TSTP Solution File: GRP288-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP288-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 11:18:29 EDT 2022
% Result : Unsatisfiable 281.28s 281.61s
% Output : Refutation 281.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP288-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 16:41:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 281.28/281.61 ============================== Prover9 ===============================
% 281.28/281.61 Prover9 (32) version 2009-11A, November 2009.
% 281.28/281.61 Process 13785 was started by sandbox on n027.cluster.edu,
% 281.28/281.61 Mon Jun 13 16:41:18 2022
% 281.28/281.61 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13622_n027.cluster.edu".
% 281.28/281.61 ============================== end of head ===========================
% 281.28/281.61
% 281.28/281.61 ============================== INPUT =================================
% 281.28/281.61
% 281.28/281.61 % Reading from file /tmp/Prover9_13622_n027.cluster.edu
% 281.28/281.61
% 281.28/281.61 set(prolog_style_variables).
% 281.28/281.61 set(auto2).
% 281.28/281.61 % set(auto2) -> set(auto).
% 281.28/281.61 % set(auto) -> set(auto_inference).
% 281.28/281.61 % set(auto) -> set(auto_setup).
% 281.28/281.61 % set(auto_setup) -> set(predicate_elim).
% 281.28/281.61 % set(auto_setup) -> assign(eq_defs, unfold).
% 281.28/281.61 % set(auto) -> set(auto_limits).
% 281.28/281.61 % set(auto_limits) -> assign(max_weight, "100.000").
% 281.28/281.61 % set(auto_limits) -> assign(sos_limit, 20000).
% 281.28/281.61 % set(auto) -> set(auto_denials).
% 281.28/281.61 % set(auto) -> set(auto_process).
% 281.28/281.61 % set(auto2) -> assign(new_constants, 1).
% 281.28/281.61 % set(auto2) -> assign(fold_denial_max, 3).
% 281.28/281.61 % set(auto2) -> assign(max_weight, "200.000").
% 281.28/281.61 % set(auto2) -> assign(max_hours, 1).
% 281.28/281.61 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 281.28/281.61 % set(auto2) -> assign(max_seconds, 0).
% 281.28/281.61 % set(auto2) -> assign(max_minutes, 5).
% 281.28/281.61 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 281.28/281.61 % set(auto2) -> set(sort_initial_sos).
% 281.28/281.61 % set(auto2) -> assign(sos_limit, -1).
% 281.28/281.61 % set(auto2) -> assign(lrs_ticks, 3000).
% 281.28/281.61 % set(auto2) -> assign(max_megs, 400).
% 281.28/281.61 % set(auto2) -> assign(stats, some).
% 281.28/281.61 % set(auto2) -> clear(echo_input).
% 281.28/281.61 % set(auto2) -> set(quiet).
% 281.28/281.61 % set(auto2) -> clear(print_initial_clauses).
% 281.28/281.61 % set(auto2) -> clear(print_given).
% 281.28/281.61 assign(lrs_ticks,-1).
% 281.28/281.61 assign(sos_limit,10000).
% 281.28/281.61 assign(order,kbo).
% 281.28/281.61 set(lex_order_vars).
% 281.28/281.61 clear(print_given).
% 281.28/281.61
% 281.28/281.61 % formulas(sos). % not echoed (29 formulas)
% 281.28/281.61
% 281.28/281.61 ============================== end of input ==========================
% 281.28/281.61
% 281.28/281.61 % From the command line: assign(max_seconds, 300).
% 281.28/281.61
% 281.28/281.61 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 281.28/281.61
% 281.28/281.61 % Formulas that are not ordinary clauses:
% 281.28/281.61
% 281.28/281.61 ============================== end of process non-clausal formulas ===
% 281.28/281.61
% 281.28/281.61 ============================== PROCESS INITIAL CLAUSES ===============
% 281.28/281.61
% 281.28/281.61 ============================== PREDICATE ELIMINATION =================
% 281.28/281.61
% 281.28/281.61 ============================== end predicate elimination =============
% 281.28/281.61
% 281.28/281.61 Auto_denials: (non-Horn, no changes).
% 281.28/281.61
% 281.28/281.61 Term ordering decisions:
% 281.28/281.61
% 281.28/281.61 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 281.28/281.61 Function symbol KB weights: sk_c6=1. sk_c7=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 281.28/281.61
% 281.28/281.61 ============================== end of process initial clauses ========
% 281.28/281.61
% 281.28/281.61 ============================== CLAUSES FOR SEARCH ====================
% 281.28/281.61
% 281.28/281.61 ============================== end of clauses for search =============
% 281.28/281.61
% 281.28/281.61 ============================== SEARCH ================================
% 281.28/281.61
% 281.28/281.61 % Starting search at 0.01 seconds.
