TSTP Solution File: GRP315-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP315-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 11:18:36 EDT 2022
% Result : Unsatisfiable 97.48s 97.79s
% Output : Refutation 97.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP315-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 11:24:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 13.63/13.92 ============================== Prover9 ===============================
% 13.63/13.92 Prover9 (32) version 2009-11A, November 2009.
% 13.63/13.92 Process 1479 was started by sandbox2 on n013.cluster.edu,
% 13.63/13.92 Mon Jun 13 11:24:29 2022
% 13.63/13.92 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1157_n013.cluster.edu".
% 13.63/13.92 ============================== end of head ===========================
% 13.63/13.92
% 13.63/13.92 ============================== INPUT =================================
% 13.63/13.92
% 13.63/13.92 % Reading from file /tmp/Prover9_1157_n013.cluster.edu
% 13.63/13.92
% 13.63/13.92 set(prolog_style_variables).
% 13.63/13.92 set(auto2).
% 13.63/13.92 % set(auto2) -> set(auto).
% 13.63/13.92 % set(auto) -> set(auto_inference).
% 13.63/13.92 % set(auto) -> set(auto_setup).
% 13.63/13.92 % set(auto_setup) -> set(predicate_elim).
% 13.63/13.92 % set(auto_setup) -> assign(eq_defs, unfold).
% 13.63/13.92 % set(auto) -> set(auto_limits).
% 13.63/13.92 % set(auto_limits) -> assign(max_weight, "100.000").
% 13.63/13.92 % set(auto_limits) -> assign(sos_limit, 20000).
% 13.63/13.92 % set(auto) -> set(auto_denials).
% 13.63/13.92 % set(auto) -> set(auto_process).
% 13.63/13.92 % set(auto2) -> assign(new_constants, 1).
% 13.63/13.92 % set(auto2) -> assign(fold_denial_max, 3).
% 13.63/13.92 % set(auto2) -> assign(max_weight, "200.000").
% 13.63/13.92 % set(auto2) -> assign(max_hours, 1).
% 13.63/13.92 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 13.63/13.92 % set(auto2) -> assign(max_seconds, 0).
% 13.63/13.92 % set(auto2) -> assign(max_minutes, 5).
% 13.63/13.92 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 13.63/13.92 % set(auto2) -> set(sort_initial_sos).
% 13.63/13.92 % set(auto2) -> assign(sos_limit, -1).
% 13.63/13.92 % set(auto2) -> assign(lrs_ticks, 3000).
% 13.63/13.92 % set(auto2) -> assign(max_megs, 400).
% 13.63/13.92 % set(auto2) -> assign(stats, some).
% 13.63/13.92 % set(auto2) -> clear(echo_input).
% 13.63/13.92 % set(auto2) -> set(quiet).
% 13.63/13.92 % set(auto2) -> clear(print_initial_clauses).
% 13.63/13.92 % set(auto2) -> clear(print_given).
% 13.63/13.92 assign(lrs_ticks,-1).
% 13.63/13.92 assign(sos_limit,10000).
% 13.63/13.92 assign(order,kbo).
% 13.63/13.92 set(lex_order_vars).
% 13.63/13.92 clear(print_given).
% 13.63/13.92
% 13.63/13.92 % formulas(sos). % not echoed (21 formulas)
% 13.63/13.92
% 13.63/13.92 ============================== end of input ==========================
% 13.63/13.92
% 13.63/13.92 % From the command line: assign(max_seconds, 300).
% 13.63/13.92
% 13.63/13.92 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 13.63/13.92
% 13.63/13.92 % Formulas that are not ordinary clauses:
% 13.63/13.92
% 13.63/13.92 ============================== end of process non-clausal formulas ===
% 13.63/13.92
% 13.63/13.92 ============================== PROCESS INITIAL CLAUSES ===============
% 13.63/13.92
% 13.63/13.92 ============================== PREDICATE ELIMINATION =================
% 13.63/13.92
% 13.63/13.92 ============================== end predicate elimination =============
% 13.63/13.92
% 13.63/13.92 Auto_denials: (non-Horn, no changes).
% 13.63/13.92
% 13.63/13.92 Term ordering decisions:
% 13.63/13.92
% 13.63/13.92 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 13.63/13.92 Function symbol KB weights: sk_c6=1. sk_c7=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 13.63/13.92
% 13.63/13.92 ============================== end of process initial clauses ========
% 13.63/13.92
% 13.63/13.92 ============================== CLAUSES FOR SEARCH ====================
% 13.63/13.92
% 13.63/13.92 ============================== end of clauses for search =============
% 13.63/13.92
% 13.63/13.92 ============================== SEARCH ================================
% 13.63/13.92
% 13.63/13.92 % Starting search at 0.01 seconds.
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=41.000, iters=3701
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=37.000, iters=3603
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=36.000, iters=3586
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=35.000, iters=3541
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=32.000, iters=3397
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=31.000, iters=3357
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=30.000, iters=3382
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=29.000, iters=3366
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=28.000, iters=3425
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=27.000, iters=3385
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=26.000, iters=3458
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=25.000, iters=3360
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=24.000, iters=3336
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=23.000, iters=3373
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=22.000, iters=3355
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=21.000, iters=3388
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=20.000, iters=3337
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=19.000, iters=3341
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=18.000, iters=3340
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=17.000, iters=3341
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=16.000, iters=3337
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=15.000, iters=3339
% 13.63/13.92
% 13.63/13.92 Low Water (keep): wt=14.000, iters=3344
% 13.63/13.92
% 13.63/13.92 Low Water (displace): id=3068, wt=45.000
% 13.63/13.92
% 13.63/13.92 Low Water (displace): id=4320, wt=44.000
% 13.63/13.92
% 13.63/13.92 Low Water (displace): id=15757, wt=13.000
% 13.63/13.92
% 13.63/13.92 Low Water (displace): id=15977, wt=12.000
% 97.48/97.79
% 97.48/97.79 Low Water (keep): wt=13.000, iters=3336
% 97.48/97.79
% 97.48/97.79 Low Water (displace): id=18279, wt=11.000
% 97.48/97.79
% 97.48/97.79 Low Water (keep): wt=12.000, iters=3340
% 97.48/97.79
% 97.48/97.79 ============================== PROOF =================================
% 97.48/97.79 % SZS status Unsatisfiable
% 97.48/97.79 % SZS output start Refutation
% 97.48/97.79
% 97.48/97.79 % Proof 1 at 93.72 (+ 3.05) seconds.
% 97.48/97.79 % Length of proof is 304.
% 97.48/97.79 % Level of proof is 33.
% 97.48/97.79 % Maximum clause weight is 40.000.
% 97.48/97.79 % Given clauses 6162.
% 97.48/97.79
% 97.48/97.79 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 97.48/97.79 2 multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 97.48/97.79 3 sk_c5 = multiply(sk_c6,sk_c7). [copy(2),flip(a)].
