TSTP Solution File: GRP301-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP301-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 11:18:32 EDT 2022
% Result : Unsatisfiable 103.44s 103.76s
% Output : Refutation 103.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP301-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 09:07:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 103.44/103.76 ============================== Prover9 ===============================
% 103.44/103.76 Prover9 (32) version 2009-11A, November 2009.
% 103.44/103.76 Process 2865 was started by sandbox2 on n007.cluster.edu,
% 103.44/103.76 Tue Jun 14 09:07:25 2022
% 103.44/103.76 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2618_n007.cluster.edu".
% 103.44/103.76 ============================== end of head ===========================
% 103.44/103.76
% 103.44/103.76 ============================== INPUT =================================
% 103.44/103.76
% 103.44/103.76 % Reading from file /tmp/Prover9_2618_n007.cluster.edu
% 103.44/103.76
% 103.44/103.76 set(prolog_style_variables).
% 103.44/103.76 set(auto2).
% 103.44/103.76 % set(auto2) -> set(auto).
% 103.44/103.76 % set(auto) -> set(auto_inference).
% 103.44/103.76 % set(auto) -> set(auto_setup).
% 103.44/103.76 % set(auto_setup) -> set(predicate_elim).
% 103.44/103.76 % set(auto_setup) -> assign(eq_defs, unfold).
% 103.44/103.76 % set(auto) -> set(auto_limits).
% 103.44/103.76 % set(auto_limits) -> assign(max_weight, "100.000").
% 103.44/103.76 % set(auto_limits) -> assign(sos_limit, 20000).
% 103.44/103.76 % set(auto) -> set(auto_denials).
% 103.44/103.76 % set(auto) -> set(auto_process).
% 103.44/103.76 % set(auto2) -> assign(new_constants, 1).
% 103.44/103.76 % set(auto2) -> assign(fold_denial_max, 3).
% 103.44/103.76 % set(auto2) -> assign(max_weight, "200.000").
% 103.44/103.76 % set(auto2) -> assign(max_hours, 1).
% 103.44/103.76 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 103.44/103.76 % set(auto2) -> assign(max_seconds, 0).
% 103.44/103.76 % set(auto2) -> assign(max_minutes, 5).
% 103.44/103.76 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 103.44/103.76 % set(auto2) -> set(sort_initial_sos).
% 103.44/103.76 % set(auto2) -> assign(sos_limit, -1).
% 103.44/103.76 % set(auto2) -> assign(lrs_ticks, 3000).
% 103.44/103.76 % set(auto2) -> assign(max_megs, 400).
% 103.44/103.76 % set(auto2) -> assign(stats, some).
% 103.44/103.76 % set(auto2) -> clear(echo_input).
% 103.44/103.76 % set(auto2) -> set(quiet).
% 103.44/103.76 % set(auto2) -> clear(print_initial_clauses).
% 103.44/103.76 % set(auto2) -> clear(print_given).
% 103.44/103.76 assign(lrs_ticks,-1).
% 103.44/103.76 assign(sos_limit,10000).
% 103.44/103.76 assign(order,kbo).
% 103.44/103.76 set(lex_order_vars).
% 103.44/103.76 clear(print_given).
% 103.44/103.76
% 103.44/103.76 % formulas(sos). % not echoed (34 formulas)
% 103.44/103.76
% 103.44/103.76 ============================== end of input ==========================
% 103.44/103.76
% 103.44/103.76 % From the command line: assign(max_seconds, 300).
% 103.44/103.76
% 103.44/103.76 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 103.44/103.76
% 103.44/103.76 % Formulas that are not ordinary clauses:
% 103.44/103.76
% 103.44/103.76 ============================== end of process non-clausal formulas ===
% 103.44/103.76
% 103.44/103.76 ============================== PROCESS INITIAL CLAUSES ===============
% 103.44/103.76
% 103.44/103.76 ============================== PREDICATE ELIMINATION =================
% 103.44/103.76
% 103.44/103.76 ============================== end predicate elimination =============
% 103.44/103.76
% 103.44/103.76 Auto_denials: (non-Horn, no changes).
% 103.44/103.76
% 103.44/103.76 Term ordering decisions:
% 103.44/103.76
% 103.44/103.76 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 103.44/103.76 Function symbol KB weights: sk_c6=1. sk_c7=1. sk_c5=1. sk_c3=1. sk_c4=1. sk_c1=1. sk_c2=1. identity=1. multiply=1. inverse=0.
% 103.44/103.76
% 103.44/103.76 ============================== end of process initial clauses ========
% 103.44/103.76
% 103.44/103.76 ============================== CLAUSES FOR SEARCH ====================
% 103.44/103.76
% 103.44/103.76 ============================== end of clauses for search =============
% 103.44/103.76
% 103.44/103.76 ============================== SEARCH ================================
% 103.44/103.76
% 103.44/103.76 % Starting search at 0.02 seconds.
