TSTP Solution File: GRP129-3.004 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 11:17:33 EDT 2022
% Result : Unsatisfiable 3.63s 3.92s
% Output : Refutation 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:06:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.99 ============================== Prover9 ===============================
% 0.46/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.46/0.99 Process 14357 was started by sandbox2 on n019.cluster.edu,
% 0.46/0.99 Tue Jun 14 08:06:10 2022
% 0.46/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14202_n019.cluster.edu".
% 0.46/0.99 ============================== end of head ===========================
% 0.46/0.99
% 0.46/0.99 ============================== INPUT =================================
% 0.46/0.99
% 0.46/0.99 % Reading from file /tmp/Prover9_14202_n019.cluster.edu
% 0.46/0.99
% 0.46/0.99 set(prolog_style_variables).
% 0.46/0.99 set(auto2).
% 0.46/0.99 % set(auto2) -> set(auto).
% 0.46/0.99 % set(auto) -> set(auto_inference).
% 0.46/0.99 % set(auto) -> set(auto_setup).
% 0.46/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.46/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/0.99 % set(auto) -> set(auto_limits).
% 0.46/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/0.99 % set(auto) -> set(auto_denials).
% 0.46/0.99 % set(auto) -> set(auto_process).
% 0.46/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.46/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.46/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.46/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.46/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.46/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.46/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.46/0.99 % set(auto2) -> assign(stats, some).
% 0.46/0.99 % set(auto2) -> clear(echo_input).
% 0.46/0.99 % set(auto2) -> set(quiet).
% 0.46/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.46/0.99 % set(auto2) -> clear(print_given).
% 0.46/0.99 assign(lrs_ticks,-1).
% 0.46/0.99 assign(sos_limit,10000).
% 0.46/0.99 assign(order,kbo).
% 0.46/0.99 set(lex_order_vars).
% 0.46/0.99 clear(print_given).
% 0.46/0.99
% 0.46/0.99 % formulas(sos). % not echoed (42 formulas)
% 0.46/0.99
% 0.46/0.99 ============================== end of input ==========================
% 0.46/0.99
% 0.46/0.99 % From the command line: assign(max_seconds, 300).
% 0.46/0.99
% 0.46/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/0.99
% 0.46/0.99 % Formulas that are not ordinary clauses:
% 0.46/0.99
% 0.46/0.99 ============================== end of process non-clausal formulas ===
% 0.46/0.99
% 0.46/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/0.99
% 0.46/0.99 ============================== PREDICATE ELIMINATION =================
% 0.46/0.99 1 -cycle(A,B) | -cycle(A,C) | equalish(B,C) # label(cycle1) # label(axiom). [assumption].
% 0.46/0.99 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.46/0.99 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.46/0.99 4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 0.46/0.99 5 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.46/0.99 6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.46/0.99 7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 0.46/0.99 8 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 0.46/0.99 9 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 0.46/0.99 10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 0.46/0.99 11 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom). [assumption].
% 0.46/0.99 12 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom). [assumption].
% 0.46/0.99 13 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(A,e_2). [resolve(1,c,2,a)].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(A,e_3). [resolve(1,c,3,a)].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(A,e_4). [resolve(1,c,4,a)].
% 0.46/0.99 Derived: -cycle(A,e_2) | -cycle(A,e_3). [resolve(1,c,6,a)].
% 0.46/0.99 Derived: -cycle(A,e_2) | -cycle(A,e_4). [resolve(1,c,7,a)].
% 0.46/0.99 Derived: -cycle(A,e_3) | -cycle(A,e_4). [resolve(1,c,10,a)].
% 0.46/0.99 14 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.46/0.99 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(14,c,2,a)].
% 0.46/0.99 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(14,c,3,a)].
% 0.46/0.99 Derived: -product(A,B,e_1) | -product(A,B,e_4). [resolve(14,c,4,a)].
% 0.46/0.99 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(14,c,6,a)].
% 0.46/0.99 Derived: -product(A,B,e_2) | -product(A,B,e_4). [resolve(14,c,7,a)].
% 0.46/0.99 Derived: -product(A,B,e_3) | -product(A,B,e_4). [resolve(14,c,10,a)].
% 0.46/0.99 15 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.46/0.99 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(15,c,2,a)].
% 0.46/0.99 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(15,c,3,a)].
% 0.46/0.99 Derived: -product(A,e_1,B) | -product(A,e_4,B). [resolve(15,c,4,a)].
% 0.46/0.99 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(15,c,6,a)].
% 0.46/0.99 Derived: -product(A,e_2,B) | -product(A,e_4,B). [resolve(15,c,7,a)].
% 0.46/0.99 Derived: -product(A,e_3,B) | -product(A,e_4,B). [resolve(15,c,10,a)].
% 0.46/0.99 16 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.46/0.99 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(16,c,2,a)].
% 0.46/0.99 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(16,c,3,a)].
% 0.46/0.99 Derived: -product(e_1,A,B) | -product(e_4,A,B). [resolve(16,c,4,a)].
% 0.46/0.99 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(16,c,6,a)].
% 0.46/0.99 Derived: -product(e_2,A,B) | -product(e_4,A,B). [resolve(16,c,7,a)].
% 0.46/0.99 Derived: -product(e_3,A,B) | -product(e_4,A,B). [resolve(16,c,10,a)].
% 0.46/0.99 17 -cycle(A,B) | -product(A,e_1,C) | -greater(B,e_0) | -next(A,D) | equalish(C,D) # label(cycle7) # label(axiom). [assumption].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_2). [resolve(17,e,2,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_3). [resolve(17,e,3,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,4,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_1). [resolve(17,e,5,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_3). [resolve(17,e,6,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,7,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_1). [resolve(17,e,8,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_2). [resolve(17,e,9,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,10,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_1). [resolve(17,e,11,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_2). [resolve(17,e,12,a)].
% 0.46/0.99 Derived: -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_3). [resolve(17,e,13,a)].
% 0.46/0.99 18 -cycle(A,B) | -cycle(C,D) | -next(A,C) | -greater(B,e_0) | -next(D,E) | equalish(B,E) # label(cycle4) # label(axiom). [assumption].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_2). [resolve(18,f,2,a)].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_3). [resolve(18,f,3,a)].
% 0.46/0.99 Derived: -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_4). [resolve(18,f,4,a)].
% 0.46/0.99 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_1). [resolve(18,f,5,a)].
% 0.46/0.99 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_3). [resolve(18,f,6,a)].
% 0.46/0.99 Derived: -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_4). [resolve(18,f,7,a)].
% 0.46/0.99 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_1). [resolve(18,f,8,a)].
% 0.46/0.99 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_2). [resolve(18,f,9,a)].
% 0.46/0.99 Derived: -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_4). [resolve(18,f,10,a)].
% 0.46/0.99 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_1). [resolve(18,f,11,a)].
% 0.46/0.99 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_2). [resolve(18,f,12,a)].
% 0.46/0.99 Derived: -cycle(A,e_4) | -cycle(B,C) | -next(A,B) | -greater(e_4,e_0) | -next(C,e_3). [resolve(18,f,13,a)].
% 0.46/0.99
% 0.46/0.99 ============================== end predicate elimination =============
% 0.46/0.99
% 0.46/0.99 Auto_denials: (non-Horn, no changes).
