TSTP Solution File: GRP385-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP385-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:18:52 EDT 2022
% Result : Unsatisfiable 88.18s 88.42s
% Output : Refutation 88.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP385-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 14 02:21:23 EDT 2022
% 0.14/0.33 % CPUTime :
% 9.72/9.98 ============================== Prover9 ===============================
% 9.72/9.98 Prover9 (32) version 2009-11A, November 2009.
% 9.72/9.98 Process 23548 was started by sandbox2 on n028.cluster.edu,
% 9.72/9.98 Tue Jun 14 02:21:24 2022
% 9.72/9.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23395_n028.cluster.edu".
% 9.72/9.98 ============================== end of head ===========================
% 9.72/9.98
% 9.72/9.98 ============================== INPUT =================================
% 9.72/9.98
% 9.72/9.98 % Reading from file /tmp/Prover9_23395_n028.cluster.edu
% 9.72/9.98
% 9.72/9.98 set(prolog_style_variables).
% 9.72/9.98 set(auto2).
% 9.72/9.98 % set(auto2) -> set(auto).
% 9.72/9.98 % set(auto) -> set(auto_inference).
% 9.72/9.98 % set(auto) -> set(auto_setup).
% 9.72/9.98 % set(auto_setup) -> set(predicate_elim).
% 9.72/9.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 9.72/9.98 % set(auto) -> set(auto_limits).
% 9.72/9.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 9.72/9.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 9.72/9.98 % set(auto) -> set(auto_denials).
% 9.72/9.98 % set(auto) -> set(auto_process).
% 9.72/9.98 % set(auto2) -> assign(new_constants, 1).
% 9.72/9.98 % set(auto2) -> assign(fold_denial_max, 3).
% 9.72/9.98 % set(auto2) -> assign(max_weight, "200.000").
% 9.72/9.98 % set(auto2) -> assign(max_hours, 1).
% 9.72/9.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 9.72/9.98 % set(auto2) -> assign(max_seconds, 0).
% 9.72/9.98 % set(auto2) -> assign(max_minutes, 5).
% 9.72/9.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 9.72/9.98 % set(auto2) -> set(sort_initial_sos).
% 9.72/9.98 % set(auto2) -> assign(sos_limit, -1).
% 9.72/9.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 9.72/9.98 % set(auto2) -> assign(max_megs, 400).
% 9.72/9.98 % set(auto2) -> assign(stats, some).
% 9.72/9.98 % set(auto2) -> clear(echo_input).
% 9.72/9.98 % set(auto2) -> set(quiet).
% 9.72/9.98 % set(auto2) -> clear(print_initial_clauses).
% 9.72/9.98 % set(auto2) -> clear(print_given).
% 9.72/9.98 assign(lrs_ticks,-1).
% 9.72/9.98 assign(sos_limit,10000).
% 9.72/9.98 assign(order,kbo).
% 9.72/9.98 set(lex_order_vars).
% 9.72/9.98 clear(print_given).
% 9.72/9.98
% 9.72/9.98 % formulas(sos). % not echoed (45 formulas)
% 9.72/9.98
% 9.72/9.98 ============================== end of input ==========================
% 9.72/9.98
% 9.72/9.98 % From the command line: assign(max_seconds, 300).
% 9.72/9.98
% 9.72/9.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 9.72/9.98
% 9.72/9.98 % Formulas that are not ordinary clauses:
% 9.72/9.98
% 9.72/9.98 ============================== end of process non-clausal formulas ===
% 9.72/9.98
% 9.72/9.98 ============================== PROCESS INITIAL CLAUSES ===============
% 9.72/9.98
% 9.72/9.98 ============================== PREDICATE ELIMINATION =================
% 9.72/9.98
% 9.72/9.98 ============================== end predicate elimination =============
% 9.72/9.98
% 9.72/9.98 Auto_denials: (non-Horn, no changes).
% 9.72/9.98
% 9.72/9.98 Term ordering decisions:
% 9.72/9.98
% 9.72/9.98 % Assigning unary symbol inverse kb_weight 0 and highest precedence (14).
% 9.72/9.98 Function symbol KB weights: sk_c10=1. sk_c9=1. sk_c8=1. sk_c1=1. sk_c2=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 9.72/9.98
% 9.72/9.98 ============================== end of process initial clauses ========
% 9.72/9.98
% 9.72/9.98 ============================== CLAUSES FOR SEARCH ====================
% 9.72/9.98
% 9.72/9.98 ============================== end of clauses for search =============
% 9.72/9.98
% 9.72/9.98 ============================== SEARCH ================================
% 9.72/9.98
% 9.72/9.98 % Starting search at 0.03 seconds.
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=36.000, iters=3357
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=35.000, iters=3340
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=34.000, iters=3341
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=33.000, iters=3342
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=32.000, iters=3336
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=31.000, iters=3334
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=30.000, iters=3345
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=29.000, iters=3362
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=28.000, iters=3368
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=27.000, iters=3369
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=26.000, iters=3370
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=25.000, iters=3386
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=24.000, iters=3395
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=23.000, iters=3377
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=20.000, iters=3341
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=19.000, iters=3335
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=18.000, iters=3340
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=17.000, iters=3339
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=16.000, iters=3339
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=15.000, iters=3340
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=14.000, iters=3370
% 9.72/9.98
% 9.72/9.98 Low Water (keep): wt=13.000, iters=3344
% 9.72/9.98
% 9.72/9.98 Low Water (displace): id=4550, wt=48.000
% 9.72/9.98
% 9.72/9.98 Low Water (displace): id=4582, wt=47.000
% 9.72/9.98
% 9.72/9.98 Low Water (displace): id=15056, wt=11.000
% 9.72/9.98
% 9.72/9.98 Low Water (displace): id=15087, wt=10.000
% 88.18/88.42
% 88.18/88.42 ============================== PROOF =================================
% 88.18/88.42 % SZS status Unsatisfiable
% 88.18/88.42 % SZS output start Refutation
% 88.18/88.42
% 88.18/88.42 % Proof 1 at 85.05 (+ 2.40) seconds.
