TSTP Solution File: GRP129-2.004 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 1.43s 1.71s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 08:48:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.97 ============================== Prover9 ===============================
% 0.43/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.97 Process 17926 was started by sandbox on n027.cluster.edu,
% 0.43/0.97 Tue Jun 14 08:48:48 2022
% 0.43/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17544_n027.cluster.edu".
% 0.43/0.97 ============================== end of head ===========================
% 0.43/0.97
% 0.43/0.97 ============================== INPUT =================================
% 0.43/0.97
% 0.43/0.97 % Reading from file /tmp/Prover9_17544_n027.cluster.edu
% 0.43/0.97
% 0.43/0.97 set(prolog_style_variables).
% 0.43/0.97 set(auto2).
% 0.43/0.97 % set(auto2) -> set(auto).
% 0.43/0.97 % set(auto) -> set(auto_inference).
% 0.43/0.97 % set(auto) -> set(auto_setup).
% 0.43/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.97 % set(auto) -> set(auto_limits).
% 0.43/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.97 % set(auto) -> set(auto_denials).
% 0.43/0.97 % set(auto) -> set(auto_process).
% 0.43/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.97 % set(auto2) -> assign(stats, some).
% 0.43/0.97 % set(auto2) -> clear(echo_input).
% 0.43/0.97 % set(auto2) -> set(quiet).
% 0.43/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.97 % set(auto2) -> clear(print_given).
% 0.43/0.97 assign(lrs_ticks,-1).
% 0.43/0.97 assign(sos_limit,10000).
% 0.43/0.97 assign(order,kbo).
% 0.43/0.97 set(lex_order_vars).
% 0.43/0.97 clear(print_given).
% 0.43/0.97
% 0.43/0.97 % formulas(sos). % not echoed (31 formulas)
% 0.43/0.97
% 0.43/0.97 ============================== end of input ==========================
% 0.43/0.97
% 0.43/0.97 % From the command line: assign(max_seconds, 300).
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.97
% 0.43/0.97 % Formulas that are not ordinary clauses:
% 0.43/0.97
% 0.43/0.97 ============================== end of process non-clausal formulas ===
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.97
% 0.43/0.97 ============================== PREDICATE ELIMINATION =================
% 0.43/0.97 1 -product(A,e_1,B) | -next(A,C) | -greater(B,C) # label(no_redundancy) # label(axiom). [assumption].
% 0.43/0.97 2 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 0.43/0.97 3 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 0.43/0.97 4 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom). [assumption].
% 0.43/0.97 Derived: -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 0.43/0.97 Derived: -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 0.43/0.97 Derived: -product(e_3,e_1,A) | -greater(A,e_4). [resolve(1,b,4,a)].
% 0.43/0.97 5 -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 0.43/0.97 6 greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom). [assumption].
% 0.43/0.97 7 greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom). [assumption].
% 0.43/0.97 8 greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom). [assumption].
% 0.43/0.97 9 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 0.43/0.97 10 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 0.43/0.97 11 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom). [assumption].
% 0.43/0.97 Derived: -product(e_1,e_1,e_3). [resolve(5,b,9,a)].
% 0.43/0.97 Derived: -product(e_1,e_1,e_4). [resolve(5,b,10,a)].
% 0.43/0.97 12 -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 0.43/0.97 Derived: -product(e_2,e_1,e_4). [resolve(12,b,11,a)].
% 0.43/0.97 13 -product(e_3,e_1,A) | -greater(A,e_4). [resolve(1,b,4,a)].
% 0.43/0.97 14 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.43/0.97 15 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.43/0.97 16 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.43/0.97 17 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 0.43/0.97 18 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.43/0.97 19 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 1.43/1.71 20 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 1.43/1.71 21 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 1.43/1.71 22 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 1.43/1.71 23 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 1.43/1.71 24 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom). [assumption].
% 1.43/1.71 25 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom). [assumption].
% 1.43/1.71 26 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 1.43/1.71 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(14,c,15,a)].
% 1.43/1.71 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(14,c,16,a)].
