TSTP Solution File: GRP381-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP381-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 11:18:51 EDT 2022
% Result : Unsatisfiable 70.40s 70.73s
% Output : Refutation 70.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP381-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 13 11:59:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 70.40/70.73 ============================== Prover9 ===============================
% 70.40/70.73 Prover9 (32) version 2009-11A, November 2009.
% 70.40/70.73 Process 27161 was started by sandbox on n010.cluster.edu,
% 70.40/70.73 Mon Jun 13 11:59:10 2022
% 70.40/70.73 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26937_n010.cluster.edu".
% 70.40/70.73 ============================== end of head ===========================
% 70.40/70.73
% 70.40/70.73 ============================== INPUT =================================
% 70.40/70.73
% 70.40/70.73 % Reading from file /tmp/Prover9_26937_n010.cluster.edu
% 70.40/70.73
% 70.40/70.73 set(prolog_style_variables).
% 70.40/70.73 set(auto2).
% 70.40/70.73 % set(auto2) -> set(auto).
% 70.40/70.73 % set(auto) -> set(auto_inference).
% 70.40/70.73 % set(auto) -> set(auto_setup).
% 70.40/70.73 % set(auto_setup) -> set(predicate_elim).
% 70.40/70.73 % set(auto_setup) -> assign(eq_defs, unfold).
% 70.40/70.73 % set(auto) -> set(auto_limits).
% 70.40/70.73 % set(auto_limits) -> assign(max_weight, "100.000").
% 70.40/70.73 % set(auto_limits) -> assign(sos_limit, 20000).
% 70.40/70.73 % set(auto) -> set(auto_denials).
% 70.40/70.73 % set(auto) -> set(auto_process).
% 70.40/70.73 % set(auto2) -> assign(new_constants, 1).
% 70.40/70.73 % set(auto2) -> assign(fold_denial_max, 3).
% 70.40/70.73 % set(auto2) -> assign(max_weight, "200.000").
% 70.40/70.73 % set(auto2) -> assign(max_hours, 1).
% 70.40/70.73 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 70.40/70.73 % set(auto2) -> assign(max_seconds, 0).
% 70.40/70.73 % set(auto2) -> assign(max_minutes, 5).
% 70.40/70.73 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 70.40/70.73 % set(auto2) -> set(sort_initial_sos).
% 70.40/70.73 % set(auto2) -> assign(sos_limit, -1).
% 70.40/70.73 % set(auto2) -> assign(lrs_ticks, 3000).
% 70.40/70.73 % set(auto2) -> assign(max_megs, 400).
% 70.40/70.73 % set(auto2) -> assign(stats, some).
% 70.40/70.73 % set(auto2) -> clear(echo_input).
% 70.40/70.73 % set(auto2) -> set(quiet).
% 70.40/70.73 % set(auto2) -> clear(print_initial_clauses).
% 70.40/70.73 % set(auto2) -> clear(print_given).
% 70.40/70.73 assign(lrs_ticks,-1).
% 70.40/70.73 assign(sos_limit,10000).
% 70.40/70.73 assign(order,kbo).
% 70.40/70.73 set(lex_order_vars).
% 70.40/70.73 clear(print_given).
% 70.40/70.73
% 70.40/70.73 % formulas(sos). % not echoed (34 formulas)
% 70.40/70.73
% 70.40/70.73 ============================== end of input ==========================
% 70.40/70.73
% 70.40/70.73 % From the command line: assign(max_seconds, 300).
% 70.40/70.73
% 70.40/70.73 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 70.40/70.73
% 70.40/70.73 % Formulas that are not ordinary clauses:
% 70.40/70.73
% 70.40/70.73 ============================== end of process non-clausal formulas ===
% 70.40/70.73
% 70.40/70.73 ============================== PROCESS INITIAL CLAUSES ===============
% 70.40/70.73
% 70.40/70.73 ============================== PREDICATE ELIMINATION =================
% 70.40/70.73
% 70.40/70.73 ============================== end predicate elimination =============
% 70.40/70.73
% 70.40/70.73 Auto_denials: (non-Horn, no changes).
% 70.40/70.73
% 70.40/70.73 Term ordering decisions:
% 70.40/70.73
% 70.40/70.73 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 70.40/70.73 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.
% 70.40/70.73
% 70.40/70.73 ============================== end of process initial clauses ========
% 70.40/70.73
% 70.40/70.73 ============================== CLAUSES FOR SEARCH ====================
% 70.40/70.73
% 70.40/70.73 ============================== end of clauses for search =============
% 70.40/70.73
% 70.40/70.73 ============================== SEARCH ================================
% 70.40/70.73
% 70.40/70.73 % Starting search at 0.02 seconds.