% 3.63/3.92
% 3.63/3.92 Term ordering decisions:
% 3.63/3.92 Function symbol KB weights: e_1=1. e_2=1. e_3=1. e_4=1. e_0=1.
% 3.63/3.92
% 3.63/3.92 ============================== end of process initial clauses ========
% 3.63/3.92
% 3.63/3.92 ============================== CLAUSES FOR SEARCH ====================
% 3.63/3.92
% 3.63/3.92 ============================== end of clauses for search =============
% 3.63/3.92
% 3.63/3.92 ============================== SEARCH ================================
% 3.63/3.92
% 3.63/3.92 % Starting search at 0.02 seconds.
% 3.63/3.92
% 3.63/3.92 ============================== PROOF =================================
% 3.63/3.92 % SZS status Unsatisfiable
% 3.63/3.92 % SZS output start Refutation
% 3.63/3.92
% 3.63/3.92 % Proof 1 at 2.92 (+ 0.03) seconds.
% 3.63/3.92 % Length of proof is 419.
% 3.63/3.92 % Level of proof is 112.
% 3.63/3.92 % Maximum clause weight is 32.000.
% 3.63/3.92 % Given clauses 3261.
% 3.63/3.92
% 3.63/3.92 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 3.63/3.92 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 3.63/3.92 4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 3.63/3.92 5 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 3.63/3.92 6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 3.63/3.92 7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 3.63/3.92 8 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 3.63/3.92 9 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 3.63/3.92 10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 3.63/3.92 13 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 3.63/3.92 14 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 3.63/3.92 15 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 3.63/3.92 16 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 3.63/3.92 17 -cycle(A,B) | -product(A,e_1,C) | -greater(B,e_0) | -next(A,D) | equalish(C,D) # label(cycle7) # label(axiom). [assumption].
% 3.63/3.92 18 -cycle(A,B) | -cycle(C,D) | -next(A,C) | -greater(B,e_0) | -next(D,E) | equalish(B,E) # label(cycle4) # label(axiom). [assumption].
% 3.63/3.92 19 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 3.63/3.92 20 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 3.63/3.92 21 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 3.63/3.92 22 group_element(e_4) # label(element_4) # label(axiom). [assumption].
% 3.63/3.92 23 next(e_0,e_1) # label(e_0_then_e_1) # label(axiom). [assumption].
% 3.63/3.92 24 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 3.63/3.92 25 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 3.63/3.92 26 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom). [assumption].
% 3.63/3.92 27 greater(e_1,e_0) # label(e_1_greater_e_0) # label(axiom). [assumption].
% 3.63/3.92 28 greater(e_2,e_0) # label(e_2_greater_e_0) # label(axiom). [assumption].
% 3.63/3.92 29 greater(e_3,e_0) # label(e_3_greater_e_0) # label(axiom). [assumption].
% 3.63/3.92 34 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 3.63/3.92 35 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 3.63/3.92 37 cycle(e_4,e_0) # label(cycle3) # label(axiom). [assumption].
% 3.63/3.92 38 -cycle(A,e_0) | -product(A,e_1,B) | -greater(B,A) # label(cycle6) # label(axiom). [assumption].
% 3.63/3.92 39 -cycle(A,B) | -cycle(C,e_0) | -cycle(D,E) | -next(C,D) | -greater(C,A) | -greater(B,E) # label(cycle5) # label(axiom). [assumption].
% 3.63/3.92 40 -product(A,B,C) | -product(B,C,D) | product(C,A,D) # label(qg3) # label(negated_conjecture). [assumption].
% 3.63/3.92 41 -group_element(A) | cycle(A,e_0) | cycle(A,e_1) | cycle(A,e_2) | cycle(A,e_3) # label(cycle2) # label(axiom). [assumption].
% 3.63/3.92 42 -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) # label(product_total_function1) # label(axiom). [assumption].
% 3.63/3.92 49 -product(A,B,e_1) | -product(A,B,e_2). [resolve(14,c,2,a)].
% 3.63/3.92 50 -product(A,B,e_1) | -product(A,B,e_3). [resolve(14,c,3,a)].
% 3.63/3.92 52 -product(A,B,e_2) | -product(A,B,e_3). [resolve(14,c,6,a)].
% 3.63/3.92 54 -product(A,B,e_3) | -product(A,B,e_4). [resolve(14,c,10,a)].
% 3.63/3.92 55 -product(A,e_1,B) | -product(A,e_2,B). [resolve(15,c,2,a)].
% 3.63/3.92 56 -product(A,e_1,B) | -product(A,e_3,B). [resolve(15,c,3,a)].
% 3.63/3.92 57 -product(A,e_1,B) | -product(A,e_4,B). [resolve(15,c,4,a)].
% 3.63/3.92 58 -product(A,e_2,B) | -product(A,e_3,B). [resolve(15,c,6,a)].
% 3.63/3.92 59 -product(A,e_2,B) | -product(A,e_4,B). [resolve(15,c,7,a)].
% 3.63/3.92 60 -product(A,e_3,B) | -product(A,e_4,B). [resolve(15,c,10,a)].
% 3.63/3.92 61 -product(e_1,A,B) | -product(e_2,A,B). [resolve(16,c,2,a)].
% 3.63/3.92 62 -product(e_1,A,B) | -product(e_3,A,B). [resolve(16,c,3,a)].
% 3.63/3.92 63 -product(e_1,A,B) | -product(e_4,A,B). [resolve(16,c,4,a)].
% 3.63/3.92 64 -product(e_2,A,B) | -product(e_3,A,B). [resolve(16,c,6,a)].
% 3.63/3.92 65 -product(e_2,A,B) | -product(e_4,A,B). [resolve(16,c,7,a)].
% 3.63/3.92 66 -product(e_3,A,B) | -product(e_4,A,B). [resolve(16,c,10,a)].
% 3.63/3.92 69 -cycle(A,B) | -product(A,e_1,e_1) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,4,a)].
% 3.63/3.92 71 -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_3). [resolve(17,e,6,a)].
% 3.63/3.92 72 -cycle(A,B) | -product(A,e_1,e_2) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,7,a)].
% 3.63/3.92 75 -cycle(A,B) | -product(A,e_1,e_3) | -greater(B,e_0) | -next(A,e_4). [resolve(17,e,10,a)].
% 3.63/3.92 78 -cycle(A,B) | -product(A,e_1,e_4) | -greater(B,e_0) | -next(A,e_3). [resolve(17,e,13,a)].
% 3.63/3.92 79 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -greater(e_1,e_0) | -next(C,e_2). [resolve(18,f,2,a)].
% 3.63/3.92 80 -cycle(A,e_1) | -cycle(B,C) | -next(A,B) | -next(C,e_2). [copy(79),unit_del(d,27)].
% 3.63/3.92 85 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -greater(e_2,e_0) | -next(C,e_1). [resolve(18,f,5,a)].
% 3.63/3.92 86 -cycle(A,e_2) | -cycle(B,C) | -next(A,B) | -next(C,e_1). [copy(85),unit_del(d,28)].
% 3.63/3.92 91 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_1). [resolve(18,f,8,a)].
% 3.63/3.92 92 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -next(C,e_1). [copy(91),unit_del(d,29)].
% 3.63/3.92 93 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -greater(e_3,e_0) | -next(C,e_2). [resolve(18,f,9,a)].