% 88.18/88.42 % Length of proof is 221.
% 88.18/88.42 % Level of proof is 30.
% 88.18/88.42 % Maximum clause weight is 66.000.
% 88.18/88.42 % Given clauses 6093.
% 88.18/88.42
% 88.18/88.42 1 inverse(sk_c10) = sk_c9 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 88.18/88.42 2 sk_c9 = inverse(sk_c10). [copy(1),flip(a)].
% 88.18/88.42 3 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 88.18/88.42 4 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 88.18/88.42 5 inverse(sk_c1) = sk_c10 | inverse(sk_c3) = sk_c10 # label(prove_this_36) # label(negated_conjecture). [assumption].
% 88.18/88.42 6 inverse(sk_c1) = sk_c10 | inverse(sk_c5) = sk_c6 # label(prove_this_38) # label(negated_conjecture). [assumption].
% 88.18/88.42 7 inverse(sk_c1) = sk_c10 | inverse(sk_c7) = sk_c10 # label(prove_this_40) # label(negated_conjecture). [assumption].
% 88.18/88.42 8 multiply(sk_c9,sk_c8) = sk_c10 | inverse(sk_c3) = sk_c10 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 88.18/88.42 9 multiply(inverse(sk_c10),sk_c8) = sk_c10 | inverse(sk_c3) = sk_c10. [copy(8),rewrite([2(1)])].
% 88.18/88.42 10 multiply(sk_c9,sk_c8) = sk_c10 | inverse(sk_c5) = sk_c6 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 88.18/88.42 11 multiply(inverse(sk_c10),sk_c8) = sk_c10 | inverse(sk_c5) = sk_c6. [copy(10),rewrite([2(1)])].
% 88.18/88.42 12 multiply(sk_c9,sk_c8) = sk_c10 | inverse(sk_c7) = sk_c10 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 88.18/88.42 13 multiply(inverse(sk_c10),sk_c8) = sk_c10 | inverse(sk_c7) = sk_c10. [copy(12),rewrite([2(1)])].
% 88.18/88.42 14 multiply(sk_c10,sk_c8) = sk_c9 | inverse(sk_c3) = sk_c10 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 88.18/88.42 15 multiply(sk_c10,sk_c8) = inverse(sk_c10) | inverse(sk_c3) = sk_c10. [copy(14),rewrite([2(4)])].
% 88.18/88.42 18 multiply(sk_c10,sk_c8) = sk_c9 | inverse(sk_c7) = sk_c10 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 88.18/88.42 19 multiply(sk_c10,sk_c8) = inverse(sk_c10) | inverse(sk_c7) = sk_c10. [copy(18),rewrite([2(4)])].
% 88.18/88.42 20 multiply(sk_c10,sk_c2) = sk_c9 | inverse(sk_c3) = sk_c10 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 88.18/88.42 21 multiply(sk_c10,sk_c2) = inverse(sk_c10) | inverse(sk_c3) = sk_c10. [copy(20),rewrite([2(4)])].
% 88.18/88.42 22 multiply(sk_c10,sk_c2) = sk_c9 | inverse(sk_c5) = sk_c6 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 88.18/88.42 23 multiply(sk_c10,sk_c2) = inverse(sk_c10) | inverse(sk_c5) = sk_c6. [copy(22),rewrite([2(4)])].
% 88.18/88.42 24 multiply(sk_c10,sk_c2) = sk_c9 | inverse(sk_c7) = sk_c10 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 88.18/88.42 25 multiply(sk_c10,sk_c2) = inverse(sk_c10) | inverse(sk_c7) = sk_c10. [copy(24),rewrite([2(4)])].
% 88.18/88.42 26 multiply(sk_c1,sk_c10) = sk_c2 | inverse(sk_c3) = sk_c10 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 88.18/88.42 27 multiply(sk_c1,sk_c10) = sk_c2 | inverse(sk_c5) = sk_c6 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 88.18/88.42 28 multiply(sk_c1,sk_c10) = sk_c2 | inverse(sk_c7) = sk_c10 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 88.18/88.42 31 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c10) = sk_c4 # label(prove_this_35) # label(negated_conjecture). [assumption].
% 88.18/88.42 32 inverse(sk_c1) = sk_c10 | multiply(sk_c5,sk_c6) = sk_c8 # label(prove_this_37) # label(negated_conjecture). [assumption].
% 88.18/88.42 33 inverse(sk_c1) = sk_c10 | multiply(sk_c6,sk_c9) = sk_c8 # label(prove_this_39) # label(negated_conjecture). [assumption].
% 88.18/88.42 34 inverse(sk_c1) = sk_c10 | multiply(sk_c6,inverse(sk_c10)) = sk_c8. [copy(33),rewrite([2(6)])].
% 88.18/88.42 35 inverse(sk_c1) = sk_c10 | multiply(sk_c7,sk_c8) = sk_c10 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 88.18/88.42 44 multiply(sk_c9,sk_c8) = sk_c10 | multiply(sk_c7,sk_c8) = sk_c10 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 88.18/88.42 45 multiply(inverse(sk_c10),sk_c8) = sk_c10 | multiply(sk_c7,sk_c8) = sk_c10. [copy(44),rewrite([2(1)])].
% 88.18/88.42 60 multiply(sk_c10,sk_c2) = sk_c9 | multiply(sk_c5,sk_c6) = sk_c8 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 88.18/88.42 61 multiply(sk_c10,sk_c2) = inverse(sk_c10) | multiply(sk_c5,sk_c6) = sk_c8. [copy(60),rewrite([2(4)])].
% 88.18/88.42 69 multiply(sk_c1,sk_c10) = sk_c2 | multiply(sk_c5,sk_c6) = sk_c8 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 88.18/88.42 73 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 88.18/88.42 74 inverse(sk_c10) != sk_c9 | multiply(sk_c9,sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != sk_c9 | multiply(sk_c10,A) != sk_c9 | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(sk_c10,C) != sk_c9 | multiply(D,sk_c10) != C | inverse(D) != sk_c10 | multiply(E,F) != sk_c8 | inverse(E) != F | multiply(F,sk_c9) != sk_c8 | inverse(V6) != sk_c10 | multiply(V6,sk_c8) != sk_c10 # label(prove_this_42) # label(negated_conjecture). [assumption].