% 1.43/1.71 Derived: -product(A,B,e_1) | -product(A,B,e_4). [resolve(14,c,17,a)].
% 1.43/1.71 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(14,c,19,a)].
% 1.43/1.71 Derived: -product(A,B,e_2) | -product(A,B,e_4). [resolve(14,c,20,a)].
% 1.43/1.71 Derived: -product(A,B,e_3) | -product(A,B,e_4). [resolve(14,c,23,a)].
% 1.43/1.71 27 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 1.43/1.71 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(27,c,15,a)].
% 1.43/1.71 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(27,c,16,a)].
% 1.43/1.71 Derived: -product(A,e_1,B) | -product(A,e_4,B). [resolve(27,c,17,a)].
% 1.43/1.71 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(27,c,19,a)].
% 1.43/1.71 Derived: -product(A,e_2,B) | -product(A,e_4,B). [resolve(27,c,20,a)].
% 1.43/1.71 Derived: -product(A,e_3,B) | -product(A,e_4,B). [resolve(27,c,23,a)].
% 1.43/1.71 28 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 1.43/1.71 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(28,c,15,a)].
% 1.43/1.71 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(28,c,16,a)].
% 1.43/1.71 Derived: -product(e_1,A,B) | -product(e_4,A,B). [resolve(28,c,17,a)].
% 1.43/1.71 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(28,c,19,a)].
% 1.43/1.71 Derived: -product(e_2,A,B) | -product(e_4,A,B). [resolve(28,c,20,a)].
% 1.43/1.71 Derived: -product(e_3,A,B) | -product(e_4,A,B). [resolve(28,c,23,a)].
% 1.43/1.71
% 1.43/1.71 ============================== end predicate elimination =============
% 1.43/1.71
% 1.43/1.71 Auto_denials: (non-Horn, no changes).
% 1.43/1.71
% 1.43/1.71 Term ordering decisions:
% 1.43/1.71 Function symbol KB weights: e_1=1. e_2=1. e_3=1. e_4=1.
% 1.43/1.71
% 1.43/1.71 ============================== end of process initial clauses ========
% 1.43/1.71
% 1.43/1.71 ============================== CLAUSES FOR SEARCH ====================
% 1.43/1.71
% 1.43/1.71 ============================== end of clauses for search =============
% 1.43/1.71
% 1.43/1.71 ============================== SEARCH ================================
% 1.43/1.71
% 1.43/1.71 % Starting search at 0.01 seconds.
% 1.43/1.71
% 1.43/1.71 ============================== PROOF =================================
% 1.43/1.71 % SZS status Unsatisfiable
% 1.43/1.71 % SZS output start Refutation
% 1.43/1.71
% 1.43/1.71 % Proof 1 at 0.73 (+ 0.01) seconds.
% 1.43/1.71 % Length of proof is 195.
% 1.43/1.71 % Level of proof is 69.
% 1.43/1.71 % Maximum clause weight is 40.000.
% 1.43/1.71 % Given clauses 1037.
% 1.43/1.71
% 1.43/1.71 1 -product(A,e_1,B) | -next(A,C) | -greater(B,C) # label(no_redundancy) # label(axiom). [assumption].
% 1.43/1.71 2 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 1.43/1.71 3 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 1.43/1.71 5 -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 1.43/1.71 9 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 1.43/1.71 10 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 1.43/1.71 11 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom). [assumption].
% 1.43/1.71 12 -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 1.43/1.71 14 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 1.43/1.71 15 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 1.43/1.71 16 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 1.43/1.71 17 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 1.43/1.71 19 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 1.43/1.71 20 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 1.43/1.71 23 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 1.43/1.71 27 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 1.43/1.71 28 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 1.43/1.71 29 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 1.43/1.71 30 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 1.43/1.71 31 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 1.43/1.71 32 group_element(e_4) # label(element_4) # label(axiom). [assumption].
% 1.43/1.71 33 -product(A,B,C) | -product(B,C,D) | product(C,A,D) # label(qg3) # label(negated_conjecture). [assumption].
% 1.43/1.71 34 -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].
% 1.43/1.71 35 -product(e_1,e_1,e_3). [resolve(5,b,9,a)].