% 3.63/3.92 94 -cycle(A,e_3) | -cycle(B,C) | -next(A,B) | -next(C,e_2). [copy(93),unit_del(d,29)].
% 3.63/3.92 107 -group_element(A) | product(A,A,e_1) | product(A,A,e_2) | product(A,A,e_3) | product(A,A,e_4). [factor(42,a,b)].
% 3.63/3.92 151 cycle(e_3,e_0) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3). [resolve(41,a,21,a)].
% 3.63/3.92 152 cycle(e_2,e_0) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(41,a,20,a)].
% 3.63/3.92 154 -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). [resolve(42,a,22,a)].
% 3.63/3.92 155 -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). [resolve(42,a,21,a)].
% 3.63/3.92 156 -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). [resolve(42,a,20,a)].
% 3.63/3.92 157 -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). [resolve(42,a,19,a)].
% 3.63/3.92 163 -cycle(e_2,e_1) | -cycle(e_3,A) | -next(A,e_2). [resolve(80,c,25,a)].
% 3.63/3.92 178 -cycle(e_2,e_2) | -cycle(e_3,A) | -next(A,e_1). [resolve(86,c,25,a)].
% 3.63/3.92 182 -cycle(e_3,e_2). [ur(86,b,37,a,c,26,a,d,23,a)].
% 3.63/3.92 183 cycle(e_3,e_0) | cycle(e_3,e_1) | cycle(e_3,e_3). [back_unit_del(151),unit_del(c,182)].
% 3.63/3.92 193 -cycle(e_2,e_3) | -cycle(e_3,A) | -next(A,e_1). [resolve(92,c,25,a)].
% 3.63/3.92 197 -cycle(e_3,e_3). [ur(92,b,37,a,c,26,a,d,23,a)].
% 3.63/3.92 198 cycle(e_3,e_0) | cycle(e_3,e_1). [back_unit_del(183),unit_del(c,197)].
% 3.63/3.92 199 -cycle(e_2,e_3) | -cycle(e_3,A) | -next(A,e_2). [resolve(94,c,25,a)].
% 3.63/3.92 221 product(e_4,e_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3) | product(e_4,e_4,e_4). [resolve(107,a,22,a)].
% 3.63/3.92 222 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_3,e_3,e_3) | product(e_3,e_3,e_4). [resolve(107,a,21,a)].
% 3.63/3.92 223 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_2,e_2,e_4). [resolve(107,a,20,a)].
% 3.63/3.92 224 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_1,e_4). [resolve(107,a,19,a)].
% 3.63/3.92 278 -cycle(e_2,e_1) | -cycle(e_3,e_1). [resolve(163,c,24,a)].
% 3.63/3.92 292 product(e_4,e_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3) | -product(e_3,e_4,e_4). [resolve(221,d,66,b)].
% 3.63/3.92 293 product(e_4,e_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3) | -product(e_2,e_4,e_4). [resolve(221,d,65,b)].
% 3.63/3.92 294 product(e_4,e_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3) | -product(e_1,e_4,e_4). [resolve(221,d,63,b)].
% 3.63/3.92 300 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_3,e_3,e_3) | -product(e_1,e_3,e_4). [resolve(222,d,62,b)].
% 3.63/3.92 310 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | -product(e_2,e_4,A) | product(e_4,e_2,A). [resolve(223,d,40,a)].
% 3.63/3.92 314 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_4,A) | product(e_4,e_1,A). [resolve(224,d,40,a)].
% 3.63/3.92 318 -cycle(e_2,e_2) | -cycle(e_3,e_0). [resolve(178,c,23,a)].
% 3.63/3.92 319 -cycle(e_2,e_2) | cycle(e_3,e_1). [resolve(318,b,198,a)].
% 3.63/3.92 328 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_4). [resolve(154,a,19,a)].
% 3.63/3.92 354 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(e_4,e_4,A). [resolve(328,d,40,a)].
% 3.63/3.92 357 -cycle(e_2,e_3) | -cycle(e_3,e_0). [resolve(193,c,23,a)].
% 3.63/3.92 358 -cycle(e_2,e_3) | cycle(e_3,e_1). [resolve(357,b,198,a)].
% 3.63/3.92 363 -cycle(e_2,e_3) | -cycle(e_3,e_1). [resolve(199,c,24,a)].
% 3.63/3.92 368 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_4). [resolve(155,a,22,a)].
% 3.63/3.92 370 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_3,e_1,e_4). [resolve(155,a,19,a)].
% 3.63/3.92 372 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3). [resolve(368,d,292,d)].
% 3.63/3.92 379 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_4,A) | product(e_4,e_3,A). [resolve(368,d,40,a)].
% 3.63/3.92 393 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | -product(e_1,e_1,e_4). [resolve(370,d,62,b)].
% 3.63/3.92 395 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | -product(e_1,e_4,A) | product(e_4,e_3,A). [resolve(370,d,40,a)].
% 3.63/3.92 398 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_4). [resolve(156,a,22,a)].
% 3.63/3.92 399 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_2,e_3,e_4). [resolve(156,a,21,a)].
% 3.63/3.92 400 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4). [resolve(156,a,19,a)].
% 3.63/3.92 409 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_4). [resolve(157,a,22,a)].
% 3.63/3.92 410 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_1,e_3,e_4). [resolve(157,a,21,a)].
% 3.63/3.92 411 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4). [resolve(157,a,20,a)].
% 3.63/3.92 422 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(393,d,224,d)].
% 3.63/3.92 424 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3). [resolve(398,d,293,d)].
% 3.63/3.92 430 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_4,A) | product(e_4,e_2,A). [resolve(398,d,40,a)].
% 3.63/3.92 435 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_1,e_3,e_4). [resolve(399,d,61,b)].
% 3.63/3.92 438 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(A,e_2,e_3) | product(e_3,A,e_4). [resolve(399,d,40,b)].
% 3.63/3.92 439 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_3,e_4,A) | product(e_4,e_2,A). [resolve(399,d,40,a)].
% 3.63/3.92 443 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | -cycle(e_2,A) | -greater(A,e_0). [resolve(400,d,78,b),unit_del(f,25)].
% 3.63/3.92 444 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | -product(e_1,e_1,e_4). [resolve(400,d,61,b)].
% 3.63/3.92 447 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | -cycle(e_2,e_0). [resolve(400,d,38,b),unit_del(e,35)].
% 3.63/3.92 448 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(447,d,152,a)].
% 3.63/3.92 450 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_4,e_3). [resolve(409,d,294,d)].
% 3.63/3.92 453 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_1,e_4). [resolve(409,d,57,b)].
% 3.63/3.92 455 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_4,A) | product(e_4,e_1,A). [resolve(409,d,40,a)].
% 3.63/3.92 457 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_3,e_3,e_3). [resolve(410,d,300,d)].
% 3.63/3.92 459 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_1,e_1,e_4). [resolve(410,d,56,b)].
% 3.63/3.92 460 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(A,e_1,e_3) | product(e_3,A,e_4). [resolve(410,d,40,b)].
% 3.63/3.92 461 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_3,e_4,A) | product(e_4,e_1,A). [resolve(410,d,40,a)].
% 3.63/3.92 465 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | -product(e_1,e_1,e_4). [resolve(411,d,55,b)].