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=51.000, iters=3647
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=46.000, iters=3553
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=45.000, iters=3496
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=44.000, iters=3424
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=43.000, iters=3431
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=42.000, iters=3376
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=41.000, iters=3368
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=40.000, iters=3345
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=39.000, iters=3346
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=37.000, iters=3402
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=36.000, iters=3344
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=35.000, iters=3362
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=34.000, iters=3514
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=33.000, iters=3340
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=31.000, iters=3413
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=30.000, iters=3404
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=28.000, iters=3343
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=17.000, iters=3376
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=16.000, iters=3333
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=15.000, iters=3348
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=14.000, iters=3343
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=13.000, iters=3334
% 103.44/103.76
% 103.44/103.76 Low Water (displace): id=2812, wt=52.000
% 103.44/103.76
% 103.44/103.76 Low Water (displace): id=19014, wt=12.000
% 103.44/103.76
% 103.44/103.76 Low Water (displace): id=19160, wt=11.000
% 103.44/103.76
% 103.44/103.76 Low Water (keep): wt=12.000, iters=3346
% 103.44/103.76
% 103.44/103.76 ============================== PROOF =================================
% 103.44/103.76 % SZS status Unsatisfiable
% 103.44/103.76 % SZS output start Refutation
% 103.44/103.76
% 103.44/103.76 % Proof 1 at 100.30 (+ 2.43) seconds.
% 103.44/103.76 % Length of proof is 198.
% 103.44/103.76 % Level of proof is 39.
% 103.44/103.76 % Maximum clause weight is 54.000.
% 103.44/103.76 % Given clauses 6574.
% 103.44/103.76
% 103.44/103.76 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 103.44/103.76 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 103.44/103.76 3 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 103.44/103.76 4 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 103.44/103.76 5 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 103.44/103.76 6 inverse(sk_c7) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 103.44/103.76 8 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 103.44/103.76 9 multiply(sk_c7,sk_c6) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 103.44/103.76 10 multiply(sk_c7,sk_c6) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 103.44/103.76 11 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 103.44/103.76 12 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 103.44/103.76 16 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 103.44/103.76 17 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 103.44/103.76 18 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 103.44/103.76 20 multiply(sk_c2,sk_c6) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 103.44/103.76 22 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 103.44/103.76 23 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 103.44/103.76 24 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 103.44/103.76 31 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 103.44/103.76 32 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 103.44/103.76 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 103.44/103.76 34 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(D) != sk_c6 | multiply(D,sk_c5) != sk_c6 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 103.44/103.76 44 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c3) = identity. [para(5(b,1),2(a,1,1))].
% 103.44/103.76 45 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c4) = identity. [para(6(b,1),2(a,1,1))].
% 103.44/103.76 47 inverse(sk_c4) = sk_c6 | multiply(sk_c6,sk_c2) = identity. [para(8(a,1),2(a,1,1))].
% 103.44/103.76 48 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 103.44/103.76 51 inverse(sk_c4) = sk_c6 | multiply(sk_c7,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(10(a,1),33(a,1,1)),flip(b)].
% 103.44/103.76 52 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c7,sk_c6)) = multiply(A,sk_c5). [para(10(a,1),33(a,2,2)),rewrite([33(8)])].
% 103.44/103.76 53 inverse(sk_c3) = sk_c7 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(11(a,1),33(a,1,1)),flip(b)].
% 103.44/103.76 54 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(11(a,1),33(a,2,2)),rewrite([33(8)])].
% 103.44/103.76 55 inverse(sk_c4) = sk_c6 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(12(a,1),33(a,1,1)),flip(b)].
% 103.44/103.77 56 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(12(a,1),33(a,2,2)),rewrite([33(8)])].
% 103.44/103.77 63 inverse(sk_c7) = sk_c5 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(16(b,1),33(a,1,1)),flip(b)].
% 103.44/103.77 65 inverse(sk_c7) = sk_c5 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(17(b,1),33(a,1,1)),flip(b)].
% 103.44/103.77 66 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c3,sk_c6)) = multiply(A,sk_c7). [para(17(b,1),33(a,2,2)),rewrite([33(8)])].
% 103.44/103.77 67 inverse(sk_c7) = sk_c5 | multiply(sk_c4,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(18(b,1),33(a,1,1)),flip(b)].
% 103.44/103.77 68 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c4,sk_c5)) = multiply(A,sk_c6). [para(18(b,1),33(a,2,2)),rewrite([33(8)])].
% 103.44/103.77 71 inverse(sk_c4) = sk_c6 | multiply(sk_c2,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(20(a,1),33(a,1,1)),flip(b)].
