TSTP Solution File: GRP212-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP212-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 11:18:10 EDT 2022
% Result : Unsatisfiable 18.07s 18.39s
% Output : Refutation 18.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP212-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n021.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 : Mon Jun 13 22:51:42 EDT 2022
% 0.14/0.34 % CPUTime :
% 5.15/5.46 ============================== Prover9 ===============================
% 5.15/5.46 Prover9 (32) version 2009-11A, November 2009.
% 5.15/5.46 Process 28002 was started by sandbox2 on n021.cluster.edu,
% 5.15/5.46 Mon Jun 13 22:51:43 2022
% 5.15/5.46 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27849_n021.cluster.edu".
% 5.15/5.46 ============================== end of head ===========================
% 5.15/5.46
% 5.15/5.46 ============================== INPUT =================================
% 5.15/5.46
% 5.15/5.46 % Reading from file /tmp/Prover9_27849_n021.cluster.edu
% 5.15/5.46
% 5.15/5.46 set(prolog_style_variables).
% 5.15/5.46 set(auto2).
% 5.15/5.46 % set(auto2) -> set(auto).
% 5.15/5.46 % set(auto) -> set(auto_inference).
% 5.15/5.46 % set(auto) -> set(auto_setup).
% 5.15/5.46 % set(auto_setup) -> set(predicate_elim).
% 5.15/5.46 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.15/5.46 % set(auto) -> set(auto_limits).
% 5.15/5.46 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.15/5.46 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.15/5.46 % set(auto) -> set(auto_denials).
% 5.15/5.46 % set(auto) -> set(auto_process).
% 5.15/5.46 % set(auto2) -> assign(new_constants, 1).
% 5.15/5.46 % set(auto2) -> assign(fold_denial_max, 3).
% 5.15/5.46 % set(auto2) -> assign(max_weight, "200.000").
% 5.15/5.46 % set(auto2) -> assign(max_hours, 1).
% 5.15/5.46 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.15/5.46 % set(auto2) -> assign(max_seconds, 0).
% 5.15/5.46 % set(auto2) -> assign(max_minutes, 5).
% 5.15/5.46 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.15/5.46 % set(auto2) -> set(sort_initial_sos).
% 5.15/5.46 % set(auto2) -> assign(sos_limit, -1).
% 5.15/5.46 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.15/5.46 % set(auto2) -> assign(max_megs, 400).
% 5.15/5.46 % set(auto2) -> assign(stats, some).
% 5.15/5.46 % set(auto2) -> clear(echo_input).
% 5.15/5.46 % set(auto2) -> set(quiet).
% 5.15/5.46 % set(auto2) -> clear(print_initial_clauses).
% 5.15/5.46 % set(auto2) -> clear(print_given).
% 5.15/5.46 assign(lrs_ticks,-1).
% 5.15/5.46 assign(sos_limit,10000).
% 5.15/5.46 assign(order,kbo).
% 5.15/5.46 set(lex_order_vars).
% 5.15/5.46 clear(print_given).
% 5.15/5.46
% 5.15/5.46 % formulas(sos). % not echoed (34 formulas)
% 5.15/5.46
% 5.15/5.46 ============================== end of input ==========================
% 5.15/5.46
% 5.15/5.46 % From the command line: assign(max_seconds, 300).
% 5.15/5.46
% 5.15/5.46 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.15/5.46
% 5.15/5.46 % Formulas that are not ordinary clauses:
% 5.15/5.46
% 5.15/5.46 ============================== end of process non-clausal formulas ===
% 5.15/5.46
% 5.15/5.46 ============================== PROCESS INITIAL CLAUSES ===============
% 5.15/5.46
% 5.15/5.46 ============================== PREDICATE ELIMINATION =================
% 5.15/5.46
% 5.15/5.46 ============================== end predicate elimination =============
% 5.15/5.46
% 5.15/5.46 Auto_denials: (non-Horn, no changes).
% 5.15/5.46
% 5.15/5.46 Term ordering decisions:
% 5.15/5.46
% 5.15/5.46 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 5.15/5.46 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c2=1. sk_c1=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c6=1. identity=1. multiply=1. inverse=0.
% 5.15/5.46
% 5.15/5.46 ============================== end of process initial clauses ========
% 5.15/5.46
% 5.15/5.46 ============================== CLAUSES FOR SEARCH ====================
% 5.15/5.46
% 5.15/5.46 ============================== end of clauses for search =============
% 5.15/5.46
% 5.15/5.46 ============================== SEARCH ================================
% 5.15/5.46
% 5.15/5.46 % Starting search at 0.02 seconds.
