TSTP Solution File: GRP129-1.003 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 11:17:32 EDT 2022
% Result : Unsatisfiable 0.80s 1.12s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 07:28:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/1.06 ============================== Prover9 ===============================
% 0.40/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.40/1.06 Process 9133 was started by sandbox2 on n006.cluster.edu,
% 0.40/1.06 Tue Jun 14 07:28:42 2022
% 0.40/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8980_n006.cluster.edu".
% 0.40/1.06 ============================== end of head ===========================
% 0.40/1.06
% 0.40/1.06 ============================== INPUT =================================
% 0.40/1.06
% 0.40/1.06 % Reading from file /tmp/Prover9_8980_n006.cluster.edu
% 0.40/1.06
% 0.40/1.06 set(prolog_style_variables).
% 0.40/1.06 set(auto2).
% 0.40/1.06 % set(auto2) -> set(auto).
% 0.40/1.06 % set(auto) -> set(auto_inference).
% 0.40/1.06 % set(auto) -> set(auto_setup).
% 0.40/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.40/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.40/1.06 % set(auto) -> set(auto_limits).
% 0.40/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.40/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.40/1.06 % set(auto) -> set(auto_denials).
% 0.40/1.06 % set(auto) -> set(auto_process).
% 0.40/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.40/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.40/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.40/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.40/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.40/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.40/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.40/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.40/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.40/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.40/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.40/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.40/1.06 % set(auto2) -> assign(stats, some).
% 0.40/1.06 % set(auto2) -> clear(echo_input).
% 0.40/1.06 % set(auto2) -> set(quiet).
% 0.40/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.40/1.06 % set(auto2) -> clear(print_given).
% 0.40/1.06 assign(lrs_ticks,-1).
% 0.40/1.06 assign(sos_limit,10000).
% 0.40/1.06 assign(order,kbo).
% 0.40/1.06 set(lex_order_vars).
% 0.40/1.06 clear(print_given).
% 0.40/1.06
% 0.40/1.06 % formulas(sos). % not echoed (14 formulas)
% 0.40/1.06
% 0.40/1.06 ============================== end of input ==========================
% 0.40/1.06
% 0.40/1.06 % From the command line: assign(max_seconds, 300).
% 0.40/1.06
% 0.40/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.40/1.06
% 0.40/1.06 % Formulas that are not ordinary clauses:
% 0.40/1.06
% 0.40/1.06 ============================== end of process non-clausal formulas ===
% 0.40/1.06
% 0.40/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.40/1.06
% 0.40/1.06 ============================== PREDICATE ELIMINATION =================
% 0.40/1.06 1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.40/1.06 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.40/1.06 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.40/1.06 4 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.40/1.06 5 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.40/1.06 6 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 0.40/1.06 7 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 0.40/1.06 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(1,c,2,a)].
% 0.40/1.06 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(1,c,3,a)].
% 0.40/1.06 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(1,c,5,a)].
% 0.40/1.06 8 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.40/1.06 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(8,c,2,a)].
% 0.40/1.06 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(8,c,3,a)].
% 0.40/1.06 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(8,c,5,a)].
% 0.40/1.06 9 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.40/1.06 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(9,c,2,a)].
% 0.40/1.06 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(9,c,3,a)].
% 0.40/1.06 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(9,c,5,a)].
% 0.40/1.06
% 0.40/1.06 ============================== end predicate elimination =============
% 0.40/1.06
% 0.40/1.06 Auto_denials: (non-Horn, no changes).
% 0.40/1.06
% 0.40/1.06 Term ordering decisions:
% 0.40/1.06 Function symbol KB weights: e_1=1. e_2=1. e_3=1.
% 0.40/1.06
% 0.40/1.06 ============================== end of process initial clauses ========
% 0.40/1.06
% 0.40/1.06 ============================== CLAUSES FOR SEARCH ====================
% 0.80/1.12
% 0.80/1.12 ============================== end of clauses for search =============
% 0.80/1.12
% 0.80/1.12 ============================== SEARCH ================================
% 0.80/1.12
% 0.80/1.12 % Starting search at 0.01 seconds.
