TSTP Solution File: GRP232-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP232-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:18:15 EDT 2022
% Result : Unsatisfiable 85.44s 85.71s
% Output : Refutation 85.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP232-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 00:09:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 4.36/4.68 ============================== Prover9 ===============================
% 4.36/4.68 Prover9 (32) version 2009-11A, November 2009.
% 4.36/4.68 Process 3217 was started by sandbox2 on n027.cluster.edu,
% 4.36/4.68 Tue Jun 14 00:09:03 2022
% 4.36/4.68 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3062_n027.cluster.edu".
% 4.36/4.68 ============================== end of head ===========================
% 4.36/4.68
% 4.36/4.68 ============================== INPUT =================================
% 4.36/4.68
% 4.36/4.68 % Reading from file /tmp/Prover9_3062_n027.cluster.edu
% 4.36/4.68
% 4.36/4.68 set(prolog_style_variables).
% 4.36/4.68 set(auto2).
% 4.36/4.68 % set(auto2) -> set(auto).
% 4.36/4.68 % set(auto) -> set(auto_inference).
% 4.36/4.68 % set(auto) -> set(auto_setup).
% 4.36/4.68 % set(auto_setup) -> set(predicate_elim).
% 4.36/4.68 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.36/4.68 % set(auto) -> set(auto_limits).
% 4.36/4.68 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.36/4.68 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.36/4.68 % set(auto) -> set(auto_denials).
% 4.36/4.68 % set(auto) -> set(auto_process).
% 4.36/4.68 % set(auto2) -> assign(new_constants, 1).
% 4.36/4.68 % set(auto2) -> assign(fold_denial_max, 3).
% 4.36/4.68 % set(auto2) -> assign(max_weight, "200.000").
% 4.36/4.68 % set(auto2) -> assign(max_hours, 1).
% 4.36/4.68 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.36/4.68 % set(auto2) -> assign(max_seconds, 0).
% 4.36/4.68 % set(auto2) -> assign(max_minutes, 5).
% 4.36/4.68 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.36/4.68 % set(auto2) -> set(sort_initial_sos).
% 4.36/4.68 % set(auto2) -> assign(sos_limit, -1).
% 4.36/4.68 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.36/4.68 % set(auto2) -> assign(max_megs, 400).
% 4.36/4.68 % set(auto2) -> assign(stats, some).
% 4.36/4.68 % set(auto2) -> clear(echo_input).
% 4.36/4.68 % set(auto2) -> set(quiet).
% 4.36/4.68 % set(auto2) -> clear(print_initial_clauses).
% 4.36/4.68 % set(auto2) -> clear(print_given).
% 4.36/4.68 assign(lrs_ticks,-1).
% 4.36/4.68 assign(sos_limit,10000).
% 4.36/4.68 assign(order,kbo).
% 4.36/4.68 set(lex_order_vars).
% 4.36/4.68 clear(print_given).
% 4.36/4.68
% 4.36/4.68 % formulas(sos). % not echoed (34 formulas)
% 4.36/4.68
% 4.36/4.68 ============================== end of input ==========================
% 4.36/4.68
% 4.36/4.68 % From the command line: assign(max_seconds, 300).
% 4.36/4.68
% 4.36/4.68 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.36/4.68
% 4.36/4.68 % Formulas that are not ordinary clauses:
% 4.36/4.68
% 4.36/4.68 ============================== end of process non-clausal formulas ===
% 4.36/4.68
% 4.36/4.68 ============================== PROCESS INITIAL CLAUSES ===============
% 4.36/4.68
% 4.36/4.68 ============================== PREDICATE ELIMINATION =================
% 4.36/4.68
% 4.36/4.68 ============================== end predicate elimination =============
% 4.36/4.68
% 4.36/4.68 Auto_denials: (non-Horn, no changes).
% 4.36/4.68
% 4.36/4.68 Term ordering decisions:
% 4.36/4.68
% 4.36/4.68 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 4.36/4.68 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c6=1. sk_c1=1. sk_c2=1. identity=1. multiply=1. inverse=0.
% 4.36/4.68
% 4.36/4.68 ============================== end of process initial clauses ========
% 4.36/4.68
% 4.36/4.68 ============================== CLAUSES FOR SEARCH ====================
% 4.36/4.68
% 4.36/4.68 ============================== end of clauses for search =============
% 4.36/4.68
% 4.36/4.68 ============================== SEARCH ================================
% 4.36/4.68
% 4.36/4.68 % Starting search at 0.05 seconds.