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=40.000, iters=3417
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=38.000, iters=3440
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=37.000, iters=3370
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=36.000, iters=3350
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=35.000, iters=3355
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=34.000, iters=3335
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=33.000, iters=3648
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=32.000, iters=3340
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=31.000, iters=3358
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=30.000, iters=3334
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=29.000, iters=3404
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=27.000, iters=3380
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=24.000, iters=3343
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=17.000, iters=3569
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=16.000, iters=3334
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=15.000, iters=3333
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=14.000, iters=3381
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=13.000, iters=3334
% 281.28/281.61
% 281.28/281.61 Low Water (displace): id=3488, wt=48.000
% 281.28/281.61
% 281.28/281.61 Low Water (displace): id=17640, wt=12.000
% 281.28/281.61
% 281.28/281.61 Low Water (displace): id=18994, wt=11.000
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=12.000, iters=3333
% 281.28/281.61
% 281.28/281.61 Low Water (keep): wt=11.000, iters=3333
% 281.28/281.61
% 281.28/281.61 ============================== PROOF =================================
% 281.28/281.61 % SZS status Unsatisfiable
% 281.28/281.61 % SZS output start Refutation
% 281.28/281.61
% 281.28/281.61 % Proof 1 at 273.31 (+ 7.12) seconds.
% 281.28/281.61 % Length of proof is 247.
% 281.28/281.61 % Level of proof is 38.
% 281.28/281.61 % Maximum clause weight is 46.000.
% 281.28/281.61 % Given clauses 10122.
% 281.28/281.61
% 281.28/281.61 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 281.28/281.61 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 281.28/281.61 3 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 281.28/281.61 4 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 281.28/281.61 5 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 281.28/281.61 6 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 281.28/281.61 7 multiply(sk_c7,sk_c6) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 281.28/281.61 8 multiply(sk_c7,sk_c6) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 281.28/281.61 9 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 281.28/281.61 10 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 281.28/281.61 11 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 281.28/281.61 12 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 281.28/281.61 13 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 281.28/281.61 15 multiply(sk_c2,sk_c6) = sk_c5 | inverse(sk_c4) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 281.28/281.61 16 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 281.28/281.61 17 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 281.28/281.61 18 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 281.28/281.61 19 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 281.28/281.61 20 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 281.28/281.61 21 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 281.28/281.61 22 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 281.28/281.61 23 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 281.28/281.61 24 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 281.28/281.61 25 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 281.28/281.61 27 multiply(sk_c2,sk_c6) = sk_c5 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 281.28/281.61 28 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 281.28/281.61 29 multiply(sk_c7,sk_c6) != sk_c5 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | 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 | multiply(D,sk_c6) != sk_c7 | inverse(D) != sk_c6 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 281.28/281.61 45 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c3) = identity. [para(3(b,1),2(a,1,1))].
% 281.28/281.61 46 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 281.28/281.61 47 inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c3) = identity. [para(5(b,1),2(a,1,1))].
% 281.28/281.61 48 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c4) = identity. [para(6(b,1),2(a,1,1))].
% 281.28/281.61 49 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),28(a,1,1)),rewrite([1(2)]),flip(a)].
% 281.28/281.61 50 inverse(sk_c3) = sk_c7 | multiply(sk_c7,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(7(a,1),28(a,1,1)),flip(b)].
% 281.28/281.61 55 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(9(a,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 57 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(10(a,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 60 inverse(sk_c1) = sk_c7 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(12(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 62 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(13(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 63 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c4,sk_c6)) = multiply(A,sk_c7). [para(13(b,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 67 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c2,sk_c6)) = multiply(A,sk_c5). [para(15(a,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 68 inverse(sk_c2) = sk_c6 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(16(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 72 inverse(sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(18(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 73 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c4,sk_c6)) = multiply(A,sk_c7). [para(18(b,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 74 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(19(a,1),28(a,1,1)),flip(b)].
% 281.28/281.61 76 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(20(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 78 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c4,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(21(b,1),28(a,1,1)),flip(b)].
% 281.28/281.61 86 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c2,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(25(a,1),28(a,1,1)),flip(b)].
% 281.28/281.61 118 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | inverse(inverse(sk_c7)) != sk_c7 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(C) != sk_c6. [para(2(a,1),29(b,1))].
% 281.28/281.61 582 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = multiply(A,identity). [para(45(b,1),28(a,2,2)),rewrite([28(8)])].
% 281.28/281.61 604 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),49(a,1,2))].
% 281.28/281.61 605 inverse(sk_c1) = sk_c7 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(4(b,1),49(a,1,1))].
% 281.28/281.61 609 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c7),sk_c5) = sk_c6. [para(8(a,1),49(a,1,2))].
% 281.28/281.61 612 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(11(b,1),49(a,1,2))].
% 281.28/281.61 613 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(12(b,1),49(a,1,2))].
% 281.28/281.61 618 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(17(b,1),49(a,1,2))].
% 281.28/281.61 624 multiply(sk_c1,sk_c7) = sk_c6 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(23(b,1),49(a,1,2))].
% 281.28/281.61 631 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(49(a,1),49(a,1,2))].
% 281.28/281.61 632 multiply(A,identity) = A. [back_rewrite(604),rewrite([631(4)])].
% 281.28/281.61 634 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = A. [back_rewrite(582),rewrite([632(10)])].
% 281.28/281.61 635 inverse(identity) = identity. [para(632(a,1),2(a,1))].
% 281.28/281.61 681 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c7,sk_c3)) = A. [para(47(b,1),28(a,2,2)),rewrite([28(8),632(10)])].
% 281.28/281.61 682 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = sk_c3. [para(47(b,1),49(a,1,2)),rewrite([632(8)])].
% 281.28/281.61 685 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c6,sk_c4)) = A. [para(48(b,1),28(a,2,2)),rewrite([28(8),632(10)])].
