TSTP Solution File: GRP127-2.006 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 11:17:28 EDT 2022
% Result : Unsatisfiable 1.05s 1.36s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n025.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 23:05:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.74/1.02 ============================== Prover9 ===============================
% 0.74/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.02 Process 4189 was started by sandbox on n025.cluster.edu,
% 0.74/1.02 Mon Jun 13 23:05:40 2022
% 0.74/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4036_n025.cluster.edu".
% 0.74/1.02 ============================== end of head ===========================
% 0.74/1.02
% 0.74/1.02 ============================== INPUT =================================
% 0.74/1.02
% 0.74/1.02 % Reading from file /tmp/Prover9_4036_n025.cluster.edu
% 0.74/1.02
% 0.74/1.02 set(prolog_style_variables).
% 0.74/1.02 set(auto2).
% 0.74/1.02 % set(auto2) -> set(auto).
% 0.74/1.02 % set(auto) -> set(auto_inference).
% 0.74/1.02 % set(auto) -> set(auto_setup).
% 0.74/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.74/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.02 % set(auto) -> set(auto_limits).
% 0.74/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.02 % set(auto) -> set(auto_denials).
% 0.74/1.02 % set(auto) -> set(auto_process).
% 0.74/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.74/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.74/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.74/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.74/1.02 % set(auto2) -> assign(stats, some).
% 0.74/1.02 % set(auto2) -> clear(echo_input).
% 0.74/1.02 % set(auto2) -> set(quiet).
% 0.74/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.02 % set(auto2) -> clear(print_given).
% 0.74/1.02 assign(lrs_ticks,-1).
% 0.74/1.02 assign(sos_limit,10000).
% 0.74/1.02 assign(order,kbo).
% 0.74/1.02 set(lex_order_vars).
% 0.74/1.02 clear(print_given).
% 0.74/1.02
% 0.74/1.02 % formulas(sos). % not echoed (63 formulas)
% 0.74/1.02
% 0.74/1.02 ============================== end of input ==========================
% 0.74/1.02
% 0.74/1.02 % From the command line: assign(max_seconds, 300).
% 0.74/1.02
% 0.74/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.02
% 0.74/1.02 % Formulas that are not ordinary clauses:
% 0.74/1.02
% 0.74/1.02 ============================== end of process non-clausal formulas ===
% 0.74/1.02
% 0.74/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.02
% 0.74/1.02 ============================== PREDICATE ELIMINATION =================
% 0.74/1.02 1 -product(A,e_1,B) | -next(A,C) | -greater(B,C) # label(no_redundancy) # label(axiom). [assumption].
% 0.74/1.02 2 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 0.74/1.02 3 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 0.74/1.02 4 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom). [assumption].
% 0.74/1.02 5 next(e_4,e_5) # label(e_4_then_e_5) # label(axiom). [assumption].
% 0.74/1.02 6 next(e_5,e_6) # label(e_5_then_e_6) # label(axiom). [assumption].
% 0.74/1.02 Derived: -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 0.74/1.02 Derived: -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 0.74/1.02 Derived: -product(e_3,e_1,A) | -greater(A,e_4). [resolve(1,b,4,a)].
% 0.74/1.02 Derived: -product(e_4,e_1,A) | -greater(A,e_5). [resolve(1,b,5,a)].
% 0.74/1.02 Derived: -product(e_5,e_1,A) | -greater(A,e_6). [resolve(1,b,6,a)].
% 0.74/1.02 7 -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 0.74/1.02 8 greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom). [assumption].
% 0.74/1.02 9 greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom). [assumption].
% 0.74/1.02 10 greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom). [assumption].
% 0.74/1.02 11 greater(e_5,e_1) # label(e_5_greater_e_1) # label(axiom). [assumption].
% 0.74/1.02 12 greater(e_6,e_1) # label(e_6_greater_e_1) # label(axiom). [assumption].
% 0.74/1.02 13 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 0.74/1.02 14 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 0.74/1.02 15 greater(e_5,e_2) # label(e_5_greater_e_2) # label(axiom). [assumption].
% 0.74/1.02 16 greater(e_6,e_2) # label(e_6_greater_e_2) # label(axiom). [assumption].
% 0.74/1.02 17 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom). [assumption].
% 0.74/1.02 18 greater(e_5,e_3) # label(e_5_greater_e_3) # label(axiom). [assumption].
% 0.74/1.02 19 greater(e_6,e_3) # label(e_6_greater_e_3) # label(axiom). [assumption].
% 0.74/1.02 20 greater(e_5,e_4) # label(e_5_greater_e_4) # label(axiom). [assumption].
% 0.74/1.02 21 greater(e_6,e_4) # label(e_6_greater_e_4) # label(axiom). [assumption].
% 0.74/1.02 22 greater(e_6,e_5) # label(e_6_greater_e_5) # label(axiom). [assumption].
% 0.74/1.02 Derived: -product(e_1,e_1,e_3). [resolve(7,b,13,a)].
% 0.74/1.02 Derived: -product(e_1,e_1,e_4). [resolve(7,b,14,a)].
% 0.74/1.02 Derived: -product(e_1,e_1,e_5). [resolve(7,b,15,a)].
% 0.74/1.02 Derived: -product(e_1,e_1,e_6). [resolve(7,b,16,a)].
% 0.74/1.02 23 -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 0.74/1.02 Derived: -product(e_2,e_1,e_4). [resolve(23,b,17,a)].
% 0.74/1.02 Derived: -product(e_2,e_1,e_5). [resolve(23,b,18,a)].
% 0.74/1.02 Derived: -product(e_2,e_1,e_6). [resolve(23,b,19,a)].
% 0.74/1.02 24 -product(e_3,e_1,A) | -greater(A,e_4). [resolve(1,b,4,a)].
% 0.74/1.02 Derived: -product(e_3,e_1,e_5). [resolve(24,b,20,a)].
% 0.74/1.02 Derived: -product(e_3,e_1,e_6). [resolve(24,b,21,a)].
% 0.74/1.02 25 -product(e_4,e_1,A) | -greater(A,e_5). [resolve(1,b,5,a)].
% 0.74/1.02 Derived: -product(e_4,e_1,e_6). [resolve(25,b,22,a)].
% 0.74/1.02 26 -product(e_5,e_1,A) | -greater(A,e_6). [resolve(1,b,6,a)].
% 0.74/1.02 27 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 0.74/1.02 28 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 0.74/1.02 29 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 0.74/1.02 30 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 0.74/1.02 31 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom). [assumption].
% 0.74/1.02 32 -equalish(e_1,e_6) # label(e_1_is_not_e_6) # label(axiom). [assumption].
% 0.74/1.02 33 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom). [assumption].
% 0.74/1.02 34 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 0.74/1.02 35 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 0.74/1.02 36 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom). [assumption].