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=51.000, iters=3666
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=47.000, iters=3574
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=46.000, iters=3542
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=44.000, iters=3350
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=43.000, iters=3553
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=42.000, iters=3485
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=41.000, iters=3335
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=40.000, iters=3387
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=39.000, iters=3349
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=37.000, iters=3403
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=36.000, iters=3360
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=35.000, iters=3503
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=34.000, iters=3402
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=33.000, iters=3350
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=32.000, iters=3620
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=29.000, iters=3399
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=17.000, iters=3376
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=16.000, iters=3340
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=15.000, iters=3333
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=14.000, iters=3333
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=13.000, iters=3336
% 70.40/70.73
% 70.40/70.73 Low Water (displace): id=3730, wt=52.000
% 70.40/70.73
% 70.40/70.73 Low Water (displace): id=3097, wt=51.000
% 70.40/70.73
% 70.40/70.73 Low Water (displace): id=18015, wt=11.000
% 70.40/70.73
% 70.40/70.73 Low Water (keep): wt=12.000, iters=3333
% 70.40/70.73
% 70.40/70.73 Low Water (displace): id=25595, wt=10.000
% 70.40/70.73
% 70.40/70.73 ============================== PROOF =================================
% 70.40/70.73 % SZS status Unsatisfiable
% 70.40/70.73 % SZS output start Refutation
% 70.40/70.73
% 70.40/70.73 % Proof 1 at 68.04 (+ 1.74) seconds.
% 70.40/70.73 % Length of proof is 232.
% 70.40/70.73 % Level of proof is 31.
% 70.40/70.73 % Maximum clause weight is 50.000.
% 70.40/70.73 % Given clauses 5984.
% 70.40/70.73
% 70.40/70.73 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 70.40/70.73 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 70.40/70.73 3 inverse(sk_c7) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 70.40/70.73 4 inverse(sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 70.40/70.73 5 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 70.40/70.73 6 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 70.40/70.73 7 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 70.40/70.73 8 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 70.40/70.73 9 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 70.40/70.73 10 inverse(sk_c7) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 70.40/70.73 11 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 70.40/70.73 12 multiply(sk_c6,sk_c5) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 70.40/70.73 13 multiply(sk_c6,sk_c5) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 70.40/70.73 14 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 70.40/70.73 15 multiply(sk_c1,sk_c7) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 70.40/70.73 16 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 70.40/70.73 19 multiply(sk_c2,sk_c6) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 70.40/70.73 20 multiply(sk_c2,sk_c6) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 70.40/70.73 21 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 70.40/70.73 22 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 70.40/70.73 24 multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 70.40/70.73 26 multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c4,sk_c5) = sk_c6 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 70.40/70.73 27 multiply(sk_c1,sk_c7) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 70.40/70.73 30 multiply(sk_c2,sk_c6) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 70.40/70.73 31 multiply(sk_c2,sk_c6) = sk_c7 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 70.40/70.73 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 70.40/70.73 34 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(B,sk_c6) != sk_c7 | 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].
% 70.40/70.73 54 inverse(sk_c7) = sk_c6 | multiply(sk_c7,sk_c3) = identity. [para(3(b,1),2(a,1,1))].
% 70.40/70.73 55 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 70.40/70.73 56 inverse(sk_c3) = sk_c7 | multiply(sk_c7,sk_c1) = identity. [para(5(a,1),2(a,1,1))].
% 70.40/70.73 57 inverse(sk_c4) = sk_c6 | multiply(sk_c7,sk_c1) = identity. [para(6(a,1),2(a,1,1))].
% 70.40/70.73 60 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 70.40/70.73 61 inverse(sk_c7) = sk_c6 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(9(b,1),33(a,1,1)),flip(b)].
% 70.40/70.73 62 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c6,sk_c7)) = multiply(A,sk_c5). [para(9(b,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 63 inverse(sk_c7) = sk_c6 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(10(b,1),33(a,1,1)),flip(b)].
% 70.40/70.73 65 inverse(sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(11(b,1),33(a,1,1)),flip(b)].
% 70.40/70.73 67 inverse(sk_c3) = sk_c7 | multiply(sk_c6,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(12(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 69 inverse(sk_c4) = sk_c6 | multiply(sk_c6,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(13(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 71 inverse(sk_c3) = sk_c7 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(14(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 72 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(14(a,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 73 inverse(sk_c4) = sk_c6 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(15(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 74 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c6). [para(15(a,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 82 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c2,sk_c6)) = multiply(A,sk_c7). [para(19(a,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 84 inverse(sk_c4) = sk_c6 | multiply(A,multiply(sk_c2,sk_c6)) = multiply(A,sk_c7). [para(20(a,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 92 multiply(sk_c6,sk_c7) = sk_c5 | multiply(A,multiply(sk_c6,sk_c5)) = multiply(A,sk_c7). [para(24(a,1),33(a,2,2)),rewrite([33(9)])].
% 70.40/70.73 97 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(27(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 103 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c2,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(30(a,1),33(a,1,1)),flip(b)].
% 70.40/70.73 134 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | inverse(C) != sk_c6 | multiply(C,sk_c5) != sk_c6. [para(2(a,1),34(e,1))].
% 70.40/70.73 239 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [factor(134,a,j)].
% 70.40/70.73 394 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [factor(239,d,h)].
% 70.40/70.73 559 inverse(sk_c7) = sk_c6 | multiply(sk_c7,multiply(sk_c3,A)) = A. [para(54(b,1),33(a,1,1)),rewrite([1(6)]),flip(b)].
% 70.40/70.73 560 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c7,sk_c3)) = multiply(A,identity). [para(54(b,1),33(a,2,2)),rewrite([33(8)])].
% 70.40/70.73 574 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),60(a,1,2))].
% 70.40/70.73 575 inverse(sk_c7) = sk_c6 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(4(b,1),60(a,1,1))].
