TSTP Solution File: GRP278-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 11:18:27 EDT 2022
% Result : Unsatisfiable 49.52s 49.83s
% Output : Refutation 49.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 00:52:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.48/12.78 ============================== Prover9 ===============================
% 12.48/12.78 Prover9 (32) version 2009-11A, November 2009.
% 12.48/12.78 Process 32677 was started by sandbox2 on n020.cluster.edu,
% 12.48/12.78 Tue Jun 14 00:52:35 2022
% 12.48/12.78 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_32524_n020.cluster.edu".
% 12.48/12.78 ============================== end of head ===========================
% 12.48/12.78
% 12.48/12.78 ============================== INPUT =================================
% 12.48/12.78
% 12.48/12.78 % Reading from file /tmp/Prover9_32524_n020.cluster.edu
% 12.48/12.78
% 12.48/12.78 set(prolog_style_variables).
% 12.48/12.78 set(auto2).
% 12.48/12.78 % set(auto2) -> set(auto).
% 12.48/12.78 % set(auto) -> set(auto_inference).
% 12.48/12.78 % set(auto) -> set(auto_setup).
% 12.48/12.78 % set(auto_setup) -> set(predicate_elim).
% 12.48/12.78 % set(auto_setup) -> assign(eq_defs, unfold).
% 12.48/12.78 % set(auto) -> set(auto_limits).
% 12.48/12.78 % set(auto_limits) -> assign(max_weight, "100.000").
% 12.48/12.78 % set(auto_limits) -> assign(sos_limit, 20000).
% 12.48/12.78 % set(auto) -> set(auto_denials).
% 12.48/12.78 % set(auto) -> set(auto_process).
% 12.48/12.78 % set(auto2) -> assign(new_constants, 1).
% 12.48/12.78 % set(auto2) -> assign(fold_denial_max, 3).
% 12.48/12.78 % set(auto2) -> assign(max_weight, "200.000").
% 12.48/12.78 % set(auto2) -> assign(max_hours, 1).
% 12.48/12.78 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 12.48/12.78 % set(auto2) -> assign(max_seconds, 0).
% 12.48/12.78 % set(auto2) -> assign(max_minutes, 5).
% 12.48/12.78 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 12.48/12.78 % set(auto2) -> set(sort_initial_sos).
% 12.48/12.78 % set(auto2) -> assign(sos_limit, -1).
% 12.48/12.78 % set(auto2) -> assign(lrs_ticks, 3000).
% 12.48/12.78 % set(auto2) -> assign(max_megs, 400).
% 12.48/12.78 % set(auto2) -> assign(stats, some).
% 12.48/12.78 % set(auto2) -> clear(echo_input).
% 12.48/12.78 % set(auto2) -> set(quiet).
% 12.48/12.78 % set(auto2) -> clear(print_initial_clauses).
% 12.48/12.78 % set(auto2) -> clear(print_given).
% 12.48/12.78 assign(lrs_ticks,-1).
% 12.48/12.78 assign(sos_limit,10000).
% 12.48/12.78 assign(order,kbo).
% 12.48/12.78 set(lex_order_vars).
% 12.48/12.78 clear(print_given).
% 12.48/12.78
% 12.48/12.78 % formulas(sos). % not echoed (24 formulas)
% 12.48/12.78
% 12.48/12.78 ============================== end of input ==========================
% 12.48/12.78
% 12.48/12.78 % From the command line: assign(max_seconds, 300).
% 12.48/12.78
% 12.48/12.78 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 12.48/12.78
% 12.48/12.78 % Formulas that are not ordinary clauses:
% 12.48/12.78
% 12.48/12.78 ============================== end of process non-clausal formulas ===
% 12.48/12.78
% 12.48/12.78 ============================== PROCESS INITIAL CLAUSES ===============
% 12.48/12.78
% 12.48/12.78 ============================== PREDICATE ELIMINATION =================
% 12.48/12.78
% 12.48/12.78 ============================== end predicate elimination =============
% 12.48/12.78
% 12.48/12.78 Auto_denials: (non-Horn, no changes).
% 12.48/12.78
% 12.48/12.78 Term ordering decisions:
% 12.48/12.78
% 12.48/12.78 % Assigning unary symbol inverse kb_weight 0 and highest precedence (10).
% 12.48/12.78 Function symbol KB weights: sk_c5=1. sk_c6=1. sk_c4=1. sk_c1=1. sk_c2=1. sk_c3=1. identity=1. multiply=1. inverse=0.
% 12.48/12.78
% 12.48/12.78 ============================== end of process initial clauses ========
% 12.48/12.78
% 12.48/12.78 ============================== CLAUSES FOR SEARCH ====================
% 12.48/12.78
% 12.48/12.78 ============================== end of clauses for search =============
% 12.48/12.78
% 12.48/12.78 ============================== SEARCH ================================
% 12.48/12.78
% 12.48/12.78 % Starting search at 0.01 seconds.