% 0.80/1.12
% 0.80/1.12 ============================== PROOF =================================
% 0.80/1.12 % SZS status Unsatisfiable
% 0.80/1.12 % SZS output start Refutation
% 0.80/1.12
% 0.80/1.12 % Proof 1 at 0.07 (+ 0.00) seconds.
% 0.80/1.12 % Length of proof is 121.
% 0.80/1.12 % Level of proof is 32.
% 0.80/1.12 % Maximum clause weight is 20.000.
% 0.80/1.12 % Given clauses 299.
% 0.80/1.12
% 0.80/1.12 1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.80/1.12 2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.80/1.12 3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.80/1.12 5 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.80/1.12 8 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 0.80/1.12 9 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 0.80/1.12 10 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 0.80/1.12 11 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 0.80/1.12 12 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 0.80/1.12 13 -product(A,B,C) | -product(B,C,D) | product(C,A,D) # label(qg3) # label(negated_conjecture). [assumption].
% 0.80/1.12 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].
% 0.80/1.12 15 -product(A,B,e_1) | -product(A,B,e_2). [resolve(1,c,2,a)].
% 0.80/1.12 18 -product(A,e_1,B) | -product(A,e_2,B). [resolve(8,c,2,a)].
% 0.80/1.12 19 -product(A,e_1,B) | -product(A,e_3,B). [resolve(8,c,3,a)].
% 0.80/1.12 20 -product(A,e_2,B) | -product(A,e_3,B). [resolve(8,c,5,a)].
% 0.80/1.12 21 -product(e_1,A,B) | -product(e_2,A,B). [resolve(9,c,2,a)].
% 0.80/1.12 22 -product(e_1,A,B) | -product(e_3,A,B). [resolve(9,c,3,a)].
% 0.80/1.12 23 -product(e_2,A,B) | -product(e_3,A,B). [resolve(9,c,5,a)].
% 0.80/1.12 24 -group_element(A) | product(A,A,e_1) | product(A,A,e_2) | product(A,A,e_3). [factor(14,a,b)].
% 0.80/1.12 25 -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)].
% 0.80/1.12 26 -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)].
% 0.80/1.12 27 -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)].
% 0.80/1.12 31 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | product(e_3,e_3,e_3). [resolve(24,a,12,a)].
% 0.80/1.12 32 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_2,e_3). [resolve(24,a,11,a)].
% 0.80/1.12 33 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3). [resolve(24,a,10,a)].
% 0.80/1.12 35 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3). [resolve(25,a,10,a)].
% 0.80/1.12 36 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | -product(e_2,e_3,e_3). [resolve(31,c,23,b)].
% 0.80/1.12 37 product(e_3,e_3,e_1) | product(e_3,e_3,e_2) | -product(e_1,e_3,e_3). [resolve(31,c,22,b)].
% 0.80/1.12 44 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(32,c,13,a)].
% 0.80/1.12 46 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(33,c,13,a)].
% 0.80/1.12 52 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_2,e_3,e_3). [resolve(26,a,12,a)].
% 0.80/1.12 53 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3). [resolve(26,a,10,a)].
% 0.80/1.12 54 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | -product(e_2,e_1,e_3). [resolve(35,c,23,b)].
% 0.80/1.12 55 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | -product(e_1,e_1,e_3). [resolve(35,c,22,b)].
% 0.80/1.12 59 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3). [resolve(27,a,12,a)].
% 0.80/1.12 64 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_3,e_1) | product(e_3,e_3,e_2). [resolve(52,c,36,c)].
% 0.80/1.12 65 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_1,e_3,e_3). [resolve(52,c,21,b)].
% 0.80/1.12 66 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_2,e_2,e_3). [resolve(52,c,20,b)].
% 0.80/1.12 69 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_3,e_3,A) | product(e_3,e_2,A). [resolve(52,c,13,a)].