% 103.44/103.77 95 multiply(sk_c4,sk_c5) = sk_c6 | multiply(sk_c2,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(32(a,1),33(a,1,1)),flip(b)].
% 103.44/103.77 132 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(multiply(D,E)) != sk_c6 | multiply(D,multiply(E,sk_c5)) != sk_c6. [para(33(a,1),34(k,1))].
% 103.44/103.77 221 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(multiply(C,D)) != sk_c6 | multiply(C,multiply(D,sk_c5)) != sk_c6. [factor(132,a,e)].
% 103.44/103.77 294 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | inverse(multiply(B,C)) != sk_c6 | multiply(B,multiply(C,sk_c5)) != sk_c6. [factor(221,c,g)].
% 103.44/103.77 337 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),48(a,1,2))].
% 103.44/103.77 342 inverse(sk_c4) = sk_c6 | multiply(sk_c6,multiply(sk_c2,A)) = A. [para(8(a,1),48(a,1,1))].
% 103.44/103.77 346 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c1),sk_c6) = sk_c7. [para(12(a,1),48(a,1,2))].
% 103.44/103.77 351 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(17(b,1),48(a,1,2))].
% 103.44/103.77 356 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(22(b,1),48(a,1,2))].
% 103.44/103.77 365 multiply(sk_c3,sk_c6) = sk_c7 | multiply(inverse(sk_c2),sk_c5) = sk_c6. [para(31(a,1),48(a,1,2))].
% 103.44/103.77 369 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(48(a,1),48(a,1,2))].
% 103.44/103.77 370 multiply(A,identity) = A. [back_rewrite(337),rewrite([369(4)])].
% 103.44/103.77 400 inverse(sk_c7) = sk_c5 | inverse(sk_c7) = sk_c3. [para(44(b,1),48(a,1,2)),rewrite([370(8)])].
% 103.44/103.77 401 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c7) = identity. [para(400(b,1),2(a,1,1))].
% 103.44/103.77 404 inverse(sk_c7) = sk_c5 | inverse(sk_c6) = sk_c4. [para(45(b,1),48(a,1,2)),rewrite([370(8)])].
% 103.44/103.77 426 inverse(sk_c6) = sk_c4 | multiply(sk_c5,sk_c7) = identity. [para(404(a,1),2(a,1,1))].
% 103.44/103.77 432 inverse(sk_c4) = sk_c6 | inverse(sk_c6) = sk_c2. [para(47(b,1),48(a,1,2)),rewrite([370(8)])].
% 103.44/103.77 445 multiply(A,inverse(A)) = identity. [para(369(a,1),2(a,1))].
% 103.44/103.77 447 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c7),A) = multiply(sk_c1,A). [para(4(a,1),369(a,1,1,1))].
% 103.44/103.77 448 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),A) = multiply(sk_c3,A). [para(5(b,1),369(a,1,1,1))].
% 103.44/103.77 451 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c6),A) = multiply(sk_c2,A). [para(8(a,1),369(a,1,1,1))].
% 103.44/103.77 472 multiply(A,multiply(inverse(A),B)) = B. [para(369(a,1),48(a,1))].
% 103.44/103.77 473 inverse(inverse(A)) = A. [para(369(a,1),370(a,1)),rewrite([370(2)]),flip(a)].
% 103.44/103.77 479 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c6),A) = multiply(sk_c4,A). [para(432(a,1),369(a,1,1,1))].
% 103.44/103.77 500 inverse(sk_c3) = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(3(a,1),445(a,1,2))].
% 103.44/103.77 501 inverse(sk_c4) = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(4(a,1),445(a,1,2))].
% 103.44/103.77 502 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c6) = identity. [para(6(b,1),445(a,1,2))].
% 103.44/103.77 505 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(445(a,1),33(a,1)),flip(a)].
% 103.44/103.77 510 inverse(sk_c6) = sk_c2 | multiply(sk_c4,sk_c6) = identity. [para(432(a,1),445(a,1,2))].
% 103.44/103.77 513 inverse(sk_c3) = sk_c7 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(3(a,1),472(a,1,2,1))].
% 103.44/103.77 515 inverse(sk_c7) = sk_c5 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(6(b,1),472(a,1,2,1))].
% 103.44/103.77 566 inverse(sk_c4) = sk_c6 | multiply(sk_c5,sk_c2) = sk_c7. [para(47(b,1),51(b,1,2)),rewrite([370(11)]),flip(c),merge(b)].
% 103.44/103.77 723 inverse(sk_c6) = sk_c4 | multiply(A,multiply(sk_c5,sk_c7)) = A. [para(426(b,1),33(a,2,2)),rewrite([33(8),370(10)])].