% 97.48/97.79 4 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 97.48/97.79 5 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 97.48/97.79 6 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 97.48/97.79 7 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 97.48/97.79 8 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 97.48/97.79 9 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 97.48/97.79 10 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 97.48/97.79 11 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 97.48/97.79 12 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 97.48/97.79 13 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c6,sk_c7)) = sk_c6. [copy(12),rewrite([3(6)])].
% 97.48/97.79 14 multiply(sk_c2,sk_c6) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 97.48/97.79 15 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | inverse(sk_c3) = sk_c7. [copy(14),rewrite([3(4)])].
% 97.48/97.79 16 multiply(sk_c2,sk_c6) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 97.48/97.79 17 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | inverse(sk_c4) = sk_c6. [copy(16),rewrite([3(4)])].
% 97.48/97.79 18 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 97.48/97.79 19 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 97.48/97.79 20 inverse(sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c6,sk_c7)) = sk_c6. [copy(19),rewrite([3(6)])].
% 97.48/97.79 21 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 97.48/97.79 22 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 97.48/97.79 23 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c6,sk_c7)) = sk_c6. [copy(22),rewrite([3(7)])].
% 97.48/97.79 24 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 97.48/97.79 25 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | multiply(sk_c3,sk_c6) = sk_c7. [copy(24),rewrite([3(4)])].
% 97.48/97.79 26 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 97.48/97.79 27 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | multiply(sk_c4,multiply(sk_c6,sk_c7)) = sk_c6. [copy(26),rewrite([3(4),3(9)])].
% 97.48/97.79 28 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 97.48/97.79 29 multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(D) != sk_c6 | multiply(D,sk_c5) != sk_c6 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 97.48/97.79 30 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(D) != sk_c6 | multiply(D,multiply(sk_c6,sk_c7)) != sk_c6. [copy(29),rewrite([3(4),3(17),3(34)]),flip(d),xx(a)].
% 97.48/97.79 31 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | multiply(A,sk_c6) != sk_c7 | inverse(C) != sk_c6 | multiply(C,multiply(sk_c6,sk_c7)) != sk_c6. [factor(30,b,e)].
% 97.48/97.79 34 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c3) = identity. [para(5(b,1),4(a,1,1))].
% 97.48/97.79 35 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c4) = identity. [para(6(b,1),4(a,1,1))].
% 97.48/97.79 37 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c4) = identity. [para(8(b,1),4(a,1,1))].
% 97.48/97.79 38 multiply(inverse(A),multiply(A,B)) = B. [para(4(a,1),28(a,1,1)),rewrite([1(2)]),flip(a)].
% 97.48/97.79 40 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(9(a,1),28(a,2,2)),rewrite([28(8)])].
% 97.48/97.79 43 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(11(b,1),28(a,1,1)),flip(b)].
% 97.48/97.79 44 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c3,sk_c6)) = multiply(A,sk_c7). [para(11(b,1),28(a,2,2)),rewrite([28(8)])].
% 97.48/97.79 45 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c6,multiply(sk_c7,A))) = multiply(sk_c6,A). [para(13(b,1),28(a,1,1)),rewrite([28(11)]),flip(b)].
% 97.48/97.79 48 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c2,sk_c6)) = multiply(A,multiply(sk_c6,sk_c7)). [para(15(a,1),28(a,2,2)),rewrite([28(8)])].
% 97.48/97.79 53 inverse(sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c6,multiply(sk_c7,A))) = multiply(sk_c6,A). [para(20(b,1),28(a,1,1)),rewrite([28(11)]),flip(b)].
% 97.48/97.79 75 sk_c7 != sk_c6 | inverse(identity) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(C) != sk_c6 | multiply(C,multiply(sk_c6,sk_c7)) != sk_c6. [para(1(a,1),30(a,1))].
% 97.48/97.79 117 sk_c7 != sk_c6 | inverse(identity) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | inverse(B) != sk_c6 | multiply(B,multiply(sk_c6,sk_c7)) != sk_c6. [factor(75,b,e),rewrite([1(19)]),flip(e),merge(e)].
% 97.48/97.79 160 sk_c7 != sk_c6 | inverse(identity) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | multiply(A,multiply(sk_c6,sk_c7)) != sk_c6. [factor(117,d,e)].
% 97.48/97.79 180 inverse(sk_c1) = sk_c7 | multiply(sk_c7,multiply(sk_c3,A)) = A. [para(34(b,1),28(a,1,1)),rewrite([1(6)]),flip(b)].
% 97.48/97.79 181 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = multiply(A,identity). [para(34(b,1),28(a,2,2)),rewrite([28(8)])].
% 97.48/97.79 192 multiply(inverse(inverse(A)),identity) = A. [para(4(a,1),38(a,1,2))].
% 97.48/97.79 193 inverse(sk_c1) = sk_c7 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(6(b,1),38(a,1,1))].
% 97.48/97.79 195 inverse(sk_c2) = sk_c6 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(8(b,1),38(a,1,1))].
% 97.48/97.79 198 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(11(b,1),38(a,1,2))].
% 97.48/97.79 199 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c4),sk_c6) = multiply(sk_c6,sk_c7). [para(13(b,1),38(a,1,2))].
% 97.48/97.79 201 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c2),multiply(sk_c6,sk_c7)) = sk_c6. [para(17(a,1),38(a,1,2))].
% 97.48/97.79 202 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(18(b,1),38(a,1,2))].
% 97.48/97.79 203 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c4),sk_c6) = multiply(sk_c6,sk_c7). [para(20(b,1),38(a,1,2))].
% 97.48/97.79 205 multiply(sk_c1,sk_c7) = sk_c6 | multiply(inverse(sk_c4),sk_c6) = multiply(sk_c6,sk_c7). [para(23(b,1),38(a,1,2))].
% 97.48/97.79 206 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(25(b,1),38(a,1,2))].
% 97.48/97.79 207 multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | multiply(inverse(sk_c4),sk_c6) = multiply(sk_c6,sk_c7). [para(27(b,1),38(a,1,2))].
% 97.48/97.79 209 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | sk_c7 != sk_c6. [para(38(a,1),30(h,1))].
% 97.48/97.79 210 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | multiply(A,sk_c6) != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | sk_c7 != sk_c6. [para(38(a,1),31(g,1))].
% 97.48/97.79 211 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c7),identity) = sk_c3. [para(34(b,1),38(a,1,2))].
% 97.48/97.79 212 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(38(a,1),38(a,1,2))].
% 97.48/97.79 213 multiply(A,identity) = A. [back_rewrite(192),rewrite([212(4)])].
% 97.48/97.79 214 inverse(sk_c1) = sk_c7 | inverse(sk_c7) = sk_c3. [back_rewrite(211),rewrite([213(8)])].
% 97.48/97.79 215 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = A. [back_rewrite(181),rewrite([213(10)])].
% 97.48/97.79 216 inverse(identity) = identity. [para(213(a,1),4(a,1))].
% 97.48/97.79 229 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | multiply(A,multiply(sk_c6,sk_c7)) != sk_c6. [back_rewrite(160),rewrite([216(5)])].
