TSTP Solution File: GRP134-1.003 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 11:17:39 EDT 2022
% Result : Unsatisfiable 0.82s 1.10s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 06:38:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.48/1.02 ============================== Prover9 ===============================
% 0.48/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.48/1.02 Process 14146 was started by sandbox on n014.cluster.edu,
% 0.48/1.02 Mon Jun 13 06:38:53 2022
% 0.48/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13993_n014.cluster.edu".
% 0.48/1.02 ============================== end of head ===========================
% 0.48/1.02
% 0.48/1.02 ============================== INPUT =================================
% 0.48/1.02
% 0.48/1.02 % Reading from file /tmp/Prover9_13993_n014.cluster.edu
% 0.48/1.02
% 0.48/1.02 set(prolog_style_variables).
% 0.48/1.02 set(auto2).
% 0.48/1.02 % set(auto2) -> set(auto).
% 0.48/1.02 % set(auto) -> set(auto_inference).
% 0.48/1.02 % set(auto) -> set(auto_setup).
% 0.48/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.48/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/1.02 % set(auto) -> set(auto_limits).
% 0.48/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/1.02 % set(auto) -> set(auto_denials).
% 0.48/1.02 % set(auto) -> set(auto_process).
% 0.48/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.48/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.48/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.48/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.48/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.48/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.48/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.48/1.02 % set(auto2) -> assign(stats, some).
% 0.48/1.02 % set(auto2) -> clear(echo_input).
% 0.48/1.02 % set(auto2) -> set(quiet).
% 0.48/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.48/1.02 % set(auto2) -> clear(print_given).
% 0.48/1.02 assign(lrs_ticks,-1).
% 0.48/1.02 assign(sos_limit,10000).
% 0.48/1.02 assign(order,kbo).
% 0.48/1.02 set(lex_order_vars).
% 0.48/1.02 clear(print_given).
% 0.48/1.02
% 0.48/1.02 % formulas(sos). % not echoed (14 formulas)
% 0.48/1.02
% 0.48/1.02 ============================== end of input ==========================
% 0.48/1.02
% 0.48/1.02 % From the command line: assign(max_seconds, 300).
% 0.48/1.02
% 0.48/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/1.02
% 0.48/1.02 % Formulas that are not ordinary clauses:
% 0.48/1.02
% 0.48/1.02 ============================== end of process non-clausal formulas ===
% 0.48/1.02
% 0.48/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/1.02
% 0.48/1.02 ============================== PREDICATE ELIMINATION =================
% 0.48/1.02 1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.48/1.02 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.48/1.02 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.48/1.02 4 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.48/1.02 5 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.48/1.02 6 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 0.48/1.02 7 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 0.48/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(1,c,2,a)].
% 0.48/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(1,c,3,a)].
% 0.48/1.02 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(1,c,5,a)].
% 0.48/1.02 8 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.48/1.02 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(8,c,2,a)].
% 0.48/1.02 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(8,c,3,a)].
% 0.48/1.02 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(8,c,5,a)].
% 0.48/1.02 9 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.48/1.02 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(9,c,2,a)].
% 0.48/1.02 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(9,c,3,a)].
% 0.48/1.02 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(9,c,5,a)].
% 0.48/1.02
% 0.48/1.02 ============================== end predicate elimination =============
% 0.48/1.02
% 0.48/1.02 Auto_denials: (non-Horn, no changes).
% 0.48/1.02
% 0.48/1.02 Term ordering decisions:
% 0.48/1.02 Function symbol KB weights: e_1=1. e_2=1. e_3=1.
% 0.48/1.02
% 0.48/1.02 ============================== end of process initial clauses ========
% 0.48/1.02
% 0.48/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.10
% 0.82/1.10 ============================== end of clauses for search =============
% 0.82/1.10
% 0.82/1.10 ============================== SEARCH ================================
% 0.82/1.10
% 0.82/1.10 % Starting search at 0.01 seconds.
% 0.82/1.10
% 0.82/1.10 ============================== PROOF =================================
% 0.82/1.10 % SZS status Unsatisfiable
% 0.82/1.10 % SZS output start Refutation
% 0.82/1.10
% 0.82/1.10 % Proof 1 at 0.09 (+ 0.00) seconds.
% 0.82/1.10 % Length of proof is 98.
% 0.82/1.10 % Level of proof is 29.
% 0.82/1.10 % Maximum clause weight is 20.000.
% 0.82/1.10 % Given clauses 287.
