TSTP Solution File: GRP229-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP229-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 11:18:14 EDT 2022
% Result : Unsatisfiable 36.32s 36.61s
% Output : Refutation 36.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP229-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 07:24:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 36.32/36.61 ============================== Prover9 ===============================
% 36.32/36.61 Prover9 (32) version 2009-11A, November 2009.
% 36.32/36.61 Process 3894 was started by sandbox2 on n015.cluster.edu,
% 36.32/36.61 Tue Jun 14 07:24:54 2022
% 36.32/36.61 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3740_n015.cluster.edu".
% 36.32/36.61 ============================== end of head ===========================
% 36.32/36.61
% 36.32/36.61 ============================== INPUT =================================
% 36.32/36.61
% 36.32/36.61 % Reading from file /tmp/Prover9_3740_n015.cluster.edu
% 36.32/36.61
% 36.32/36.61 set(prolog_style_variables).
% 36.32/36.61 set(auto2).
% 36.32/36.61 % set(auto2) -> set(auto).
% 36.32/36.61 % set(auto) -> set(auto_inference).
% 36.32/36.61 % set(auto) -> set(auto_setup).
% 36.32/36.61 % set(auto_setup) -> set(predicate_elim).
% 36.32/36.61 % set(auto_setup) -> assign(eq_defs, unfold).
% 36.32/36.61 % set(auto) -> set(auto_limits).
% 36.32/36.61 % set(auto_limits) -> assign(max_weight, "100.000").
% 36.32/36.61 % set(auto_limits) -> assign(sos_limit, 20000).
% 36.32/36.61 % set(auto) -> set(auto_denials).
% 36.32/36.61 % set(auto) -> set(auto_process).
% 36.32/36.61 % set(auto2) -> assign(new_constants, 1).
% 36.32/36.61 % set(auto2) -> assign(fold_denial_max, 3).
% 36.32/36.61 % set(auto2) -> assign(max_weight, "200.000").
% 36.32/36.61 % set(auto2) -> assign(max_hours, 1).
% 36.32/36.61 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 36.32/36.61 % set(auto2) -> assign(max_seconds, 0).
% 36.32/36.61 % set(auto2) -> assign(max_minutes, 5).
% 36.32/36.61 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 36.32/36.61 % set(auto2) -> set(sort_initial_sos).
% 36.32/36.61 % set(auto2) -> assign(sos_limit, -1).
% 36.32/36.61 % set(auto2) -> assign(lrs_ticks, 3000).
% 36.32/36.61 % set(auto2) -> assign(max_megs, 400).
% 36.32/36.61 % set(auto2) -> assign(stats, some).
% 36.32/36.61 % set(auto2) -> clear(echo_input).
% 36.32/36.61 % set(auto2) -> set(quiet).
% 36.32/36.61 % set(auto2) -> clear(print_initial_clauses).
% 36.32/36.61 % set(auto2) -> clear(print_given).
% 36.32/36.61 assign(lrs_ticks,-1).
% 36.32/36.61 assign(sos_limit,10000).
% 36.32/36.61 assign(order,kbo).
% 36.32/36.61 set(lex_order_vars).
% 36.32/36.61 clear(print_given).
% 36.32/36.61
% 36.32/36.61 % formulas(sos). % not echoed (34 formulas)
% 36.32/36.61
% 36.32/36.61 ============================== end of input ==========================
% 36.32/36.61
% 36.32/36.61 % From the command line: assign(max_seconds, 300).
% 36.32/36.61
% 36.32/36.61 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 36.32/36.61
% 36.32/36.61 % Formulas that are not ordinary clauses:
% 36.32/36.61
% 36.32/36.61 ============================== end of process non-clausal formulas ===
% 36.32/36.61
% 36.32/36.61 ============================== PROCESS INITIAL CLAUSES ===============
% 36.32/36.61
% 36.32/36.61 ============================== PREDICATE ELIMINATION =================
% 36.32/36.61
% 36.32/36.61 ============================== end predicate elimination =============
% 36.32/36.61
% 36.32/36.61 Auto_denials: (non-Horn, no changes).
% 36.32/36.61
% 36.32/36.61 Term ordering decisions:
% 36.32/36.61
% 36.32/36.61 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 36.32/36.61 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c6=1. identity=1. multiply=1. inverse=0.
% 36.32/36.61
% 36.32/36.61 ============================== end of process initial clauses ========
% 36.32/36.61
% 36.32/36.61 ============================== CLAUSES FOR SEARCH ====================
% 36.32/36.61
% 36.32/36.61 ============================== end of clauses for search =============
% 36.32/36.61
% 36.32/36.61 ============================== SEARCH ================================
% 36.32/36.61
% 36.32/36.61 % Starting search at 0.02 seconds.