% 0.74/1.02 37 -equalish(e_2,e_6) # label(e_2_is_not_e_6) # label(axiom). [assumption].
% 0.74/1.02 38 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom). [assumption].
% 0.74/1.02 39 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom). [assumption].
% 0.74/1.02 40 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 0.74/1.02 41 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom). [assumption].
% 0.74/1.02 42 -equalish(e_3,e_6) # label(e_3_is_not_e_6) # label(axiom). [assumption].
% 0.74/1.02 43 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom). [assumption].
% 0.74/1.02 44 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom). [assumption].
% 0.74/1.02 45 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom). [assumption].
% 0.74/1.02 46 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom). [assumption].
% 0.74/1.02 47 -equalish(e_4,e_6) # label(e_4_is_not_e_6) # label(axiom). [assumption].
% 0.74/1.02 48 -equalish(e_5,e_1) # label(e_5_is_not_e_1) # label(axiom). [assumption].
% 0.74/1.02 49 -equalish(e_5,e_2) # label(e_5_is_not_e_2) # label(axiom). [assumption].
% 0.74/1.02 50 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom). [assumption].
% 0.74/1.02 51 -equalish(e_5,e_4) # label(e_5_is_not_e_4) # label(axiom). [assumption].
% 0.74/1.02 52 -equalish(e_5,e_6) # label(e_5_is_not_e_6) # label(axiom). [assumption].
% 0.74/1.02 53 -equalish(e_6,e_1) # label(e_6_is_not_e_1) # label(axiom). [assumption].
% 0.74/1.02 54 -equalish(e_6,e_2) # label(e_6_is_not_e_2) # label(axiom). [assumption].
% 0.74/1.02 55 -equalish(e_6,e_3) # label(e_6_is_not_e_3) # label(axiom). [assumption].
% 0.74/1.02 56 -equalish(e_6,e_4) # label(e_6_is_not_e_4) # label(axiom). [assumption].
% 0.74/1.02 57 -equalish(e_6,e_5) # label(e_6_is_not_e_5) # label(axiom). [assumption].
% 0.74/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_2). [resolve(27,c,28,a)].
% 0.74/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_3). [resolve(27,c,29,a)].
% 0.74/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_4). [resolve(27,c,30,a)].
% 0.74/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_5). [resolve(27,c,31,a)].
% 0.74/1.02 Derived: -product(A,B,e_1) | -product(A,B,e_6). [resolve(27,c,32,a)].
% 0.74/1.02 Derived: -product(A,B,e_2) | -product(A,B,e_3). [resolve(27,c,34,a)].
% 0.74/1.02 Derived: -product(A,B,e_2) | -product(A,B,e_4). [resolve(27,c,35,a)].
% 0.74/1.02 Derived: -product(A,B,e_2) | -product(A,B,e_5). [resolve(27,c,36,a)].
% 0.74/1.02 Derived: -product(A,B,e_2) | -product(A,B,e_6). [resolve(27,c,37,a)].
% 1.05/1.36 Derived: -product(A,B,e_3) | -product(A,B,e_4). [resolve(27,c,40,a)].
% 1.05/1.36 Derived: -product(A,B,e_3) | -product(A,B,e_5). [resolve(27,c,41,a)].
% 1.05/1.36 Derived: -product(A,B,e_3) | -product(A,B,e_6). [resolve(27,c,42,a)].
% 1.05/1.36 Derived: -product(A,B,e_4) | -product(A,B,e_5). [resolve(27,c,46,a)].
% 1.05/1.36 Derived: -product(A,B,e_4) | -product(A,B,e_6). [resolve(27,c,47,a)].
% 1.05/1.36 Derived: -product(A,B,e_5) | -product(A,B,e_6). [resolve(27,c,52,a)].
% 1.05/1.36 58 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 1.05/1.36 Derived: -product(A,e_1,B) | -product(A,e_2,B). [resolve(58,c,28,a)].
% 1.05/1.36 Derived: -product(A,e_1,B) | -product(A,e_3,B). [resolve(58,c,29,a)].
% 1.05/1.36 Derived: -product(A,e_1,B) | -product(A,e_4,B). [resolve(58,c,30,a)].
% 1.05/1.36 Derived: -product(A,e_1,B) | -product(A,e_5,B). [resolve(58,c,31,a)].
% 1.05/1.36 Derived: -product(A,e_1,B) | -product(A,e_6,B). [resolve(58,c,32,a)].
% 1.05/1.36 Derived: -product(A,e_2,B) | -product(A,e_3,B). [resolve(58,c,34,a)].
% 1.05/1.36 Derived: -product(A,e_2,B) | -product(A,e_4,B). [resolve(58,c,35,a)].
% 1.05/1.36 Derived: -product(A,e_2,B) | -product(A,e_5,B). [resolve(58,c,36,a)].
% 1.05/1.36 Derived: -product(A,e_2,B) | -product(A,e_6,B). [resolve(58,c,37,a)].
% 1.05/1.36 Derived: -product(A,e_3,B) | -product(A,e_4,B). [resolve(58,c,40,a)].
% 1.05/1.36 Derived: -product(A,e_3,B) | -product(A,e_5,B). [resolve(58,c,41,a)].
% 1.05/1.36 Derived: -product(A,e_3,B) | -product(A,e_6,B). [resolve(58,c,42,a)].
% 1.05/1.36 Derived: -product(A,e_4,B) | -product(A,e_5,B). [resolve(58,c,46,a)].
% 1.05/1.36 Derived: -product(A,e_4,B) | -product(A,e_6,B). [resolve(58,c,47,a)].
% 1.05/1.36 Derived: -product(A,e_5,B) | -product(A,e_6,B). [resolve(58,c,52,a)].
% 1.05/1.36 59 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 1.05/1.36 Derived: -product(e_1,A,B) | -product(e_2,A,B). [resolve(59,c,28,a)].
% 1.05/1.36 Derived: -product(e_1,A,B) | -product(e_3,A,B). [resolve(59,c,29,a)].
% 1.05/1.36 Derived: -product(e_1,A,B) | -product(e_4,A,B). [resolve(59,c,30,a)].
% 1.05/1.36 Derived: -product(e_1,A,B) | -product(e_5,A,B). [resolve(59,c,31,a)].
% 1.05/1.36 Derived: -product(e_1,A,B) | -product(e_6,A,B). [resolve(59,c,32,a)].
% 1.05/1.36 Derived: -product(e_2,A,B) | -product(e_3,A,B). [resolve(59,c,34,a)].
% 1.05/1.36 Derived: -product(e_2,A,B) | -product(e_4,A,B). [resolve(59,c,35,a)].
% 1.05/1.36 Derived: -product(e_2,A,B) | -product(e_5,A,B). [resolve(59,c,36,a)].