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=52.000, iters=3348
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=51.000, iters=3334
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=49.000, iters=3420
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=48.000, iters=3371
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=47.000, iters=3340
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=46.000, iters=3359
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=45.000, iters=3586
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=44.000, iters=3476
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=43.000, iters=3399
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=42.000, iters=3342
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=41.000, iters=3432
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=40.000, iters=3376
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=39.000, iters=3344
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=38.000, iters=3405
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=36.000, iters=3342
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=35.000, iters=3390
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=34.000, iters=3472
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=33.000, iters=3359
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=32.000, iters=3357
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=31.000, iters=3344
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=30.000, iters=3344
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=29.000, iters=3375
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=28.000, iters=3334
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=27.000, iters=3343
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=26.000, iters=3335
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=25.000, iters=3370
% 4.36/4.68
% 4.36/4.68 Low Water (keep): wt=24.000, iters=3350
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=23.000, iters=3355
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=22.000, iters=3370
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=20.000, iters=3341
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=18.000, iters=3345
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=16.000, iters=3334
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14893, wt=58.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14608, wt=57.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14922, wt=43.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14923, wt=40.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14928, wt=34.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=14943, wt=14.000
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=15000, wt=12.000
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=15.000, iters=3335
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=18451, wt=11.000
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=14.000, iters=3339
% 85.44/85.71
% 85.44/85.71 Low Water (displace): id=21871, wt=10.000
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=13.000, iters=3334
% 85.44/85.71
% 85.44/85.71 Low Water (keep): wt=12.000, iters=3333
% 85.44/85.71
% 85.44/85.71 ============================== PROOF =================================
% 85.44/85.71 % SZS status Unsatisfiable
% 85.44/85.71 % SZS output start Refutation
% 85.44/85.71
% 85.44/85.71 % Proof 1 at 82.50 (+ 2.21) seconds.
% 85.44/85.71 % Length of proof is 189.
% 85.44/85.71 % Level of proof is 31.
% 85.44/85.71 % Maximum clause weight is 50.000.
% 85.44/85.71 % Given clauses 6333.
% 85.44/85.71
% 85.44/85.71 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 85.44/85.71 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 85.44/85.71 3 inverse(sk_c8) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 85.44/85.71 4 inverse(sk_c8) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 85.44/85.71 5 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 85.44/85.71 6 inverse(sk_c1) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 85.44/85.71 7 inverse(sk_c2) = sk_c3 | inverse(sk_c4) = sk_c8 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 85.44/85.71 8 inverse(sk_c2) = sk_c3 | inverse(sk_c5) = sk_c8 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 85.44/85.71 9 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 85.44/85.71 10 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 85.44/85.71 11 inverse(sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 85.44/85.71 12 multiply(sk_c1,sk_c8) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 85.44/85.71 13 multiply(sk_c1,sk_c8) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 85.44/85.71 14 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 85.44/85.71 15 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 85.44/85.71 16 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 85.44/85.71 17 multiply(sk_c2,sk_c3) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 85.44/85.71 18 multiply(sk_c2,sk_c3) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 85.44/85.71 24 multiply(sk_c1,sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 85.44/85.71 25 multiply(sk_c1,sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 85.44/85.71 26 multiply(sk_c1,sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 85.44/85.71 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 85.44/85.71 34 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,C) != sk_c8 | inverse(B) != C | multiply(C,sk_c7) != sk_c8 | inverse(D) != sk_c8 | multiply(D,sk_c7) != sk_c8 | multiply(sk_c8,E) != sk_c7 | multiply(F,sk_c8) != E | inverse(F) != sk_c8 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 85.44/85.71 141 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c4) = identity. [para(3(b,1),2(a,1,1))].
% 85.44/85.71 142 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c5) = identity. [para(4(b,1),2(a,1,1))].
% 85.44/85.71 147 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 85.44/85.71 149 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c8). [para(9(b,1),33(a,2,2)),rewrite([33(8)])].
% 85.44/85.71 151 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(10(b,1),33(a,2,2)),rewrite([33(8)])].
% 85.44/85.71 153 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(11(b,1),33(a,2,2)),rewrite([33(8)])].
% 85.44/85.71 158 inverse(sk_c1) = sk_c8 | multiply(sk_c4,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(14(b,1),33(a,1,1)),flip(b)].
% 85.44/85.71 161 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(15(b,1),33(a,2,2)),rewrite([33(8)])].
% 85.44/85.71 167 inverse(sk_c5) = sk_c8 | multiply(A,multiply(sk_c2,sk_c3)) = multiply(A,sk_c8). [para(18(a,1),33(a,2,2)),rewrite([33(8)])].
% 85.44/85.71 178 multiply(sk_c4,sk_c7) = sk_c8 | multiply(sk_c1,multiply(sk_c8,A)) = multiply(sk_c7,A). [para(24(a,1),33(a,1,1)),flip(b)].
% 85.44/85.71 181 multiply(sk_c8,sk_c6) = sk_c7 | multiply(A,multiply(sk_c1,sk_c8)) = multiply(A,sk_c7). [para(25(a,1),33(a,2,2)),rewrite([33(9)])].
