TSTP Solution File: GRP241-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP241-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 11:18:17 EDT 2022
% Result : Unsatisfiable 44.45s 44.81s
% Output : Refutation 44.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP241-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon Jun 13 11:12:26 EDT 2022
% 0.08/0.28 % CPUTime :
% 37.14/37.46 ============================== Prover9 ===============================
% 37.14/37.46 Prover9 (32) version 2009-11A, November 2009.
% 37.14/37.46 Process 23274 was started by sandbox on n032.cluster.edu,
% 37.14/37.46 Mon Jun 13 11:12:27 2022
% 37.14/37.46 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23050_n032.cluster.edu".
% 37.14/37.46 ============================== end of head ===========================
% 37.14/37.46
% 37.14/37.46 ============================== INPUT =================================
% 37.14/37.46
% 37.14/37.46 % Reading from file /tmp/Prover9_23050_n032.cluster.edu
% 37.14/37.46
% 37.14/37.46 set(prolog_style_variables).
% 37.14/37.46 set(auto2).
% 37.14/37.46 % set(auto2) -> set(auto).
% 37.14/37.46 % set(auto) -> set(auto_inference).
% 37.14/37.46 % set(auto) -> set(auto_setup).
% 37.14/37.46 % set(auto_setup) -> set(predicate_elim).
% 37.14/37.46 % set(auto_setup) -> assign(eq_defs, unfold).
% 37.14/37.46 % set(auto) -> set(auto_limits).
% 37.14/37.46 % set(auto_limits) -> assign(max_weight, "100.000").
% 37.14/37.46 % set(auto_limits) -> assign(sos_limit, 20000).
% 37.14/37.46 % set(auto) -> set(auto_denials).
% 37.14/37.46 % set(auto) -> set(auto_process).
% 37.14/37.46 % set(auto2) -> assign(new_constants, 1).
% 37.14/37.46 % set(auto2) -> assign(fold_denial_max, 3).
% 37.14/37.46 % set(auto2) -> assign(max_weight, "200.000").
% 37.14/37.46 % set(auto2) -> assign(max_hours, 1).
% 37.14/37.46 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 37.14/37.46 % set(auto2) -> assign(max_seconds, 0).
% 37.14/37.46 % set(auto2) -> assign(max_minutes, 5).
% 37.14/37.46 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 37.14/37.46 % set(auto2) -> set(sort_initial_sos).
% 37.14/37.46 % set(auto2) -> assign(sos_limit, -1).
% 37.14/37.46 % set(auto2) -> assign(lrs_ticks, 3000).
% 37.14/37.46 % set(auto2) -> assign(max_megs, 400).
% 37.14/37.46 % set(auto2) -> assign(stats, some).
% 37.14/37.46 % set(auto2) -> clear(echo_input).
% 37.14/37.46 % set(auto2) -> set(quiet).
% 37.14/37.46 % set(auto2) -> clear(print_initial_clauses).
% 37.14/37.46 % set(auto2) -> clear(print_given).
% 37.14/37.46 assign(lrs_ticks,-1).
% 37.14/37.46 assign(sos_limit,10000).
% 37.14/37.46 assign(order,kbo).
% 37.14/37.46 set(lex_order_vars).
% 37.14/37.46 clear(print_given).
% 37.14/37.46
% 37.14/37.46 % formulas(sos). % not echoed (39 formulas)
% 37.14/37.46
% 37.14/37.46 ============================== end of input ==========================
% 37.14/37.46
% 37.14/37.46 % From the command line: assign(max_seconds, 300).
% 37.14/37.46
% 37.14/37.46 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 37.14/37.46
% 37.14/37.46 % Formulas that are not ordinary clauses:
% 37.14/37.46
% 37.14/37.46 ============================== end of process non-clausal formulas ===
% 37.14/37.46
% 37.14/37.46 ============================== PROCESS INITIAL CLAUSES ===============
% 37.14/37.46
% 37.14/37.46 ============================== PREDICATE ELIMINATION =================
% 37.14/37.46
% 37.14/37.46 ============================== end predicate elimination =============
% 37.14/37.46
% 37.14/37.46 Auto_denials: (non-Horn, no changes).
% 37.14/37.46
% 37.14/37.46 Term ordering decisions:
% 37.14/37.46
% 37.14/37.46 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 37.14/37.46 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c4=1. sk_c5=1. sk_c6=1. sk_c1=1. sk_c2=1. sk_c3=1. identity=1. multiply=1. inverse=0.
% 37.14/37.46
% 37.14/37.46 ============================== end of process initial clauses ========
% 37.14/37.46
% 37.14/37.46 ============================== CLAUSES FOR SEARCH ====================
% 37.14/37.46
% 37.14/37.46 ============================== end of clauses for search =============
% 37.14/37.46
% 37.14/37.46 ============================== SEARCH ================================
% 37.14/37.46
% 37.14/37.46 % Starting search at 0.03 seconds.