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=45.000, iters=3651
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=42.000, iters=3564
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=41.000, iters=3373
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=40.000, iters=3337
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=39.000, iters=3352
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=38.000, iters=3346
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=37.000, iters=3343
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=36.000, iters=3385
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=35.000, iters=3407
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=34.000, iters=3373
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=33.000, iters=3353
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=32.000, iters=3348
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=31.000, iters=3333
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=30.000, iters=3417
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=29.000, iters=3336
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=28.000, iters=3343
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=21.000, iters=3336
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=20.000, iters=3373
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=19.000, iters=3364
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=18.000, iters=3522
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=17.000, iters=3375
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=16.000, iters=3340
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=15.000, iters=3366
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=14.000, iters=3333
% 12.48/12.78
% 12.48/12.78 Low Water (keep): wt=13.000, iters=3337
% 12.48/12.78
% 12.48/12.78 Low Water (displace): id=4992, wt=47.000
% 12.48/12.78
% 12.48/12.78 Low Water (displace): id=4988, wt=46.000
% 49.52/49.83
% 49.52/49.83 Low Water (displace): id=5121, wt=45.000
% 49.52/49.83
% 49.52/49.83 Low Water (displace): id=3903, wt=44.000
% 49.52/49.83
% 49.52/49.83 Low Water (displace): id=15812, wt=11.000
% 49.52/49.83
% 49.52/49.83 Low Water (keep): wt=12.000, iters=3334
% 49.52/49.83
% 49.52/49.83 ============================== PROOF =================================
% 49.52/49.83 % SZS status Unsatisfiable
% 49.52/49.83 % SZS output start Refutation
% 49.52/49.83
% 49.52/49.83 % Proof 1 at 47.52 (+ 1.34) seconds.
% 49.52/49.83 % Length of proof is 196.
% 49.52/49.83 % Level of proof is 31.
% 49.52/49.83 % Maximum clause weight is 46.000.
% 49.52/49.83 % Given clauses 4751.
% 49.52/49.83
% 49.52/49.83 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 49.52/49.83 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 49.52/49.83 3 inverse(sk_c1) = sk_c6 | inverse(sk_c2) = sk_c6 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 49.52/49.83 4 inverse(sk_c1) = sk_c6 | inverse(sk_c3) = sk_c5 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 49.52/49.83 5 inverse(sk_c4) = sk_c5 | inverse(sk_c2) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 49.52/49.83 6 inverse(sk_c4) = sk_c5 | inverse(sk_c3) = sk_c5 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 49.52/49.83 7 multiply(sk_c1,sk_c6) = sk_c5 | inverse(sk_c2) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 49.52/49.83 8 multiply(sk_c1,sk_c6) = sk_c5 | inverse(sk_c3) = sk_c5 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 49.52/49.83 9 inverse(sk_c1) = sk_c6 | multiply(sk_c5,sk_c6) = sk_c4 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 49.52/49.83 10 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c5) = sk_c6 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 49.52/49.83 11 inverse(sk_c1) = sk_c6 | multiply(sk_c3,sk_c4) = sk_c5 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 49.52/49.83 12 inverse(sk_c4) = sk_c5 | multiply(sk_c5,sk_c6) = sk_c4 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 49.52/49.83 13 inverse(sk_c4) = sk_c5 | multiply(sk_c2,sk_c5) = sk_c6 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 49.52/49.83 14 inverse(sk_c4) = sk_c5 | multiply(sk_c3,sk_c4) = sk_c5 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 49.52/49.83 16 multiply(sk_c6,sk_c4) = sk_c5 | inverse(sk_c3) = sk_c5 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 49.52/49.83 17 multiply(sk_c1,sk_c6) = sk_c5 | multiply(sk_c5,sk_c6) = sk_c4 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 49.52/49.83 19 multiply(sk_c1,sk_c6) = sk_c5 | multiply(sk_c3,sk_c4) = sk_c5 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 49.52/49.83 20 multiply(sk_c6,sk_c4) = sk_c5 | multiply(sk_c5,sk_c6) = sk_c4 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 49.52/49.83 21 multiply(sk_c6,sk_c4) = sk_c5 | multiply(sk_c2,sk_c5) = sk_c6 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 49.52/49.83 23 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 49.52/49.83 24 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | inverse(C) != sk_c5 | multiply(C,sk_c4) != sk_c5 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 49.52/49.83 30 inverse(sk_c1) = sk_c6 | multiply(sk_c6,sk_c2) = identity. [para(3(b,1),2(a,1,1))].
% 49.52/49.83 31 inverse(sk_c1) = sk_c6 | multiply(sk_c5,sk_c3) = identity. [para(4(b,1),2(a,1,1))].
% 49.52/49.83 32 inverse(sk_c4) = sk_c5 | multiply(sk_c6,sk_c2) = identity. [para(5(b,1),2(a,1,1))].
% 49.52/49.83 33 inverse(sk_c4) = sk_c5 | multiply(sk_c5,sk_c3) = identity. [para(6(b,1),2(a,1,1))].
% 49.52/49.83 34 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),23(a,1,1)),rewrite([1(2)]),flip(a)].
% 49.52/49.83 40 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c5,sk_c6)) = multiply(A,sk_c4). [para(9(b,1),23(a,2,2)),rewrite([23(8)])].
% 49.52/49.83 41 inverse(sk_c1) = sk_c6 | multiply(sk_c2,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(10(b,1),23(a,1,1)),flip(b)].
% 49.52/49.83 42 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c2,sk_c5)) = multiply(A,sk_c6). [para(10(b,1),23(a,2,2)),rewrite([23(8)])].
% 49.52/49.83 45 inverse(sk_c4) = sk_c5 | multiply(sk_c5,multiply(sk_c6,A)) = multiply(sk_c4,A). [para(12(b,1),23(a,1,1)),flip(b)].
% 49.52/49.83 46 inverse(sk_c4) = sk_c5 | multiply(A,multiply(sk_c5,sk_c6)) = multiply(A,sk_c4). [para(12(b,1),23(a,2,2)),rewrite([23(8)])].
% 49.52/49.83 61 multiply(sk_c5,sk_c6) = sk_c4 | multiply(sk_c6,multiply(sk_c4,A)) = multiply(sk_c5,A). [para(20(a,1),23(a,1,1)),flip(b)].
