TSTP Solution File: GRP341-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP341-1 : 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 11:18:41 EDT 2022
% Result : Unsatisfiable 115.13s 115.42s
% Output : Refutation 115.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP341-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 09:13:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 115.05/115.42 ============================== Prover9 ===============================
% 115.05/115.42 Prover9 (32) version 2009-11A, November 2009.
% 115.05/115.42 Process 25789 was started by sandbox on n010.cluster.edu,
% 115.05/115.42 Tue Jun 14 09:13:40 2022
% 115.05/115.42 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25636_n010.cluster.edu".
% 115.05/115.42 ============================== end of head ===========================
% 115.05/115.42
% 115.05/115.42 ============================== INPUT =================================
% 115.05/115.42
% 115.05/115.42 % Reading from file /tmp/Prover9_25636_n010.cluster.edu
% 115.05/115.42
% 115.05/115.42 set(prolog_style_variables).
% 115.05/115.42 set(auto2).
% 115.05/115.42 % set(auto2) -> set(auto).
% 115.05/115.42 % set(auto) -> set(auto_inference).
% 115.05/115.42 % set(auto) -> set(auto_setup).
% 115.05/115.42 % set(auto_setup) -> set(predicate_elim).
% 115.05/115.42 % set(auto_setup) -> assign(eq_defs, unfold).
% 115.05/115.42 % set(auto) -> set(auto_limits).
% 115.05/115.42 % set(auto_limits) -> assign(max_weight, "100.000").
% 115.05/115.42 % set(auto_limits) -> assign(sos_limit, 20000).
% 115.05/115.42 % set(auto) -> set(auto_denials).
% 115.05/115.42 % set(auto) -> set(auto_process).
% 115.05/115.42 % set(auto2) -> assign(new_constants, 1).
% 115.05/115.42 % set(auto2) -> assign(fold_denial_max, 3).
% 115.05/115.42 % set(auto2) -> assign(max_weight, "200.000").
% 115.05/115.42 % set(auto2) -> assign(max_hours, 1).
% 115.05/115.42 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 115.05/115.42 % set(auto2) -> assign(max_seconds, 0).
% 115.05/115.42 % set(auto2) -> assign(max_minutes, 5).
% 115.05/115.42 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 115.05/115.42 % set(auto2) -> set(sort_initial_sos).
% 115.05/115.42 % set(auto2) -> assign(sos_limit, -1).
% 115.05/115.42 % set(auto2) -> assign(lrs_ticks, 3000).
% 115.05/115.42 % set(auto2) -> assign(max_megs, 400).
% 115.05/115.42 % set(auto2) -> assign(stats, some).
% 115.05/115.42 % set(auto2) -> clear(echo_input).
% 115.05/115.42 % set(auto2) -> set(quiet).
% 115.05/115.42 % set(auto2) -> clear(print_initial_clauses).
% 115.05/115.42 % set(auto2) -> clear(print_given).
% 115.05/115.42 assign(lrs_ticks,-1).
% 115.05/115.42 assign(sos_limit,10000).
% 115.05/115.42 assign(order,kbo).
% 115.05/115.42 set(lex_order_vars).
% 115.05/115.42 clear(print_given).
% 115.05/115.42
% 115.05/115.42 % formulas(sos). % not echoed (39 formulas)
% 115.05/115.42
% 115.05/115.42 ============================== end of input ==========================
% 115.05/115.42
% 115.05/115.42 % From the command line: assign(max_seconds, 300).
% 115.05/115.42
% 115.05/115.42 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 115.05/115.42
% 115.05/115.42 % Formulas that are not ordinary clauses:
% 115.05/115.42
% 115.05/115.42 ============================== end of process non-clausal formulas ===
% 115.05/115.42
% 115.05/115.42 ============================== PROCESS INITIAL CLAUSES ===============
% 115.05/115.42
% 115.05/115.42 ============================== PREDICATE ELIMINATION =================
% 115.05/115.42
% 115.05/115.42 ============================== end predicate elimination =============
% 115.05/115.42
% 115.05/115.42 Auto_denials: (non-Horn, no changes).
% 115.05/115.42
% 115.05/115.42 Term ordering decisions:
% 115.05/115.42
% 115.05/115.42 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 115.05/115.42 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.
% 115.05/115.42
% 115.05/115.42 ============================== end of process initial clauses ========
% 115.05/115.42
% 115.05/115.42 ============================== CLAUSES FOR SEARCH ====================
% 115.05/115.42
% 115.05/115.42 ============================== end of clauses for search =============
% 115.05/115.42
% 115.05/115.42 ============================== SEARCH ================================
% 115.05/115.42
% 115.05/115.42 % Starting search at 0.02 seconds.