% 85.44/85.71 238 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,C) != sk_c8 | inverse(B) != C | multiply(C,sk_c7) != sk_c8 | inverse(D) != sk_c8 | multiply(D,sk_c7) != sk_c8 | multiply(sk_c8,E) != sk_c7 | sk_c8 != E | inverse(identity) != sk_c8. [para(1(a,1),34(j,1))].
% 85.44/85.71 239 inverse(sk_c8) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c8)) != sk_c8 | multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | multiply(sk_c8,D) != sk_c7 | multiply(E,sk_c8) != D | inverse(E) != sk_c8. [para(2(a,1),34(b,1))].
% 85.44/85.71 240 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | inverse(inverse(B)) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | multiply(sk_c8,D) != sk_c7 | multiply(E,sk_c8) != D | inverse(E) != sk_c8. [para(2(a,1),34(d,1))].
% 85.44/85.71 598 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,C) != sk_c8 | inverse(B) != C | multiply(C,sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,D) != sk_c7 | sk_c8 != D | inverse(identity) != sk_c8. [factor(238,c,g)].
% 85.44/85.71 605 inverse(sk_c8) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c8)) != sk_c8 | multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | multiply(sk_c8,D) != sk_c7 | identity != D. [factor(239,c,k),rewrite([2(36)])].
% 85.44/85.71 615 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | inverse(inverse(B)) != B | multiply(B,sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,C) != sk_c7 | multiply(D,sk_c8) != C | inverse(D) != sk_c8. [factor(240,c,g)].
% 85.44/85.71 1544 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,A) != sk_c8 | inverse(B) != A | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,C) != sk_c7 | sk_c8 != C | inverse(identity) != sk_c8. [factor(598,f,g)].
% 85.44/85.71 1567 inverse(sk_c8) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c8)) != sk_c8 | multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(B) != sk_c8 | multiply(sk_c8,C) != sk_c7 | identity != C. [factor(605,f,h)].
% 85.44/85.71 1587 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | inverse(inverse(A)) != A | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8. [factor(615,f,g)].
% 85.44/85.71 2548 inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8 | inverse(identity) != sk_c8 | multiply(A,identity) != sk_c8 | inverse(A) != identity | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [factor(1544,c,i),rewrite([1(7),1(21)]),flip(b),merge(f)].
% 85.44/85.71 3378 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),147(a,1,2))].
% 85.44/85.71 3385 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c6. [para(10(b,1),147(a,1,2))].
% 85.44/85.71 3401 multiply(sk_c5,sk_c8) = sk_c6 | multiply(inverse(sk_c1),sk_c7) = sk_c8. [para(26(a,1),147(a,1,2))].
% 85.44/85.71 3429 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),identity) = sk_c4. [para(141(b,1),147(a,1,2))].
% 85.44/85.71 3430 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(147(a,1),147(a,1,2))].
% 85.44/85.71 3443 multiply(A,identity) = A. [back_rewrite(3378),rewrite([3430(4)])].
% 85.44/85.71 3444 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c4. [back_rewrite(3429),rewrite([3443(8)])].
% 85.44/85.71 3448 inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8 | inverse(identity) != sk_c8 | sk_c8 != A | inverse(A) != identity | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [back_rewrite(2548),rewrite([3443(13)]),flip(d)].
% 85.44/85.71 3509 inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8 | inverse(identity) != sk_c8 | sk_c8 != A | inverse(A) != identity | multiply(sk_c8,A) != sk_c7. [factor(3448,d,g)].
% 85.44/85.71 3525 inverse(identity) = identity. [para(3443(a,1),2(a,1))].
% 85.44/85.71 3598 inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8 | identity != sk_c8 | sk_c8 != A | inverse(A) != identity | multiply(sk_c8,A) != sk_c7. [back_rewrite(3509),rewrite([3525(9)])].
% 85.44/85.71 3677 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c5. [para(142(b,1),147(a,1,2)),rewrite([3443(8)])].
% 85.44/85.71 3679 inverse(sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = identity. [para(3677(b,1),2(a,1,1))].
% 85.44/85.71 3681 inverse(sk_c8) = sk_c7 | sk_c5 = sk_c4. [para(3677(b,1),3444(b,1)),merge(b)].
% 85.44/85.71 3682 sk_c5 = sk_c4 | multiply(sk_c7,sk_c8) = identity. [para(3681(a,1),2(a,1,1))].
% 85.44/85.71 3791 sk_c5 = sk_c4 | inverse(sk_c7) = sk_c8. [para(3682(b,1),147(a,1,2)),rewrite([3443(7)])].