% 49.52/49.83 82 multiply(A,multiply(B,sk_c6)) != sk_c5 | inverse(multiply(A,B)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | inverse(C) != sk_c6 | multiply(C,sk_c5) != sk_c6 | inverse(D) != sk_c5 | multiply(D,sk_c4) != sk_c5. [para(23(a,1),24(a,1))].
% 49.52/49.83 83 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | inverse(multiply(B,C)) != sk_c6 | multiply(B,multiply(C,sk_c5)) != sk_c6 | inverse(D) != sk_c5 | multiply(D,sk_c4) != sk_c5. [para(23(a,1),24(g,1))].
% 49.52/49.83 117 multiply(A,multiply(B,sk_c6)) != sk_c5 | inverse(multiply(A,B)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(A,multiply(B,sk_c5)) != sk_c6 | inverse(C) != sk_c5 | multiply(C,sk_c4) != sk_c5. [factor(82,b,f),rewrite([23(26)])].
% 49.52/49.83 142 multiply(A,multiply(B,sk_c6)) != sk_c5 | inverse(multiply(A,B)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(A,multiply(B,sk_c5)) != sk_c6 | inverse(sk_c6) != sk_c5. [factor(117,d,h)].
% 49.52/49.83 163 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),34(a,1,2))].
% 49.52/49.83 165 inverse(sk_c4) = sk_c5 | multiply(sk_c6,multiply(sk_c2,A)) = A. [para(5(b,1),34(a,1,1))].
% 49.52/49.83 166 inverse(sk_c4) = sk_c5 | multiply(sk_c5,multiply(sk_c3,A)) = A. [para(6(b,1),34(a,1,1))].
% 49.52/49.83 171 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c3),sk_c5) = sk_c4. [para(11(b,1),34(a,1,2))].
% 49.52/49.83 172 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c5),sk_c4) = sk_c6. [para(12(b,1),34(a,1,2))].
% 49.52/49.83 173 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c2),sk_c6) = sk_c5. [para(13(b,1),34(a,1,2))].
% 49.52/49.83 174 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c3),sk_c5) = sk_c4. [para(14(b,1),34(a,1,2))].
% 49.52/49.83 176 inverse(sk_c3) = sk_c5 | multiply(inverse(sk_c6),sk_c5) = sk_c4. [para(16(a,1),34(a,1,2))].
% 49.52/49.83 184 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c6),identity) = sk_c2. [para(30(b,1),34(a,1,2))].
% 49.52/49.83 185 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(34(a,1),34(a,1,2))].
% 49.52/49.83 186 multiply(A,identity) = A. [back_rewrite(163),rewrite([185(4)])].
% 49.52/49.83 187 inverse(sk_c1) = sk_c6 | inverse(sk_c6) = sk_c2. [back_rewrite(184),rewrite([186(8)])].
% 49.52/49.83 189 inverse(identity) = identity. [para(186(a,1),2(a,1))].
% 49.52/49.83 211 inverse(sk_c1) = sk_c6 | inverse(sk_c5) = sk_c3. [para(31(b,1),34(a,1,2)),rewrite([186(8)])].
% 49.52/49.83 220 inverse(sk_c4) = sk_c5 | multiply(A,multiply(sk_c5,sk_c3)) = A. [para(33(b,1),23(a,2,2)),rewrite([23(8),186(10)])].
% 49.52/49.83 227 multiply(A,inverse(A)) = identity. [para(185(a,1),2(a,1))].
% 49.52/49.83 243 multiply(A,multiply(inverse(A),B)) = B. [para(185(a,1),34(a,1))].
% 49.52/49.83 244 inverse(inverse(A)) = A. [para(185(a,1),186(a,1)),rewrite([186(2)]),flip(a)].
% 49.52/49.83 259 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c6) = identity. [para(3(b,1),227(a,1,2))].
% 49.52/49.83 261 inverse(sk_c4) = sk_c5 | multiply(sk_c2,sk_c6) = identity. [para(5(b,1),227(a,1,2))].
% 49.52/49.83 262 inverse(sk_c4) = sk_c5 | multiply(sk_c3,sk_c5) = identity. [para(6(b,1),227(a,1,2))].
% 49.52/49.83 263 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(227(a,1),23(a,1)),flip(a)].
% 49.52/49.83 264 inverse(sk_c6) = sk_c2 | multiply(sk_c1,sk_c6) = identity. [para(187(a,1),227(a,1,2))].
% 49.52/49.83 265 inverse(sk_c5) = sk_c3 | multiply(sk_c1,sk_c6) = identity. [para(211(a,1),227(a,1,2))].
% 49.52/49.83 284 inverse(sk_c1) = sk_c6 | multiply(sk_c3,multiply(sk_c5,A)) = A. [para(4(b,1),243(a,1,2,1))].
% 49.52/49.83 286 inverse(sk_c4) = sk_c5 | multiply(sk_c3,multiply(sk_c5,A)) = A. [para(6(b,1),243(a,1,2,1))].
% 49.52/49.83 447 inverse(sk_c4) = sk_c5 | multiply(A,multiply(sk_c2,sk_c6)) = A. [para(261(b,1),23(a,2,2)),rewrite([23(8),186(10)])].
% 49.52/49.83 448 inverse(sk_c4) = sk_c5 | multiply(A,multiply(sk_c3,sk_c5)) = A. [para(262(b,1),23(a,2,2)),rewrite([23(8),186(10)])].
% 49.52/49.83 483 inverse(sk_c6) = sk_c2 | identity = sk_c5 | inverse(sk_c2) = sk_c6. [para(264(b,1),7(a,1))].