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=37.000, iters=3375
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=35.000, iters=3339
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=34.000, iters=3369
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=33.000, iters=3371
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=32.000, iters=3345
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=31.000, iters=3343
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=30.000, iters=3354
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=29.000, iters=3343
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=28.000, iters=3358
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=27.000, iters=3381
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=26.000, iters=3339
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=25.000, iters=3416
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=24.000, iters=3364
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=23.000, iters=3396
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=22.000, iters=3355
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=21.000, iters=3359
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=19.000, iters=3371
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=16.000, iters=3418
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=15.000, iters=3344
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=14.000, iters=3362
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=13.000, iters=3525
% 37.14/37.46
% 37.14/37.46 Low Water (keep): wt=12.000, iters=3333
% 37.14/37.46
% 37.14/37.46 Low Water (displace): id=4091, wt=46.000
% 37.14/37.46
% 37.14/37.46 Low Water (displace): id=3376, wt=43.000
% 37.14/37.46
% 37.14/37.46 Low Water (displace): id=4096, wt=42.000
% 37.14/37.46
% 37.14/37.46 Low Water (displace): id=21662, wt=11.000
% 37.14/37.46
% 37.14/37.46 Low Water (displace): id=22899, wt=10.000
% 44.45/44.81
% 44.45/44.81 ============================== PROOF =================================
% 44.45/44.81 % SZS status Unsatisfiable
% 44.45/44.81 % SZS output start Refutation
% 44.45/44.81
% 44.45/44.81 % Proof 1 at 42.77 (+ 1.27) seconds.
% 44.45/44.81 % Length of proof is 199.
% 44.45/44.81 % Level of proof is 36.
% 44.45/44.81 % Maximum clause weight is 54.000.
% 44.45/44.81 % Given clauses 5624.
% 44.45/44.81
% 44.45/44.81 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 44.45/44.81 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 44.45/44.81 3 inverse(sk_c8) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 44.45/44.81 4 inverse(sk_c8) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 44.45/44.81 5 inverse(sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 44.45/44.81 7 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 44.45/44.81 8 inverse(sk_c1) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 44.45/44.81 11 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 44.45/44.81 12 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 44.45/44.81 13 inverse(sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 44.45/44.81 17 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 44.45/44.81 18 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 44.45/44.81 19 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 44.45/44.81 20 inverse(sk_c1) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 44.45/44.81 21 inverse(sk_c1) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 44.45/44.81 27 inverse(sk_c2) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 44.45/44.81 28 inverse(sk_c2) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 44.45/44.81 29 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 44.45/44.81 31 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 44.45/44.81 33 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 44.45/44.81 34 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 44.45/44.81 36 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 44.45/44.81 37 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 44.45/44.81 38 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 44.45/44.81 39 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != 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_36) # label(negated_conjecture). [assumption].
% 44.45/44.81 45 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(D) != sk_c8 | multiply(D,sk_c7) != sk_c8. [factor(39,f,k),merge(j),merge(k)].
% 44.45/44.81 75 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c4) = identity. [para(3(b,1),2(a,1,1))].
% 44.45/44.81 76 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c5) = identity. [para(4(b,1),2(a,1,1))].
% 44.45/44.81 77 inverse(sk_c7) = sk_c8 | multiply(sk_c8,sk_c4) = identity. [para(5(b,1),2(a,1,1))].
% 44.45/44.81 83 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),38(a,1,1)),rewrite([1(2)]),flip(a)].
% 44.45/44.81 84 inverse(sk_c8) = sk_c7 | multiply(sk_c4,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(11(b,1),38(a,1,1)),flip(b)].
% 44.45/44.81 85 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c8). [para(11(b,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 87 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(12(b,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 89 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(13(b,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 97 inverse(sk_c4) = sk_c8 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c8). [para(17(a,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 103 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(20(b,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 119 inverse(sk_c2) = sk_c8 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(28(b,1),38(a,2,2)),rewrite([38(8)])].
% 44.45/44.81 120 multiply(sk_c4,sk_c7) = sk_c8 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(29(a,1),38(a,1,1)),flip(b)].
% 44.45/44.81 135 multiply(sk_c8,sk_c6) = sk_c7 | multiply(A,multiply(sk_c2,sk_c8)) = multiply(A,sk_c3). [para(36(a,1),38(a,2,2)),rewrite([38(9)])].
% 44.45/44.81 174 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | inverse(inverse(sk_c7)) != sk_c7 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8. [para(2(a,1),45(c,1))].
% 44.45/44.81 186 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,multiply(D,sk_c8)) != B | inverse(multiply(C,D)) != sk_c8 | inverse(E) != sk_c8 | multiply(E,sk_c7) != sk_c8. [para(38(a,1),45(f,1))].
