TSTP Solution File: GRP227-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP227-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 48.14s 48.42s
% Output : Refutation 48.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP227-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n017.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 : Tue Jun 14 06:14:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 3.76/4.04 ============================== Prover9 ===============================
% 3.76/4.04 Prover9 (32) version 2009-11A, November 2009.
% 3.76/4.04 Process 5914 was started by sandbox on n017.cluster.edu,
% 3.76/4.04 Tue Jun 14 06:14:39 2022
% 3.76/4.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5754_n017.cluster.edu".
% 3.76/4.04 ============================== end of head ===========================
% 3.76/4.04
% 3.76/4.04 ============================== INPUT =================================
% 3.76/4.04
% 3.76/4.04 % Reading from file /tmp/Prover9_5754_n017.cluster.edu
% 3.76/4.04
% 3.76/4.04 set(prolog_style_variables).
% 3.76/4.04 set(auto2).
% 3.76/4.04 % set(auto2) -> set(auto).
% 3.76/4.04 % set(auto) -> set(auto_inference).
% 3.76/4.04 % set(auto) -> set(auto_setup).
% 3.76/4.04 % set(auto_setup) -> set(predicate_elim).
% 3.76/4.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.76/4.04 % set(auto) -> set(auto_limits).
% 3.76/4.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.76/4.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.76/4.04 % set(auto) -> set(auto_denials).
% 3.76/4.04 % set(auto) -> set(auto_process).
% 3.76/4.04 % set(auto2) -> assign(new_constants, 1).
% 3.76/4.04 % set(auto2) -> assign(fold_denial_max, 3).
% 3.76/4.04 % set(auto2) -> assign(max_weight, "200.000").
% 3.76/4.04 % set(auto2) -> assign(max_hours, 1).
% 3.76/4.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.76/4.04 % set(auto2) -> assign(max_seconds, 0).
% 3.76/4.04 % set(auto2) -> assign(max_minutes, 5).
% 3.76/4.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.76/4.04 % set(auto2) -> set(sort_initial_sos).
% 3.76/4.04 % set(auto2) -> assign(sos_limit, -1).
% 3.76/4.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.76/4.04 % set(auto2) -> assign(max_megs, 400).
% 3.76/4.04 % set(auto2) -> assign(stats, some).
% 3.76/4.04 % set(auto2) -> clear(echo_input).
% 3.76/4.04 % set(auto2) -> set(quiet).
% 3.76/4.04 % set(auto2) -> clear(print_initial_clauses).
% 3.76/4.04 % set(auto2) -> clear(print_given).
% 3.76/4.04 assign(lrs_ticks,-1).
% 3.76/4.04 assign(sos_limit,10000).
% 3.76/4.04 assign(order,kbo).
% 3.76/4.04 set(lex_order_vars).
% 3.76/4.04 clear(print_given).
% 3.76/4.04
% 3.76/4.04 % formulas(sos). % not echoed (34 formulas)
% 3.76/4.04
% 3.76/4.04 ============================== end of input ==========================
% 3.76/4.04
% 3.76/4.04 % From the command line: assign(max_seconds, 300).
% 3.76/4.04
% 3.76/4.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.76/4.04
% 3.76/4.04 % Formulas that are not ordinary clauses:
% 3.76/4.04
% 3.76/4.04 ============================== end of process non-clausal formulas ===
% 3.76/4.04
% 3.76/4.04 ============================== PROCESS INITIAL CLAUSES ===============
% 3.76/4.04
% 3.76/4.04 ============================== PREDICATE ELIMINATION =================
% 3.76/4.04
% 3.76/4.04 ============================== end predicate elimination =============
% 3.76/4.04
% 3.76/4.04 Auto_denials: (non-Horn, no changes).
% 3.76/4.04
% 3.76/4.04 Term ordering decisions:
% 3.76/4.04
% 3.76/4.04 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 3.76/4.04 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c6=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. sk_c5=1. identity=1. multiply=1. inverse=0.
% 3.76/4.04
% 3.76/4.04 ============================== end of process initial clauses ========
% 3.76/4.04
% 3.76/4.04 ============================== CLAUSES FOR SEARCH ====================
% 3.76/4.04
% 3.76/4.04 ============================== end of clauses for search =============
% 3.76/4.04
% 3.76/4.04 ============================== SEARCH ================================
% 3.76/4.04
% 3.76/4.04 % Starting search at 0.04 seconds.