% 1.43/1.71 36 -product(e_1,e_1,e_4). [resolve(5,b,10,a)].
% 1.43/1.71 37 -product(e_2,e_1,e_4). [resolve(12,b,11,a)].
% 1.43/1.71 38 -product(A,B,e_1) | -product(A,B,e_2). [resolve(14,c,15,a)].
% 1.43/1.71 39 -product(A,B,e_1) | -product(A,B,e_3). [resolve(14,c,16,a)].
% 1.43/1.71 41 -product(A,B,e_2) | -product(A,B,e_3). [resolve(14,c,19,a)].
% 1.43/1.71 43 -product(A,B,e_3) | -product(A,B,e_4). [resolve(14,c,23,a)].
% 1.43/1.71 44 -product(A,e_1,B) | -product(A,e_2,B). [resolve(27,c,15,a)].
% 1.43/1.71 45 -product(A,e_1,B) | -product(A,e_3,B). [resolve(27,c,16,a)].
% 1.43/1.71 46 -product(A,e_1,B) | -product(A,e_4,B). [resolve(27,c,17,a)].
% 1.43/1.71 47 -product(A,e_2,B) | -product(A,e_3,B). [resolve(27,c,19,a)].
% 1.43/1.71 48 -product(A,e_2,B) | -product(A,e_4,B). [resolve(27,c,20,a)].
% 1.43/1.71 49 -product(A,e_3,B) | -product(A,e_4,B). [resolve(27,c,23,a)].
% 1.43/1.71 50 -product(e_1,A,B) | -product(e_2,A,B). [resolve(28,c,15,a)].
% 1.43/1.71 51 -product(e_1,A,B) | -product(e_3,A,B). [resolve(28,c,16,a)].
% 1.43/1.71 52 -product(e_1,A,B) | -product(e_4,A,B). [resolve(28,c,17,a)].
% 1.43/1.71 53 -product(e_2,A,B) | -product(e_3,A,B). [resolve(28,c,19,a)].
% 1.43/1.71 54 -product(e_2,A,B) | -product(e_4,A,B). [resolve(28,c,20,a)].
% 1.43/1.71 55 -product(e_3,A,B) | -product(e_4,A,B). [resolve(28,c,23,a)].
% 1.43/1.71 56 -group_element(A) | product(A,A,e_1) | product(A,A,e_2) | product(A,A,e_3) | product(A,A,e_4). [factor(34,a,b)].
% 1.43/1.71 57 -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(34,a,32,a)].
% 1.43/1.71 58 -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(34,a,31,a)].
% 1.43/1.71 59 -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(34,a,30,a)].
% 1.43/1.71 60 -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(34,a,29,a)].
% 1.43/1.71 65 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(56,a,32,a)].
% 1.43/1.71 66 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(56,a,31,a)].
% 1.43/1.71 68 product(e_1,e_1,e_1) | product(e_1,e_1,e_2). [resolve(56,a,29,a),unit_del(c,35),unit_del(d,36)].
% 1.43/1.71 71 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(57,a,29,a)].
% 1.43/1.71 73 product(e_1,e_1,e_1) | -product(e_1,e_2,A) | product(e_2,e_1,A). [resolve(68,b,33,a)].
% 1.43/1.71 74 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(65,d,55,b)].
% 1.43/1.71 76 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(65,d,52,b)].
% 1.43/1.71 81 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(58,a,32,a)].
% 1.43/1.71 83 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(58,a,29,a)].
% 1.43/1.71 87 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_1,e_4). [resolve(66,d,45,b)].
% 1.43/1.71 108 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3). [resolve(59,a,29,a),unit_del(d,37)].
% 1.43/1.71 113 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(71,d,33,a)].
% 1.43/1.71 114 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(60,a,32,a)].
% 1.43/1.71 115 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(60,a,31,a)].
% 1.43/1.71 116 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(60,a,30,a)].
% 1.43/1.71 120 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(81,d,74,d)].
% 1.43/1.71 127 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(81,d,33,a)].
% 1.43/1.71 134 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(83,d,33,a)].