% 1.05/1.36 Derived: -product(e_2,A,B) | -product(e_6,A,B). [resolve(59,c,37,a)].
% 1.05/1.36 Derived: -product(e_3,A,B) | -product(e_4,A,B). [resolve(59,c,40,a)].
% 1.05/1.36 Derived: -product(e_3,A,B) | -product(e_5,A,B). [resolve(59,c,41,a)].
% 1.05/1.36 Derived: -product(e_3,A,B) | -product(e_6,A,B). [resolve(59,c,42,a)].
% 1.05/1.36 Derived: -product(e_4,A,B) | -product(e_5,A,B). [resolve(59,c,46,a)].
% 1.05/1.36 Derived: -product(e_4,A,B) | -product(e_6,A,B). [resolve(59,c,47,a)].
% 1.05/1.36 Derived: -product(e_5,A,B) | -product(e_6,A,B). [resolve(59,c,52,a)].
% 1.05/1.36
% 1.05/1.36 ============================== end predicate elimination =============
% 1.05/1.36
% 1.05/1.36 Auto_denials: (non-Horn, no changes).
% 1.05/1.36
% 1.05/1.36 Term ordering decisions:
% 1.05/1.36 Function symbol KB weights: e_1=1. e_2=1. e_3=1. e_4=1. e_5=1. e_6=1.
% 1.05/1.36
% 1.05/1.36 ============================== end of process initial clauses ========
% 1.05/1.36
% 1.05/1.36 ============================== CLAUSES FOR SEARCH ====================
% 1.05/1.36
% 1.05/1.36 ============================== end of clauses for search =============
% 1.05/1.36
% 1.05/1.36 ============================== SEARCH ================================
% 1.05/1.36
% 1.05/1.36 % Starting search at 0.02 seconds.
% 1.05/1.36
% 1.05/1.36 ============================== PROOF =================================
% 1.05/1.36 % SZS status Unsatisfiable
% 1.05/1.36 % SZS output start Refutation
% 1.05/1.36
% 1.05/1.36 % Proof 1 at 0.34 (+ 0.01) seconds.
% 1.05/1.36 % Length of proof is 272.
% 1.05/1.36 % Level of proof is 46.
% 1.05/1.36 % Maximum clause weight is 28.000.
% 1.05/1.36 % Given clauses 1000.
% 1.05/1.36
% 1.05/1.36 1 -product(A,e_1,B) | -next(A,C) | -greater(B,C) # label(no_redundancy) # label(axiom). [assumption].
% 1.05/1.36 2 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom). [assumption].
% 1.05/1.36 3 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom). [assumption].
% 1.05/1.36 4 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom). [assumption].
% 1.05/1.36 5 next(e_4,e_5) # label(e_4_then_e_5) # label(axiom). [assumption].
% 1.05/1.36 7 -product(e_1,e_1,A) | -greater(A,e_2). [resolve(1,b,2,a)].
% 1.05/1.36 13 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom). [assumption].
% 1.05/1.36 14 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom). [assumption].
% 1.05/1.36 15 greater(e_5,e_2) # label(e_5_greater_e_2) # label(axiom). [assumption].
% 1.05/1.36 16 greater(e_6,e_2) # label(e_6_greater_e_2) # label(axiom). [assumption].
% 1.05/1.36 17 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom). [assumption].
% 1.05/1.36 18 greater(e_5,e_3) # label(e_5_greater_e_3) # label(axiom). [assumption].
% 1.05/1.36 19 greater(e_6,e_3) # label(e_6_greater_e_3) # label(axiom). [assumption].
% 1.05/1.36 20 greater(e_5,e_4) # label(e_5_greater_e_4) # label(axiom). [assumption].
% 1.05/1.36 21 greater(e_6,e_4) # label(e_6_greater_e_4) # label(axiom). [assumption].
% 1.05/1.36 22 greater(e_6,e_5) # label(e_6_greater_e_5) # label(axiom). [assumption].
% 1.05/1.36 23 -product(e_2,e_1,A) | -greater(A,e_3). [resolve(1,b,3,a)].
% 1.05/1.36 24 -product(e_3,e_1,A) | -greater(A,e_4). [resolve(1,b,4,a)].
% 1.05/1.36 25 -product(e_4,e_1,A) | -greater(A,e_5). [resolve(1,b,5,a)].
% 1.05/1.36 27 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom). [assumption].
% 1.05/1.36 28 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom). [assumption].
% 1.05/1.36 29 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom). [assumption].
% 1.05/1.36 30 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom). [assumption].
% 1.05/1.36 31 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom). [assumption].
% 1.05/1.36 32 -equalish(e_1,e_6) # label(e_1_is_not_e_6) # label(axiom). [assumption].
% 1.05/1.36 34 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom). [assumption].
% 1.05/1.36 35 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom). [assumption].
% 1.05/1.36 36 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom). [assumption].
% 1.05/1.36 37 -equalish(e_2,e_6) # label(e_2_is_not_e_6) # label(axiom). [assumption].
% 1.05/1.36 40 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom). [assumption].
% 1.05/1.36 41 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom). [assumption].
% 1.05/1.36 42 -equalish(e_3,e_6) # label(e_3_is_not_e_6) # label(axiom). [assumption].
% 1.05/1.36 46 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom). [assumption].
% 1.05/1.36 47 -equalish(e_4,e_6) # label(e_4_is_not_e_6) # label(axiom). [assumption].
% 1.05/1.36 52 -equalish(e_5,e_6) # label(e_5_is_not_e_6) # label(axiom). [assumption].
% 1.05/1.36 58 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom). [assumption].
% 1.05/1.36 59 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom). [assumption].
% 1.05/1.36 60 group_element(e_1) # label(element_1) # label(axiom). [assumption].
% 1.05/1.36 61 group_element(e_2) # label(element_2) # label(axiom). [assumption].
% 1.05/1.36 62 group_element(e_3) # label(element_3) # label(axiom). [assumption].
% 1.05/1.36 63 group_element(e_4) # label(element_4) # label(axiom). [assumption].
% 1.05/1.36 64 group_element(e_5) # label(element_5) # label(axiom). [assumption].
% 1.05/1.36 65 group_element(e_6) # label(element_6) # label(axiom). [assumption].
% 1.05/1.36 66 product(A,A,A) # label(product_idempotence) # label(axiom). [assumption].
% 1.05/1.36 67 -product(A,B,C) | -product(C,A,D) | product(D,A,B) # label(qg3) # label(negated_conjecture). [assumption].
% 1.05/1.36 68 -group_element(A) | -group_element(B) | product(A,B,e_1) | product(A,B,e_2) | product(A,B,e_3) | product(A,B,e_4) | product(A,B,e_5) | product(A,B,e_6) # label(product_total_function1) # label(axiom). [assumption].