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=52.000, iters=3452
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=51.000, iters=3435
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=50.000, iters=3378
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=48.000, iters=3386
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=47.000, iters=3364
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=45.000, iters=3432
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=44.000, iters=3404
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=43.000, iters=3426
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=42.000, iters=3379
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=41.000, iters=3440
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=40.000, iters=3394
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=39.000, iters=3411
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=38.000, iters=3525
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=37.000, iters=3393
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=35.000, iters=3396
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=34.000, iters=3350
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=33.000, iters=3402
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=32.000, iters=3343
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=31.000, iters=3345
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=30.000, iters=3337
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=29.000, iters=3342
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=28.000, iters=3404
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=27.000, iters=3337
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=26.000, iters=3336
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=25.000, iters=3348
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=24.000, iters=3335
% 3.76/4.04
% 3.76/4.04 Low Water (keep): wt=23.000, iters=3361
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=22.000, iters=3366
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=21.000, iters=3346
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=20.000, iters=3361
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=19.000, iters=3349
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=17.000, iters=3415
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=16.000, iters=3361
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=15.000, iters=3379
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=14.000, iters=3372
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=13.000, iters=3334
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4871, wt=58.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4862, wt=56.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4756, wt=55.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4879, wt=54.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4920, wt=53.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4857, wt=52.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4769, wt=51.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=4883, wt=50.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=5446, wt=49.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=21492, wt=11.000
% 48.14/48.42
% 48.14/48.42 Low Water (displace): id=21494, wt=10.000
% 48.14/48.42
% 48.14/48.42 Low Water (keep): wt=12.000, iters=3334
% 48.14/48.42
% 48.14/48.42 ============================== PROOF =================================
% 48.14/48.42 % SZS status Unsatisfiable
% 48.14/48.42 % SZS output start Refutation
% 48.14/48.42
% 48.14/48.42 % Proof 1 at 46.13 (+ 1.28) seconds.
% 48.14/48.42 % Length of proof is 190.
% 48.14/48.42 % Level of proof is 33.
% 48.14/48.42 % Maximum clause weight is 50.000.
% 48.14/48.42 % Given clauses 4997.
% 48.14/48.42
% 48.14/48.42 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 48.14/48.42 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 48.14/48.42 3 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 48.14/48.42 4 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 48.14/48.42 6 inverse(sk_c2) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 48.14/48.42 7 inverse(sk_c2) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 48.14/48.42 9 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 48.14/48.42 12 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 48.14/48.42 13 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 48.14/48.42 15 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c8) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 48.14/48.42 16 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 48.14/48.42 18 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c8) = sk_c7 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 48.14/48.42 19 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c4) = sk_c8 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 48.14/48.42 20 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c5) = sk_c6 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 48.14/48.42 21 inverse(sk_c2) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c7 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 48.14/48.42 24 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 48.14/48.42 27 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c4,sk_c8) = sk_c7 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 48.14/48.42 30 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c4,sk_c8) = sk_c7 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 48.14/48.42 31 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c5,sk_c6) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 48.14/48.42 32 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c6,sk_c8) = sk_c7 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 48.14/48.42 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 48.14/48.42 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 | multiply(D,sk_c8) != sk_c7 | inverse(D) != sk_c8 | multiply(E,F) != sk_c7 | inverse(E) != F | multiply(F,sk_c8) != sk_c7 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 48.14/48.42 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 | multiply(C,sk_c8) != sk_c7 | inverse(C) != sk_c8 | multiply(D,E) != sk_c7 | inverse(D) != E | multiply(E,sk_c8) != sk_c7. [factor(34,a,e)].
% 48.14/48.42 44 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(A,sk_c8) != sk_c7 | multiply(C,D) != sk_c7 | inverse(C) != D | multiply(D,sk_c8) != sk_c7. [factor(35,a,g)].
% 48.14/48.42 69 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(A,sk_c8) != sk_c7 | multiply(C,A) != sk_c7 | inverse(C) != A. [factor(44,f,i)].
% 48.14/48.42 92 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 48.14/48.42 95 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c2) = identity. [para(6(a,1),2(a,1,1))].
% 48.14/48.42 98 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 48.14/48.42 100 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c4,sk_c8)) = multiply(A,sk_c7). [para(9(b,1),33(a,2,2)),rewrite([33(8)])].
% 48.14/48.42 106 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)])].
% 48.14/48.42 107 inverse(sk_c4) = sk_c8 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(13(a,1),33(a,1,1)),flip(b)].
% 48.14/48.42 112 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)])].
% 48.14/48.42 113 inverse(sk_c4) = sk_c8 | multiply(sk_c8,multiply(sk_c3,A)) = multiply(sk_c7,A). [para(16(a,1),33(a,1,1)),flip(b)].
% 48.14/48.42 118 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)])].
% 48.14/48.42 129 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,multiply(sk_c8,A)) = multiply(sk_c7,A). [para(24(b,1),33(a,1,1)),flip(b)].