% 1.43/1.71 136 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_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [resolve(87,d,83,d)].
% 1.43/1.71 158 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(114,d,76,d)].
% 1.43/1.71 162 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(114,d,33,a)].
% 1.43/1.71 166 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_2,e_4). [resolve(115,d,47,b)].
% 1.43/1.71 167 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(115,d,33,b)].
% 1.43/1.71 168 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(115,d,33,a)].
% 1.43/1.71 172 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(116,d,73,b),unit_del(e,37)].
% 1.43/1.71 192 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_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(166,d,116,d)].
% 1.43/1.71 193 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_1,e_1) | product(e_2,e_1,e_3). [resolve(172,c,73,b),merge(d)].
% 1.43/1.71 197 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_1,e_1) | -product(A,e_2,e_1) | product(e_1,A,e_3). [resolve(193,d,33,b)].
% 1.43/1.71 198 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_1,e_1) | -product(e_1,e_3,A) | product(e_3,e_2,A). [resolve(193,d,33,a)].
% 1.43/1.71 242 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(120,f,127,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 249 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(120,f,33,a)].
% 1.43/1.71 257 product(e_3,e_3,e_1) | product(e_3,e_3,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_1,e_3,e_3). [resolve(136,c,51,b)].
% 1.43/1.71 319 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(158,f,162,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 324 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(158,f,46,b)].
% 1.43/1.71 470 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3) | -product(e_3,e_3,A) | product(e_3,e_1,A). [resolve(192,c,33,a)].
% 1.43/1.71 541 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(242,e,127,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 545 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(242,e,49,b)].
% 1.43/1.71 570 product(e_3,e_3,e_1) | product(e_3,e_3,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_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(257,f,192,c)].
% 1.43/1.71 672 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(319,e,162,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 678 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(319,e,46,b)].
% 1.43/1.71 845 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(541,d,127,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 849 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(541,d,49,b)].
% 1.43/1.71 873 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(672,d,162,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 922 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(845,d,249,f),merge(f),merge(g),merge(h),merge(k)].
% 1.43/1.71 949 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(873,d,324,f),merge(f),merge(g),merge(h)].
% 1.43/1.71 957 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(A,e_4,e_1) | product(e_1,A,e_3). [resolve(873,d,33,b)].
% 1.43/1.71 1581 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(922,g,127,d),merge(g),merge(h),merge(i),merge(j)].
% 1.43/1.71 1582 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(1581,f,127,d),merge(f),merge(g),merge(h),merge(i)].
% 1.43/1.71 1583 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(1582,d,545,f),merge(e),merge(f),merge(g)].
% 1.43/1.71 1628 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(1583,e,127,d),merge(f),merge(g),merge(h),merge(i)].
% 1.43/1.71 1640 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(1628,e,41,b)].
% 1.43/1.71 1672 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(1640,e,1582,d),merge(e),merge(f),merge(g),merge(h)].
% 1.43/1.71 1673 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(1672,d,849,f),merge(d),merge(e),merge(f)].
% 1.43/1.71 1718 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(1673,d,39,b)].
% 1.43/1.71 1755 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(1718,e,1672,d),merge(e),merge(f),merge(g)].
% 1.43/1.71 1767 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(1755,d,38,b)].
% 1.43/1.71 1789 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3). [resolve(1767,d,1672,d),merge(d),merge(e),merge(f)].
% 1.43/1.71 1797 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(1789,c,168,d)].
% 1.43/1.71 1841 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(1797,f,167,d),merge(f),merge(g),merge(h)].
% 1.43/1.71 1893 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(1841,f,43,b)].
% 1.43/1.71 2051 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(1893,f,1789,c),merge(f),merge(g)].
% 1.43/1.71 2057 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(2051,b,168,d),merge(e),merge(f),merge(g)].
% 1.43/1.71 2060 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(2051,b,51,b)].
% 1.43/1.71 2069 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_1,e_2). [resolve(2057,e,52,b)].
% 1.43/1.71 2079 product(e_3,e_3,e_1) | 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_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(570,b,470,f),merge(j),merge(k),merge(l),merge(m),merge(n),merge(o)].