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=49.000, iters=3357
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=48.000, iters=3421
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=47.000, iters=3361
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=46.000, iters=3381
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=45.000, iters=3367
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=44.000, iters=3358
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=43.000, iters=3361
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=42.000, iters=3335
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=41.000, iters=3371
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=40.000, iters=3341
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=39.000, iters=3359
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=38.000, iters=3363
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=37.000, iters=3504
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=36.000, iters=3345
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=35.000, iters=3352
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=31.000, iters=3335
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=17.000, iters=3359
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=16.000, iters=3348
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=15.000, iters=3440
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=14.000, iters=3354
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=13.000, iters=3335
% 115.05/115.42
% 115.05/115.42 Low Water (displace): id=3780, wt=57.000
% 115.05/115.42
% 115.05/115.42 Low Water (displace): id=18126, wt=12.000
% 115.05/115.42
% 115.05/115.42 Low Water (displace): id=18138, wt=11.000
% 115.05/115.42
% 115.05/115.42 Low Water (keep): wt=12.000, iters=3333
% 115.05/115.42
% 115.05/115.42 Low Water (displace): id=26806, wt=10.000
% 115.05/115.42
% 115.05/115.42 ============================== PROOF =================================
% 115.13/115.42 % SZS status Unsatisfiable
% 115.13/115.42 % SZS output start Refutation
% 115.13/115.42
% 115.13/115.42 % Proof 1 at 111.73 (+ 2.71) seconds.
% 115.13/115.42 % Length of proof is 176.
% 115.13/115.42 % Level of proof is 34.
% 115.13/115.42 % Maximum clause weight is 59.000.
% 115.13/115.42 % Given clauses 7197.
% 115.13/115.42
% 115.13/115.42 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 115.13/115.42 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 115.13/115.42 3 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 115.13/115.42 4 inverse(sk_c1) = sk_c7 | inverse(sk_c5) = sk_c6 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 115.13/115.42 5 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 115.13/115.42 6 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 115.13/115.42 7 inverse(sk_c2) = sk_c6 | inverse(sk_c5) = sk_c6 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 115.13/115.42 8 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 115.13/115.42 9 multiply(sk_c6,sk_c7) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 115.13/115.42 10 multiply(sk_c6,sk_c7) = sk_c5 | inverse(sk_c5) = sk_c6 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 115.13/115.42 12 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c7) = sk_c6 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 115.13/115.42 13 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c5 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 115.13/115.42 14 inverse(sk_c1) = sk_c7 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 115.13/115.42 17 multiply(sk_c1,sk_c6) = sk_c7 | inverse(sk_c5) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 115.13/115.42 19 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c7) = sk_c6 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 115.13/115.42 20 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c5 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 115.13/115.42 21 inverse(sk_c2) = sk_c6 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 115.13/115.42 23 multiply(sk_c2,sk_c5) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 115.13/115.42 24 multiply(sk_c2,sk_c5) = sk_c6 | inverse(sk_c5) = sk_c6 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 115.13/115.42 26 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c3,sk_c7) = sk_c6 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 115.13/115.42 28 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 115.13/115.42 29 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c5,sk_c6) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 115.13/115.42 30 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c3,sk_c7) = sk_c6 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 115.13/115.42 33 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c5,sk_c6) = sk_c7 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 115.13/115.42 37 multiply(sk_c2,sk_c5) = sk_c6 | multiply(sk_c5,sk_c6) = sk_c7 # label(prove_this_35) # label(negated_conjecture). [assumption].
% 115.13/115.42 38 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 115.13/115.42 39 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(C,sk_c7) != sk_c6 | inverse(C) != sk_c7 | inverse(sk_c5) != sk_c6 | multiply(D,sk_c6) != sk_c5 | inverse(D) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c5,sk_c6) != sk_c7 # label(prove_this_36) # label(negated_conjecture). [assumption].
% 115.13/115.42 56 inverse(sk_c5) = sk_c6 | multiply(sk_c7,sk_c1) = identity. [para(4(a,1),2(a,1,1))].
% 115.13/115.42 59 inverse(sk_c5) = sk_c6 | multiply(sk_c6,sk_c2) = identity. [para(7(a,1),2(a,1,1))].
% 115.13/115.42 61 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),38(a,1,1)),rewrite([1(2)]),flip(a)].