% 281.28/281.61 721 multiply(A,inverse(A)) = identity. [para(631(a,1),2(a,1))].
% 281.28/281.61 724 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c7),A) = multiply(sk_c3,A). [para(5(b,1),631(a,1,1,1))].
% 281.28/281.61 758 multiply(A,multiply(inverse(A),B)) = B. [para(631(a,1),49(a,1))].
% 281.28/281.61 759 inverse(inverse(A)) = A. [para(631(a,1),632(a,1)),rewrite([632(2)]),flip(a)].
% 281.28/281.61 796 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(C) != sk_c6. [back_rewrite(118),rewrite([759(11)]),xx(c)].
% 281.28/281.61 799 inverse(sk_c7) = sk_c3 | inverse(sk_c6) = sk_c2. [para(682(a,1),759(a,1,1))].
% 281.28/281.61 802 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = identity. [para(4(b,1),721(a,1,2))].
% 281.28/281.61 804 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(6(b,1),721(a,1,2))].
% 281.28/281.61 805 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(721(a,1),28(a,1)),flip(a)].
% 281.28/281.61 809 inverse(sk_c3) = sk_c7 | multiply(sk_c5,inverse(sk_c6)) = sk_c7. [para(721(a,1),50(b,1,2)),rewrite([632(7)]),flip(b)].
% 281.28/281.61 823 inverse(sk_c2) = sk_c6 | multiply(sk_c3,multiply(sk_c7,A)) = A. [para(5(b,1),758(a,1,2,1))].
% 281.28/281.61 981 inverse(sk_c1) = sk_c7 | identity = sk_c7. [para(802(b,1),13(b,1)),merge(b)].
% 281.28/281.61 986 identity = sk_c7 | inverse(sk_c7) = sk_c1. [para(981(a,1),759(a,1,1))].
% 281.28/281.61 987 identity = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(981(a,1),721(a,1,2))].
% 281.28/281.61 997 inverse(sk_c3) = sk_c7 | multiply(sk_c7,multiply(sk_c1,sk_c7)) = sk_c5. [para(7(a,1),55(b,2)),merge(b)].
% 281.28/281.61 1054 identity = sk_c7 | identity = sk_c6 | inverse(sk_c3) = sk_c7. [para(987(b,1),9(a,1))].
% 281.28/281.61 1064 inverse(sk_c2) = sk_c6 | identity = sk_c7. [para(804(b,1),18(b,1)),merge(b)].
% 281.28/281.61 1134 identity = sk_c7 | multiply(sk_c6,sk_c2) = identity. [para(1064(a,1),2(a,1,1))].
% 281.28/281.61 1137 identity = sk_c7 | multiply(sk_c2,sk_c6) = identity. [para(1064(a,1),721(a,1,2))].
% 281.28/281.61 1139 identity = sk_c7 | multiply(A,multiply(sk_c6,sk_c2)) = A. [para(1134(b,1),28(a,2,2)),rewrite([28(7),632(9)])].
% 281.28/281.61 1152 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c6),multiply(sk_c1,sk_c7)) = identity. [para(2(a,1),57(b,2))].
% 281.28/281.61 1481 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c4) = sk_c3. [para(46(b,1),60(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 1999 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c4) = sk_c4. [para(46(b,1),62(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 2158 inverse(sk_c1) = sk_c7 | multiply(A,sk_c7) = A. [para(802(b,1),63(b,1,2)),rewrite([632(10)]),flip(c),merge(b)].
% 281.28/281.61 2345 inverse(sk_c1) = sk_c7 | sk_c4 = sk_c3. [para(1999(b,1),1481(b,1)),merge(b)].
% 281.28/281.61 2355 sk_c4 = sk_c3 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(2345(a,1),758(a,1,2,1))].
% 281.28/281.61 2578 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c6. [para(2158(b,1),613(b,1)),merge(b)].
% 281.28/281.61 2891 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c3) = identity. [para(2578(b,1),2(a,1,1))].
% 281.28/281.61 2937 inverse(sk_c4) = sk_c6 | multiply(inverse(sk_c7),multiply(sk_c2,sk_c6)) = sk_c6. [para(609(b,1),67(b,2)),merge(b)].
% 281.28/281.61 3175 inverse(sk_c2) = sk_c6 | multiply(sk_c5,sk_c3) = sk_c6. [para(47(b,1),68(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 3357 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c3) = sk_c3. [para(2891(b,1),60(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 3360 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c3) = sk_c4. [para(2891(b,1),62(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 3653 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c5),sk_c6) = sk_c3. [para(3175(b,1),49(a,1,2))].
% 281.28/281.61 3799 inverse(sk_c1) = sk_c7 | identity = sk_c4. [para(3360(b,1),45(b,1)),flip(c),merge(b)].
% 281.28/281.61 3812 identity = sk_c4 | inverse(sk_c7) = sk_c1. [para(3799(a,1),759(a,1,1))].
% 281.28/281.61 3813 identity = sk_c4 | multiply(sk_c1,sk_c7) = identity. [para(3799(a,1),721(a,1,2))].
% 281.28/281.61 4029 identity = sk_c4 | identity = sk_c6 | inverse(sk_c3) = sk_c7. [para(3813(b,1),9(a,1))].