% 1.43/1.71 2080 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_1,e_1). [resolve(2069,e,68,b)].
% 1.43/1.71 2092 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_4,e_1,e_1). [resolve(2080,a,168,d),merge(e),merge(f),merge(g)].
% 1.43/1.71 2098 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_4,e_1,A) | product(e_1,e_3,A). [resolve(2080,a,33,a)].
% 1.43/1.71 2099 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_4,e_1,e_1). [factor(2098,a,f)].
% 1.43/1.71 2117 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). [resolve(2099,e,2092,e),merge(e),merge(f),merge(g),merge(h)].
% 1.43/1.71 2133 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_2,e_3). [resolve(2117,c,47,b)].
% 1.43/1.71 2143 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_2,e_1) | product(e_1,e_2,e_2). [resolve(2133,d,172,c),merge(f)].
% 1.43/1.71 2150 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_1,e_2). [resolve(2143,b,45,b)].
% 1.43/1.71 2167 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(2150,e,68,b),merge(e)].
% 1.43/1.71 2169 product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_3,e_2,e_1). [resolve(2167,a,198,d),merge(d),merge(e),merge(f)].
% 1.43/1.71 2176 product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_3,e_3). [resolve(2169,d,197,d),merge(d),merge(e),merge(f)].
% 1.43/1.71 2197 product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_2,e_3). [resolve(2176,d,47,b)].
% 1.43/1.71 2220 product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(2197,d,172,c),merge(d),merge(e),merge(f)].
% 1.43/1.71 2223 product(e_1,e_1,e_1) | product(e_1,e_2,e_1) | -product(e_1,e_1,e_2). [resolve(2220,c,44,b)].
% 1.43/1.71 2229 product(e_1,e_1,e_1) | product(e_1,e_2,e_1). [resolve(2223,c,68,b),merge(c)].
% 1.43/1.71 2240 product(e_1,e_1,e_1) | product(e_2,e_1,e_1). [resolve(2229,b,73,b),merge(b)].
% 1.43/1.71 2242 product(e_1,e_1,e_1) | -product(e_2,e_1,A) | product(e_1,e_1,A). [resolve(2229,b,33,a)].
% 1.43/1.71 2243 product(e_1,e_1,e_1) | -product(e_2,e_1,e_1). [factor(2242,a,c)].
% 1.43/1.71 2248 product(e_1,e_1,e_1). [resolve(2243,b,2240,b),merge(b)].
% 1.43/1.71 2250 -product(e_4,e_1,e_1). [ur(52,a,2248,a)].
% 1.43/1.71 2251 -product(e_3,e_1,e_1). [ur(51,a,2248,a)].
% 1.43/1.71 2252 -product(e_2,e_1,e_1). [ur(50,a,2248,a)].
% 1.43/1.71 2253 -product(e_1,e_4,e_1). [ur(46,a,2248,a)].
% 1.43/1.71 2254 -product(e_1,e_3,e_1). [ur(45,a,2248,a)].
% 1.43/1.71 2255 -product(e_1,e_2,e_1). [ur(44,a,2248,a)].
% 1.43/1.71 2391 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_4,e_1,e_2) | -product(A,e_4,e_1) | product(e_1,A,e_3). [back_unit_del(957),unit_del(a,2253),unit_del(e,2250)].
% 1.43/1.71 2399 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_4,e_1) | product(e_4,e_4,e_2). [back_unit_del(949),unit_del(a,2253),unit_del(e,2250)].
% 1.43/1.71 2470 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). [back_unit_del(113),unit_del(a,2250)].
% 1.43/1.71 2482 product(e_3,e_3,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_1,e_3,e_2) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [back_unit_del(2079),unit_del(b,2251),unit_del(e,2254),unit_del(g,2255)].
% 1.43/1.71 2578 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). [back_unit_del(134),unit_del(a,2251)].
% 1.43/1.71 2677 product(e_2,e_1,e_2) | product(e_2,e_1,e_3). [back_unit_del(108),unit_del(a,2252)].
% 1.43/1.71 2801 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). [back_unit_del(678),unit_del(a,2253)].