% 97.48/97.79 231 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | inverse(B) != sk_c6 | multiply(B,multiply(sk_c6,sk_c7)) != sk_c6. [back_rewrite(117),rewrite([216(5)])].
% 97.48/97.79 235 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = sk_c4. [para(35(b,1),38(a,1,2)),rewrite([213(8)])].
% 97.48/97.79 243 inverse(sk_c2) = sk_c6 | inverse(sk_c6) = sk_c4. [para(37(b,1),38(a,1,2)),rewrite([213(8)])].
% 97.48/97.79 257 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != identity | inverse(inverse(sk_c6)) != sk_c6. [para(38(a,1),229(e,1)),rewrite([4(13)]),merge(e)].
% 97.48/97.79 260 multiply(A,inverse(A)) = identity. [para(212(a,1),4(a,1))].
% 97.48/97.79 277 multiply(A,multiply(inverse(A),B)) = B. [para(212(a,1),38(a,1))].
% 97.48/97.79 278 inverse(inverse(A)) = A. [para(212(a,1),213(a,1)),rewrite([213(2)]),flip(a)].
% 97.48/97.79 283 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != identity. [back_rewrite(257),rewrite([278(14)]),xx(d)].
% 97.48/97.79 285 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [back_rewrite(210),rewrite([278(23)]),xx(f)].
% 97.48/97.79 286 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | sk_c7 != sk_c6. [back_rewrite(209),rewrite([278(26)]),xx(g)].
% 97.48/97.79 295 inverse(sk_c7) = sk_c3 | inverse(sk_c7) = sk_c1. [para(214(a,1),278(a,1,1))].
% 97.48/97.79 298 inverse(sk_c6) = sk_c4 | inverse(sk_c6) = sk_c2. [para(243(a,1),278(a,1,1))].
% 97.48/97.79 299 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c7) = identity. [para(5(b,1),260(a,1,2))].
% 97.48/97.79 300 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = identity. [para(6(b,1),260(a,1,2))].
% 97.48/97.79 302 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(8(b,1),260(a,1,2))].
% 97.48/97.79 303 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(260(a,1),28(a,1)),flip(a)].
% 97.48/97.79 304 inverse(sk_c7) = sk_c3 | multiply(sk_c1,sk_c7) = identity. [para(214(a,1),260(a,1,2))].
% 97.48/97.79 305 inverse(sk_c6) = sk_c4 | multiply(sk_c1,sk_c7) = identity. [para(235(a,1),260(a,1,2))].
% 97.48/97.79 311 inverse(sk_c3) = sk_c7 | multiply(inverse(sk_c6),multiply(sk_c1,sk_c7)) = identity. [para(4(a,1),40(b,2))].
% 97.48/97.79 320 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c7,A)) = A. [para(5(b,1),277(a,1,2,1))].
% 97.48/97.79 321 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(6(b,1),277(a,1,2,1))].
% 97.48/97.79 323 inverse(sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(8(b,1),277(a,1,2,1))].
% 97.48/97.79 331 inverse(sk_c7) = sk_c1 | multiply(sk_c3,sk_c7) = identity. [para(295(a,1),4(a,1,1))].
% 97.48/97.79 337 inverse(sk_c7) = sk_c1 | multiply(sk_c7,multiply(sk_c3,A)) = A. [para(295(a,1),277(a,1,2,1))].
% 97.48/97.79 387 inverse(sk_c6) = sk_c2 | multiply(sk_c4,sk_c6) = identity. [para(298(a,1),4(a,1,1))].
% 97.48/97.79 388 inverse(sk_c6) = sk_c2 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(298(a,1),38(a,1,1))].
% 97.48/97.79 390 inverse(sk_c6) = sk_c2 | multiply(sk_c6,sk_c4) = identity. [para(298(a,1),260(a,1,2))].
% 97.48/97.79 391 inverse(sk_c6) = sk_c2 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(298(a,1),277(a,1,2,1))].
% 97.48/97.79 446 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c6,sk_c3)) = identity. [para(34(b,1),43(b,2)),merge(b)].
% 97.48/97.79 448 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c4) = sk_c3. [para(35(b,1),43(b,1,2)),rewrite([213(11)]),flip(c),merge(b)].
% 97.48/97.79 450 inverse(sk_c1) = sk_c7 | multiply(sk_c7,inverse(sk_c6)) = sk_c3. [para(260(a,1),43(b,1,2)),rewrite([213(7)]),flip(b)].
% 97.48/97.79 532 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(300(b,1),28(a,2,2)),rewrite([28(8),213(10)])].
% 97.48/97.79 544 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(302(b,1),28(a,2,2)),rewrite([28(8),213(10)])].
% 97.48/97.79 559 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c3,sk_c6)) = identity. [para(299(b,1),44(b,2)),merge(b)].
% 97.48/97.79 611 inverse(sk_c7) = sk_c3 | identity = sk_c6 | inverse(sk_c3) = sk_c7. [para(304(b,1),9(a,1))].
% 97.48/97.79 619 inverse(sk_c6) = sk_c4 | identity = sk_c6 | inverse(sk_c4) = sk_c6. [para(305(b,1),10(a,1))].
% 97.48/97.79 652 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = multiply(sk_c6,sk_c3). [para(34(b,1),45(b,1,2,2)),rewrite([213(12)]),merge(b)].
% 97.48/97.79 699 inverse(sk_c7) = sk_c1 | multiply(A,multiply(sk_c3,sk_c7)) = A. [para(331(b,1),28(a,2,2)),rewrite([28(8),213(10)])].
% 97.48/97.79 796 inverse(sk_c6) = sk_c2 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(387(b,1),28(a,2,2)),rewrite([28(8),213(10)])].
% 97.48/97.79 804 inverse(sk_c6) = sk_c2 | multiply(A,multiply(sk_c6,sk_c4)) = A. [para(390(b,1),28(a,2,2)),rewrite([28(8),213(10)])].
% 97.48/97.79 810 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c7),sk_c3) = sk_c4. [para(448(b,1),38(a,1,2))].
% 97.48/97.79 977 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c7) = sk_c6. [para(5(b,1),198(b,1,1)),merge(b)].
% 97.48/97.79 992 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c6,sk_c7)) = sk_c6. [para(977(b,1),43(b,2)),merge(b)].
% 97.48/97.79 1014 inverse(sk_c3) = sk_c7 | multiply(inverse(sk_c6),multiply(sk_c2,sk_c6)) = sk_c7. [para(38(a,1),48(b,2))].
% 97.48/97.79 1146 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(303(a,1),38(a,1,2)),rewrite([213(3)]),flip(a)].
% 97.48/97.79 1171 inverse(sk_c2) = sk_c6 | multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c3). [para(18(b,1),1146(a,1,2,1))].
% 97.48/97.79 1173 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c3). [para(21(b,1),1146(a,1,2,1))].
% 97.48/97.79 1180 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(1146(a,1),38(a,1,2)),flip(a)].
% 97.48/97.79 2403 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c3) = inverse(sk_c6). [para(450(b,1),320(b,1,2)),merge(b)].