% 3.63/3.92 466 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | -product(A,e_1,e_2) | product(e_2,A,e_4). [resolve(411,d,40,b)].
% 3.63/3.92 477 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(435,d,410,d)].
% 3.63/3.92 480 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(444,d,224,d)].
% 3.63/3.92 483 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_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(453,d,224,d)].
% 3.63/3.92 486 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(459,d,224,d)].
% 3.63/3.92 487 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(465,d,224,d)].
% 3.63/3.92 571 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -cycle(e_2,e_0). [resolve(448,c,38,b),unit_del(g,34)].
% 3.63/3.92 580 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(571,f,152,a),merge(f),merge(g),merge(h)].
% 3.63/3.92 581 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | product(e_2,e_2,e_4). [resolve(580,b,466,d)].
% 3.63/3.92 584 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_1,e_2). [resolve(580,b,61,b)].
% 3.63/3.92 586 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_2,A) | product(e_2,e_2,A). [resolve(580,b,40,a)].
% 3.63/3.92 621 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_3,e_3). [resolve(372,f,379,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 628 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_4,e_1) | product(e_4,e_4,e_2) | -product(e_4,e_3,A) | product(e_3,e_4,A). [resolve(372,f,40,a)].
% 3.63/3.92 696 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(A,e_3,e_1) | product(e_1,A,e_3). [resolve(422,c,40,b)].
% 3.63/3.92 699 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_3,e_1). [factor(696,e,g)].
% 3.63/3.92 709 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_2,e_3). [resolve(424,f,430,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 713 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_4,e_1) | product(e_4,e_4,e_2) | -product(e_4,e_2,e_3). [resolve(424,f,59,b)].
% 3.63/3.92 755 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_4,e_1) | product(e_4,e_4,e_2) | product(e_4,e_1,e_3). [resolve(450,f,455,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 760 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_4,e_1) | product(e_4,e_4,e_2) | -product(e_4,e_1,e_3). [resolve(450,f,57,b)].
% 3.63/3.92 769 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | -product(e_2,e_3,e_3). [resolve(457,f,64,b)].
% 3.63/3.92 824 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_3,e_3,A) | product(e_3,e_2,A). [resolve(477,c,40,a)].
% 3.63/3.92 839 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(A,e_2,e_1) | product(e_1,A,e_3). [resolve(480,c,40,b)].
% 3.63/3.92 842 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_2,e_1). [factor(839,e,g)].
% 3.63/3.92 859 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_4,e_1,e_3). [resolve(483,c,314,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 861 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_2,e_3). [resolve(483,c,59,b)].
% 3.63/3.92 871 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_2,e_3). [resolve(486,c,58,b)].
% 3.63/3.92 1047 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_4,e_1) | product(e_4,e_3,e_3) | product(e_4,e_3,e_2). [resolve(621,e,379,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 1051 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_4,e_1) | product(e_4,e_3,e_3) | -product(e_4,e_3,e_2). [resolve(621,e,60,b)].
% 3.63/3.92 1141 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | -product(e_1,e_2,e_4). [resolve(581,h,61,b)].
% 3.63/3.92 1198 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_4,e_1) | product(e_4,e_2,e_3) | product(e_4,e_2,e_2). [resolve(709,e,430,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 1205 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_4,e_1) | product(e_4,e_2,e_3) | -product(e_4,e_2,A) | product(e_2,e_4,A). [resolve(709,e,40,a)].
% 3.63/3.92 1253 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_4,e_1) | product(e_4,e_1,e_3) | product(e_4,e_1,e_2). [resolve(755,e,455,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 1259 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_4,e_1) | product(e_4,e_1,e_3) | -product(e_4,e_1,e_2). [resolve(755,e,57,b)].
% 3.63/3.92 1283 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(769,f,477,c),merge(h),merge(i),merge(j)].
% 3.63/3.92 1355 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_2,e_1,e_3). [resolve(859,f,65,b)].
% 3.63/3.92 1362 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(861,f,487,c),merge(h),merge(i),merge(j)].
% 3.63/3.92 1363 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(871,f,487,c),merge(h),merge(i),merge(j)].
% 3.63/3.92 1365 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,e_3) | product(e_4,e_3,e_2) | product(e_4,e_3,e_1). [resolve(1047,d,379,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 1369 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,e_3) | product(e_4,e_3,e_2) | -product(e_4,e_3,e_1). [resolve(1047,d,60,b)].
% 3.63/3.92 1387 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,e_3) | product(e_4,e_2,e_2) | product(e_4,e_2,e_1). [resolve(1198,d,430,d),merge(f),merge(g),merge(h)].
% 3.63/3.92 1392 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,e_3) | product(e_4,e_2,e_2) | -product(e_4,e_2,e_1). [resolve(1198,d,59,b)].
% 3.63/3.93 1421 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,e_3) | product(e_4,e_1,e_2) | product(e_4,e_1,e_1). [resolve(1253,d,455,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 1428 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,e_3) | product(e_4,e_1,e_2) | -product(e_4,e_1,A) | product(e_1,e_4,A). [resolve(1253,d,40,a)].
% 3.63/3.93 1458 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(1355,f,480,c),merge(h),merge(i),merge(j)].
% 3.63/3.93 1461 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,e_2) | product(e_4,e_3,e_1) | product(e_4,e_4,e_1) | product(e_4,e_4,e_2). [resolve(1365,d,628,f),merge(f),merge(g),merge(h),merge(k)].
% 3.63/3.93 1487 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,e_2) | product(e_4,e_2,e_1) | product(e_4,e_4,e_1) | product(e_4,e_4,e_2). [resolve(1387,d,713,f),merge(f),merge(g),merge(h)].
% 3.63/3.93 1516 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,e_2) | product(e_4,e_1,e_1) | product(e_4,e_4,e_1) | product(e_4,e_4,e_2). [resolve(1421,d,760,f),merge(f),merge(g),merge(h)].
% 3.63/3.93 2235 product(e_1,e_4,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_3,e_2). [resolve(1362,b,60,b)].
% 3.63/3.93 2308 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,e_2) | product(e_4,e_3,e_1) | product(e_4,e_4,e_1). [resolve(1461,g,379,d),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 2309 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,e_2) | product(e_4,e_3,e_1). [resolve(2308,f,379,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 2310 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,e_1) | product(e_4,e_4,e_1) | product(e_4,e_3,e_3). [resolve(2309,d,1051,f),merge(e),merge(f),merge(g)].
% 3.63/3.93 2358 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,e_1) | product(e_4,e_3,e_3). [resolve(2310,e,379,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 2372 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,e_1) | -product(e_4,e_3,e_2). [resolve(2358,e,52,b)].
% 3.63/3.93 2405 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,e_1). [resolve(2372,e,2309,d),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 2407 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,e_3) | product(e_4,e_3,e_2). [resolve(2405,d,1369,f),merge(d),merge(e),merge(f)].
% 3.63/3.93 2457 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,e_2) | -product(e_4,e_3,e_1). [resolve(2407,d,50,b)].
% 3.63/3.93 2512 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,e_2). [resolve(2457,e,2405,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 2526 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,e_1). [resolve(2512,d,49,b)].
% 3.63/3.93 2554 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3). [resolve(2526,d,2405,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 2562 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_4,e_1,e_3). [resolve(2554,c,461,d)].