% 88.18/88.42 75 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(sk_c10,C) != inverse(sk_c10) | multiply(D,sk_c10) != C | inverse(D) != sk_c10 | multiply(E,F) != sk_c8 | inverse(E) != F | multiply(F,inverse(sk_c10)) != sk_c8 | inverse(V6) != sk_c10 | multiply(V6,sk_c8) != sk_c10. [copy(74),rewrite([2(3),2(6),2(15),2(20),2(31),2(45)]),xx(a)].
% 88.18/88.42 76 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(sk_c10,C) != inverse(sk_c10) | multiply(D,sk_c10) != C | inverse(D) != sk_c10 | multiply(E,F) != sk_c8 | inverse(E) != F | multiply(F,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10. [factor(75,a,m)].
% 88.18/88.42 79 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,D) != sk_c8 | inverse(C) != D | multiply(D,inverse(sk_c10)) != sk_c8 | inverse(E) != sk_c10 | multiply(E,sk_c8) != sk_c10. [factor(75,d,g),merge(f),merge(g)].
% 88.18/88.42 82 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,D) != sk_c8 | inverse(C) != D | multiply(D,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10. [factor(76,d,g),merge(f),merge(g)].
% 88.18/88.42 107 inverse(sk_c1) = sk_c10 | multiply(sk_c10,sk_c3) = identity. [para(5(b,1),4(a,1,1))].
% 88.18/88.42 108 inverse(sk_c1) = sk_c10 | multiply(sk_c6,sk_c5) = identity. [para(6(b,1),4(a,1,1))].
% 88.18/88.42 109 inverse(sk_c1) = sk_c10 | multiply(sk_c10,sk_c7) = identity. [para(7(b,1),4(a,1,1))].
% 88.18/88.42 110 multiply(inverse(A),multiply(A,B)) = B. [para(4(a,1),73(a,1,1)),rewrite([3(2)]),flip(a)].
% 88.18/88.42 112 inverse(sk_c3) = sk_c10 | multiply(A,multiply(inverse(sk_c10),sk_c8)) = multiply(A,sk_c10). [para(9(a,1),73(a,2,2)),rewrite([73(9)])].
% 88.18/88.42 114 inverse(sk_c5) = sk_c6 | multiply(A,multiply(inverse(sk_c10),sk_c8)) = multiply(A,sk_c10). [para(11(a,1),73(a,2,2)),rewrite([73(9)])].
% 88.18/88.42 118 inverse(sk_c3) = sk_c10 | multiply(A,multiply(sk_c10,sk_c8)) = multiply(A,inverse(sk_c10)). [para(15(a,1),73(a,2,2)),rewrite([73(8)])].
% 88.18/88.42 123 inverse(sk_c3) = sk_c10 | multiply(sk_c10,multiply(sk_c2,A)) = multiply(inverse(sk_c10),A). [para(21(a,1),73(a,1,1)),flip(b)].
% 88.18/88.42 129 inverse(sk_c3) = sk_c10 | multiply(sk_c1,multiply(sk_c10,A)) = multiply(sk_c2,A). [para(26(a,1),73(a,1,1)),flip(b)].
% 88.18/88.42 131 inverse(sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c10,A)) = multiply(sk_c2,A). [para(27(a,1),73(a,1,1)),flip(b)].
% 88.18/88.42 138 inverse(sk_c1) = sk_c10 | multiply(A,multiply(sk_c3,sk_c10)) = multiply(A,sk_c4). [para(31(b,1),73(a,2,2)),rewrite([73(8)])].
% 88.18/88.42 139 inverse(sk_c1) = sk_c10 | multiply(sk_c5,multiply(sk_c6,A)) = multiply(sk_c8,A). [para(32(b,1),73(a,1,1)),flip(b)].
% 88.18/88.42 140 inverse(sk_c1) = sk_c10 | multiply(A,multiply(sk_c5,sk_c6)) = multiply(A,sk_c8). [para(32(b,1),73(a,2,2)),rewrite([73(8)])].
% 88.18/88.42 142 inverse(sk_c1) = sk_c10 | multiply(A,multiply(sk_c6,inverse(sk_c10))) = multiply(A,sk_c8). [para(34(b,1),73(a,2,2)),rewrite([73(9)])].
% 88.18/88.42 143 inverse(sk_c1) = sk_c10 | multiply(sk_c7,multiply(sk_c8,A)) = multiply(sk_c10,A). [para(35(b,1),73(a,1,1)),flip(b)].
% 88.18/88.42 267 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,multiply(D,E)) != sk_c8 | inverse(C) != multiply(D,E) | multiply(D,multiply(E,inverse(sk_c10))) != sk_c8 | inverse(F) != sk_c10 | multiply(F,sk_c8) != sk_c10. [para(73(a,1),79(h,1))].
% 88.18/88.42 551 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,multiply(D,E)) != sk_c8 | inverse(C) != multiply(D,E) | multiply(D,multiply(E,inverse(sk_c10))) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10. [factor(267,a,j)].
% 88.18/88.42 835 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | inverse(inverse(sk_c10)) != sk_c10 | multiply(B,multiply(C,D)) != sk_c8 | inverse(B) != multiply(C,D) | multiply(C,multiply(D,inverse(sk_c10))) != sk_c8. [factor(551,e,i),rewrite([4(21)])].
% 88.18/88.42 925 multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,D) != sk_c8 | inverse(C) != D | multiply(D,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | inverse(sk_c7) = sk_c10. [resolve(82,a,13,a)].
% 88.18/88.42 927 multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | multiply(B,sk_c10) != A | inverse(B) != sk_c10 | multiply(C,D) != sk_c8 | inverse(C) != D | multiply(D,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | inverse(sk_c3) = sk_c10. [resolve(82,a,9,a)].
% 88.18/88.42 954 multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(A,sk_c10) != sk_c8 | inverse(A) != sk_c10 | multiply(sk_c10,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | inverse(sk_c7) = sk_c10. [factor(925,c,e),merge(b),merge(e)].