% 97.48/97.79 2551 inverse(sk_c1) = sk_c7 | sk_c7 = sk_c6. [para(321(b,1),13(b,1)),merge(b)].
% 97.48/97.79 2563 sk_c7 = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(2551(a,1),260(a,1,2))].
% 97.48/97.79 2963 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6. [para(38(a,1),231(f,1)),rewrite([278(18)]),xx(e),merge(e)].
% 97.48/97.79 3114 sk_c7 != sk_c6 | identity != sk_c7 | multiply(A,multiply(B,sk_c6)) != multiply(sk_c6,sk_c7) | multiply(inverse(B),inverse(A)) != sk_c6. [para(28(a,1),2963(c,2)),rewrite([1180(15)]),flip(c)].
% 97.48/97.79 3124 sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c6,sk_c7) != A | multiply(sk_c6,inverse(A)) != sk_c6. [para(4(a,1),3114(c,1,2)),rewrite([213(8),278(13)]),flip(c)].
% 97.48/97.79 3185 sk_c7 != sk_c6 | identity != sk_c7 | inverse(A) != multiply(sk_c6,sk_c7) | multiply(sk_c6,A) != sk_c6. [para(278(a,1),3124(d,1,2)),flip(c)].
% 97.48/97.79 3272 sk_c7 != sk_c6 | identity != sk_c7 | multiply(inverse(A),sk_c6) != multiply(sk_c6,sk_c7) | sk_c6 != A. [para(277(a,1),3185(d,1)),rewrite([1180(10),278(10)]),flip(d)].
% 97.48/97.79 4301 inverse(sk_c2) = sk_c6 | sk_c7 = sk_c6. [para(323(b,1),20(b,1)),merge(b)].
% 97.48/97.79 4512 sk_c7 = sk_c6 | multiply(sk_c6,multiply(sk_c2,A)) = A. [para(4301(a,1),38(a,1,1))].
% 97.48/97.79 4513 sk_c7 = sk_c6 | inverse(sk_c6) = sk_c2. [para(4301(a,1),278(a,1,1))].
% 97.48/97.79 4514 sk_c7 = sk_c6 | multiply(sk_c2,sk_c6) = identity. [para(4301(a,1),260(a,1,2))].
% 97.48/97.79 4873 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(B,multiply(C,sk_c6)) != multiply(sk_c6,sk_c7) | multiply(inverse(C),inverse(B)) != sk_c6 | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),285(c,2)),rewrite([1180(16)]),flip(c)].
% 97.48/97.79 5668 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c3) = inverse(sk_c3). [para(446(b,1),38(a,1,2)),rewrite([213(8)]),flip(b)].
% 97.48/97.79 5670 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c3) = sk_c7. [para(446(b,1),180(b,1,2)),rewrite([213(11)]),flip(c),merge(b)].
% 97.48/97.79 5678 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c3. [para(5670(b,1),321(b,1,2)),merge(b)].
% 97.48/97.79 5684 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c4),sk_c3) = sk_c7. [para(5678(b,1),38(a,1,2))].
% 97.48/97.79 5863 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = inverse(sk_c3). [para(559(b,1),38(a,1,2)),rewrite([213(8)]),flip(b)].
% 97.48/97.79 5897 inverse(sk_c7) = sk_c3 | identity = sk_c6. [para(611(c,1),278(a,1,1)),merge(c)].
% 97.48/97.79 5902 identity = sk_c6 | multiply(sk_c7,multiply(sk_c3,A)) = A. [para(5897(a,1),277(a,1,2,1))].
% 97.48/97.79 6201 inverse(sk_c6) = sk_c4 | identity = sk_c6. [para(619(c,1),278(a,1,1)),merge(c)].
% 97.48/97.79 6203 identity = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(6201(a,1),38(a,1,1))].
% 97.48/97.79 6204 identity = sk_c6 | inverse(sk_c4) = sk_c6. [para(6201(a,1),278(a,1,1))].
% 97.48/97.79 6293 identity = sk_c6 | multiply(sk_c1,sk_c7) = sk_c6 | sk_c7 = sk_c6. [para(6203(b,1),23(b,1))].
% 97.48/97.79 6690 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c3) = identity. [para(652(b,1),300(b,1)),merge(b)].
% 97.48/97.79 6697 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c7. [para(5670(b,1),652(b,2)),merge(b)].
% 97.48/97.79 6698 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = inverse(sk_c3). [para(5668(b,1),652(b,2)),merge(b)].
% 97.48/97.79 6704 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c3) = sk_c3. [para(6690(b,1),43(b,1,2)),rewrite([213(11)]),flip(c),merge(b)].
% 97.48/97.79 6712 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = identity. [para(6690(b,1),5668(b,1)),flip(c),merge(b)].
% 97.48/97.79 7072 inverse(sk_c1) = sk_c7 | multiply(sk_c3,A) = A. [para(6712(b,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 7263 inverse(sk_c1) = sk_c7 | multiply(A,sk_c7) = A. [para(6697(b,1),532(b,1,2)),merge(b)].
% 97.48/97.79 7271 inverse(sk_c1) = sk_c7 | multiply(A,sk_c3) = A. [para(6704(b,1),215(b,1,2)),merge(b)].
% 97.48/97.79 7392 inverse(sk_c1) = sk_c7 | multiply(sk_c7,A) = A. [para(7072(b,1),180(b,1,2)),merge(b)].
% 97.48/97.79 7402 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c6. [para(7072(b,1),5863(b,1)),flip(c),merge(b)].
% 97.48/97.79 7412 inverse(sk_c1) = sk_c7 | identity = sk_c6. [para(7402(b,1),6712(b,1)),flip(c),merge(b)].
% 97.48/97.79 7415 identity = sk_c6 | inverse(sk_c7) = sk_c1. [para(7412(a,1),278(a,1,1))].
% 97.48/97.79 7416 identity = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(7412(a,1),260(a,1,2))].
% 97.48/97.79 7446 identity = sk_c6 | sk_c3 = sk_c1. [para(7415(b,1),5897(a,1)),flip(b),merge(c)].
% 97.48/97.79 7474 sk_c3 = sk_c1 | inverse(sk_c6) = identity. [para(7446(a,1),216(a,1,1))].
% 97.48/97.79 7787 inverse(sk_c1) = sk_c7 | inverse(sk_c7) = identity. [para(7263(b,1),4(a,1))].
% 97.48/97.79 7788 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c6. [para(7263(b,1),13(b,1,2)),merge(b)].
% 97.48/97.79 7890 inverse(sk_c7) = identity | inverse(sk_c7) = sk_c1. [para(7787(a,1),278(a,1,1))].
% 97.48/97.79 7938 inverse(sk_c7) = sk_c1 | multiply(sk_c7,A) = A. [para(7890(a,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 8001 inverse(sk_c1) = sk_c7 | inverse(sk_c7) = sk_c4. [para(7271(b,1),810(b,1)),merge(b)].
% 97.48/97.79 8007 inverse(sk_c7) = sk_c4 | inverse(sk_c7) = sk_c1. [para(8001(a,1),278(a,1,1))].