% 85.44/85.71 3885 inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8 | identity != sk_c8. [para(3443(a,1),3598(f,1)),rewrite([3525(15)]),flip(d),flip(f),xx(e),merge(d),merge(e)].
% 85.44/85.71 4177 multiply(A,inverse(A)) = identity. [para(3430(a,1),2(a,1))].
% 85.44/85.71 4364 multiply(A,multiply(inverse(A),B)) = B. [para(3430(a,1),147(a,1))].
% 85.44/85.71 4365 inverse(inverse(A)) = A. [para(3430(a,1),3443(a,1)),rewrite([3443(2)]),flip(a)].
% 85.44/85.71 4525 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8. [back_rewrite(1587),rewrite([4365(16)]),xx(e)].
% 85.44/85.71 4539 inverse(sk_c8) != sk_c7 | identity != sk_c7 | multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(B) != sk_c8 | multiply(sk_c8,C) != sk_c7 | identity != C. [back_rewrite(1567),rewrite([4365(10)]),xx(c)].
% 85.44/85.71 4614 inverse(sk_c4) = sk_c8 | multiply(sk_c1,sk_c8) = identity. [para(5(a,1),4177(a,1,2))].
% 85.44/85.71 4615 inverse(sk_c5) = sk_c8 | multiply(sk_c1,sk_c8) = identity. [para(6(a,1),4177(a,1,2))].
% 85.44/85.71 4616 inverse(sk_c4) = sk_c8 | multiply(sk_c2,sk_c3) = identity. [para(7(a,1),4177(a,1,2))].
% 85.44/85.71 4617 inverse(sk_c5) = sk_c8 | multiply(sk_c2,sk_c3) = identity. [para(8(a,1),4177(a,1,2))].
% 85.44/85.71 4618 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(4177(a,1),33(a,1)),flip(a)].
% 85.44/85.71 4883 inverse(sk_c8) = sk_c7 | identity = sk_c6. [para(3679(b,1),11(b,1)),merge(b)].
% 85.44/85.71 5132 inverse(sk_c8) = sk_c7 | multiply(A,sk_c6) = A. [para(3679(b,1),153(b,1,2)),rewrite([3443(10)]),flip(c),merge(b)].
% 85.44/85.71 5290 inverse(sk_c4) = sk_c8 | identity = sk_c7. [para(4614(b,1),12(a,1)),merge(c)].
% 85.44/85.71 5292 identity = sk_c7 | multiply(sk_c8,sk_c4) = identity. [para(5290(a,1),2(a,1,1))].
% 85.44/85.71 5294 identity = sk_c7 | inverse(sk_c8) = sk_c4. [para(5290(a,1),4365(a,1,1))].
% 85.44/85.71 5408 identity = sk_c7 | multiply(A,multiply(sk_c8,sk_c4)) = A. [para(5292(b,1),33(a,2,2)),rewrite([33(7),3443(9)])].
% 85.44/85.71 5410 inverse(sk_c5) = sk_c8 | identity = sk_c7. [para(4615(b,1),13(a,1)),merge(c)].
% 85.44/85.71 5454 identity = sk_c7 | inverse(sk_c8) = sk_c5. [para(5410(a,1),4365(a,1,1))].
% 85.44/85.71 5462 identity = sk_c7 | sk_c5 = sk_c4. [para(5454(b,1),5294(b,1)),merge(b)].
% 85.44/85.71 5465 sk_c5 = sk_c4 | inverse(sk_c7) = identity. [para(5462(a,1),3525(a,1,1))].
% 85.44/85.71 5531 sk_c5 = sk_c4 | identity = sk_c8. [para(5465(b,1),3791(b,1)),merge(b)].
% 85.44/85.71 5535 sk_c5 = sk_c4 | inverse(sk_c8) = identity. [para(5531(b,1),3525(a,1,1))].
% 85.44/85.71 5595 sk_c5 = sk_c4 | inverse(sk_c8) = sk_c8. [para(5531(b,1),5535(b,2)),merge(b)].
% 85.44/85.71 5596 sk_c5 = sk_c4 | multiply(sk_c8,sk_c8) = identity. [para(5595(b,1),2(a,1,1))].
% 85.44/85.71 6314 sk_c5 = sk_c4 | multiply(sk_c8,sk_c8) = sk_c7. [para(5462(a,1),5596(b,2)),merge(b)].
% 85.44/85.71 6416 sk_c5 = sk_c4 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(6314(b,1),147(a,1,2))].
% 85.44/85.71 6524 inverse(sk_c4) = sk_c8 | identity = sk_c8. [para(4616(b,1),17(a,1)),merge(c)].
% 85.44/85.71 6529 identity = sk_c8 | inverse(sk_c8) = sk_c4. [para(6524(a,1),4365(a,1,1))].