% 48.14/48.42 136 multiply(sk_c8,sk_c3) = sk_c7 | multiply(A,multiply(sk_c4,sk_c8)) = multiply(A,sk_c7). [para(27(b,1),33(a,2,2)),rewrite([33(9)])].
% 48.14/48.42 143 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c5,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(31(b,1),33(a,1,1)),flip(b)].
% 48.14/48.42 156 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,identity) != sk_c7 | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(B,sk_c8) != sk_c7 | inverse(B) != sk_c8 | multiply(C,D) != sk_c7 | inverse(C) != D | multiply(D,sk_c8) != sk_c7. [resolve(34,d,2,a)].
% 48.14/48.42 189 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | identity != B | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(C,sk_c8) != sk_c7 | inverse(C) != sk_c8 | multiply(D,E) != sk_c7 | inverse(D) != E | multiply(E,sk_c8) != sk_c7. [para(2(a,1),34(d,1))].
% 48.14/48.42 279 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | multiply(sk_c8,identity) != sk_c7 | inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,C) != sk_c7 | inverse(B) != C | multiply(C,sk_c8) != sk_c7. [factor(156,a,d)].
% 48.14/48.42 448 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | identity != B | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(C,sk_c8) != sk_c7 | inverse(C) != sk_c8 | inverse(sk_c8) != B | multiply(B,sk_c8) != sk_c7. [factor(189,c,i)].
% 48.14/48.42 764 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | multiply(sk_c8,identity) != sk_c7 | inverse(sk_c8) != sk_c7 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(sk_c8,sk_c8) != sk_c7. [factor(279,e,g),merge(g)].
% 48.14/48.42 985 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,B) != sk_c7 | identity != B | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(B,sk_c8) != sk_c7 | inverse(B) != sk_c8 | inverse(sk_c8) != B. [factor(448,g,j)].
% 48.14/48.42 1406 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | multiply(sk_c8,identity) != sk_c7 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c7 | inverse(sk_c8) != sk_c8. [factor(764,e,g)].
% 48.14/48.42 1506 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != sk_c7 | inverse(sk_c8) != identity | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | identity != sk_c7. [factor(985,e,h),rewrite([2(30)]),flip(d),xx(h)].
% 48.14/48.42 2154 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),98(a,1,2))].
% 48.14/48.42 2166 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c3. [para(15(a,1),98(a,1,2))].
% 48.14/48.42 2199 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),identity) = sk_c1. [para(92(b,1),98(a,1,2))].
% 48.14/48.42 2200 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(98(a,1),98(a,1,2))].
% 48.14/48.42 2229 multiply(A,identity) = A. [back_rewrite(2154),rewrite([2200(4)])].
% 48.14/48.42 2230 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c1. [back_rewrite(2199),rewrite([2229(8)])].
% 48.14/48.42 2241 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | sk_c7 != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c7 | inverse(sk_c8) != sk_c8. [back_rewrite(1406),rewrite([2229(14)]),flip(c)].
% 48.14/48.42 2293 inverse(identity) = identity. [para(2229(a,1),2(a,1))].
% 48.14/48.42 2317 identity != sk_c8 | sk_c7 != sk_c8 | multiply(sk_c8,A) != sk_c7 | sk_c8 != A | inverse(sk_c8) != sk_c7 | sk_c7 != B | inverse(B) != identity. [para(2229(a,1),69(g,1)),rewrite([2293(2),1(6),1(13),1(19)]),flip(f),flip(g),merge(f)].
% 48.14/48.42 2441 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c2. [para(95(b,1),98(a,1,2)),rewrite([2229(8)])].
% 48.14/48.42 2498 inverse(sk_c8) = sk_c7 | multiply(sk_c2,sk_c8) = identity. [para(2441(b,1),2(a,1,1))].
% 48.14/48.42 2500 inverse(sk_c8) = sk_c7 | sk_c2 = sk_c1. [para(2441(b,1),2230(b,1)),merge(b)].
% 48.14/48.42 2501 sk_c2 = sk_c1 | multiply(sk_c7,sk_c8) = identity. [para(2500(a,1),2(a,1,1))].
% 48.14/48.42 2587 sk_c2 = sk_c1 | inverse(sk_c7) = sk_c8. [para(2501(b,1),98(a,1,2)),rewrite([2229(7)])].
% 48.14/48.42 2625 identity != sk_c8 | sk_c7 != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != A | inverse(A) != identity. [para(2229(a,1),2317(c,1)),flip(c),flip(d),merge(c),merge(d)].
% 48.14/48.42 2704 multiply(A,inverse(A)) = identity. [para(2200(a,1),2(a,1))].
% 48.14/48.42 2821 multiply(A,multiply(inverse(A),B)) = B. [para(2200(a,1),98(a,1))].