% 0.82/1.10
% 0.82/1.10 1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.82/1.10 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.82/1.10 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.82/1.10 5 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.82/1.10 8 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.82/1.10 9 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.82/1.10 10 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 0.82/1.10 11 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 0.82/1.10 12 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 0.82/1.10 13 -product(A,B,C) | -product(B,A,D) | product(C,D,B) # label(qg4) # label(negated_conjecture). [assumption].
% 0.82/1.10 14 -group_element(A) | -group_element(B) | product(A,B,e_1) | product(A,B,e_2) | product(A,B,e_3) # label(product_total_function1) # label(axiom). [assumption].
% 0.82/1.10 15 -product(A,B,e_1) | -product(A,B,e_2). [resolve(1,c,2,a)].
% 0.82/1.10 16 -product(A,B,e_1) | -product(A,B,e_3). [resolve(1,c,3,a)].
% 0.82/1.10 17 -product(A,B,e_2) | -product(A,B,e_3). [resolve(1,c,5,a)].
% 0.82/1.10 18 -product(A,e_1,B) | -product(A,e_2,B). [resolve(8,c,2,a)].
% 0.82/1.10 19 -product(A,e_1,B) | -product(A,e_3,B). [resolve(8,c,3,a)].
% 0.82/1.10 20 -product(A,e_2,B) | -product(A,e_3,B). [resolve(8,c,5,a)].
% 0.82/1.10 21 -product(e_1,A,B) | -product(e_2,A,B). [resolve(9,c,2,a)].
% 0.82/1.10 22 -product(e_1,A,B) | -product(e_3,A,B). [resolve(9,c,3,a)].
% 0.82/1.10 23 -product(e_2,A,B) | -product(e_3,A,B). [resolve(9,c,5,a)].
% 0.82/1.10 24 -product(A,A,B) | product(B,B,A). [factor(13,a,b)].
% 0.82/1.10 25 -group_element(A) | product(A,A,e_1) | product(A,A,e_2) | product(A,A,e_3). [factor(14,a,b)].
% 0.82/1.10 26 -group_element(A) | product(e_3,A,e_1) | product(e_3,A,e_2) | product(e_3,A,e_3). [resolve(14,a,12,a)].
% 0.82/1.10 27 -group_element(A) | product(e_2,A,e_1) | product(e_2,A,e_2) | product(e_2,A,e_3). [resolve(14,a,11,a)].
% 0.82/1.10 28 -group_element(A) | product(e_1,A,e_1) | product(e_1,A,e_2) | product(e_1,A,e_3). [resolve(14,a,10,a)].
% 0.82/1.10 32 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_3,e_3,e_3). [resolve(25,a,12,a)].
% 0.82/1.10 33 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3). [resolve(25,a,11,a)].
% 0.82/1.10 34 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(25,a,10,a)].
% 0.82/1.10 35 product(e_3,e_2,e_1) | product(e_3,e_2,e_2) | product(e_3,e_2,e_3). [resolve(26,a,11,a)].
% 0.82/1.10 36 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [resolve(26,a,10,a)].
% 0.82/1.10 38 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | -product(e_1,e_3,e_3). [resolve(32,c,22,b)].
% 0.82/1.10 40 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | -product(e_3,e_1,e_3). [resolve(32,c,19,b)].
% 0.82/1.10 43 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_3,e_3,e_2). [resolve(33,c,24,a)].
% 0.82/1.10 51 product(e_3,e_2,e_1) | product(e_3,e_2,e_2) | -product(e_2,e_2,e_3). [resolve(35,c,23,b)].
% 0.82/1.10 57 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3). [resolve(27,a,12,a)].
% 0.82/1.10 58 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3). [resolve(27,a,10,a)].
% 0.82/1.10 65 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(28,a,12,a)].
% 0.82/1.10 66 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_2,e_3). [resolve(28,a,11,a)].
% 0.82/1.10 67 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). [resolve(40,c,36,c)].
% 0.82/1.10 68 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_2,e_3,e_2). [resolve(43,c,23,b)].
% 0.82/1.10 70 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_3,e_2,e_2). [resolve(43,c,20,b)].
% 0.82/1.10 81 product(e_3,e_2,e_1) | product(e_3,e_2,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(51,c,33,c)].
% 0.82/1.10 85 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_2,e_2,e_3). [resolve(57,c,20,b)].
% 0.82/1.10 91 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_1,e_1,e_3). [resolve(58,c,21,b)].