% 281.28/281.61 4341 inverse(sk_c2) = sk_c6 | multiply(A,sk_c7) = A. [para(804(b,1),73(b,1,2)),rewrite([632(10)]),flip(c),merge(b)].
% 281.28/281.61 4485 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = identity. [para(4341(b,1),2(a,1))].
% 281.28/281.61 4486 inverse(sk_c2) = sk_c6 | sk_c5 = sk_c6. [para(4341(b,1),16(b,1)),flip(c),merge(b)].
% 281.28/281.61 4535 sk_c5 = sk_c6 | inverse(sk_c6) = sk_c2. [para(4486(a,1),759(a,1,1))].
% 281.28/281.61 4547 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c5,inverse(sk_c6)) = sk_c7. [para(721(a,1),74(b,1,2)),rewrite([632(8)]),flip(b)].
% 281.28/281.61 4728 inverse(sk_c7) = identity | inverse(sk_c6) = sk_c2. [para(4485(a,1),759(a,1,1))].
% 281.28/281.61 4891 inverse(sk_c6) = sk_c2 | multiply(sk_c7,A) = A. [para(4728(a,1),49(a,1,1)),rewrite([1(8)])].
% 281.28/281.61 4904 multiply(sk_c7,sk_c6) = sk_c5 | multiply(sk_c7,inverse(sk_c6)) = sk_c3. [para(721(a,1),76(b,1,2)),rewrite([632(8)]),flip(b)].
% 281.28/281.61 5050 inverse(sk_c6) = sk_c2 | multiply(inverse(sk_c7),A) = A. [para(4891(b,1),49(a,1,2))].
% 281.28/281.61 5243 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c6. [para(618(b,1),4341(b,1)),flip(c),merge(b)].
% 281.28/281.61 5244 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c3) = identity. [para(5243(b,1),2(a,1,1))].
% 281.28/281.61 5247 inverse(sk_c2) = sk_c6 | inverse(sk_c6) = sk_c3. [para(5243(b,1),759(a,1,1))].
% 281.28/281.61 5369 inverse(sk_c6) = sk_c3 | inverse(sk_c6) = sk_c2. [para(5247(a,1),759(a,1,1))].
% 281.28/281.61 5442 inverse(sk_c6) = sk_c2 | multiply(sk_c3,sk_c6) = identity. [para(5369(a,1),2(a,1,1))].
% 281.28/281.61 5488 inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c3) = sk_c4. [para(5244(b,1),72(b,1,2)),rewrite([632(11)]),flip(c),merge(b)].
% 281.28/281.61 5917 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(805(a,1),49(a,1,2)),rewrite([632(3)]),flip(a)].
% 281.28/281.61 6002 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(5917(a,1),49(a,1,2)),flip(a)].
% 281.28/281.61 8638 identity = sk_c7 | identity = sk_c6 | inverse(sk_c7) = sk_c3. [para(1054(c,1),759(a,1,1))].
% 281.28/281.61 8771 identity = sk_c7 | multiply(inverse(sk_c2),inverse(sk_c6)) = identity. [para(1139(b,1),2(a,1)),rewrite([6002(7)])].
% 281.28/281.61 9707 identity = sk_c4 | identity = sk_c6 | inverse(sk_c7) = sk_c3. [para(4029(c,1),759(a,1,1))].
% 281.28/281.61 10134 inverse(sk_c6) = sk_c2 | multiply(sk_c3,A) = A. [para(799(a,1),5050(b,1,1)),merge(b)].
% 281.28/281.61 10159 inverse(sk_c6) = sk_c2 | inverse(sk_c3) = identity. [para(10134(b,1),721(a,1))].
% 281.28/281.61 10185 inverse(sk_c6) = sk_c2 | identity = sk_c6. [para(10134(b,1),5442(b,1)),flip(c),merge(b)].
% 281.28/281.61 10209 identity = sk_c6 | multiply(sk_c2,sk_c6) = identity. [para(10185(a,1),2(a,1,1))].
% 281.28/281.61 10231 identity = sk_c6 | identity = sk_c5 | inverse(sk_c4) = sk_c6. [para(10209(b,1),15(a,1))].
% 281.28/281.61 11456 identity = sk_c7 | identity = sk_c6 | sk_c3 = sk_c1. [para(8638(c,1),986(b,1)),merge(c)].
% 281.28/281.61 12239 identity = sk_c4 | identity = sk_c6 | sk_c3 = sk_c1. [para(9707(c,1),3812(b,1)),merge(c)].
% 281.28/281.61 12243 identity = sk_c6 | sk_c3 = sk_c1 | inverse(sk_c4) = identity. [para(12239(a,1),635(a,1,1))].
% 281.28/281.61 13944 identity = sk_c6 | sk_c3 = sk_c1 | identity = sk_c5. [para(12243(c,1),10231(c,1)),merge(c),merge(e)].
% 281.28/281.61 13952 identity = sk_c6 | sk_c3 = sk_c1 | sk_c5 = sk_c7. [para(13944(c,1),11456(a,1)),merge(d),merge(e)].
% 281.28/281.61 13962 sk_c3 = sk_c1 | sk_c5 = sk_c7 | inverse(sk_c6) = identity. [para(13952(a,1),635(a,1,1))].
% 281.28/281.61 14560 sk_c3 = sk_c1 | sk_c5 = sk_c7 | inverse(sk_c1) = sk_c7. [para(13962(c,1),612(b,1,1)),rewrite([1(13)]),merge(d)].