% 44.45/44.81 187 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(multiply(D,E)) != sk_c8 | multiply(D,multiply(E,sk_c7)) != sk_c8. [para(38(a,1),45(i,1))].
% 44.45/44.81 614 inverse(sk_c8) = sk_c7 | multiply(sk_c8,multiply(sk_c4,A)) = A. [para(75(b,1),38(a,1,1)),rewrite([1(6)]),flip(b)].
% 44.45/44.81 617 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),83(a,1,2))].
% 44.45/44.81 626 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c6. [para(12(b,1),83(a,1,2))].
% 44.45/44.81 653 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),identity) = sk_c4. [para(75(b,1),83(a,1,2))].
% 44.45/44.81 654 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(83(a,1),83(a,1,2))].
% 44.45/44.81 655 multiply(A,identity) = A. [back_rewrite(617),rewrite([654(4)])].
% 44.45/44.81 656 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c4. [back_rewrite(653),rewrite([655(8)])].
% 44.45/44.81 668 inverse(identity) = identity. [para(655(a,1),2(a,1))].
% 44.45/44.81 721 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c5. [para(76(b,1),83(a,1,2)),rewrite([655(8)])].
% 44.45/44.81 722 inverse(sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = identity. [para(721(b,1),2(a,1,1))].
% 44.45/44.81 724 inverse(sk_c8) = sk_c7 | sk_c5 = sk_c4. [para(721(b,1),656(b,1)),merge(b)].
% 44.45/44.81 746 inverse(sk_c7) = sk_c8 | inverse(sk_c8) = sk_c4. [para(77(b,1),83(a,1,2)),rewrite([655(8)])].
% 44.45/44.81 779 inverse(sk_c8) = sk_c4 | multiply(sk_c8,sk_c7) = identity. [para(746(a,1),2(a,1,1))].
% 44.45/44.81 858 multiply(A,inverse(A)) = identity. [para(654(a,1),2(a,1))].
% 44.45/44.81 888 multiply(A,multiply(inverse(A),B)) = B. [para(654(a,1),83(a,1))].
% 44.45/44.81 889 inverse(inverse(A)) = A. [para(654(a,1),655(a,1)),rewrite([655(2)]),flip(a)].
% 44.45/44.81 928 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8. [back_rewrite(174),rewrite([889(14)]),xx(d)].
% 44.45/44.81 936 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c4),multiply(sk_c8,A)) = multiply(sk_c7,A). [para(84(b,1),83(a,1,2))].
% 44.45/44.81 940 inverse(sk_c4) = sk_c8 | multiply(sk_c1,sk_c7) = identity. [para(7(a,1),858(a,1,2))].
% 44.45/44.81 941 inverse(sk_c5) = sk_c8 | multiply(sk_c1,sk_c7) = identity. [para(8(a,1),858(a,1,2))].
% 44.45/44.81 944 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(858(a,1),38(a,1)),flip(a)].
% 44.45/44.81 969 inverse(sk_c8) = sk_c7 | multiply(sk_c8,inverse(sk_c7)) = sk_c4. [para(858(a,1),84(b,1,2)),rewrite([655(7)]),flip(b)].
% 44.45/44.81 1135 inverse(sk_c8) = sk_c7 | multiply(sk_c4,multiply(sk_c8,sk_c6)) = sk_c8. [para(11(b,1),87(b,2)),merge(b)].
% 44.45/44.81 1295 inverse(sk_c8) = sk_c7 | multiply(A,sk_c6) = A. [para(722(b,1),89(b,1,2)),rewrite([655(10)]),flip(c),merge(b)].
% 44.45/44.81 1601 inverse(sk_c4) = sk_c8 | identity = sk_c8. [para(940(b,1),17(a,1)),merge(c)].
% 44.45/44.81 1605 identity = sk_c8 | inverse(sk_c8) = sk_c4. [para(1601(a,1),889(a,1,1))].
% 44.45/44.81 1678 inverse(sk_c5) = sk_c8 | identity = sk_c8. [para(941(b,1),18(a,1)),merge(c)].
% 44.45/44.81 1682 identity = sk_c8 | inverse(sk_c8) = sk_c5. [para(1678(a,1),889(a,1,1))].
% 44.45/44.81 1738 identity = sk_c8 | sk_c5 = sk_c4. [para(1682(b,1),1605(b,1)),merge(b)].
% 44.45/44.81 1741 sk_c5 = sk_c4 | inverse(sk_c8) = identity. [para(1738(a,1),668(a,1,1))].
% 44.45/44.81 1759 sk_c5 = sk_c4 | identity = sk_c7. [para(1741(b,1),724(a,1)),merge(c)].