% 85.44/85.71 6605 inverse(sk_c1) = sk_c8 | multiply(sk_c4,multiply(sk_c7,multiply(sk_c8,sk_c6))) = multiply(sk_c8,sk_c7). [para(161(b,1),158(b,2)),merge(b)].
% 85.44/85.71 7223 inverse(sk_c8) = sk_c7 | inverse(sk_c6) = identity. [para(5132(b,1),2(a,1))].
% 85.44/85.71 7304 inverse(sk_c5) = sk_c8 | multiply(A,sk_c8) = A. [para(4617(b,1),167(b,1,2)),rewrite([3443(10)]),flip(c),merge(b)].
% 85.44/85.71 7350 inverse(sk_c8) = sk_c7 | multiply(sk_c6,A) = A. [para(7223(b,1),147(a,1,1)),rewrite([1(8)])].
% 85.44/85.71 9672 multiply(sk_c4,sk_c7) = sk_c8 | multiply(inverse(sk_c1),multiply(sk_c7,A)) = multiply(sk_c8,A). [para(178(b,1),147(a,1,2))].
% 85.44/85.71 9793 inverse(sk_c5) = sk_c8 | sk_c1 = sk_c7. [para(7304(b,1),13(a,1)),merge(c)].
% 85.44/85.71 9830 sk_c1 = sk_c7 | multiply(sk_c5,sk_c8) = identity. [para(9793(a,1),4177(a,1,2))].
% 85.44/85.71 10198 multiply(sk_c8,sk_c6) = sk_c7 | multiply(A,multiply(B,multiply(sk_c1,sk_c8))) = multiply(A,multiply(B,sk_c7)). [para(181(b,1),33(a,1)),rewrite([33(8)]),flip(b)].
% 85.44/85.71 10417 sk_c1 = sk_c7 | inverse(sk_c1) = sk_c8 | identity = sk_c6. [para(9830(b,1),16(b,1))].
% 85.44/85.71 11040 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c6),A) = A. [para(7350(b,1),147(a,1,2))].
% 85.44/85.71 12166 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c6. [para(3444(b,1),3385(b,1,1)),merge(b)].
% 85.44/85.71 12205 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c4),sk_c6) = sk_c7. [para(12166(b,1),147(a,1,2))].
% 85.44/85.71 14541 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | multiply(sk_c8,B) != sk_c7 | identity != B. [para(2(a,1),4539(c,1)),rewrite([4365(12)]),xx(d)].
% 85.44/85.71 14555 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != identity. [para(4177(a,1),14541(f,1)),flip(g),merge(f)].
% 85.44/85.71 14936 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,multiply(B,sk_c7)) != sk_c8 | inverse(multiply(A,B)) != sk_c8 | inverse(sk_c8) != identity. [para(33(a,1),14555(d,1))].
% 85.44/85.71 14991 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,multiply(B,multiply(C,sk_c7))) != sk_c8 | inverse(multiply(A,multiply(B,C))) != sk_c8 | inverse(sk_c8) != identity. [para(33(a,1),14936(d,1,2))].
% 85.44/85.71 15594 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | sk_c8 != A | inverse(multiply(A,multiply(inverse(multiply(B,sk_c7)),B))) != sk_c8 | inverse(sk_c8) != identity. [para(2(a,1),14991(d,1,2)),rewrite([3443(12)]),flip(d)].
% 85.44/85.71 15596 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | sk_c8 != A | inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,sk_c7))),multiply(B,C)))) != sk_c8 | inverse(sk_c8) != identity. [para(33(a,1),15594(e,1,1,2,1,1))].
% 85.44/85.71 16015 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,B) != sk_c8 | inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,sk_c7))),multiply(C,D))))) != sk_c8 | inverse(sk_c8) != identity. [para(33(a,1),15596(e,1,1)),flip(d)].
% 85.44/85.71 16437 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(4618(a,1),147(a,1,2)),rewrite([3443(3)]),flip(a)].
% 85.44/85.71 16749 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(16437(a,1),147(a,1,2)),flip(a)].
% 85.44/85.71 17189 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,B) != sk_c8 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c8 | inverse(sk_c8) != identity. [back_rewrite(16015),rewrite([16749(17),16749(16),33(19),33(21),33(20),147(19),2(17),3443(17),16749(18),16749(17),4365(16),33(18)])].
% 85.44/85.71 18583 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(A,inverse(B)) != sk_c8 | multiply(sk_c7,multiply(B,inverse(A))) != sk_c8 | inverse(sk_c8) != identity. [para(4365(a,1),17189(e,1,2,1))].
% 85.44/85.71 18779 identity = sk_c7 | multiply(inverse(sk_c4),inverse(sk_c8)) = identity. [para(5408(b,1),2(a,1)),rewrite([16749(7)])].