% 48.14/48.42 2822 inverse(inverse(A)) = A. [para(2200(a,1),2229(a,1)),rewrite([2229(2)]),flip(a)].
% 48.14/48.42 2835 inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [back_rewrite(1506),rewrite([2704(11),2822(17)]),xx(e),merge(f)].
% 48.14/48.42 2855 multiply(inverse(sk_c8),sk_c7) != sk_c8 | sk_c7 != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c7 | inverse(sk_c8) != sk_c8. [back_rewrite(2241),rewrite([2822(3)]),xx(a)].
% 48.14/48.42 3105 inverse(sk_c1) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7 | inverse(sk_c4) = sk_c8. [resolve(2835,b,13,a)].
% 48.14/48.42 3106 inverse(multiply(A,B)) != sk_c8 | multiply(A,multiply(B,sk_c7)) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [para(33(a,1),2835(b,1))].
% 48.14/48.42 3112 identity != sk_c8 | sk_c7 != sk_c8 | inverse(sk_c8) != sk_c7 | inverse(A) != sk_c7 | identity != A. [para(2822(a,1),2625(e,1)),flip(d),flip(e)].
% 48.14/48.42 3113 identity != sk_c8 | sk_c7 != sk_c8 | inverse(sk_c8) != sk_c7. [factor(3112,a,e),merge(d)].
% 48.14/48.42 3114 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c8) = identity. [para(4(b,1),2704(a,1,2))].
% 48.14/48.42 3116 inverse(sk_c2) = sk_c8 | multiply(sk_c4,sk_c8) = identity. [para(7(b,1),2704(a,1,2))].
% 48.14/48.42 3118 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(2704(a,1),33(a,1)),flip(a)].
% 48.14/48.42 3593 inverse(multiply(A,inverse(sk_c7))) != sk_c8 | sk_c8 != A | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [para(2(a,1),3106(b,1,2)),rewrite([2229(8)]),flip(b)].
% 48.14/48.42 3603 inverse(multiply(A,multiply(B,inverse(sk_c7)))) != sk_c8 | multiply(A,B) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [para(33(a,1),3593(a,1,1)),flip(b)].
% 48.14/48.42 3761 inverse(multiply(A,multiply(B,multiply(C,inverse(sk_c7))))) != sk_c8 | multiply(A,multiply(B,C)) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [para(33(a,1),3603(a,1,1,2))].
% 48.14/48.42 3816 inverse(sk_c1) = sk_c8 | identity = sk_c7. [para(3114(b,1),9(b,1)),merge(b)].
% 48.14/48.42 3818 inverse(sk_c1) = sk_c8 | multiply(A,sk_c7) = A. [para(3114(b,1),100(b,1,2)),rewrite([2229(10)]),flip(c),merge(b)].
% 48.14/48.42 3821 identity = sk_c7 | inverse(sk_c8) = sk_c1. [para(3816(a,1),2822(a,1,1))].
% 48.14/48.42 3930 inverse(sk_c2) = sk_c8 | identity = sk_c7. [para(3116(b,1),21(b,1)),merge(b)].
% 48.14/48.42 3934 identity = sk_c7 | inverse(sk_c8) = sk_c2. [para(3930(a,1),2822(a,1,1))].
% 48.14/48.42 3942 identity = sk_c7 | sk_c2 = sk_c1. [para(3934(b,1),3821(b,1)),merge(b)].
% 48.14/48.42 3946 sk_c2 = sk_c1 | inverse(sk_c7) = identity. [para(3942(a,1),2293(a,1,1))].
% 48.14/48.42 3990 inverse(sk_c4) = sk_c8 | multiply(sk_c8,inverse(sk_c7)) = sk_c1. [para(2704(a,1),107(b,1,2)),rewrite([2229(7)]),flip(b)].
% 48.14/48.42 4044 sk_c2 = sk_c1 | identity = sk_c8. [para(3946(b,1),2587(b,1)),merge(b)].
% 48.14/48.42 4051 sk_c2 = sk_c1 | inverse(sk_c8) = identity. [para(4044(b,1),2293(a,1,1))].
% 48.14/48.42 4196 sk_c2 = sk_c1 | inverse(sk_c8) = sk_c8. [para(4044(b,1),4051(b,2)),merge(b)].
% 48.14/48.42 4199 sk_c2 = sk_c1 | multiply(sk_c8,sk_c8) = identity. [para(4196(b,1),2(a,1,1))].
% 48.14/48.42 5028 sk_c2 = sk_c1 | multiply(sk_c8,sk_c8) = sk_c7. [para(3942(a,1),4199(b,2)),merge(b)].
% 48.14/48.42 5105 sk_c2 = sk_c1 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(5028(b,1),98(a,1,2))].