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=29.000, iters=3368
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=28.000, iters=3354
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=27.000, iters=3353
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=26.000, iters=3349
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=25.000, iters=3345
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=24.000, iters=3469
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=23.000, iters=3342
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=22.000, iters=3362
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=21.000, iters=3333
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=20.000, iters=3360
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=19.000, iters=3349
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=18.000, iters=3462
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=17.000, iters=3371
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=16.000, iters=3367
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=15.000, iters=3334
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=14.000, iters=3334
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=13.000, iters=3337
% 36.32/36.61
% 36.32/36.61 Low Water (keep): wt=12.000, iters=3336
% 36.32/36.61
% 36.32/36.61 ============================== PROOF =================================
% 36.32/36.61 % SZS status Unsatisfiable
% 36.32/36.61 % SZS output start Refutation
% 36.32/36.61
% 36.32/36.61 % Proof 1 at 34.35 (+ 1.25) seconds.
% 36.32/36.61 % Length of proof is 204.
% 36.32/36.61 % Level of proof is 33.
% 36.32/36.61 % Maximum clause weight is 50.000.
% 36.32/36.61 % Given clauses 4445.
% 36.32/36.61
% 36.32/36.61 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 36.32/36.61 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 36.32/36.61 3 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 36.32/36.61 4 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 36.32/36.61 5 inverse(sk_c1) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 36.32/36.61 6 inverse(sk_c2) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 36.32/36.61 7 inverse(sk_c2) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 36.32/36.61 8 inverse(sk_c2) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 36.32/36.61 9 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 36.32/36.61 10 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 36.32/36.61 11 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 36.32/36.61 12 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 36.32/36.61 13 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 36.32/36.61 14 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 36.32/36.61 15 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c8) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 36.32/36.61 17 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 36.32/36.61 18 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c8) = sk_c7 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 36.32/36.61 20 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c5) = sk_c8 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 36.32/36.61 21 inverse(sk_c2) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 36.32/36.61 22 inverse(sk_c2) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 36.32/36.61 23 inverse(sk_c2) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 36.32/36.61 24 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 36.32/36.61 28 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 36.32/36.61 29 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 36.32/36.61 31 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 36.32/36.61 32 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 36.32/36.61 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 36.32/36.61 34 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(sk_c8) != sk_c7 | 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].
% 36.32/36.61 35 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(A,sk_c8) != B | inverse(sk_c8) != sk_c7 | 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. [factor(34,a,e)].
% 36.32/36.61 36 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,D) != sk_c7 | multiply(E,sk_c8) != D | inverse(E) != sk_c8. [factor(34,a,g),merge(g)].
% 36.32/36.61 38 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(A,sk_c8) != B | inverse(sk_c8) != sk_c7 | multiply(sk_c8,C) != sk_c7 | multiply(D,sk_c8) != C | inverse(D) != sk_c8. [factor(35,a,f),merge(f)].
% 36.32/36.61 41 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | inverse(sk_c8) != sk_c7. [factor(36,d,h),merge(g),merge(h)].
% 36.32/36.61 43 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(A,sk_c8) != B | inverse(sk_c8) != sk_c7. [factor(38,d,g),merge(f),merge(g)].
% 36.32/36.61 44 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 36.32/36.61 46 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 36.32/36.61 47 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c2) = identity. [para(6(a,1),2(a,1,1))].
% 36.32/36.61 50 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 36.32/36.61 54 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(10(b,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 55 inverse(sk_c1) = sk_c8 | multiply(sk_c5,multiply(sk_c8,A)) = multiply(sk_c6,A). [para(11(b,1),33(a,1,1)),flip(b)].
% 36.32/36.61 56 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(11(b,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 57 inverse(sk_c8) = sk_c7 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(12(a,1),33(a,1,1)),flip(b)].
% 36.32/36.61 58 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c8). [para(12(a,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 64 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c8,sk_c3)) = multiply(A,sk_c7). [para(15(a,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 70 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c2,sk_c8)) = multiply(A,sk_c3). [para(18(a,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 73 inverse(sk_c5) = sk_c8 | multiply(sk_c2,multiply(sk_c8,A)) = multiply(sk_c3,A). [para(20(a,1),33(a,1,1)),flip(b)].
% 36.32/36.61 78 inverse(sk_c2) = sk_c8 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(22(b,1),33(a,2,2)),rewrite([33(8)])].
% 36.32/36.61 92 multiply(sk_c8,sk_c3) = sk_c7 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(29(b,1),33(a,2,2)),rewrite([33(9)])].
% 36.32/36.61 96 multiply(sk_c8,sk_c6) = sk_c7 | multiply(A,multiply(sk_c2,sk_c8)) = multiply(A,sk_c3). [para(31(a,1),33(a,2,2)),rewrite([33(9)])].
