%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP368-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 11:18:47 EDT 2022

% Result   : Unsatisfiable 15.93s 16.28s
% Output   : Refutation 15.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP368-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 03:08:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 15.93/16.28  ============================== Prover9 ===============================
% 15.93/16.28  Prover9 (32) version 2009-11A, November 2009.
% 15.93/16.28  Process 2656 was started by sandbox on n023.cluster.edu,
% 15.93/16.28  Tue Jun 14 03:08:51 2022
% 15.93/16.28  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2305_n023.cluster.edu".
% 15.93/16.28  ============================== end of head ===========================
% 15.93/16.28  
% 15.93/16.28  ============================== INPUT =================================
% 15.93/16.28  
% 15.93/16.28  % Reading from file /tmp/Prover9_2305_n023.cluster.edu
% 15.93/16.28  
% 15.93/16.28  set(prolog_style_variables).
% 15.93/16.28  set(auto2).
% 15.93/16.28      % set(auto2) -> set(auto).
% 15.93/16.28      % set(auto) -> set(auto_inference).
% 15.93/16.28      % set(auto) -> set(auto_setup).
% 15.93/16.28      % set(auto_setup) -> set(predicate_elim).
% 15.93/16.28      % set(auto_setup) -> assign(eq_defs, unfold).
% 15.93/16.28      % set(auto) -> set(auto_limits).
% 15.93/16.28      % set(auto_limits) -> assign(max_weight, "100.000").
% 15.93/16.28      % set(auto_limits) -> assign(sos_limit, 20000).
% 15.93/16.28      % set(auto) -> set(auto_denials).
% 15.93/16.28      % set(auto) -> set(auto_process).
% 15.93/16.28      % set(auto2) -> assign(new_constants, 1).
% 15.93/16.28      % set(auto2) -> assign(fold_denial_max, 3).
% 15.93/16.28      % set(auto2) -> assign(max_weight, "200.000").
% 15.93/16.28      % set(auto2) -> assign(max_hours, 1).
% 15.93/16.28      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 15.93/16.28      % set(auto2) -> assign(max_seconds, 0).
% 15.93/16.28      % set(auto2) -> assign(max_minutes, 5).
% 15.93/16.28      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 15.93/16.28      % set(auto2) -> set(sort_initial_sos).
% 15.93/16.28      % set(auto2) -> assign(sos_limit, -1).
% 15.93/16.28      % set(auto2) -> assign(lrs_ticks, 3000).
% 15.93/16.28      % set(auto2) -> assign(max_megs, 400).
% 15.93/16.28      % set(auto2) -> assign(stats, some).
% 15.93/16.28      % set(auto2) -> clear(echo_input).
% 15.93/16.28      % set(auto2) -> set(quiet).
% 15.93/16.28      % set(auto2) -> clear(print_initial_clauses).
% 15.93/16.28      % set(auto2) -> clear(print_given).
% 15.93/16.28  assign(lrs_ticks,-1).
% 15.93/16.28  assign(sos_limit,10000).
% 15.93/16.28  assign(order,kbo).
% 15.93/16.28  set(lex_order_vars).
% 15.93/16.28  clear(print_given).
% 15.93/16.28  
% 15.93/16.28  % formulas(sos).  % not echoed (34 formulas)
% 15.93/16.28  
% 15.93/16.28  ============================== end of input ==========================
% 15.93/16.28  
% 15.93/16.28  % From the command line: assign(max_seconds, 300).
% 15.93/16.28  
% 15.93/16.28  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 15.93/16.28  
% 15.93/16.28  % Formulas that are not ordinary clauses:
% 15.93/16.28  
% 15.93/16.28  ============================== end of process non-clausal formulas ===
% 15.93/16.28  
% 15.93/16.28  ============================== PROCESS INITIAL CLAUSES ===============
% 15.93/16.28  
% 15.93/16.28  ============================== PREDICATE ELIMINATION =================
% 15.93/16.28  
% 15.93/16.28  ============================== end predicate elimination =============
% 15.93/16.28  
% 15.93/16.28  Auto_denials:  (non-Horn, no changes).
% 15.93/16.28  
% 15.93/16.28  Term ordering decisions:
% 15.93/16.28  
% 15.93/16.28  % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 15.93/16.28  Function symbol KB weights:  sk_c7=1. sk_c6=1. sk_c5=1. sk_c4=1. sk_c1=1. sk_c2=1. sk_c3=1. identity=1. multiply=1. inverse=0.
% 15.93/16.28  
% 15.93/16.28  ============================== end of process initial clauses ========
% 15.93/16.28  
% 15.93/16.28  ============================== CLAUSES FOR SEARCH ====================
% 15.93/16.28  
% 15.93/16.28  ============================== end of clauses for search =============
% 15.93/16.28  
% 15.93/16.28  ============================== SEARCH ================================
% 15.93/16.28  
% 15.93/16.28  % Starting search at 0.02 seconds.
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=46.000, iters=3352
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=45.000, iters=3427
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=44.000, iters=3337
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=43.000, iters=3346
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=42.000, iters=3362
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=41.000, iters=3360
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=40.000, iters=3346
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=39.000, iters=3360
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=38.000, iters=3339
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=37.000, iters=3390
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=36.000, iters=3386
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=35.000, iters=3341
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=34.000, iters=3335
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=33.000, iters=3353
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=30.000, iters=3335
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=29.000, iters=3334
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=17.000, iters=3413
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=16.000, iters=3336
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=15.000, iters=3366
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=14.000, iters=3342
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=13.000, iters=3344
% 15.93/16.28  
% 15.93/16.28  Low Water (keep): wt=12.000, iters=3342
% 15.93/16.28  
% 15.93/16.28  ============================== PROOF =================================
% 15.93/16.28  % SZS status Unsatisfiable
% 15.93/16.28  % SZS output start Refutation
% 15.93/16.28  
% 15.93/16.28  % Proof 1 at 14.86 (+ 0.40) seconds.