% 70.40/70.73 582 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c4),sk_c6) = sk_c5. [para(11(b,1),60(a,1,2))].
% 70.40/70.73 598 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c1),sk_c6) = sk_c7. [para(27(a,1),60(a,1,2))].
% 70.40/70.73 605 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c7),identity) = sk_c3. [para(54(b,1),60(a,1,2))].
% 70.40/70.73 606 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(60(a,1),60(a,1,2))].
% 70.40/70.73 607 multiply(A,identity) = A. [back_rewrite(574),rewrite([606(4)])].
% 70.40/70.73 608 inverse(sk_c7) = sk_c6 | inverse(sk_c7) = sk_c3. [back_rewrite(605),rewrite([607(8)])].
% 70.40/70.73 609 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c7,sk_c3)) = A. [back_rewrite(560),rewrite([607(10)])].
% 70.40/70.73 610 inverse(identity) = identity. [para(607(a,1),2(a,1))].
% 70.40/70.73 646 inverse(sk_c7) = sk_c6 | multiply(sk_c3,multiply(sk_c7,A)) = A. [para(608(b,1),60(a,1,1))].
% 70.40/70.73 654 inverse(sk_c3) = sk_c7 | inverse(sk_c7) = sk_c1. [para(56(b,1),60(a,1,2)),rewrite([607(8)])].
% 70.40/70.73 658 inverse(sk_c4) = sk_c6 | inverse(sk_c7) = sk_c1. [para(57(b,1),60(a,1,2)),rewrite([607(8)])].
% 70.40/70.73 687 inverse(sk_c7) = sk_c6 | multiply(sk_c5,sk_c3) = sk_c6. [para(54(b,1),61(b,1,2)),rewrite([607(11)]),flip(c),merge(b)].
% 70.40/70.73 688 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c6),multiply(sk_c5,A)) = multiply(sk_c7,A). [para(61(b,1),60(a,1,2))].
% 70.40/70.73 694 multiply(A,inverse(A)) = identity. [para(606(a,1),2(a,1))].
% 70.40/70.73 741 multiply(A,multiply(inverse(A),B)) = B. [para(606(a,1),60(a,1))].
% 70.40/70.73 742 inverse(inverse(A)) = A. [para(606(a,1),607(a,1)),rewrite([607(2)]),flip(a)].
% 70.40/70.73 762 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [back_rewrite(394),rewrite([742(22)]),xx(f)].
% 70.40/70.73 783 inverse(sk_c7) = sk_c1 | inverse(sk_c7) = sk_c3. [para(654(a,1),742(a,1,1))].
% 70.40/70.73 784 inverse(sk_c7) = sk_c1 | inverse(sk_c6) = sk_c4. [para(658(a,1),742(a,1,1))].
% 70.40/70.73 787 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(4(b,1),694(a,1,2))].
% 70.40/70.73 788 inverse(sk_c3) = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(5(a,1),694(a,1,2))].
% 70.40/70.73 789 inverse(sk_c4) = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(6(a,1),694(a,1,2))].
% 70.40/70.73 790 inverse(sk_c3) = sk_c7 | multiply(sk_c2,sk_c6) = identity. [para(7(a,1),694(a,1,2))].
% 70.40/70.73 791 inverse(sk_c4) = sk_c6 | multiply(sk_c2,sk_c6) = identity. [para(8(a,1),694(a,1,2))].
% 70.40/70.73 792 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(694(a,1),33(a,1)),flip(a)].
% 70.40/70.73 800 inverse(sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(4(b,1),741(a,1,2,1))].
% 70.40/70.73 801 inverse(sk_c3) = sk_c7 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(5(a,1),741(a,1,2,1))].
% 70.40/70.73 802 inverse(sk_c4) = sk_c6 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(6(a,1),741(a,1,2,1))].
% 70.40/70.73 815 inverse(sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c6,sk_c7)) = sk_c6. [para(11(b,1),62(b,2)),merge(b)].
% 70.40/70.73 848 inverse(sk_c7) = sk_c6 | multiply(sk_c3,multiply(sk_c6,sk_c3)) = identity. [para(54(b,1),63(b,2)),merge(b)].
% 70.40/70.73 852 inverse(sk_c7) = sk_c6 | multiply(sk_c7,inverse(sk_c6)) = sk_c3. [para(694(a,1),63(b,1,2)),rewrite([607(7)]),flip(b)].
% 70.40/70.73 926 inverse(sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c5,sk_c7)) = sk_c5. [para(9(b,1),65(b,2)),merge(b)].
% 70.40/70.73 929 inverse(sk_c7) = sk_c6 | multiply(sk_c4,multiply(sk_c5,sk_c4)) = identity. [para(55(b,1),65(b,2)),merge(b)].
% 70.40/70.73 1003 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c6) = multiply(sk_c6,sk_c3). [para(687(b,1),65(b,1,2)),merge(b)].
% 70.40/70.73 1007 inverse(sk_c3) = sk_c7 | multiply(sk_c7,inverse(sk_c5)) = sk_c6. [para(694(a,1),67(b,1,2)),rewrite([607(7)]),flip(b)].