% 48.14/48.42 5470 inverse(sk_c4) = sk_c8 | multiply(sk_c7,inverse(sk_c3)) = sk_c8. [para(2704(a,1),113(b,1,2)),rewrite([2229(7)]),flip(b)].
% 48.14/48.42 6053 inverse(sk_c1) = sk_c8 | inverse(sk_c7) = identity. [para(3818(b,1),2(a,1))].
% 48.14/48.42 6137 inverse(sk_c7) = identity | inverse(sk_c8) = sk_c1. [para(6053(a,1),2822(a,1,1))].
% 48.14/48.42 6342 inverse(sk_c8) = sk_c7 | multiply(A,sk_c3) = A. [para(2498(b,1),118(b,1,2)),rewrite([2229(10)]),flip(c),merge(b)].
% 48.14/48.42 6414 sk_c2 = sk_c1 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [resolve(5105,b,2835,b),rewrite([2822(6)]),xx(b)].
% 48.14/48.42 6964 inverse(A) != sk_c8 | multiply(A,multiply(inverse(multiply(B,inverse(sk_c7))),B)) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [para(2(a,1),3761(a,1,1,2)),rewrite([2229(2)])].
% 48.14/48.42 6988 inverse(sk_c8) = sk_c7 | inverse(sk_c3) = identity. [para(6342(b,1),2(a,1))].
% 48.14/48.42 7054 inverse(sk_c8) = sk_c7 | multiply(sk_c3,A) = A. [para(6988(b,1),98(a,1,1)),rewrite([1(8)])].
% 48.14/48.42 7102 inverse(multiply(sk_c8,inverse(sk_c7))) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [resolve(6964,b,2821,a)].
% 48.14/48.42 7472 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c3),A) = A. [para(7054(b,1),98(a,1,2))].
% 48.14/48.42 8649 multiply(sk_c1,sk_c7) = sk_c8 | multiply(inverse(sk_c4),multiply(sk_c7,A)) = multiply(sk_c8,A). [para(129(b,1),98(a,1,2))].
% 48.14/48.42 9549 inverse(sk_c8) = sk_c7 | multiply(sk_c1,sk_c7) = sk_c3. [para(2230(b,1),2166(b,1,1)),merge(b)].
% 48.14/48.42 9554 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c1),sk_c3) = sk_c7. [para(9549(b,1),98(a,1,2))].
% 48.14/48.42 9762 multiply(sk_c8,sk_c3) = sk_c7 | multiply(A,multiply(B,multiply(sk_c4,sk_c8))) = multiply(A,multiply(B,sk_c7)). [para(136(b,1),33(a,1)),rewrite([33(8)]),flip(b)].
% 48.14/48.42 10631 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c7,inverse(sk_c6)) = sk_c5. [para(2704(a,1),143(b,1,2)),rewrite([2229(8)]),flip(b)].
% 48.14/48.42 12611 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(3118(a,1),98(a,1,2)),rewrite([2229(3)]),flip(a)].
% 48.14/48.42 12779 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c5). [para(31(b,1),12611(a,1,2,1))].
% 48.14/48.42 12828 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(12611(a,1),98(a,1,2)),flip(a)].
% 48.14/48.42 13471 multiply(sk_c7,inverse(sk_c8)) != sk_c8 | identity != sk_c7 | inverse(sk_c8) != identity | inverse(sk_c8) != sk_c7. [back_rewrite(7102),rewrite([12828(5),2822(3)])].
% 48.14/48.42 16028 inverse(sk_c4) = sk_c8 | multiply(A,multiply(sk_c7,inverse(sk_c3))) = multiply(A,sk_c8). [para(5470(b,1),33(a,2,2)),rewrite([33(9)])].
% 48.14/48.42 16478 inverse(sk_c8) = sk_c7 | inverse(sk_c1) = sk_c7. [para(9554(b,1),6342(b,1)),flip(c),merge(b)].
% 48.14/48.42 16482 inverse(sk_c8) = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(16478(b,1),2704(a,1,2))].
% 48.14/48.42 16492 inverse(sk_c8) = sk_c7 | identity = sk_c8. [para(16482(b,1),12(a,1)),merge(c)].
% 48.14/48.42 16494 inverse(sk_c8) = sk_c7 | multiply(A,sk_c8) = A. [para(16482(b,1),106(b,1,2)),rewrite([2229(10)]),flip(c),merge(b)].
% 48.14/48.42 16498 identity = sk_c8 | inverse(sk_c7) = sk_c8. [para(16492(a,1),2822(a,1,1))].
% 48.14/48.42 16519 identity = sk_c8 | inverse(sk_c8) = sk_c1. [para(16498(b,1),6137(a,1)),flip(b),merge(b)].
% 48.14/48.42 16547 identity = sk_c8 | sk_c1 = sk_c7. [para(16519(b,1),16492(a,1)),merge(c)].