% 88.18/88.42 964 multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(A,sk_c10) != sk_c8 | inverse(A) != sk_c10 | multiply(sk_c10,inverse(sk_c10)) != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | inverse(sk_c3) = sk_c10. [factor(927,c,e),merge(b),merge(e)].
% 88.18/88.42 990 multiply(sk_c10,sk_c8) != inverse(sk_c10) | identity != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | multiply(sk_c10,inverse(sk_c10)) != sk_c8 | inverse(sk_c7) = sk_c10. [factor(954,c,e),rewrite([4(10)])].
% 88.18/88.42 998 multiply(sk_c10,sk_c8) != inverse(sk_c10) | identity != sk_c8 | inverse(inverse(sk_c10)) != sk_c10 | multiply(sk_c10,inverse(sk_c10)) != sk_c8 | inverse(sk_c3) = sk_c10. [factor(964,c,e),rewrite([4(10)])].
% 88.18/88.42 1030 inverse(sk_c1) = sk_c10 | multiply(A,multiply(sk_c10,sk_c3)) = multiply(A,identity). [para(107(b,1),73(a,2,2)),rewrite([73(8)])].
% 88.18/88.42 1098 multiply(inverse(inverse(A)),identity) = A. [para(4(a,1),110(a,1,2))].
% 88.18/88.42 1103 inverse(sk_c7) = sk_c10 | multiply(inverse(inverse(sk_c10)),sk_c10) = sk_c8. [para(13(a,1),110(a,1,2))].
% 88.18/88.42 1107 inverse(sk_c3) = sk_c10 | multiply(inverse(sk_c10),inverse(sk_c10)) = sk_c2. [para(21(a,1),110(a,1,2))].
% 88.18/88.42 1109 inverse(sk_c7) = sk_c10 | multiply(inverse(sk_c10),inverse(sk_c10)) = sk_c2. [para(25(a,1),110(a,1,2))].
% 88.18/88.42 1122 multiply(sk_c7,sk_c8) = sk_c10 | multiply(inverse(inverse(sk_c10)),sk_c10) = sk_c8. [para(45(a,1),110(a,1,2))].
% 88.18/88.42 1147 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c10),identity) = sk_c3. [para(107(b,1),110(a,1,2))].
% 88.18/88.42 1148 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(110(a,1),110(a,1,2))].
% 88.18/88.42 1152 multiply(sk_c7,sk_c8) = sk_c10 | multiply(sk_c10,sk_c10) = sk_c8. [back_rewrite(1122),rewrite([1148(10)])].
% 88.18/88.42 1157 inverse(sk_c7) = sk_c10 | multiply(sk_c10,sk_c10) = sk_c8. [back_rewrite(1103),rewrite([1148(9)])].
% 88.18/88.42 1160 multiply(A,identity) = A. [back_rewrite(1098),rewrite([1148(4)])].
% 88.18/88.42 1162 inverse(sk_c1) = sk_c10 | inverse(sk_c10) = sk_c3. [back_rewrite(1147),rewrite([1160(8)])].
% 88.18/88.42 1167 inverse(sk_c1) = sk_c10 | multiply(A,multiply(sk_c10,sk_c3)) = A. [back_rewrite(1030),rewrite([1160(10)])].
% 88.18/88.42 1186 inverse(identity) = identity. [para(1160(a,1),4(a,1))].
% 88.18/88.42 1256 inverse(sk_c1) = sk_c10 | inverse(sk_c6) = sk_c5. [para(108(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 1265 inverse(sk_c1) = sk_c10 | multiply(sk_c5,sk_c6) = identity. [para(1256(b,1),4(a,1,1))].
% 88.18/88.42 1284 inverse(sk_c1) = sk_c10 | inverse(sk_c10) = sk_c7. [para(109(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 1297 multiply(A,inverse(A)) = identity. [para(1148(a,1),4(a,1))].
% 88.18/88.42 1298 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c10),A) = multiply(sk_c3,A). [para(5(b,1),1148(a,1,1,1))].
% 88.18/88.42 1300 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c10),A) = multiply(sk_c7,A). [para(7(b,1),1148(a,1,1,1))].
% 88.18/88.42 1338 multiply(A,multiply(inverse(A),B)) = B. [para(1148(a,1),110(a,1))].
% 88.18/88.42 1339 inverse(inverse(A)) = A. [para(1148(a,1),1160(a,1)),rewrite([1160(2)]),flip(a)].
% 88.18/88.42 1341 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c5),A) = multiply(sk_c6,A). [para(1256(b,1),1148(a,1,1,1))].
% 88.18/88.42 1374 multiply(sk_c10,sk_c8) != inverse(sk_c10) | identity != sk_c8 | inverse(sk_c3) = sk_c10. [back_rewrite(998),rewrite([1339(12),1297(16)]),xx(c),merge(c)].
% 88.18/88.42 1376 multiply(sk_c10,sk_c8) != inverse(sk_c10) | identity != sk_c8 | inverse(sk_c7) = sk_c10. [back_rewrite(990),rewrite([1339(12),1297(16)]),xx(c),merge(c)].
% 88.18/88.42 1478 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | multiply(B,multiply(C,D)) != sk_c8 | inverse(B) != multiply(C,D) | multiply(C,multiply(D,inverse(sk_c10))) != sk_c8. [back_rewrite(835),rewrite([1339(22)]),xx(e)].
% 88.18/88.42 1657 inverse(sk_c10) = sk_c3 | inverse(sk_c10) = sk_c1. [para(1162(a,1),1339(a,1,1))].
% 88.18/88.42 1658 inverse(sk_c10) = sk_c7 | inverse(sk_c10) = sk_c1. [para(1284(a,1),1339(a,1,1))].
% 88.18/88.42 1659 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c10) = identity. [para(5(b,1),1297(a,1,2))].
% 88.18/88.42 1661 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(1297(a,1),73(a,1)),flip(a)].