% 85.44/85.71 18783 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(inverse(A),inverse(B)) != sk_c8 | multiply(sk_c7,multiply(B,A)) != sk_c8 | inverse(sk_c8) != identity. [para(4365(a,1),18583(e,1,2,2))].
% 85.44/85.71 18910 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(inverse(A),multiply(inverse(B),inverse(C))) != sk_c8 | multiply(sk_c7,multiply(C,multiply(B,A))) != sk_c8 | inverse(sk_c8) != identity. [para(33(a,1),18783(e,1,2)),rewrite([16749(13)])].
% 85.44/85.71 20309 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c7)) != sk_c8 | multiply(B,A) != sk_c8 | inverse(sk_c8) != identity. [para(4364(a,1),18910(e,1)),rewrite([4365(15)])].
% 85.44/85.71 20310 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(inverse(A),multiply(B,sk_c7)) != sk_c8 | multiply(inverse(B),A) != sk_c8 | inverse(sk_c8) != identity. [para(4365(a,1),20309(d,1,2,1))].
% 85.44/85.71 20663 sk_c1 = sk_c7 | identity = sk_c6 | inverse(sk_c8) = sk_c1. [para(10417(b,1),4365(a,1,1))].
% 85.44/85.71 20939 inverse(sk_c8) = sk_c7 | inverse(sk_c4) = sk_c7. [para(12205(b,1),5132(b,1)),flip(c),merge(b)].
% 85.44/85.71 20943 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = identity. [para(20939(b,1),4177(a,1,2))].
% 85.44/85.71 20955 inverse(sk_c8) = sk_c7 | identity = sk_c8. [para(20943(b,1),9(b,1)),merge(b)].
% 85.44/85.71 20958 inverse(sk_c8) = sk_c7 | multiply(A,sk_c8) = A. [para(20943(b,1),149(b,1,2)),rewrite([3443(10)]),flip(c),merge(b)].
% 85.44/85.71 20967 identity = sk_c8 | sk_c4 = sk_c7. [para(20955(a,1),6529(b,1)),flip(c),merge(b)].
% 85.44/85.71 21529 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = identity. [para(20958(b,1),2(a,1))].
% 85.44/85.71 21564 inverse(sk_c8) = sk_c7 | inverse(sk_c6) = sk_c8. [para(20958(b,1),11040(b,1)),merge(b)].
% 85.44/85.71 21639 inverse(sk_c8) = sk_c7 | multiply(sk_c8,A) = A. [para(21529(b,1),147(a,1,1)),rewrite([1(8)])].
% 85.44/85.71 21678 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = identity. [para(21564(b,1),2(a,1,1))].
% 85.44/85.71 22516 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),A) = A. [para(21639(b,1),147(a,1,2))].
% 85.44/85.71 22719 inverse(sk_c8) = sk_c7 | identity = sk_c7. [para(21678(b,1),10(b,1)),merge(b)].
% 85.44/85.71 22723 inverse(sk_c8) = sk_c7 | multiply(A,sk_c7) = A. [para(21678(b,1),151(b,1,2)),rewrite([3443(10)]),flip(c),merge(b)].
% 85.44/85.71 22731 identity = sk_c7 | sk_c4 = sk_c7. [para(22719(a,1),5294(b,1)),flip(c),merge(b)].
% 85.44/85.71 22744 sk_c4 = sk_c7 | inverse(sk_c7) = identity. [para(22731(a,1),3525(a,1,1))].
% 85.44/85.71 23291 sk_c4 = sk_c7 | inverse(sk_c7) = sk_c7. [para(22731(a,1),22744(b,2)),merge(b)].
% 85.44/85.71 23764 sk_c4 = sk_c7 | multiply(sk_c7,sk_c7) = identity. [para(23291(b,1),2(a,1,1))].
% 85.44/85.71 23970 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [para(1(a,1),4525(g,1)),rewrite([3525(26)]),merge(h)].
% 85.44/85.71 23976 inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [resolve(23970,f,4364,a),flip(f)].
% 85.44/85.71 23980 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [factor(23976,e,f),rewrite([2(8),4365(10)]),xx(c)].
% 85.44/85.71 23982 inverse(sk_c8) != sk_c7 | identity != sk_c7 | identity != sk_c8 | sk_c5 = sk_c4. [resolve(23980,d,6416,b)].
% 85.44/85.71 24249 sk_c4 = sk_c7 | multiply(sk_c7,sk_c7) = sk_c8. [para(20967(a,1),23764(b,2)),merge(b)].
% 85.44/85.71 27930 identity = sk_c7 | multiply(inverse(sk_c4),sk_c7) = identity. [para(22719(a,1),18779(b,1,2)),merge(b)].
% 85.44/85.71 29549 sk_c1 = sk_c7 | identity = sk_c6. [para(20663(c,1),4883(a,1)),merge(c),merge(d)].