% 44.45/44.81 1772 sk_c5 = sk_c4 | inverse(sk_c8) = sk_c8. [para(1738(a,1),1741(b,2)),merge(b)].
% 44.45/44.81 1847 sk_c5 = sk_c4 | multiply(sk_c8,sk_c8) = identity. [para(1772(b,1),2(a,1,1))].
% 44.45/44.81 2179 inverse(sk_c4) = sk_c8 | multiply(A,sk_c8) = A. [para(940(b,1),97(b,1,2)),rewrite([655(10)]),flip(c),merge(b)].
% 44.45/44.81 2321 sk_c5 = sk_c4 | multiply(sk_c8,sk_c8) = sk_c7. [para(1759(b,1),1847(b,2)),merge(b)].
% 44.45/44.81 2441 sk_c5 = sk_c4 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(2321(b,1),83(a,1,2))].
% 44.45/44.81 3164 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c8,sk_c6)) = sk_c8. [para(19(b,1),103(b,2)),merge(b)].
% 44.45/44.81 4679 inverse(sk_c8) = sk_c7 | inverse(sk_c6) = identity. [para(1295(b,1),2(a,1))].
% 44.45/44.81 4876 inverse(sk_c8) = sk_c7 | multiply(sk_c6,A) = A. [para(4679(b,1),83(a,1,1)),rewrite([1(8)])].
% 44.45/44.81 5324 inverse(sk_c4) = sk_c8 | inverse(sk_c8) = identity. [para(2179(b,1),2(a,1))].
% 44.45/44.81 5524 inverse(sk_c8) = identity | inverse(sk_c8) = sk_c4. [para(5324(a,1),889(a,1,1))].
% 44.45/44.81 5700 inverse(sk_c8) = sk_c4 | multiply(sk_c8,A) = A. [para(5524(a,1),83(a,1,1)),rewrite([1(8)])].
% 44.45/44.81 5774 inverse(sk_c2) = sk_c8 | multiply(sk_c8,multiply(sk_c5,sk_c8)) = sk_c7. [para(27(b,1),119(b,2)),merge(b)].
% 44.45/44.81 5934 multiply(sk_c4,sk_c7) = sk_c8 | multiply(sk_c8,inverse(sk_c7)) = sk_c1. [para(858(a,1),120(b,1,2)),rewrite([655(8)]),flip(b)].
% 44.45/44.81 7545 multiply(sk_c8,sk_c6) = sk_c7 | multiply(sk_c8,multiply(sk_c2,sk_c8)) = sk_c7. [para(33(a,1),135(b,2)),merge(b)].
% 44.45/44.81 7841 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c6),A) = A. [para(4876(b,1),83(a,1,2))].
% 44.45/44.81 8008 inverse(sk_c8) = sk_c4 | identity = sk_c7. [para(5700(b,1),779(b,1)),flip(c),merge(b)].
% 44.45/44.81 8756 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c6. [para(656(b,1),626(b,1,1)),merge(b)].
% 44.45/44.81 8770 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c4),sk_c6) = sk_c7. [para(8756(b,1),83(a,1,2))].
% 44.45/44.81 9191 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | multiply(sk_c8,A) != sk_c7 | sk_c8 != A | inverse(B) != sk_c8 | multiply(B,sk_c7) != sk_c8. [para(1(a,1),928(e,1)),rewrite([668(19)]),merge(f)].
% 44.45/44.81 9196 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8. [resolve(9191,d,888,a),flip(d)].
% 44.45/44.81 9200 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [factor(9196,d,f),rewrite([889(20)]),xx(e)].
% 44.45/44.81 9204 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | identity != sk_c8 | sk_c5 = sk_c4. [resolve(9200,d,2441,b)].
% 44.45/44.81 9653 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | C != B | inverse(multiply(C,inverse(sk_c8))) != sk_c8 | inverse(D) != sk_c8 | multiply(D,sk_c7) != sk_c8. [para(2(a,1),186(f,1,2)),rewrite([655(21)])].
% 44.45/44.81 9658 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | B != A | inverse(multiply(B,inverse(sk_c8))) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8. [factor(9653,a,d)].
% 44.45/44.81 9689 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | B != A | inverse(multiply(B,inverse(sk_c8))) != sk_c8 | multiply(B,multiply(inverse(sk_c8),sk_c7)) != sk_c8. [factor(9658,f,g),rewrite([38(29)])].
% 44.45/44.81 9753 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(multiply(D,inverse(sk_c7))) != sk_c8 | sk_c8 != D. [para(2(a,1),187(i,1,2)),rewrite([655(33)]),flip(i)].
% 44.45/44.81 9758 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | inverse(multiply(C,inverse(sk_c7))) != sk_c8 | sk_c8 != C. [factor(9753,a,d)].