% 3.63/3.93 2563 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_4,e_2,e_3). [resolve(2554,c,439,d)].
% 3.63/3.93 2567 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | -product(e_1,e_4,e_3). [resolve(2554,c,62,b)].
% 3.63/3.93 2657 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_4,e_4). [resolve(2562,f,460,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 2669 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_3,e_4,e_4). [resolve(2563,f,438,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 2714 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_3,e_4,e_3). [resolve(2657,f,54,b)].
% 3.63/3.93 2736 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_3,e_4,e_3). [resolve(2669,f,54,b)].
% 3.63/3.93 2895 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(2714,f,2554,c),merge(f),merge(g)].
% 3.63/3.93 2910 product(e_3,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_4,e_1,e_2). [resolve(2895,b,461,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 2913 product(e_3,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_1,e_4,e_2). [resolve(2895,b,62,b)].
% 3.63/3.93 2914 product(e_3,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_3,e_3,e_2). [resolve(2895,b,60,b)].
% 3.63/3.93 2926 product(e_3,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(A,e_4,e_1) | product(e_1,A,e_2). [resolve(2910,e,40,b)].
% 3.63/3.93 2940 product(e_3,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(2914,e,1283,e),merge(e),merge(f),merge(g)].
% 3.63/3.93 3056 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3). [resolve(2736,f,2554,c),merge(f),merge(g)].
% 3.63/3.93 3061 product(e_3,e_4,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_4,e_2,e_2). [resolve(3056,b,439,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 3068 product(e_3,e_4,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_4,e_2,A) | product(e_2,e_3,A). [resolve(3056,b,40,a)].
% 3.63/3.93 3070 product(e_3,e_4,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_4,e_2,e_2). [factor(3068,c,f)].
% 3.63/3.93 3100 product(e_3,e_4,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3). [resolve(3070,e,3061,e),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 3105 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_4,e_2,e_1). [resolve(3100,a,439,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 3107 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(e_2,e_4,e_1). [resolve(3100,a,64,b)].
% 3.63/3.93 3120 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | -product(A,e_4,e_2) | product(e_2,A,e_1). [resolve(3105,d,40,b)].
% 3.63/3.93 3228 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,e_2) | product(e_4,e_2,e_1) | product(e_4,e_4,e_1). [resolve(1487,g,430,d),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 3230 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,e_2) | product(e_4,e_2,e_1). [resolve(3228,f,430,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 3234 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,e_1) | product(e_4,e_4,e_1) | product(e_4,e_2,e_3). [resolve(3230,d,1205,f),merge(e),merge(f),merge(g),merge(j)].
% 3.63/3.93 3278 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,e_1) | product(e_4,e_2,e_3). [resolve(3234,e,430,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 3299 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,e_1) | -product(e_4,e_2,e_2). [resolve(3278,e,52,b)].
% 3.63/3.93 3308 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,e_1). [resolve(3299,e,3230,d),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 3312 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,e_3) | product(e_4,e_2,e_2). [resolve(3308,d,1392,f),merge(d),merge(e),merge(f)].
% 3.63/3.93 3346 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,e_2) | -product(e_4,e_2,e_1). [resolve(3312,d,50,b)].
% 3.63/3.93 3395 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,e_2). [resolve(3346,e,3308,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 3417 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,e_1). [resolve(3395,d,49,b)].
% 3.63/3.93 3425 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3). [resolve(3417,d,3308,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 3443 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | -product(e_1,e_4,e_3). [resolve(3425,c,61,b)].
% 3.63/3.93 3446 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | -product(e_2,e_1,e_3). [resolve(3425,c,57,b)].
% 3.63/3.93 3826 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,e_2) | product(e_4,e_1,e_1) | product(e_4,e_4,e_1). [resolve(1516,g,455,d),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 3829 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,e_2) | product(e_4,e_1,e_1). [resolve(3826,f,455,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 3835 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,e_1) | product(e_4,e_4,e_1) | product(e_4,e_1,e_3). [resolve(3829,d,1259,f),merge(e),merge(f),merge(g)].
% 3.63/3.93 3848 product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(1141,h,411,d),merge(h),merge(i),merge(j)].
% 3.63/3.93 3860 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,e_1) | product(e_4,e_1,e_3). [resolve(3835,e,455,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 3876 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,e_1) | -product(e_4,e_1,e_2). [resolve(3860,e,52,b)].
% 3.63/3.93 3891 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,e_1). [resolve(3876,e,3829,d),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 3896 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,e_3) | product(e_4,e_1,e_2). [resolve(3891,d,1428,f),merge(d),merge(e),merge(f),merge(i)].
% 3.63/3.93 3938 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,e_2) | -product(e_4,e_1,e_1). [resolve(3896,d,50,b)].
% 3.63/3.93 3963 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,e_2). [resolve(3938,e,3891,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 3975 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,e_1). [resolve(3963,d,49,b)].
% 3.63/3.93 3987 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3). [resolve(3975,d,3891,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 3988 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2). [resolve(3987,c,3443,c)].
% 3.63/3.93 3992 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_4,e_1) | product(e_3,e_4,e_2). [resolve(3987,c,2567,c)].
% 3.63/3.93 4003 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_4,e_3,e_3). [resolve(3987,c,395,d)].
% 3.63/3.93 4004 product(e_1,e_4,e_1) | product(e_1,e_4,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_4,e_4,e_3). [resolve(3987,c,354,d)].
% 3.63/3.93 4010 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | -product(e_4,e_3,A) | product(e_3,e_1,A). [resolve(3987,c,40,a)].
% 3.63/3.93 4017 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_2,e_2,e_1). [resolve(3988,d,3120,d)].
% 3.63/3.93 4030 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_4,e_2,e_2). [resolve(3988,d,310,d)].
% 3.63/3.93 4032 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_2,e_2,e_2). [resolve(3988,d,59,b)].
% 3.63/3.93 4033 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_2,e_1,e_2). [resolve(3988,d,57,b)].
% 3.63/3.93 4035 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_4,e_2,A) | product(e_2,e_2,A). [resolve(3988,d,40,a)].
% 3.63/3.93 4050 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_4,e_2). [resolve(3992,d,64,b)].
% 3.63/3.93 4055 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_4,e_1) | -product(e_4,e_2,A) | product(e_2,e_3,A). [resolve(3992,d,40,a)].
% 3.63/3.93 4076 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1). [resolve(4033,d,1458,g),merge(d),merge(e)].
% 3.63/3.93 4077 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(4033,d,580,b)].
% 3.63/3.93 4078 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_4,e_1). [resolve(4050,d,3988,d),merge(d),merge(e)].
% 3.63/3.93 4100 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_3,e_2,e_1). [resolve(4078,c,59,b)].
% 3.63/3.93 4103 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_4,e_1,A) | product(e_1,e_3,A). [resolve(4078,c,40,a)].
% 3.63/3.93 4156 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [resolve(4003,f,4010,c),merge(f),merge(g),merge(h)].
% 3.63/3.93 4163 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | -cycle(e_3,A) | -greater(A,e_0). [resolve(4156,e,75,b),unit_del(g,26)].
% 3.63/3.93 4181 product(e_1,e_4,e_1) | product(e_1,e_4,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_1,e_4,e_3). [resolve(4004,f,63,b)].