% 85.44/85.71 29552 sk_c1 = sk_c7 | inverse(sk_c6) = identity. [para(29549(b,1),3525(a,1,1))].
% 85.44/85.71 31681 inverse(sk_c8) = sk_c7. [para(22516(b,1),22723(b,1)),flip(c),merge(b),merge(c)].
% 85.44/85.71 33433 identity != sk_c7 | identity != sk_c8 | sk_c5 = sk_c4. [back_rewrite(23982),rewrite([31681(2)]),xx(a)].
% 85.44/85.71 33435 identity != sk_c7 | identity != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8. [back_rewrite(23980),rewrite([31681(2),31681(11)]),xx(a)].
% 85.44/85.71 33680 identity != sk_c7 | identity != sk_c8 | multiply(inverse(A),multiply(B,sk_c7)) != sk_c8 | multiply(inverse(B),A) != sk_c8. [back_rewrite(20310),rewrite([31681(2),31681(21)]),flip(f),xx(a),merge(e)].
% 85.44/85.71 34418 sk_c7 != sk_c8 | identity != sk_c8. [back_rewrite(3885),rewrite([31681(2)]),xx(a)].
% 85.44/85.71 35368 multiply(sk_c7,sk_c8) = identity. [para(31681(a,1),2(a,1,1))].
% 85.44/85.71 35369 multiply(sk_c7,multiply(sk_c8,A)) = A. [para(31681(a,1),147(a,1,1))].
% 85.44/85.71 35370 inverse(sk_c7) = sk_c8. [para(31681(a,1),4365(a,1,1))].
% 85.44/85.71 35371 multiply(sk_c8,sk_c7) = identity. [para(31681(a,1),4177(a,1,2))].
% 85.44/85.71 35372 multiply(sk_c8,multiply(sk_c7,A)) = A. [para(31681(a,1),4364(a,1,2,1))].
% 85.44/85.71 35396 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c6) = identity. [back_rewrite(6605),rewrite([35369(10),35371(10)])].
% 85.44/85.71 35727 identity != sk_c7 | identity != sk_c8 | sk_c4 = sk_c7. [resolve(33435,c,24249,b)].
% 85.44/85.71 35968 multiply(sk_c5,sk_c8) = sk_c6 | multiply(sk_c8,sk_c1) = sk_c7. [para(3401(b,1),16749(a,1,1)),rewrite([31681(7),35370(8),4365(10)]),flip(b)].
% 85.44/85.71 36076 identity != sk_c7 | identity != sk_c8 | multiply(sk_c8,multiply(A,sk_c7)) != sk_c8 | multiply(inverse(A),sk_c7) != sk_c8. [para(35370(a,1),33680(c,1,1))].
% 85.44/85.71 36200 identity != sk_c8 | sk_c5 = sk_c4. [resolve(33433,a,5462,a),merge(c)].
% 85.44/85.71 36203 sk_c5 = sk_c4. [resolve(36200,a,5531,b),merge(b)].
% 85.44/85.71 36208 multiply(sk_c4,sk_c8) = sk_c6 | multiply(sk_c8,sk_c1) = sk_c7. [back_rewrite(35968),rewrite([36203(1)])].
% 85.44/85.71 36478 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c6. [back_rewrite(16),rewrite([36203(5)])].
% 85.44/85.71 38061 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c6. [para(35396(b,1),147(a,1,2)),rewrite([3443(8)])].
% 85.44/85.71 38086 inverse(sk_c4) = sk_c6 | sk_c1 = sk_c7. [para(38061(a,1),4365(a,1,1)),rewrite([31681(6)]),flip(b)].
% 85.44/85.71 38416 sk_c1 = sk_c7 | inverse(sk_c6) = sk_c4. [para(38086(a,1),4365(a,1,1))].
% 85.44/85.71 38494 sk_c1 = sk_c7 | identity = sk_c4. [para(38416(b,1),29552(b,1)),flip(c),merge(b)].
% 85.44/85.71 38539 sk_c1 = sk_c7 | inverse(sk_c4) = identity. [para(38494(b,1),3525(a,1,1))].
% 85.44/85.71 38663 sk_c1 = sk_c7 | identity = sk_c8. [para(38539(b,1),6524(a,1)),merge(c)].
% 85.44/85.71 38666 sk_c1 = sk_c7 | identity = sk_c7. [para(38539(b,1),27930(b,1,1)),rewrite([1(9)]),flip(c),merge(c)].
% 85.44/85.71 38712 sk_c1 = sk_c7 | multiply(sk_c7,A) = A. [para(38666(b,1),1(a,1,1))].