% 1.05/1.36 69 -product(e_1,e_1,e_3). [resolve(7,b,13,a)].
% 1.05/1.36 70 -product(e_1,e_1,e_4). [resolve(7,b,14,a)].
% 1.05/1.36 71 -product(e_1,e_1,e_5). [resolve(7,b,15,a)].
% 1.05/1.36 72 -product(e_1,e_1,e_6). [resolve(7,b,16,a)].
% 1.05/1.36 73 -product(e_2,e_1,e_4). [resolve(23,b,17,a)].
% 1.05/1.36 74 -product(e_2,e_1,e_5). [resolve(23,b,18,a)].
% 1.05/1.36 75 -product(e_2,e_1,e_6). [resolve(23,b,19,a)].
% 1.05/1.36 76 -product(e_3,e_1,e_5). [resolve(24,b,20,a)].
% 1.05/1.36 77 -product(e_3,e_1,e_6). [resolve(24,b,21,a)].
% 1.05/1.36 78 -product(e_4,e_1,e_6). [resolve(25,b,22,a)].
% 1.05/1.36 85 -product(A,B,e_2) | -product(A,B,e_4). [resolve(27,c,35,a)].
% 1.05/1.36 86 -product(A,B,e_2) | -product(A,B,e_5). [resolve(27,c,36,a)].
% 1.05/1.36 93 -product(A,B,e_5) | -product(A,B,e_6). [resolve(27,c,52,a)].
% 1.05/1.36 94 -product(A,e_1,B) | -product(A,e_2,B). [resolve(58,c,28,a)].
% 1.05/1.36 95 -product(A,e_1,B) | -product(A,e_3,B). [resolve(58,c,29,a)].
% 1.05/1.36 96 -product(A,e_1,B) | -product(A,e_4,B). [resolve(58,c,30,a)].
% 1.05/1.36 97 -product(A,e_1,B) | -product(A,e_5,B). [resolve(58,c,31,a)].
% 1.05/1.36 98 -product(A,e_1,B) | -product(A,e_6,B). [resolve(58,c,32,a)].
% 1.05/1.36 99 -product(A,e_2,B) | -product(A,e_3,B). [resolve(58,c,34,a)].
% 1.05/1.36 100 -product(A,e_2,B) | -product(A,e_4,B). [resolve(58,c,35,a)].
% 1.05/1.36 101 -product(A,e_2,B) | -product(A,e_5,B). [resolve(58,c,36,a)].
% 1.05/1.36 102 -product(A,e_2,B) | -product(A,e_6,B). [resolve(58,c,37,a)].
% 1.05/1.36 103 -product(A,e_3,B) | -product(A,e_4,B). [resolve(58,c,40,a)].
% 1.05/1.36 104 -product(A,e_3,B) | -product(A,e_5,B). [resolve(58,c,41,a)].
% 1.05/1.36 106 -product(A,e_4,B) | -product(A,e_5,B). [resolve(58,c,46,a)].
% 1.05/1.36 107 -product(A,e_4,B) | -product(A,e_6,B). [resolve(58,c,47,a)].
% 1.05/1.36 108 -product(A,e_5,B) | -product(A,e_6,B). [resolve(58,c,52,a)].
% 1.05/1.36 109 -product(e_1,A,B) | -product(e_2,A,B). [resolve(59,c,28,a)].
% 1.05/1.36 110 -product(e_1,A,B) | -product(e_3,A,B). [resolve(59,c,29,a)].
% 1.05/1.36 111 -product(e_1,A,B) | -product(e_4,A,B). [resolve(59,c,30,a)].
% 1.05/1.36 112 -product(e_1,A,B) | -product(e_5,A,B). [resolve(59,c,31,a)].
% 1.05/1.36 113 -product(e_1,A,B) | -product(e_6,A,B). [resolve(59,c,32,a)].
% 1.05/1.36 114 -product(e_2,A,B) | -product(e_3,A,B). [resolve(59,c,34,a)].
% 1.05/1.36 115 -product(e_2,A,B) | -product(e_4,A,B). [resolve(59,c,35,a)].
% 1.05/1.36 116 -product(e_2,A,B) | -product(e_5,A,B). [resolve(59,c,36,a)].
% 1.05/1.36 117 -product(e_2,A,B) | -product(e_6,A,B). [resolve(59,c,37,a)].
% 1.05/1.36 118 -product(e_3,A,B) | -product(e_4,A,B). [resolve(59,c,40,a)].
% 1.05/1.36 120 -product(e_3,A,B) | -product(e_6,A,B). [resolve(59,c,42,a)].
% 1.05/1.36 122 -product(e_4,A,B) | -product(e_6,A,B). [resolve(59,c,47,a)].
% 1.05/1.36 127 -group_element(A) | product(e_6,A,e_1) | product(e_6,A,e_2) | product(e_6,A,e_3) | product(e_6,A,e_4) | product(e_6,A,e_5) | product(e_6,A,e_6). [resolve(68,a,65,a)].
% 1.05/1.36 128 -group_element(A) | product(e_5,A,e_1) | product(e_5,A,e_2) | product(e_5,A,e_3) | product(e_5,A,e_4) | product(e_5,A,e_5) | product(e_5,A,e_6). [resolve(68,a,64,a)].
% 1.05/1.36 129 -group_element(A) | product(e_4,A,e_1) | product(e_4,A,e_2) | product(e_4,A,e_3) | product(e_4,A,e_4) | product(e_4,A,e_5) | product(e_4,A,e_6). [resolve(68,a,63,a)].
% 1.05/1.36 130 -group_element(A) | product(e_3,A,e_1) | product(e_3,A,e_2) | product(e_3,A,e_3) | product(e_3,A,e_4) | product(e_3,A,e_5) | product(e_3,A,e_6). [resolve(68,a,62,a)].
% 1.05/1.36 131 -group_element(A) | product(e_2,A,e_1) | product(e_2,A,e_2) | product(e_2,A,e_3) | product(e_2,A,e_4) | product(e_2,A,e_5) | product(e_2,A,e_6). [resolve(68,a,61,a)].
% 1.05/1.36 132 -group_element(A) | product(e_1,A,e_1) | product(e_1,A,e_2) | product(e_1,A,e_3) | product(e_1,A,e_4) | product(e_1,A,e_5) | product(e_1,A,e_6). [resolve(68,a,60,a)].
% 1.05/1.36 139 -product(e_1,e_3,e_1). [ur(67,b,66,a,c,69,a)].
% 1.05/1.36 140 -product(e_1,e_4,e_1). [ur(67,b,66,a,c,70,a)].
% 1.05/1.36 141 -product(e_1,e_5,e_1). [ur(67,b,66,a,c,71,a)].