% 88.18/88.42 1666 inverse(sk_c1) = sk_c10 | multiply(sk_c3,multiply(sk_c10,A)) = A. [para(5(b,1),1338(a,1,2,1))].
% 88.18/88.42 1797 inverse(sk_c10) = sk_c1 | sk_c7 = sk_c3. [para(1658(a,1),1657(a,1)),merge(c)].
% 88.18/88.42 1803 sk_c7 = sk_c3 | multiply(sk_c1,sk_c10) = identity. [para(1797(a,1),4(a,1,1))].
% 88.18/88.42 1912 sk_c7 = sk_c3 | identity = sk_c2 | inverse(sk_c3) = sk_c10. [para(1803(b,1),26(a,1))].
% 88.18/88.42 1914 sk_c7 = sk_c3 | identity = sk_c2 | inverse(sk_c7) = sk_c10. [para(1803(b,1),28(a,1))].
% 88.18/88.42 2056 inverse(sk_c1) = sk_c10 | identity = sk_c8. [para(1265(b,1),32(b,1)),merge(b)].
% 88.18/88.42 2148 identity = sk_c8 | multiply(sk_c10,multiply(sk_c1,A)) = A. [para(2056(a,1),110(a,1,1))].
% 88.18/88.42 2150 identity = sk_c8 | multiply(sk_c1,sk_c10) = identity. [para(2056(a,1),1297(a,1,2))].
% 88.18/88.42 2220 identity = sk_c8 | multiply(A,multiply(sk_c1,sk_c10)) = A. [para(2150(b,1),73(a,2,2)),rewrite([73(7),1160(9)])].
% 88.18/88.42 3523 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(1661(a,1),110(a,1,2)),rewrite([1160(3)]),flip(a)].
% 88.18/88.42 3565 inverse(sk_c3) = sk_c10 | multiply(sk_c2,sk_c10) = inverse(sk_c10). [para(21(a,1),3523(a,1,2,1)),rewrite([1339(8)])].
% 88.18/88.42 3566 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c10) = inverse(sk_c10). [para(23(a,1),3523(a,1,2,1)),rewrite([1339(8)])].
% 88.18/88.42 3572 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c4)) = inverse(sk_c3). [para(31(b,1),3523(a,1,2,1))].
% 88.18/88.42 3573 inverse(sk_c1) = sk_c10 | multiply(sk_c6,inverse(sk_c8)) = inverse(sk_c5). [para(32(b,1),3523(a,1,2,1))].
% 88.18/88.42 3599 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(3523(a,1),110(a,1,2)),flip(a)].
% 88.18/88.42 3954 sk_c7 = sk_c3 | identity = sk_c2 | inverse(sk_c10) = sk_c3. [para(1912(c,1),1339(a,1,1))].
% 88.18/88.42 4086 sk_c7 = sk_c3 | identity = sk_c2 | inverse(sk_c10) = sk_c7. [para(1914(c,1),1339(a,1,1))].
% 88.18/88.42 4963 inverse(sk_c3) = sk_c10 | multiply(sk_c2,sk_c10) = multiply(sk_c1,sk_c8). [para(112(b,1),129(b,2)),rewrite([1338(15)]),flip(c),merge(b)].
% 88.18/88.42 4971 inverse(sk_c3) = sk_c10 | multiply(sk_c2,multiply(sk_c10,sk_c8)) = sk_c1. [para(118(b,1),129(b,1,2)),rewrite([1297(13),1160(11)]),flip(c),merge(b)].
% 88.18/88.42 5481 inverse(sk_c5) = sk_c6 | multiply(sk_c2,sk_c10) = multiply(sk_c1,sk_c8). [para(114(b,1),131(b,2)),rewrite([1338(15)]),flip(c),merge(b)].
% 88.18/88.42 6338 sk_c7 = sk_c3 | identity = sk_c2. [para(4086(c,1),3954(c,1)),merge(c),merge(d),merge(e)].
% 88.18/88.42 6347 sk_c7 = sk_c3 | inverse(sk_c2) = identity. [para(6338(b,1),1186(a,1,1))].
% 88.18/88.42 6623 inverse(sk_c1) = sk_c10 | multiply(A,sk_c4) = A. [para(1659(b,1),138(b,1,2)),rewrite([1160(10)]),flip(c),merge(b)].
% 88.18/88.42 6792 inverse(sk_c1) = sk_c10 | inverse(sk_c4) = identity. [para(6623(b,1),4(a,1))].
% 88.18/88.42 6803 inverse(sk_c1) = sk_c10 | multiply(sk_c4,A) = A. [para(6792(b,1),110(a,1,1)),rewrite([3(8)])].
% 88.18/88.42 6833 inverse(sk_c1) = sk_c10 | multiply(A,sk_c8) = A. [para(1265(b,1),140(b,1,2)),rewrite([1160(10)]),flip(c),merge(b)].
% 88.18/88.42 6852 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c4),A) = A. [para(6803(b,1),110(a,1,2))].
% 88.18/88.42 8465 inverse(sk_c1) = sk_c10 | inverse(sk_c4) = sk_c8. [para(6852(b,1),6833(b,1)),flip(c),merge(b)].
% 88.18/88.42 8529 inverse(sk_c1) = sk_c10 | multiply(sk_c8,A) = A. [para(8465(b,1),6852(b,1,1)),merge(b)].
% 88.18/88.42 8677 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c8),A) = A. [para(8529(b,1),110(a,1,2))].
% 88.18/88.42 9737 inverse(sk_c1) = sk_c10 | multiply(sk_c6,inverse(sk_c10)) = identity. [para(8677(b,1),142(b,1)),rewrite([4(16)]),merge(b)].
% 88.18/88.42 10345 inverse(sk_c1) = sk_c10 | inverse(sk_c6) = inverse(sk_c10). [para(9737(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 10350 inverse(sk_c1) = sk_c10 | multiply(sk_c8,inverse(sk_c10)) = sk_c5. [para(9737(b,1),139(b,1,2)),rewrite([1160(11)]),flip(c),merge(b)].
% 88.18/88.42 10353 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c10),sk_c6) = identity. [para(10345(b,1),4(a,1,1))].