% 1.43/1.71 2836 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). [back_unit_del(162),unit_del(a,2253)].
% 1.43/1.71 2862 product(e_3,e_4,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | -product(e_1,e_4,e_2). [back_unit_del(2060),unit_del(b,2254)].
% 1.43/1.71 2942 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). [back_unit_del(168),unit_del(a,2254)].
% 1.43/1.71 3058 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_4,e_1). [factor(2391,b,e)].
% 1.43/1.71 3143 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_4,e_1). [resolve(2399,e,2836,c),merge(e),merge(f),merge(g)].
% 1.43/1.71 3144 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_4,e_1,e_2). [resolve(3143,d,3058,d),merge(d),merge(e),merge(f)].
% 1.43/1.71 3152 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(A,e_4,e_1) | product(e_1,A,e_2). [resolve(3144,c,33,b)].
% 1.43/1.71 3154 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_4,e_4,e_1). [factor(3152,a,d)].
% 1.43/1.71 3259 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). [resolve(2801,e,3144,c),merge(e),merge(f)].
% 1.43/1.71 3260 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_4,e_1,e_3). [resolve(3259,c,3154,c),merge(d),merge(e)].
% 1.43/1.71 3273 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_4,e_1,e_2). [resolve(3260,c,41,b)].
% 1.43/1.71 3277 product(e_1,e_4,e_2) | product(e_1,e_4,e_3). [resolve(3273,c,3144,c),merge(c),merge(d)].
% 1.43/1.71 3278 product(e_1,e_4,e_2) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_4,e_3,e_3). [resolve(3277,b,2578,c)].
% 1.43/1.71 3279 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_4,e_4,e_3). [resolve(3277,b,2470,c)].
% 1.43/1.71 3297 product(e_1,e_4,e_2) | -product(e_4,e_3,A) | product(e_3,e_1,A). [resolve(3277,b,33,a)].
% 1.43/1.71 3323 product(e_1,e_4,e_2) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [resolve(3278,d,3297,b),merge(d),merge(e)].
% 1.43/1.71 3327 product(e_1,e_4,e_2) | product(e_3,e_1,e_2) | -product(e_2,e_1,e_3). [resolve(3323,c,53,b)].
% 1.43/1.71 3330 product(e_1,e_4,e_2) | product(e_3,e_1,e_2) | product(e_2,e_1,e_2). [resolve(3327,c,2677,b)].
% 1.43/1.71 3354 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | -product(e_1,e_4,e_3). [resolve(3279,d,52,b)].
% 1.43/1.71 3381 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | product(e_4,e_1,e_3). [resolve(3354,d,3277,b),merge(d)].
% 1.43/1.71 3390 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | -product(e_3,e_1,e_3). [resolve(3381,c,55,b)].
% 1.43/1.71 3391 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | -product(e_2,e_1,e_3). [resolve(3381,c,54,b)].
% 1.43/1.71 3399 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | product(e_3,e_1,e_2). [resolve(3390,c,3323,c),merge(c)].
% 1.43/1.71 3400 product(e_1,e_4,e_2) | product(e_4,e_1,e_2) | product(e_2,e_1,e_2). [resolve(3391,c,2677,b)].
% 1.43/1.71 3407 product(e_1,e_4,e_2) | product(e_3,e_1,e_2) | -product(e_2,e_1,e_2). [resolve(3399,b,54,b)].
% 1.43/1.71 3415 product(e_1,e_4,e_2) | product(e_2,e_1,e_2) | -product(e_3,e_1,e_2). [resolve(3400,b,55,b)].
% 1.43/1.71 3432 product(e_1,e_4,e_2) | product(e_2,e_1,e_2). [resolve(3415,c,3330,b),merge(c),merge(d)].
% 1.43/1.71 3433 product(e_1,e_4,e_2) | product(e_3,e_1,e_2). [resolve(3432,b,3407,c),merge(b)].
% 1.43/1.71 3440 product(e_1,e_4,e_2) | -product(e_2,e_1,e_2). [resolve(3433,b,53,b)].
