -cycle(e_3,e_3). [back_unit_del(539),unit_del(a,21424)].
% 13.95/14.30 21427 -cycle(e_3,e_1). [back_unit_del(529),unit_del(a,21424)].
% 13.95/14.30 21431 -cycle(e_3,e_2). [back_unit_del(393),unit_del(a,21424)].
% 13.95/14.30 21503 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | -product(e_2,e_1,e_3). [back_unit_del(10186),unit_del(a,21427),unit_del(b,21431),unit_del(c,21426),unit_del(d,21425)].
% 13.95/14.30 21697 product(e_3,e_1,e_1) | -product(e_1,e_3,A) | product(e_2,A,e_3). [back_unit_del(1541),unit_del(b,21427),unit_del(c,21431),unit_del(d,21426),unit_del(e,21425)].
% 13.95/14.30 21698 product(e_3,e_1,e_1) | -product(e_1,e_3,A) | product(A,e_2,e_1). [back_unit_del(1540),unit_del(b,21427),unit_del(c,21431),unit_del(d,21426),unit_del(e,21425)].
% 13.95/14.30 21749 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4). [resolve(21424,a,684,d),unit_del(d,37)].
% 13.95/14.30 21786 product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | -cycle(e_2,A) | -greater(A,e_0). [resolve(21749,c,113,b),unit_del(e,34)].
% 13.95/14.30 21791 product(e_2,e_1,e_1) | product(e_2,e_1,e_3). [resolve(21786,c,21424,a),unit_del(c,37)].
% 13.95/14.30 21829 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_2,e_1,e_1). [resolve(21503,d,21791,b)].
% 13.95/14.30 22344 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_4). [resolve(21829,d,89,b),unit_del(d,53)].
% 13.95/14.30 22346 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_1,e_1) | product(e_2,e_4,e_3). [resolve(22344,c,21697,b)].
% 13.95/14.30 22701 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_4,e_3). [resolve(22346,c,90,b),unit_del(d,53)].
% 13.95/14.30 22744 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | -product(e_2,e_1,e_3). [resolve(22701,c,81,b)].
% 13.95/14.30 22750 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_1,e_1). [resolve(22744,c,21791,b)].
% 13.95/14.30 22769 product(e_1,e_3,e_1) | product(e_1,e_3,e_2). [resolve(22750,c,89,b),unit_del(c,53)].
% 13.95/14.30 22770 product(e_1,e_3,e_1) | product(e_3,e_1,e_1). [resolve(22769,b,21698,b),unit_del(c,241)].
% 13.95/14.30 22859 product(e_1,e_3,e_1). [resolve(22770,b,90,b),unit_del(b,53)].
% 13.95/14.30 22968 $F. [resolve(22859,a,80,b),unit_del(a,53)].
% 13.95/14.30
% 13.95/14.30 % SZS output end Refutation
% 13.95/14.30 ============================== end of proof ==========================
% 13.95/14.30
% 13.95/14.30 ============================== STATISTICS ============================
% 13.95/14.30
% 13.95/14.30 Given=8834. Generated=407233. Kept=22921. proofs=1.
% 13.95/14.30 Usable=3762. Sos=3369. Demods=0. Limbo=3, Disabled=15925. Hints=0.
% 13.95/14.30 Megabytes=28.32.
% 13.95/14.30 User_CPU=13.09, System_CPU=0.24, Wall_clock=13.
% 13.95/14.30
% 13.95/14.30 ============================== end of statistics =====================
% 13.95/14.30
% 13.95/14.30 ============================== end of search =========================
% 13.95/14.30
% 13.95/14.30 THEOREM PROVED
% 13.95/14.30 % SZS status Unsatisfiable
% 13.95/14.30
% 13.95/14.30 Exiting with 1 proof.
% 13.95/14.30
% 13.95/14.30 Process 28783 exit (max_proofs) Mon Jun 13 15:00:51 2022
% 13.95/14.30 Prover9 interrupted
%------------------------------------------------------------------------------