% 49.52/49.83 490 inverse(sk_c5) = sk_c3 | identity = sk_c5 | inverse(sk_c3) = sk_c5. [para(265(b,1),8(a,1))].
% 49.52/49.83 527 inverse(sk_c1) = sk_c6 | multiply(sk_c2,multiply(sk_c5,sk_c2)) = identity. [para(30(b,1),41(b,2)),merge(b)].
% 49.52/49.83 574 inverse(sk_c1) = sk_c6 | multiply(sk_c5,multiply(sk_c2,sk_c5)) = sk_c4. [para(9(b,1),42(b,2)),merge(b)].
% 49.52/49.83 581 inverse(sk_c1) = sk_c6 | multiply(sk_c2,multiply(sk_c2,sk_c5)) = identity. [para(259(b,1),42(b,2)),merge(b)].
% 49.52/49.83 933 inverse(sk_c1) = sk_c6 | multiply(sk_c5,sk_c5) = sk_c4. [para(4(b,1),171(b,1,1)),merge(b)].
% 49.52/49.83 955 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c5),sk_c4) = sk_c5. [para(933(b,1),34(a,1,2))].
% 49.52/49.83 974 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c5),multiply(sk_c4,A)) = multiply(sk_c6,A). [para(172(b,1),23(a,1,1)),flip(b)].
% 49.52/49.83 978 inverse(sk_c4) = sk_c5 | multiply(sk_c4,sk_c2) = sk_c5. [para(32(b,1),45(b,1,2)),rewrite([186(11)]),flip(c),merge(b)].
% 49.52/49.83 1060 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c4),sk_c5) = sk_c2. [para(978(b,1),34(a,1,2))].
% 49.52/49.83 1061 inverse(sk_c4) = sk_c5 | multiply(sk_c6,sk_c6) = sk_c5. [para(5(b,1),173(b,1,1)),merge(b)].
% 49.52/49.83 1064 inverse(sk_c4) = sk_c5 | multiply(sk_c6,multiply(sk_c6,A)) = multiply(sk_c5,A). [para(1061(b,1),23(a,1,1)),flip(b)].
% 49.52/49.83 1068 inverse(sk_c4) = sk_c5 | multiply(sk_c5,sk_c5) = sk_c4. [para(6(b,1),174(b,1,1)),merge(b)].
% 49.52/49.83 1073 inverse(sk_c4) = sk_c5 | multiply(sk_c3,multiply(sk_c5,sk_c6)) = sk_c5. [para(14(b,1),46(b,2)),merge(b)].
% 49.52/49.83 1202 inverse(sk_c4) = sk_c5 | multiply(sk_c5,multiply(sk_c5,A)) = multiply(sk_c4,A). [para(1068(b,1),23(a,1,1)),flip(b)].
% 49.52/49.83 1204 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c5),sk_c4) = sk_c5. [para(1068(b,1),34(a,1,2))].
% 49.52/49.83 1275 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(263(a,1),34(a,1,2)),rewrite([186(3)]),flip(a)].
% 49.52/49.83 1421 inverse(sk_c4) = sk_c5 | multiply(sk_c5,inverse(sk_c6)) = inverse(sk_c2). [para(13(b,1),1275(a,1,2,1))].
% 49.52/49.83 1427 multiply(sk_c1,sk_c6) = sk_c5 | multiply(sk_c4,inverse(sk_c5)) = inverse(sk_c3). [para(19(b,1),1275(a,1,2,1))].
% 49.52/49.83 1434 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(1275(a,1),34(a,1,2)),flip(a)].
% 49.52/49.83 1440 inverse(sk_c4) = sk_c5 | multiply(sk_c6,inverse(sk_c5)) = inverse(sk_c6). [para(1061(b,1),1275(a,1,2,1))].
% 49.52/49.83 1441 inverse(sk_c4) = sk_c5 | multiply(sk_c5,inverse(sk_c4)) = sk_c3. [para(174(b,1),1275(a,1,2,1)),rewrite([244(11)])].
% 49.52/49.83 1444 inverse(sk_c3) = sk_c5 | multiply(sk_c5,inverse(sk_c4)) = sk_c6. [para(176(b,1),1275(a,1,2,1)),rewrite([244(11)])].
% 49.52/49.83 1889 multiply(A,multiply(B,sk_c6)) != sk_c5 | multiply(inverse(B),inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(A,multiply(B,sk_c5)) != sk_c6 | inverse(sk_c6) != sk_c5. [back_rewrite(142),rewrite([1434(7)])].
% 49.52/49.83 1898 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(B),inverse(C)) != sk_c6 | multiply(C,multiply(B,sk_c5)) != sk_c6 | inverse(D) != sk_c5 | multiply(D,sk_c4) != sk_c5. [back_rewrite(83),rewrite([1434(23)])].
% 49.52/49.83 2034 inverse(sk_c1) = sk_c6 | sk_c6 = sk_c5. [para(955(b,1),40(b,2)),rewrite([34(14)]),merge(b)].
% 49.52/49.83 2038 sk_c6 = sk_c5 | multiply(sk_c1,sk_c6) = identity. [para(2034(a,1),227(a,1,2))].
% 49.52/49.83 2097 sk_c6 = sk_c5 | identity = sk_c5 | inverse(sk_c3) = sk_c5. [para(2038(b,1),8(a,1))].
% 49.52/49.83 2163 inverse(sk_c4) = sk_c5 | sk_c6 = sk_c5. [para(1204(b,1),172(b,1)),flip(c),merge(b)].
% 49.52/49.83 2164 sk_c6 = sk_c5 | multiply(sk_c5,sk_c4) = identity. [para(2163(a,1),2(a,1,1))].