% 0.82/1.10 93 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_1,e_2,A) | product(e_3,A,e_1). [resolve(58,c,13,a)].
% 0.82/1.10 96 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_3,e_1) | product(e_3,e_3,e_2). [resolve(65,c,38,c)].
% 0.82/1.10 104 product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | -product(e_1,e_1,e_3). [resolve(66,c,18,b)].
% 0.82/1.10 109 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_2). [resolve(85,c,33,c)].
% 0.82/1.10 111 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). [resolve(91,c,34,c)].
% 0.82/1.10 114 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_1,e_2). [resolve(104,c,34,c)].
% 0.82/1.10 124 product(e_3,e_3,e_1) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_2,e_2,e_3). [resolve(67,b,24,a)].
% 0.82/1.10 130 product(e_3,e_2,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(81,b,70,c),merge(d),merge(e)].
% 0.82/1.10 138 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_2,e_3,A) | product(A,e_1,e_3). [resolve(130,a,13,b)].
% 0.82/1.10 139 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_2,e_3,A) | product(e_1,A,e_2). [resolve(130,a,13,a)].
% 0.82/1.10 149 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_3,e_3,e_1) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2). [resolve(93,c,66,c)].
% 0.82/1.10 157 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_3,e_1) | product(e_2,e_2,e_3). [resolve(96,d,24,a)].
% 0.82/1.10 183 product(e_2,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(109,b,68,c),merge(d),merge(e)].
% 0.82/1.10 194 product(e_2,e_1,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_1,e_2,A) | product(e_2,A,e_1). [resolve(111,b,13,a)].
% 0.82/1.10 195 product(e_2,e_1,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_1,e_2,e_1). [factor(194,a,e)].
% 0.82/1.10 223 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_2,e_2,e_3) | product(e_1,e_1,e_3). [resolve(124,a,24,a)].
% 0.82/1.10 249 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_1,e_1,e_3). [resolve(138,c,183,a),merge(d),merge(e)].
% 0.82/1.10 251 product(e_2,e_2,e_1) | product(e_1,e_1,e_3) | -product(e_1,e_2,e_2). [resolve(249,b,21,b)].
% 0.82/1.10 252 product(e_2,e_2,e_1) | product(e_1,e_1,e_3) | -product(e_2,e_1,e_2). [resolve(249,b,18,b)].
% 0.82/1.10 263 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_1,e_1,e_2). [resolve(139,c,183,a),merge(d),merge(e)].
% 0.82/1.10 265 product(e_2,e_2,e_1) | product(e_1,e_1,e_2) | -product(e_1,e_2,e_2). [resolve(263,b,21,b)].
% 0.82/1.10 269 product(e_2,e_2,e_1) | product(e_1,e_1,e_2) | product(e_1,e_2,e_1) | product(e_1,e_1,e_1). [resolve(265,c,114,b),merge(e)].
% 0.82/1.10 279 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_2,e_3) | product(e_1,e_1,e_3). [resolve(157,c,24,a)].
% 0.82/1.10 315 product(e_3,e_1,e_1) | product(e_2,e_2,e_3) | product(e_1,e_1,e_3) | -product(e_1,e_1,e_2). [resolve(223,b,22,b)].
% 0.82/1.10 324 product(e_1,e_1,e_2) | product(e_1,e_2,e_1) | product(e_1,e_1,e_1). [resolve(269,a,24,a),merge(d)].
% 0.82/1.10 325 product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | product(e_2,e_1,e_1). [resolve(324,b,195,d),merge(d),merge(e)].
% 0.82/1.10 326 product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | -product(e_2,e_1,A) | product(A,e_1,e_1). [resolve(324,b,13,b)].
% 0.82/1.10 328 product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | -product(e_2,e_1,e_1). [factor(326,b,d)].
% 0.82/1.10 332 product(e_1,e_1,e_2) | product(e_1,e_1,e_1). [resolve(328,c,325,c),merge(c),merge(d)].
% 0.82/1.10 335 product(e_1,e_1,e_1) | product(e_2,e_2,e_1). [resolve(332,a,24,a)].
% 0.82/1.10 341 product(e_1,e_1,e_1) | -product(e_2,e_2,A) | product(e_1,A,e_2). [resolve(335,b,13,a)].
% 0.82/1.10 350 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_1,e_2,e_1) | product(e_1,e_2,e_2) | product(e_1,e_1,e_3). [resolve(149,c,24,a)].
% 0.82/1.10 363 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_1,e_3) | product(e_1,e_1,e_1). [resolve(279,c,341,b),merge(e)].