% 15.93/16.28  % Length of proof is 222.
% 15.93/16.28  % Level of proof is 45.
% 15.93/16.28  % Maximum clause weight is 55.000.
% 15.93/16.28  % Given clauses 3799.
% 15.93/16.28  
% 15.93/16.28  1 multiply(identity,A) = A # label(left_identity) # label(axiom).  [assumption].
% 15.93/16.28  2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom).  [assumption].
% 15.93/16.28  3 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = sk_c5 # label(prove_this_17) # label(negated_conjecture).  [assumption].
% 15.93/16.28  4 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c7 # label(prove_this_19) # label(negated_conjecture).  [assumption].
% 15.93/16.28  5 inverse(sk_c3) = sk_c5 | inverse(sk_c6) = sk_c5 # label(prove_this_27) # label(negated_conjecture).  [assumption].
% 15.93/16.28  6 inverse(sk_c3) = sk_c5 | inverse(sk_c4) = sk_c7 # label(prove_this_29) # label(negated_conjecture).  [assumption].
% 15.93/16.28  7 multiply(sk_c5,sk_c7) = sk_c6 | inverse(sk_c6) = sk_c5 # label(prove_this_2) # label(negated_conjecture).  [assumption].
% 15.93/16.28  8 multiply(sk_c5,sk_c7) = sk_c6 | inverse(sk_c4) = sk_c7 # label(prove_this_4) # label(negated_conjecture).  [assumption].
% 15.93/16.28  9 multiply(sk_c7,sk_c2) = sk_c6 | inverse(sk_c6) = sk_c5 # label(prove_this_7) # label(negated_conjecture).  [assumption].
% 15.93/16.28  10 multiply(sk_c7,sk_c2) = sk_c6 | inverse(sk_c4) = sk_c7 # label(prove_this_9) # label(negated_conjecture).  [assumption].
% 15.93/16.28  11 multiply(sk_c1,sk_c7) = sk_c2 | inverse(sk_c6) = sk_c5 # label(prove_this_12) # label(negated_conjecture).  [assumption].
% 15.93/16.28  12 multiply(sk_c1,sk_c7) = sk_c2 | inverse(sk_c4) = sk_c7 # label(prove_this_14) # label(negated_conjecture).  [assumption].
% 15.93/16.28  15 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_20) # label(negated_conjecture).  [assumption].
% 15.93/16.28  16 multiply(sk_c3,sk_c5) = sk_c7 | inverse(sk_c6) = sk_c5 # label(prove_this_22) # label(negated_conjecture).  [assumption].
% 15.93/16.28  17 multiply(sk_c3,sk_c5) = sk_c7 | inverse(sk_c4) = sk_c7 # label(prove_this_24) # label(negated_conjecture).  [assumption].
% 15.93/16.28  18 inverse(sk_c3) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_26) # label(negated_conjecture).  [assumption].
% 15.93/16.28  19 inverse(sk_c3) = sk_c5 | multiply(sk_c7,sk_c5) = sk_c6 # label(prove_this_28) # label(negated_conjecture).  [assumption].
% 15.93/16.28  20 inverse(sk_c3) = sk_c5 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_30) # label(negated_conjecture).  [assumption].
% 15.93/16.28  22 multiply(sk_c5,sk_c7) = sk_c6 | multiply(sk_c7,sk_c5) = sk_c6 # label(prove_this_3) # label(negated_conjecture).  [assumption].
% 15.93/16.28  26 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_10) # label(negated_conjecture).  [assumption].
% 15.93/16.28  29 multiply(sk_c1,sk_c7) = sk_c2 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_15) # label(negated_conjecture).  [assumption].
% 15.93/16.28  30 multiply(sk_c3,sk_c5) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_21) # label(negated_conjecture).  [assumption].
% 15.93/16.28  32 multiply(sk_c3,sk_c5) = sk_c7 | multiply(sk_c4,sk_c6) = sk_c7 # label(prove_this_25) # label(negated_conjecture).  [assumption].
% 15.93/16.28  33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom).  [assumption].
% 15.93/16.28  34 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,A) != sk_c6 | multiply(B,sk_c7) != A | inverse(B) != sk_c7 | multiply(C,sk_c5) != sk_c7 | inverse(C) != sk_c5 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(D) != sk_c7 | multiply(D,sk_c6) != sk_c7 # label(prove_this_31) # label(negated_conjecture).  [assumption].
% 15.93/16.28  50 inverse(sk_c6) = sk_c5 | multiply(sk_c7,sk_c1) = identity.  [para(3(a,1),2(a,1,1))].
% 15.93/16.28  52 inverse(sk_c6) = sk_c5 | multiply(sk_c5,sk_c3) = identity.  [para(5(a,1),2(a,1,1))].
% 15.93/16.28  53 inverse(sk_c4) = sk_c7 | multiply(sk_c5,sk_c3) = identity.  [para(6(a,1),2(a,1,1))].
% 15.93/16.28  54 multiply(inverse(A),multiply(A,B)) = B.  [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 15.93/16.28  55 inverse(sk_c6) = sk_c5 | multiply(sk_c5,multiply(sk_c7,A)) = multiply(sk_c6,A).  [para(7(a,1),33(a,1,1)),flip(b)].
% 15.93/16.28  57 inverse(sk_c4) = sk_c7 | multiply(sk_c5,multiply(sk_c7,A)) = multiply(sk_c6,A).  [para(8(a,1),33(a,1,1)),flip(b)].
% 15.93/16.28  60 inverse(sk_c6) = sk_c5 | multiply(A,multiply(sk_c7,sk_c2)) = multiply(A,sk_c6).  [para(9(a,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  61 inverse(sk_c4) = sk_c7 | multiply(sk_c7,multiply(sk_c2,A)) = multiply(sk_c6,A).  [para(10(a,1),33(a,1,1)),flip(b)].
