TSTP Solution File: GRP242-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP242-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:18:18 EDT 2022
% Result : Unsatisfiable 70.96s 71.26s
% Output : Refutation 70.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GRP242-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n028.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 : Mon Jun 13 16:21:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 60.95/61.21 ============================== Prover9 ===============================
% 60.95/61.21 Prover9 (32) version 2009-11A, November 2009.
% 60.95/61.21 Process 6150 was started by sandbox2 on n028.cluster.edu,
% 60.95/61.21 Mon Jun 13 16:21:38 2022
% 60.95/61.21 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5997_n028.cluster.edu".
% 60.95/61.21 ============================== end of head ===========================
% 60.95/61.21
% 60.95/61.21 ============================== INPUT =================================
% 60.95/61.21
% 60.95/61.21 % Reading from file /tmp/Prover9_5997_n028.cluster.edu
% 60.95/61.21
% 60.95/61.21 set(prolog_style_variables).
% 60.95/61.21 set(auto2).
% 60.95/61.21 % set(auto2) -> set(auto).
% 60.95/61.21 % set(auto) -> set(auto_inference).
% 60.95/61.21 % set(auto) -> set(auto_setup).
% 60.95/61.21 % set(auto_setup) -> set(predicate_elim).
% 60.95/61.21 % set(auto_setup) -> assign(eq_defs, unfold).
% 60.95/61.21 % set(auto) -> set(auto_limits).
% 60.95/61.21 % set(auto_limits) -> assign(max_weight, "100.000").
% 60.95/61.21 % set(auto_limits) -> assign(sos_limit, 20000).
% 60.95/61.21 % set(auto) -> set(auto_denials).
% 60.95/61.21 % set(auto) -> set(auto_process).
% 60.95/61.21 % set(auto2) -> assign(new_constants, 1).
% 60.95/61.21 % set(auto2) -> assign(fold_denial_max, 3).
% 60.95/61.21 % set(auto2) -> assign(max_weight, "200.000").
% 60.95/61.21 % set(auto2) -> assign(max_hours, 1).
% 60.95/61.21 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 60.95/61.21 % set(auto2) -> assign(max_seconds, 0).
% 60.95/61.21 % set(auto2) -> assign(max_minutes, 5).
% 60.95/61.21 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 60.95/61.21 % set(auto2) -> set(sort_initial_sos).
% 60.95/61.21 % set(auto2) -> assign(sos_limit, -1).
% 60.95/61.21 % set(auto2) -> assign(lrs_ticks, 3000).
% 60.95/61.21 % set(auto2) -> assign(max_megs, 400).
% 60.95/61.21 % set(auto2) -> assign(stats, some).
% 60.95/61.21 % set(auto2) -> clear(echo_input).
% 60.95/61.21 % set(auto2) -> set(quiet).
% 60.95/61.21 % set(auto2) -> clear(print_initial_clauses).
% 60.95/61.21 % set(auto2) -> clear(print_given).
% 60.95/61.21 assign(lrs_ticks,-1).
% 60.95/61.21 assign(sos_limit,10000).
% 60.95/61.21 assign(order,kbo).
% 60.95/61.21 set(lex_order_vars).
% 60.95/61.21 clear(print_given).
% 60.95/61.21
% 60.95/61.21 % formulas(sos). % not echoed (64 formulas)
% 60.95/61.21
% 60.95/61.21 ============================== end of input ==========================
% 60.95/61.21
% 60.95/61.21 % From the command line: assign(max_seconds, 300).
% 60.95/61.21
% 60.95/61.21 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 60.95/61.21
% 60.95/61.21 % Formulas that are not ordinary clauses:
% 60.95/61.21
% 60.95/61.21 ============================== end of process non-clausal formulas ===
% 60.95/61.21
% 60.95/61.21 ============================== PROCESS INITIAL CLAUSES ===============
% 60.95/61.21
% 60.95/61.21 ============================== PREDICATE ELIMINATION =================
% 60.95/61.21
% 60.95/61.21 ============================== end predicate elimination =============
% 60.95/61.21
% 60.95/61.21 Auto_denials: (non-Horn, no changes).