% 3.63/3.93 4217 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3). [resolve(4181,f,3987,c),merge(f),merge(g)].
% 3.63/3.93 4218 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_2,e_4,e_1) | product(e_1,e_3,e_3). [resolve(4217,e,4103,d),merge(e),merge(f)].
% 3.63/3.93 4273 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_4,e_1,e_1) | product(e_2,e_4,e_1) | product(e_1,e_3,e_3) | product(e_1,e_3,e_2). [resolve(4218,d,4103,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 4343 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_1,e_3,e_3) | product(e_1,e_3,e_2) | product(e_1,e_3,e_1). [resolve(4273,c,4103,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 4408 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_3,e_3) | product(e_1,e_3,e_2) | product(e_1,e_3,e_1) | -product(e_2,e_2,e_1). [resolve(4343,c,59,b)].
% 3.63/3.93 4434 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | -product(e_1,e_1,e_1). [resolve(3848,a,61,b)].
% 3.63/3.93 4447 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_2,e_2,e_1). [resolve(4077,c,59,b)].
% 3.63/3.93 5011 product(e_1,e_4,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_1). [resolve(2235,g,1363,b),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 5102 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_4,e_1,e_1). [resolve(2940,a,461,d),merge(g),merge(h),merge(i)].
% 3.63/3.93 5107 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_4,e_1,A) | product(e_1,e_3,A). [resolve(2940,a,40,a)].
% 3.63/3.93 5108 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_4,e_1,e_1). [factor(5107,a,h)].
% 3.63/3.93 5329 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3) | product(e_2,e_2,e_1). [resolve(4017,c,3107,d),merge(g),merge(h),merge(i)].
% 3.63/3.93 5339 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_2,e_1) | -product(e_2,e_2,e_3). [resolve(5329,e,58,b)].
% 3.63/3.93 5407 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3). [resolve(4030,g,4035,d),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 5411 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_4,e_2,e_1). [resolve(5407,c,310,d),merge(f),merge(g),merge(h)].
% 3.63/3.93 5412 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | -product(e_2,e_3,e_1). [resolve(5407,c,60,b)].
% 3.63/3.93 5417 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_3,e_4,e_1) | product(e_2,e_3,e_1). [resolve(5411,f,4055,d),merge(f),merge(g)].
% 3.63/3.93 5451 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1) | -product(e_2,e_2,e_1). [resolve(4076,c,59,b)].
% 3.63/3.93 5816 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_1) | product(e_4,e_1,e_1). [resolve(5011,a,314,d),merge(g),merge(h),merge(i)].
% 3.63/3.93 5818 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_1) | -product(e_4,e_1,A) | product(e_1,e_1,A). [resolve(5011,a,40,a)].
% 3.63/3.93 5819 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_1) | -product(e_4,e_1,e_1). [factor(5818,a,h)].
% 3.63/3.93 5935 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(5108,g,5102,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 5940 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_1). [resolve(5935,d,824,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 5941 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_3,e_2,e_1). [resolve(5935,d,58,b)].
% 3.63/3.93 5968 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(5941,f,5940,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 5988 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_2,e_3,e_1) | -product(e_2,e_2,e_2). [resolve(5968,e,58,b)].
% 3.63/3.93 6514 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_2,e_3,e_1) | -product(e_2,e_4,e_1). [resolve(5417,f,64,b)].
% 3.63/3.93 7171 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_1). [resolve(5819,g,5816,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 7177 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2). [resolve(7171,f,699,f),merge(h),merge(i),merge(j)].
% 3.63/3.93 7180 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_3,e_1,A) | product(e_1,e_1,A). [resolve(7171,f,40,a)].
% 3.63/3.93 7181 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_3,e_1,e_1). [factor(7180,a,g)].
% 3.63/3.93 7182 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_3,e_1,e_2). [factor(7180,b,g)].
% 3.63/3.93 7636 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3) | product(e_2,e_3,e_1). [resolve(6514,g,5407,c),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 3.63/3.93 7638 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3). [resolve(7636,f,5412,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 7646 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(7638,e,5339,f),merge(e),merge(f),merge(i)].
% 3.63/3.93 7650 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_2,e_3,A) | product(e_3,e_2,A). [resolve(7638,e,40,a)].
% 3.63/3.93 7662 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_3,e_1) | -product(e_3,e_2,A) | product(e_2,e_2,A). [resolve(7646,f,40,a)].
% 3.63/3.93 7664 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_3,e_1) | -product(e_3,e_2,e_2). [factor(7662,d,g)].
% 3.63/3.93 7668 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_3,e_2,e_2) | product(e_2,e_3,e_1). [resolve(7650,e,7646,f),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 7681 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_3,e_1). [resolve(7668,e,7664,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 7682 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_3,e_2,e_1). [resolve(7681,e,7650,e),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 7701 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_4,e_1). [resolve(7682,e,4100,d),merge(e),merge(f)].
% 3.63/3.93 7713 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_2,e_3,e_1). [resolve(7701,e,60,b)].
% 3.63/3.93 7716 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(7713,e,7681,e),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 7717 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_2,e_3,e_1). [resolve(7716,d,5988,e)].
% 3.63/3.93 7718 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_4,e_1). [resolve(7716,d,4032,d),merge(d),merge(e)].
% 3.63/3.93 7720 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | -product(e_2,e_1,e_2). [resolve(7716,d,55,b)].
% 3.63/3.93 7730 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | -product(e_2,e_3,e_1). [resolve(7718,d,60,b)].
% 3.63/3.93 7731 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | -product(e_2,e_1,e_1). [resolve(7718,d,57,b)].
% 3.63/3.93 7734 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1). [resolve(7720,d,1458,g),merge(d),merge(e)].
% 3.63/3.93 7735 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(7720,d,580,b)].
% 3.63/3.93 7795 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(7735,c,4447,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 7796 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_2,e_3) | product(e_2,e_2,e_1). [resolve(7795,c,7731,d),merge(f),merge(g)].
% 3.63/3.93 7829 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_2,e_3) | -product(e_2,e_1,e_1). [resolve(7796,f,55,b)].
% 3.63/3.93 7834 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_2,e_3). [resolve(7829,f,7795,c),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 7868 product(e_1,e_4,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_2,e_2). [resolve(7834,b,59,b)].
% 3.63/3.93 8139 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_3,e_1,e_1). [resolve(7177,g,7182,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 3.63/3.93 8141 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(8139,f,7181,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 8637 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_2,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(7717,g,7730,d),merge(g),merge(h),merge(i)].
% 3.63/3.93 8640 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(8637,c,4408,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 8647 product(e_1,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_4,e_1). [resolve(8640,b,2913,e),merge(f),merge(g),merge(h)].
% 3.63/3.93 8672 product(e_1,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_4,e_1,e_1). [resolve(8647,e,461,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 8678 product(e_1,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_4,e_1,A) | product(e_1,e_3,A). [resolve(8647,e,40,a)].
% 3.63/3.93 8679 product(e_1,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_4,e_1,e_1). [factor(8678,b,f)].
% 3.63/3.93 8717 product(e_1,e_4,e_1) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(8679,e,8672,e),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 8727 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_4,e_1) | product(e_1,e_1,e_2). [resolve(8717,a,2926,e),merge(e),merge(f),merge(g)].