% 103.44/103.77 845 inverse(sk_c3) = sk_c7 | multiply(A,sk_c6) = A. [para(500(b,1),54(b,1,2)),rewrite([370(10)]),flip(c),merge(b)].
% 103.44/103.77 965 inverse(sk_c4) = sk_c6 | multiply(A,sk_c6) = A. [para(501(b,1),56(b,1,2)),rewrite([370(10)]),flip(c),merge(b)].
% 103.44/103.77 1041 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(502(b,1),33(a,2,2)),rewrite([33(8),370(10)])].
% 103.44/103.77 1715 inverse(sk_c6) = sk_c2 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(510(b,1),33(a,2,2)),rewrite([33(8),370(10)])].
% 103.44/103.77 1918 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c3) = sk_c6. [para(44(b,1),63(b,1,2)),rewrite([370(11)]),flip(c),merge(b)].
% 103.44/103.77 1993 inverse(sk_c3) = sk_c7 | sk_c5 = sk_c7. [para(845(b,1),9(a,1)),flip(b),merge(c)].
% 103.44/103.77 2048 sk_c5 = sk_c7 | multiply(sk_c7,sk_c3) = identity. [para(1993(a,1),2(a,1,1))].
% 103.44/103.77 2247 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c7). [para(16(b,1),65(b,1,2)),merge(b)].
% 103.44/103.77 2250 inverse(sk_c7) = sk_c5 | multiply(sk_c3,multiply(sk_c6,sk_c3)) = identity. [para(44(b,1),65(b,2)),merge(b)].
% 103.44/103.77 2358 sk_c5 = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = A. [para(2048(b,1),33(a,2,2)),rewrite([33(7),370(9)])].
% 103.44/103.77 2400 inverse(sk_c7) = sk_c5 | multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c5. [para(16(b,1),66(b,2)),merge(b)].
% 103.44/103.77 2402 inverse(sk_c7) = sk_c5 | multiply(sk_c3,multiply(sk_c3,sk_c6)) = identity. [para(401(b,1),66(b,2)),merge(b)].
% 103.44/103.77 2608 inverse(sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c5)) = sk_c4. [para(445(a,1),67(b,1,2)),rewrite([370(7)]),flip(b)].
% 103.44/103.77 2806 inverse(sk_c4) = sk_c6 | inverse(sk_c6) = identity. [para(965(b,1),2(a,1))].
% 103.44/103.77 2807 inverse(sk_c4) = sk_c6 | sk_c5 = sk_c7. [para(965(b,1),10(a,1)),flip(b),merge(c)].
% 103.44/103.77 2869 sk_c5 = sk_c7 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(2807(a,1),48(a,1,1))].
% 103.44/103.77 3290 inverse(sk_c6) = identity | inverse(sk_c6) = sk_c4. [para(2806(a,1),473(a,1,1))].
% 103.44/103.77 3593 inverse(sk_c6) = sk_c4 | multiply(sk_c6,A) = A. [para(3290(a,1),48(a,1,1)),rewrite([1(8)])].
% 103.44/103.77 3606 inverse(sk_c4) = sk_c6 | multiply(sk_c5,sk_c2) = sk_c2. [para(47(b,1),71(b,1,2)),rewrite([370(11)]),flip(c),merge(b)].
% 103.44/103.77 3716 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = sk_c3. [para(1918(b,1),48(a,1,2))].
% 103.44/103.77 4564 inverse(sk_c4) = sk_c6 | sk_c2 = sk_c7. [para(3606(b,1),566(b,1)),merge(b)].
% 103.44/103.77 4718 sk_c2 = sk_c7 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(4564(a,1),472(a,1,2,1))].
% 103.44/103.77 6551 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c7) = sk_c6. [para(5(b,1),351(b,1,1)),merge(b)].
% 103.44/103.77 6809 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(505(a,1),48(a,1,2)),rewrite([370(3)]),flip(a)].
% 103.44/103.77 6894 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c5)) = inverse(sk_c7). [para(24(a,1),6809(a,1,2,1))].
% 103.44/103.77 6906 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(6809(a,1),48(a,1,2)),flip(a)].
% 103.44/103.77 8208 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(inverse(B),inverse(C)) != sk_c6 | multiply(C,multiply(B,sk_c5)) != sk_c6. [back_rewrite(294),rewrite([6906(31)])].
% 103.44/103.77 9338 multiply(sk_c4,sk_c5) = sk_c6 | multiply(sk_c5,inverse(sk_c6)) = sk_c2. [para(445(a,1),95(b,1,2)),rewrite([370(8)]),flip(b)].
% 103.44/103.77 10082 sk_c5 = sk_c7 | multiply(sk_c7,sk_c3) = multiply(sk_c6,sk_c4). [para(2358(b,1),2869(b,1,2)),flip(c),merge(b)].