% 1.05/1.36 142 -product(e_1,e_6,e_1). [ur(67,b,66,a,c,72,a)].
% 1.05/1.36 169 -product(e_2,e_1,e_2). [resolve(94,b,66,a)].
% 1.05/1.36 170 -product(e_1,e_2,e_1). [ur(94,a,66,a)].
% 1.05/1.36 171 -product(e_3,e_1,e_3). [resolve(95,b,66,a)].
% 1.05/1.36 172 -product(e_4,e_1,e_4). [resolve(96,b,66,a)].
% 1.05/1.36 173 -product(e_5,e_1,e_5). [resolve(97,b,66,a)].
% 1.05/1.36 174 -product(e_6,e_1,e_6). [resolve(98,b,66,a)].
% 1.05/1.36 175 -product(e_3,e_2,e_3). [resolve(99,b,66,a)].
% 1.05/1.36 178 -product(e_2,e_4,e_2). [ur(100,a,66,a)].
% 1.05/1.36 182 -product(e_2,e_6,e_2). [ur(102,a,66,a)].
% 1.05/1.36 183 -product(e_4,e_3,e_4). [resolve(103,b,66,a)].
% 1.05/1.36 195 -product(e_1,e_2,e_2). [resolve(109,b,66,a)].
% 1.05/1.36 196 -product(e_2,e_1,e_1). [ur(109,a,66,a)].
% 1.05/1.36 197 -product(e_1,e_3,e_3). [resolve(110,b,66,a)].
% 1.05/1.36 198 -product(e_3,e_1,e_1). [ur(110,a,66,a)].
% 1.05/1.36 199 -product(e_1,e_4,e_4). [resolve(111,b,66,a)].
% 1.05/1.36 200 -product(e_4,e_1,e_1). [ur(111,a,66,a)].
% 1.05/1.36 201 -product(e_1,e_5,e_5). [resolve(112,b,66,a)].
% 1.05/1.36 202 -product(e_5,e_1,e_1). [ur(112,a,66,a)].
% 1.05/1.36 203 -product(e_1,e_6,e_6). [resolve(113,b,66,a)].
% 1.05/1.36 204 -product(e_6,e_1,e_1). [ur(113,a,66,a)].
% 1.05/1.36 206 -product(e_3,e_2,e_2). [ur(114,a,66,a)].
% 1.05/1.36 207 -product(e_2,e_4,e_4). [resolve(115,b,66,a)].
% 1.05/1.36 211 -product(e_2,e_6,e_6). [resolve(117,b,66,a)].
% 1.05/1.36 214 -product(e_4,e_3,e_3). [ur(118,a,66,a)].
% 1.05/1.36 229 product(e_6,e_1,e_2) | product(e_6,e_1,e_3) | product(e_6,e_1,e_4) | product(e_6,e_1,e_5). [resolve(127,a,60,a),unit_del(a,204),unit_del(f,174)].
% 1.05/1.36 250 product(e_5,e_1,e_2) | product(e_5,e_1,e_3) | product(e_5,e_1,e_4) | product(e_5,e_1,e_6). [resolve(128,a,60,a),unit_del(a,202),unit_del(e,173)].
% 1.05/1.36 264 product(e_6,e_1,e_2) | product(e_6,e_1,e_3) | product(e_6,e_1,e_4) | -product(e_4,e_1,e_5). [resolve(229,d,122,b)].
% 1.05/1.36 265 product(e_6,e_1,e_2) | product(e_6,e_1,e_3) | product(e_6,e_1,e_4) | -product(e_1,A,e_6) | product(e_5,e_1,A). [resolve(229,d,67,b)].
% 1.05/1.36 269 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_5) | product(e_4,e_3,e_6). [resolve(129,a,62,a),unit_del(c,214),unit_del(d,183)].
% 1.05/1.36 271 product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | product(e_4,e_1,e_5). [resolve(129,a,60,a),unit_del(a,200),unit_del(d,172),unit_del(f,78)].
% 1.05/1.36 272 product(e_4,e_1,e_2) | product(e_4,e_1,e_3) | -product(e_1,A,e_4) | product(e_5,e_1,A). [resolve(271,c,67,b)].
% 1.05/1.36 277 product(e_3,e_2,e_1) | product(e_3,e_2,e_4) | product(e_3,e_2,e_5) | product(e_3,e_2,e_6). [resolve(130,a,61,a),unit_del(b,206),unit_del(c,175)].
% 1.05/1.36 278 product(e_3,e_1,e_2) | product(e_3,e_1,e_4). [resolve(130,a,60,a),unit_del(a,198),unit_del(c,171),unit_del(e,76),unit_del(f,77)].
% 1.05/1.36 279 product(e_3,e_1,e_2) | -product(e_1,A,e_3) | product(e_4,e_1,A). [resolve(278,b,67,b)].
% 1.05/1.36 281 product(e_2,e_6,e_1) | product(e_2,e_6,e_3) | product(e_2,e_6,e_4) | product(e_2,e_6,e_5). [resolve(131,a,65,a),unit_del(b,182),unit_del(f,211)].
% 1.05/1.36 283 product(e_2,e_4,e_1) | product(e_2,e_4,e_3) | product(e_2,e_4,e_5) | product(e_2,e_4,e_6). [resolve(131,a,63,a),unit_del(b,178),unit_del(d,207)].
% 1.05/1.36 285 product(e_2,e_1,e_3). [resolve(131,a,60,a),unit_del(a,196),unit_del(b,169),unit_del(d,73),unit_del(e,74),unit_del(f,75)].
% 1.05/1.36 286 -product(e_1,A,e_2) | product(e_3,e_1,A). [resolve(285,a,67,b)].
% 1.05/1.36 287 -product(e_3,e_2,A) | product(A,e_2,e_1). [resolve(285,a,67,a)].
% 1.05/1.36 288 -product(e_6,e_1,e_3). [ur(117,a,285,a)].
% 1.05/1.36 289 -product(e_5,e_1,e_3). [ur(116,a,285,a)].
% 1.05/1.36 290 -product(e_4,e_1,e_3). [ur(115,a,285,a)].
% 1.05/1.36 291 -product(e_2,e_6,e_3). [ur(98,a,285,a)].
% 1.05/1.36 293 -product(e_2,e_4,e_3). [ur(96,a,285,a)].
% 1.05/1.36 294 -product(e_1,e_6,e_2). [ur(67,b,285,a,c,77,a)].
% 1.05/1.36 295 -product(e_1,e_5,e_2). [ur(67,b,285,a,c,76,a)].
% 1.05/1.36 297 product(e_6,e_1,e_2) | product(e_6,e_1,e_4) | -product(e_1,A,e_6) | product(e_5,e_1,A). [back_unit_del(265),unit_del(b,288)].