% 36.32/36.61 123 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,multiply(B,sk_c8)) != sk_c7 | inverse(B) != sk_c8 | inverse(sk_c8) != sk_c7. [resolve(41,d,1,a(flip)),rewrite([1(12)])].
% 36.32/36.61 125 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B | inverse(identity) != sk_c8 | inverse(sk_c8) != sk_c7. [para(1(a,1),41(d,1))].
% 36.32/36.61 183 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),50(a,1,2))].
% 36.32/36.61 186 inverse(sk_c8) = sk_c7 | multiply(sk_c8,multiply(sk_c2,A)) = A. [para(6(a,1),50(a,1,1))].
% 36.32/36.61 189 inverse(sk_c1) = sk_c8 | multiply(inverse(sk_c4),sk_c8) = sk_c7. [para(9(b,1),50(a,1,2))].
% 36.32/36.61 195 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c3. [para(15(a,1),50(a,1,2))].
% 36.32/36.61 197 inverse(sk_c5) = sk_c8 | multiply(inverse(sk_c8),sk_c7) = sk_c3. [para(17(a,1),50(a,1,2))].
% 36.32/36.61 201 inverse(sk_c2) = sk_c8 | multiply(inverse(sk_c4),sk_c8) = sk_c7. [para(21(b,1),50(a,1,2))].
% 36.32/36.61 214 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),identity) = sk_c1. [para(44(b,1),50(a,1,2))].
% 36.32/36.61 215 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(50(a,1),50(a,1,2))].
% 36.32/36.61 216 multiply(A,identity) = A. [back_rewrite(183),rewrite([215(4)])].
% 36.32/36.61 217 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c1. [back_rewrite(214),rewrite([216(8)])].
% 36.32/36.61 221 inverse(identity) = identity. [para(216(a,1),2(a,1))].
% 36.32/36.61 225 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B | identity != sk_c8 | inverse(sk_c8) != sk_c7. [back_rewrite(125),rewrite([221(15)])].
% 36.32/36.61 257 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c5. [para(46(b,1),50(a,1,2)),rewrite([216(8)])].
% 36.32/36.61 261 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c2. [para(47(b,1),50(a,1,2)),rewrite([216(8)])].
% 36.32/36.61 285 inverse(sk_c8) = sk_c7 | multiply(sk_c2,sk_c8) = identity. [para(261(b,1),2(a,1,1))].
% 36.32/36.61 322 inverse(sk_c1) != sk_c8 | multiply(sk_c8,multiply(A,sk_c8)) != sk_c7 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | inverse(sk_c4) = sk_c8. [resolve(123,b,13,a)].
% 36.32/36.61 332 inverse(sk_c1) != sk_c8 | multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7 | inverse(sk_c8) != sk_c7 | inverse(sk_c4) = sk_c8. [factor(322,a,c)].
% 36.32/36.61 381 multiply(A,inverse(A)) = identity. [para(215(a,1),2(a,1))].
% 36.32/36.61 391 multiply(A,multiply(inverse(A),B)) = B. [para(215(a,1),50(a,1))].
% 36.32/36.61 392 inverse(inverse(A)) = A. [para(215(a,1),216(a,1)),rewrite([216(2)]),flip(a)].
% 36.32/36.61 448 inverse(sk_c8) = sk_c5 | inverse(sk_c8) = sk_c1. [para(257(a,1),392(a,1,1))].
% 36.32/36.61 452 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(5(b,1),381(a,1,2))].
% 36.32/36.61 454 inverse(sk_c2) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(8(b,1),381(a,1,2))].
% 36.32/36.61 455 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(381(a,1),33(a,1)),flip(a)].
% 36.32/36.61 468 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [resolve(391,a,225,c),flip(c)].
% 36.32/36.61 469 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(A,sk_c8) | inverse(sk_c8) != sk_c7. [resolve(391,a,43,c),flip(c)].
% 36.32/36.61 486 multiply(inverse(sk_c8),sk_c7) != sk_c8 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [factor(468,b,c),rewrite([392(3)]),xx(a)].
% 36.32/36.61 525 inverse(sk_c8) = sk_c1 | multiply(sk_c5,sk_c7) != sk_c8 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [para(448(a,1),486(a,1,1))].
% 36.32/36.61 691 inverse(sk_c1) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != multiply(sk_c1,sk_c8) | inverse(sk_c8) != sk_c7 | inverse(sk_c5) = sk_c8. [resolve(469,b,14,a)].
% 36.32/36.61 732 inverse(sk_c1) = sk_c8 | multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7). [para(10(b,1),55(b,1,2)),flip(c),merge(b)].