% 15.93/16.28  64 inverse(sk_c6) = sk_c5 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c2).  [para(11(a,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  66 inverse(sk_c4) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c2).  [para(12(a,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  74 inverse(sk_c6) = sk_c5 | multiply(A,multiply(sk_c3,sk_c5)) = multiply(A,sk_c7).  [para(16(a,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  76 inverse(sk_c4) = sk_c7 | multiply(A,multiply(sk_c3,sk_c5)) = multiply(A,sk_c7).  [para(17(a,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  77 inverse(sk_c3) = sk_c5 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A).  [para(18(b,1),33(a,1,1)),flip(b)].
% 15.93/16.28  81 inverse(sk_c3) = sk_c5 | multiply(sk_c4,multiply(sk_c6,A)) = multiply(sk_c7,A).  [para(20(b,1),33(a,1,1)),flip(b)].
% 15.93/16.28  100 multiply(sk_c4,sk_c6) = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c2).  [para(29(a,1),33(a,2,2)),rewrite([33(9)])].
% 15.93/16.28  124 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,A) != sk_c6 | multiply(B,sk_c7) != A | inverse(B) != sk_c7 | identity != sk_c7 | inverse(inverse(sk_c5)) != sk_c5 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7.  [para(2(a,1),34(e,1))].
% 15.93/16.28  132 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,A) != sk_c6 | multiply(B,sk_c7) != A | inverse(B) != sk_c7 | multiply(C,multiply(D,sk_c5)) != sk_c7 | inverse(multiply(C,D)) != sk_c5 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(E) != sk_c7 | multiply(E,sk_c6) != sk_c7.  [para(33(a,1),34(e,1))].
% 15.93/16.28  220 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | inverse(multiply(A,B)) != sk_c5 | inverse(sk_c6) != sk_c5 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7.  [factor(132,c,g),merge(h)].
% 15.93/16.28  299 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | inverse(multiply(A,B)) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [factor(220,d,h)].
% 15.93/16.28  320 inverse(sk_c6) = sk_c5 | multiply(A,multiply(sk_c7,sk_c1)) = multiply(A,identity).  [para(50(b,1),33(a,2,2)),rewrite([33(8)])].
% 15.93/16.28  326 multiply(inverse(inverse(A)),identity) = A.  [para(2(a,1),54(a,1,2))].
% 15.93/16.28  330 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = sk_c7.  [para(7(a,1),54(a,1,2))].
% 15.93/16.28  340 inverse(sk_c4) = sk_c7 | multiply(inverse(sk_c3),sk_c7) = sk_c5.  [para(17(a,1),54(a,1,2))].
% 15.93/16.28  355 multiply(sk_c4,sk_c6) = sk_c7 | multiply(inverse(sk_c3),sk_c7) = sk_c5.  [para(32(a,1),54(a,1,2))].
% 15.93/16.28  358 multiply(inverse(inverse(A)),B) = multiply(A,B).  [para(54(a,1),54(a,1,2))].
% 15.93/16.28  359 multiply(A,identity) = A.  [back_rewrite(326),rewrite([358(4)])].
% 15.93/16.28  361 inverse(sk_c6) = sk_c5 | multiply(A,multiply(sk_c7,sk_c1)) = A.  [back_rewrite(320),rewrite([359(10)])].
% 15.93/16.28  366 inverse(identity) = identity.  [para(359(a,1),2(a,1))].
% 15.93/16.28  414 inverse(sk_c6) = sk_c5 | inverse(sk_c5) = sk_c3.  [para(52(b,1),54(a,1,2)),rewrite([359(8)])].
% 15.93/16.28  415 inverse(sk_c6) = sk_c5 | multiply(sk_c3,sk_c5) = identity.  [para(414(b,1),2(a,1,1))].
% 15.93/16.28  418 inverse(sk_c4) = sk_c7 | inverse(sk_c5) = sk_c3.  [para(53(b,1),54(a,1,2)),rewrite([359(8)])].
% 15.93/16.28  421 inverse(sk_c6) = sk_c5 | multiply(sk_c6,sk_c1) = sk_c5.  [para(50(b,1),55(b,1,2)),rewrite([359(11)]),flip(c),merge(b)].
% 15.93/16.28  440 multiply(A,inverse(A)) = identity.  [para(358(a,1),2(a,1))].
% 15.93/16.28  469 multiply(A,multiply(inverse(A),B)) = B.  [para(358(a,1),54(a,1))].
% 15.93/16.28  470 inverse(inverse(A)) = A.  [para(358(a,1),359(a,1)),rewrite([359(2)]),flip(a)].
% 15.93/16.28  499 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,A) != sk_c6 | multiply(B,sk_c7) != A | inverse(B) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7.  [back_rewrite(124),rewrite([470(21)]),xx(f)].
% 15.93/16.28  503 inverse(sk_c5) = sk_c3 | inverse(sk_c7) = sk_c4.  [para(418(a,1),470(a,1,1))].
% 15.93/16.28  504 inverse(sk_c6) = sk_c5 | multiply(sk_c1,sk_c7) = identity.  [para(3(a,1),440(a,1,2))].
% 15.93/16.28  505 inverse(sk_c4) = sk_c7 | multiply(sk_c1,sk_c7) = identity.  [para(4(a,1),440(a,1,2))].
% 15.93/16.28  506 inverse(sk_c4) = sk_c7 | multiply(sk_c3,sk_c5) = identity.  [para(6(a,1),440(a,1,2))].
% 15.93/16.28  507 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity.  [para(440(a,1),33(a,1)),flip(a)].
% 15.93/16.28  656 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c6),sk_c5) = sk_c1.  [para(421(b,1),54(a,1,2))].
% 15.93/16.28  721 inverse(sk_c4) = sk_c7 | multiply(sk_c6,inverse(sk_c2)) = sk_c7.  [para(440(a,1),61(b,1,2)),rewrite([359(7)]),flip(b)].