% 0.80/1.12 71 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_1,e_1,e_3). [resolve(53,c,21,b)].
% 0.80/1.12 73 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_1,e_3,A) | product(e_3,e_2,A). [resolve(53,c,13,a)].
% 0.80/1.12 74 product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(54,c,53,c)].
% 0.80/1.12 75 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). [resolve(55,c,33,c)].
% 0.80/1.12 76 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(59,c,37,c)].
% 0.80/1.12 78 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | -product(e_1,e_1,e_3). [resolve(59,c,19,b)].
% 0.80/1.12 80 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | -product(e_3,e_3,A) | product(e_3,e_1,A). [resolve(59,c,13,a)].
% 0.80/1.12 86 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). [resolve(65,c,59,c)].
% 0.80/1.12 87 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(66,c,32,c)].
% 0.80/1.12 89 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(71,c,33,c)].
% 0.80/1.12 91 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). [resolve(78,c,33,c)].
% 0.80/1.12 122 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_3,e_1) | -product(e_3,e_2,A) | product(e_2,e_3,A). [resolve(64,d,13,a)].
% 0.80/1.12 125 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_2) | product(e_3,e_3,e_1). [resolve(69,c,64,d),merge(d),merge(e)].
% 0.80/1.12 129 product(e_3,e_1,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | -product(e_1,e_1,e_2). [resolve(74,b,22,b)].
% 0.80/1.12 133 product(e_3,e_1,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(A,e_3,e_1) | product(e_1,A,e_2). [resolve(75,b,13,b)].
% 0.80/1.12 135 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_3,e_2). [resolve(76,d,23,b)].
% 0.80/1.12 137 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_1,e_2). [resolve(76,d,19,b)].
% 0.80/1.12 140 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_1,e_2) | product(e_3,e_3,e_1). [resolve(80,c,76,d),merge(d),merge(e)].
% 0.80/1.12 155 product(e_2,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_3,e_2,e_2). [resolve(87,b,44,c),merge(d),merge(e)].
% 0.80/1.12 159 product(e_2,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_3,e_2,A) | product(e_2,e_2,A). [resolve(87,b,13,a)].
% 0.80/1.12 161 product(e_2,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_3,e_2,e_2). [factor(159,c,e)].
% 0.80/1.12 178 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_3,e_1,e_2). [resolve(91,b,46,c),merge(d),merge(e)].
% 0.80/1.12 221 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_2) | product(e_3,e_2,e_1). [resolve(125,d,69,c),merge(d),merge(e)].
% 0.80/1.12 224 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_2) | -product(e_3,e_2,e_1). [resolve(125,d,20,b)].
% 0.80/1.12 231 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_3,e_1). [resolve(135,d,86,b),merge(e),merge(f)].
% 0.80/1.12 236 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_1,e_2) | -product(e_2,e_3,e_1). [resolve(140,d,23,b)].
% 0.80/1.12 253 product(e_2,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(161,d,155,d),merge(d),merge(e),merge(f)].
% 0.80/1.12 255 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_3,e_2,e_1). [resolve(253,a,44,c),merge(c),merge(d)].
% 0.80/1.12 256 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(e_1,e_3,e_1). [resolve(253,a,21,b)].
% 0.80/1.12 262 product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | -product(A,e_3,e_2) | product(e_2,A,e_1). [resolve(255,c,13,b)].
% 0.80/1.12 268 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_2,e_1,e_2). [resolve(178,d,23,b)].
% 0.80/1.12 285 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_1) | product(e_3,e_3,e_1). [resolve(221,c,122,d),merge(d),merge(e),merge(g)].
% 0.80/1.12 306 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_3,e_1) | product(e_3,e_1,e_1). [resolve(231,c,80,c),merge(d),merge(e)].
% 0.80/1.12 308 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_3,e_1) | -product(e_3,e_1,e_1). [resolve(231,c,19,b)].