% 103.44/103.77 11994 sk_c5 = sk_c7 | multiply(inverse(sk_c7),multiply(sk_c6,sk_c4)) = sk_c3. [para(10082(b,1),48(a,1,2))].
% 103.44/103.77 13052 inverse(sk_c4) = sk_c6 | multiply(sk_c6,sk_c2) = sk_c6. [para(965(b,1),342(b,1,2)),merge(b)].
% 103.44/103.77 13333 inverse(sk_c3) = sk_c7 | multiply(sk_c6,A) = A. [para(513(b,1),53(b,1)),flip(c),merge(b)].
% 103.44/103.77 13350 inverse(sk_c3) = sk_c7 | multiply(inverse(sk_c6),A) = A. [para(13333(b,1),48(a,1,2))].
% 103.44/103.77 13898 inverse(sk_c3) = sk_c7 | inverse(sk_c6) = sk_c6. [para(13350(b,1),845(b,1)),flip(c),merge(b)].
% 103.44/103.77 13916 inverse(sk_c6) = sk_c6 | inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c7) = sk_c6. [para(13898(a,1),356(b,1,1))].
% 103.44/103.77 16489 inverse(sk_c4) = sk_c6 | multiply(sk_c1,sk_c5) = sk_c6. [para(447(b,1),52(b,2)),rewrite([48(14)]),flip(c),merge(b)].
% 103.44/103.77 16490 inverse(sk_c4) = sk_c6 | multiply(sk_c6,A) = A. [para(55(b,1),447(b,2)),rewrite([48(13)]),flip(c),merge(b)].
% 103.44/103.77 16510 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c1),sk_c6) = sk_c5. [para(16489(b,1),48(a,1,2))].
% 103.44/103.77 16522 inverse(sk_c4) = sk_c6 | sk_c2 = sk_c6. [para(16490(b,1),13052(b,1)),merge(b)].
% 103.44/103.77 16527 sk_c2 = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(16522(a,1),445(a,1,2))].
% 103.44/103.77 16560 sk_c2 = sk_c6 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(16527(b,1),33(a,2,2)),rewrite([33(7),370(9)])].
% 103.44/103.77 16674 inverse(sk_c4) = sk_c6 | multiply(sk_c5,A) = A. [para(71(b,1),451(b,2)),rewrite([48(13)]),flip(c),merge(b)].
% 103.44/103.77 16709 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c5),A) = A. [para(16674(b,1),48(a,1,2))].
% 103.44/103.77 16990 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(sk_c5,inverse(B)) != sk_c6 | sk_c6 != B. [para(2(a,1),8208(i,1,2)),rewrite([473(32),370(36)]),flip(i)].
% 103.44/103.77 16994 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(sk_c5,B) != sk_c6 | inverse(B) != sk_c6. [para(473(a,1),16990(h,1,2)),flip(i)].
% 103.44/103.77 17007 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(inverse(sk_c6),sk_c5) != sk_c6. [resolve(16994,h,472,a),rewrite([6906(34),473(34)])].
% 103.44/103.77 17011 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,multiply(B,sk_c7)) != sk_c6 | multiply(inverse(B),inverse(A)) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(B,sk_c6)) != sk_c7 | multiply(inverse(sk_c6),sk_c5) != sk_c6. [para(33(a,1),17007(b,1)),rewrite([6906(12),33(31)])].
% 103.44/103.77 17106 inverse(sk_c4) = sk_c6 | inverse(sk_c1) = sk_c5. [para(16510(b,1),965(b,1)),flip(c),merge(b)].
% 103.44/103.77 17109 multiply(sk_c7,sk_c6) != sk_c5 | sk_c6 != A | multiply(sk_c7,inverse(A)) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(inverse(sk_c7),sk_c6)) != sk_c7 | multiply(inverse(sk_c6),sk_c5) != sk_c6. [para(2(a,1),17011(b,1,2)),rewrite([370(7),473(10)]),flip(b)].
% 103.44/103.77 17111 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(B,multiply(inverse(sk_c7),sk_c6))) != sk_c7 | multiply(inverse(sk_c6),sk_c5) != sk_c6. [para(33(a,1),17109(g,1)),rewrite([6906(11)]),flip(b)].
% 103.44/103.77 17121 inverse(sk_c4) = sk_c6 | multiply(sk_c5,sk_c6) = sk_c7. [para(17106(b,1),346(b,1,1)),merge(b)].
% 103.44/103.77 17281 inverse(sk_c4) = sk_c6 | sk_c7 = sk_c6. [para(17121(b,1),16674(b,1)),merge(b)].
% 103.44/103.77 17301 sk_c7 = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(17281(a,1),472(a,1,2,1))].