% 36.32/36.61 917 inverse(sk_c8) = sk_c7 | multiply(sk_c8,inverse(sk_c7)) = sk_c1. [para(381(a,1),57(b,1,2)),rewrite([216(7)]),flip(b)].
% 36.32/36.61 1213 inverse(sk_c1) = sk_c8 | identity = sk_c6. [para(452(b,1),11(b,1)),merge(b)].
% 36.32/36.61 1216 inverse(sk_c1) = sk_c8 | multiply(A,sk_c6) = A. [para(452(b,1),56(b,1,2)),rewrite([216(10)]),flip(c),merge(b)].
% 36.32/36.61 1219 identity = sk_c6 | inverse(sk_c8) = sk_c1. [para(1213(a,1),392(a,1,1))].
% 36.32/36.61 1351 inverse(sk_c2) = sk_c8 | identity = sk_c6. [para(454(b,1),23(b,1)),merge(b)].
% 36.32/36.61 1355 identity = sk_c6 | inverse(sk_c8) = sk_c2. [para(1351(a,1),392(a,1,1))].
% 36.32/36.61 3101 inverse(sk_c1) = sk_c8 | inverse(sk_c6) = identity. [para(1216(b,1),2(a,1))].
% 36.32/36.61 3179 inverse(sk_c1) = sk_c8 | multiply(sk_c6,A) = A. [para(3101(b,1),50(a,1,1)),rewrite([1(8)])].
% 36.32/36.61 3451 inverse(sk_c8) = sk_c7 | multiply(A,sk_c3) = A. [para(285(b,1),70(b,1,2)),rewrite([216(10)]),flip(c),merge(b)].
% 36.32/36.61 3997 inverse(sk_c1) = sk_c8 | multiply(inverse(sk_c6),A) = A. [para(3179(b,1),50(a,1,2))].
% 36.32/36.61 4153 inverse(sk_c8) = sk_c7 | inverse(sk_c3) = identity. [para(3451(b,1),2(a,1))].
% 36.32/36.61 4342 inverse(sk_c8) = sk_c7 | multiply(sk_c3,A) = A. [para(4153(b,1),50(a,1,1)),rewrite([1(8)])].
% 36.32/36.61 4474 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c3),A) = A. [para(4342(b,1),50(a,1,2))].
% 36.32/36.61 4482 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c7. [para(4(b,1),189(b,1,1)),merge(b)].
% 36.32/36.61 4550 inverse(sk_c1) = sk_c8 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(4482(b,1),50(a,1,2))].
% 36.32/36.61 4697 inverse(sk_c8) = sk_c7 | multiply(sk_c1,sk_c7) = sk_c3. [para(217(b,1),195(b,1,1)),merge(b)].
% 36.32/36.61 4798 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c1),sk_c3) = sk_c7. [para(4697(b,1),50(a,1,2))].
% 36.32/36.61 5587 inverse(sk_c2) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c7. [para(7(b,1),201(b,1,1)),merge(b)].
% 36.32/36.61 5647 inverse(sk_c2) = sk_c8 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(5587(b,1),50(a,1,2))].
% 36.32/36.61 6109 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(455(a,1),50(a,1,2)),rewrite([216(3)]),flip(a)].
% 36.32/36.61 6144 inverse(sk_c5) = sk_c8 | multiply(sk_c3,inverse(multiply(sk_c2,sk_c8))) = identity. [para(455(a,1),73(b,1)),flip(b)].
% 36.32/36.61 6203 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c7,inverse(sk_c8)) = inverse(sk_c4). [para(24(b,1),6109(a,1,2,1))].
% 36.32/36.61 6215 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(B) != sk_c7 | inverse(multiply(B,sk_c8)) != multiply(C,sk_c8) | inverse(C) != sk_c8 | inverse(sk_c8) != sk_c7. [para(6109(a,1),41(c,1)),flip(d)].
% 36.32/36.61 6217 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(6109(a,1),50(a,1,2)),flip(a)].
% 36.32/36.61 6266 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(B,sk_c8) | inverse(B) != sk_c8. [factor(6215,c,f),rewrite([6217(15)])].
% 36.32/36.61 6286 inverse(sk_c5) = sk_c8 | multiply(sk_c3,multiply(inverse(sk_c8),inverse(sk_c2))) = identity. [back_rewrite(6144),rewrite([6217(9)])].
% 36.32/36.61 7972 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c8,multiply(sk_c5,sk_c8)) = sk_c7. [para(28(b,1),92(b,2)),merge(b)].
% 36.32/36.61 8641 multiply(sk_c8,sk_c6) = sk_c7 | multiply(inverse(sk_c8),multiply(inverse(sk_c2),sk_c3)) = identity. [para(96(b,1),2(a,1)),rewrite([6217(9),33(12)])].