% 115.13/115.42 63 inverse(sk_c3) = sk_c7 | multiply(A,multiply(sk_c6,sk_c7)) = multiply(A,sk_c5). [para(9(a,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 64 inverse(sk_c5) = sk_c6 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(10(a,1),38(a,1,1)),flip(b)].
% 115.13/115.42 65 inverse(sk_c5) = sk_c6 | multiply(A,multiply(sk_c6,sk_c7)) = multiply(A,sk_c5). [para(10(a,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 69 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c3,sk_c7)) = multiply(A,sk_c6). [para(12(b,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 71 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c4,sk_c6)) = multiply(A,sk_c5). [para(13(b,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 78 inverse(sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(17(a,1),38(a,1,1)),flip(b)].
% 115.13/115.42 79 inverse(sk_c5) = sk_c6 | multiply(A,multiply(sk_c1,sk_c6)) = multiply(A,sk_c7). [para(17(a,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 83 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c3,sk_c7)) = multiply(A,sk_c6). [para(19(b,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 85 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c4,sk_c6)) = multiply(A,sk_c5). [para(20(b,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 92 inverse(sk_c5) = sk_c6 | multiply(sk_c2,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(24(a,1),38(a,1,1)),flip(b)].
% 115.13/115.42 93 inverse(sk_c5) = sk_c6 | multiply(A,multiply(sk_c2,sk_c5)) = multiply(A,sk_c6). [para(24(a,1),38(a,2,2)),rewrite([38(8)])].
% 115.13/115.42 153 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(multiply(B,C)) != sk_c6 | multiply(B,multiply(C,sk_c5)) != sk_c6 | multiply(D,sk_c7) != sk_c6 | inverse(D) != sk_c7 | inverse(sk_c5) != sk_c6 | multiply(E,sk_c6) != sk_c5 | inverse(E) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c5,sk_c6) != sk_c7. [para(38(a,1),39(e,1))].
% 115.13/115.42 278 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(multiply(B,C)) != sk_c6 | multiply(B,multiply(C,sk_c5)) != sk_c6 | multiply(A,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(D,sk_c6) != sk_c5 | inverse(D) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c5,sk_c6) != sk_c7. [factor(153,b,g)].
% 115.13/115.42 403 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(A,B)) != sk_c6 | multiply(A,multiply(B,sk_c5)) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(C,sk_c6) != sk_c5 | inverse(C) != sk_c6. [factor(278,c,k),merge(j)].
% 115.13/115.42 453 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(A,B)) != sk_c6 | multiply(A,multiply(B,sk_c5)) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,multiply(B,sk_c6)) != sk_c5. [factor(403,d,i),rewrite([38(35)])].
% 115.13/115.42 473 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),61(a,1,2))].
% 115.13/115.42 474 inverse(sk_c5) = sk_c6 | multiply(sk_c7,multiply(sk_c1,A)) = A. [para(4(a,1),61(a,1,1))].
% 115.13/115.42 484 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c5),sk_c6) = sk_c7. [para(14(b,1),61(a,1,2))].
% 115.13/115.42 491 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c5),sk_c6) = sk_c7. [para(21(b,1),61(a,1,2))].
% 115.13/115.42 498 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = sk_c7. [para(28(b,1),61(a,1,2))].
% 115.13/115.42 500 multiply(sk_c1,sk_c6) = sk_c7 | multiply(inverse(sk_c3),sk_c6) = sk_c7. [para(30(b,1),61(a,1,2))].
% 115.13/115.42 510 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(61(a,1),61(a,1,2))].
% 115.13/115.42 511 multiply(A,identity) = A. [back_rewrite(473),rewrite([510(4)])].
% 115.13/115.42 514 inverse(identity) = identity. [para(511(a,1),2(a,1))].
% 115.13/115.42 528 inverse(sk_c5) = sk_c6 | inverse(sk_c7) = sk_c1. [para(56(b,1),61(a,1,2)),rewrite([511(8)])].
% 115.13/115.42 539 inverse(sk_c5) = sk_c6 | inverse(sk_c6) = sk_c2. [para(59(b,1),61(a,1,2)),rewrite([511(8)])].
% 115.13/115.42 591 multiply(A,inverse(A)) = identity. [para(510(a,1),2(a,1))].
% 115.13/115.42 596 inverse(sk_c5) = sk_c6 | multiply(inverse(sk_c6),A) = multiply(sk_c2,A). [para(7(a,1),510(a,1,1,1))].