% 70.40/70.73 1018 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,multiply(B,sk_c7)) != sk_c6 | inverse(multiply(A,B)) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(B,sk_c6)) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [para(33(a,1),762(c,1)),rewrite([33(29)])].
% 70.40/70.73 1066 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c4,sk_c6)) = A. [para(787(b,1),33(a,2,2)),rewrite([33(8),607(10)])].
% 70.40/70.73 1068 inverse(sk_c3) = sk_c7 | identity = sk_c6. [para(788(b,1),14(a,1)),merge(c)].
% 70.40/70.73 1074 identity = sk_c6 | multiply(sk_c3,sk_c7) = identity. [para(1068(a,1),694(a,1,2))].
% 70.40/70.73 1126 inverse(sk_c4) = sk_c6 | identity = sk_c6. [para(789(b,1),15(a,1)),merge(c)].
% 70.40/70.73 1131 identity = sk_c6 | inverse(sk_c6) = sk_c4. [para(1126(a,1),742(a,1,1))].
% 70.40/70.73 1137 inverse(sk_c4) = sk_c6 | multiply(sk_c7,inverse(sk_c5)) = sk_c6. [para(694(a,1),69(b,1,2)),rewrite([607(7)]),flip(b)].
% 70.40/70.73 1337 inverse(sk_c4) = sk_c6 | identity = sk_c7. [para(791(b,1),20(a,1)),merge(c)].
% 70.40/70.73 1343 identity = sk_c7 | inverse(sk_c6) = sk_c4. [para(1337(a,1),742(a,1,1))].
% 70.40/70.73 1355 inverse(sk_c3) = sk_c7 | multiply(A,sk_c6) = A. [para(788(b,1),72(b,1,2)),rewrite([607(10)]),flip(c),merge(b)].
% 70.40/70.73 1580 inverse(sk_c4) = sk_c6 | multiply(A,sk_c6) = A. [para(789(b,1),74(b,1,2)),rewrite([607(10)]),flip(c),merge(b)].
% 70.40/70.73 3159 inverse(sk_c3) = sk_c7 | multiply(A,sk_c7) = A. [para(790(b,1),82(b,1,2)),rewrite([607(10)]),flip(c),merge(b)].
% 70.40/70.73 3726 inverse(sk_c3) = sk_c7 | inverse(sk_c7) = identity. [para(3159(b,1),2(a,1))].
% 70.40/70.73 3814 inverse(sk_c4) = sk_c6 | multiply(A,sk_c7) = A. [para(791(b,1),84(b,1,2)),rewrite([607(10)]),flip(c),merge(b)].
% 70.40/70.73 3949 inverse(sk_c7) = identity | inverse(sk_c7) = sk_c3. [para(3726(a,1),742(a,1,1))].
% 70.40/70.73 4145 inverse(sk_c7) = sk_c3 | multiply(sk_c7,A) = A. [para(3949(a,1),60(a,1,1)),rewrite([1(8)])].
% 70.40/70.73 4302 inverse(sk_c4) = sk_c6 | inverse(sk_c7) = identity. [para(3814(b,1),2(a,1))].
% 70.40/70.73 4500 inverse(sk_c7) = identity | inverse(sk_c6) = sk_c4. [para(4302(a,1),742(a,1,1))].
% 70.40/70.73 4547 inverse(sk_c6) = sk_c4 | multiply(sk_c7,A) = A. [para(4500(a,1),60(a,1,1)),rewrite([1(8)])].
% 70.40/70.73 4659 inverse(sk_c7) = sk_c3 | multiply(inverse(sk_c7),A) = A. [para(4145(b,1),60(a,1,2))].
% 70.40/70.73 4908 inverse(sk_c6) = sk_c4 | multiply(inverse(sk_c7),A) = A. [para(4547(b,1),60(a,1,2))].
% 70.40/70.73 5054 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c6) = sk_c5. [para(4(b,1),582(b,1,1)),merge(b)].
% 70.40/70.73 5058 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c6),sk_c5) = sk_c6. [para(5054(b,1),60(a,1,2))].
% 70.40/70.73 5823 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(792(a,1),60(a,1,2)),rewrite([607(3)]),flip(a)].
% 70.40/70.73 5966 multiply(sk_c3,sk_c6) = sk_c7 | multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c2). [para(31(a,1),5823(a,1,2,1))].
% 70.40/70.73 5971 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(5823(a,1),60(a,1,2)),flip(a)].
% 70.40/70.73 7071 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,multiply(B,sk_c7)) != sk_c6 | multiply(inverse(B),inverse(A)) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(B,sk_c6)) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [back_rewrite(1018),rewrite([5971(16)])].
% 70.40/70.73 7201 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c1,multiply(sk_c7,multiply(sk_c6,sk_c5))) = multiply(sk_c6,sk_c7). [para(92(b,1),97(b,2)),merge(b)].
% 70.40/70.73 9762 inverse(sk_c7) = sk_c3 | multiply(sk_c1,A) = A. [para(783(a,1),4659(b,1,1)),merge(b)].
% 70.40/70.73 9804 inverse(sk_c7) = sk_c3 | inverse(sk_c1) = identity. [para(9762(b,1),694(a,1))].
% 70.40/70.73 9862 inverse(sk_c6) = sk_c4 | multiply(sk_c1,A) = A. [para(784(a,1),4908(b,1,1)),merge(b)].