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=42.000, iters=3431
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=40.000, iters=3495
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=39.000, iters=3375
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=38.000, iters=3395
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=37.000, iters=3587
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=35.000, iters=3537
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=34.000, iters=3447
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=33.000, iters=3444
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=32.000, iters=3352
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=31.000, iters=3337
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=30.000, iters=3364
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=29.000, iters=3366
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=28.000, iters=3336
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=27.000, iters=3350
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=26.000, iters=3353
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=25.000, iters=3343
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=24.000, iters=3411
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=23.000, iters=3340
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=22.000, iters=3346
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=21.000, iters=3363
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=20.000, iters=3360
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=19.000, iters=3350
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=18.000, iters=3344
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=17.000, iters=3372
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=16.000, iters=3334
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=15.000, iters=3669
% 5.15/5.46
% 5.15/5.46 Low Water (keep): wt=14.000, iters=3342
% 18.07/18.39
% 18.07/18.39 Low Water (keep): wt=13.000, iters=3341
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4083, wt=49.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4084, wt=47.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4092, wt=45.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4135, wt=44.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4093, wt=43.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4136, wt=42.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=3619, wt=41.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=4140, wt=40.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=18524, wt=37.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=18593, wt=12.000
% 18.07/18.39
% 18.07/18.39 Low Water (displace): id=18860, wt=11.000
% 18.07/18.39
% 18.07/18.39 ============================== PROOF =================================
% 18.07/18.39 % SZS status Unsatisfiable
% 18.07/18.39 % SZS output start Refutation
% 18.07/18.39
% 18.07/18.39 % Proof 1 at 16.91 (+ 0.48) seconds.
% 18.07/18.39 % Length of proof is 190.
% 18.07/18.39 % Level of proof is 42.
% 18.07/18.39 % Maximum clause weight is 50.000.
% 18.07/18.39 % Given clauses 2901.
% 18.07/18.39
% 18.07/18.39 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 18.07/18.39 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 18.07/18.39 3 inverse(sk_c1) = sk_c2 | inverse(sk_c8) = sk_c7 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 18.07/18.39 4 inverse(sk_c1) = sk_c2 | inverse(sk_c4) = sk_c8 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 18.07/18.39 5 inverse(sk_c1) = sk_c2 | inverse(sk_c5) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 18.07/18.39 6 inverse(sk_c3) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 18.07/18.39 7 inverse(sk_c3) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 18.07/18.39 8 inverse(sk_c3) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 18.07/18.39 9 multiply(sk_c1,sk_c2) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 18.07/18.39 10 multiply(sk_c1,sk_c2) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 18.07/18.39 11 multiply(sk_c1,sk_c2) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 18.07/18.39 12 inverse(sk_c1) = sk_c2 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 18.07/18.39 13 inverse(sk_c1) = sk_c2 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 18.07/18.39 14 inverse(sk_c1) = sk_c2 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 18.07/18.39 18 inverse(sk_c3) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 18.07/18.39 19 inverse(sk_c3) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 18.07/18.39 20 inverse(sk_c3) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 18.07/18.39 21 multiply(sk_c3,sk_c7) = sk_c8 | inverse(sk_c8) = sk_c7 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 18.07/18.39 22 multiply(sk_c3,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 18.07/18.39 25 multiply(sk_c1,sk_c2) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 18.07/18.39 26 multiply(sk_c1,sk_c2) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 18.07/18.39 30 multiply(sk_c3,sk_c7) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 18.07/18.39 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 18.07/18.39 34 multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | inverse(D) != sk_c8 | multiply(D,sk_c7) != sk_c8 | multiply(sk_c8,E) != sk_c7 | multiply(F,sk_c8) != E | inverse(F) != sk_c8 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 18.07/18.39 42 multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,D) != sk_c7 | multiply(E,sk_c8) != D | inverse(E) != sk_c8. [factor(34,d,g),merge(g)].
% 18.07/18.39 71 inverse(sk_c8) = sk_c7 | multiply(sk_c2,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 18.07/18.39 72 inverse(sk_c1) = sk_c2 | multiply(sk_c8,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 18.07/18.39 74 inverse(sk_c8) = sk_c7 | multiply(sk_c8,sk_c3) = identity. [para(6(a,1),2(a,1,1))].
% 18.07/18.39 75 inverse(sk_c3) = sk_c8 | multiply(sk_c8,sk_c4) = identity. [para(7(b,1),2(a,1,1))].
% 18.07/18.39 76 inverse(sk_c3) = sk_c8 | multiply(sk_c8,sk_c5) = identity. [para(8(b,1),2(a,1,1))].
% 18.07/18.39 77 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 18.07/18.39 79 inverse(sk_c8) = sk_c7 | multiply(A,multiply(sk_c1,sk_c2)) = multiply(A,sk_c8). [para(9(a,1),33(a,2,2)),rewrite([33(8)])].
% 18.07/18.39 84 inverse(sk_c1) = sk_c2 | multiply(sk_c4,multiply(sk_c7,A)) = multiply(sk_c8,A). [para(12(b,1),33(a,1,1)),flip(b)].
% 18.07/18.39 87 inverse(sk_c1) = sk_c2 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(13(b,1),33(a,2,2)),rewrite([33(8)])].