% 115.13/115.42 628 multiply(A,multiply(inverse(A),B)) = B. [para(510(a,1),61(a,1))].
% 115.13/115.42 629 inverse(inverse(A)) = A. [para(510(a,1),511(a,1)),rewrite([511(2)]),flip(a)].
% 115.13/115.42 663 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c7) = identity. [para(3(b,1),591(a,1,2))].
% 115.13/115.42 664 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(4(a,1),591(a,1,2))].
% 115.13/115.42 665 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = identity. [para(5(b,1),591(a,1,2))].
% 115.13/115.42 666 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c7) = identity. [para(6(b,1),591(a,1,2))].
% 115.13/115.42 668 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(8(b,1),591(a,1,2))].
% 115.13/115.42 669 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(591(a,1),38(a,1)),flip(a)].
% 115.13/115.42 679 inverse(sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(4(a,1),628(a,1,2,1))].
% 115.13/115.42 682 inverse(sk_c5) = sk_c6 | multiply(sk_c2,multiply(sk_c6,A)) = A. [para(7(a,1),628(a,1,2,1))].
% 115.13/115.42 695 inverse(sk_c3) = sk_c7 | multiply(sk_c2,multiply(sk_c6,sk_c7)) = sk_c6. [para(23(a,1),63(b,2)),merge(b)].
% 115.13/115.42 720 inverse(sk_c5) = sk_c6 | multiply(sk_c5,sk_c1) = sk_c6. [para(56(b,1),64(b,1,2)),rewrite([511(11)]),flip(c),merge(b)].
% 115.13/115.42 722 inverse(sk_c5) = sk_c6 | multiply(sk_c6,multiply(sk_c7,inverse(sk_c5))) = identity. [para(591(a,1),64(b,2))].
% 115.13/115.42 951 inverse(sk_c1) = sk_c7 | multiply(A,sk_c6) = A. [para(663(b,1),69(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 1133 inverse(sk_c1) = sk_c7 | multiply(A,sk_c5) = A. [para(665(b,1),71(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 1153 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(A,inverse(sk_c5))) != sk_c6 | sk_c6 != A | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,multiply(inverse(sk_c5),sk_c6)) != sk_c5. [para(2(a,1),453(e,1,2)),rewrite([511(22)]),flip(e)].
% 115.13/115.42 1162 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(A,multiply(B,inverse(sk_c5)))) != sk_c6 | multiply(A,B) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,multiply(B,multiply(inverse(sk_c5),sk_c6))) != sk_c5. [para(38(a,1),1153(h,1)),rewrite([38(18)]),flip(e)].
% 115.13/115.42 1165 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(sk_c5,multiply(sk_c7,inverse(sk_c5)))) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(sk_c5,multiply(sk_c7,multiply(inverse(sk_c5),sk_c6))) != sk_c5. [factor(1162,e,f)].
% 115.13/115.42 1790 inverse(sk_c5) = sk_c6 | multiply(inverse(sk_c5),sk_c6) = sk_c1. [para(720(b,1),61(a,1,2))].
% 115.13/115.42 2056 inverse(sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c6,sk_c1)) = identity. [para(56(b,1),78(b,2)),merge(b)].
% 115.13/115.42 2133 inverse(sk_c5) = sk_c6 | multiply(sk_c6,multiply(sk_c1,sk_c6)) = sk_c5. [para(10(a,1),79(b,2)),merge(b)].
% 115.13/115.42 2138 inverse(sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c1,sk_c6)) = identity. [para(664(b,1),79(b,2)),merge(b)].
% 115.13/115.42 2638 inverse(sk_c1) = sk_c7 | inverse(sk_c5) = identity. [para(1133(b,1),2(a,1))].
% 115.13/115.42 2703 inverse(sk_c5) = identity | inverse(sk_c7) = sk_c1. [para(2638(a,1),629(a,1,1))].
% 115.13/115.42 2873 inverse(sk_c2) = sk_c6 | multiply(A,sk_c6) = A. [para(666(b,1),83(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 3592 inverse(sk_c2) = sk_c6 | multiply(A,sk_c5) = A. [para(668(b,1),85(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 4727 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | inverse(multiply(A,inverse(sk_c5))) != sk_c6 | sk_c6 != A | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6. [para(2(a,1),403(e,1,2)),rewrite([511(22)]),flip(e)].
% 115.13/115.42 4772 inverse(sk_c2) = sk_c6 | inverse(sk_c5) = identity. [para(3592(b,1),2(a,1))].