% 281.28/281.61 14564 sk_c3 = sk_c1 | sk_c5 = sk_c7 | inverse(sk_c3) = sk_c7. [para(13962(c,1),809(b,1,2)),rewrite([632(13)]),merge(d)].
% 281.28/281.61 15462 sk_c3 = sk_c1 | sk_c5 = sk_c7 | inverse(sk_c7) = sk_c1. [para(14560(c,1),759(a,1,1))].
% 281.28/281.61 15482 sk_c3 = sk_c1 | sk_c5 = sk_c7 | inverse(sk_c7) = sk_c3. [para(14564(c,1),759(a,1,1))].
% 281.28/281.61 16220 sk_c3 = sk_c1 | sk_c5 = sk_c7. [para(15482(c,1),15462(c,1)),merge(c),merge(d),merge(e)].
% 281.28/281.61 16221 sk_c5 = sk_c7 | inverse(sk_c1) = sk_c7. [para(16220(a,1),3(b,1,1)),merge(c)].
% 281.28/281.61 16262 sk_c5 = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(16221(b,1),721(a,1,2))].
% 281.28/281.61 16288 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6. [para(1(a,1),796(c,1)),rewrite([635(13)]),flip(c),merge(d)].
% 281.28/281.61 16315 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(inverse(A),inverse(B)) != sk_c7 | multiply(B,multiply(A,sk_c6)) != sk_c7 | multiply(C,sk_c6) != sk_c7 | inverse(C) != sk_c6. [para(28(a,1),16288(f,1)),rewrite([6002(18)])].
% 281.28/281.61 16319 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c7 != A | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6. [para(2(a,1),16315(f,1,2)),rewrite([759(19),632(23)]),flip(f)].
% 281.28/281.61 16323 multiply(sk_c7,sk_c6) != sk_c5 | identity != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,A) != sk_c7 | inverse(A) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6. [para(759(a,1),16319(e,1,2)),flip(f)].
% 281.28/281.61 17709 inverse(sk_c1) = sk_c7 | multiply(A,sk_c3) = A. [para(3357(b,1),634(b,1,2)),merge(b)].
% 281.28/281.61 17710 inverse(sk_c1) = sk_c7 | multiply(A,sk_c4) = A. [para(3360(b,1),634(b,1,2)),merge(b)].
% 281.28/281.61 17716 inverse(sk_c1) = sk_c7 | identity = sk_c6. [para(17709(b,1),2891(b,1)),flip(c),merge(b)].
% 281.28/281.61 17736 identity = sk_c6 | inverse(sk_c7) = sk_c1. [para(17716(a,1),759(a,1,1))].
% 281.28/281.61 17737 identity = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(17716(a,1),721(a,1,2))].
% 281.28/281.61 17765 identity = sk_c6 | inverse(sk_c3) = sk_c7. [para(17737(b,1),9(a,1)),merge(b)].
% 281.28/281.61 17767 identity = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5. [para(17737(b,1),22(a,1)),merge(b)].
% 281.28/281.61 17773 identity = sk_c6 | multiply(sk_c7,sk_c3) = identity. [para(17765(b,1),2(a,1,1))].
% 281.28/281.61 17942 identity = sk_c6 | multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(17767(b,1),49(a,1,2))].
% 281.28/281.61 17953 identity = sk_c6 | multiply(inverse(sk_c3),inverse(sk_c7)) = identity. [para(17773(b,1),6002(a,1,1)),rewrite([635(5)]),flip(b)].
% 281.28/281.61 18052 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = identity. [para(17710(b,1),2(a,1))].
% 281.28/281.61 18071 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c4) = sk_c4. [para(17710(b,1),605(b,1,2)),merge(b)].
% 281.28/281.61 18073 inverse(sk_c1) = sk_c7 | multiply(sk_c4,A) = A. [para(18052(b,1),49(a,1,1)),rewrite([1(8)])].
% 281.28/281.61 18259 identity = sk_c6 | multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7). [para(17942(b,1),6002(a,1,1)),rewrite([759(10)]),flip(b)].
% 281.28/281.61 18311 inverse(sk_c1) = sk_c7 | sk_c4 = sk_c6. [para(18071(b,1),17710(b,1)),merge(b)].
% 281.28/281.61 18314 sk_c4 = sk_c6 | inverse(sk_c7) = sk_c1. [para(18311(a,1),759(a,1,1))].
% 281.28/281.61 18365 inverse(sk_c1) = sk_c7 | multiply(sk_c6,A) = A. [para(18073(b,1),605(b,1,2)),merge(b)].
% 281.28/281.61 18418 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c6),A) = A. [para(18365(b,1),49(a,1,2))].
% 281.28/281.61 18419 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = identity. [para(18365(b,1),721(a,1))].
% 281.28/281.61 18434 inverse(sk_c6) = identity | multiply(sk_c1,sk_c7) = identity. [para(18419(a,1),721(a,1,2))].
% 281.28/281.61 19271 identity = sk_c6 | multiply(sk_c5,inverse(sk_c7)) = sk_c6. [para(18259(b,1),49(a,1,2)),rewrite([759(6)])].
% 281.28/281.61 19575 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = sk_c7. [para(18418(b,1),2158(b,1)),flip(c),merge(b)].