% 36.32/36.61 9461 inverse(sk_c1) = sk_c8 | inverse(sk_c6) = sk_c6. [para(3997(b,1),1216(b,1)),flip(c),merge(b)].
% 36.32/36.61 9464 inverse(sk_c1) = sk_c8 | multiply(sk_c6,sk_c6) = identity. [para(9461(b,1),2(a,1,1))].
% 36.32/36.61 9638 inverse(sk_c1) = sk_c8 | sk_c6 = sk_c8. [para(4550(b,1),54(b,2)),rewrite([50(14)]),merge(b)].
% 36.32/36.61 9642 sk_c6 = sk_c8 | inverse(sk_c8) = sk_c1. [para(9638(a,1),392(a,1,1))].
% 36.32/36.61 9948 inverse(sk_c8) = sk_c7 | inverse(sk_c1) = sk_c7. [para(4798(b,1),3451(b,1)),flip(c),merge(b)].
% 36.32/36.61 9951 inverse(sk_c8) = sk_c7 | inverse(sk_c7) = sk_c1. [para(9948(b,1),392(a,1,1))].
% 36.32/36.61 9952 inverse(sk_c8) = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(9948(b,1),381(a,1,2))].
% 36.32/36.61 9955 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c1) = sk_c1. [para(9951(b,1),917(b,1,2)),merge(b)].
% 36.32/36.61 9967 inverse(sk_c8) = sk_c7 | identity = sk_c8. [para(9952(b,1),12(a,1)),merge(c)].
% 36.32/36.61 9969 inverse(sk_c8) = sk_c7 | multiply(A,sk_c8) = A. [para(9952(b,1),58(b,1,2)),rewrite([216(10)]),flip(c),merge(b)].
% 36.32/36.61 9983 identity = sk_c8 | identity = sk_c6 | sk_c1 = sk_c7. [para(9967(a,1),1219(b,1)),flip(c)].
% 36.32/36.61 10056 inverse(sk_c8) = sk_c7 | identity = sk_c1. [para(9955(b,1),44(b,1)),flip(c),merge(b)].
% 36.32/36.61 10089 identity = sk_c1 | sk_c6 = sk_c8 | sk_c1 = sk_c7. [para(10056(a,1),9642(b,1)),flip(c)].
% 36.32/36.61 10144 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = identity. [para(9969(b,1),2(a,1))].
% 36.32/36.61 10164 inverse(sk_c8) = sk_c7 | inverse(sk_c3) = sk_c8. [para(9969(b,1),4474(b,1)),merge(b)].
% 36.32/36.61 10230 inverse(sk_c8) = sk_c7 | multiply(sk_c8,A) = A. [para(10144(b,1),50(a,1,1)),rewrite([1(8)])].
% 36.32/36.61 10241 multiply(inverse(A),inverse(B)) != sk_c8 | multiply(B,multiply(A,sk_c7)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(C,sk_c8) | inverse(C) != sk_c8. [para(33(a,1),6266(b,1)),rewrite([6217(2)])].
% 36.32/36.61 10276 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c3) = identity. [para(10164(b,1),2(a,1,1))].
% 36.32/36.61 10917 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),A) = A. [para(10230(b,1),50(a,1,2))].
% 36.32/36.61 10963 inverse(sk_c8) = sk_c7 | identity = sk_c7. [para(10276(b,1),15(a,1)),merge(c)].
% 36.32/36.61 10966 inverse(sk_c8) = sk_c7 | multiply(A,sk_c7) = A. [para(10276(b,1),64(b,1,2)),rewrite([216(10)]),flip(c),merge(b)].
% 36.32/36.61 10990 identity = sk_c7 | sk_c6 = sk_c8 | sk_c1 = sk_c7. [para(10963(a,1),9642(b,1)),flip(c)].
% 36.32/36.61 11430 sk_c6 = sk_c8 | sk_c1 = sk_c7. [para(10990(a,1),10089(a,1)),flip(c),merge(c),merge(d),merge(e)].
% 36.32/36.61 11460 sk_c1 = sk_c7 | identity = sk_c8. [para(11430(a,1),9983(b,2)),merge(c),merge(d)].
% 36.32/36.61 12362 inverse(sk_c8) = sk_c7 | multiply(sk_c2,A) = A. [para(186(b,1),10230(b,1)),flip(c),merge(b)].
% 36.32/36.61 12700 inverse(sk_c8) = sk_c7 | sk_c2 = sk_c7. [para(12362(b,1),10966(b,1)),flip(c),merge(b)].
% 36.32/36.61 12705 sk_c2 = sk_c7 | multiply(sk_c8,sk_c7) = identity. [para(12700(a,1),381(a,1,2))].
% 36.32/36.61 12711 sk_c2 = sk_c7 | identity = sk_c6. [para(12700(a,1),1355(b,1)),flip(c),merge(c)].