% 115.13/115.42 4834 inverse(sk_c5) = identity | inverse(sk_c6) = sk_c2. [para(4772(a,1),629(a,1,1))].
% 115.13/115.42 5230 inverse(sk_c5) = sk_c6 | multiply(sk_c6,inverse(sk_c5)) = sk_c2. [para(591(a,1),92(b,1,2)),rewrite([511(7)]),flip(b)].
% 115.13/115.42 5711 inverse(sk_c1) = sk_c7 | inverse(sk_c5) = sk_c7. [para(484(b,1),951(b,1)),flip(c),merge(b)].
% 115.13/115.42 5715 inverse(sk_c5) = sk_c7 | inverse(sk_c7) = sk_c1. [para(5711(a,1),629(a,1,1))].
% 115.13/115.42 5720 inverse(sk_c7) = sk_c1 | sk_c7 = sk_c6. [para(5715(a,1),528(a,1)),merge(c)].
% 115.13/115.42 5733 inverse(sk_c7) = sk_c1 | identity = sk_c7. [para(5715(a,1),2703(a,1)),flip(b),merge(c)].
% 115.13/115.42 5802 identity = sk_c7 | multiply(sk_c7,multiply(sk_c1,A)) = A. [para(5733(a,1),628(a,1,2,1))].
% 115.13/115.42 6377 inverse(sk_c2) = sk_c6 | inverse(sk_c5) = sk_c7. [para(491(b,1),2873(b,1)),flip(c),merge(b)].
% 115.13/115.42 6419 inverse(sk_c5) = sk_c7 | inverse(sk_c6) = sk_c2. [para(6377(a,1),629(a,1,1))].
% 115.13/115.42 6424 inverse(sk_c6) = sk_c2 | sk_c7 = sk_c6. [para(6419(a,1),539(a,1)),merge(c)].
% 115.13/115.42 6436 inverse(sk_c6) = sk_c2 | identity = sk_c7. [para(6419(a,1),4834(a,1)),flip(b),merge(c)].
% 115.13/115.42 6439 sk_c7 = sk_c6 | multiply(sk_c2,multiply(sk_c6,A)) = A. [para(6424(a,1),61(a,1,1))].
% 115.13/115.42 6455 identity = sk_c7 | multiply(sk_c2,multiply(sk_c6,A)) = A. [para(6436(a,1),61(a,1,1))].
% 115.13/115.42 6940 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(669(a,1),61(a,1,2)),rewrite([511(3)]),flip(a)].
% 115.13/115.42 7051 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,inverse(sk_c6)) = inverse(sk_c3). [para(26(b,1),6940(a,1,2,1))].
% 115.13/115.42 7066 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(6940(a,1),61(a,1,2)),flip(a)].
% 115.13/115.42 7496 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,inverse(A)) != sk_c6 | sk_c6 != A | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6. [back_rewrite(4727),rewrite([7066(18),629(17)])].
% 115.13/115.42 8092 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,multiply(inverse(sk_c7),inverse(sk_c5))) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(sk_c5,multiply(sk_c7,multiply(inverse(sk_c5),sk_c6))) != sk_c5. [back_rewrite(1165),rewrite([7066(21),7066(19),629(17),38(21)])].
% 115.13/115.42 10253 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,A) != sk_c6 | inverse(A) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(B,sk_c6) != sk_c5 | inverse(B) != sk_c6. [para(629(a,1),7496(d,1,2)),flip(e)].
% 115.13/115.42 10254 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6. [factor(10253,d,f)].
% 115.13/115.42 10257 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,multiply(B,sk_c6)) != sk_c5 | multiply(inverse(B),inverse(A)) != sk_c6. [para(38(a,1),10254(g,1)),rewrite([7066(34)])].
% 115.13/115.42 10437 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6. [para(2(a,1),10257(g,1,2)),rewrite([511(29),629(32)]),flip(g)].
% 115.13/115.42 10439 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | inverse(A) != sk_c5 | multiply(sk_c6,A) != sk_c6. [para(629(a,1),10437(h,1,2)),flip(g)].
% 115.13/115.42 10440 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(inverse(A),sk_c6) != sk_c5 | sk_c6 != A. [para(628(a,1),10439(h,1)),rewrite([7066(31),629(31)]),flip(h)].
% 115.13/115.42 11454 multiply(sk_c5,sk_c6) = sk_c7 | identity = sk_c7 | multiply(sk_c7,sk_c7) = sk_c6. [para(33(a,1),5802(b,1,2))].