% 60.95/61.21
% 60.95/61.21 Term ordering decisions:
% 60.95/61.21
% 60.95/61.21 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 60.95/61.21 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c9=1. sk_c6=1. sk_c7=1. sk_c8=1. sk_c4=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c5=1. identity=1. multiply=1. inverse=0.
% 60.95/61.21
% 60.95/61.21 ============================== end of process initial clauses ========
% 60.95/61.21
% 60.95/61.21 ============================== CLAUSES FOR SEARCH ====================
% 60.95/61.21
% 60.95/61.21 ============================== end of clauses for search =============
% 60.95/61.21
% 60.95/61.21 ============================== SEARCH ================================
% 60.95/61.21
% 60.95/61.21 % Starting search at 0.56 seconds.
% 60.95/61.21
% 60.95/61.21 Low Water (keep): wt=63.000, iters=3872
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=11158, wt=65.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=11168, wt=64.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=11444, wt=62.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=11507, wt=61.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=13003, wt=60.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=13038, wt=59.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=13246, wt=58.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=14407, wt=57.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=15190, wt=55.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=15520, wt=54.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=17002, wt=53.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=28944, wt=51.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=28993, wt=50.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=30727, wt=49.000
% 60.95/61.21
% 60.95/61.21 Low Water (keep): wt=54.000, iters=3383
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=42490, wt=48.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=43491, wt=47.000
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=44015, wt=46.000
% 60.95/61.21
% 60.95/61.21 Low Water (keep): wt=53.000, iters=4063
% 60.95/61.21
% 60.95/61.21 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 52 (0.00 of 57.44 sec).
% 60.95/61.21
% 60.95/61.21 Low Water (keep): wt=52.000, iters=3335
% 60.95/61.21
% 60.95/61.21 Low Water (keep): wt=51.000, iters=3350
% 60.95/61.21
% 60.95/61.21 Low Water (displace): id=102438, wt=45.000
% 70.96/71.26
% 70.96/71.26 Low Water (keep): wt=50.000, iters=3516
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108110, wt=37.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108142, wt=36.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108282, wt=35.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108327, wt=34.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108375, wt=32.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108418, wt=28.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108509, wt=17.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108514, wt=14.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=108718, wt=12.000
% 70.96/71.26
% 70.96/71.26 Low Water (keep): wt=49.000, iters=3341
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=109554, wt=11.000
% 70.96/71.26
% 70.96/71.26 Low Water (displace): id=110426, wt=10.000
% 70.96/71.26
% 70.96/71.26 Low Water (keep): wt=48.000, iters=3592
% 70.96/71.26
% 70.96/71.26 Low Water (keep): wt=47.000, iters=3369
% 70.96/71.26
% 70.96/71.26 ============================== PROOF =================================
% 70.96/71.26 % SZS status Unsatisfiable
% 70.96/71.26 % SZS output start Refutation
% 70.96/71.26
% 70.96/71.26 % Proof 1 at 69.82 (+ 0.42) seconds.
% 70.96/71.26 % Length of proof is 78.
% 70.96/71.26 % Level of proof is 20.
% 70.96/71.26 % Maximum clause weight is 72.000.
% 70.96/71.26 % Given clauses 1296.
% 70.96/71.26
% 70.96/71.26 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 70.96/71.26 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 70.96/71.26 3 inverse(sk_c1) = sk_c11 | inverse(sk_c10) = sk_c9 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 70.96/71.26 5 inverse(sk_c1) = sk_c11 | inverse(sk_c8) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 70.96/71.26 6 inverse(sk_c2) = sk_c10 | inverse(sk_c10) = sk_c9 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 70.96/71.26 9 inverse(sk_c3) = sk_c6 | inverse(sk_c10) = sk_c9 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 70.96/71.26 18 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c10) = sk_c9 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 70.96/71.26 20 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c8) = sk_c11 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 70.96/71.26 23 inverse(sk_c1) = sk_c11 | multiply(sk_c8,sk_c11) = sk_c9 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 70.96/71.26 24 multiply(sk_c2,sk_c10) = sk_c9 | inverse(sk_c10) = sk_c9 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 70.96/71.26 30 multiply(sk_c3,sk_c6) = sk_c11 | inverse(sk_c10) = sk_c9 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 70.96/71.26 33 inverse(sk_c3) = sk_c6 | multiply(sk_c10,sk_c9) = sk_c11 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 70.96/71.26 50 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c8,sk_c11) = sk_c9 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 70.96/71.26 54 multiply(sk_c3,sk_c6) = sk_c11 | multiply(sk_c10,sk_c9) = sk_c11 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 70.96/71.26 63 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 70.96/71.26 64 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(V6,sk_c10) != sk_c11 | inverse(V6) != sk_c10 | multiply(V7,sk_c11) != sk_c9 | inverse(V7) != sk_c11 # label(prove_this_61) # label(negated_conjecture). [assumption].