% 36.32/36.61 12729 sk_c2 = sk_c7 | inverse(sk_c6) = identity. [para(12711(b,1),221(a,1,1))].
% 36.32/36.61 12800 sk_c2 = sk_c7 | multiply(sk_c8,sk_c7) = sk_c6. [para(12711(b,1),12705(b,2)),merge(b)].
% 36.32/36.61 12862 sk_c2 = sk_c7 | multiply(inverse(sk_c8),sk_c6) = sk_c7. [para(12800(b,1),50(a,1,2))].
% 36.32/36.61 13392 inverse(sk_c2) = sk_c8 | sk_c6 = sk_c8. [para(5647(b,1),78(b,2)),rewrite([50(14)]),merge(b)].
% 36.32/36.61 13419 sk_c6 = sk_c8 | inverse(sk_c8) = sk_c2. [para(13392(a,1),392(a,1,1))].
% 36.32/36.61 13449 sk_c6 = sk_c8 | sk_c2 = sk_c7. [para(13419(b,1),12700(a,1)),merge(c)].
% 36.32/36.61 13529 sk_c2 = sk_c7 | identity = sk_c8. [para(13449(a,1),12711(b,2)),merge(b)].
% 36.32/36.61 13530 sk_c2 = sk_c7 | inverse(sk_c8) = identity. [para(13449(a,1),12729(b,1,1)),merge(b)].
% 36.32/36.61 13543 sk_c2 = sk_c7 | identity = sk_c7. [para(13449(a,1),12862(b,1,2)),rewrite([2(10)]),merge(b)].
% 36.32/36.61 13765 sk_c2 = sk_c7 | inverse(sk_c8) = sk_c8. [para(13529(b,1),13530(b,2)),merge(b)].
% 36.32/36.61 13840 sk_c2 = sk_c7 | multiply(sk_c8,sk_c8) = identity. [para(13765(b,1),2(a,1,1))].
% 36.32/36.61 13961 multiply(sk_c7,inverse(A)) != sk_c8 | sk_c8 != A | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(B,sk_c8) | inverse(B) != sk_c8. [para(2(a,1),10241(b,1,2)),rewrite([392(3),216(7)]),flip(b)].
% 36.32/36.61 13965 multiply(sk_c7,A) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(B,sk_c8) | inverse(B) != sk_c8. [para(392(a,1),13961(a,1,2)),flip(b)].
% 36.32/36.61 13996 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(A,sk_c8) | inverse(A) != sk_c8. [resolve(13965,a,391,a),rewrite([6217(5),392(5)])].
% 36.32/36.61 14019 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(A,multiply(B,sk_c8)) != multiply(inverse(sk_c8),inverse(sk_c8)) | multiply(inverse(B),inverse(A)) != sk_c8. [para(33(a,1),13996(c,2)),rewrite([6217(21)]),flip(c)].
% 36.32/36.61 14021 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != A | multiply(sk_c8,inverse(A)) != sk_c8. [para(2(a,1),14019(c,1,2)),rewrite([216(12),392(19)]),flip(c)].
% 36.32/36.61 14023 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | inverse(A) != multiply(inverse(sk_c8),inverse(sk_c8)) | multiply(sk_c8,A) != sk_c8. [para(392(a,1),14021(d,1,2)),flip(c)].
% 36.32/36.61 14040 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),inverse(sk_c8)) != multiply(inverse(A),sk_c8) | sk_c8 != A. [para(391(a,1),14023(d,1)),rewrite([6217(14),392(14)]),flip(c),flip(d)].
% 36.32/36.61 14093 sk_c2 = sk_c7 | multiply(sk_c8,sk_c8) = sk_c7. [para(13543(b,1),13840(b,2)),merge(b)].
% 36.32/36.61 14168 sk_c2 = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(14093(b,1),50(a,1,2))].
% 36.32/36.61 14486 sk_c2 = sk_c7 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [resolve(14168,b,486,a)].
% 36.32/36.61 15741 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(A),multiply(inverse(B),sk_c8)) != multiply(inverse(sk_c8),inverse(sk_c8)) | multiply(B,A) != sk_c8. [para(6217(a,1),14040(c,2,1)),rewrite([33(20)]),flip(c),flip(d)].
% 36.32/36.61 20764 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c7) = identity. [para(732(b,1),9464(b,1)),merge(b)].
% 36.32/36.61 21050 inverse(sk_c1) = sk_c8 | inverse(sk_c5) = sk_c7. [para(20764(b,1),50(a,1,2)),rewrite([216(8)])].
% 36.32/36.61 21053 inverse(sk_c1) = sk_c8 | inverse(sk_c7) = sk_c5. [para(21050(b,1),392(a,1,1))].