% 49.52/49.83 2166 sk_c6 = sk_c5 | inverse(sk_c5) = sk_c4. [para(2163(a,1),244(a,1,1))].
% 49.52/49.83 2380 multiply(sk_c5,sk_c6) = sk_c4 | multiply(inverse(sk_c4),inverse(sk_c6)) = inverse(sk_c5). [para(20(a,1),1434(a,1,1)),flip(b)].
% 49.52/49.83 2477 sk_c6 = sk_c5 | multiply(inverse(sk_c4),inverse(sk_c5)) = identity. [para(2164(b,1),1434(a,1,1)),rewrite([189(5)]),flip(b)].
% 49.52/49.83 2740 sk_c6 = sk_c5 | identity = sk_c5 | inverse(sk_c5) = sk_c3. [para(2097(c,1),244(a,1,1))].
% 49.52/49.83 3209 sk_c6 = sk_c5 | identity = sk_c5 | sk_c3 = sk_c4. [para(2740(c,1),2166(b,1)),merge(c)].
% 49.52/49.83 3216 sk_c6 = sk_c5 | sk_c3 = sk_c4 | inverse(sk_c5) = identity. [para(3209(b,1),189(a,1,1))].
% 49.52/49.83 3636 multiply(sk_c5,sk_c6) = sk_c4 | multiply(sk_c5,inverse(sk_c4)) = sk_c6. [para(227(a,1),61(b,1,2)),rewrite([186(8)]),flip(b)].
% 49.52/49.83 3766 sk_c6 = sk_c5 | sk_c3 = sk_c4 | inverse(sk_c4) = identity. [para(3216(c,1),2477(b,1,2)),rewrite([186(13)]),merge(c)].
% 49.52/49.83 4031 sk_c6 = sk_c5 | sk_c3 = sk_c4 | inverse(sk_c3) = sk_c5. [para(3766(c,1),1444(b,1,2)),rewrite([186(13)]),flip(d),merge(d)].
% 49.52/49.83 4242 sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(A,multiply(inverse(sk_c6),sk_c5)) != sk_c6 | inverse(sk_c6) != sk_c5. [para(2(a,1),1889(a,1,2)),rewrite([186(2),244(5)]),flip(a)].
% 49.52/49.83 4414 sk_c6 = sk_c5 | sk_c3 = sk_c4 | inverse(sk_c5) = sk_c3. [para(4031(c,1),244(a,1,1))].
% 49.52/49.83 4475 multiply(A,B) != sk_c5 | multiply(sk_c6,multiply(inverse(B),inverse(A))) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(A,multiply(B,multiply(inverse(sk_c6),sk_c5))) != sk_c6 | inverse(sk_c6) != sk_c5. [para(23(a,1),4242(f,1)),rewrite([1434(6)]),flip(a)].
% 49.52/49.83 4484 multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c6,multiply(inverse(sk_c4),inverse(sk_c6))) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(sk_c6,multiply(sk_c4,multiply(inverse(sk_c6),sk_c5))) != sk_c6 | inverse(sk_c6) != sk_c5. [factor(4475,a,d)].
% 49.52/49.83 4875 sk_c6 = sk_c5 | sk_c3 = sk_c4. [para(4414(c,1),2166(b,1)),merge(c),merge(d)].
% 49.52/49.83 5967 inverse(sk_c4) = sk_c5 | multiply(sk_c3,sk_c4) = sk_c6. [para(12(b,1),286(b,1,2)),merge(b)].
% 49.52/49.83 5977 inverse(sk_c4) = sk_c5 | multiply(inverse(sk_c3),sk_c6) = sk_c4. [para(5967(b,1),34(a,1,2))].
% 49.52/49.83 6514 inverse(sk_c6) = sk_c2 | identity = sk_c5. [para(483(c,1),244(a,1,1)),merge(c)].
% 49.52/49.83 6850 inverse(sk_c5) = sk_c3 | identity = sk_c5. [para(490(c,1),244(a,1,1)),merge(c)].
% 49.52/49.83 6853 identity = sk_c5 | inverse(sk_c3) = sk_c5. [para(6850(a,1),244(a,1,1))].
% 49.52/49.83 7179 inverse(sk_c1) = sk_c6 | multiply(sk_c5,sk_c2) = inverse(sk_c2). [para(527(b,1),34(a,1,2)),rewrite([186(8)]),flip(b)].
% 49.52/49.83 7330 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c5) = inverse(sk_c2). [para(581(b,1),34(a,1,2)),rewrite([186(8)]),flip(b)].
% 49.52/49.83 7337 inverse(sk_c1) = sk_c6 | multiply(sk_c5,inverse(sk_c2)) = sk_c4. [para(7330(b,1),574(b,1,2)),merge(b)].
% 49.52/49.83 7347 inverse(sk_c1) = sk_c6 | multiply(sk_c3,sk_c4) = inverse(sk_c2). [para(7337(b,1),284(b,1,2)),merge(b)].
% 49.52/49.83 7360 inverse(sk_c1) = sk_c6 | inverse(sk_c2) = sk_c5. [para(7347(b,1),11(b,1)),merge(b)].
% 49.52/49.83 7367 inverse(sk_c1) = sk_c6 | multiply(sk_c5,sk_c2) = identity. [para(7360(b,1),2(a,1,1))].
% 49.52/49.83 7460 inverse(sk_c1) = sk_c6 | inverse(sk_c2) = identity. [para(7367(b,1),7179(b,1)),flip(c),merge(b)].
% 49.52/49.83 7725 inverse(sk_c1) = sk_c6 | identity = sk_c5. [para(7460(b,1),7360(b,1)),merge(b)].