% 281.28/281.61 19580 inverse(sk_c6) = sk_c7 | inverse(sk_c7) = sk_c1. [para(19575(a,1),759(a,1,1))].
% 281.28/281.61 22004 inverse(sk_c2) = sk_c6 | multiply(A,sk_c4) = A. [para(5488(b,1),681(b,1,2)),merge(b)].
% 281.28/281.61 22114 inverse(sk_c2) = sk_c6 | multiply(A,sk_c6) = A. [para(22004(b,1),685(b,1,2)),merge(b)].
% 281.28/281.61 22272 inverse(sk_c2) = sk_c6 | inverse(sk_c5) = sk_c3. [para(22114(b,1),3653(b,1)),merge(b)].
% 281.28/281.61 22328 inverse(sk_c5) = sk_c3 | inverse(sk_c6) = sk_c2. [para(22272(a,1),759(a,1,1))].
% 281.28/281.61 22338 inverse(sk_c6) = sk_c2 | inverse(sk_c3) = sk_c5. [para(22328(a,1),759(a,1,1))].
% 281.28/281.61 22374 inverse(sk_c6) = sk_c2 | identity = sk_c5. [para(22338(b,1),10159(b,1)),flip(c),merge(b)].
% 281.28/281.61 22376 identity = sk_c5 | multiply(sk_c2,sk_c6) = identity. [para(22374(a,1),2(a,1,1))].
% 281.28/281.61 22518 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c7) = inverse(sk_c7). [para(724(b,1),4341(b,1)),merge(b)].
% 281.28/281.61 22612 identity = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5. [para(22376(b,1),25(a,1)),merge(b)].
% 281.28/281.61 22906 identity = sk_c5 | multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(22612(b,1),49(a,1,2))].
% 281.28/281.61 23514 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c7) = sk_c6. [para(22114(b,1),823(b,1,2)),merge(b)].
% 281.28/281.61 23685 identity = sk_c5 | multiply(sk_c2,sk_c5) = sk_c7. [para(22374(a,1),22906(b,1,1)),merge(b)].
% 281.28/281.61 23689 identity = sk_c5 | multiply(inverse(sk_c2),sk_c7) = sk_c5. [para(23685(b,1),49(a,1,2))].
% 281.28/281.61 24978 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = sk_c6. [para(22518(b,1),23514(b,1)),merge(b)].
% 281.28/281.61 24981 inverse(sk_c7) = sk_c6 | inverse(sk_c6) = sk_c2. [para(24978(a,1),759(a,1,1))].
% 281.28/281.61 24982 inverse(sk_c7) = sk_c6 | multiply(sk_c2,sk_c6) = identity. [para(24978(a,1),721(a,1,2))].
% 281.28/281.61 24986 inverse(sk_c6) = sk_c2 | inverse(sk_c6) = sk_c7. [para(24981(a,1),759(a,1,1))].
% 281.28/281.61 24994 inverse(sk_c6) = sk_c7 | multiply(sk_c2,sk_c6) = identity. [para(24986(a,1),2(a,1,1))].
% 281.28/281.61 27211 sk_c5 = sk_c7 | inverse(sk_c3) = sk_c7. [para(16262(b,1),997(b,1,2)),rewrite([632(10)]),flip(c),merge(c)].
% 281.28/281.61 29566 inverse(sk_c6) = identity | inverse(sk_c4) = sk_c6. [para(18434(b,1),1152(b,1,2)),rewrite([632(12)]),merge(c)].
% 281.28/281.61 29583 inverse(sk_c6) = identity | inverse(sk_c6) = sk_c4. [para(29566(b,1),759(a,1,1))].
% 281.28/281.61 29586 inverse(sk_c6) = sk_c4 | multiply(sk_c6,A) = A. [para(29583(a,1),49(a,1,1)),rewrite([1(8)])].
% 281.28/281.61 41029 multiply(sk_c6,sk_c7) = sk_c5 | sk_c2 = sk_c7. [para(4547(b,1),86(b,2)),rewrite([721(15),632(13)]),merge(b)].
% 281.28/281.61 41030 sk_c2 = sk_c7 | multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(41029(a,1),49(a,1,2))].
% 281.28/281.61 41047 sk_c2 = sk_c7 | multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7). [para(41030(b,1),6002(a,1,1)),rewrite([759(10)]),flip(b)].
% 281.28/281.61 41138 multiply(sk_c7,sk_c6) = sk_c5 | sk_c4 = sk_c3. [para(4904(b,1),78(b,2)),rewrite([721(15),632(13)]),merge(b)].
% 281.28/281.61 41139 sk_c4 = sk_c3 | multiply(inverse(sk_c7),sk_c5) = sk_c6. [para(41138(a,1),49(a,1,2))].
% 281.28/281.61 41140 sk_c4 = sk_c3 | multiply(sk_c1,sk_c5) = sk_c6. [para(41138(a,1),2355(b,1,2)),merge(b)].
% 281.28/281.61 41141 sk_c4 = sk_c3 | multiply(inverse(sk_c1),sk_c6) = sk_c5. [para(41140(b,1),49(a,1,2))].
% 281.28/281.61 41143 sk_c4 = sk_c3 | multiply(inverse(sk_c5),sk_c7) = inverse(sk_c6). [para(41139(b,1),6002(a,1,1)),rewrite([759(10)]),flip(b)].