% 36.32/36.61 21056 inverse(sk_c7) = sk_c5 | inverse(sk_c8) = sk_c1. [para(21053(a,1),392(a,1,1))].
% 36.32/36.61 21067 inverse(sk_c8) = sk_c1 | multiply(sk_c5,sk_c7) = identity. [para(21056(a,1),2(a,1,1))].
% 36.32/36.61 21241 inverse(sk_c8) = sk_c1 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [para(21067(b,1),525(b,1)),merge(b),merge(d)].
% 36.32/36.61 22237 inverse(sk_c8) = sk_c7. [para(10917(b,1),10966(b,1)),flip(c),merge(b),merge(c)].
% 36.32/36.61 22676 sk_c1 = sk_c7 | identity != sk_c8. [back_rewrite(21241),rewrite([22237(2),22237(8)]),flip(a),xx(c)].
% 36.32/36.61 24816 multiply(sk_c7,sk_c7) != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c8)) != multiply(sk_c7,sk_c7) | multiply(B,A) != sk_c8. [back_rewrite(15741),rewrite([22237(2),22237(7),22237(15),22237(16)]),xx(b)].
% 36.32/36.61 25095 sk_c2 = sk_c7 | identity != sk_c8. [back_rewrite(14486),rewrite([22237(8)]),xx(c)].
% 36.32/36.61 25198 multiply(sk_c7,sk_c7) != sk_c8 | inverse(A) != multiply(sk_c7,sk_c7) | multiply(sk_c8,A) != sk_c8. [back_rewrite(14023),rewrite([22237(2),22237(7),22237(11),22237(12)]),xx(b)].
% 36.32/36.61 25663 multiply(sk_c8,sk_c6) = sk_c7 | multiply(sk_c7,multiply(inverse(sk_c2),sk_c3)) = identity. [back_rewrite(8641),rewrite([22237(7)])].
% 36.32/36.61 25905 inverse(sk_c5) = sk_c8 | multiply(sk_c3,multiply(sk_c7,inverse(sk_c2))) = identity. [back_rewrite(6286),rewrite([22237(7)])].
% 36.32/36.61 25948 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c7,sk_c7) = inverse(sk_c4). [back_rewrite(6203),rewrite([22237(8)])].
% 36.32/36.61 26728 inverse(sk_c1) != sk_c8 | multiply(sk_c1,sk_c8) != multiply(sk_c7,sk_c7) | inverse(sk_c5) = sk_c8. [back_rewrite(691),rewrite([22237(6),22237(13)]),flip(b),xx(c)].
% 36.32/36.61 26839 inverse(sk_c1) != sk_c8 | multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7 | inverse(sk_c4) = sk_c8. [back_rewrite(332),rewrite([22237(13)]),xx(c)].
% 36.32/36.61 26862 inverse(sk_c5) = sk_c8 | multiply(sk_c7,sk_c7) = sk_c3. [back_rewrite(197),rewrite([22237(6)])].
% 36.32/36.61 27035 multiply(sk_c7,sk_c7) != sk_c8 | multiply(inverse(sk_c7),multiply(inverse(sk_c7),sk_c8)) != multiply(sk_c7,sk_c7). [factor(24816,a,c)].
% 36.32/36.61 27053 multiply(sk_c7,sk_c8) = identity. [para(22237(a,1),2(a,1,1))].
% 36.32/36.61 27054 multiply(sk_c7,multiply(sk_c8,A)) = A. [para(22237(a,1),50(a,1,1))].
% 36.32/36.61 27055 inverse(sk_c7) = sk_c8. [para(22237(a,1),392(a,1,1))].
% 36.32/36.61 27121 multiply(sk_c7,sk_c7) != sk_c8 | multiply(sk_c8,multiply(sk_c8,sk_c8)) != multiply(sk_c7,sk_c7). [back_rewrite(27035),rewrite([27055(7),27055(8)])].
% 36.32/36.61 27549 sk_c1 = sk_c7. [resolve(22676,b,11460,b),merge(b)].
% 36.32/36.61 27600 sk_c7 != sk_c8 | inverse(sk_c4) = sk_c8. [back_rewrite(26839),rewrite([27549(1),27055(2),27549(5),27053(7),216(6)]),flip(b),xx(a)].
% 36.32/36.61 27613 multiply(sk_c7,sk_c7) != identity | inverse(sk_c5) = sk_c8. [back_rewrite(26728),rewrite([27549(1),27055(2),27549(4),27053(6)]),flip(b),xx(a)].
% 36.32/36.61 27672 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c7,sk_c7) = inverse(sk_c4). [back_rewrite(25948),rewrite([27549(1)])].
% 36.32/36.61 28184 sk_c2 = sk_c7. [resolve(25095,b,13529,b),merge(b)].