% 115.13/115.42 11635 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c7),inverse(sk_c3)) = inverse(sk_c6). [para(26(b,1),7066(a,1,1)),flip(b)].
% 115.13/115.42 11904 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(inverse(A),multiply(inverse(B),sk_c6)) != sk_c5 | multiply(B,A) != sk_c6. [para(7066(a,1),10440(g,1,1)),rewrite([38(32)]),flip(h)].
% 115.13/115.42 12174 multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,sk_c6) != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | inverse(sk_c5) != sk_c6 | multiply(A,multiply(inverse(B),sk_c6)) != sk_c5 | multiply(B,inverse(A)) != sk_c6. [para(629(a,1),11904(g,1,1))].
% 115.13/115.42 13647 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c6),sk_c5) = inverse(sk_c7). [para(498(b,1),7066(a,1,1)),rewrite([629(12)]),flip(b)].
% 115.13/115.42 17222 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c5) = sk_c7. [para(596(b,1),65(b,2)),rewrite([61(14)]),flip(c),merge(b)].
% 115.13/115.42 17241 inverse(sk_c5) = sk_c6 | multiply(inverse(sk_c2),sk_c7) = sk_c5. [para(17222(b,1),61(a,1,2))].
% 115.13/115.42 17475 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c2) = inverse(sk_c5). [para(5230(b,1),682(b,1,2)),merge(b)].
% 115.13/115.42 17725 inverse(sk_c3) = sk_c7 | sk_c7 = sk_c6. [para(695(b,1),6439(b,1)),flip(c),merge(c)].
% 115.13/115.42 17733 sk_c7 = sk_c6 | multiply(sk_c7,sk_c3) = identity. [para(17725(a,1),2(a,1,1))].
% 115.13/115.42 17763 sk_c7 = sk_c6 | multiply(inverse(sk_c3),inverse(sk_c7)) = identity. [para(17733(b,1),7066(a,1,1)),rewrite([514(5)]),flip(b)].
% 115.13/115.42 18011 inverse(sk_c5) = sk_c6 | multiply(sk_c7,inverse(sk_c5)) = sk_c2. [para(722(b,1),682(b,1,2)),rewrite([511(11)]),flip(c),merge(b)].
% 115.13/115.42 18538 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c2) = inverse(sk_c5). [para(18011(b,1),679(b,1,2)),merge(b)].
% 115.13/115.42 21938 inverse(sk_c5) = sk_c6 | multiply(sk_c6,sk_c1) = inverse(sk_c1). [para(2056(b,1),61(a,1,2)),rewrite([511(8)]),flip(b)].
% 115.13/115.42 21939 inverse(sk_c5) = sk_c6 | multiply(sk_c6,sk_c1) = sk_c7. [para(2056(b,1),474(b,1,2)),rewrite([511(11)]),flip(c),merge(b)].
% 115.13/115.42 21980 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c6) = inverse(sk_c1). [para(2138(b,1),61(a,1,2)),rewrite([511(8)]),flip(b)].
% 115.13/115.42 21993 inverse(sk_c5) = sk_c6 | multiply(sk_c6,inverse(sk_c1)) = sk_c5. [para(21980(b,1),2133(b,1,2)),merge(b)].
% 115.13/115.42 21995 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c5) = inverse(sk_c1). [para(21993(b,1),682(b,1,2)),merge(b)].
% 115.13/115.42 21996 inverse(sk_c5) = sk_c6 | inverse(sk_c1) = sk_c6. [para(21995(b,1),24(a,1)),merge(c)].
% 115.13/115.42 22009 inverse(sk_c5) = sk_c6 | multiply(sk_c6,sk_c1) = identity. [para(21996(b,1),2(a,1,1))].
% 115.13/115.42 22012 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c6) = identity. [para(21996(b,1),591(a,1,2))].
% 115.13/115.42 22093 inverse(sk_c5) = sk_c6 | identity = sk_c7. [para(22009(b,1),21939(b,1)),merge(b)].
% 115.13/115.42 22094 inverse(sk_c5) = sk_c6 | inverse(sk_c1) = identity. [para(22009(b,1),21938(b,1)),flip(c),merge(b)].
% 115.13/115.42 22103 identity = sk_c7 | multiply(sk_c5,sk_c6) = identity. [para(22093(a,1),591(a,1,2))].
% 115.13/115.42 22281 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c5) = identity. [para(22094(b,1),21995(b,2)),merge(b)].