% 15.93/16.28  795 inverse(sk_c4) = sk_c7 | identity = sk_c7.  [para(506(b,1),17(a,1)),merge(c)].
% 15.93/16.28  889 inverse(sk_c6) = sk_c5 | multiply(A,sk_c2) = A.  [para(504(b,1),64(b,1,2)),rewrite([359(10)]),flip(c),merge(b)].
% 15.93/16.28  990 inverse(sk_c6) = sk_c5 | inverse(sk_c2) = identity.  [para(889(b,1),2(a,1))].
% 15.93/16.28  1013 inverse(sk_c4) = sk_c7 | multiply(A,sk_c2) = A.  [para(505(b,1),66(b,1,2)),rewrite([359(10)]),flip(c),merge(b)].
% 15.93/16.28  1057 inverse(sk_c6) = sk_c5 | multiply(sk_c2,A) = A.  [para(990(b,1),54(a,1,1)),rewrite([1(8)])].
% 15.93/16.28  1224 inverse(sk_c4) = sk_c7 | inverse(sk_c2) = identity.  [para(1013(b,1),2(a,1))].
% 15.93/16.28  1345 inverse(sk_c4) = sk_c7 | multiply(sk_c2,A) = A.  [para(1224(b,1),54(a,1,1)),rewrite([1(8)])].
% 15.93/16.28  1468 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c2),A) = A.  [para(1057(b,1),54(a,1,2))].
% 15.93/16.28  1508 inverse(sk_c4) = sk_c7 | multiply(inverse(sk_c2),A) = A.  [para(1345(b,1),54(a,1,2))].
% 15.93/16.28  1551 inverse(sk_c6) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7.  [para(414(b,1),330(b,1,1)),merge(b)].
% 15.93/16.28  1555 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c3),sk_c7) = sk_c6.  [para(1551(b,1),54(a,1,2))].
% 15.93/16.28  2014 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | sk_c7 != A | inverse(multiply(A,inverse(sk_c5))) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [para(2(a,1),299(e,1,2)),rewrite([359(21)]),flip(e)].
% 15.93/16.28  2034 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(A,B) != sk_c7 | inverse(multiply(A,multiply(B,inverse(sk_c5)))) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [para(33(a,1),2014(f,1,1)),flip(e)].
% 15.93/16.28  2094 inverse(sk_c4) = sk_c7 | multiply(sk_c5,sk_c7) = sk_c5.  [para(6(a,1),340(b,1,1)),merge(b)].
% 15.93/16.28  2108 inverse(sk_c6) = sk_c5 | multiply(A,sk_c7) = A.  [para(415(b,1),74(b,1,2)),rewrite([359(10)]),flip(c),merge(b)].
% 15.93/16.28  2213 inverse(sk_c4) = sk_c7 | sk_c5 = sk_c6.  [para(2094(b,1),8(a,1)),merge(c)].
% 15.93/16.28  2225 sk_c5 = sk_c6 | multiply(sk_c4,multiply(sk_c7,A)) = A.  [para(2213(a,1),469(a,1,2,1))].
% 15.93/16.28  2423 inverse(sk_c4) = sk_c7 | multiply(A,sk_c7) = A.  [para(506(b,1),76(b,1,2)),rewrite([359(10)]),flip(c),merge(b)].
% 15.93/16.28  2531 inverse(sk_c3) = sk_c5 | multiply(sk_c5,inverse(sk_c7)) = sk_c6.  [para(440(a,1),77(b,1,2)),rewrite([359(7)]),flip(b)].
% 15.93/16.28  3066 inverse(sk_c4) = sk_c7 | inverse(sk_c7) = identity.  [para(2423(b,1),2(a,1))].
% 15.93/16.28  3331 inverse(sk_c3) = sk_c5 | multiply(sk_c4,multiply(sk_c6,sk_c5)) = sk_c6.  [para(19(b,1),81(b,2)),merge(b)].
% 15.93/16.28  3476 inverse(sk_c7) = identity | inverse(sk_c7) = sk_c4.  [para(3066(a,1),470(a,1,1))].
% 15.93/16.28  4538 multiply(A,inverse(multiply(B,A))) = inverse(B).  [para(507(a,1),54(a,1,2)),rewrite([359(3)]),flip(a)].
% 15.93/16.28  4607 inverse(sk_c3) = sk_c5 | multiply(sk_c6,inverse(sk_c7)) = inverse(sk_c4).  [para(20(b,1),4538(a,1,2,1))].
% 15.93/16.28  4609 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c7,inverse(sk_c6)) = inverse(sk_c5).  [para(22(a,1),4538(a,1,2,1))].
% 15.93/16.28  4627 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).  [para(4538(a,1),54(a,1,2)),flip(a)].
% 15.93/16.28  5392 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(A,B) != sk_c7 | multiply(sk_c5,multiply(inverse(B),inverse(A))) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(2034),rewrite([4627(27),4627(26),470(25),33(27)])].
% 15.93/16.28  5411 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | sk_c7 != A | multiply(sk_c5,inverse(A)) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(2014),rewrite([4627(25),470(24)])].
% 15.93/16.28  5647 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(299),rewrite([4627(26)])].
% 15.93/16.28  6916 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | inverse(A) != sk_c7 | multiply(sk_c5,A) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [para(470(a,1),5411(f,1,2)),flip(e)].
% 15.93/16.28  6988 inverse(sk_c6) = sk_c5 | inverse(sk_c2) = sk_c7.  [para(1468(b,1),2108(b,1)),flip(c),merge(b)].
% 15.93/16.28  6992 inverse(sk_c6) = sk_c5 | multiply(sk_c7,sk_c2) = identity.  [para(6988(b,1),2(a,1,1))].
% 15.93/16.28  7114 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c7 | multiply(inverse(A),sk_c5) != sk_c7 | sk_c5 != A | inverse(sk_c6) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [para(469(a,1),6916(f,1)),rewrite([4627(23),470(23)]),flip(f)].