% 103.44/103.77 17724 inverse(sk_c4) = sk_c6 | inverse(sk_c5) = sk_c6. [para(16709(b,1),965(b,1)),flip(c),merge(b)].
% 103.44/103.77 17731 inverse(sk_c5) = sk_c6 | inverse(sk_c6) = sk_c4. [para(17724(a,1),473(a,1,1))].
% 103.44/103.77 19569 inverse(sk_c6) = sk_c4 | multiply(sk_c5,sk_c7) = sk_c6. [para(723(b,1),3593(b,1)),flip(c),merge(b)].
% 103.44/103.77 19611 inverse(sk_c6) = sk_c4 | multiply(inverse(sk_c5),sk_c6) = sk_c7. [para(19569(b,1),48(a,1,2))].
% 103.44/103.77 20566 inverse(sk_c6) = sk_c4 | multiply(sk_c6,sk_c6) = sk_c7. [para(17731(a,1),19611(b,1,1)),merge(b)].
% 103.44/103.77 22076 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,multiply(inverse(sk_c6),sk_c7)) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | inverse(sk_c7) != sk_c5 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c7 != A | multiply(inverse(sk_c6),sk_c5) != sk_c6. [para(2(a,1),17111(g,1,2)),rewrite([6906(10),473(10),6906(18),473(18),6906(18),473(18),33(19),472(20),370(32)]),flip(g)].
% 103.44/103.77 23099 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c6),multiply(sk_c4,sk_c6)) = sk_c4. [para(1715(b,1),479(b,2)),merge(b)].
% 103.44/103.77 23929 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c5) = sk_c6. [para(6551(b,1),2247(b,2)),merge(b)].
% 103.44/103.77 23932 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c3),sk_c6) = sk_c5. [para(23929(b,1),48(a,1,2))].
% 103.44/103.77 23958 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c3) = inverse(sk_c3). [para(2250(b,1),48(a,1,2)),rewrite([370(8)]),flip(b)].
% 103.44/103.77 24018 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c6) = inverse(sk_c3). [para(2402(b,1),48(a,1,2)),rewrite([370(8)]),flip(b)].
% 103.44/103.77 24030 inverse(sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c3)) = sk_c5. [para(24018(b,1),2400(b,1,2)),merge(b)].
% 103.44/103.77 24036 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c5) = inverse(sk_c3). [para(24030(b,1),515(b,1,2)),merge(b)].
% 103.44/103.77 24038 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c6. [para(24036(b,1),18(b,1)),merge(b)].
% 103.44/103.77 24062 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c3) = identity. [para(24038(b,1),2(a,1,1))].
% 103.44/103.77 24122 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = identity. [para(24062(b,1),23958(b,1)),flip(c),merge(b)].
% 103.44/103.77 24502 inverse(sk_c7) = sk_c5 | multiply(sk_c3,A) = A. [para(24122(b,1),48(a,1,1)),rewrite([1(8)])].
% 103.44/103.77 24518 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c5) = identity. [para(24122(b,1),24036(b,2)),merge(b)].
% 103.44/103.77 25445 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),A) = A. [para(24502(b,1),448(b,2)),merge(b)].
% 103.44/103.77 25473 inverse(sk_c7) = sk_c5 | multiply(A,sk_c6) = A. [para(24518(b,1),68(b,1,2)),rewrite([370(10)]),flip(c),merge(b)].
% 103.44/103.77 26045 inverse(sk_c7) = sk_c5 | inverse(sk_c5) = sk_c3. [para(25473(b,1),3716(b,1)),merge(b)].
% 103.44/103.77 26104 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c3) = sk_c4. [para(26045(b,1),2608(b,1,2)),merge(b)].
% 103.44/103.77 27147 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c4. [para(26104(b,1),23958(b,1)),flip(c),merge(b)].
% 103.44/103.77 27169 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c6) = sk_c5. [para(27147(b,1),23932(b,1,1)),merge(b)].
% 103.44/103.77 27675 inverse(sk_c7) = sk_c5 | multiply(A,sk_c5) = A. [para(27169(b,1),1041(b,1,2)),merge(b)].
% 103.44/103.77 29185 inverse(sk_c7) = sk_c5. [para(25445(b,1),27675(b,1)),flip(c),merge(b),merge(c)].
% 103.44/103.77 30373 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,multiply(inverse(sk_c6),sk_c7)) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c7 != A | multiply(inverse(sk_c6),sk_c5) != sk_c6. [back_rewrite(22076),rewrite([29185(19),29185(22)]),xx(d)].
% 103.44/103.77 32490 sk_c5 = sk_c7 | multiply(sk_c5,multiply(sk_c6,sk_c4)) = sk_c3. [back_rewrite(11994),rewrite([29185(5)])].