% 18.07/18.39 88 inverse(sk_c1) = sk_c2 | multiply(sk_c5,multiply(sk_c8,A)) = multiply(sk_c6,A). [para(14(b,1),33(a,1,1)),flip(b)].
% 18.07/18.39 89 inverse(sk_c1) = sk_c2 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(14(b,1),33(a,2,2)),rewrite([33(8)])].
% 18.07/18.39 99 inverse(sk_c3) = sk_c8 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,sk_c7). [para(19(b,1),33(a,2,2)),rewrite([33(8)])].
% 18.07/18.39 111 multiply(sk_c8,sk_c6) = sk_c7 | multiply(A,multiply(sk_c1,sk_c2)) = multiply(A,sk_c8). [para(25(a,1),33(a,2,2)),rewrite([33(9)])].
% 18.07/18.39 113 multiply(sk_c1,sk_c2) = sk_c8 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(26(b,1),33(a,2,2)),rewrite([33(9)])].
% 18.07/18.39 171 multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(C) != sk_c8 | multiply(C,sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,identity) != sk_c7 | inverse(inverse(sk_c8)) != sk_c8. [resolve(42,h,2,a)].
% 18.07/18.39 178 identity != sk_c8 | inverse(inverse(A)) != A | multiply(A,sk_c7) != sk_c8 | inverse(B) != sk_c8 | multiply(B,sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,C) != sk_c7 | multiply(D,sk_c8) != C | inverse(D) != sk_c8. [para(2(a,1),42(a,1))].
% 18.07/18.39 368 multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | inverse(B) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,identity) != sk_c7 | inverse(inverse(sk_c8)) != sk_c8. [factor(171,c,e)].
% 18.07/18.39 393 identity != sk_c8 | inverse(inverse(A)) != A | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8. [factor(178,c,e)].
% 18.07/18.39 636 multiply(A,inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != inverse(A) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,identity) != sk_c7. [factor(368,d,g),flip(b)].
% 18.07/18.39 854 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),77(a,1,2))].
% 18.07/18.39 869 inverse(sk_c3) = sk_c8 | multiply(inverse(sk_c4),sk_c8) = sk_c7. [para(18(b,1),77(a,1,2))].
% 18.07/18.39 872 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c3),sk_c8) = sk_c7. [para(21(a,1),77(a,1,2))].
% 18.07/18.39 889 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c2),identity) = sk_c1. [para(71(b,1),77(a,1,2))].
% 18.07/18.39 890 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(77(a,1),77(a,1,2))].
% 18.07/18.39 894 multiply(A,identity) = A. [back_rewrite(854),rewrite([890(4)])].
% 18.07/18.39 895 inverse(sk_c8) = sk_c7 | inverse(sk_c2) = sk_c1. [back_rewrite(889),rewrite([894(8)])].
% 18.07/18.39 900 multiply(A,inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != inverse(A) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [back_rewrite(636),rewrite([894(27)]),flip(f)].
% 18.07/18.39 925 inverse(identity) = identity. [para(894(a,1),2(a,1))].
% 18.07/18.39 986 inverse(sk_c8) = sk_c7 | multiply(sk_c1,sk_c2) = identity. [para(895(b,1),2(a,1,1))].
% 18.07/18.39 1052 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = sk_c3. [para(74(b,1),77(a,1,2)),rewrite([894(8)])].
% 18.07/18.39 1080 inverse(sk_c3) = sk_c8 | inverse(sk_c8) = sk_c4. [para(75(b,1),77(a,1,2)),rewrite([894(8)])].
% 18.07/18.39 1089 inverse(sk_c8) = sk_c7 | multiply(sk_c3,sk_c8) = identity. [para(1052(b,1),2(a,1,1))].
% 18.07/18.39 1121 inverse(sk_c3) = sk_c8 | inverse(sk_c8) = sk_c5. [para(76(b,1),77(a,1,2)),rewrite([894(8)])].
% 18.07/18.39 1148 multiply(A,inverse(A)) = identity. [para(890(a,1),2(a,1))].
% 18.07/18.39 1190 multiply(A,multiply(inverse(A),B)) = B. [para(890(a,1),77(a,1))].
% 18.07/18.39 1191 inverse(inverse(A)) = A. [para(890(a,1),894(a,1)),rewrite([894(2)]),flip(a)].
% 18.07/18.39 1211 multiply(A,inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != inverse(A) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [back_rewrite(900),rewrite([1191(18)]),xx(d)].
% 18.07/18.39 1239 identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8. [back_rewrite(393),rewrite([1191(5)]),xx(b)].
% 18.07/18.39 1247 inverse(sk_c8) = sk_c4 | inverse(sk_c8) = sk_c3. [para(1080(a,1),1191(a,1,1))].
% 18.07/18.39 1248 inverse(sk_c8) = sk_c5 | inverse(sk_c8) = sk_c3. [para(1121(a,1),1191(a,1,1))].
% 18.07/18.39 1249 inverse(sk_c1) = sk_c2 | multiply(sk_c4,sk_c8) = identity. [para(4(b,1),1148(a,1,2))].