% 36.32/36.61 28271 inverse(sk_c5) = sk_c8 | identity = sk_c3. [back_rewrite(25905),rewrite([28184(7),27055(8),27053(8),216(7)]),flip(b)].
% 36.32/36.61 28275 multiply(sk_c8,sk_c6) = sk_c7 | identity = sk_c3. [back_rewrite(25663),rewrite([28184(7),27055(8),27054(10)]),flip(b)].
% 36.32/36.61 28359 identity = sk_c3 | multiply(sk_c5,sk_c8) = sk_c6. [back_rewrite(32),rewrite([28184(1),27053(3)])].
% 36.32/36.61 28478 identity = sk_c3 | sk_c5 = sk_c7. [para(28271(a,1),392(a,1,1)),rewrite([22237(5)]),flip(b)].
% 36.32/36.61 28479 identity = sk_c3 | multiply(sk_c5,sk_c8) = identity. [para(28271(a,1),381(a,1,2))].
% 36.32/36.61 28612 multiply(sk_c7,sk_c7) != sk_c8 | multiply(sk_c7,sk_c7) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c8. [para(22237(a,1),25198(b,1)),flip(b)].
% 36.32/36.61 28922 identity = sk_c3 | identity = sk_c6. [para(28479(b,1),28359(b,1)),merge(b)].
% 36.32/36.61 28984 identity = sk_c3 | multiply(A,sk_c6) = A. [para(28922(b,1),216(a,1,2))].
% 36.32/36.61 29570 identity = sk_c3 | sk_c7 = sk_c8. [para(28984(b,1),28275(a,1)),flip(b),merge(c)].
% 36.32/36.61 29579 sk_c7 = sk_c8 | multiply(A,sk_c3) = A. [para(29570(a,1),216(a,1,2))].
% 36.32/36.61 30813 inverse(sk_c5) = sk_c8 | identity != sk_c3. [para(26862(b,1),27613(a,1)),flip(b),merge(c)].
% 36.32/36.61 30815 inverse(sk_c5) = sk_c8 | sk_c5 = sk_c7. [resolve(30813,b,28478,a)].
% 36.32/36.61 31024 sk_c5 = sk_c7. [para(30815(a,1),392(a,1,1)),rewrite([22237(5)]),flip(b),merge(b)].
% 36.32/36.61 31192 multiply(sk_c8,sk_c3) = sk_c7 | sk_c7 = sk_c8. [back_rewrite(7972),rewrite([31024(7),27053(9),216(8)]),flip(b)].
% 36.32/36.61 31581 sk_c7 = sk_c8. [para(31192(a,1),29579(b,1)),merge(b),merge(c)].
% 36.32/36.61 32566 multiply(sk_c8,sk_c8) != sk_c8. [back_rewrite(28612),rewrite([31581(1),31581(2),31581(6),31581(7),31581(9)]),merge(b),merge(c)].
% 36.32/36.61 32677 multiply(sk_c8,sk_c8) = inverse(sk_c4). [back_rewrite(27672),rewrite([31581(1),31581(2),31581(6),31581(7)]),unit_del(a,32566)].
% 36.32/36.61 32696 inverse(sk_c4) = sk_c8. [back_rewrite(27600),rewrite([31581(1)]),xx(a)].
% 36.32/36.61 32805 $F. [back_rewrite(27121),rewrite([31581(1),31581(2),32677(3),32696(2),32677(7),32696(6),32677(6),32696(5),31581(5),31581(6),32677(7),32696(6)]),xx(a),xx(b)].
% 36.32/36.61
% 36.32/36.61 % SZS output end Refutation
% 36.32/36.61 ============================== end of proof ==========================
% 36.32/36.61
% 36.32/36.61 ============================== STATISTICS ============================
% 36.32/36.61
% 36.32/36.61 Given=4445. Generated=2353386. Kept=32804. proofs=1.
% 36.32/36.61 Usable=148. Sos=2464. Demods=29. Limbo=1224, Disabled=29002. Hints=0.
% 36.32/36.61 Megabytes=23.85.
% 36.32/36.61 User_CPU=34.35, System_CPU=1.25, Wall_clock=36.
% 36.32/36.61
% 36.32/36.61 ============================== end of statistics =====================
% 36.32/36.61
% 36.32/36.61 ============================== end of search =========================
% 36.32/36.61
% 36.32/36.61 THEOREM PROVED
% 36.32/36.61 % SZS status Unsatisfiable
% 36.32/36.61
% 36.32/36.61 Exiting with 1 proof.
% 36.32/36.61
% 36.32/36.61 Process 3894 exit (max_proofs) Tue Jun 14 07:25:30 2022
% 36.32/36.61 Prover9 interrupted
%------------------------------------------------------------------------------