% 44.45/44.81 9759 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(sk_c7,sk_c8) != B | inverse(multiply(C,inverse(sk_c7))) != sk_c8 | sk_c8 != C. [factor(9753,b,g)].
% 44.45/44.81 10075 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(944(a,1),83(a,1,2)),rewrite([655(3)]),flip(a)].
% 44.45/44.81 10295 multiply(sk_c5,sk_c8) = sk_c6 | multiply(sk_c7,inverse(sk_c8)) = inverse(sk_c1). [para(31(a,1),10075(a,1,2,1))].
% 44.45/44.81 10323 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(10075(a,1),83(a,1,2)),flip(a)].
% 44.45/44.81 10640 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(sk_c7,sk_c8) != B | multiply(sk_c7,inverse(C)) != sk_c8 | sk_c8 != C. [back_rewrite(9759),rewrite([10323(27),889(26)])].
% 44.45/44.81 10641 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | multiply(sk_c7,inverse(C)) != sk_c8 | sk_c8 != C. [back_rewrite(9758),rewrite([10323(27),889(26)])].
% 44.45/44.81 10690 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | B != A | multiply(sk_c8,inverse(B)) != sk_c8 | multiply(B,multiply(inverse(sk_c8),sk_c7)) != sk_c8. [back_rewrite(9689),rewrite([10323(22),889(21)])].
% 44.45/44.81 15463 inverse(sk_c8) = sk_c7 | inverse(sk_c4) = sk_c7. [para(8770(b,1),1295(b,1)),flip(c),merge(b)].
% 44.45/44.81 15471 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c7) = identity. [para(15463(b,1),858(a,1,2))].
% 44.45/44.81 15477 inverse(sk_c8) = sk_c7 | identity = sk_c8. [para(15471(b,1),11(b,1)),merge(b)].
% 44.45/44.81 15479 inverse(sk_c8) = sk_c7 | multiply(A,sk_c8) = A. [para(15471(b,1),85(b,1,2)),rewrite([655(10)]),flip(c),merge(b)].
% 44.45/44.81 15494 identity = sk_c8 | sk_c4 = sk_c7. [para(15477(a,1),1605(b,1)),flip(c),merge(b)].
% 44.45/44.81 16122 inverse(sk_c8) = sk_c7 | inverse(sk_c6) = sk_c8. [para(15479(b,1),7841(b,1)),merge(b)].
% 44.45/44.81 16236 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = identity. [para(16122(b,1),2(a,1,1))].
% 44.45/44.81 16961 inverse(sk_c8) = sk_c7 | identity = sk_c7. [para(16236(b,1),12(b,1)),merge(b)].
% 44.45/44.81 16964 inverse(sk_c8) = sk_c7 | multiply(A,sk_c7) = A. [para(16236(b,1),87(b,1,2)),rewrite([655(10)]),flip(c),merge(b)].
% 44.45/44.81 16979 identity = sk_c7 | sk_c4 = sk_c7. [para(16961(a,1),8008(a,1)),flip(b),merge(c)].
% 44.45/44.81 16986 sk_c4 = sk_c7 | inverse(sk_c7) = identity. [para(16979(a,1),668(a,1,1))].
% 44.45/44.81 17411 sk_c4 = sk_c7 | inverse(sk_c7) = sk_c7. [para(16979(a,1),16986(b,2)),merge(b)].
% 44.45/44.81 17737 sk_c4 = sk_c7 | multiply(sk_c7,sk_c7) = identity. [para(17411(b,1),2(a,1,1))].
% 44.45/44.81 17767 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | sk_c7 != A | multiply(inverse(sk_c8),A) != B | multiply(sk_c8,inverse(B)) != sk_c8 | multiply(B,multiply(inverse(sk_c8),sk_c7)) != sk_c8. [para(888(a,1),10690(d,1)),flip(d),flip(e)].
% 44.45/44.81 18085 sk_c4 = sk_c7 | multiply(sk_c7,sk_c7) = sk_c8. [para(15494(a,1),17737(b,2)),merge(b)].
% 44.45/44.81 18478 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(sk_c7,inverse(B)) != sk_c8 | sk_c8 != B. [resolve(10640,f,889,a(flip)),rewrite([10323(20),10323(22),889(19),889(20)])].
% 44.45/44.81 18486 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(sk_c7,B) != sk_c8 | inverse(B) != sk_c8. [para(889(a,1),18478(f,1,2)),flip(g)].
% 44.45/44.81 18499 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [resolve(18486,f,888,a),rewrite([10323(27),889(27)])].
% 44.45/44.81 18503 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(A,multiply(B,sk_c7)) != sk_c8 | multiply(inverse(B),inverse(A)) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(38(a,1),18499(c,1)),rewrite([10323(15)])].