% 115.13/115.42 22506 identity = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5. [para(22103(b,1),29(b,1)),merge(c)].
% 115.13/115.42 22912 identity = sk_c7 | multiply(sk_c2,sk_c5) = sk_c7. [para(22506(b,1),6455(b,1,2)),merge(b)].
% 115.13/115.42 23244 identity = sk_c7 | sk_c7 = sk_c6 | multiply(sk_c5,sk_c6) = sk_c7. [para(22912(b,1),37(a,1))].
% 115.13/115.42 23806 inverse(sk_c5) = sk_c6 | multiply(A,sk_c7) = A. [para(22012(b,1),79(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 23888 inverse(sk_c5) = sk_c6 | multiply(A,sk_c6) = A. [para(22281(b,1),93(b,1,2)),rewrite([511(10)]),flip(c),merge(b)].
% 115.13/115.42 24199 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c7) = inverse(sk_c6). [para(23806(b,1),596(b,1)),flip(c),merge(b)].
% 115.13/115.42 24336 inverse(sk_c5) = sk_c6 | inverse(sk_c5) = sk_c1. [para(23888(b,1),1790(b,1)),merge(b)].
% 115.13/115.42 24369 inverse(sk_c5) = sk_c6 | multiply(sk_c6,sk_c1) = sk_c2. [para(24336(b,1),5230(b,1,2)),merge(b)].
% 115.13/115.42 24659 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c2) = identity. [para(24369(b,1),2056(b,1,2)),merge(b)].
% 115.13/115.42 24840 inverse(sk_c5) = sk_c6 | inverse(sk_c5) = identity. [para(24659(b,1),18538(b,1)),flip(c),merge(b)].
% 115.13/115.42 24844 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c2) = identity. [para(24840(b,1),17475(b,2)),merge(b)].
% 115.13/115.42 24994 inverse(sk_c5) = sk_c6 | inverse(sk_c2) = sk_c2. [para(24844(b,1),61(a,1,2)),rewrite([511(8)])].
% 115.13/115.42 24998 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c7) = sk_c5. [para(24994(b,1),17241(b,1,1)),merge(b)].
% 115.13/115.42 27666 inverse(sk_c5) = sk_c6 | inverse(sk_c6) = sk_c5. [para(24199(b,1),24998(b,1)),merge(b)].
% 115.13/115.42 27669 inverse(sk_c6) = sk_c5. [para(27666(a,1),629(a,1,1)),merge(b)].
% 115.13/115.42 28115 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c5,sk_c5) = inverse(sk_c7). [back_rewrite(13647),rewrite([27669(7)])].
% 115.13/115.42 28273 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c7),inverse(sk_c3)) = sk_c5. [back_rewrite(11635),rewrite([27669(12)])].
% 115.13/115.42 28379 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,sk_c5) = inverse(sk_c3). [back_rewrite(7051),rewrite([27669(8)])].
% 115.13/115.42 28438 multiply(sk_c5,sk_c6) = identity. [para(27669(a,1),2(a,1,1))].
% 115.13/115.42 28439 multiply(sk_c5,multiply(sk_c6,A)) = A. [para(27669(a,1),61(a,1,1))].
% 115.13/115.42 28440 inverse(sk_c5) = sk_c6. [para(27669(a,1),629(a,1,1))].
% 115.13/115.42 28441 multiply(sk_c6,sk_c5) = identity. [para(27669(a,1),591(a,1,2))].
% 115.13/115.42 28527 multiply(sk_c6,sk_c7) != sk_c5 | sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6. [para(27669(a,1),12174(g,1,2,1)),rewrite([28440(7),28438(11),28440(22),28438(26),511(25)]),flip(b),flip(g),xx(f)].
% 115.13/115.42 30737 identity = sk_c7 | sk_c7 = sk_c6. [back_rewrite(23244),rewrite([28438(9)]),merge(c)].
% 115.13/115.42 31592 identity = sk_c7 | multiply(sk_c7,sk_c7) = sk_c6. [back_rewrite(11454),rewrite([28438(3)]),merge(b)].
% 115.13/115.42 31646 multiply(sk_c6,sk_c7) != sk_c5 | sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c5,multiply(inverse(sk_c7),sk_c6)) != sk_c6 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c5,multiply(sk_c7,multiply(sk_c6,sk_c6))) != sk_c5. [back_rewrite(8092),rewrite([28440(7),28438(11),28440(16),28440(26),28440(31)]),flip(b),xx(f)].