% 70.96/71.26 69 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(V6,sk_c10) != sk_c11 | inverse(V6) != sk_c10 | multiply(A,sk_c11) != sk_c9. [factor(64,b,p)].
% 70.96/71.26 130 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(B,sk_c10) != sk_c11 | multiply(A,sk_c11) != sk_c9. [factor(69,d,n)].
% 70.96/71.26 339 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(D) != D | multiply(C,D) != D | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(B,sk_c10) != sk_c11 | multiply(A,sk_c11) != sk_c9. [factor(130,f,h)].
% 70.96/71.26 659 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,C) != sk_c11 | inverse(C) != C | multiply(C,sk_c10) != sk_c11 | multiply(C,C) != C | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(B,sk_c10) != sk_c11 | multiply(A,sk_c11) != sk_c9. [factor(339,f,h)].
% 70.96/71.26 857 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(B,B) != sk_c11 | inverse(B) != B | multiply(B,sk_c10) != sk_c11 | multiply(B,B) != B | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(A,sk_c11) != sk_c9. [factor(659,g,k)].
% 70.96/71.26 892 inverse(sk_c10) = sk_c9 | multiply(sk_c11,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 70.96/71.26 894 inverse(sk_c8) = sk_c11 | multiply(sk_c11,sk_c1) = identity. [para(5(a,1),2(a,1,1))].
% 70.96/71.26 895 inverse(sk_c10) = sk_c9 | multiply(sk_c10,sk_c2) = identity. [para(6(a,1),2(a,1,1))].
% 70.96/71.26 898 inverse(sk_c10) = sk_c9 | multiply(sk_c6,sk_c3) = identity. [para(9(a,1),2(a,1,1))].
% 70.96/71.26 907 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),63(a,1,1)),rewrite([1(2)]),flip(a)].
% 70.96/71.26 912 inverse(sk_c8) = sk_c11 | multiply(sk_c1,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(20(a,1),63(a,1,1)),flip(b)].
% 70.96/71.26 918 inverse(sk_c1) = sk_c11 | multiply(sk_c8,multiply(sk_c11,A)) = multiply(sk_c9,A). [para(23(b,1),63(a,1,1)),flip(b)].
% 70.96/71.26 99523 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),907(a,1,2))].
% 70.96/71.26 99724 inverse(sk_c10) = sk_c9 | multiply(inverse(sk_c11),identity) = sk_c1. [para(892(b,1),907(a,1,2))].
% 70.96/71.26 99725 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(907(a,1),907(a,1,2))].
% 70.96/71.26 100178 multiply(A,identity) = A. [back_rewrite(99523),rewrite([99725(4)])].
% 70.96/71.26 100532 inverse(sk_c10) = sk_c9 | inverse(sk_c11) = sk_c1. [back_rewrite(99724),rewrite([100178(8)])].
% 70.96/71.26 100827 inverse(identity) = identity. [para(100178(a,1),2(a,1))].
% 70.96/71.26 100910 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | identity != sk_c10 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | multiply(A,sk_c11) != sk_c9. [para(100178(a,1),857(e,1)),rewrite([1(10),100827(12),100827(18),1(22),100178(25)]),flip(c),flip(g),xx(f),xx(h)].
% 70.96/71.26 101747 inverse(sk_c10) = sk_c9 | multiply(sk_c1,sk_c11) = identity. [para(100532(b,1),2(a,1,1))].
% 70.96/71.26 101783 inverse(sk_c8) = sk_c11 | inverse(sk_c11) = sk_c1. [para(894(b,1),907(a,1,2)),rewrite([100178(8)])].