% 48.14/48.42 17150 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = identity. [para(16494(b,1),2(a,1))].
% 48.14/48.42 17166 inverse(sk_c8) = sk_c7 | inverse(sk_c3) = sk_c8. [para(16494(b,1),7472(b,1)),merge(b)].
% 48.14/48.42 17240 inverse(sk_c8) = sk_c7 | multiply(sk_c8,A) = A. [para(17150(b,1),98(a,1,1)),rewrite([1(8)])].
% 48.14/48.42 17277 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c3) = identity. [para(17166(b,1),2(a,1,1))].
% 48.14/48.42 17635 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),A) = A. [para(17240(b,1),98(a,1,2))].
% 48.14/48.42 17667 inverse(sk_c8) = sk_c7 | identity = sk_c7. [para(17277(b,1),15(a,1)),merge(c)].
% 48.14/48.42 17670 inverse(sk_c8) = sk_c7 | multiply(A,sk_c7) = A. [para(17277(b,1),112(b,1,2)),rewrite([2229(10)]),flip(c),merge(b)].
% 48.14/48.42 17678 identity = sk_c7 | sk_c1 = sk_c7. [para(17667(a,1),3821(b,1)),flip(c),merge(b)].
% 48.14/48.42 17687 sk_c1 = sk_c7 | inverse(sk_c7) = identity. [para(17678(a,1),2293(a,1,1))].
% 48.14/48.42 17870 sk_c1 = sk_c7 | inverse(sk_c7) = sk_c7. [para(17678(a,1),17687(b,2)),merge(b)].
% 48.14/48.42 17914 sk_c1 = sk_c7 | multiply(sk_c7,sk_c7) = identity. [para(17870(b,1),2(a,1,1))].
% 48.14/48.42 18371 sk_c1 = sk_c7 | multiply(sk_c7,sk_c7) = sk_c8. [para(16547(a,1),17914(b,2)),merge(b)].
% 48.14/48.42 26615 inverse(sk_c8) = sk_c7. [para(17635(b,1),17670(b,1)),flip(c),merge(b),merge(c)].
% 48.14/48.42 29686 multiply(sk_c7,sk_c7) != sk_c8 | identity != sk_c7. [back_rewrite(13471),rewrite([26615(3),26615(10),26615(13)]),flip(c),xx(d),merge(c)].
% 48.14/48.42 30041 sk_c2 = sk_c1 | identity != sk_c7. [back_rewrite(6414),rewrite([26615(8),26615(11)]),flip(c),xx(d),merge(c)].
% 48.14/48.42 30089 identity != sk_c8 | sk_c7 != sk_c8. [back_rewrite(3113),rewrite([26615(8)]),xx(c)].
% 48.14/48.42 30091 inverse(sk_c1) != sk_c8 | identity != sk_c7 | inverse(sk_c4) = sk_c8. [back_rewrite(3105),rewrite([26615(9),26615(12)]),flip(c),xx(d),merge(c)].
% 48.14/48.42 30134 multiply(sk_c7,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(sk_c8,sk_c8) != sk_c7. [back_rewrite(2855),rewrite([26615(2),26615(10),26615(18)]),xx(c),merge(d)].
% 48.14/48.42 30914 multiply(sk_c7,sk_c8) = identity. [para(26615(a,1),2(a,1,1))].
% 48.14/48.42 30916 inverse(sk_c7) = sk_c8. [para(26615(a,1),2822(a,1,1))].
% 48.14/48.42 30917 multiply(sk_c8,sk_c7) = identity. [para(26615(a,1),2704(a,1,2))].
% 48.14/48.42 30918 multiply(sk_c8,multiply(sk_c7,A)) = A. [para(26615(a,1),2821(a,1,2,1))].
% 48.14/48.42 31129 multiply(sk_c2,sk_c8) = sk_c3 | multiply(sk_c6,sk_c8) = inverse(sk_c5). [back_rewrite(12779),rewrite([30916(8)])].
% 48.14/48.42 31196 inverse(sk_c4) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c1. [back_rewrite(3990),rewrite([30916(7)])].
% 48.14/48.42 31255 identity != sk_c7 | sk_c1 = sk_c7. [resolve(29686,a,18371,b)].
% 48.14/48.42 31370 sk_c2 = sk_c1. [resolve(30041,b,3942,a),merge(b)].
% 48.14/48.42 31389 multiply(sk_c1,sk_c8) = sk_c3 | multiply(sk_c6,sk_c8) = inverse(sk_c5). [back_rewrite(31129),rewrite([31370(1)])].
% 48.14/48.42 31645 multiply(sk_c1,sk_c8) = sk_c3 | multiply(sk_c7,inverse(sk_c6)) = sk_c5. [back_rewrite(10631),rewrite([31370(1)])].