% 97.48/97.79 8174 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c7),A) = A. [para(7392(b,1),38(a,1,2))].
% 97.48/97.79 8288 inverse(sk_c1) = sk_c7 | multiply(A,sk_c6) = A. [para(7788(b,1),532(b,1,2)),merge(b)].
% 97.48/97.79 8418 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c7),A) = A. [para(7938(b,1),38(a,1,2))].
% 97.48/97.79 8569 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = identity. [para(8288(b,1),4(a,1))].
% 97.48/97.79 8583 inverse(sk_c1) = sk_c7 | multiply(A,sk_c4) = A. [para(8288(b,1),532(b,1,2)),merge(b)].
% 97.48/97.79 8584 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c3) = sk_c4. [para(8288(b,1),652(b,1)),flip(c),merge(b)].
% 97.48/97.79 8677 inverse(sk_c6) = identity | multiply(sk_c1,sk_c7) = identity. [para(8569(a,1),260(a,1,2))].
% 97.48/97.79 8885 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = identity. [para(8583(b,1),4(a,1))].
% 97.48/97.79 8896 inverse(sk_c1) = sk_c7 | multiply(sk_c4,A) = A. [para(8885(b,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 8913 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c4. [para(8584(b,1),5668(b,1)),flip(c),merge(b)].
% 97.48/97.79 8916 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c3. [para(8913(b,1),278(a,1,1))].
% 97.48/97.79 8927 multiply(A,multiply(B,sk_c7)) != sk_c6 | multiply(inverse(B),inverse(A)) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(C,sk_c6) | inverse(C) != sk_c6 | inverse(D) != sk_c7 | multiply(D,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),286(a,1)),rewrite([1180(7)])].
% 97.48/97.79 8938 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c3) = sk_c7. [para(8916(b,1),5684(b,1,1)),merge(b)].
% 97.48/97.79 9034 inverse(sk_c1) = sk_c7 | multiply(sk_c6,A) = A. [para(8896(b,1),193(b,1,2)),merge(b)].
% 97.48/97.79 9080 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = sk_c7. [para(8938(b,1),2403(b,1)),flip(c),merge(b)].
% 97.48/97.79 9090 inverse(sk_c6) = sk_c7 | inverse(sk_c7) = sk_c1. [para(9080(a,1),278(a,1,1))].
% 97.48/97.79 9117 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c6),A) = A. [para(9034(b,1),38(a,1,2))].
% 97.48/97.79 9181 inverse(sk_c1) = sk_c7 | multiply(A,inverse(sk_c3)) = A. [para(6698(b,1),532(b,1,2)),merge(b)].
% 97.48/97.79 9591 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c7) = inverse(sk_c4). [para(199(b,1),8288(b,1)),merge(b)].
% 97.48/97.79 9882 multiply(sk_c1,sk_c7) = sk_c6 | sk_c7 != sk_c6 | identity != sk_c7 | sk_c4 != sk_c6. [resolve(205,b,3272,c),flip(d)].
% 97.48/97.79 11284 inverse(sk_c7) = sk_c1 | multiply(sk_c4,A) = A. [para(8007(a,1),8418(b,1,1)),merge(b)].
% 97.48/97.79 11290 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c4),A) = A. [para(11284(b,1),38(a,1,2))].
% 97.48/97.79 11451 inverse(sk_c6) = identity | inverse(sk_c3) = sk_c7. [para(8677(b,1),311(b,1,2)),rewrite([213(12)]),merge(c)].
% 97.48/97.79 11467 inverse(sk_c6) = identity | multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7) | multiply(sk_c7,sk_c7) = sk_c6. [para(11451(b,1),206(b,1,1))].
% 97.48/97.79 11818 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(sk_c6,sk_c7) != B | multiply(sk_c6,inverse(B)) != sk_c6 | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(4(a,1),4873(c,1,2)),rewrite([213(9),278(14)]),flip(c)].
% 97.48/97.79 11842 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(B) != multiply(sk_c6,sk_c7) | multiply(sk_c6,B) != sk_c6 | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(278(a,1),11818(d,1,2)),flip(c)].
% 97.48/97.79 11847 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(inverse(B),sk_c6) != multiply(sk_c6,sk_c7) | sk_c6 != B | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(277(a,1),11842(d,1)),rewrite([1180(11),278(11)]),flip(d)].
% 97.48/97.79 11866 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(inverse(B),multiply(inverse(C),sk_c6)) != multiply(sk_c6,sk_c7) | multiply(C,B) != sk_c6 | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(1180(a,1),11847(c,1,1)),rewrite([28(12)]),flip(d)].
% 97.48/97.79 11867 multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(inverse(sk_c7),multiply(inverse(A),sk_c6)) != multiply(sk_c6,sk_c7) | multiply(A,sk_c6) != sk_c7 | sk_c7 != sk_c6. [factor(11866,a,d)].
% 97.48/97.79 11868 sk_c7 != sk_c6 | identity != sk_c7 | multiply(inverse(sk_c7),sk_c6) != multiply(sk_c6,sk_c7). [para(216(a,1),11867(c,1,2,1)),rewrite([1(3),216(5),1(11),1(17)]),flip(d),merge(d),merge(e)].
% 97.48/97.79 11880 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = inverse(sk_c7). [para(9181(b,1),8174(b,1)),flip(c),merge(b)].
% 97.48/97.79 11882 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = inverse(sk_c6). [para(9181(b,1),9117(b,1)),flip(c),merge(b)].
% 97.48/97.79 11909 inverse(sk_c1) = sk_c7 | inverse(sk_c7) = inverse(sk_c6). [para(11882(b,1),11880(b,1)),flip(c),merge(b)].
% 97.48/97.79 11925 inverse(sk_c7) = inverse(sk_c6) | inverse(sk_c7) = sk_c1. [para(11909(a,1),278(a,1,1))].
% 97.48/97.79 14108 inverse(sk_c7) = sk_c1 | multiply(sk_c3,sk_c7) = inverse(sk_c7). [para(699(b,1),8418(b,1)),flip(c),merge(b)].
% 97.48/97.79 14109 inverse(sk_c7) = sk_c1 | multiply(sk_c3,sk_c7) = sk_c4. [para(699(b,1),11284(b,1)),flip(c),merge(b)].
% 97.48/97.79 14111 inverse(sk_c7) = sk_c1 | multiply(sk_c3,sk_c7) = inverse(sk_c4). [para(699(b,1),11290(b,1)),flip(c),merge(b)].
% 97.48/97.79 14124 inverse(sk_c7) = sk_c1 | multiply(A,sk_c4) = A. [para(14109(b,1),699(b,1,2)),merge(b)].
% 97.48/97.79 14168 inverse(sk_c7) = sk_c1 | multiply(sk_c7,sk_c3) = sk_c4. [para(14124(b,1),337(b,1,2)),merge(b)].
% 97.48/97.79 14196 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c7),sk_c4) = sk_c3. [para(14168(b,1),38(a,1,2))].