% 44.45/44.81 18540 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | sk_c8 != A | multiply(sk_c7,inverse(A)) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(2(a,1),18503(c,1,2)),rewrite([655(10),889(13)]),flip(c)].
% 44.45/44.81 18542 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | inverse(A) != sk_c8 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(889(a,1),18540(d,1,2)),flip(c)].
% 44.45/44.81 18556 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(inverse(A),sk_c7) != sk_c8 | sk_c7 != A | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(888(a,1),18542(d,1)),rewrite([10323(12),889(12)]),flip(d)].
% 44.45/44.81 18576 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(A,sk_c8) | inverse(A) != sk_c8 | multiply(sk_c7,inverse(B)) != sk_c8 | sk_c8 != B. [resolve(10641,d,888,a),flip(d)].
% 44.45/44.81 18689 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(A,sk_c8) | inverse(A) != sk_c8 | multiply(sk_c7,B) != sk_c8 | inverse(B) != sk_c8. [para(889(a,1),18576(f,1,2)),flip(g)].
% 44.45/44.81 18692 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(A,sk_c8) | inverse(A) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [resolve(18689,f,888,a),rewrite([10323(28),889(28)])].
% 44.45/44.81 18695 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(A,multiply(B,sk_c8)) != multiply(inverse(sk_c8),sk_c7) | multiply(inverse(B),inverse(A)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(38(a,1),18692(d,2)),rewrite([10323(23)]),flip(d)].
% 44.45/44.81 19085 inverse(sk_c8) = sk_c7 | inverse(sk_c6) = sk_c7. [para(16964(b,1),7841(b,1)),merge(b)].
% 44.45/44.81 19152 inverse(sk_c8) = sk_c7 | inverse(sk_c7) = sk_c6. [para(19085(b,1),889(a,1,1))].
% 44.45/44.81 19177 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c4. [para(19152(b,1),969(b,1,2)),merge(b)].
% 44.45/44.81 19669 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | A != B | multiply(sk_c8,inverse(B)) != sk_c8 | multiply(B,multiply(inverse(sk_c8),sk_c7)) != sk_c8. [para(83(a,1),17767(e,1)),flip(d)].
% 44.45/44.81 20048 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != A | multiply(sk_c8,inverse(A)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(2(a,1),18695(d,1,2)),rewrite([655(15),889(21)]),flip(d)].
% 44.45/44.81 20050 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | inverse(A) != multiply(inverse(sk_c8),sk_c7) | multiply(sk_c8,A) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(889(a,1),20048(e,1,2)),flip(d)].
% 44.45/44.81 20051 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(inverse(A),sk_c8) | sk_c8 != A | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(888(a,1),20050(e,1)),rewrite([10323(17),889(17)]),flip(d),flip(e)].
% 44.45/44.81 21591 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c7)) != sk_c8 | multiply(B,A) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(10323(a,1),18556(c,1,1)),rewrite([38(13)]),flip(d)].
% 44.45/44.81 22026 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c8)) != multiply(inverse(sk_c8),sk_c7) | multiply(B,A) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [para(10323(a,1),20051(d,2,1)),rewrite([38(22)]),flip(d),flip(e)].
% 44.45/44.81 22166 inverse(sk_c8) != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(inverse(sk_c8),multiply(inverse(sk_c7),multiply(inverse(sk_c8),sk_c7))) != sk_c8 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [factor(21591,d,e),rewrite([10323(12),38(18)])].
% 44.45/44.81 23571 inverse(sk_c8) = sk_c7 | multiply(sk_c4,sk_c4) = sk_c8. [para(19177(b,1),1135(b,1,2)),merge(b)].
% 44.45/44.81 23582 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c8) = sk_c4. [para(23571(b,1),614(b,1,2)),merge(b)].
% 44.45/44.81 23592 inverse(sk_c8) = sk_c7 | multiply(sk_c7,sk_c8) = identity. [para(23582(b,1),936(b,1,2)),rewrite([2(12)]),flip(c),merge(b)].
% 44.45/44.81 23607 inverse(sk_c8) = sk_c7 | inverse(sk_c7) = sk_c8. [para(23592(b,1),83(a,1,2)),rewrite([655(8)])].
% 44.45/44.81 23615 inverse(sk_c8) = sk_c7. [para(23607(b,1),889(a,1,1)),merge(b)].
% 44.45/44.81 24183 inverse(sk_c7) != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8 | multiply(sk_c8,multiply(sk_c7,sk_c8)) != sk_c7. [back_rewrite(22166),rewrite([23615(2),23615(9),23615(12),83(14),23615(21)]),xx(a),merge(d)].
% 44.45/44.81 24269 inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c8)) != multiply(sk_c7,sk_c7) | multiply(B,A) != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8. [back_rewrite(22026),rewrite([23615(2),23615(19),23615(26)]),xx(a)].