% 15.93/16.28  7132 inverse(sk_c6) = sk_c5 | multiply(A,sk_c6) = A.  [para(6992(b,1),60(b,1,2)),rewrite([359(10)]),flip(c),merge(b)].
% 15.93/16.28  7634 inverse(sk_c6) = sk_c5 | inverse(sk_c6) = identity.  [para(7132(b,1),2(a,1))].
% 15.93/16.28  7647 inverse(sk_c6) = sk_c5 | inverse(sk_c2) = sk_c6.  [para(7132(b,1),1468(b,1)),merge(b)].
% 15.93/16.28  7745 inverse(sk_c6) = sk_c5 | multiply(sk_c6,A) = A.  [para(7634(b,1),54(a,1,1)),rewrite([1(8)])].
% 15.93/16.28  7814 inverse(sk_c6) = sk_c5 | inverse(sk_c6) = sk_c2.  [para(7647(b,1),470(a,1,1))].
% 15.93/16.28  7988 inverse(sk_c6) = sk_c5 | multiply(sk_c2,sk_c5) = sk_c1.  [para(7814(b,1),656(b,1,1)),merge(b)].
% 15.93/16.28  8038 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c6),A) = A.  [para(7745(b,1),54(a,1,2))].
% 15.93/16.28  8315 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c2),sk_c1) = sk_c5.  [para(7988(b,1),54(a,1,2))].
% 15.93/16.28  8333 inverse(sk_c4) = sk_c7 | inverse(sk_c2) = sk_c2.  [para(1508(b,1),1013(b,1)),flip(c),merge(b)].
% 15.93/16.28  8336 inverse(sk_c4) = sk_c7 | inverse(sk_c2) = sk_c7.  [para(1508(b,1),2423(b,1)),flip(c),merge(b)].
% 15.93/16.28  8339 inverse(sk_c4) = sk_c7 | multiply(sk_c6,sk_c2) = sk_c7.  [para(8333(b,1),721(b,1,2)),merge(b)].
% 15.93/16.28  8340 inverse(sk_c4) = sk_c7 | multiply(sk_c7,sk_c2) = identity.  [para(8336(b,1),2(a,1,1))].
% 15.93/16.28  8408 inverse(sk_c4) = sk_c7 | multiply(sk_c6,sk_c2) = sk_c5.  [para(8340(b,1),57(b,1,2)),rewrite([359(11)]),flip(c),merge(b)].
% 15.93/16.28  8589 inverse(sk_c4) = sk_c7 | sk_c5 = sk_c7.  [para(8408(b,1),8339(b,1)),merge(b)].
% 15.93/16.28  8592 sk_c5 = sk_c7 | inverse(sk_c7) = sk_c4.  [para(8589(a,1),470(a,1,1))].
% 15.93/16.28  8594 sk_c5 = sk_c7 | multiply(sk_c4,multiply(sk_c7,A)) = A.  [para(8589(a,1),469(a,1,2,1))].
% 15.93/16.28  9101 inverse(sk_c6) = sk_c5 | inverse(sk_c3) = sk_c6.  [para(1555(b,1),2108(b,1)),flip(c),merge(b)].
% 15.93/16.28  9104 inverse(sk_c6) = sk_c5 | inverse(sk_c6) = sk_c3.  [para(9101(b,1),470(a,1,1))].
% 15.93/16.28  9111 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,A) != sk_c6 | sk_c7 != A | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(B) != sk_c7 | multiply(B,sk_c6) != sk_c7.  [para(1(a,1),499(c,1)),rewrite([366(13)]),merge(e)].
% 15.93/16.28  9117 multiply(sk_c5,sk_c7) != sk_c6 | multiply(inverse(sk_c7),sk_c6) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7.  [resolve(9111,b,469,a),flip(b)].
% 15.93/16.28  9121 multiply(sk_c5,sk_c7) != sk_c6 | multiply(inverse(sk_c7),sk_c6) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c6) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6.  [factor(9117,b,h),rewrite([470(31)]),xx(g)].
% 15.93/16.28  9513 inverse(sk_c3) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7).  [para(2531(b,1),54(a,1,2))].
% 15.93/16.28  10745 inverse(sk_c6) = sk_c5 | multiply(sk_c3,A) = A.  [para(9104(b,1),8038(b,1,1)),merge(b)].
% 15.93/16.28  10803 inverse(sk_c6) = sk_c5 | sk_c3 = sk_c6.  [para(10745(b,1),7132(b,1)),flip(c),merge(b)].
% 15.93/16.28  10807 sk_c3 = sk_c6 | inverse(sk_c5) = sk_c6.  [para(10803(a,1),470(a,1,1))].
% 15.93/16.28  10823 sk_c3 = sk_c6 | inverse(sk_c7) = sk_c4.  [para(10807(b,1),503(a,1)),flip(b),merge(b)].
% 15.93/16.28  11038 inverse(sk_c6) = sk_c5 | multiply(sk_c7,sk_c1) = sk_c5.  [para(6988(b,1),8315(b,1,1)),merge(b)].
% 15.93/16.28  12563 inverse(sk_c6) = sk_c5 | multiply(A,sk_c5) = A.  [para(11038(b,1),361(b,1,2)),merge(b)].
% 15.93/16.28  12745 inverse(sk_c6) = sk_c5.  [para(12563(b,1),8038(b,1)),merge(b),merge(c)].
% 15.93/16.28  13619 multiply(sk_c5,sk_c7) != sk_c6 | multiply(inverse(sk_c7),sk_c6) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c7,sk_c5) != sk_c6.  [back_rewrite(9121),rewrite([12745(21)]),xx(e)].
% 15.93/16.28  13745 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(inverse(A),sk_c5) != sk_c7 | sk_c5 != A | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(7114),rewrite([12745(17),12745(27)]),xx(g)].
% 15.93/16.28  13806 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(5647),rewrite([12745(17),12745(30)]),xx(g)].