% 1.43/1.71 3458 product(e_1,e_4,e_2). [resolve(3440,b,3432,b),merge(b)].
% 1.43/1.71 3464 product(e_3,e_4,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [back_unit_del(2862),unit_del(d,3458)].
% 1.43/1.71 3487 product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_4,e_4,e_2). [resolve(3458,a,2470,c)].
% 1.43/1.71 3494 -product(e_1,e_3,e_2). [resolve(3458,a,49,b)].
% 1.43/1.71 3495 -product(e_1,e_2,e_2). [resolve(3458,a,48,b)].
% 1.43/1.71 3498 -product(e_4,e_4,e_2). [ur(52,a,3458,a)].
% 1.43/1.71 3505 product(e_3,e_4,e_1) | product(e_1,e_3,e_3). [back_unit_del(3464),unit_del(b,3494)].
% 1.43/1.71 3523 product(e_1,e_3,e_3) | -product(e_3,e_4,A) | product(e_4,e_1,A). [back_unit_del(2942),unit_del(a,3494)].
% 1.43/1.71 3645 product(e_3,e_3,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3) | product(e_1,e_2,e_3). [back_unit_del(2482),unit_del(d,3494),unit_del(e,3495)].
% 1.43/1.71 3736 product(e_4,e_1,e_2) | product(e_4,e_1,e_3). [back_unit_del(3487),unit_del(c,3498)].
% 1.43/1.71 4011 product(e_4,e_1,e_2) | -product(e_2,e_1,e_3). [resolve(3736,b,54,b)].
% 1.43/1.71 4026 product(e_4,e_1,e_2) | product(e_2,e_1,e_2). [resolve(4011,b,2677,b)].
% 1.43/1.71 4049 product(e_2,e_1,e_2) | -product(e_3,e_1,e_2). [resolve(4026,a,55,b)].
% 1.43/1.71 4083 product(e_1,e_3,e_3). [resolve(3523,b,3505,a),merge(c),unit_del(b,2250)].
% 1.43/1.71 4096 -product(e_1,e_2,e_3). [resolve(4083,a,47,b)].
% 1.43/1.71 4100 -product(e_3,e_3,e_3). [ur(51,a,4083,a)].
% 1.43/1.71 4103 -product(e_3,e_3,e_1). [ur(33,a,4083,a,c,2251,a)].
% 1.43/1.71 4168 product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [back_unit_del(3645),unit_del(a,4103),unit_del(d,4096)].
% 1.43/1.71 4245 -product(e_3,e_1,e_3). [ur(33,b,4083,a,c,4100,a)].
% 1.43/1.71 4246 product(e_3,e_1,e_2). [back_unit_del(4168),unit_del(b,4245)].
% 1.43/1.71 4247 product(e_2,e_1,e_2). [back_unit_del(4049),unit_del(b,4246)].
% 1.43/1.71 4272 $F. [resolve(4246,a,53,b),unit_del(a,4247)].
% 1.43/1.71
% 1.43/1.71 % SZS output end Refutation
% 1.43/1.71 ============================== end of proof ==========================
% 1.43/1.71
% 1.43/1.71 ============================== STATISTICS ============================
% 1.43/1.71
% 1.43/1.71 Given=1037. Generated=9289. Kept=4243. proofs=1.
% 1.43/1.71 Usable=79. Sos=100. Demods=0. Limbo=0, Disabled=4119. Hints=0.
% 1.43/1.71 Megabytes=4.28.
% 1.43/1.71 User_CPU=0.74, System_CPU=0.01, Wall_clock=1.
% 1.43/1.71
% 1.43/1.71 ============================== end of statistics =====================
% 1.43/1.71
% 1.43/1.71 ============================== end of search =========================
% 1.43/1.71
% 1.43/1.71 THEOREM PROVED
% 1.43/1.71 % SZS status Unsatisfiable
% 1.43/1.71
% 1.43/1.71 Exiting with 1 proof.
% 1.43/1.71
% 1.43/1.71 Process 17926 exit (max_proofs) Tue Jun 14 08:48:49 2022
% 1.43/1.71 Prover9 interrupted
%------------------------------------------------------------------------------