% 1.05/1.36 298 product(e_6,e_1,e_2) | product(e_6,e_1,e_4) | -product(e_4,e_1,e_5). [back_unit_del(264),unit_del(b,288)].
% 1.05/1.36 300 product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | product(e_5,e_1,e_6). [back_unit_del(250),unit_del(b,289)].
% 1.05/1.36 302 product(e_4,e_1,e_2) | -product(e_1,A,e_4) | product(e_5,e_1,A). [back_unit_del(272),unit_del(b,290)].
% 1.05/1.36 303 product(e_4,e_1,e_2) | product(e_4,e_1,e_5). [back_unit_del(271),unit_del(b,290)].
% 1.05/1.36 304 product(e_2,e_6,e_1) | product(e_2,e_6,e_4) | product(e_2,e_6,e_5). [back_unit_del(281),unit_del(b,291)].
% 1.05/1.36 306 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_2,e_4,e_6). [back_unit_del(283),unit_del(b,293)].
% 1.05/1.36 307 product(e_1,e_6,e_3) | product(e_1,e_6,e_4) | product(e_1,e_6,e_5). [resolve(132,a,65,a),unit_del(a,142),unit_del(b,294),unit_del(f,203)].
% 1.05/1.36 308 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | product(e_1,e_5,e_6). [resolve(132,a,64,a),unit_del(a,141),unit_del(b,295),unit_del(e,201)].
% 1.05/1.36 309 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5) | product(e_1,e_4,e_6). [resolve(132,a,63,a),unit_del(a,140),unit_del(d,199)].
% 1.05/1.36 310 product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_1,e_3,e_6). [resolve(132,a,62,a),unit_del(a,139),unit_del(c,197)].
% 1.05/1.36 311 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | product(e_1,e_2,e_6). [resolve(132,a,61,a),unit_del(a,170),unit_del(b,195)].
% 1.05/1.36 312 product(e_6,e_1,e_2) | product(e_6,e_1,e_4) | product(e_4,e_1,e_2). [resolve(298,c,303,b)].
% 1.05/1.36 313 product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | -product(e_1,A,e_5) | product(e_6,e_1,A). [resolve(300,c,67,b)].
% 1.05/1.36 316 product(e_2,e_6,e_1) | product(e_2,e_6,e_4) | -product(e_2,e_4,e_5). [resolve(304,c,107,b)].
% 1.05/1.36 328 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | -product(e_6,e_2,A) | product(A,e_2,e_4). [resolve(306,c,67,a)].
% 1.05/1.36 329 -product(e_3,e_2,e_1). [ur(287,b,170,a)].
% 1.05/1.36 330 product(e_3,e_2,e_4) | product(e_3,e_2,e_5) | product(e_3,e_2,e_6). [back_unit_del(277),unit_del(a,329)].
% 1.05/1.36 335 product(e_1,e_6,e_3) | product(e_1,e_6,e_4) | -product(e_5,e_1,A) | product(A,e_1,e_6). [resolve(307,c,67,a)].
% 1.05/1.36 337 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | -product(e_1,e_3,e_6). [resolve(308,c,104,b)].
% 1.05/1.36 340 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | -product(e_6,e_1,A) | product(A,e_1,e_5). [resolve(308,c,67,a)].
% 1.05/1.36 342 product(e_6,e_1,e_2) | product(e_4,e_1,e_2) | -product(e_3,e_1,e_4). [resolve(312,b,120,b)].
% 1.05/1.36 343 product(e_6,e_1,e_2) | product(e_4,e_1,e_2) | -product(e_1,A,e_6) | product(e_4,e_1,A). [resolve(312,b,67,b)].
% 1.05/1.36 345 product(e_6,e_1,e_2) | product(e_4,e_1,e_2) | -product(e_1,e_2,e_6). [factor(343,b,d)].
% 1.05/1.36 347 -product(e_1,e_3,e_2). [ur(286,b,171,a)].
% 1.05/1.36 348 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_1,e_3,e_6). [back_unit_del(310),unit_del(a,347)].
% 1.05/1.36 351 product(e_3,e_2,e_4) | product(e_3,e_2,e_5) | product(e_6,e_2,e_1). [resolve(330,c,287,a)].
% 1.05/1.36 355 product(e_6,e_1,e_2) | product(e_4,e_1,e_2) | product(e_3,e_1,e_2). [resolve(342,c,278,b)].
% 1.05/1.36 356 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_1,e_5,e_3) | product(e_1,e_5,e_4). [resolve(348,c,337,c)].
% 1.05/1.36 359 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_6,e_1,A) | product(A,e_1,e_3). [resolve(348,c,67,a)].
% 1.05/1.36 421 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_5) | -product(e_1,e_3,e_6). [resolve(269,d,111,b)].
% 1.05/1.36 457 product(e_6,e_1,e_2) | product(e_6,e_1,e_4) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(297,c,348,c),unit_del(c,289)].
% 1.05/1.36 458 product(e_6,e_1,e_2) | product(e_6,e_1,e_4) | product(e_1,e_5,e_3) | product(e_1,e_5,e_4). [resolve(297,c,308,c),unit_del(c,173)].
% 1.05/1.36 465 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5) | -product(e_6,e_1,A) | product(A,e_1,e_4). [resolve(309,d,67,a)].
% 1.05/1.36 471 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | product(e_6,e_1,e_2) | product(e_4,e_1,e_2). [resolve(311,d,345,c)].
% 1.05/1.36 475 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | -product(e_6,e_1,A) | product(A,e_1,e_2). [resolve(311,d,67,a)].
% 1.05/1.36 476 product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | product(e_1,e_6,e_3) | product(e_1,e_6,e_4). [resolve(313,c,307,c),unit_del(c,174)].
% 1.05/1.36 485 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_1,e_2,e_4) | product(e_3,e_2,e_4) | product(e_3,e_2,e_5). [resolve(328,c,351,c)].
% 1.05/1.36 489 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | product(e_4,e_1,e_2) | product(e_3,e_1,e_2). [resolve(340,c,355,a),unit_del(c,74)].
% 1.05/1.36 491 product(e_6,e_1,e_2) | product(e_4,e_1,e_2) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5). [resolve(343,c,309,d),unit_del(c,172)].
% 1.05/1.36 508 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_1,e_5,e_3) | product(e_4,e_1,e_2). [resolve(356,d,302,b),unit_del(e,173)].
% 1.05/1.36 573 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_3,e_5) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(421,d,348,c)].
% 1.05/1.36 590 product(e_6,e_1,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(457,b,359,c),merge(d),merge(e),unit_del(d,290)].
% 1.05/1.36 594 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_4,e_1,e_2). [resolve(590,a,122,b)].
% 1.05/1.36 605 product(e_6,e_1,e_2) | product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | product(e_4,e_1,e_5). [resolve(458,b,340,c),merge(d),merge(e)].