% 18.07/18.39 1250 inverse(sk_c1) = sk_c2 | multiply(sk_c5,sk_c8) = identity. [para(5(b,1),1148(a,1,2))].
% 18.07/18.39 1252 inverse(sk_c3) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(8(b,1),1148(a,1,2))].
% 18.07/18.39 1253 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(1148(a,1),33(a,1)),flip(a)].
% 18.07/18.39 1361 inverse(sk_c8) = sk_c3 | sk_c5 = sk_c4. [para(1248(a,1),1247(a,1)),merge(c)].
% 18.07/18.39 1393 sk_c5 = sk_c4 | multiply(sk_c3,sk_c8) = identity. [para(1361(a,1),2(a,1,1))].
% 18.07/18.39 1454 multiply(A,multiply(B,inverse(sk_c8))) != sk_c8 | inverse(multiply(A,B)) != inverse(sk_c8) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [para(33(a,1),1211(a,1)),flip(b)].
% 18.07/18.39 1471 sk_c5 = sk_c4 | multiply(A,multiply(sk_c3,sk_c8)) = A. [para(1393(b,1),33(a,2,2)),rewrite([33(7),894(9)])].
% 18.07/18.39 1498 inverse(sk_c8) = sk_c7 | identity = sk_c8. [para(986(b,1),9(a,1)),merge(c)].
% 18.07/18.39 1500 inverse(sk_c8) = sk_c7 | multiply(A,sk_c8) = A. [para(986(b,1),79(b,1,2)),rewrite([894(10)]),flip(c),merge(b)].
% 18.07/18.39 2035 inverse(sk_c3) = sk_c8 | identity = sk_c6. [para(1252(b,1),20(b,1)),merge(b)].
% 18.07/18.39 2039 identity = sk_c6 | inverse(sk_c8) = sk_c3. [para(2035(a,1),1191(a,1,1))].
% 18.07/18.39 2050 identity = sk_c6 | sk_c3 = sk_c7 | identity = sk_c8. [para(2039(b,1),1498(a,1))].
% 18.07/18.39 2121 inverse(sk_c1) = sk_c2 | multiply(sk_c4,multiply(sk_c7,multiply(sk_c8,sk_c6))) = multiply(sk_c8,sk_c7). [para(87(b,1),84(b,2)),merge(b)].
% 18.07/18.39 2261 inverse(sk_c1) = sk_c2 | multiply(sk_c6,sk_c4) = sk_c5. [para(72(b,1),88(b,1,2)),rewrite([894(11)]),flip(c),merge(b)].
% 18.07/18.39 2389 inverse(sk_c1) = sk_c2 | multiply(A,sk_c6) = A. [para(1250(b,1),89(b,1,2)),rewrite([894(10)]),flip(c),merge(b)].
% 18.07/18.39 2484 inverse(sk_c8) = sk_c7 | inverse(sk_c8) = identity. [para(1500(b,1),2(a,1))].
% 18.07/18.39 2489 inverse(sk_c8) = sk_c7 | identity = sk_c3. [para(1500(b,1),1089(b,1)),flip(c),merge(b)].
% 18.07/18.39 2550 inverse(sk_c8) = sk_c7 | multiply(sk_c8,A) = A. [para(2484(b,1),77(a,1,1)),rewrite([1(8)])].
% 18.07/18.39 2786 inverse(sk_c1) = sk_c2 | inverse(sk_c6) = identity. [para(2389(b,1),2(a,1))].
% 18.07/18.39 2787 inverse(sk_c1) = sk_c2 | sk_c7 = sk_c8. [para(2389(b,1),13(b,1)),flip(c),merge(b)].
% 18.07/18.39 2931 sk_c7 = sk_c8 | multiply(sk_c2,sk_c1) = identity. [para(2787(a,1),2(a,1,1))].
% 18.07/18.39 2932 sk_c7 = sk_c8 | multiply(sk_c2,multiply(sk_c1,A)) = A. [para(2787(a,1),77(a,1,1))].
% 18.07/18.39 2934 sk_c7 = sk_c8 | multiply(sk_c1,sk_c2) = identity. [para(2787(a,1),1148(a,1,2))].
% 18.07/18.39 2935 sk_c7 = sk_c8 | multiply(sk_c1,multiply(sk_c2,A)) = A. [para(2787(a,1),1190(a,1,2,1))].
% 18.07/18.39 2937 inverse(sk_c1) = sk_c2 | multiply(sk_c6,A) = A. [para(2786(b,1),77(a,1,1)),rewrite([1(8)])].
% 18.07/18.39 2940 sk_c7 = sk_c8 | multiply(A,multiply(sk_c2,sk_c1)) = A. [para(2931(b,1),33(a,2,2)),rewrite([33(7),894(9)])].
% 18.07/18.39 3061 sk_c7 = sk_c8 | multiply(A,multiply(sk_c1,sk_c2)) = A. [para(2934(b,1),33(a,2,2)),rewrite([33(7),894(9)])].