% 97.48/97.79 14240 inverse(sk_c7) = sk_c1 | inverse(sk_c4) = inverse(sk_c7). [para(14111(b,1),14108(b,1)),merge(b)].
% 97.48/97.79 14246 inverse(sk_c7) = sk_c1 | inverse(sk_c4) = inverse(sk_c6). [para(11925(a,1),14240(b,2)),merge(b)].
% 97.48/97.79 14345 inverse(sk_c7) = sk_c1 | multiply(sk_c4,sk_c4) = sk_c3. [para(8007(a,1),14196(b,1,1)),merge(b)].
% 97.48/97.79 14349 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c4),sk_c3) = sk_c4. [para(14345(b,1),38(a,1,2))].
% 97.48/97.79 14511 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c6),sk_c3) = sk_c4. [para(14246(b,1),14349(b,1,1)),merge(b)].
% 97.48/97.79 14675 inverse(sk_c7) = sk_c1 | multiply(inverse(sk_c3),sk_c6) = inverse(sk_c4). [para(14511(b,1),1180(a,1,1)),rewrite([278(11)]),flip(b)].
% 97.48/97.79 14765 inverse(sk_c1) = sk_c7 | multiply(sk_c3,inverse(sk_c4)) = sk_c6. [para(9591(b,1),992(b,1,2)),merge(b)].
% 97.48/97.79 14768 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c6) = inverse(sk_c4). [para(14765(b,1),180(b,1,2)),merge(b)].
% 97.48/97.79 14853 inverse(sk_c2) = sk_c6 | multiply(sk_c6,inverse(sk_c7)) = sk_c7. [para(7(b,1),1171(b,2)),merge(b)].
% 97.48/97.79 14869 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c7. [para(14853(b,1),53(b,2)),rewrite([260(14),213(12)]),merge(b)].
% 97.48/97.79 14896 inverse(sk_c2) = sk_c6 | multiply(A,sk_c7) = A. [para(14869(b,1),544(b,1,2)),merge(b)].
% 97.48/97.79 14952 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = identity. [para(14896(b,1),4(a,1))].
% 97.48/97.79 14953 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c6. [para(14896(b,1),20(b,1,2)),merge(b)].
% 97.48/97.79 14957 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c6. [para(14896(b,1),202(b,1)),merge(b)].
% 97.48/97.79 15051 inverse(sk_c7) = identity | inverse(sk_c6) = sk_c2. [para(14952(a,1),278(a,1,1))].
% 97.48/97.79 15090 inverse(sk_c6) = sk_c2 | multiply(sk_c7,A) = A. [para(15051(a,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 15243 inverse(sk_c2) = sk_c6 | identity = sk_c6. [para(14953(b,1),302(b,1)),flip(c),merge(b)].
% 97.48/97.79 15247 inverse(sk_c2) = sk_c6 | multiply(A,sk_c6) = A. [para(14953(b,1),544(b,1,2)),merge(b)].
% 97.48/97.79 15252 identity = sk_c6 | inverse(sk_c6) = sk_c2. [para(15243(a,1),278(a,1,1))].
% 97.48/97.79 15276 identity = sk_c6 | sk_c4 = sk_c2. [para(15252(b,1),6201(a,1)),flip(b),merge(c)].
% 97.48/97.79 15279 sk_c4 = sk_c2 | multiply(sk_c6,A) = A. [para(15276(a,1),1(a,1,1))].
% 97.48/97.79 15431 sk_c4 = sk_c2 | sk_c7 != sk_c6 | identity != sk_c7. [para(15279(b,1),283(c,1)),flip(d),merge(d)].
% 97.48/97.79 15716 inverse(sk_c6) = sk_c2 | multiply(sk_c4,sk_c6) = sk_c7. [para(15090(b,1),796(b,1)),merge(b)].
% 97.48/97.79 15772 inverse(sk_c2) = sk_c6 | inverse(sk_c6) = identity. [para(15247(b,1),4(a,1))].
% 97.48/97.79 15786 inverse(sk_c2) = sk_c6 | multiply(A,sk_c4) = A. [para(15247(b,1),544(b,1,2)),merge(b)].
% 97.48/97.79 15787 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c7) = inverse(sk_c4). [para(15247(b,1),203(b,1)),flip(c),merge(b)].
% 97.48/97.79 15897 inverse(sk_c6) = identity | inverse(sk_c6) = sk_c2. [para(15772(a,1),278(a,1,1))].
% 97.48/97.79 16000 inverse(sk_c6) = sk_c2 | multiply(sk_c6,A) = A. [para(15897(a,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 16099 sk_c4 = sk_c2 | sk_c7 != sk_c6. [para(15276(a,1),15431(c,1)),flip(d),merge(b),merge(d)].
% 97.48/97.79 16235 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c4),sk_c7) = sk_c6. [para(15716(b,1),38(a,1,2))].
% 97.48/97.79 16258 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = identity. [para(15786(b,1),4(a,1))].
% 97.48/97.79 16278 inverse(sk_c2) = sk_c6 | multiply(sk_c4,A) = A. [para(16258(b,1),38(a,1,1)),rewrite([1(8)])].
% 97.48/97.79 16321 inverse(sk_c6) = sk_c2 | multiply(sk_c4,A) = A. [para(16000(b,1),388(b,1,2)),merge(b)].
% 97.48/97.79 16328 inverse(sk_c6) = sk_c2 | multiply(A,sk_c4) = A. [para(16000(b,1),804(b,1,2)),merge(b)].
% 97.48/97.79 16364 inverse(sk_c2) = sk_c6 | multiply(sk_c6,A) = A. [para(16278(b,1),195(b,1,2)),merge(b)].
% 97.48/97.79 16375 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c4),A) = A. [para(16321(b,1),38(a,1,2))].
% 97.48/97.79 16402 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = inverse(sk_c7). [para(16364(b,1),1171(b,1)),flip(c),merge(b)].
% 97.48/97.79 16426 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = sk_c6. [para(16402(b,1),14957(b,1)),merge(b)].
% 97.48/97.79 16438 inverse(sk_c7) = sk_c6 | inverse(sk_c6) = sk_c2. [para(16426(a,1),278(a,1,1))].
% 97.48/97.79 16443 inverse(sk_c6) = sk_c2 | inverse(sk_c6) = sk_c7. [para(16438(a,1),278(a,1,1))].
% 97.48/97.79 16447 inverse(sk_c6) = sk_c7 | multiply(sk_c2,sk_c6) = identity. [para(16443(a,1),4(a,1,1))].
% 97.48/97.79 17019 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c7) = identity. [para(16258(b,1),15787(b,2)),merge(b)].
% 97.48/97.79 17020 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c7. [para(15787(b,1),16364(b,1)),merge(b)].
% 97.48/97.79 17033 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c4),sk_c6) = identity. [para(17019(b,1),203(b,2)),merge(b)].
% 97.48/97.79 17641 inverse(sk_c6) = sk_c2 | inverse(sk_c4) = sk_c4. [para(16375(b,1),16328(b,1)),flip(c),merge(b)].