% 1.05/1.36 615 product(e_5,e_1,e_2) | product(e_1,e_6,e_3) | product(e_1,e_6,e_4). [resolve(476,b,335,c),merge(d),merge(e),unit_del(d,78)].
% 1.05/1.36 626 product(e_1,e_6,e_3) | product(e_1,e_6,e_4). [resolve(615,a,335,c),merge(c),merge(d),unit_del(c,75)].
% 1.05/1.36 630 product(e_1,e_6,e_3) | -product(e_1,e_5,e_4). [resolve(626,b,108,b)].
% 1.05/1.36 632 product(e_1,e_6,e_3) | -product(e_1,e_2,e_4). [resolve(626,b,102,b)].
% 1.05/1.36 634 product(e_1,e_6,e_3) | -product(e_4,e_1,A) | product(A,e_1,e_6). [resolve(626,b,67,a)].
% 1.05/1.36 661 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_1,e_5,e_3). [resolve(508,d,594,c),merge(d),merge(e)].
% 1.05/1.36 663 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_1,e_4,e_3). [resolve(661,c,106,b)].
% 1.05/1.36 666 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_3,e_1,A) | product(A,e_1,e_5). [resolve(661,c,67,a)].
% 1.05/1.36 678 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | product(e_4,e_1,e_5). [resolve(605,a,340,c),merge(d),merge(e),unit_del(d,74)].
% 1.05/1.36 682 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | -product(e_4,e_1,e_2). [resolve(678,c,86,b)].
% 1.05/1.36 685 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | product(e_3,e_1,e_2). [resolve(682,c,489,c),merge(c),merge(d)].
% 1.05/1.36 693 product(e_1,e_5,e_3) | product(e_1,e_5,e_4) | -product(e_1,A,e_3) | product(e_2,e_1,A). [resolve(685,c,67,b)].
% 1.05/1.36 843 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | product(e_4,e_1,e_2). [resolve(475,d,471,d),merge(e),merge(f),merge(g),unit_del(d,169)].
% 1.05/1.36 851 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | product(e_1,e_6,e_3). [resolve(843,d,634,b),unit_del(e,75)].
% 1.05/1.36 853 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | -product(e_3,e_1,e_2). [resolve(843,d,118,b)].
% 1.05/1.36 856 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5) | product(e_3,e_1,e_2). [resolve(851,d,279,b),unit_del(e,78)].
% 1.05/1.36 861 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_5). [resolve(856,d,853,d),merge(d),merge(e),merge(f)].
% 1.05/1.36 914 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_1,e_2,e_4) | product(e_3,e_2,e_4) | -product(e_1,e_2,e_5). [resolve(485,e,110,b)].
% 1.05/1.36 924 product(e_4,e_1,e_2) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5). [resolve(491,a,465,d),merge(e),merge(f),merge(g),unit_del(e,73)].
% 1.05/1.36 926 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5) | product(e_1,e_6,e_3). [resolve(924,a,634,b),unit_del(e,75)].
% 1.05/1.36 927 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5) | -product(e_3,e_1,e_2). [resolve(924,a,118,b)].
% 1.05/1.36 931 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5) | product(e_3,e_1,e_2). [resolve(926,d,279,b),unit_del(e,78)].
% 1.05/1.36 946 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_5). [resolve(931,d,927,d),merge(d),merge(e),merge(f)].
% 1.05/1.36 948 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | product(e_6,e_1,e_4). [resolve(946,c,313,c)].
% 1.05/1.36 951 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_1,e_2,e_5). [resolve(946,c,100,b)].
% 1.05/1.36 953 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_5,e_1,A) | product(A,e_1,e_4). [resolve(946,c,67,a)].
% 1.05/1.36 954 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4). [resolve(951,c,861,c)].
% 1.05/1.36 959 product(e_1,e_4,e_2) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_3,e_1,e_2). [resolve(954,b,279,b),unit_del(e,172)].
% 1.05/1.36 961 product(e_1,e_4,e_2) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_3,e_1,A) | product(A,e_1,e_4). [resolve(954,b,67,a)].
% 1.05/1.36 1113 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_4,e_1,e_5). [resolve(573,c,95,b)].
% 1.05/1.36 1365 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_1,e_2,e_4) | product(e_3,e_2,e_4) | product(e_1,e_2,e_3). [resolve(914,e,861,c),merge(f)].
% 1.05/1.36 1382 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | -product(e_3,e_1,e_4). [resolve(948,e,120,b)].
% 1.05/1.36 1417 product(e_1,e_4,e_2) | product(e_1,e_2,e_3) | product(e_1,e_2,e_4). [resolve(961,d,959,d),merge(e),merge(f),merge(g),unit_del(d,73)].
% 1.05/1.36 1427 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_3,e_1,e_4). [resolve(1417,a,286,a)].
% 1.05/1.36 1428 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_4,A,e_1) | product(e_2,e_4,A). [resolve(1417,a,67,b)].
% 1.05/1.36 1434 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_3,e_1,e_2). [resolve(1427,c,85,b)].
% 1.05/1.36 1435 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_1,A,e_3) | product(e_4,e_1,A). [resolve(1427,c,67,b)].
% 1.05/1.36 1437 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_5,e_3) | product(e_1,e_5,e_4). [resolve(1434,c,685,c)].
% 1.05/1.36 1453 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_5,e_3) | product(e_1,e_6,e_3). [resolve(1437,d,630,b)].
% 1.05/1.36 1460 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_5,e_3). [resolve(1453,d,1435,c),merge(d),merge(e),unit_del(d,78)].
% 1.05/1.36 1461 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_4,e_1,e_5). [resolve(1460,c,1435,c),merge(c),merge(d)].
% 1.05/1.36 1466 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_6,e_3) | product(e_5,e_1,e_6). [resolve(1461,c,634,b)].
% 1.05/1.36 1469 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_6,e_1,e_2) | product(e_6,e_1,e_4). [resolve(1461,c,298,c)].
% 1.05/1.36 1471 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_1,A,e_4) | product(e_5,e_1,A). [resolve(1461,c,67,b)].
% 1.05/1.36 1490 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_6,e_3) | -product(e_1,A,e_5) | product(e_6,e_1,A). [resolve(1466,d,67,b)].
% 1.05/1.36 1495 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_6,e_1,e_2) | -product(e_3,e_1,e_4). [resolve(1469,d,120,b)].
% 1.05/1.36 1522 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_6,e_1,e_2). [resolve(1495,d,1427,c),merge(d),merge(e)].
% 1.05/1.36 1526 product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | -product(e_2,e_6,A) | product(A,e_6,e_1). [resolve(1522,c,67,a)].