% 70.40/70.73 9879 inverse(sk_c6) = sk_c4 | inverse(sk_c1) = identity. [para(9862(b,1),694(a,1))].
% 70.40/70.73 9911 inverse(sk_c7) = sk_c6 | sk_c7 = sk_c6. [para(5058(b,1),62(b,2)),rewrite([60(14)]),merge(b)].
% 70.40/70.73 9914 sk_c7 = sk_c6 | inverse(sk_c6) = sk_c7. [para(9911(a,1),742(a,1,1))].
% 70.40/70.73 9934 sk_c7 = sk_c6 | identity = sk_c6 | sk_c4 = sk_c7. [para(9914(b,1),1131(b,1)),flip(c)].
% 70.40/70.73 9935 sk_c7 = sk_c6 | identity = sk_c7 | sk_c4 = sk_c7. [para(9914(b,1),1343(b,1)),flip(c)].
% 70.40/70.73 10150 sk_c7 = sk_c6 | sk_c4 = sk_c7. [para(9935(b,1),9934(b,1)),merge(c),merge(d),merge(e)].
% 70.40/70.73 10157 sk_c7 = sk_c6 | multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c7,sk_c5) = sk_c6. [para(10150(b,1),26(b,1,1))].
% 70.40/70.73 10190 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c6),inverse(sk_c3)) = inverse(sk_c7). [para(22(b,1),5971(a,1,1)),flip(b)].
% 70.40/70.73 12194 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | sk_c6 != A | multiply(sk_c7,inverse(A)) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(inverse(sk_c7),sk_c6)) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [para(2(a,1),7071(c,1,2)),rewrite([607(11),742(14)]),flip(c)].
% 70.40/70.73 12196 inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(A,multiply(B,multiply(inverse(sk_c7),sk_c6))) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [para(33(a,1),12194(g,1)),rewrite([5971(15)]),flip(c)].
% 70.40/70.73 12876 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c6),sk_c1) = inverse(sk_c7). [para(598(b,1),5971(a,1,1)),rewrite([742(12)]),flip(b)].
% 70.40/70.73 12911 inverse(sk_c7) = sk_c6 | multiply(sk_c3,sk_c3) = inverse(sk_c6). [para(852(b,1),646(b,1,2)),merge(b)].
% 70.40/70.73 13041 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c7. [para(9(b,1),800(b,1,2)),merge(b)].
% 70.40/70.73 13051 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c4),sk_c7) = sk_c5. [para(13041(b,1),60(a,1,2))].
% 70.40/70.73 13071 inverse(sk_c3) = sk_c7 | multiply(sk_c6,A) = A. [para(801(b,1),71(b,1)),flip(c),merge(b)].
% 70.40/70.73 13075 inverse(sk_c3) = sk_c7 | multiply(sk_c1,sk_c6) = inverse(sk_c5). [para(1007(b,1),801(b,1,2)),merge(b)].
% 70.40/70.73 13080 inverse(sk_c3) = sk_c7 | sk_c5 = sk_c7. [para(13071(b,1),12(a,1)),merge(c)].
% 70.40/70.73 13104 sk_c5 = sk_c7 | multiply(sk_c7,sk_c3) = identity. [para(13080(a,1),2(a,1,1))].
% 70.40/70.73 13159 sk_c5 = sk_c7 | multiply(A,multiply(sk_c7,sk_c3)) = A. [para(13104(b,1),33(a,2,2)),rewrite([33(7),607(9)])].
% 70.40/70.73 13521 inverse(sk_c3) = sk_c7 | inverse(sk_c5) = sk_c1. [para(13075(b,1),1355(b,1)),merge(b)].
% 70.40/70.73 13525 inverse(sk_c5) = sk_c1 | inverse(sk_c7) = sk_c3. [para(13521(a,1),742(a,1,1))].
% 70.40/70.73 13535 inverse(sk_c7) = sk_c3 | inverse(sk_c1) = sk_c5. [para(13525(a,1),742(a,1,1))].
% 70.40/70.73 13543 inverse(sk_c7) = sk_c3 | identity = sk_c5. [para(13535(b,1),9804(b,1)),flip(c),merge(b)].
% 70.40/70.73 13558 identity = sk_c5 | multiply(sk_c3,sk_c7) = identity. [para(13543(a,1),2(a,1,1))].
% 70.40/70.73 13590 identity = sk_c5 | multiply(inverse(sk_c7),inverse(sk_c3)) = identity. [para(13558(b,1),5971(a,1,1)),rewrite([610(5)]),flip(b)].
% 70.40/70.73 16483 inverse(sk_c4) = sk_c6 | multiply(sk_c6,A) = A. [para(802(b,1),73(b,1)),flip(c),merge(b)].
% 70.40/70.73 16487 inverse(sk_c4) = sk_c6 | multiply(sk_c1,sk_c6) = inverse(sk_c5). [para(1137(b,1),802(b,1,2)),merge(b)].
% 70.40/70.73 16505 inverse(sk_c4) = sk_c6 | sk_c5 = sk_c7. [para(16483(b,1),13(a,1)),merge(c)].
% 70.40/70.73 16517 sk_c5 = sk_c7 | multiply(sk_c6,sk_c4) = identity. [para(16505(a,1),2(a,1,1))].