% 281.28/281.61 41155 sk_c4 = sk_c3 | multiply(inverse(sk_c6),sk_c1) = inverse(sk_c5). [para(41141(b,1),6002(a,1,1)),rewrite([759(10)]),flip(b)].
% 281.28/281.61 41157 sk_c4 = sk_c3 | multiply(sk_c5,inverse(sk_c6)) = sk_c7. [para(41143(b,1),49(a,1,2)),rewrite([759(6)])].
% 281.28/281.61 41175 sk_c4 = sk_c3 | multiply(sk_c6,inverse(sk_c5)) = sk_c1. [para(41155(b,1),49(a,1,2)),rewrite([759(6)])].
% 281.28/281.61 41317 inverse(sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6. [para(24982(b,1),2937(b,1,2)),rewrite([632(12)]),merge(c)].
% 281.28/281.61 41331 inverse(sk_c7) = sk_c6 | inverse(sk_c6) = sk_c4. [para(41317(b,1),759(a,1,1))].
% 281.28/281.61 41333 inverse(sk_c6) = sk_c4 | multiply(sk_c6,sk_c7) = identity. [para(41331(a,1),2(a,1,1))].
% 281.28/281.61 41419 inverse(sk_c6) = sk_c4 | identity = sk_c7. [para(41333(b,1),29586(b,1)),merge(b)].
% 281.28/281.61 41420 identity = sk_c7 | multiply(sk_c4,sk_c6) = identity. [para(41419(a,1),2(a,1,1))].
% 281.28/281.61 41443 identity = sk_c7 | multiply(sk_c1,sk_c7) = sk_c6. [para(41420(b,1),24(b,1)),merge(c)].
% 281.28/281.61 41444 identity = sk_c7 | multiply(sk_c2,sk_c6) = sk_c5. [para(41420(b,1),27(b,1)),merge(c)].
% 281.28/281.61 41453 identity = sk_c7 | identity = sk_c6. [para(41443(b,1),987(b,1)),flip(c),merge(b)].
% 281.28/281.61 41474 identity = sk_c6 | inverse(sk_c7) = identity. [para(41453(a,1),635(a,1,1))].
% 281.28/281.61 41518 identity = sk_c6 | identity = sk_c1. [para(41474(b,1),17736(b,1)),merge(b)].
% 281.28/281.61 41521 identity = sk_c6 | inverse(sk_c3) = identity. [para(41474(b,1),17953(b,1,2)),rewrite([632(10)]),merge(b)].
% 281.28/281.61 41523 identity = sk_c6 | sk_c5 = sk_c6. [para(41474(b,1),19271(b,1,2)),rewrite([632(9)]),merge(b)].
% 281.28/281.61 41593 sk_c5 = sk_c6 | inverse(sk_c6) = identity. [para(41523(a,1),635(a,1,1))].
% 281.28/281.61 41633 identity = sk_c6 | inverse(sk_c3) = sk_c1. [para(41518(b,1),41521(b,2)),merge(b)].
% 281.28/281.61 41697 sk_c5 = sk_c6 | identity = sk_c2. [para(41593(b,1),4535(b,1)),merge(b)].
% 281.28/281.61 41949 identity = sk_c6 | multiply(sk_c1,sk_c7) = sk_c6. [para(41633(b,1),624(b,1,1)),merge(c)].
% 281.28/281.61 42043 identity = sk_c7 | identity = sk_c5. [para(41444(b,1),1137(b,1)),flip(c),merge(b)].
% 281.28/281.61 42050 identity = sk_c7 | inverse(sk_c5) = identity. [para(42043(b,1),635(a,1,1))].
% 281.28/281.61 42057 identity = sk_c7 | sk_c5 = sk_c6. [para(42043(b,1),41523(a,1)),merge(c)].
% 281.28/281.61 42081 sk_c5 = sk_c6 | sk_c2 = sk_c7. [para(42057(a,1),41697(b,1)),flip(c),merge(b)].
% 281.28/281.61 42120 sk_c5 = sk_c6 | identity = sk_c5. [para(42081(b,1),23689(b,1,1,1)),rewrite([2(10)]),merge(c)].
% 281.28/281.61 42150 sk_c5 = sk_c6. [para(42120(b,1),41523(a,1)),merge(b),merge(c)].
% 281.28/281.61 42164 identity = sk_c7 | inverse(sk_c6) = identity. [back_rewrite(42050),rewrite([42150(4)])].
% 281.28/281.61 42377 sk_c4 = sk_c3 | identity = sk_c1. [back_rewrite(41175),rewrite([42150(5),721(7)])].
% 281.28/281.61 42395 sk_c4 = sk_c3 | identity = sk_c7. [back_rewrite(41157),rewrite([42150(4),721(7)])].
% 281.28/281.61 42503 sk_c2 = sk_c7 | inverse(sk_c7) = identity. [back_rewrite(41047),rewrite([42150(4),2(7)]),flip(b)].
% 281.28/281.61 44858 sk_c7 = sk_c6 | inverse(sk_c3) = sk_c7. [back_rewrite(27211),rewrite([42150(1)]),flip(a)].