% 1.05/1.36 1756 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_4,e_2,e_1). [resolve(1365,d,287,a)].
% 1.05/1.36 1771 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_5,e_1,e_2) | product(e_5,e_1,e_4) | product(e_3,e_1,e_2). [resolve(1382,e,278,b)].
% 1.05/1.36 1980 product(e_2,e_4,e_1) | product(e_2,e_4,e_5) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3). [resolve(1756,e,1428,c),merge(e),merge(f),unit_del(e,178)].
% 1.05/1.36 1984 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_2,e_6,e_1) | product(e_2,e_6,e_4). [resolve(1980,b,316,c)].
% 1.05/1.36 2008 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_5,e_1,e_2) | product(e_3,e_1,e_2). [resolve(1771,d,953,c),merge(e),merge(f),unit_del(e,172)].
% 1.05/1.36 2021 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_3,e_1,e_2). [resolve(2008,c,953,c),merge(d),merge(e),unit_del(d,73)].
% 1.05/1.36 2023 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(2021,c,666,c),unit_del(e,74)].
% 1.05/1.36 2025 product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_1,A,e_3) | product(e_2,e_1,A). [resolve(2021,c,67,b)].
% 1.05/1.36 2030 product(e_1,e_4,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(2023,b,663,c),merge(d),merge(e)].
% 1.05/1.36 2032 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_3,e_1,e_4). [resolve(2030,a,286,a)].
% 1.05/1.36 2047 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_4,e_1,e_5). [resolve(2032,c,666,c),merge(c),merge(d)].
% 1.05/1.36 2049 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | -product(e_4,e_3,A) | product(A,e_3,e_1). [resolve(2032,c,67,a)].
% 1.05/1.36 2051 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_4,e_3,e_1) | product(e_4,e_3,e_2). [resolve(2047,c,1113,e),merge(e),merge(f)].
% 1.05/1.36 2076 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_4,e_3,e_1) | product(e_2,e_3,e_1). [resolve(2051,d,2049,c),merge(d),merge(e)].
% 1.05/1.36 2102 product(e_1,e_3,e_4) | product(e_1,e_3,e_5) | product(e_2,e_3,e_1). [resolve(2076,c,2049,c),merge(d),merge(e),unit_del(d,139)].
% 1.05/1.36 2258 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_2,e_6,e_1) | product(e_4,e_6,e_1). [resolve(1984,e,1526,c),merge(e),merge(f)].
% 1.05/1.36 2385 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_2,e_6,e_1) | product(e_2,e_4,e_6). [resolve(2258,e,1428,c),merge(e),merge(f)].
% 1.05/1.36 2474 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_2,e_4,e_6). [resolve(2385,d,1526,c),merge(e),merge(f),unit_del(e,142)].
% 1.05/1.36 2483 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | -product(e_2,e_4,e_5). [resolve(2474,d,93,b)].
% 1.05/1.36 2491 product(e_2,e_4,e_1) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3). [resolve(2483,d,1980,b),merge(d),merge(e),merge(f)].
% 1.05/1.36 2496 product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | -product(e_2,e_3,e_1). [resolve(2491,a,103,b)].
% 1.05/1.36 2519 product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_1,e_3,e_4) | product(e_1,e_3,e_5). [resolve(2496,c,2102,c)].
% 1.05/1.36 2533 product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_1,e_3,e_4) | product(e_1,e_6,e_3). [resolve(2519,d,1490,d),merge(d),merge(e),unit_del(e,288)].
% 1.05/1.36 2540 product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_1,e_3,e_4). [resolve(2533,d,1435,c),merge(d),merge(e),unit_del(d,78)].
% 1.05/1.36 2541 product(e_1,e_2,e_4) | product(e_1,e_2,e_3). [resolve(2540,c,1471,c),merge(c),merge(d),unit_del(c,289)].
% 1.05/1.36 2550 product(e_1,e_2,e_3) | product(e_1,e_6,e_3). [resolve(2541,a,632,b)].
% 1.05/1.36 2565 product(e_1,e_2,e_3) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3). [resolve(2550,b,2025,c),unit_del(d,75)].
% 1.05/1.36 2573 product(e_1,e_2,e_3) | product(e_3,e_1,e_2). [resolve(2550,b,279,b),unit_del(c,78)].
% 1.05/1.36 2575 product(e_1,e_2,e_3) | -product(e_1,e_4,e_3). [resolve(2550,b,107,b)].
% 1.05/1.36 2604 product(e_1,e_2,e_3) | product(e_1,e_4,e_2). [resolve(2565,c,2575,b),merge(c)].
% 1.05/1.36 2605 product(e_1,e_2,e_3) | product(e_3,e_1,e_4). [resolve(2604,b,286,a)].
% 1.05/1.36 2613 product(e_1,e_2,e_3) | -product(e_3,e_1,e_2). [resolve(2605,b,85,b)].
% 1.05/1.36 2616 product(e_1,e_2,e_3). [resolve(2613,b,2573,b),merge(b)].
% 1.05/1.36 2635 product(e_1,e_5,e_3) | product(e_1,e_5,e_4). [resolve(2616,a,693,c),unit_del(c,169)].
% 1.05/1.36 2642 -product(e_1,e_6,e_3). [ur(102,a,2616,a)].
% 1.05/1.36 2643 -product(e_1,e_5,e_3). [ur(101,a,2616,a)].
% 1.05/1.36 3071 -product(e_1,e_5,e_4). [back_unit_del(630),unit_del(a,2642)].
% 1.05/1.36 3076 $F. [back_unit_del(2635),unit_del(a,2643),unit_del(b,3071)].
% 1.05/1.36
% 1.05/1.36 % SZS output end Refutation
% 1.05/1.36 ============================== end of proof ==========================
% 1.05/1.36
% 1.05/1.36 ============================== STATISTICS ============================
% 1.05/1.36
% 1.05/1.36 Given=1000. Generated=6227. Kept=3016. proofs=1.
% 1.05/1.36 Usable=464. Sos=392. Demods=0. Limbo=433, Disabled=1850. Hints=0.
% 1.05/1.36 Megabytes=2.99.
% 1.05/1.36 User_CPU=0.35, System_CPU=0.02, Wall_clock=0.
% 1.05/1.36
% 1.05/1.36 ============================== end of statistics =====================
% 1.05/1.36
% 1.05/1.36 ============================== end of search =========================
% 1.05/1.36
% 1.05/1.36 THEOREM PROVED
% 1.05/1.36 % SZS status Unsatisfiable
% 1.05/1.36
% 1.05/1.36 Exiting with 1 proof.
% 1.05/1.36
% 1.05/1.36 Process 4189 exit (max_proofs) Mon Jun 13 23:05:40 2022
% 1.05/1.36 Prover9 interrupted
%------------------------------------------------------------------------------