% 49.52/49.83 7768 identity = sk_c5 | multiply(sk_c1,sk_c6) = identity. [para(7725(a,1),227(a,1,2))].
% 49.52/49.83 8179 identity = sk_c5 | multiply(sk_c5,sk_c6) = sk_c4. [para(7768(b,1),17(a,1)),merge(b)].
% 49.52/49.83 8413 identity = sk_c5 | multiply(inverse(sk_c5),sk_c4) = sk_c6. [para(8179(b,1),34(a,1,2))].
% 49.52/49.83 8810 identity = sk_c5 | multiply(inverse(sk_c4),sk_c5) = inverse(sk_c6). [para(8413(b,1),1434(a,1,1)),rewrite([244(10)]),flip(b)].
% 49.52/49.83 12806 identity = sk_c5 | multiply(inverse(sk_c4),sk_c5) = sk_c2. [para(6514(a,1),8810(b,2)),merge(b)].
% 49.52/49.83 12847 identity = sk_c5 | multiply(inverse(sk_c5),sk_c4) = inverse(sk_c2). [para(12806(b,1),1434(a,1,1)),rewrite([244(10)]),flip(b)].
% 49.52/49.83 19062 inverse(sk_c4) = sk_c5 | multiply(sk_c4,sk_c3) = sk_c5. [para(33(b,1),1202(b,1,2)),rewrite([186(11)]),flip(c),merge(b)].
% 49.52/49.83 19087 inverse(sk_c4) = sk_c5 | multiply(sk_c6,sk_c3) = identity. [para(19062(b,1),974(b,1,2)),rewrite([2(12)]),flip(c),merge(b)].
% 49.52/49.83 19109 inverse(sk_c4) = sk_c5 | multiply(sk_c5,sk_c3) = sk_c6. [para(19087(b,1),1064(b,1,2)),rewrite([186(11)]),flip(c),merge(b)].
% 49.52/49.83 19362 inverse(sk_c4) = sk_c5 | multiply(A,sk_c6) = A. [para(19109(b,1),220(b,1,2)),merge(b)].
% 49.52/49.83 19505 inverse(sk_c4) = sk_c5 | inverse(sk_c2) = sk_c5. [para(19362(b,1),173(b,1)),merge(b)].
% 49.52/49.83 19515 inverse(sk_c4) = sk_c5 | inverse(sk_c3) = sk_c4. [para(19362(b,1),5977(b,1)),merge(b)].
% 49.52/49.83 19516 inverse(sk_c4) = sk_c5 | multiply(A,sk_c2) = A. [para(19362(b,1),447(b,1,2)),merge(b)].
% 49.52/49.83 19609 inverse(sk_c4) = sk_c5 | multiply(sk_c3,sk_c5) = sk_c5. [para(19362(b,1),1073(b,1,2)),merge(b)].
% 49.52/49.83 19731 inverse(sk_c4) = sk_c5 | inverse(sk_c4) = sk_c3. [para(19515(b,1),244(a,1,1))].
% 49.52/49.83 19850 inverse(sk_c4) = sk_c5 | multiply(sk_c5,sk_c3) = sk_c3. [para(19731(b,1),1441(b,1,2)),merge(b)].
% 49.52/49.83 19940 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(sk_c5,inverse(B)) != sk_c6 | sk_c6 != B | inverse(C) != sk_c5 | multiply(C,sk_c4) != sk_c5. [para(2(a,1),1898(g,1,2)),rewrite([244(24),186(28)]),flip(g)].
% 49.52/49.83 19978 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(sk_c5,B) != sk_c6 | inverse(B) != sk_c6 | inverse(C) != sk_c5 | multiply(C,sk_c4) != sk_c5. [para(244(a,1),19940(f,1,2)),flip(g)].
% 49.52/49.83 19988 inverse(sk_c4) = sk_c5 | inverse(sk_c2) = identity. [para(19516(b,1),2(a,1))].
% 49.52/49.83 20036 inverse(sk_c4) = sk_c5 | multiply(sk_c2,A) = A. [para(19988(b,1),34(a,1,1)),rewrite([1(8)])].
% 49.52/49.83 20041 inverse(sk_c4) = sk_c5 | identity = sk_c5. [para(19988(b,1),19505(b,1)),merge(b)].
% 49.52/49.83 20044 identity = sk_c5 | inverse(sk_c5) = sk_c4. [para(20041(a,1),244(a,1,1))].
% 49.52/49.83 20064 identity = sk_c5 | multiply(sk_c4,sk_c4) = sk_c6. [para(20044(b,1),8413(b,1,1)),merge(b)].
% 49.52/49.83 20066 identity = sk_c5 | multiply(sk_c4,sk_c4) = inverse(sk_c2). [para(20044(b,1),12847(b,1,1)),merge(b)].
% 49.52/49.83 20265 multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | inverse(B) != sk_c5 | multiply(B,sk_c4) != sk_c5. [resolve(19978,f,243,a),rewrite([1434(26),244(26)])].
% 49.52/49.83 20269 multiply(A,multiply(B,sk_c6)) != sk_c5 | multiply(inverse(B),inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | inverse(C) != sk_c5 | multiply(C,sk_c4) != sk_c5. [para(23(a,1),20265(a,1)),rewrite([1434(7)])].
% 49.52/49.83 20914 inverse(sk_c4) = sk_c5 | multiply(A,sk_c5) = A. [para(19609(b,1),448(b,1,2)),merge(b)].
% 49.52/49.83 20917 sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | inverse(B) != sk_c5 | multiply(B,sk_c4) != sk_c5. [para(2(a,1),20269(a,1,2)),rewrite([186(2),244(5)]),flip(a)].