% 0.82/1.10 400 product(e_3,e_1,e_1) | product(e_2,e_2,e_3) | product(e_1,e_1,e_3) | product(e_1,e_1,e_1). [resolve(315,d,332,a)].
% 0.82/1.10 434 product(e_1,e_3,e_1) | product(e_1,e_1,e_3) | product(e_1,e_1,e_1) | -product(e_1,e_1,e_2). [resolve(363,b,19,b)].
% 0.82/1.10 486 product(e_1,e_3,e_1) | product(e_1,e_1,e_3) | product(e_1,e_1,e_1). [resolve(434,d,332,a),merge(d)].
% 0.82/1.10 488 product(e_1,e_1,e_3) | product(e_1,e_1,e_1) | -product(e_3,e_1,A) | product(A,e_1,e_1). [resolve(486,a,13,b)].
% 0.82/1.10 490 product(e_1,e_1,e_3) | product(e_1,e_1,e_1) | -product(e_3,e_1,e_1). [factor(488,b,d)].
% 0.82/1.10 491 product(e_1,e_1,e_3) | product(e_1,e_1,e_1) | product(e_2,e_2,e_3). [resolve(490,c,400,a),merge(d),merge(e)].
% 0.82/1.10 501 product(e_1,e_1,e_3) | product(e_1,e_1,e_1) | -product(e_2,e_2,e_1). [resolve(491,c,16,b)].
% 0.82/1.10 521 product(e_1,e_1,e_3) | product(e_1,e_1,e_1). [resolve(501,c,335,b),merge(c)].
% 0.82/1.10 532 product(e_1,e_1,e_1) | -product(e_1,e_1,e_2). [resolve(521,a,17,b)].
% 0.82/1.10 548 product(e_1,e_1,e_1). [resolve(532,b,332,a),merge(b)].
% 0.82/1.10 552 -product(e_2,e_1,e_1). [ur(21,a,548,a)].
% 0.82/1.10 554 -product(e_1,e_2,e_1). [ur(18,a,548,a)].
% 0.82/1.10 555 -product(e_1,e_1,e_3). [ur(16,a,548,a)].
% 0.82/1.10 556 -product(e_1,e_1,e_2). [ur(15,a,548,a)].
% 0.82/1.10 623 product(e_2,e_1,e_2) | product(e_1,e_2,e_2). [back_unit_del(350),unit_del(a,552),unit_del(c,554),unit_del(e,555)].
% 0.82/1.10 704 product(e_2,e_2,e_1) | -product(e_2,e_1,e_2). [back_unit_del(252),unit_del(b,555)].
% 0.82/1.10 705 product(e_2,e_2,e_1) | -product(e_1,e_2,e_2). [back_unit_del(251),unit_del(b,555)].
% 0.82/1.10 735 -product(e_2,e_2,e_1). [ur(24,b,556,a)].
% 0.82/1.10 737 -product(e_1,e_2,e_2). [back_unit_del(705),unit_del(a,735)].
% 0.82/1.10 738 -product(e_2,e_1,e_2). [back_unit_del(704),unit_del(a,735)].
% 0.82/1.10 760 $F. [back_unit_del(623),unit_del(a,738),unit_del(b,737)].
% 0.82/1.10
% 0.82/1.10 % SZS output end Refutation
% 0.82/1.10 ============================== end of proof ==========================
% 0.82/1.10
% 0.82/1.10 ============================== STATISTICS ============================
% 0.82/1.10
% 0.82/1.10 Given=287. Generated=1848. Kept=750. proofs=1.
% 0.82/1.10 Usable=47. Sos=82. Demods=0. Limbo=23, Disabled=621. Hints=0.
% 0.82/1.10 Megabytes=0.51.
% 0.82/1.10 User_CPU=0.09, System_CPU=0.00, Wall_clock=0.
% 0.82/1.10
% 0.82/1.10 ============================== end of statistics =====================
% 0.82/1.10
% 0.82/1.10 ============================== end of search =========================
% 0.82/1.10
% 0.82/1.10 THEOREM PROVED
% 0.82/1.10 % SZS status Unsatisfiable
% 0.82/1.10
% 0.82/1.10 Exiting with 1 proof.
% 0.82/1.10
% 0.82/1.10 Process 14146 exit (max_proofs) Mon Jun 13 06:38:53 2022
% 0.82/1.10 Prover9 interrupted
%------------------------------------------------------------------------------