% 44.45/44.81 24990 inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,A) != sk_c7 | A != B | multiply(sk_c8,inverse(B)) != sk_c8 | multiply(B,multiply(sk_c7,sk_c7)) != sk_c8. [back_rewrite(19669),rewrite([23615(2),23615(24)]),xx(a)].
% 44.45/44.81 26453 multiply(sk_c5,sk_c8) = sk_c6 | multiply(sk_c7,sk_c7) = inverse(sk_c1). [back_rewrite(10295),rewrite([23615(8)])].
% 44.45/44.81 26492 inverse(sk_c7) != sk_c8 | identity != sk_c8 | sk_c5 = sk_c4. [back_rewrite(9204),rewrite([23615(2)]),xx(a)].
% 44.45/44.81 28261 inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8. [factor(24269,b,d),rewrite([23615(13),83(15)]),flip(c),merge(d)].
% 44.45/44.81 28273 inverse(sk_c7) != sk_c8 | multiply(sk_c8,sk_c7) != sk_c8 | multiply(sk_c8,multiply(sk_c8,sk_c7)) != sk_c7 | multiply(sk_c8,multiply(sk_c7,sk_c7)) != sk_c8. [factor(24990,b,d),rewrite([23615(19)]),merge(d)].
% 44.45/44.81 28293 multiply(sk_c7,sk_c8) = identity. [para(23615(a,1),2(a,1,1))].
% 44.45/44.81 28294 multiply(sk_c7,multiply(sk_c8,A)) = A. [para(23615(a,1),83(a,1,1))].
% 44.45/44.81 28295 inverse(sk_c7) = sk_c8. [para(23615(a,1),889(a,1,1))].
% 44.45/44.81 28296 multiply(sk_c8,sk_c7) = identity. [para(23615(a,1),858(a,1,2))].
% 44.45/44.81 28297 multiply(sk_c8,multiply(sk_c7,A)) = A. [para(23615(a,1),888(a,1,2,1))].
% 44.45/44.81 28557 multiply(sk_c7,sk_c7) != sk_c8 | sk_c7 != sk_c8. [back_rewrite(24183),rewrite([28295(2),28293(12),655(11)]),flip(c),xx(a)].
% 44.45/44.81 28618 identity != sk_c8 | sk_c7 != sk_c8. [back_rewrite(28273),rewrite([28295(2),28296(6),28296(10),655(9),28297(14)]),flip(c),xx(a),merge(c)].
% 44.45/44.81 28627 identity != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8. [back_rewrite(28261),rewrite([28295(2),28296(6)]),xx(a)].
% 44.45/44.81 28698 identity != sk_c8 | sk_c5 = sk_c4. [back_rewrite(26492),rewrite([28295(2)]),xx(a)].
% 44.45/44.81 29940 multiply(sk_c4,sk_c7) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c1. [back_rewrite(5934),rewrite([28295(8)])].
% 44.45/44.81 29983 identity != sk_c8 | sk_c4 = sk_c7. [resolve(28627,b,18085,b)].
% 44.45/44.81 30006 sk_c5 = sk_c4. [resolve(28698,a,1738,a),merge(b)].
% 44.45/44.81 30039 multiply(sk_c4,sk_c8) = sk_c6 | multiply(sk_c7,sk_c7) = inverse(sk_c1). [back_rewrite(26453),rewrite([30006(1)])].
% 44.45/44.81 30132 inverse(sk_c2) = sk_c8 | multiply(sk_c8,multiply(sk_c4,sk_c8)) = sk_c7. [back_rewrite(5774),rewrite([30006(6)])].
% 44.45/44.81 30178 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c4,sk_c8) = sk_c6. [back_rewrite(37),rewrite([30006(6)])].
% 44.45/44.81 30179 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c4,sk_c8) = sk_c6. [back_rewrite(34),rewrite([30006(6)])].
% 44.45/44.81 30181 inverse(sk_c2) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c6. [back_rewrite(28),rewrite([30006(5)])].
% 44.45/44.81 30182 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c8) = sk_c6. [back_rewrite(21),rewrite([30006(5)])].
% 44.45/44.81 30183 sk_c4 = sk_c7. [resolve(29983,a,15494,a),merge(b)].
% 44.45/44.81 30184 inverse(sk_c1) = sk_c7 | identity = sk_c6. [back_rewrite(30182),rewrite([30183(5),28293(7)])].
% 44.45/44.81 30185 inverse(sk_c2) = sk_c8 | identity = sk_c6. [back_rewrite(30181),rewrite([30183(5),28293(7)])].
% 44.45/44.81 30187 multiply(sk_c8,sk_c3) = sk_c7 | identity = sk_c6. [back_rewrite(30179),rewrite([30183(6),28293(8)])].