% 97.48/97.79 17658 inverse(sk_c6) = sk_c2 | multiply(sk_c4,sk_c7) = sk_c6. [para(17641(b,1),16235(b,1,1)),merge(b)].
% 97.48/97.79 17666 inverse(sk_c6) = sk_c2 | multiply(sk_c6,sk_c6) = sk_c7. [para(17658(b,1),391(b,1,2)),merge(b)].
% 97.48/97.79 17684 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c6),sk_c7) = sk_c6. [para(17666(b,1),38(a,1,2))].
% 97.48/97.79 17888 inverse(sk_c6) = sk_c7 | inverse(sk_c3) = sk_c7. [para(16447(b,1),1014(b,1,2)),rewrite([213(12)]),merge(c)].
% 97.48/97.79 17910 inverse(sk_c6) = sk_c7 | inverse(sk_c7) = sk_c3. [para(17888(b,1),278(a,1,1))].
% 97.48/97.79 17925 inverse(sk_c6) = sk_c7 | sk_c3 = sk_c1. [para(17910(b,1),9090(b,1)),merge(b)].
% 97.48/97.79 17934 sk_c3 = sk_c1 | identity = sk_c7. [para(17925(a,1),7474(b,1)),flip(c),merge(b)].
% 97.48/97.79 17972 sk_c3 = sk_c1 | inverse(sk_c7) = identity. [para(17934(b,1),216(a,1,1))].
% 97.48/97.79 18110 sk_c3 = sk_c1 | inverse(sk_c7) = sk_c7. [para(17934(b,1),17972(b,2)),merge(b)].
% 97.48/97.79 18111 sk_c3 = sk_c1 | multiply(sk_c7,sk_c7) = identity. [para(18110(b,1),4(a,1,1))].
% 97.48/97.79 18238 sk_c3 = sk_c1 | multiply(sk_c7,sk_c7) = sk_c6. [para(7446(a,1),18111(b,2)),merge(b)].
% 97.48/97.79 19367 inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c6) = identity. [para(17020(b,1),17033(b,1,1)),merge(b)].
% 97.48/97.79 19475 multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c3) | identity = sk_c6. [para(1173(a,1),7416(b,1)),flip(c),merge(c)].
% 97.48/97.79 19843 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c7),sk_c6) = inverse(sk_c6). [para(17684(b,1),1180(a,1,1)),rewrite([278(11)]),flip(b)].
% 97.48/97.79 19967 sk_c6 != A | multiply(sk_c7,inverse(A)) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(4(a,1),8927(a,1,2)),rewrite([213(2),278(5)]),flip(a)].
% 97.48/97.79 19973 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(278(a,1),19967(b,1,2)),flip(a)].
% 97.48/97.79 19975 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | sk_c7 != sk_c6. [factor(19973,a,d)].
% 97.48/97.79 20038 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | multiply(inverse(B),inverse(C)) != sk_c7 | multiply(C,multiply(B,sk_c6)) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),19975(e,1)),rewrite([1180(15)])].
% 97.48/97.79 20207 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | multiply(inverse(C),inverse(D)) != sk_c7 | multiply(D,multiply(C,sk_c6)) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),19973(f,1)),rewrite([1180(18)])].
% 97.48/97.79 20209 multiply(inverse(sk_c6),inverse(A)) != sk_c6 | multiply(sk_c7,multiply(A,sk_c6)) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(B,sk_c6) | inverse(B) != sk_c6 | multiply(inverse(A),inverse(sk_c7)) != sk_c7 | sk_c7 != sk_c6. [factor(20207,b,f),rewrite([1180(3)])].
% 97.48/97.79 20596 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | multiply(sk_c6,inverse(B)) != sk_c7 | sk_c7 != B | sk_c7 != sk_c6. [para(4(a,1),20038(e,1,2)),rewrite([278(16),213(20)]),flip(e)].
% 97.48/97.79 20601 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | multiply(sk_c6,B) != sk_c7 | inverse(B) != sk_c7 | sk_c7 != sk_c6. [para(278(a,1),20596(d,1,2)),flip(e)].
% 97.48/97.79 20667 inverse(A) != sk_c6 | multiply(sk_c7,A) != sk_c7 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | multiply(inverse(sk_c7),sk_c6) != sk_c7 | sk_c7 != sk_c6. [resolve(20601,d,277,a),rewrite([1180(18),278(18)])].
% 97.48/97.79 20673 multiply(inverse(A),sk_c7) != sk_c6 | sk_c7 != A | multiply(inverse(sk_c7),multiply(A,sk_c6)) != multiply(sk_c6,sk_c7) | multiply(inverse(sk_c7),sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(277(a,1),20667(b,1)),rewrite([1180(4),278(4),28(15)]),flip(b),flip(c)].
% 97.48/97.79 20825 multiply(inverse(A),multiply(inverse(B),sk_c7)) != sk_c6 | multiply(B,A) != sk_c7 | multiply(inverse(sk_c7),multiply(B,multiply(A,sk_c6))) != multiply(sk_c6,sk_c7) | multiply(inverse(sk_c7),sk_c6) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),20673(c,1,2)),rewrite([1180(2),28(5)]),flip(b)].
% 97.48/97.79 20826 multiply(inverse(sk_c6),multiply(sk_c7,sk_c7)) != sk_c6 | multiply(inverse(sk_c7),sk_c6) != sk_c7 | multiply(inverse(sk_c7),multiply(inverse(sk_c7),multiply(sk_c6,sk_c6))) != multiply(sk_c6,sk_c7) | sk_c7 != sk_c6. [factor(20825,b,d),rewrite([278(5)])].
% 97.48/97.79 21405 identity = sk_c6 | multiply(sk_c4,inverse(sk_c3)) = inverse(sk_c7). [para(19475(a,1),6203(b,1,2)),merge(b)].
% 97.48/97.79 22054 identity != sk_c6 | multiply(sk_c6,sk_c7) != multiply(A,sk_c6) | inverse(A) != sk_c6 | multiply(sk_c6,inverse(sk_c7)) != sk_c7 | sk_c7 != sk_c6. [para(4(a,1),20209(b,1,2)),rewrite([278(5),4(4),213(6),278(18)]),xx(b)].
% 97.48/97.79 22065 identity != sk_c6 | multiply(A,multiply(B,sk_c6)) != multiply(sk_c6,sk_c7) | multiply(inverse(B),inverse(A)) != sk_c6 | multiply(sk_c6,inverse(sk_c7)) != sk_c7 | sk_c7 != sk_c6. [para(28(a,1),22054(b,2)),rewrite([1180(12)]),flip(b)].
% 97.48/97.79 22066 identity != sk_c6 | multiply(sk_c6,sk_c7) != A | multiply(sk_c6,inverse(A)) != sk_c6 | multiply(sk_c6,inverse(sk_c7)) != sk_c7 | sk_c7 != sk_c6. [para(4(a,1),22065(b,1,2)),rewrite([213(5),278(10)]),flip(b)].