% 3.63/3.93 8749 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_1,e_1,e_2) | -product(e_1,e_4,e_1). [resolve(8727,d,62,b)].
% 3.63/3.93 8771 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_1,e_1,e_2). [resolve(8749,e,8717,a),merge(e),merge(f),merge(g)].
% 3.63/3.93 8797 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_1,e_2) | -product(e_1,e_1,e_3). [resolve(8771,c,56,b)].
% 3.63/3.93 9059 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1). [resolve(7734,c,5451,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 9067 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_2,e_1). [resolve(9059,f,7731,d),merge(f),merge(g)].
% 3.63/3.93 9082 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_2,e_1,e_1). [resolve(9067,f,55,b)].
% 3.63/3.93 9151 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(9082,f,9059,f),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 3.63/3.93 9177 product(e_1,e_4,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_1,e_2,e_2). [resolve(9151,b,59,b)].
% 3.63/3.93 9206 product(e_1,e_4,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1). [resolve(9177,e,8141,e),merge(e),merge(f),merge(g)].
% 3.63/3.93 9226 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | product(e_4,e_1,e_1). [resolve(9206,a,314,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 9229 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | -product(e_4,e_1,A) | product(e_1,e_1,A). [resolve(9206,a,40,a)].
% 3.63/3.93 9230 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1) | -product(e_4,e_1,e_1). [factor(9229,a,f)].
% 3.63/3.93 9252 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_2,e_1). [resolve(9230,e,9226,e),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 9266 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(9252,d,842,f),merge(f),merge(g),merge(h)].
% 3.63/3.93 9270 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_2,e_1,A) | product(e_1,e_1,A). [resolve(9252,d,40,a)].
% 3.63/3.93 9271 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_2,e_1,e_1). [factor(9270,a,e)].
% 3.63/3.93 9272 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | -product(e_2,e_1,e_2). [factor(9270,b,e)].
% 3.63/3.93 9274 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_2,e_1,e_1). [resolve(9266,e,9272,d),merge(e),merge(f),merge(g)].
% 3.63/3.93 9275 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(9274,d,9271,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 9277 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1) | product(e_1,e_3,e_2). [resolve(9275,c,8797,d),merge(e)].
% 3.63/3.93 9289 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(A,e_1,e_1) | product(e_1,A,e_3). [resolve(9275,c,40,b)].
% 3.63/3.93 9290 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_1,e_3,A) | product(e_3,e_1,A). [resolve(9275,c,40,a)].
% 3.63/3.93 9368 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_3,e_1,e_2) | product(e_1,e_3,e_1). [resolve(9290,c,9277,d),merge(d),merge(e)].
% 3.63/3.93 9395 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1) | -cycle(e_3,A) | -greater(A,e_0). [resolve(9368,c,72,b),unit_del(f,26)].
% 3.63/3.93 9396 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1) | -product(e_2,e_1,e_2). [resolve(9368,c,64,b)].
% 3.63/3.93 9419 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1) | product(e_2,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(9396,d,580,b)].
% 3.63/3.93 9551 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_3). [resolve(9419,d,9289,c),merge(g),merge(h)].
% 3.63/3.93 9560 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_3) | product(e_3,e_1,e_1). [resolve(9551,c,9290,c),merge(g),merge(h)].
% 3.63/3.93 9571 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_3) | -product(e_3,e_1,A) | product(e_1,e_1,A). [resolve(9551,c,40,a)].
% 3.63/3.93 9572 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_3) | -product(e_3,e_1,e_1). [factor(9571,a,h)].
% 3.63/3.93 9591 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_3). [resolve(9572,g,9560,g),merge(g),merge(h),merge(i),merge(j),merge(k),merge(l)].
% 3.63/3.93 9606 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_1,e_3). [resolve(9591,f,55,b)].
% 3.63/3.93 9611 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(9606,f,9275,c),merge(f),merge(g)].
% 3.63/3.93 9618 product(e_1,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_2,e_1,e_1). [resolve(9611,b,584,e),merge(f),merge(g),merge(h)].
% 3.63/3.93 9622 product(e_1,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(A,e_1,e_1) | product(e_1,A,e_2). [resolve(9611,b,40,b)].
% 3.63/3.93 9659 product(e_1,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_2). [resolve(9622,e,9618,e),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 9666 product(e_1,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_1,e_2). [resolve(9659,e,55,b)].
% 3.63/3.93 9669 product(e_1,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(9666,e,9611,b),merge(e),merge(f),merge(g),merge(h)].
% 3.63/3.93 9671 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(9669,a,4434,g),merge(d),merge(e),merge(f)].
% 3.63/3.93 9675 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(A,e_1,e_1) | product(e_1,A,e_1). [resolve(9669,a,40,b)].
% 3.63/3.93 9712 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_2,e_1,e_1) | product(e_2,e_2,e_3). [resolve(9671,f,586,e),merge(g),merge(h),merge(i)].
% 3.63/3.93 9742 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_2,e_1,e_1) | -product(e_1,e_2,e_3). [resolve(9712,g,61,b)].
% 3.63/3.93 9770 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_2,e_1,e_1). [resolve(9742,g,9671,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 3.63/3.93 9771 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(9770,f,9675,d),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 9775 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | product(e_1,e_4,e_1). [resolve(9771,e,7868,e),merge(f),merge(g),merge(h)].
% 3.63/3.93 9807 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1) | -product(e_1,e_1,e_1). [resolve(9775,e,57,b)].
% 3.63/3.93 9821 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | product(e_1,e_2,e_1). [resolve(9807,e,9669,a),merge(e),merge(f),merge(g)].
% 3.63/3.93 9832 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3) | -product(e_1,e_1,e_1). [resolve(9821,d,55,b)].
% 3.63/3.93 9836 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_2,e_3). [resolve(9832,d,9669,a),merge(d),merge(e),merge(f)].
% 3.63/3.93 9840 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1). [resolve(9836,c,358,a)].
% 3.63/3.93 9861 cycle(e_2,e_1) | cycle(e_2,e_2) | -cycle(e_2,e_3). [resolve(9840,c,363,b)].
% 3.63/3.93 9877 cycle(e_2,e_1) | cycle(e_2,e_2). [resolve(9861,c,9836,c),merge(c),merge(d)].
% 3.63/3.93 9879 cycle(e_2,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3). [resolve(9877,b,443,d),unit_del(e,28)].
% 3.63/3.93 9882 cycle(e_2,e_1) | cycle(e_3,e_1). [resolve(9877,b,319,a)].
% 3.63/3.93 9896 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_3,e_1). [resolve(9882,b,9395,d),unit_del(e,27)].
% 3.63/3.93 9898 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2). [resolve(9882,b,4163,e),unit_del(f,27)].
% 3.63/3.93 9922 cycle(e_2,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2). [resolve(9879,d,3446,c)].
% 3.63/3.93 9938 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_3,e_1,e_1). [resolve(9896,d,9290,c),merge(d),merge(e)].
% 3.63/3.93 9949 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_3,e_1,A) | product(e_1,e_1,A). [resolve(9896,d,40,a)].
% 3.63/3.93 9950 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_3,e_1,e_1). [factor(9949,b,e)].
% 3.63/3.93 9967 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2). [resolve(9950,d,9938,d),merge(d),merge(e),merge(f)].