% 49.52/49.83 20920 sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(inverse(B),inverse(C)) != sk_c5 | multiply(C,multiply(B,sk_c4)) != sk_c5. [para(23(a,1),20917(h,1)),rewrite([1434(29)])].
% 49.52/49.83 21044 inverse(sk_c4) = sk_c5 | multiply(A,sk_c3) = A. [para(19850(b,1),220(b,1,2)),merge(b)].
% 49.52/49.83 21079 sk_c5 != A | multiply(sk_c6,inverse(A)) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,inverse(B)) != sk_c5 | sk_c5 != B. [para(2(a,1),20920(h,1,2)),rewrite([244(30),186(34)]),flip(h)].
% 49.52/49.83 21109 inverse(A) != sk_c5 | multiply(sk_c6,A) != sk_c6 | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,inverse(B)) != sk_c5 | sk_c5 != B. [para(244(a,1),21079(b,1,2)),flip(a)].
% 49.52/49.83 21115 multiply(inverse(A),sk_c6) != sk_c5 | sk_c6 != A | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,inverse(B)) != sk_c5 | sk_c5 != B. [para(243(a,1),21109(b,1)),rewrite([1434(4),244(4)]),flip(b)].
% 49.52/49.83 21131 inverse(sk_c4) = sk_c5 | multiply(sk_c6,A) = A. [para(20036(b,1),165(b,1,2)),merge(b)].
% 49.52/49.83 21149 multiply(inverse(A),sk_c6) != sk_c5 | sk_c6 != A | inverse(sk_c4) != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,multiply(inverse(B),inverse(C))) != sk_c5 | multiply(C,B) != sk_c5. [para(1434(a,1),21115(g,1,2)),flip(h)].
% 49.52/49.83 21939 inverse(sk_c4) = sk_c5 | inverse(sk_c4) = sk_c2. [para(20914(b,1),1060(b,1)),merge(b)].
% 49.52/49.83 21986 inverse(sk_c4) = sk_c5 | inverse(sk_c2) = sk_c4. [para(21939(b,1),244(a,1,1))].
% 49.52/49.83 22013 multiply(sk_c4,inverse(sk_c5)) = inverse(sk_c3) | identity = sk_c5. [para(1427(a,1),7768(b,1)),flip(c),merge(c)].
% 49.52/49.83 22448 inverse(sk_c4) = sk_c5 | inverse(sk_c3) = identity. [para(21044(b,1),2(a,1))].
% 49.52/49.83 22466 inverse(sk_c4) = sk_c5 | multiply(sk_c3,A) = A. [para(22448(b,1),34(a,1,1)),rewrite([1(8)])].
% 49.52/49.83 22531 inverse(sk_c4) = sk_c5 | inverse(sk_c6) = inverse(sk_c5). [para(21131(b,1),1440(b,1)),flip(c),merge(b)].
% 49.52/49.83 23114 inverse(sk_c4) = sk_c5 | multiply(sk_c5,A) = A. [para(22466(b,1),166(b,1,2)),merge(b)].
% 49.52/49.83 23165 inverse(sk_c6) = inverse(sk_c5) | inverse(sk_c5) = sk_c4. [para(22531(a,1),244(a,1,1))].
% 49.52/49.83 23447 inverse(sk_c4) = sk_c5 | inverse(sk_c2) = inverse(sk_c6). [para(23114(b,1),1421(b,1)),flip(c),merge(b)].
% 49.52/49.83 23642 inverse(sk_c4) = sk_c5 | inverse(sk_c6) = sk_c4. [para(23447(b,1),21986(b,1)),merge(b)].
% 49.52/49.83 23645 inverse(sk_c6) = sk_c4 | inverse(sk_c5) = sk_c4. [para(23642(a,1),244(a,1,1))].
% 49.52/49.83 23653 inverse(sk_c5) = sk_c4. [para(23645(a,1),23165(a,1)),flip(b),merge(b),merge(c)].
% 49.52/49.83 23692 multiply(sk_c4,sk_c4) = inverse(sk_c3) | identity = sk_c5. [back_rewrite(22013),rewrite([23653(3)])].
% 49.52/49.83 24148 multiply(sk_c5,sk_c6) = sk_c4 | multiply(inverse(sk_c4),inverse(sk_c6)) = sk_c4. [back_rewrite(2380),rewrite([23653(12)])].
% 49.52/49.83 24217 multiply(sk_c4,sk_c5) = identity. [para(23653(a,1),2(a,1,1))].
% 49.52/49.83 24219 inverse(sk_c4) = sk_c5. [para(23653(a,1),244(a,1,1))].
% 49.52/49.83 24220 multiply(sk_c5,sk_c4) = identity. [para(23653(a,1),227(a,1,2))].
% 49.52/49.83 25598 multiply(sk_c4,sk_c6) != sk_c5 | sk_c6 != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,multiply(inverse(A),inverse(B))) != sk_c5 | multiply(B,A) != sk_c5. [para(23653(a,1),21149(a,1,1)),rewrite([24219(10)]),xx(c)].
% 49.52/49.83 26073 multiply(sk_c5,sk_c6) = sk_c4 | multiply(sk_c5,inverse(sk_c6)) = sk_c4. [back_rewrite(24148),rewrite([24219(7)])].
% 49.52/49.83 28627 multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c6,multiply(sk_c5,inverse(sk_c6))) != sk_c6 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(sk_c6,multiply(sk_c4,multiply(inverse(sk_c6),sk_c5))) != sk_c6 | inverse(sk_c6) != sk_c5. [back_rewrite(4484),rewrite([24219(8),24219(15)]),xx(c)].