% 0.80/1.12 339 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_2,e_1,e_1). [resolve(268,d,89,b),merge(e),merge(f)].
% 0.80/1.12 355 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_1). [resolve(285,d,69,c),merge(d),merge(e),merge(f)].
% 0.80/1.12 356 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_2). [resolve(355,c,224,d),merge(c),merge(d)].
% 0.80/1.12 367 product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | -product(e_3,e_2,e_1). [resolve(356,c,15,b)].
% 0.80/1.12 383 product(e_2,e_3,e_1) | product(e_2,e_3,e_2). [resolve(367,c,355,c),merge(c),merge(d)].
% 0.80/1.12 391 product(e_2,e_3,e_1) | -product(e_1,e_3,e_2). [resolve(383,b,21,b)].
% 0.80/1.12 392 product(e_2,e_3,e_1) | -product(e_2,e_2,e_2). [resolve(383,b,20,b)].
% 0.80/1.12 422 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_2,e_3,e_1). [resolve(308,d,306,d),merge(d),merge(e),merge(f)].
% 0.80/1.12 423 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_1,e_2). [resolve(422,c,236,d),merge(c),merge(d)].
% 0.80/1.12 432 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_3,e_3,e_1). [resolve(423,c,137,d),merge(c),merge(d)].
% 0.80/1.12 436 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | -product(A,e_3,e_1) | product(e_1,A,e_2). [resolve(423,c,13,b)].
% 0.80/1.12 438 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | -product(e_3,e_3,e_1). [factor(436,b,d)].
% 0.80/1.12 446 product(e_1,e_3,e_1) | product(e_1,e_3,e_2). [resolve(438,c,432,c),merge(c),merge(d)].
% 0.80/1.12 453 product(e_1,e_3,e_1) | product(e_2,e_3,e_1). [resolve(446,b,391,b)].
% 0.80/1.12 454 product(e_1,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2) | product(e_2,e_1,e_1). [resolve(446,b,262,c)].
% 0.80/1.12 458 product(e_1,e_3,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_3,e_2,e_2). [resolve(446,b,73,c)].
% 0.80/1.12 462 product(e_1,e_3,e_1) | -product(e_1,e_1,e_2). [resolve(446,b,19,b)].
% 0.80/1.12 464 product(e_1,e_3,e_1) | -product(e_3,e_2,A) | product(e_2,e_1,A). [resolve(446,b,13,a)].
% 0.80/1.12 471 product(e_1,e_3,e_1) | -product(e_2,e_2,e_1). [resolve(453,b,20,b)].
% 0.80/1.12 472 product(e_1,e_3,e_1) | -product(e_2,e_1,e_1). [resolve(453,b,19,b)].
% 0.80/1.12 481 product(e_1,e_3,e_1) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2). [resolve(339,d,472,b),merge(d)].
% 0.80/1.12 485 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_3,e_1,e_1). [resolve(481,a,133,d),merge(d),merge(e),merge(f)].
% 0.80/1.12 488 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(481,a,13,a)].
% 0.80/1.12 489 product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | -product(e_3,e_1,e_1). [factor(488,a,d)].
% 0.80/1.12 499 product(e_1,e_1,e_1) | product(e_1,e_1,e_2). [resolve(489,c,485,c),merge(c),merge(d)].
% 0.80/1.12 500 product(e_1,e_1,e_1) | product(e_1,e_3,e_1). [resolve(499,b,462,b)].
% 0.80/1.12 501 product(e_1,e_1,e_1) | product(e_3,e_1,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(499,b,129,d)].
% 0.80/1.12 513 product(e_1,e_1,e_1) | product(e_2,e_2,e_1) | product(e_2,e_2,e_2). [resolve(500,b,256,c)].
% 0.80/1.12 520 product(e_1,e_1,e_1) | -product(e_3,e_1,A) | product(e_1,e_1,A). [resolve(500,b,13,a)].
% 0.80/1.12 521 product(e_1,e_1,e_1) | -product(e_3,e_1,e_1). [factor(520,a,c)].