% 70.40/70.73 16518 sk_c5 = sk_c7 | multiply(sk_c6,multiply(sk_c4,A)) = A. [para(16505(a,1),60(a,1,1))].
% 70.40/70.73 16783 inverse(sk_c4) = sk_c6 | inverse(sk_c5) = sk_c1. [para(16487(b,1),1580(b,1)),merge(b)].
% 70.40/70.73 16790 inverse(sk_c5) = sk_c1 | inverse(sk_c6) = sk_c4. [para(16783(a,1),742(a,1,1))].
% 70.40/70.73 16797 inverse(sk_c6) = sk_c4 | inverse(sk_c1) = sk_c5. [para(16790(a,1),742(a,1,1))].
% 70.40/70.73 16801 inverse(sk_c6) = sk_c4 | identity = sk_c5. [para(16797(b,1),9879(b,1)),flip(c),merge(b)].
% 70.40/70.73 16812 identity = sk_c5 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(16801(a,1),60(a,1,1))].
% 70.40/70.73 16814 identity = sk_c5 | multiply(sk_c6,sk_c4) = identity. [para(16801(a,1),694(a,1,2))].
% 70.40/70.73 16832 identity = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,sk_c4) = sk_c2. [para(16814(b,1),103(b,1,2)),rewrite([607(11)]),flip(c)].
% 70.40/70.73 17010 sk_c5 = sk_c7 | multiply(sk_c7,sk_c3) = multiply(sk_c6,sk_c4). [para(13159(b,1),16518(b,1,2)),flip(c),merge(b)].
% 70.40/70.73 17449 sk_c5 = sk_c7 | multiply(inverse(sk_c7),multiply(sk_c6,sk_c4)) = sk_c3. [para(17010(b,1),60(a,1,2))].
% 70.40/70.73 19670 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c3) = inverse(sk_c3). [para(848(b,1),60(a,1,2)),rewrite([607(8)]),flip(b)].
% 70.40/70.73 19677 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c3) = sk_c7. [para(848(b,1),559(b,1,2)),rewrite([607(11)]),flip(c),merge(b)].
% 70.40/70.73 19689 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c7) = sk_c3. [para(19677(b,1),800(b,1,2)),merge(b)].
% 70.40/70.73 19691 inverse(sk_c7) = sk_c6 | multiply(inverse(sk_c4),sk_c3) = sk_c7. [para(19689(b,1),60(a,1,2))].
% 70.40/70.73 19741 inverse(sk_c7) = sk_c6 | multiply(sk_c5,sk_c4) = sk_c6. [para(929(b,1),575(b,1,2)),rewrite([607(11)]),flip(c),merge(b)].
% 70.40/70.73 19759 inverse(sk_c7) = sk_c6 | multiply(sk_c7,sk_c4) = identity. [para(19741(b,1),688(b,1,2)),rewrite([2(12)]),flip(c),merge(b)].
% 70.40/70.73 19762 inverse(sk_c7) = sk_c6 | inverse(sk_c7) = sk_c4. [para(19759(b,1),60(a,1,2)),rewrite([607(8)])].
% 70.40/70.73 19996 inverse(sk_c7) = sk_c6 | inverse(sk_c4) = sk_c7. [para(19762(b,1),742(a,1,1))].
% 70.40/70.73 20052 inverse(sk_c7) = sk_c6 | multiply(sk_c7,sk_c3) = sk_c7. [para(19996(b,1),19691(b,1,1)),merge(b)].
% 70.40/70.73 22996 inverse(sk_c7) = sk_c6 | multiply(A,sk_c7) = A. [para(20052(b,1),609(b,1,2)),merge(b)].
% 70.40/70.73 23806 inverse(sk_c7) = sk_c6 | inverse(sk_c4) = sk_c5. [para(22996(b,1),13051(b,1)),merge(b)].
% 70.40/70.73 23824 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c6. [para(22996(b,1),815(b,1,2)),merge(b)].
% 70.40/70.73 23829 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c5. [para(22996(b,1),926(b,1,2)),merge(b)].
% 70.40/70.73 23946 inverse(sk_c7) = sk_c6 | multiply(sk_c4,sk_c5) = identity. [para(23806(b,1),694(a,1,2))].
% 70.40/70.73 25121 inverse(sk_c7) = sk_c6 | multiply(A,sk_c6) = A. [para(23824(b,1),1066(b,1,2)),merge(b)].
% 70.40/70.73 25183 inverse(sk_c7) = sk_c6 | identity = sk_c5. [para(23946(b,1),23829(b,1)),merge(b)].
% 70.40/70.73 25184 identity = sk_c5 | multiply(sk_c6,sk_c7) = identity. [para(25183(a,1),2(a,1,1))].
% 70.40/70.73 25189 identity = sk_c5 | multiply(sk_c6,inverse(sk_c3)) = identity. [para(25183(a,1),13590(b,1,1)),merge(b)].
% 70.40/70.73 25208 identity = sk_c5 | inverse(sk_c1) = sk_c7. [para(25184(b,1),16(b,1)),merge(c)].
% 70.40/70.73 25209 identity = sk_c5 | inverse(sk_c2) = sk_c6. [para(25184(b,1),21(b,1)),merge(c)].