% 115.13/115.42 32709 sk_c7 = sk_c6 | inverse(sk_c7) = identity. [para(30737(a,1),514(a,1,1))].
% 115.13/115.42 32799 sk_c7 = sk_c6 | identity = sk_c1. [para(32709(b,1),5720(a,1)),merge(c)].
% 115.13/115.42 32809 sk_c7 = sk_c6 | inverse(sk_c3) = identity. [para(32709(b,1),17763(b,1,2)),rewrite([511(10)]),merge(b)].
% 115.13/115.42 32811 sk_c7 = sk_c6 | multiply(sk_c1,A) = A. [para(32799(b,1),1(a,1,1))].
% 115.13/115.42 33026 sk_c7 = sk_c6 | multiply(sk_c1,sk_c6) = sk_c7. [para(32809(b,1),500(b,1,1)),rewrite([1(11)]),flip(c),merge(c)].
% 115.13/115.42 33321 identity = sk_c7 | multiply(inverse(sk_c7),sk_c6) = sk_c7. [para(31592(b,1),61(a,1,2))].
% 115.13/115.42 33440 multiply(sk_c6,sk_c7) != sk_c5 | sk_c7 != sk_c6 | identity != sk_c7 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c7) != sk_c6 | multiply(sk_c6,sk_c6) != sk_c6. [para(28440(a,1),28527(g,1,2)),xx(f)].
% 115.13/115.42 33786 sk_c7 = sk_c6. [para(33026(b,1),32811(b,1)),merge(b),merge(c)].
% 115.13/115.42 33852 multiply(sk_c6,sk_c6) != sk_c5 | identity != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c6) != sk_c6. [back_rewrite(33440),rewrite([33786(2),33786(6),33786(10),33786(13),28438(14),33786(15),27669(16)]),xx(b),merge(c)].
% 115.13/115.42 33906 identity = sk_c6. [back_rewrite(33321),rewrite([33786(2),33786(4),27669(5),28438(6),33786(5)]),merge(b)].
% 115.13/115.42 34152 multiply(sk_c6,sk_c6) != sk_c5. [back_rewrite(31646),rewrite([33786(2),33786(6),33906(9),33786(10),33786(13),27669(14),28438(15),33906(13),28438(14),33906(12),33786(16),28438(17),33906(15),33786(19),28439(24)]),xx(b),xx(c),xx(d),xx(e),merge(b)].
% 115.13/115.42 34170 inverse(sk_c3) = sk_c6. [back_rewrite(28379),rewrite([33786(2),33786(6),28441(8),33906(6)]),flip(b),unit_del(a,34152)].
% 115.13/115.42 34178 sk_c5 = sk_c6. [back_rewrite(28273),rewrite([33786(2),33786(6),27669(7),34170(8),28438(8),33906(6)]),flip(b),unit_del(a,34152)].
% 115.13/115.42 34195 multiply(sk_c6,sk_c6) = sk_c6. [back_rewrite(28115),rewrite([33786(2),34178(4),34178(6),34178(7),33786(9),27669(10),34178(9)]),merge(b)].
% 115.13/115.42 34703 $F. [back_rewrite(33852),rewrite([34195(3),34178(2),33906(4),34178(7),34195(12)]),xx(a),xx(b),xx(c),xx(d)].
% 115.13/115.42
% 115.13/115.42 % SZS output end Refutation
% 115.13/115.42 ============================== end of proof ==========================
% 115.13/115.42
% 115.13/115.42 ============================== STATISTICS ============================
% 115.13/115.42
% 115.13/115.42 Given=7197. Generated=5122701. Kept=34702. proofs=1.
% 115.13/115.42 Usable=403. Sos=624. Demods=23. Limbo=797, Disabled=32917. Hints=0.
% 115.13/115.42 Megabytes=35.40.
% 115.13/115.42 User_CPU=111.73, System_CPU=2.71, Wall_clock=114.
% 115.13/115.42
% 115.13/115.42 ============================== end of statistics =====================
% 115.13/115.42
% 115.13/115.42 ============================== end of search =========================
% 115.13/115.42
% 115.13/115.42 THEOREM PROVED
% 115.13/115.42 % SZS status Unsatisfiable
% 115.13/115.42
% 115.13/115.42 Exiting with 1 proof.
% 115.13/115.42
% 115.13/115.42 Process 25789 exit (max_proofs) Tue Jun 14 09:15:34 2022
% 115.13/115.42 Prover9 interrupted
%------------------------------------------------------------------------------