% 48.14/48.42 31713 multiply(sk_c1,sk_c8) = sk_c3 | multiply(sk_c6,sk_c8) = sk_c7. [back_rewrite(32),rewrite([31370(1)])].
% 48.14/48.42 31715 multiply(sk_c1,sk_c8) = sk_c3 | multiply(sk_c4,sk_c8) = sk_c7. [back_rewrite(30),rewrite([31370(1)])].
% 48.14/48.42 31716 multiply(sk_c1,sk_c8) = sk_c3 | inverse(sk_c5) = sk_c6. [back_rewrite(20),rewrite([31370(1)])].
% 48.14/48.42 31717 multiply(sk_c1,sk_c8) = sk_c3 | inverse(sk_c4) = sk_c8. [back_rewrite(19),rewrite([31370(1)])].
% 48.14/48.42 31824 sk_c1 = sk_c7. [resolve(31255,a,17678,a),merge(b)].
% 48.14/48.42 31885 identity = sk_c3 | inverse(sk_c4) = sk_c8. [back_rewrite(31717),rewrite([31824(1),30914(3)])].
% 48.14/48.42 31886 identity = sk_c3 | inverse(sk_c5) = sk_c6. [back_rewrite(31716),rewrite([31824(1),30914(3)])].
% 48.14/48.42 31887 identity = sk_c3 | multiply(sk_c4,sk_c8) = sk_c7. [back_rewrite(31715),rewrite([31824(1),30914(3)])].
% 48.14/48.42 31889 identity = sk_c3 | multiply(sk_c6,sk_c8) = sk_c7. [back_rewrite(31713),rewrite([31824(1),30914(3)])].
% 48.14/48.42 31944 identity = sk_c3 | multiply(sk_c7,inverse(sk_c6)) = sk_c5. [back_rewrite(31645),rewrite([31824(1),30914(3)])].
% 48.14/48.42 32115 identity = sk_c3 | multiply(sk_c6,sk_c8) = inverse(sk_c5). [back_rewrite(31389),rewrite([31824(1),30914(3)])].
% 48.14/48.42 32136 inverse(sk_c4) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c7. [back_rewrite(31196),rewrite([31824(8)])].
% 48.14/48.42 32270 identity != sk_c7 | inverse(sk_c4) = sk_c8. [back_rewrite(30091),rewrite([31824(1),30916(2)]),xx(a)].
% 48.14/48.42 32297 multiply(sk_c7,sk_c7) = sk_c8 | multiply(inverse(sk_c4),multiply(sk_c7,A)) = multiply(sk_c8,A). [back_rewrite(8649),rewrite([31824(1)])].
% 48.14/48.42 32384 identity = sk_c3 | multiply(sk_c8,sk_c4) = identity. [para(31885(b,1),2(a,1,1))].
% 48.14/48.42 32386 identity = sk_c3 | sk_c4 = sk_c7. [para(31885(b,1),2822(a,1,1)),rewrite([26615(5)]),flip(b)].
% 48.14/48.42 32387 identity = sk_c3 | multiply(sk_c4,sk_c8) = identity. [para(31885(b,1),2704(a,1,2))].
% 48.14/48.42 32420 sk_c4 = sk_c7 | inverse(sk_c3) = identity. [para(32386(a,1),2293(a,1,1))].
% 48.14/48.42 32424 identity = sk_c3 | inverse(sk_c6) = sk_c5. [para(31886(b,1),2822(a,1,1))].
% 48.14/48.42 32810 identity = sk_c3 | identity = sk_c7. [para(32387(b,1),31887(b,1)),merge(b)].
% 48.14/48.42 32861 identity = sk_c7 | multiply(A,sk_c3) = A. [para(32810(a,1),2229(a,1,2))].
% 48.14/48.42 33376 multiply(sk_c8,sk_c3) = sk_c7 | multiply(sk_c7,multiply(inverse(sk_c4),sk_c7)) = identity. [para(9762(b,1),2(a,1)),rewrite([12828(10),12828(9),26615(7),33(11),33(14),33(13),98(12)])].
% 48.14/48.42 34201 identity = sk_c3 | multiply(sk_c7,sk_c5) = sk_c5. [para(32424(b,1),31944(b,1,2)),merge(b)].
% 48.14/48.42 34498 identity = sk_c3 | inverse(sk_c5) = sk_c7. [para(32115(b,1),31889(b,1)),merge(b)].
% 48.14/48.42 34502 identity = sk_c3 | multiply(sk_c7,sk_c5) = identity. [para(34498(b,1),2(a,1,1))].
% 48.14/48.42 34962 identity = sk_c3 | identity = sk_c5. [para(34502(b,1),34201(b,1)),merge(b)].