% 97.48/97.79 22068 identity != sk_c6 | multiply(sk_c6,multiply(inverse(sk_c7),inverse(sk_c6))) != sk_c6 | multiply(sk_c6,inverse(sk_c7)) != sk_c7 | sk_c7 != sk_c6. [resolve(22066,b,278,a(flip)),rewrite([1180(8),1180(10),278(7),278(8),1180(8)])].
% 97.48/97.79 22389 identity = sk_c6 | multiply(sk_c3,inverse(sk_c4)) = sk_c7. [para(21405(b,1),1180(a,1,1)),rewrite([278(6),278(7)]),flip(b)].
% 97.48/97.79 22400 identity = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7. [para(6204(b,1),22389(b,1,2)),merge(b)].
% 97.48/97.79 22407 identity = sk_c6 | multiply(sk_c7,sk_c7) = sk_c6. [para(22400(b,1),5902(b,1,2)),merge(b)].
% 97.48/97.79 22411 identity = sk_c6 | multiply(inverse(sk_c7),sk_c6) = sk_c7. [para(22407(b,1),38(a,1,2))].
% 97.48/97.79 23622 identity = sk_c6 | sk_c7 = sk_c6. [para(6293(b,1),2563(b,1)),flip(d),merge(c),merge(d)].
% 97.48/97.79 23635 sk_c7 = sk_c6 | inverse(sk_c6) = identity. [para(23622(a,1),216(a,1,1))].
% 97.48/97.79 23659 sk_c7 = sk_c6 | identity = sk_c2. [para(23635(b,1),4513(b,1)),merge(b)].
% 97.48/97.79 23684 sk_c7 = sk_c6 | sk_c2 = sk_c6. [para(23659(b,1),23622(a,1)),merge(c)].
% 97.48/97.79 23691 sk_c7 = sk_c6 | multiply(sk_c6,multiply(sk_c6,A)) = A. [para(23684(b,1),4512(b,1,2,1)),merge(b)].
% 97.48/97.79 23699 sk_c7 = sk_c6 | inverse(sk_c4) = sk_c6. [para(23684(b,1),201(b,1,1,1)),rewrite([38(13)]),merge(c)].
% 97.48/97.79 23726 sk_c7 = sk_c6 | inverse(sk_c6) = sk_c4. [para(23699(b,1),278(a,1,1))].
% 97.48/97.79 23755 sk_c7 = sk_c6 | identity = sk_c4. [para(23726(b,1),23635(b,1)),flip(c),merge(b)].
% 97.48/97.79 23773 sk_c7 = sk_c6 | inverse(sk_c4) = identity. [para(23755(b,1),216(a,1,1))].
% 97.48/97.79 23787 sk_c7 = sk_c6 | inverse(sk_c4) = sk_c2. [para(23659(b,1),23773(b,2)),merge(b)].
% 97.48/97.79 23808 sk_c7 = sk_c6 | multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c7). [para(23787(b,1),207(b,1,1)),merge(c)].
% 97.48/97.79 28342 sk_c7 = sk_c6 | multiply(sk_c6,sk_c7) = identity. [para(23808(b,1),4514(b,1)),merge(b)].
% 97.48/97.79 28365 sk_c7 = sk_c6. [para(28342(b,1),23691(b,1,2)),rewrite([213(9)]),flip(c),merge(b),merge(c)].
% 97.48/97.79 29678 identity = sk_c6. [back_rewrite(22411),rewrite([28365(4),4(7),28365(5)]),merge(b)].
% 97.48/97.79 29743 inverse(sk_c6) != sk_c6. [back_rewrite(22068),rewrite([29678(1),28365(5),277(10),28365(9),260(11),29678(8),28365(9),28365(11)]),xx(a),xx(c),xx(d)].
% 97.48/97.79 29814 multiply(sk_c6,sk_c6) != sk_c6. [back_rewrite(20826),rewrite([28365(3),28365(4),38(6),28365(4),4(7),29678(4),28365(5),28365(7),28365(9),38(14),4(10),29678(7),28365(9),28365(12)]),flip(c),xx(a),xx(b),xx(d)].
% 97.48/97.79 29821 inverse(sk_c6) = sk_c2. [back_rewrite(19843),rewrite([28365(5),4(8),29678(5)]),flip(b),unit_del(b,29743)].
% 97.48/97.79 29905 inverse(sk_c2) = sk_c6. [back_rewrite(19367),rewrite([28365(5),29678(8)]),unit_del(b,29814)].
% 97.48/97.79 29917 sk_c3 = sk_c1. [back_rewrite(18238),rewrite([28365(4),28365(5)]),unit_del(b,29814)].
% 97.48/97.79 29999 sk_c4 = sk_c2. [back_rewrite(16099),rewrite([28365(4)]),xx(b)].
% 97.48/97.79 30056 inverse(sk_c1) = sk_c6. [back_rewrite(14768),rewrite([28365(3),28365(5),29999(8),29905(9)]),unit_del(b,29814)].
% 97.48/97.79 30092 sk_c2 = sk_c1. [back_rewrite(14675),rewrite([28365(1),29821(2),29917(4),30056(5),29999(7),29905(8)]),unit_del(b,29814)].
% 97.48/97.79 30164 multiply(sk_c1,sk_c6) != multiply(sk_c6,sk_c6). [back_rewrite(11868),rewrite([28365(1),29678(4),28365(5),28365(7),29821(8),30092(7),28365(11)]),xx(a),xx(b)].
% 97.48/97.79 30222 sk_c1 = sk_c6. [back_rewrite(11467),rewrite([29821(2),30092(1),29678(2),30092(4),28365(8),28365(11),28365(12)]),unit_del(b,30164),unit_del(c,29814)].
% 97.48/97.79 30239 $F. [back_rewrite(9882),rewrite([30222(1),28365(2),28365(6),29678(9),28365(10),29999(12),30092(12),30222(12)]),xx(b),xx(c),xx(d),unit_del(a,29814)].
% 97.48/97.79
% 97.48/97.79 % SZS output end Refutation
% 97.48/97.79 ============================== end of proof ==========================
% 97.48/97.79
% 97.48/97.79 ============================== STATISTICS ============================
% 97.48/97.79
% 97.48/97.79 Given=6162. Generated=5463457. Kept=30229. proofs=1.
% 97.48/97.79 Usable=2389. Sos=4175. Demods=20. Limbo=1874, Disabled=21812. Hints=0.
% 97.48/97.79 Megabytes=25.22.
% 97.48/97.79 User_CPU=93.72, System_CPU=3.05, Wall_clock=97.
% 97.48/97.79
% 97.48/97.79 ============================== end of statistics =====================
% 97.48/97.79
% 97.48/97.79 ============================== end of search =========================
% 97.48/97.79
% 97.48/97.79 THEOREM PROVED
% 97.48/97.79 % SZS status Unsatisfiable
% 97.48/97.79
% 97.48/97.79 Exiting with 1 proof.
% 97.48/97.79
% 97.48/97.79 Process 1479 exit (max_proofs) Mon Jun 13 11:26:06 2022
% 97.48/97.79 Prover9 interrupted
%------------------------------------------------------------------------------