% 15.93/16.28  13845 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,B) != sk_c7 | multiply(sk_c5,multiply(inverse(B),inverse(A))) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(5392),rewrite([12745(17),12745(30)]),xx(g)].
% 15.93/16.28  13906 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c7,sk_c5) = inverse(sk_c5).  [back_rewrite(4609),rewrite([12745(8)])].
% 15.93/16.28  14115 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(inverse(sk_c7),sk_c5) != sk_c7 | multiply(sk_c6,sk_c6) != sk_c7.  [factor(13745,d,f)].
% 15.93/16.28  14116 multiply(sk_c5,sk_c6) = identity.  [para(12745(a,1),2(a,1,1))].
% 15.93/16.28  14118 inverse(sk_c5) = sk_c6.  [para(12745(a,1),470(a,1,1))].
% 15.93/16.28  14119 multiply(sk_c6,sk_c5) = identity.  [para(12745(a,1),440(a,1,2))].
% 15.93/16.28  14145 multiply(sk_c7,sk_c5) = sk_c6.  [back_rewrite(13906),rewrite([14118(10)]),merge(b)].
% 15.93/16.28  14224 inverse(sk_c3) = sk_c5 | multiply(sk_c6,sk_c6) = inverse(sk_c7).  [back_rewrite(9513),rewrite([14118(6)])].
% 15.93/16.28  14451 inverse(sk_c3) = sk_c5 | sk_c4 = sk_c6.  [back_rewrite(3331),rewrite([14119(8),359(7)])].
% 15.93/16.28  14459 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(inverse(sk_c7),sk_c5) != sk_c7 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(14115),rewrite([14145(8)]),xx(b)].
% 15.93/16.28  14555 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,B) != sk_c7 | multiply(sk_c5,multiply(inverse(B),inverse(A))) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(13845),rewrite([14145(8)]),xx(b)].
% 15.93/16.28  14567 multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(13806),rewrite([14145(8)]),xx(b)].
% 15.93/16.28  14657 multiply(sk_c5,sk_c7) != sk_c6 | multiply(inverse(sk_c7),sk_c6) != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5.  [back_rewrite(13619),rewrite([14145(22)]),xx(e)].
% 15.93/16.28  15362 multiply(sk_c7,multiply(sk_c5,A)) = multiply(sk_c6,A).  [para(14145(a,1),33(a,1,1)),flip(a)].
% 15.93/16.28  15363 multiply(inverse(sk_c7),sk_c6) = sk_c5.  [para(14145(a,1),54(a,1,2))].
% 15.93/16.28  15375 sk_c5 = sk_c6 | multiply(sk_c4,sk_c6) = sk_c5.  [para(14145(a,1),2225(b,1,2))].
% 15.93/16.28  15379 multiply(sk_c6,inverse(sk_c7)) = sk_c5.  [para(14145(a,1),4627(a,1,1)),rewrite([12745(2),14118(3)]),flip(a)].
% 15.93/16.28  15382 sk_c5 = sk_c7 | multiply(sk_c4,sk_c6) = sk_c5.  [para(14145(a,1),8594(b,1,2))].
% 15.93/16.28  15436 multiply(sk_c5,sk_c7) != sk_c6 | sk_c5 != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5.  [back_rewrite(14657),rewrite([15363(9)])].
% 15.93/16.28  15467 inverse(sk_c3) = sk_c5 | inverse(sk_c4) = sk_c5.  [back_rewrite(4607),rewrite([15379(8)]),flip(b)].
% 15.93/16.28  15480 multiply(sk_c5,sk_c7) = sk_c6.  [para(15363(a,1),4627(a,1,1)),rewrite([14118(2),12745(3),470(5)]),flip(a)].
% 15.93/16.28  15481 sk_c3 = sk_c6 | multiply(sk_c4,sk_c6) = sk_c5.  [para(10823(b,1),15363(a,1,1))].
% 15.93/16.28  15511 sk_c5 != sk_c7 | identity != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5.  [back_rewrite(15436),rewrite([15480(3)]),xx(a)].
% 15.93/16.28  16105 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(14567),rewrite([15480(3)]),xx(a)].
% 15.93/16.28  16112 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,B) != sk_c7 | multiply(sk_c5,multiply(inverse(B),inverse(A))) != sk_c5 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(14555),rewrite([15480(3)]),xx(a)].
% 15.93/16.28  16176 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(inverse(sk_c7),sk_c5) != sk_c7 | multiply(sk_c6,sk_c6) != sk_c7.  [back_rewrite(14459),rewrite([15480(3)]),xx(a)].
% 15.93/16.28  16313 multiply(sk_c6,sk_c6) = sk_c7.  [para(15480(a,1),54(a,1,2)),rewrite([14118(2)])].
% 15.93/16.28  16345 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(inverse(sk_c7),sk_c5) != sk_c7.  [back_rewrite(16176),rewrite([16313(17)]),xx(d)].
% 15.93/16.28  16350 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,B) != sk_c7 | multiply(sk_c5,multiply(inverse(B),inverse(A))) != sk_c5.  [back_rewrite(16112),rewrite([16313(21)]),xx(e)].
% 15.93/16.28  16353 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5.  [back_rewrite(16105),rewrite([16313(21)]),xx(e)].
% 15.93/16.28  16374 inverse(sk_c3) = sk_c5 | inverse(sk_c7) = sk_c7.  [back_rewrite(14224),rewrite([16313(7)]),flip(b)].
% 15.93/16.28  16418 inverse(sk_c7) = sk_c4 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7.  [para(3476(a,1),16345(c,1,1)),rewrite([1(15)]),merge(d)].
% 15.93/16.28  16434 multiply(sk_c5,sk_c5) = inverse(sk_c7).  [para(16313(a,1),4627(a,1,1)),rewrite([12745(4),12745(5)]),flip(a)].
% 15.93/16.28  17363 sk_c5 = sk_c7 | inverse(sk_c1) = sk_c7.  [para(15382(b,1),15(b,1)),merge(c)].