% 0.80/1.12 528 product(e_1,e_1,e_1) | product(e_2,e_2,e_1) | product(e_2,e_3,e_1). [resolve(513,c,392,b)].
% 0.80/1.12 541 product(e_1,e_1,e_1) | product(e_2,e_2,e_1) | -product(e_1,e_3,e_1). [resolve(528,c,21,b)].
% 0.80/1.12 545 product(e_1,e_1,e_1) | product(e_2,e_2,e_1). [resolve(541,c,500,b),merge(c)].
% 0.80/1.12 548 product(e_1,e_1,e_1) | -product(e_2,e_1,e_1). [resolve(545,b,18,b)].
% 0.80/1.12 549 product(e_1,e_1,e_1) | -product(A,e_2,e_2) | product(e_2,A,e_1). [resolve(545,b,13,b)].
% 0.80/1.12 550 product(e_1,e_1,e_1) | -product(e_2,e_1,A) | product(e_1,e_2,A). [resolve(545,b,13,a)].
% 0.80/1.12 592 product(e_1,e_3,e_1) | product(e_2,e_2,e_1) | product(e_2,e_1,e_1) | -product(e_2,e_1,e_2). [resolve(454,c,18,b)].
% 0.80/1.12 605 product(e_1,e_3,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(458,d,464,b),merge(d),merge(e)].
% 0.80/1.12 652 product(e_1,e_1,e_1) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2). [resolve(501,b,521,b),merge(d)].
% 0.80/1.12 653 product(e_1,e_1,e_1) | product(e_2,e_1,e_1) | product(e_1,e_2,e_2). [resolve(652,c,550,b),merge(c)].
% 0.80/1.12 659 product(e_1,e_1,e_1) | product(e_1,e_2,e_2). [resolve(653,b,548,b),merge(c)].
% 0.80/1.12 665 product(e_1,e_1,e_1) | product(e_2,e_1,e_1). [resolve(659,b,549,b),merge(b)].
% 0.80/1.12 671 product(e_1,e_1,e_1). [resolve(665,b,548,b),merge(b)].
% 0.80/1.12 676 -product(e_2,e_1,e_1). [ur(21,a,671,a)].
% 0.80/1.12 677 -product(e_1,e_3,e_1). [ur(19,a,671,a)].
% 0.80/1.12 704 product(e_2,e_1,e_2). [back_unit_del(605),unit_del(a,677),unit_del(b,676)].
% 0.80/1.12 706 product(e_2,e_2,e_1). [back_unit_del(592),unit_del(a,677),unit_del(c,676),unit_del(d,704)].
% 0.80/1.12 719 $F. [back_unit_del(471),unit_del(a,677),unit_del(b,706)].
% 0.80/1.12
% 0.80/1.12 % SZS output end Refutation
% 0.80/1.12 ============================== end of proof ==========================
% 0.80/1.12
% 0.80/1.12 ============================== STATISTICS ============================
% 0.80/1.12
% 0.80/1.12 Given=299. Generated=1613. Kept=709. proofs=1.
% 0.80/1.12 Usable=76. Sos=19. Demods=0. Limbo=42, Disabled=595. Hints=0.
% 0.80/1.12 Megabytes=0.51.
% 0.80/1.12 User_CPU=0.07, System_CPU=0.00, Wall_clock=0.
% 0.80/1.12
% 0.80/1.12 ============================== end of statistics =====================
% 0.80/1.12
% 0.80/1.12 ============================== end of search =========================
% 0.80/1.12
% 0.80/1.12 THEOREM PROVED
% 0.80/1.12 % SZS status Unsatisfiable
% 0.80/1.12
% 0.80/1.12 Exiting with 1 proof.
% 0.80/1.12
% 0.80/1.12 Process 9133 exit (max_proofs) Tue Jun 14 07:28:42 2022
% 0.80/1.12 Prover9 interrupted
%------------------------------------------------------------------------------