% 281.28/281.61 46620 multiply(sk_c7,sk_c6) != sk_c6 | identity != sk_c6 | multiply(sk_c6,sk_c7) != sk_c6 | multiply(sk_c6,A) != sk_c7 | inverse(A) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6. [back_rewrite(16323),rewrite([42150(4),42150(9),42150(15)]),xx(c)].
% 281.28/281.61 50716 sk_c4 = sk_c3 | sk_c1 = sk_c7. [para(42395(b,1),42377(b,1)),flip(c),merge(b)].
% 281.28/281.61 50936 identity = sk_c7 | inverse(sk_c2) = identity. [para(42164(b,1),8771(b,1,2)),rewrite([632(10)]),merge(b)].
% 281.28/281.61 50943 identity = sk_c7 | identity = sk_c4. [para(42164(b,1),41419(a,1)),merge(c)].
% 281.28/281.61 51010 sk_c2 = sk_c7 | inverse(sk_c6) = sk_c7 | identity = sk_c1. [para(42503(b,1),19580(b,1))].
% 281.28/281.61 51047 identity = sk_c7 | inverse(sk_c2) = sk_c4. [para(50943(b,1),50936(b,2)),merge(b)].
% 281.28/281.61 51122 identity = sk_c7 | sk_c4 = sk_c6. [para(51047(b,1),1064(a,1)),merge(c)].
% 281.28/281.61 51134 sk_c4 = sk_c6 | inverse(sk_c7) = identity. [para(51122(a,1),635(a,1,1))].
% 281.28/281.61 51222 sk_c4 = sk_c6 | identity = sk_c1. [para(51134(b,1),18314(b,1)),merge(b)].
% 281.28/281.61 51271 sk_c4 = sk_c6 | sk_c1 = sk_c7. [para(51222(b,1),51122(a,1)),merge(c)].
% 281.28/281.61 51272 sk_c1 = sk_c7 | sk_c3 = sk_c6. [para(51271(a,1),50716(a,1)),flip(b),merge(c)].
% 281.28/281.61 51279 sk_c1 = sk_c7 | sk_c7 = sk_c6 | inverse(sk_c6) = sk_c7. [para(51272(b,1),44858(b,1,1))].
% 281.28/281.61 51512 identity = sk_c6. [para(41949(b,1),17737(b,1)),flip(c),merge(b),merge(c)].
% 281.28/281.61 51602 sk_c2 = sk_c7 | inverse(sk_c6) = sk_c7 | sk_c1 = sk_c6. [back_rewrite(51010),rewrite([51512(8)]),flip(c)].
% 281.28/281.61 51938 multiply(sk_c7,sk_c6) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c6 | multiply(sk_c6,A) != sk_c7 | inverse(A) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6. [back_rewrite(46620),rewrite([51512(6)]),xx(b)].
% 281.28/281.61 52691 inverse(sk_c6) = sk_c7 | multiply(sk_c2,sk_c6) = sk_c6. [back_rewrite(24994),rewrite([51512(8)])].
% 281.28/281.61 53135 inverse(sk_c6) = sk_c6. [back_rewrite(635),rewrite([51512(1),51512(3)])].
% 281.28/281.61 53136 multiply(A,sk_c6) = A. [back_rewrite(632),rewrite([51512(1)])].
% 281.28/281.61 53138 multiply(sk_c6,A) = A. [back_rewrite(1),rewrite([51512(1)])].
% 281.28/281.61 53145 sk_c7 != sk_c6. [factor(51938,c,e),rewrite([53136(3),53138(6),53136(9),53135(11),53135(14)]),flip(c),flip(d),xx(e),merge(b),merge(c),merge(d)].
% 281.28/281.61 53168 sk_c2 = sk_c6. [back_rewrite(52691),rewrite([53135(2),53136(6)]),flip(a),unit_del(a,53145)].
% 281.28/281.61 53172 sk_c1 = sk_c6. [back_rewrite(51602),rewrite([53168(1),53135(5)]),flip(a),flip(b),merge(b),unit_del(a,53145)].
% 281.28/281.61 53173 $F. [back_rewrite(51279),rewrite([53172(1),53135(8)]),flip(a),flip(c),merge(b),merge(c),unit_del(a,53145)].
% 281.28/281.61
% 281.28/281.61 % SZS output end Refutation
% 281.28/281.61 ============================== end of proof ==========================
% 281.28/281.61
% 281.28/281.61 ============================== STATISTICS ============================
% 281.28/281.61
% 281.28/281.61 Given=10122. Generated=13089704. Kept=53172. proofs=1.
% 281.28/281.61 Usable=1237. Sos=3920. Demods=19. Limbo=38, Disabled=48006. Hints=0.
% 281.28/281.61 Megabytes=45.37.
% 281.28/281.61 User_CPU=273.32, System_CPU=7.12, Wall_clock=280.
% 281.28/281.61
% 281.28/281.61 ============================== end of statistics =====================
% 281.28/281.61
% 281.28/281.61 ============================== end of search =========================
% 281.28/281.61
% 281.28/281.61 THEOREM PROVED
% 281.28/281.61 % SZS status Unsatisfiable
% 281.28/281.61
% 281.28/281.61 Exiting with 1 proof.
% 281.28/281.61
% 281.28/281.61 Process 13785 exit (max_proofs) Mon Jun 13 16:45:58 2022
% 281.28/281.61 Prover9 interrupted
%------------------------------------------------------------------------------