% 3.63/3.93 10002 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1) | -cycle(e_3,A) | -greater(A,e_0). [resolve(9898,e,72,b),unit_del(g,26)].
% 3.63/3.93 10035 cycle(e_2,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_4,e_1) | -product(e_1,e_4,e_2). [resolve(9922,e,61,b)].
% 3.63/3.93 10232 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_3,e_1,e_1). [resolve(10002,e,9882,b),merge(f),unit_del(e,27)].
% 3.63/3.93 10241 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | -cycle(e_3,A) | -greater(A,e_0). [resolve(10232,d,69,b),unit_del(f,26)].
% 3.63/3.93 10296 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2). [resolve(10241,d,9882,b),merge(e),unit_del(d,27)].
% 3.63/3.93 10297 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_4,e_1). [resolve(10296,c,10035,e),merge(c)].
% 3.63/3.93 10327 cycle(e_2,e_1) | product(e_1,e_4,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_4,e_4,e_2). [resolve(10296,c,354,d)].
% 3.63/3.93 10330 cycle(e_2,e_1) | product(e_1,e_4,e_1) | -product(e_1,e_2,e_2). [resolve(10296,c,59,b)].
% 3.63/3.93 10331 cycle(e_2,e_1) | product(e_1,e_4,e_1) | -product(e_1,e_1,e_2). [resolve(10296,c,57,b)].
% 3.63/3.93 10346 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_1,e_1). [resolve(10331,c,9967,c),merge(c)].
% 3.63/3.93 10365 cycle(e_2,e_1) | product(e_1,e_1,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_4,e_4,e_1). [resolve(10346,b,354,d)].
% 3.63/3.93 10370 cycle(e_2,e_1) | product(e_1,e_1,e_1) | -product(e_4,e_1,A) | product(e_1,e_1,A). [resolve(10346,b,40,a)].
% 3.63/3.93 10371 cycle(e_2,e_1) | product(e_1,e_1,e_1) | -product(e_4,e_1,e_1). [factor(10370,b,d)].
% 3.63/3.93 10390 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_4,e_1,A) | product(e_1,e_2,A). [resolve(10297,e,40,a)].
% 3.63/3.93 10509 cycle(e_2,e_1) | product(e_1,e_4,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_1,e_4,e_2). [resolve(10327,f,63,b)].
% 3.63/3.93 10539 cycle(e_2,e_1) | product(e_1,e_1,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_1,e_4,e_1). [resolve(10365,f,63,b)].
% 3.63/3.93 10682 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3). [resolve(10509,f,10296,c),merge(f),merge(g)].
% 3.63/3.93 10705 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | -product(e_2,e_1,e_3). [resolve(10682,e,65,b)].
% 3.63/3.93 10717 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(10705,e,9879,d),merge(e)].
% 3.63/3.93 10777 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3). [resolve(10539,f,10346,b),merge(f),merge(g)].
% 3.63/3.93 10778 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_1,e_1,e_3). [resolve(10777,e,10370,c),merge(e),merge(f)].
% 3.63/3.93 10824 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_4,e_1,e_1) | product(e_1,e_1,e_3) | -product(e_1,e_1,e_2). [resolve(10778,d,63,b)].
% 3.63/3.93 10830 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_4,e_1,e_1) | product(e_1,e_1,e_3). [resolve(10824,e,9967,c),merge(e),merge(f)].
% 3.63/3.93 10831 cycle(e_2,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_3). [resolve(10830,c,10371,c),merge(d),merge(e)].
% 3.63/3.93 10837 cycle(e_2,e_1) | product(e_1,e_1,e_1) | -product(e_1,e_1,e_2). [resolve(10831,c,52,b)].
% 3.63/3.93 10840 cycle(e_2,e_1) | product(e_1,e_1,e_1). [resolve(10837,c,9967,c),merge(c),merge(d)].
% 3.63/3.93 10845 cycle(e_2,e_1) | -product(A,e_1,e_1) | product(e_1,A,e_1). [resolve(10840,b,40,b)].
% 3.63/3.93 10896 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_4,e_1,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_1,e_2,e_2). [resolve(10717,d,10390,e),merge(f),merge(g),merge(h),merge(i)].
% 3.63/3.93 10947 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_1,e_2,e_2). [resolve(10896,c,10845,b),merge(f),merge(g)].
% 3.63/3.93 10951 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_2,e_1,e_1) | product(e_1,e_2,e_2) | -cycle(e_2,A) | -greater(A,e_0). [resolve(10947,d,71,b),unit_del(g,25)].
% 3.63/3.93 10956 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_2,e_1,e_1) | product(e_1,e_2,e_2). [resolve(10951,e,9877,b),merge(f),unit_del(e,28)].
% 3.63/3.93 10963 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_1,e_1). [resolve(10956,c,61,b)].
% 3.63/3.93 10992 cycle(e_2,e_1) | product(e_1,e_4,e_1) | product(e_1,e_2,e_2). [resolve(10963,d,10840,b),merge(d)].
% 3.63/3.93 11014 cycle(e_2,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_1,e_1). [resolve(10992,b,57,b)].
% 3.63/3.93 11017 cycle(e_2,e_1) | product(e_1,e_2,e_2). [resolve(11014,c,10840,b),merge(c)].
% 3.63/3.93 11018 cycle(e_2,e_1) | product(e_1,e_4,e_1). [resolve(11017,b,10330,c),merge(b)].
% 3.63/3.93 11049 cycle(e_2,e_1) | -product(e_1,e_1,e_1). [resolve(11018,b,57,b)].
% 3.63/3.93 11052 cycle(e_2,e_1). [resolve(11049,b,10840,b),merge(b)].
% 3.63/3.93 11053 -cycle(e_3,e_1). [back_unit_del(278),unit_del(a,11052)].
% 3.63/3.93 11323 cycle(e_3,e_0). [back_unit_del(198),unit_del(b,11053)].
% 3.63/3.93 11422 $F. [ur(39,a,11052,a,c,37,a,d,26,a,e,34,a,f,27,a),unit_del(a,11323)].
% 3.63/3.93
% 3.63/3.93 % SZS output end Refutation
% 3.63/3.93 ============================== end of proof ==========================
% 3.63/3.93
% 3.63/3.93 ============================== STATISTICS ============================
% 3.63/3.93
% 3.63/3.93 Given=3261. Generated=37398. Kept=11391. proofs=1.
% 3.63/3.93 Usable=1482. Sos=1907. Demods=0. Limbo=13, Disabled=8079. Hints=0.
% 3.63/3.93 Megabytes=13.81.
% 3.63/3.93 User_CPU=2.92, System_CPU=0.03, Wall_clock=3.
% 3.63/3.93
% 3.63/3.93 ============================== end of statistics =====================
% 3.63/3.93
% 3.63/3.93 ============================== end of search =========================
% 3.63/3.93
% 3.63/3.93 THEOREM PROVED
% 3.63/3.93 % SZS status Unsatisfiable
% 3.63/3.93
% 3.63/3.93 Exiting with 1 proof.
% 3.63/3.93
% 3.63/3.93 Process 14357 exit (max_proofs) Tue Jun 14 08:06:13 2022
% 3.63/3.93 Prover9 interrupted
%------------------------------------------------------------------------------