% 15.93/16.28  17364 sk_c5 = sk_c7 | inverse(sk_c3) = sk_c5.  [para(15382(b,1),20(b,1)),merge(c)].
% 15.93/16.28  17365 sk_c5 = sk_c7 | multiply(sk_c7,sk_c2) = sk_c6.  [para(15382(b,1),26(b,1)),merge(c)].
% 15.93/16.28  17372 sk_c5 = sk_c7 | inverse(sk_c7) = sk_c1.  [para(17363(b,1),470(a,1,1))].
% 15.93/16.28  17383 sk_c5 = sk_c7 | multiply(sk_c5,sk_c3) = identity.  [para(17364(b,1),2(a,1,1))].
% 15.93/16.28  17386 sk_c5 = sk_c7 | multiply(sk_c3,sk_c5) = identity.  [para(17364(b,1),440(a,1,2))].
% 15.93/16.28  17714 inverse(sk_c4) = sk_c5 | sk_c3 = sk_c6.  [para(15467(a,1),470(a,1,1)),rewrite([14118(6)]),flip(b)].
% 15.93/16.28  17893 sk_c3 = sk_c6 | multiply(sk_c5,sk_c4) = identity.  [para(17714(a,1),2(a,1,1))].
% 15.93/16.28  17948 sk_c3 = sk_c6 | multiply(inverse(sk_c4),sk_c5) = sk_c6.  [para(15481(b,1),54(a,1,2))].
% 15.93/16.28  18125 inverse(sk_c7) = sk_c7 | sk_c3 = sk_c6.  [para(16374(a,1),470(a,1,1)),rewrite([14118(6)]),flip(b)].
% 15.93/16.28  18183 sk_c3 = sk_c6 | multiply(sk_c7,sk_c6) = sk_c5.  [para(18125(a,1),15363(a,1,1))].
% 15.93/16.28  18185 sk_c3 = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5.  [para(18125(a,1),15379(a,1,2))].
% 15.93/16.28  18316 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(sk_c5,A) != sk_c7 | multiply(sk_c5,multiply(inverse(A),sk_c6)) != sk_c5.  [para(14118(a,1),16350(d,1,2,2))].
% 15.93/16.28  18597 sk_c4 = sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(sk_c5,sk_c3) != sk_c7.  [para(14451(a,1),18316(d,1,2,1)),rewrite([14116(20),359(19)]),xx(e)].
% 15.93/16.28  18685 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(A,inverse(sk_c7)) != sk_c7 | multiply(sk_c6,inverse(A)) != sk_c5.  [para(16434(a,1),16353(c,1,2)),rewrite([14118(15)])].
% 15.93/16.28  18698 multiply(sk_c6,sk_c7) != sk_c5 | sk_c5 != sk_c7 | multiply(sk_c5,inverse(sk_c7)) != sk_c7.  [para(14118(a,1),18685(d,1,2)),rewrite([16313(17)]),flip(d),merge(d)].
% 15.93/16.28  18967 sk_c5 = sk_c7 | multiply(sk_c4,sk_c6) = sk_c2.  [para(17365(b,1),8594(b,1,2)),merge(b)].
% 15.93/16.28  19252 sk_c3 = sk_c6 | sk_c5 != sk_c7 | identity != sk_c7.  [resolve(18185,b,15511,c)].
% 15.93/16.28  19944 multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6).  [para(15480(a,1),15362(a,1,2)),flip(a)].
% 15.93/16.28  20024 multiply(sk_c7,sk_c6) != sk_c5 | sk_c5 != sk_c7 | multiply(sk_c5,inverse(sk_c7)) != sk_c7.  [back_rewrite(18698),rewrite([19944(3)])].
% 15.93/16.28  20033 sk_c4 = sk_c6 | multiply(sk_c7,sk_c6) != sk_c5 | sk_c5 != sk_c7 | multiply(sk_c5,sk_c3) != sk_c7.  [back_rewrite(18597),rewrite([19944(6)])].
% 15.93/16.28  20228 inverse(sk_c7) = sk_c4 | multiply(sk_c7,sk_c6) != sk_c5 | sk_c5 != sk_c7.  [back_rewrite(16418),rewrite([19944(7)])].
% 15.93/16.28  21136 multiply(sk_c3,sk_c5) = sk_c7 | multiply(sk_c7,sk_c6) = sk_c5.  [back_rewrite(30),rewrite([19944(8)])].
% 15.93/16.28  22723 sk_c3 = sk_c6 | inverse(sk_c7) = sk_c6.  [para(17714(a,1),17948(b,1,1)),rewrite([16434(9)]),merge(b)].
% 15.93/16.28  22734 sk_c3 = sk_c6 | multiply(sk_c7,sk_c6) = identity.  [para(22723(b,1),2(a,1,1)),rewrite([19944(6)])].
% 15.93/16.28  22756 sk_c3 = sk_c6 | identity = sk_c5.  [para(22734(b,1),18183(b,1)),merge(b)].
% 15.93/16.28  22757 sk_c3 = sk_c6 | multiply(sk_c5,A) = A.  [para(22756(b,1),1(a,1,1))].
% 15.93/16.28  22759 sk_c3 = sk_c6 | identity = sk_c6.  [para(22756(b,1),366(a,1,1)),rewrite([14118(5)]),flip(b)].
% 15.93/16.28  22868 sk_c3 = sk_c6 | sk_c5 = sk_c6.  [para(22759(b,1),22756(b,1)),flip(c),merge(b)].
% 15.93/16.28  22872 sk_c5 = sk_c6 | multiply(sk_c4,sk_c6) = sk_c7.  [para(22868(a,1),355(b,1,1,1)),rewrite([12745(10),15480(11)]),flip(c),merge(c)].
% 15.93/16.28  22881 sk_c3 = sk_c6 | identity = sk_c4.  [para(22757(b,1),17893(b,1)),flip(c),merge(b)].