% 103.44/103.77 33248 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c5)) = sk_c5. [back_rewrite(6894),rewrite([29185(11)])].
% 103.44/103.77 34465 multiply(sk_c5,sk_c7) = identity. [para(29185(a,1),2(a,1,1))].
% 103.44/103.77 34466 multiply(sk_c5,multiply(sk_c7,A)) = A. [para(29185(a,1),48(a,1,1))].
% 103.44/103.77 34467 inverse(sk_c5) = sk_c7. [para(29185(a,1),473(a,1,1))].
% 103.44/103.77 34468 multiply(sk_c7,sk_c5) = identity. [para(29185(a,1),445(a,1,2))].
% 103.44/103.77 34506 multiply(sk_c6,sk_c7) = sk_c5. [back_rewrite(33248),rewrite([34467(8)]),merge(b)].
% 103.44/103.77 36350 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,multiply(inverse(sk_c6),sk_c7)) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c5 != sk_c6 | sk_c7 != A | multiply(inverse(sk_c6),sk_c5) != sk_c6. [back_rewrite(30373),rewrite([34506(23)]),xx(e)].
% 103.44/103.77 37063 multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(34506(a,1),48(a,1,2))].
% 103.44/103.77 37074 sk_c2 = sk_c7 | multiply(sk_c4,sk_c5) = sk_c7. [para(34506(a,1),4718(b,1,2))].
% 103.44/103.77 37078 multiply(sk_c5,inverse(sk_c6)) = sk_c7. [para(34506(a,1),6906(a,1,1)),rewrite([34467(2),29185(3)]),flip(a)].
% 103.44/103.77 37084 sk_c7 = sk_c6 | multiply(sk_c4,sk_c5) = sk_c7. [para(34506(a,1),17301(b,1,2))].
% 103.44/103.77 37179 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,multiply(inverse(sk_c6),sk_c7)) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c5 != sk_c6 | sk_c7 != A | sk_c7 != sk_c6. [back_rewrite(36350),rewrite([37063(26)])].
% 103.44/103.77 37528 multiply(sk_c4,sk_c5) = sk_c6 | sk_c2 = sk_c7. [back_rewrite(9338),rewrite([37078(9)]),flip(b)].
% 103.44/103.77 37565 multiply(sk_c7,sk_c6) = sk_c5. [para(37063(a,1),6906(a,1,1)),rewrite([29185(2),34467(3),473(5)]),flip(a)].
% 103.44/103.77 37896 multiply(A,multiply(inverse(sk_c6),sk_c7)) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c5 != sk_c6 | sk_c7 != A | sk_c7 != sk_c6. [back_rewrite(37179),rewrite([37565(3)]),xx(a)].
% 103.44/103.77 39394 multiply(sk_c5,sk_c5) = sk_c6. [para(37565(a,1),48(a,1,2)),rewrite([29185(2)])].
% 103.44/103.77 39494 multiply(sk_c7,sk_c7) = inverse(sk_c6). [para(39394(a,1),6906(a,1,1)),rewrite([34467(4),34467(5)]),flip(a)].
% 103.44/103.77 39586 inverse(sk_c6) = sk_c6 | inverse(sk_c2) = sk_c6. [back_rewrite(13916),rewrite([39494(11)]),merge(c)].
% 103.44/103.77 40054 sk_c7 = sk_c6 | inverse(sk_c2) = sk_c6. [para(37084(b,1),23(b,1)),merge(c)].
% 103.44/103.77 40143 sk_c2 = sk_c7 | sk_c7 = sk_c6. [para(37528(a,1),37074(b,1)),flip(c),merge(b)].
% 103.44/103.77 40149 sk_c7 = sk_c6 | sk_c5 = sk_c6. [para(40143(a,1),40054(b,1,1)),rewrite([29185(8)]),merge(b)].
% 103.44/103.77 40184 sk_c7 = sk_c6 | identity = sk_c5. [para(40149(b,1),34465(a,1,1)),rewrite([34506(6)]),flip(b)].
% 103.44/103.77 40185 sk_c7 = sk_c6 | identity = sk_c7. [para(40149(b,1),37063(a,1,2)),rewrite([2(7)])].
% 103.44/103.77 40428 sk_c7 = sk_c6 | identity = sk_c6. [para(40149(b,1),40184(b,2)),merge(b)].
% 103.44/103.77 40544 sk_c7 = sk_c6. [para(40428(b,1),40185(b,1)),flip(c),merge(b),merge(c)].
% 103.44/103.77 40854 multiply(sk_c6,sk_c6) = inverse(sk_c6). [back_rewrite(39494),rewrite([40544(1),40544(2)])].