% 85.44/85.71 39639 sk_c1 = sk_c7 | identity != sk_c7 | identity != sk_c8. [para(38712(b,1),36076(c,1,2)),rewrite([35371(12),35370(14),35371(15)]),merge(d),merge(e)].
% 85.44/85.71 40910 identity != sk_c8 | sk_c4 = sk_c7. [resolve(35727,a,22731,a),merge(c)].
% 85.44/85.71 40911 sk_c4 = sk_c7. [resolve(40910,a,20967,a),merge(b)].
% 85.44/85.71 41552 inverse(sk_c1) = sk_c8 | identity = sk_c6. [back_rewrite(36478),rewrite([40911(5),35368(7)])].
% 85.44/85.71 41733 identity = sk_c6 | multiply(sk_c8,sk_c1) = sk_c7. [back_rewrite(36208),rewrite([40911(1),35368(3)])].
% 85.44/85.71 41865 multiply(sk_c7,sk_c7) = sk_c8 | multiply(inverse(sk_c1),multiply(sk_c7,A)) = multiply(sk_c8,A). [back_rewrite(9672),rewrite([40911(1)])].
% 85.44/85.71 42101 identity = sk_c6 | multiply(sk_c8,sk_c1) = identity. [para(41552(a,1),2(a,1,1))].
% 85.44/85.71 43804 identity = sk_c6 | identity = sk_c7. [para(42101(b,1),41733(b,1)),merge(b)].
% 85.44/85.71 43885 identity = sk_c7 | multiply(A,sk_c6) = A. [para(43804(a,1),3443(a,1,2))].
% 85.44/85.71 44219 multiply(sk_c8,sk_c6) = sk_c7 | multiply(sk_c7,multiply(inverse(sk_c1),sk_c7)) = identity. [para(10198(b,1),2(a,1)),rewrite([16749(10),16749(9),31681(7),33(11),33(14),33(13),147(12)])].
% 85.44/85.71 44648 sk_c1 = sk_c7 | identity != sk_c8. [resolve(39639,b,38666,b),merge(c)].
% 85.44/85.71 44649 sk_c1 = sk_c7. [resolve(44648,b,38663,b),merge(b)].
% 85.44/85.71 44710 multiply(sk_c8,sk_c6) = sk_c7 | identity = sk_c7. [back_rewrite(44219),rewrite([44649(7),35370(8),35371(9),3443(8)]),flip(b)].
% 85.44/85.71 44834 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c8,A) = A. [back_rewrite(41865),rewrite([44649(6),35370(7),35372(9)]),flip(b)].
% 85.44/85.71 44957 identity = sk_c7 | sk_c7 = sk_c8. [para(44710(a,1),43885(b,1)),merge(b)].
% 85.44/85.71 44960 sk_c7 = sk_c8 | identity = sk_c8. [para(44957(a,1),3525(a,1,1)),rewrite([35370(5)]),flip(b)].
% 85.44/85.71 44995 sk_c7 = sk_c8. [para(44960(b,1),44957(a,1)),flip(b),merge(b),merge(c)].
% 85.44/85.71 45078 multiply(sk_c8,sk_c8) = sk_c8 | multiply(sk_c8,A) = A. [back_rewrite(44834),rewrite([44995(1),44995(2)])].
% 85.44/85.71 45989 multiply(sk_c8,sk_c8) = identity. [back_rewrite(35371),rewrite([44995(2)])].
% 85.44/85.71 46025 identity != sk_c8. [back_rewrite(34418),rewrite([44995(1)]),xx(a)].
% 85.44/85.71 46137 $F. [factor(45078,a,b),rewrite([45989(3)]),unit_del(a,46025)].
% 85.44/85.71
% 85.44/85.71 % SZS output end Refutation
% 85.44/85.71 ============================== end of proof ==========================
% 85.44/85.71
% 85.44/85.71 ============================== STATISTICS ============================
% 85.44/85.71
% 85.44/85.71 Given=6333. Generated=3910471. Kept=46136. proofs=1.
% 85.44/85.71 Usable=27. Sos=136. Demods=17. Limbo=1059, Disabled=44948. Hints=0.
% 85.44/85.71 Megabytes=37.61.
% 85.44/85.71 User_CPU=82.51, System_CPU=2.21, Wall_clock=85.
% 85.44/85.71
% 85.44/85.71 ============================== end of statistics =====================
% 85.44/85.71
% 85.44/85.71 ============================== end of search =========================
% 85.44/85.71
% 85.44/85.71 THEOREM PROVED
% 85.44/85.71 % SZS status Unsatisfiable
% 85.44/85.71
% 85.44/85.71 Exiting with 1 proof.
% 85.44/85.71
% 85.44/85.71 Process 3217 exit (max_proofs) Tue Jun 14 00:10:28 2022
% 85.44/85.71 Prover9 interrupted
%------------------------------------------------------------------------------