% 88.18/88.42 11212 inverse(sk_c3) = sk_c10 | multiply(sk_c10,sk_c10) = inverse(sk_c2). [para(1107(b,1),3599(a,1,1)),rewrite([1339(9),1339(10)]),flip(b)].
% 88.18/88.42 11347 inverse(sk_c7) = sk_c10 | multiply(sk_c10,sk_c10) = inverse(sk_c2). [para(1109(b,1),3599(a,1,1)),rewrite([1339(9),1339(10)]),flip(b)].
% 88.18/88.42 11704 inverse(sk_c1) = sk_c10 | multiply(sk_c7,sk_c5) = identity. [para(10350(b,1),143(b,1,2)),rewrite([1297(15)]),merge(b)].
% 88.18/88.42 12378 inverse(sk_c1) = sk_c10 | multiply(sk_c10,sk_c3) = inverse(sk_c4). [para(1167(b,1),6852(b,1)),flip(c),merge(b)].
% 88.18/88.42 12380 inverse(sk_c1) = sk_c10 | multiply(sk_c10,sk_c3) = inverse(sk_c8). [para(1167(b,1),8677(b,1)),flip(c),merge(b)].
% 88.18/88.42 12739 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c6) = identity. [para(1298(b,1),10353(b,1)),merge(b)].
% 88.18/88.42 12778 inverse(sk_c1) = sk_c10 | inverse(sk_c3) = sk_c6. [para(12739(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 12807 inverse(sk_c1) = sk_c10 | multiply(sk_c6,sk_c3) = identity. [para(12778(b,1),4(a,1,1))].
% 88.18/88.42 12842 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c10),sk_c5) = identity. [para(11704(b,1),1300(b,2)),merge(b)].
% 88.18/88.42 12951 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c5),sk_c3) = identity. [para(12807(b,1),1341(b,2)),merge(b)].
% 88.18/88.42 13189 identity != sk_c8 | inverse(sk_c3) = sk_c10. [resolve(1374,a,15,a),merge(c)].
% 88.18/88.42 13260 identity != sk_c8 | inverse(sk_c7) = sk_c10. [resolve(1376,a,19,a),merge(c)].
% 88.18/88.42 13790 inverse(sk_c3) = sk_c10 | inverse(sk_c2) = sk_c8. [para(11212(b,1),112(b,2)),rewrite([1338(14)]),flip(c),merge(b)].
% 88.18/88.42 13805 inverse(sk_c2) = sk_c8 | inverse(sk_c10) = sk_c3. [para(13790(a,1),1339(a,1,1))].
% 88.18/88.42 13813 inverse(sk_c10) = sk_c3 | sk_c7 = sk_c3 | identity = sk_c8. [para(13805(a,1),6347(b,1)),flip(c)].
% 88.18/88.42 14016 inverse(sk_c7) = sk_c10 | inverse(sk_c2) = sk_c8. [para(11347(b,1),1157(b,1)),merge(b)].
% 88.18/88.42 14038 inverse(sk_c2) = sk_c8 | inverse(sk_c10) = sk_c7. [para(14016(a,1),1339(a,1,1))].
% 88.18/88.42 14046 inverse(sk_c10) = sk_c7 | sk_c7 = sk_c3 | identity = sk_c8. [para(14038(a,1),6347(b,1)),flip(c)].
% 88.18/88.42 14613 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | multiply(B,multiply(C,sk_c10)) != sk_c8 | inverse(B) != multiply(C,sk_c10) | sk_c8 != C. [para(4(a,1),1478(g,1,2)),rewrite([1339(22),1339(28),1160(30)]),flip(g)].
% 88.18/88.42 14689 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | multiply(B,multiply(C,multiply(D,sk_c10))) != sk_c8 | multiply(inverse(C),inverse(B)) != multiply(D,sk_c10) | sk_c8 != D. [para(73(a,1),14613(e,1)),rewrite([3599(27)])].
% 88.18/88.42 14773 inverse(sk_c1) = sk_c10 | inverse(sk_c4) = inverse(sk_c8). [para(12380(b,1),12378(b,1)),flip(c),merge(b)].
% 88.18/88.42 15302 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c5) = identity. [para(12842(b,1),1298(b,1)),flip(c),merge(b)].
% 88.18/88.42 15309 inverse(sk_c1) = sk_c10 | inverse(sk_c3) = sk_c5. [para(15302(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 15313 inverse(sk_c1) = sk_c10 | inverse(sk_c5) = sk_c3. [para(15309(b,1),1339(a,1,1))].
% 88.18/88.42 15423 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c3) = identity. [para(15313(b,1),12951(b,1,1)),merge(b)].
% 88.18/88.42 15426 inverse(sk_c1) = sk_c10 | inverse(sk_c3) = sk_c3. [para(15423(b,1),110(a,1,2)),rewrite([1160(8)])].
% 88.18/88.42 17532 sk_c7 = sk_c3 | identity = sk_c8. [para(14046(a,1),13813(a,1)),merge(c),merge(d),merge(e)].
% 88.18/88.42 17537 sk_c7 = sk_c3 | inverse(sk_c7) = sk_c10. [resolve(17532,b,13260,a)].
% 88.18/88.42 17539 sk_c7 = sk_c3 | inverse(sk_c3) = sk_c10. [resolve(17532,b,13189,a)].
% 88.18/88.42 17560 sk_c7 = sk_c3 | inverse(sk_c10) = sk_c7. [para(17537(b,1),1339(a,1,1))].
% 88.18/88.42 17570 sk_c7 = sk_c3 | inverse(sk_c10) = sk_c3. [para(17539(b,1),1339(a,1,1))].
% 88.18/88.42 17631 sk_c7 = sk_c3. [para(17570(b,1),17560(b,1)),flip(c),merge(b),merge(c)].
% 88.18/88.42 17848 multiply(sk_c3,sk_c8) = sk_c10 | multiply(sk_c10,sk_c10) = sk_c8. [back_rewrite(1152),rewrite([17631(1)])].