% 49.52/49.83 28755 multiply(sk_c5,sk_c6) = sk_c4 | multiply(sk_c5,sk_c5) = sk_c6. [back_rewrite(3636),rewrite([24219(8)])].
% 49.52/49.83 29469 multiply(sk_c4,sk_c6) != sk_c5 | sk_c6 != sk_c5 | multiply(sk_c6,sk_c4) != sk_c5 | multiply(sk_c5,sk_c6) != sk_c4 | multiply(inverse(sk_c6),sk_c5) != sk_c6 | multiply(sk_c4,multiply(inverse(sk_c6),sk_c5)) != sk_c5. [factor(25598,a,g),rewrite([24219(29)])].
% 49.52/49.83 29983 identity = sk_c5 | multiply(sk_c4,sk_c4) = sk_c5. [para(6853(b,1),23692(a,2)),merge(c)].
% 49.52/49.83 29984 identity = sk_c5 | inverse(sk_c3) = sk_c6. [para(23692(a,1),20064(b,1)),merge(b)].
% 49.52/49.83 29994 sk_c6 = sk_c5 | identity = sk_c5. [para(4875(b,1),29984(b,1,1)),rewrite([24219(8)]),flip(c),merge(c)].
% 49.52/49.83 30011 sk_c6 = sk_c5 | multiply(sk_c5,A) = A. [para(29994(b,1),1(a,1,1))].
% 49.52/49.83 30012 sk_c6 = sk_c5 | multiply(A,sk_c5) = A. [para(29994(b,1),186(a,1,2))].
% 49.52/49.83 30013 sk_c6 = sk_c5 | identity = sk_c4. [para(29994(b,1),189(a,1,1)),rewrite([23653(5)]),flip(b)].
% 49.52/49.83 30106 sk_c6 = sk_c5 | sk_c4 = sk_c5. [para(30013(b,1),29994(b,1)),merge(b)].
% 49.52/49.83 30562 identity = sk_c5 | inverse(sk_c2) = sk_c5. [para(29983(b,1),20066(b,1)),flip(c),merge(b)].
% 49.52/49.83 30567 identity = sk_c5 | multiply(sk_c2,sk_c5) = identity. [para(30562(b,1),227(a,1,2))].
% 49.52/49.83 30871 sk_c6 = sk_c5 | multiply(sk_c5,sk_c6) = sk_c4. [para(30012(b,1),61(b,2)),rewrite([24217(12),186(11)]),merge(c)].
% 49.52/49.83 31017 identity = sk_c5 | multiply(sk_c6,sk_c4) = sk_c5 | identity = sk_c6. [para(30567(b,1),21(b,1))].
% 49.52/49.83 31273 sk_c6 = sk_c5 | sk_c4 = sk_c6. [para(30871(b,1),30011(b,1)),merge(b)].
% 49.52/49.83 31285 sk_c6 = sk_c5. [para(31273(b,1),30106(b,1)),merge(b),merge(c)].
% 49.52/49.83 31350 identity = sk_c5. [back_rewrite(31017),rewrite([31285(4),24220(6),31285(8)]),merge(b),merge(c)].
% 49.52/49.83 31722 multiply(sk_c5,sk_c5) != sk_c4. [back_rewrite(29469),rewrite([31285(2),24217(3),31350(1),31285(4),31285(7),24220(9),31350(7),31285(11),31285(15),23653(16),24217(17),31350(15),31285(16),31285(19),23653(20),24217(21),31350(19),24217(20),31350(18)]),xx(a),xx(b),xx(c),xx(e),xx(f)].
% 49.52/49.83 31733 multiply(sk_c5,sk_c5) = sk_c5. [back_rewrite(28755),rewrite([31285(2),31285(9)]),unit_del(a,31722)].
% 49.52/49.83 31756 sk_c4 != sk_c5. [back_rewrite(28627),rewrite([31285(1),24220(3),31350(1),31285(4),31285(6),23653(7),24220(7),31350(5),31733(6),31285(5),31285(8),31733(9),31285(10),31285(12),23653(13),24217(14),31350(12),24217(13),31350(11),31733(12),31285(11),31285(13),23653(14)]),flip(c),xx(a),xx(b),xx(d),merge(b)].
% 49.52/49.83 31779 $F. [back_rewrite(26073),rewrite([31285(2),31733(3),31285(5),23653(6),24220(6),31350(4)]),flip(a),flip(b),merge(b),unit_del(a,31756)].
% 49.52/49.83
% 49.52/49.83 % SZS output end Refutation
% 49.52/49.83 ============================== end of proof ==========================
% 49.52/49.83
% 49.52/49.83 ============================== STATISTICS ============================
% 49.52/49.83
% 49.52/49.83 Given=4751. Generated=2404216. Kept=31778. proofs=1.
% 49.52/49.83 Usable=1286. Sos=4836. Demods=24. Limbo=494, Disabled=25186. Hints=0.
% 49.52/49.83 Megabytes=28.36.
% 49.52/49.83 User_CPU=47.52, System_CPU=1.34, Wall_clock=49.
% 49.52/49.83
% 49.52/49.83 ============================== end of statistics =====================
% 49.52/49.83
% 49.52/49.83 ============================== end of search =========================
% 49.52/49.83
% 49.52/49.83 THEOREM PROVED
% 49.52/49.83 % SZS status Unsatisfiable
% 49.52/49.83
% 49.52/49.83 Exiting with 1 proof.
% 49.52/49.83
% 49.52/49.83 Process 32677 exit (max_proofs) Tue Jun 14 00:53:24 2022
% 49.52/49.83 Prover9 interrupted
%------------------------------------------------------------------------------