% 44.45/44.81 30188 multiply(sk_c2,sk_c8) = sk_c3 | identity = sk_c6. [back_rewrite(30178),rewrite([30183(6),28293(8)])].
% 44.45/44.81 30226 inverse(sk_c2) = sk_c8 | sk_c7 = sk_c8. [back_rewrite(30132),rewrite([30183(6),28293(8),655(7)]),flip(b)].
% 44.45/44.81 30289 identity = sk_c6 | multiply(sk_c7,sk_c7) = inverse(sk_c1). [back_rewrite(30039),rewrite([30183(1),28293(3)])].
% 44.45/44.81 30312 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c1. [back_rewrite(29940),rewrite([30183(1)])].
% 44.45/44.81 30385 inverse(sk_c1) = sk_c7 | sk_c6 = sk_c8. [back_rewrite(3164),rewrite([30183(5),28294(9)])].
% 44.45/44.81 30469 identity = sk_c6 | multiply(sk_c2,sk_c8) = identity. [para(30185(a,1),858(a,1,2))].
% 44.45/44.81 30523 sk_c7 = sk_c8 | sk_c2 = sk_c7. [para(30226(a,1),889(a,1,1)),rewrite([23615(5)]),flip(b)].
% 44.45/44.81 30594 sk_c6 = sk_c8 | sk_c1 = sk_c8. [para(30385(a,1),889(a,1,1)),rewrite([28295(5)]),flip(b)].
% 44.45/44.81 30892 identity = sk_c6 | identity = sk_c3. [para(30469(b,1),30188(a,1)),merge(c)].
% 44.45/44.81 30894 identity = sk_c6 | multiply(A,sk_c3) = A. [para(30892(b,1),655(a,1,2))].
% 44.45/44.81 31495 identity = sk_c6 | sk_c7 = sk_c8. [para(30894(b,1),30187(a,1)),flip(b),merge(c)].
% 44.45/44.81 31581 sk_c7 = sk_c8 | multiply(A,sk_c6) = A. [para(31495(a,1),655(a,1,2))].
% 44.45/44.81 33930 identity = sk_c6 | multiply(sk_c7,sk_c7) = sk_c7. [para(30184(a,1),30289(b,2)),merge(b)].
% 44.45/44.81 34587 identity = sk_c6 | sk_c7 != sk_c8. [para(33930(b,1),28557(a,1)),merge(c)].
% 44.45/44.81 34872 sk_c7 = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7. [para(30523(b,1),7545(b,1,2,1)),rewrite([28293(12),655(11)]),flip(c),merge(c)].
% 44.45/44.81 35865 sk_c7 = sk_c8. [para(34872(b,1),31581(b,1)),merge(b),merge(c)].
% 44.45/44.81 36429 identity = sk_c6. [back_rewrite(34587),rewrite([35865(4)]),xx(b)].
% 44.45/44.81 37481 multiply(sk_c8,sk_c8) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c1. [back_rewrite(30312),rewrite([35865(1),35865(2)])].
% 44.45/44.81 38092 sk_c6 != sk_c8. [back_rewrite(28618),rewrite([36429(1),35865(4)]),xx(b)].
% 44.45/44.81 38141 multiply(sk_c8,sk_c8) = sk_c6. [back_rewrite(28296),rewrite([35865(2),36429(4)])].
% 44.45/44.81 38225 sk_c1 = sk_c8. [back_unit_del(30594),unit_del(a,38092)].
% 44.45/44.81 38226 $F. [back_unit_del(37481),rewrite([38141(3),38141(6),38225(5)]),merge(b),unit_del(a,38092)].
% 44.45/44.81
% 44.45/44.81 % SZS output end Refutation
% 44.45/44.81 ============================== end of proof ==========================
% 44.45/44.81
% 44.45/44.81 ============================== STATISTICS ============================
% 44.45/44.81
% 44.45/44.81 Given=5624. Generated=2514812. Kept=38225. proofs=1.
% 44.45/44.81 Usable=23. Sos=869. Demods=32. Limbo=133, Disabled=37239. Hints=0.
% 44.45/44.81 Megabytes=28.97.
% 44.45/44.81 User_CPU=42.78, System_CPU=1.27, Wall_clock=44.
% 44.45/44.81
% 44.45/44.81 ============================== end of statistics =====================
% 44.45/44.81
% 44.45/44.81 ============================== end of search =========================
% 44.45/44.81
% 44.45/44.81 THEOREM PROVED
% 44.45/44.81 % SZS status Unsatisfiable
% 44.45/44.81
% 44.45/44.81 Exiting with 1 proof.
% 44.45/44.81
% 44.45/44.81 Process 23274 exit (max_proofs) Mon Jun 13 11:13:11 2022
% 44.45/44.82 Prover9 interrupted
%------------------------------------------------------------------------------