% 88.18/88.42 24019 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | multiply(B,sk_c10) != sk_c8 | multiply(C,inverse(B)) != multiply(C,sk_c10) | sk_c8 != C. [para(110(a,1),14689(e,1,2)),rewrite([1339(25)])].
% 88.18/88.42 24027 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | multiply(sk_c10,A) != inverse(sk_c10) | identity != A | multiply(inverse(B),sk_c10) != sk_c8 | multiply(C,sk_c10) != multiply(C,B) | sk_c8 != C. [para(1339(a,1),24019(f,1,2)),flip(f)].
% 88.18/88.42 24038 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | inverse(sk_c10) != A | multiply(inverse(sk_c10),A) != identity | multiply(inverse(B),sk_c10) != sk_c8 | multiply(C,sk_c10) != multiply(C,B) | sk_c8 != C. [para(1338(a,1),24027(c,1)),flip(c),flip(d)].
% 88.18/88.42 24139 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c4)) = sk_c6. [para(12778(b,1),3572(b,2)),merge(b)].
% 88.18/88.42 24141 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c4)) = sk_c5. [para(15309(b,1),3572(b,2)),merge(b)].
% 88.18/88.42 24142 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c4)) = sk_c3. [para(15426(b,1),3572(b,2)),merge(b)].
% 88.18/88.42 24167 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c8)) = sk_c6. [para(14773(b,1),24139(b,1,2)),merge(b)].
% 88.18/88.42 24170 inverse(sk_c1) = sk_c10 | multiply(sk_c10,inverse(sk_c8)) = sk_c5. [para(14773(b,1),24141(b,1,2)),merge(b)].
% 88.18/88.42 24171 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c5) = inverse(sk_c4). [para(24141(b,1),1666(b,1,2)),merge(b)].
% 88.18/88.42 24173 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c3) = inverse(sk_c4). [para(24142(b,1),1666(b,1,2)),merge(b)].
% 88.18/88.42 24192 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c6) = inverse(sk_c8). [para(24167(b,1),1666(b,1,2)),merge(b)].
% 88.18/88.42 24197 inverse(sk_c1) = sk_c10 | multiply(sk_c3,sk_c5) = inverse(sk_c8). [para(24170(b,1),1666(b,1,2)),merge(b)].
% 88.18/88.42 24198 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c3),inverse(sk_c4)) = sk_c5. [para(24171(b,1),110(a,1,2))].
% 88.18/88.42 24209 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c3),inverse(sk_c4)) = sk_c3. [para(24173(b,1),110(a,1,2))].
% 88.18/88.42 24210 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c3),inverse(sk_c3)) = sk_c4. [para(24173(b,1),3599(a,1,1)),rewrite([1339(7)]),flip(b)].
% 88.18/88.42 24215 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c6),inverse(sk_c3)) = sk_c8. [para(24192(b,1),3599(a,1,1)),rewrite([1339(7)]),flip(b)].
% 88.18/88.42 24216 inverse(sk_c1) = sk_c10 | multiply(inverse(sk_c3),inverse(sk_c8)) = sk_c5. [para(24197(b,1),110(a,1,2))].
% 88.18/88.42 24236 inverse(sk_c1) = sk_c10 | multiply(sk_c6,inverse(sk_c8)) = sk_c3. [para(15313(b,1),3573(b,2)),merge(b)].
% 88.18/88.42 24242 inverse(sk_c1) = sk_c10 | multiply(sk_c8,inverse(sk_c6)) = inverse(sk_c3). [para(24236(b,1),3599(a,1,1)),rewrite([1339(9)]),flip(b)].
% 88.18/88.42 24330 inverse(sk_c3) = sk_c10 | multiply(sk_c1,sk_c8) = inverse(sk_c10). [para(4963(b,1),3565(b,1)),merge(b)].
% 88.18/88.42 24334 inverse(sk_c3) = sk_c10 | identity = sk_c8. [para(24330(b,1),2148(b,1,2)),rewrite([1297(11)]),merge(c)].
% 88.18/88.42 24345 identity = sk_c8 | multiply(sk_c10,multiply(sk_c3,A)) = A. [para(24334(a,1),110(a,1,1))].
% 88.18/88.42 24421 multiply(sk_c10,sk_c10) = sk_c8 | identity = sk_c8. [para(17848(a,1),24345(b,1,2)),merge(c)].
% 88.18/88.42 24656 inverse(sk_c3) = sk_c10 | multiply(sk_c10,sk_c1) = sk_c8. [para(4971(b,1),123(b,1,2)),rewrite([110(17)]),merge(b)].
% 88.18/88.42 24657 inverse(sk_c3) = sk_c10 | multiply(inverse(sk_c10),sk_c8) = sk_c1. [para(24656(b,1),110(a,1,2))].
% 88.18/88.42 24693 inverse(sk_c3) = sk_c10 | sk_c1 = sk_c10. [para(24657(b,1),9(a,1)),merge(c)].
% 88.18/88.42 24703 sk_c1 = sk_c10 | multiply(sk_c10,multiply(sk_c3,A)) = A. [para(24693(a,1),110(a,1,1))].
% 88.18/88.42 24704 sk_c1 = sk_c10 | inverse(sk_c10) = sk_c3. [para(24693(a,1),1339(a,1,1))].
% 88.18/88.42 24765 multiply(sk_c10,sk_c10) = sk_c8 | sk_c1 = sk_c10. [para(17848(a,1),24703(b,1,2)),merge(c)].
% 88.18/88.42 24780 sk_c1 = sk_c10 | multiply(inverse(sk_c10),sk_c8) = sk_c10. [para(24765(a,1),110(a,1,2))].
% 88.18/88.42 24793 sk_c1 = sk_c10 | multiply(sk_c3,sk_c8) = sk_c10. [para(24704(b,1),24780(b,1,1)),merge(b)].
% 88.18/88.42 24796 sk_c1 = sk_c10 | multiply(inverse(sk_c3),sk_c10) = sk_c8. [para(24793(b,1),110(a,1,2))].
% 88.18/88.42 24798 sk_c1 = sk_c10 | multiply(inverse(sk_c10),sk_c3) = inverse(sk_c8). [para(24796(b,1),3599(a,1,1)),rewrite([1339(10)]),flip(b)].