% 18.07/18.39 3341 inverse(sk_c8) = sk_c7 | multiply(inverse(sk_c8),A) = A. [para(2550(b,1),77(a,1,2))].
% 18.07/18.39 3428 inverse(sk_c1) = sk_c2 | multiply(inverse(sk_c6),A) = A. [para(2937(b,1),77(a,1,2))].
% 18.07/18.39 3447 inverse(sk_c1) = sk_c2 | sk_c5 = sk_c4. [para(2937(b,1),2261(b,1)),flip(c),merge(b)].
% 18.07/18.39 3455 sk_c5 = sk_c4 | multiply(sk_c1,sk_c2) = identity. [para(3447(a,1),1148(a,1,2))].
% 18.07/18.39 3567 sk_c5 = sk_c4 | identity = sk_c8 | inverse(sk_c4) = sk_c8. [para(3455(b,1),10(a,1))].
% 18.07/18.39 3568 sk_c5 = sk_c4 | identity = sk_c8 | inverse(sk_c5) = sk_c8. [para(3455(b,1),11(a,1))].
% 18.07/18.39 4312 sk_c8 != A | inverse(multiply(A,sk_c8)) != inverse(sk_c8) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [para(2(a,1),1454(a,1,2)),rewrite([894(2),1191(5)]),flip(a)].
% 18.07/18.39 4331 multiply(A,B) != sk_c8 | inverse(multiply(A,multiply(B,sk_c8))) != inverse(sk_c8) | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [para(33(a,1),4312(b,1,1)),flip(a)].
% 18.07/18.39 4348 multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(multiply(inverse(sk_c8),multiply(sk_c7,sk_c8))) != inverse(sk_c8) | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [factor(4331,a,c)].
% 18.07/18.39 6025 inverse(sk_c3) = sk_c8 | multiply(sk_c8,sk_c8) = sk_c7. [para(7(b,1),869(b,1,1)),merge(b)].
% 18.07/18.39 6057 inverse(sk_c3) = sk_c8 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(6025(b,1),77(a,1,2))].
% 18.07/18.39 6163 inverse(sk_c8) = sk_c7 | inverse(sk_c3) = sk_c7. [para(872(b,1),1500(b,1)),flip(c),merge(b)].
% 18.07/18.39 6169 inverse(sk_c8) = sk_c7 | multiply(sk_c3,sk_c7) = identity. [para(6163(b,1),1148(a,1,2))].
% 18.07/18.39 7129 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(1253(a,1),77(a,1,2)),rewrite([894(3)]),flip(a)].
% 18.07/18.39 7220 multiply(sk_c3,sk_c7) = sk_c8 | multiply(sk_c7,inverse(sk_c8)) = inverse(sk_c4). [para(30(b,1),7129(a,1,2,1))].
% 18.07/18.39 7252 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(7129(a,1),77(a,1,2)),flip(a)].
% 18.07/18.39 7665 multiply(inverse(sk_c8),sk_c7) != sk_c8 | multiply(inverse(sk_c8),multiply(inverse(sk_c7),sk_c8)) != inverse(sk_c8) | inverse(sk_c8) != sk_c7 | sk_c7 != sk_c8. [back_rewrite(4348),rewrite([7252(13),7252(10),1191(14),33(13)])].
% 18.07/18.39 7999 sk_c5 = sk_c4 | multiply(inverse(sk_c8),inverse(sk_c3)) = identity. [para(1471(b,1),2(a,1)),rewrite([7252(7)])].
% 18.07/18.39 9804 multiply(sk_c8,sk_c6) = sk_c7 | sk_c7 = sk_c8 | multiply(sk_c2,multiply(sk_c1,sk_c8)) = multiply(sk_c1,sk_c2). [para(111(b,1),2932(b,1,2))].
% 18.07/18.39 9805 multiply(sk_c1,sk_c2) = sk_c8 | sk_c7 = sk_c8 | multiply(sk_c2,multiply(sk_c1,sk_c6)) = multiply(sk_c5,sk_c8). [para(113(b,1),2932(b,1,2))].
% 18.07/18.39 9914 sk_c7 = sk_c8 | multiply(sk_c1,sk_c2) = multiply(sk_c2,sk_c1). [para(2940(b,1),2935(b,1,2)),merge(b)].
% 18.07/18.39 10120 inverse(sk_c8) = sk_c7 | multiply(sk_c3,A) = A. [para(1052(b,1),3341(b,1,1)),merge(b)].
% 18.07/18.39 10167 inverse(sk_c8) = sk_c7 | identity = sk_c7. [para(10120(b,1),6169(b,1)),flip(c),merge(b)].
% 18.07/18.39 10662 sk_c5 = sk_c4 | identity = sk_c8 | inverse(sk_c8) = sk_c4. [para(3567(c,1),1191(a,1,1))].