% 48.14/48.42 34969 identity = sk_c3 | multiply(sk_c8,sk_c4) = sk_c5. [para(34962(b,1),32384(b,2)),merge(b)].
% 48.14/48.42 36620 identity = sk_c3 | multiply(sk_c7,sk_c5) = sk_c4. [para(34969(b,1),98(a,1,2)),rewrite([26615(5)])].
% 48.14/48.42 37263 identity = sk_c3 | identity = sk_c4. [para(36620(b,1),34502(b,1)),flip(c),merge(b)].
% 48.14/48.42 37321 identity = sk_c3 | sk_c4 != sk_c8 | sk_c7 != sk_c8. [para(37263(b,1),30089(a,1))].
% 48.14/48.42 38486 inverse(sk_c4) = sk_c8 | inverse(sk_c3) = sk_c7. [para(32136(b,1),16028(b,2)),rewrite([30918(14)]),merge(b)].
% 48.14/48.42 38500 inverse(sk_c3) = sk_c7 | sk_c4 = sk_c7. [para(38486(a,1),2822(a,1,1)),rewrite([26615(6)]),flip(b)].
% 48.14/48.42 38531 sk_c4 = sk_c7 | identity = sk_c7. [para(38500(a,1),32420(b,1)),flip(c),merge(b)].
% 48.14/48.42 38536 sk_c4 = sk_c7 | inverse(sk_c4) = sk_c8. [resolve(38531,b,32270,a)].
% 48.14/48.42 38583 sk_c4 = sk_c7. [para(38536(b,1),2822(a,1,1)),rewrite([26615(5)]),flip(b),merge(b)].
% 48.14/48.42 38679 identity = sk_c3 | sk_c7 != sk_c8. [back_rewrite(37321),rewrite([38583(4)]),merge(c)].
% 48.14/48.42 38855 multiply(sk_c8,sk_c3) = sk_c7 | identity = sk_c7. [back_rewrite(33376),rewrite([38583(7),30916(8),30917(9),2229(8)]),flip(b)].
% 48.14/48.42 38891 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c8,A) = A. [back_rewrite(32297),rewrite([38583(6),30916(7),30918(9)]),flip(b)].
% 48.14/48.42 39146 identity = sk_c7 | sk_c7 = sk_c8. [para(38855(a,1),32861(b,1)),merge(b)].
% 48.14/48.42 39172 sk_c7 = sk_c8 | identity = sk_c8. [para(39146(a,1),2293(a,1,1)),rewrite([30916(5)]),flip(b)].
% 48.14/48.42 39221 sk_c7 = sk_c8. [para(39172(b,1),39146(a,1)),flip(b),merge(b),merge(c)].
% 48.14/48.42 39405 multiply(sk_c8,sk_c8) = sk_c8 | multiply(sk_c8,A) = A. [back_rewrite(38891),rewrite([39221(1),39221(2)])].
% 48.14/48.42 39496 identity = sk_c3. [back_rewrite(38679),rewrite([39221(4)]),xx(b)].
% 48.14/48.42 40696 multiply(sk_c8,sk_c8) = sk_c3. [back_rewrite(30917),rewrite([39221(2),39496(4)])].
% 48.14/48.42 40758 sk_c3 != sk_c8. [back_rewrite(30134),rewrite([39221(1),39221(2),40696(3),39221(4),40696(9),39221(8)]),xx(b),merge(b)].
% 48.14/48.42 40912 $F. [factor(39405,a,b),rewrite([40696(3)]),unit_del(a,40758)].
% 48.14/48.42
% 48.14/48.42 % SZS output end Refutation
% 48.14/48.42 ============================== end of proof ==========================
% 48.14/48.42
% 48.14/48.42 ============================== STATISTICS ============================
% 48.14/48.42
% 48.14/48.42 Given=4997. Generated=2513425. Kept=40911. proofs=1.
% 48.14/48.42 Usable=73. Sos=341. Demods=18. Limbo=1507, Disabled=39024. Hints=0.
% 48.14/48.42 Megabytes=32.86.
% 48.14/48.42 User_CPU=46.13, System_CPU=1.28, Wall_clock=47.
% 48.14/48.42
% 48.14/48.42 ============================== end of statistics =====================
% 48.14/48.42
% 48.14/48.42 ============================== end of search =========================
% 48.14/48.42
% 48.14/48.42 THEOREM PROVED
% 48.14/48.42 % SZS status Unsatisfiable
% 48.14/48.42
% 48.14/48.42 Exiting with 1 proof.
% 48.14/48.42
% 48.14/48.42 Process 5914 exit (max_proofs) Tue Jun 14 06:15:26 2022
% 48.14/48.42 Prover9 interrupted
%------------------------------------------------------------------------------