% 70.96/71.26 101784 inverse(sk_c11) = sk_c1 | multiply(sk_c11,sk_c8) = identity. [para(101783(a,1),2(a,1,1))].
% 70.96/71.26 101787 inverse(sk_c10) = sk_c9 | inverse(sk_c10) = sk_c2. [para(895(b,1),907(a,1,2)),rewrite([100178(8)])].
% 70.96/71.26 101808 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | sk_c9 != sk_c10 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | identity != sk_c9. [para(2(a,1),100910(i,1)),rewrite([2(4)]),merge(d)].
% 70.96/71.26 101824 inverse(sk_c10) = sk_c9 | multiply(sk_c2,sk_c10) = identity. [para(101787(b,1),2(a,1,1))].
% 70.96/71.26 101835 inverse(sk_c10) = sk_c9 | inverse(sk_c6) = sk_c3. [para(898(b,1),907(a,1,2)),rewrite([100178(8)])].
% 70.96/71.26 101858 inverse(sk_c10) = sk_c9 | multiply(sk_c3,sk_c6) = identity. [para(101835(b,1),2(a,1,1))].
% 70.96/71.26 102792 multiply(A,inverse(A)) = identity. [para(99725(a,1),2(a,1))].
% 70.96/71.26 104992 inverse(inverse(A)) = A. [para(99725(a,1),100178(a,1)),rewrite([100178(2)]),flip(a)].
% 70.96/71.26 105151 identity != sk_c10 | sk_c9 != sk_c10 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | identity != sk_c9. [back_rewrite(101808),rewrite([104992(6)]),xx(b)].
% 70.96/71.26 108046 inverse(sk_c8) = sk_c11 | multiply(sk_c10,inverse(sk_c11)) = sk_c1. [para(102792(a,1),912(b,1,2)),rewrite([100178(7)]),flip(b)].
% 70.96/71.26 108200 inverse(sk_c10) = sk_c9 | identity = sk_c10. [para(101747(b,1),18(a,1)),merge(c)].
% 70.96/71.26 108205 identity = sk_c10 | inverse(sk_c9) = sk_c10. [para(108200(a,1),104992(a,1,1))].
% 70.96/71.26 108298 inverse(sk_c10) = sk_c9 | identity = sk_c9. [para(101824(b,1),24(a,1)),merge(c)].
% 70.96/71.26 108398 inverse(sk_c1) = sk_c11 | multiply(sk_c9,inverse(sk_c11)) = sk_c8. [para(102792(a,1),918(b,1,2)),rewrite([100178(7)]),flip(b)].
% 70.96/71.26 108432 inverse(sk_c10) = sk_c9 | identity = sk_c11. [para(101858(b,1),30(a,1)),merge(c)].
% 70.96/71.26 108437 identity = sk_c11 | multiply(sk_c10,sk_c9) = identity. [para(108432(a,1),102792(a,1,2))].
% 70.96/71.26 108495 identity = sk_c11 | inverse(sk_c3) = sk_c6. [para(108437(b,1),33(b,1)),merge(c)].
% 70.96/71.26 108544 identity = sk_c11 | multiply(sk_c3,sk_c6) = identity. [para(108495(b,1),102792(a,1,2))].
% 70.96/71.26 109933 identity = sk_c11 | multiply(sk_c10,sk_c9) = sk_c11. [para(108544(b,1),54(a,1)),merge(b)].
% 70.96/71.26 116148 identity = sk_c11. [para(109933(b,1),108437(b,1)),flip(c),merge(b),merge(c)].
% 70.96/71.26 116810 inverse(sk_c10) = sk_c9 | sk_c9 = sk_c11. [back_rewrite(108298),rewrite([116148(5)]),flip(b)].
% 70.96/71.26 116833 sk_c11 = sk_c10 | inverse(sk_c9) = sk_c10. [back_rewrite(108205),rewrite([116148(1)])].
% 70.96/71.26 117067 sk_c11 != sk_c10 | sk_c9 != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9 | sk_c9 != sk_c11. [back_rewrite(105151),rewrite([116148(1),116148(7),116148(22)]),flip(g),xx(c),merge(c)].
% 70.96/71.26 117187 inverse(sk_c11) = sk_c1 | multiply(sk_c11,sk_c8) = sk_c11. [back_rewrite(101784),rewrite([116148(8)])].