% 15.93/16.28  22895 sk_c3 = sk_c6 | inverse(sk_c4) = identity.  [para(22881(b,1),366(a,1,1))].
% 15.93/16.28  22982 sk_c3 = sk_c6 | identity = sk_c7.  [para(22895(b,1),795(a,1)),merge(c)].
% 15.93/16.28  23331 sk_c5 = sk_c6 | sk_c5 = sk_c7.  [para(22872(b,1),15375(b,1)),flip(c),merge(b)].
% 15.93/16.28  23337 sk_c5 = sk_c7 | identity = sk_c7.  [para(23331(a,1),14116(a,1,1)),rewrite([16313(6)]),flip(b)].
% 15.93/16.28  23339 sk_c5 = sk_c7 | inverse(sk_c7) = identity.  [para(23331(a,1),16434(a,1,1)),rewrite([14119(6)]),flip(b)].
% 15.93/16.28  23366 sk_c5 = sk_c7 | multiply(sk_c3,sk_c6) = identity.  [para(23331(a,1),17386(b,1,2)),merge(b)].
% 15.93/16.28  23420 sk_c5 = sk_c7 | multiply(sk_c5,sk_c3) = sk_c7.  [para(23337(b,1),17383(b,2)),merge(b)].
% 15.93/16.28  23433 sk_c5 = sk_c7 | identity = sk_c4.  [para(23339(b,1),8592(b,1)),merge(b)].
% 15.93/16.28  23444 sk_c5 = sk_c7 | identity = sk_c1.  [para(23339(b,1),17372(b,1)),merge(b)].
% 15.93/16.28  23501 sk_c5 = sk_c7 | sk_c4 = sk_c7.  [para(23433(b,1),23337(b,1)),merge(b)].
% 15.93/16.28  23578 sk_c5 = sk_c7 | multiply(sk_c7,sk_c6) = sk_c2.  [para(23501(b,1),18967(b,1,1)),merge(b)].
% 15.93/16.28  23995 sk_c5 = sk_c7 | multiply(sk_c3,sk_c6) = sk_c1.  [para(23444(b,1),23366(b,2)),merge(b)].
% 15.93/16.28  24007 sk_c5 = sk_c7 | multiply(sk_c7,sk_c6) = sk_c3.  [para(23420(b,1),54(a,1,2)),rewrite([14118(5),19944(6)])].
% 15.93/16.28  24411 sk_c5 = sk_c7 | sk_c3 = sk_c2.  [para(24007(b,1),23578(b,1)),merge(b)].
% 15.93/16.28  24427 sk_c5 = sk_c7 | multiply(sk_c2,sk_c6) = sk_c1.  [para(24411(b,1),23995(b,1,1)),merge(b)].
% 15.93/16.28  24625 sk_c5 = sk_c7 | multiply(inverse(sk_c2),sk_c1) = sk_c6.  [para(24427(b,1),54(a,1,2))].
% 15.93/16.28  24933 sk_c3 = sk_c6 | sk_c5 != sk_c7.  [resolve(19252,c,22982,b),merge(c)].
% 15.93/16.28  26568 sk_c5 = sk_c7 | multiply(inverse(sk_c1),sk_c2) = sk_c5.  [para(24625(b,1),4627(a,1,1)),rewrite([12745(5),470(9)]),flip(b)].
% 15.93/16.28  27616 sk_c5 = sk_c7 | multiply(sk_c4,sk_c6) = sk_c7.  [para(26568(b,1),100(b,2)),rewrite([54(14)]),flip(c),merge(c)].
% 15.93/16.28  27639 sk_c5 = sk_c7.  [para(27616(b,1),15382(b,1)),flip(c),merge(b),merge(c)].
% 15.93/16.28  28585 sk_c3 = sk_c6.  [back_rewrite(24933),rewrite([27639(4)]),xx(b)].
% 15.93/16.28  28950 multiply(sk_c7,sk_c6) = sk_c7.  [back_rewrite(21136),rewrite([28585(1),27639(2),19944(3),27639(9)]),merge(b)].
% 15.93/16.28  29089 inverse(sk_c7) = sk_c4.  [back_rewrite(20228),rewrite([28950(7),27639(6),27639(8)]),xx(b),xx(c)].
% 15.93/16.28  29108 sk_c4 = sk_c6.  [back_rewrite(20033),rewrite([28950(6),27639(5),27639(7),27639(10),28585(11),28950(12)]),xx(b),xx(c),xx(d)].
% 15.93/16.28  29114 $F.  [back_rewrite(20024),rewrite([28950(3),27639(2),27639(4),27639(7),29089(9),29108(8),28950(9)]),xx(a),xx(b),xx(c)].
% 15.93/16.28  
% 15.93/16.28  % SZS output end Refutation
% 15.93/16.28  ============================== end of proof ==========================
% 15.93/16.28  
% 15.93/16.28  ============================== STATISTICS ============================
% 15.93/16.28  
% 15.93/16.28  Given=3799. Generated=854555. Kept=29113. proofs=1.
% 15.93/16.28  Usable=999. Sos=3482. Demods=38. Limbo=1475, Disabled=23191. Hints=0.
% 15.93/16.28  Megabytes=24.46.
% 15.93/16.28  User_CPU=14.86, System_CPU=0.40, Wall_clock=16.
% 15.93/16.28  
% 15.93/16.28  ============================== end of statistics =====================
% 15.93/16.28  
% 15.93/16.28  ============================== end of search =========================
% 15.93/16.28  
% 15.93/16.28  THEOREM PROVED
% 15.93/16.28  % SZS status Unsatisfiable
% 15.93/16.28  
% 15.93/16.28  Exiting with 1 proof.
% 15.93/16.28  
% 15.93/16.28  Process 2656 exit (max_proofs) Tue Jun 14 03:09:07 2022
% 15.93/16.28  Prover9 interrupted
%------------------------------------------------------------------------------