% 70.40/70.73 25212 identity = sk_c5 | multiply(sk_c7,sk_c1) = identity. [para(25208(b,1),2(a,1,1))].
% 70.40/70.73 25214 identity = sk_c5 | inverse(sk_c7) = sk_c1. [para(25208(b,1),742(a,1,1))].
% 70.40/70.73 25217 identity = sk_c5 | multiply(sk_c6,sk_c2) = identity. [para(25209(b,1),2(a,1,1))].
% 70.40/70.73 25243 identity = sk_c5 | multiply(sk_c1,inverse(sk_c3)) = identity. [para(25214(b,1),13590(b,1,1)),merge(b)].
% 70.40/70.73 26673 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c3) = sk_c4. [para(25121(b,1),1003(b,1)),flip(c),merge(b)].
% 70.40/70.73 26785 identity = sk_c5 | inverse(sk_c3) = sk_c4. [para(25189(b,1),16812(b,1,2)),rewrite([607(9)]),flip(c),merge(b)].
% 70.40/70.73 26788 identity = sk_c5 | inverse(sk_c4) = sk_c3. [para(26785(b,1),742(a,1,1))].
% 70.40/70.73 26900 identity = sk_c5 | inverse(sk_c1) = inverse(sk_c3). [para(25243(b,1),60(a,1,2)),rewrite([607(7)])].
% 70.40/70.73 27377 inverse(sk_c7) = sk_c6 | inverse(sk_c3) = sk_c4. [para(26673(b,1),19670(b,1)),flip(c),merge(b)].
% 70.40/70.73 27398 inverse(sk_c7) = sk_c6 | inverse(sk_c4) = sk_c3. [para(27377(b,1),742(a,1,1))].
% 70.40/70.73 27415 inverse(sk_c7) = sk_c6 | multiply(sk_c3,sk_c3) = sk_c7. [para(27398(b,1),19691(b,1,1)),merge(b)].
% 70.40/70.73 27758 inverse(sk_c7) = sk_c6 | inverse(sk_c6) = sk_c7. [para(27415(b,1),12911(b,1)),flip(c),merge(b)].
% 70.40/70.73 27763 inverse(sk_c6) = sk_c7. [para(27758(a,1),742(a,1,1)),merge(b)].
% 70.40/70.73 28423 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,sk_c1) = inverse(sk_c7). [back_rewrite(12876),rewrite([27763(7)])].
% 70.40/70.73 28516 inverse(sk_c2) = sk_c6 | multiply(sk_c7,inverse(sk_c3)) = inverse(sk_c7). [back_rewrite(10190),rewrite([27763(6)])].
% 70.40/70.73 28649 multiply(sk_c7,sk_c6) = identity. [para(27763(a,1),2(a,1,1))].
% 70.40/70.73 28650 multiply(sk_c7,multiply(sk_c6,A)) = A. [para(27763(a,1),60(a,1,1))].
% 70.40/70.73 28651 inverse(sk_c7) = sk_c6. [para(27763(a,1),742(a,1,1))].
% 70.40/70.73 28652 multiply(sk_c6,sk_c7) = identity. [para(27763(a,1),694(a,1,2))].
% 70.40/70.73 30268 identity = sk_c5 | multiply(sk_c1,sk_c5) = identity. [back_rewrite(7201),rewrite([28652(3),28650(9),28652(9)])].
% 70.40/70.73 30296 inverse(sk_c2) = sk_c6 | multiply(sk_c7,inverse(sk_c3)) = sk_c6. [back_rewrite(28516),rewrite([28651(10)])].
% 70.40/70.73 30308 identity = sk_c5 | multiply(sk_c7,sk_c1) = sk_c6. [back_rewrite(28423),rewrite([28652(3),28651(8)])].
% 70.40/70.73 31282 sk_c5 = sk_c7 | multiply(sk_c6,multiply(sk_c6,sk_c4)) = sk_c3. [back_rewrite(17449),rewrite([28651(5)])].
% 70.40/70.73 31873 multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | identity != sk_c7 | identity != sk_c5 | multiply(A,multiply(B,multiply(sk_c6,sk_c6))) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [back_rewrite(12196),rewrite([28651(2),28652(24),28651(26)]),xx(a)].
% 70.40/70.73 32489 multiply(sk_c3,sk_c6) = sk_c7 | multiply(sk_c6,sk_c6) = inverse(sk_c2). [back_rewrite(5966),rewrite([28651(8)])].
% 70.40/70.73 33312 identity = sk_c5 | multiply(sk_c7,sk_c4) = sk_c2. [back_rewrite(16832),rewrite([28652(6)]),merge(b)].
% 70.40/70.73 33884 identity = sk_c5 | inverse(sk_c1) = sk_c5. [para(30268(b,1),60(a,1,2)),rewrite([607(7)])].
% 70.40/70.73 33892 identity = sk_c5 | sk_c5 = sk_c7. [para(33884(b,1),25208(b,1)),merge(b)].
% 70.40/70.73 33894 identity = sk_c5 | inverse(sk_c3) = sk_c5. [para(33884(b,1),26900(b,1)),flip(c),merge(b)].
% 70.40/70.73 33930 sk_c5 = sk_c7 | multiply(sk_c6,sk_c4) = sk_c5. [para(33892(a,1),16517(b,2)),merge(b)].