% 70.96/71.26 117204 inverse(sk_c11) = sk_c11. [back_rewrite(100827),rewrite([116148(1),116148(3)])].
% 70.96/71.26 117205 multiply(A,sk_c11) = A. [back_rewrite(100178),rewrite([116148(1)])].
% 70.96/71.26 117222 multiply(sk_c11,A) = A. [back_rewrite(1),rewrite([116148(1)])].
% 70.96/71.26 117291 sk_c1 = sk_c11 | sk_c8 = sk_c11. [back_rewrite(117187),rewrite([117204(2),117222(6)]),flip(a)].
% 70.96/71.26 117413 inverse(sk_c1) = sk_c11 | sk_c8 = sk_c9. [back_rewrite(108398),rewrite([117204(7),117205(7)]),flip(b)].
% 70.96/71.26 117419 inverse(sk_c8) = sk_c11 | sk_c1 = sk_c10. [back_rewrite(108046),rewrite([117204(7),117205(7)]),flip(b)].
% 70.96/71.26 120793 sk_c1 = sk_c10 | sk_c8 = sk_c9. [back_rewrite(50),rewrite([117205(3),117205(6)])].
% 70.96/71.26 122378 sk_c8 = sk_c9 | sk_c1 = sk_c11. [para(117413(a,1),104992(a,1,1)),rewrite([117204(5)]),flip(b)].
% 70.96/71.26 122380 sk_c8 = sk_c9 | sk_c11 = sk_c10. [para(122378(b,1),120793(a,1)),merge(c)].
% 70.96/71.26 122412 sk_c1 = sk_c10 | sk_c8 = sk_c11. [para(117419(a,1),104992(a,1,1)),rewrite([117204(5)]),flip(b)].
% 70.96/71.26 122418 sk_c8 = sk_c11 | sk_c11 = sk_c10. [para(122412(a,1),117291(a,1)),flip(b),merge(c)].
% 70.96/71.26 122419 sk_c11 = sk_c10 | sk_c9 = sk_c11. [para(122418(a,1),122380(a,1)),flip(b),merge(c)].
% 70.96/71.26 122489 sk_c11 = sk_c10. [para(122419(b,1),116833(b,1,1)),rewrite([117204(8)]),merge(b),merge(c)].
% 70.96/71.26 124087 multiply(sk_c10,A) = A. [back_rewrite(117222),rewrite([122489(1)])].
% 70.96/71.26 124102 inverse(sk_c10) = sk_c10. [back_rewrite(117204),rewrite([122489(1),122489(3)])].
% 70.96/71.26 124124 sk_c9 != sk_c10. [back_rewrite(117067),rewrite([122489(1),124087(9),122489(8),124102(11),122489(14)]),flip(d),xx(a),merge(b),merge(c),merge(d)].
% 70.96/71.26 124132 $F. [back_rewrite(116810),rewrite([124102(2),122489(5)]),flip(a),merge(b),unit_del(a,124124)].
% 70.96/71.26
% 70.96/71.26 % SZS output end Refutation
% 70.96/71.26 ============================== end of proof ==========================
% 70.96/71.26
% 70.96/71.26 ============================== STATISTICS ============================
% 70.96/71.26
% 70.96/71.26 Given=1296. Generated=626417. Kept=124131. proofs=1.
% 70.96/71.26 Usable=123. Sos=533. Demods=14. Limbo=1643, Disabled=121896. Hints=0.
% 70.96/71.26 Megabytes=181.83.
% 70.96/71.26 User_CPU=69.82, System_CPU=0.42, Wall_clock=70.
% 70.96/71.26
% 70.96/71.26 ============================== end of statistics =====================
% 70.96/71.26
% 70.96/71.26 ============================== end of search =========================
% 70.96/71.26
% 70.96/71.26 THEOREM PROVED
% 70.96/71.26 % SZS status Unsatisfiable
% 70.96/71.26
% 70.96/71.26 Exiting with 1 proof.
% 70.96/71.26
% 70.96/71.26 Process 6150 exit (max_proofs) Mon Jun 13 16:22:48 2022
% 70.96/71.26 Prover9 interrupted
%------------------------------------------------------------------------------