% 18.07/18.39 10667 sk_c5 = sk_c4 | identity = sk_c8 | inverse(sk_c8) = sk_c5. [para(3568(c,1),1191(a,1,1))].
% 18.07/18.39 11246 inverse(sk_c3) = sk_c8 | sk_c6 = sk_c8. [para(6057(b,1),99(b,2)),rewrite([77(14)]),merge(b)].
% 18.07/18.39 11254 sk_c6 = sk_c8 | inverse(sk_c8) = sk_c3. [para(11246(a,1),1191(a,1,1))].
% 18.07/18.39 11261 sk_c6 = sk_c8 | sk_c3 = sk_c7 | identity = sk_c3. [para(11254(b,1),2489(a,1))].
% 18.07/18.39 11269 sk_c6 = sk_c8 | sk_c3 = sk_c7 | identity = sk_c7. [para(11254(b,1),10167(a,1))].
% 18.07/18.39 11581 sk_c6 = sk_c8 | sk_c3 = sk_c7. [para(11269(c,1),11261(c,1)),flip(e),merge(c),merge(d),merge(e)].
% 18.07/18.39 11587 sk_c3 = sk_c7 | identity = sk_c8. [para(11581(a,1),2050(a,2)),merge(c),merge(d)].
% 18.07/18.39 11628 sk_c3 = sk_c7 | inverse(sk_c8) = identity. [para(11587(b,1),925(a,1,1))].
% 18.07/18.39 11709 sk_c3 = sk_c7 | identity = sk_c7. [para(11628(b,1),10167(a,1)),merge(c)].
% 18.07/18.39 11714 sk_c3 = sk_c7 | inverse(sk_c8) = sk_c8. [para(11587(b,1),11628(b,2)),merge(b)].
% 18.07/18.39 11746 sk_c3 = sk_c7 | inverse(sk_c8) = sk_c7. [para(11709(b,1),2484(b,2)),merge(c)].
% 18.07/18.39 11816 identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [para(1(a,1),1239(f,1)),rewrite([925(22)]),merge(g)].
% 18.07/18.39 11821 identity != sk_c8 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(inverse(sk_c8),sk_c7) != sk_c8. [resolve(11816,e,1190,a),flip(e)].
% 18.07/18.39 11822 identity != sk_c8 | multiply(A,multiply(B,sk_c7)) != sk_c8 | multiply(inverse(B),inverse(A)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,C) != sk_c7 | sk_c8 != C. [para(33(a,1),11816(b,1)),rewrite([7252(10)])].
% 18.07/18.39 11825 identity != sk_c8 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | inverse(sk_c8) != sk_c7. [factor(11821,b,e),rewrite([1191(12)]),xx(c)].
% 18.07/18.39 11844 sk_c3 = sk_c7 | multiply(sk_c8,sk_c8) = identity. [para(11714(b,1),2(a,1,1))].
% 18.07/18.39 12152 identity != sk_c8 | sk_c8 != A | multiply(sk_c7,inverse(A)) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [para(2(a,1),11822(b,1,2)),rewrite([894(5),1191(8)]),flip(b)].
% 18.07/18.39 12238 sk_c3 = sk_c7 | multiply(sk_c8,sk_c8) = sk_c7. [para(11709(b,1),11844(b,2)),merge(b)].
% 18.07/18.39 12284 identity != sk_c8 | inverse(A) != sk_c8 | multiply(sk_c7,A) != sk_c8 | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [para(1191(a,1),12152(c,1,2)),flip(b)].
% 18.07/18.39 12288 identity != sk_c8 | multiply(inverse(A),sk_c7) != sk_c8 | sk_c8 != A | inverse(sk_c8) != sk_c7 | multiply(sk_c8,B) != sk_c7 | sk_c8 != B. [para(1190(a,1),12284(c,1)),rewrite([7252(7),1191(7)]),flip(c)].
% 18.07/18.39 12392 identity != sk_c8 | multiply(inverse(A),sk_c7) != sk_c8 | sk_c8 != A | inverse(sk_c8) != sk_c7 | sk_c7 != B | multiply(inverse(sk_c8),B) != sk_c8. [para(1190(a,1),12288(e,1)),flip(e),flip(f)].
% 18.07/18.39 12455 sk_c3 = sk_c7 | multiply(inverse(sk_c8),sk_c7) = sk_c8. [para(12238(b,1),77(a,1,2))].
% 18.07/18.39 12976 sk_c3 = sk_c7 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [resolve(12455,b,11825,b)].
% 18.07/18.39 13558 identity != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c7)) != sk_c8 | multiply(B,A) != sk_c8 | inverse(sk_c8) != sk_c7 | sk_c7 != C | multiply(inverse(sk_c8),C) != sk_c8. [para(7252(a,1),12392(b,1,1)),rewrite([33(8)]),flip(c)].
% 18.07/18.39 16219 sk_c5 = sk_c4 | identity = sk_c8. [para(10667(c,1),10662(c,1)),merge(c),merge(d),merge(e)].