% 103.44/103.77 41899 sk_c6 != A | multiply(sk_c6,inverse(A)) != sk_c6 | sk_c5 != sk_c6. [back_rewrite(37896),rewrite([40544(3),2(4),370(2),40544(6),40544(11),40544(13)]),flip(a),xx(e),merge(d)].
% 103.44/103.77 42093 inverse(sk_c6) = sk_c5. [back_rewrite(37565),rewrite([40544(1),40854(3)])].
% 103.44/103.77 42219 multiply(sk_c6,sk_c5) = identity. [back_rewrite(34468),rewrite([40544(1)])].
% 103.44/103.77 42220 inverse(sk_c5) = sk_c6. [back_rewrite(34467),rewrite([40544(3)])].
% 103.44/103.77 42221 multiply(sk_c5,multiply(sk_c6,A)) = A. [back_rewrite(34466),rewrite([40544(2)])].
% 103.44/103.77 42222 multiply(sk_c5,sk_c6) = identity. [back_rewrite(34465),rewrite([40544(2)])].
% 103.44/103.77 42240 sk_c5 = sk_c6 | sk_c4 = sk_c3. [back_rewrite(32490),rewrite([40544(2),42221(8)])].
% 103.44/103.77 42394 sk_c4 = sk_c5 | sk_c5 = sk_c6. [back_rewrite(20566),rewrite([42093(2),40854(6),42093(5),40544(5)]),flip(a)].
% 103.44/103.77 43575 multiply(sk_c3,sk_c6) = sk_c6 | multiply(inverse(sk_c2),sk_c5) = sk_c6. [back_rewrite(365),rewrite([40544(4)])].
% 103.44/103.77 43651 sk_c2 = sk_c5 | multiply(sk_c5,multiply(sk_c4,sk_c6)) = sk_c4. [back_rewrite(23099),rewrite([42093(2),42093(5)]),flip(a)].
% 103.44/103.77 43747 multiply(sk_c6,sk_c6) = sk_c5. [back_rewrite(40854),rewrite([42093(5)])].
% 103.44/103.77 43771 sk_c5 = sk_c6 | inverse(sk_c2) = sk_c6. [back_rewrite(39586),rewrite([42093(2)])].
% 103.44/103.77 43976 sk_c5 != sk_c6. [para(42220(a,1),41899(b,1,2)),rewrite([43747(6)]),flip(a),merge(b),merge(c)].
% 103.44/103.77 43977 inverse(sk_c2) = sk_c6. [back_unit_del(43771),unit_del(a,43976)].
% 103.44/103.77 44007 sk_c4 = sk_c5. [back_unit_del(42394),unit_del(b,43976)].
% 103.44/103.77 44008 sk_c3 = sk_c5. [back_unit_del(42240),rewrite([44007(4)]),flip(b),unit_del(a,43976)].
% 103.44/103.77 44011 identity = sk_c6. [back_rewrite(43575),rewrite([44008(1),42222(3),43977(5),42219(6)]),merge(b)].
% 103.44/103.77 44012 sk_c2 = sk_c5. [back_rewrite(43651),rewrite([44007(5),42222(7),44011(5),42222(6),44011(4),44007(5)]),flip(b),unit_del(b,43976)].
% 103.44/103.77 44015 multiply(A,sk_c6) = A. [back_rewrite(16560),rewrite([44012(1),44007(4),42222(6),44011(4)]),unit_del(a,43976)].
% 103.44/103.77 44016 $F. [back_rewrite(16527),rewrite([44012(1),44007(4),44015(6),44011(5)]),merge(b),unit_del(a,43976)].
% 103.44/103.77
% 103.44/103.77 % SZS output end Refutation
% 103.44/103.77 ============================== end of proof ==========================
% 103.44/103.77
% 103.44/103.77 ============================== STATISTICS ============================
% 103.44/103.77
% 103.44/103.77 Given=6574. Generated=4560862. Kept=44015. proofs=1.
% 103.44/103.77 Usable=195. Sos=1211. Demods=46. Limbo=29, Disabled=42614. Hints=0.
% 103.44/103.77 Megabytes=39.54.
% 103.44/103.77 User_CPU=100.31, System_CPU=2.43, Wall_clock=103.
% 103.44/103.77
% 103.44/103.77 ============================== end of statistics =====================
% 103.44/103.77
% 103.44/103.77 ============================== end of search =========================
% 103.44/103.77
% 103.44/103.77 THEOREM PROVED
% 103.44/103.77 % SZS status Unsatisfiable
% 103.44/103.77
% 103.44/103.77 Exiting with 1 proof.
% 103.44/103.77
% 103.44/103.77 Process 2865 exit (max_proofs) Tue Jun 14 09:09:08 2022
% 103.44/103.77 Prover9 interrupted
%------------------------------------------------------------------------------