% 70.40/70.73 34122 identity = sk_c5 | identity = sk_c6. [para(30308(b,1),25212(b,1)),flip(c),merge(b)].
% 70.40/70.73 34127 identity = sk_c6 | multiply(sk_c3,sk_c7) = sk_c5. [para(34122(a,1),1074(b,2)),merge(b)].
% 70.40/70.73 34226 identity = sk_c5 | multiply(sk_c6,sk_c2) = sk_c4. [para(33312(b,1),60(a,1,2)),rewrite([28651(5)])].
% 70.40/70.73 34709 identity = sk_c5 | identity = sk_c4. [para(34226(b,1),25217(b,1)),flip(c),merge(b)].
% 70.40/70.73 34712 identity = sk_c5 | inverse(sk_c4) = identity. [para(34709(b,1),610(a,1,1))].
% 70.49/70.73 34789 identity = sk_c5 | identity = sk_c3. [para(34712(b,1),26788(b,1)),merge(b)].
% 70.49/70.73 34796 identity = sk_c5 | inverse(sk_c3) = identity. [para(34789(b,1),610(a,1,1))].
% 70.49/70.73 35234 identity = sk_c5. [para(34796(b,1),33894(b,1)),merge(b),merge(c)].
% 70.49/70.73 35319 sk_c5 = sk_c6 | multiply(sk_c3,sk_c7) = sk_c5. [back_rewrite(34127),rewrite([35234(1)])].
% 70.49/70.73 35518 multiply(sk_c6,sk_c5) != sk_c7 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | sk_c5 != sk_c7 | multiply(A,multiply(B,multiply(sk_c6,sk_c6))) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6. [back_rewrite(31873),rewrite([35234(16),35234(19)]),xx(e)].
% 70.49/70.73 37943 multiply(sk_c7,sk_c6) = sk_c5. [back_rewrite(28649),rewrite([35234(4)])].
% 70.49/70.73 38793 inverse(sk_c5) = sk_c5. [back_rewrite(610),rewrite([35234(1),35234(3)])].
% 70.49/70.73 38794 multiply(A,sk_c5) = A. [back_rewrite(607),rewrite([35234(1)])].
% 70.49/70.73 38796 multiply(sk_c5,A) = A. [back_rewrite(1),rewrite([35234(1)])].
% 70.49/70.73 38809 sk_c7 != sk_c6 | sk_c5 != sk_c7. [factor(35518,b,f),rewrite([38794(3),38794(6),38793(9),28651(10),38796(10),37943(9),38796(18),28650(17)]),flip(a),flip(e),merge(b),merge(d),merge(e)].
% 70.49/70.73 39344 sk_c7 = sk_c6. [back_rewrite(10157),rewrite([38794(6),38794(9)]),flip(b),merge(b),merge(c)].
% 70.49/70.73 39740 sk_c5 != sk_c6. [back_rewrite(38809),rewrite([39344(1),39344(5)]),xx(a)].
% 70.49/70.73 39846 multiply(sk_c6,sk_c6) = sk_c5. [back_rewrite(37943),rewrite([39344(1)])].
% 70.49/70.73 39857 multiply(sk_c3,sk_c6) = sk_c5. [back_rewrite(35319),rewrite([39344(5)]),unit_del(a,39740)].
% 70.49/70.73 39918 multiply(sk_c6,sk_c4) = sk_c5. [back_rewrite(33930),rewrite([39344(2)]),unit_del(a,39740)].
% 70.49/70.73 39944 inverse(sk_c2) = sk_c5. [back_rewrite(32489),rewrite([39857(3),39344(2),39846(6)]),flip(b),unit_del(a,39740)].
% 70.49/70.73 39950 sk_c3 = sk_c6. [back_rewrite(31282),rewrite([39344(2),39918(7),38794(6)]),flip(b),unit_del(a,39740)].
% 70.49/70.73 39953 $F. [back_rewrite(30296),rewrite([39944(2),39344(4),39950(5),27763(6),39344(5),39846(6)]),merge(b),unit_del(a,39740)].
% 70.49/70.73
% 70.49/70.73 % SZS output end Refutation
% 70.49/70.73 ============================== end of proof ==========================
% 70.49/70.73
% 70.49/70.73 ============================== STATISTICS ============================
% 70.49/70.73
% 70.49/70.73 Given=5984. Generated=3383545. Kept=39952. proofs=1.
% 70.49/70.73 Usable=653. Sos=1247. Demods=53. Limbo=609, Disabled=37477. Hints=0.
% 70.49/70.73 Megabytes=34.42.
% 70.49/70.73 User_CPU=68.04, System_CPU=1.74, Wall_clock=70.
% 70.49/70.73
% 70.49/70.73 ============================== end of statistics =====================
% 70.49/70.73
% 70.49/70.73 ============================== end of search =========================
% 70.49/70.73
% 70.49/70.73 THEOREM PROVED
% 70.49/70.73 % SZS status Unsatisfiable
% 70.49/70.73
% 70.49/70.73 Exiting with 1 proof.
% 70.49/70.73
% 70.49/70.73 Process 27161 exit (max_proofs) Mon Jun 13 12:00:20 2022
% 70.49/70.73 Prover9 interrupted
%------------------------------------------------------------------------------