% 88.18/88.42 24916 sk_c1 = sk_c10 | multiply(sk_c10,inverse(sk_c8)) = sk_c3. [para(24798(b,1),110(a,1,2)),rewrite([1339(6)])].
% 88.18/88.42 24926 sk_c1 = sk_c10 | multiply(sk_c8,inverse(sk_c10)) = inverse(sk_c3). [para(24916(b,1),3599(a,1,1)),rewrite([1339(8)]),flip(b)].
% 88.18/88.42 25076 inverse(sk_c5) = sk_c6 | multiply(sk_c1,sk_c8) = inverse(sk_c10). [para(5481(b,1),3566(b,1)),merge(b)].
% 88.18/88.42 25080 inverse(sk_c5) = sk_c6 | identity = sk_c8. [para(25076(b,1),2148(b,1,2)),rewrite([1297(11)]),merge(c)].
% 88.18/88.42 25108 identity = sk_c8 | multiply(sk_c5,sk_c6) = identity. [para(25080(a,1),1297(a,1,2))].
% 88.18/88.42 25113 identity = sk_c8 | multiply(sk_c10,sk_c2) = inverse(sk_c10). [para(25108(b,1),61(b,1)),merge(c)].
% 88.18/88.42 25114 identity = sk_c8 | multiply(sk_c1,sk_c10) = sk_c2. [para(25108(b,1),69(b,1)),merge(c)].
% 88.18/88.42 25134 identity = sk_c8 | multiply(A,sk_c2) = A. [para(25114(b,1),2220(b,1,2)),merge(b)].
% 88.18/88.42 25323 identity = sk_c8 | inverse(sk_c10) = sk_c10. [para(25113(b,1),25134(b,1)),merge(b)].
% 88.18/88.42 25324 identity = sk_c8 | multiply(sk_c10,sk_c10) = identity. [para(25323(b,1),4(a,1,1))].
% 88.18/88.42 26256 identity = sk_c8. [para(25324(b,1),24421(a,1)),merge(b),merge(c)].
% 88.18/88.42 26547 multiply(inverse(sk_c10),sk_c8) != sk_c10 | multiply(sk_c10,sk_c8) != inverse(sk_c10) | inverse(sk_c10) != A | multiply(inverse(sk_c10),A) != sk_c8 | multiply(inverse(B),sk_c10) != sk_c8 | multiply(C,sk_c10) != multiply(C,B) | sk_c8 != C. [back_rewrite(24038),rewrite([26256(19)])].
% 88.18/88.42 28360 inverse(sk_c3) = sk_c10. [back_rewrite(13189),rewrite([26256(1)]),xx(a)].
% 88.18/88.42 28946 inverse(sk_c8) = sk_c8. [back_rewrite(1186),rewrite([26256(1),26256(3)])].
% 88.18/88.42 28947 multiply(A,sk_c8) = A. [back_rewrite(1160),rewrite([26256(1)])].
% 88.18/88.42 28948 multiply(inverse(A),A) = sk_c8. [back_rewrite(4),rewrite([26256(3)])].
% 88.18/88.42 28949 multiply(sk_c8,A) = A. [back_rewrite(3),rewrite([26256(1)])].
% 88.18/88.42 29031 inverse(sk_c10) != sk_c10. [factor(26547,d,e),rewrite([28947(4),28947(7),28948(16)]),flip(b),xx(d),xx(e),xx(f),merge(b),merge(c)].
% 88.18/88.42 29077 sk_c1 = sk_c10. [back_rewrite(24926),rewrite([28949(7),28360(7)]),unit_del(b,29031)].
% 88.18/88.42 29079 inverse(sk_c6) = sk_c10. [back_rewrite(24242),rewrite([29077(1),28949(8),28360(8)]),unit_del(a,29031)].
% 88.18/88.42 29081 sk_c5 = sk_c10. [back_rewrite(24216),rewrite([29077(1),28360(6),28946(7),28947(7)]),flip(b),unit_del(a,29031)].
% 88.18/88.42 29082 multiply(sk_c10,sk_c10) = sk_c8. [back_rewrite(24215),rewrite([29077(1),29079(6),28360(7)]),unit_del(a,29031)].
% 88.18/88.42 29086 sk_c4 = sk_c8. [back_rewrite(24210),rewrite([29077(1),28360(6),28360(7),29082(7)]),flip(b),unit_del(a,29031)].
% 88.18/88.42 29087 sk_c3 = sk_c10. [back_rewrite(24209),rewrite([29077(1),28360(6),29086(6),28946(7),28947(7)]),flip(b),unit_del(a,29031)].
% 88.18/88.42 29088 $F. [back_rewrite(24198),rewrite([29077(1),29087(5),29086(7),28946(8),28947(8),29081(7)]),merge(b),unit_del(a,29031)].
% 88.18/88.42
% 88.18/88.42 % SZS output end Refutation
% 88.18/88.42 ============================== end of proof ==========================
% 88.18/88.42
% 88.18/88.42 ============================== STATISTICS ============================
% 88.18/88.42
% 88.18/88.42 Given=6093. Generated=4725885. Kept=29057. proofs=1.
% 88.18/88.42 Usable=2658. Sos=6378. Demods=27. Limbo=728, Disabled=19338. Hints=0.
% 88.18/88.42 Megabytes=27.56.
% 88.18/88.42 User_CPU=85.05, System_CPU=2.40, Wall_clock=87.
% 88.18/88.42
% 88.18/88.42 ============================== end of statistics =====================
% 88.18/88.42
% 88.18/88.42 ============================== end of search =========================
% 88.18/88.42
% 88.18/88.42 THEOREM PROVED
% 88.18/88.42 % SZS status Unsatisfiable
% 88.18/88.42
% 88.18/88.42 Exiting with 1 proof.
% 88.18/88.42
% 88.18/88.42 Process 23548 exit (max_proofs) Tue Jun 14 02:22:51 2022
% 88.18/88.42 Prover9 interrupted
%------------------------------------------------------------------------------