% 18.07/18.39 16229 sk_c5 = sk_c4 | inverse(sk_c8) = identity. [para(16219(b,1),925(a,1,1))].
% 18.07/18.39 16271 sk_c5 = sk_c4 | identity = sk_c7. [para(16229(b,1),10167(a,1)),merge(c)].
% 18.07/18.39 16274 sk_c5 = sk_c4 | inverse(sk_c3) = identity. [para(16229(b,1),7999(b,1,1)),rewrite([1(10)]),merge(b)].
% 18.07/18.39 16373 sk_c5 = sk_c4 | inverse(sk_c3) = sk_c7. [para(16271(b,1),16274(b,2)),merge(b)].
% 18.07/18.39 16415 sk_c5 = sk_c4 | multiply(inverse(sk_c8),sk_c7) = identity. [para(16373(b,1),7999(b,1,2)),merge(b)].
% 18.07/18.39 16687 sk_c5 = sk_c4 | identity != sk_c8 | inverse(sk_c8) != sk_c7. [para(16415(b,1),11825(b,1)),merge(c)].
% 18.07/18.39 19003 sk_c3 = sk_c7 | identity != sk_c8. [resolve(12976,c,11746,b),merge(c)].
% 18.07/18.39 19014 sk_c3 = sk_c7. [resolve(19003,b,11587,b),merge(b)].
% 18.07/18.39 20543 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c7,inverse(sk_c8)) = inverse(sk_c4). [back_rewrite(7220),rewrite([19014(1)])].
% 18.07/18.39 21251 inverse(sk_c8) = sk_c7. [back_rewrite(1052),rewrite([19014(7)]),merge(b)].
% 18.07/18.39 21399 multiply(sk_c7,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8. [back_rewrite(22),rewrite([19014(1)])].
% 18.07/18.39 21682 multiply(sk_c7,sk_c7) = sk_c8 | multiply(sk_c7,sk_c7) = inverse(sk_c4). [back_rewrite(20543),rewrite([21251(8)])].
% 18.07/18.39 22709 sk_c5 = sk_c4 | identity != sk_c8. [back_rewrite(16687),rewrite([21251(8)]),xx(c)].
% 18.07/18.39 23382 identity != sk_c8 | multiply(inverse(A),multiply(inverse(B),sk_c7)) != sk_c8 | multiply(B,A) != sk_c8 | sk_c7 != C | multiply(sk_c7,C) != sk_c8. [back_rewrite(13558),rewrite([21251(15),21251(20)]),xx(d)].
% 18.07/18.39 23590 identity != sk_c8 | multiply(sk_c7,sk_c7) != sk_c8. [back_rewrite(11825),rewrite([21251(5),21251(10)]),xx(c)].
% 18.07/18.39 23942 multiply(sk_c7,sk_c7) != sk_c8 | sk_c7 != sk_c8. [back_rewrite(7665),rewrite([21251(2),21251(7),1190(11),21251(8),21251(10)]),flip(b),xx(c),merge(c)].
% 18.07/18.39 25118 identity != sk_c8 | inverse(A) != sk_c8 | multiply(sk_c7,A) != sk_c8 | sk_c7 != A. [factor(23382,c,e),rewrite([2(8),894(6)])].
% 18.07/18.39 25126 multiply(sk_c7,sk_c8) = identity. [para(21251(a,1),2(a,1,1))].
% 18.07/18.39 25127 multiply(sk_c7,multiply(sk_c8,A)) = A. [para(21251(a,1),77(a,1,1))].
% 18.07/18.39 25128 inverse(sk_c7) = sk_c8. [para(21251(a,1),1191(a,1,1))].
% 18.07/18.39 25129 multiply(sk_c8,sk_c7) = identity. [para(21251(a,1),1148(a,1,2))].
% 18.07/18.39 25194 inverse(sk_c1) = sk_c2 | multiply(sk_c4,sk_c6) = identity. [back_rewrite(2121),rewrite([25127(10),25129(10)])].
% 18.07/18.39 25589 sk_c5 = sk_c4. [resolve(22709,b,16219,b),merge(b)].
% 18.07/18.39 25751 multiply(sk_c1,sk_c2) = sk_c8 | sk_c7 = sk_c8 | multiply(sk_c2,multiply(sk_c1,sk_c6)) = multiply(sk_c4,sk_c8). [back_rewrite(9805),rewrite([25589(14)])].
% 18.07/18.39 25999 inverse(sk_c4) = sk_c8 | identity != sk_c8. [resolve(21399,a,25118,c),rewrite([25128(9)]),xx(c),xx(d)].
% 18.07/18.39 26146 inverse(sk_c1) = sk_c2 | inverse(sk_c4) = sk_c6. [para(25194(b,1),77(a,1,2)),rewrite([894(8)])].
% 18.07/18.39 26252 inverse(sk_c1) = sk_c2 | inverse(sk_c6) = sk_c4. [para(26146(b,1),1191(a,1,1))].
% 18.07/18.39 26438 inverse(sk_c1) = sk_c2 | multiply(sk_c4,A) = A. [para(26252(b,1),3428(b,1,1)),merge(b)].
% 18.07/18.39 28058 inverse(sk_c1) = sk_c2 | identity = sk_c8. [para(26438(b,1),1249(b,1)),flip(c),merge(b)].
% 18.07/18.39 28170 identity = sk_c8 | multiply(sk_c1,sk_c2) = identity. [para(28058(a,1),1148(a,1,2))].
% 18.07/18.39 28353 identity = sk_c8 | inverse(sk_c4) = sk_c8. [para(28170(b,1),10(a,1)),merge(b)].
% 18.07/18.39 28363 identity = sk_c8 | sk_c4 = sk_c7. [para(28353(b,1),1191(a,1,1)),rewrite([21251(5)]),flip(b)].
% 18.07/18.39 28383 sk_c4 = sk_c7 | inverse(sk_c4) = sk_c8. [resolve(28363,a,25999,b)].
% 18.07/18.39 28503 sk_c4 = sk_c7. [para(28383(b,1),1191(a,1,1)),rewrite([21251(5)]),flip(b),merge(b)].
% 18.15/18.39 28814 multiply(sk_c1,sk_c2) = sk_c8 | sk_c7 = sk_c8 | multiply(sk_c2,multiply(sk_c1,sk_c6)) = identity. [back_rewrite(25751),rewrite([28503(14),25126(16)])].
% 18.15/18.39 28971 multiply(sk_c7,sk_c7) = sk_c8. [back_rewrite(21682),rewrite([28503(9),25128(10)]),merge(b)].
% 18.15/18.39 29253 sk_c7 != sk_c8. [back_rewrite(23942),rewrite([28971(3)]),xx(a)].
% 18.15/18.39 29271 identity != sk_c8. [back_rewrite(23590),rewrite([28971(6)]),xx(b)].
% 18.15/18.39 29343 multiply(sk_c1,sk_c2) = sk_c8 | multiply(sk_c2,multiply(sk_c1,sk_c6)) = identity. [back_unit_del(28814),unit_del(b,29253)].
% 18.15/18.39 29370 multiply(sk_c1,sk_c2) = multiply(sk_c2,sk_c1). [back_unit_del(9914),unit_del(a,29253)].
% 18.15/18.39 29383 multiply(sk_c8,sk_c6) = sk_c7 | multiply(sk_c2,multiply(sk_c1,sk_c8)) = multiply(sk_c2,sk_c1). [back_unit_del(9804),rewrite([29370(16)]),unit_del(b,29253)].
% 18.15/18.39 29389 multiply(A,multiply(sk_c2,sk_c1)) = A. [back_unit_del(3061),rewrite([29370(6)]),unit_del(a,29253)].
% 18.15/18.39 29391 multiply(sk_c2,sk_c1) = identity. [back_unit_del(2934),rewrite([29370(6)]),unit_del(a,29253)].
% 18.15/18.39 29393 multiply(sk_c2,multiply(sk_c1,A)) = A. [back_unit_del(2932),unit_del(a,29253)].
% 18.15/18.39 29403 identity = sk_c6. [back_rewrite(29343),rewrite([29370(3),29391(3),29393(8)]),flip(b),unit_del(a,29271)].
% 18.15/18.39 29432 multiply(A,sk_c6) = A. [back_rewrite(29389),rewrite([29391(3),29403(1)])].
% 18.15/18.39 29433 sk_c6 = sk_c8. [back_rewrite(29383),rewrite([29432(3),29393(8),29391(7),29403(5)]),flip(a),flip(b),unit_del(a,29253)].
% 18.15/18.39 29480 $F. [back_rewrite(29271),rewrite([29403(1),29433(1)]),xx(a)].
% 18.15/18.39
% 18.15/18.39 % SZS output end Refutation
% 18.15/18.39 ============================== end of proof ==========================
% 18.15/18.39
% 18.15/18.39 ============================== STATISTICS ============================
% 18.15/18.39
% 18.15/18.39 Given=2901. Generated=908349. Kept=29479. proofs=1.
% 18.15/18.39 Usable=28. Sos=222. Demods=32. Limbo=77, Disabled=29186. Hints=0.
% 18.15/18.39 Megabytes=23.04.
% 18.15/18.39 User_CPU=16.91, System_CPU=0.48, Wall_clock=17.
% 18.15/18.39
% 18.15/18.39 ============================== end of statistics =====================
% 18.15/18.39
% 18.15/18.39 ============================== end of search =========================
% 18.15/18.39
% 18.15/18.39 THEOREM PROVED
% 18.15/18.39 % SZS status Unsatisfiable
% 18.15/18.39
% 18.15/18.39 Exiting with 1 proof.
% 18.15/18.39
% 18.15/18.39 Process 28002 exit (max_proofs) Mon Jun 13 22:52:00 2022
% 18.15/18.39 Prover9 interrupted
%------------------------------------------------------------------------------