TSTP Solution File: GRP283-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP283-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 11:18:28 EDT 2022
% Result : Unsatisfiable 25.81s 26.11s
% Output : Refutation 25.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP283-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 06:23:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.91/8.19 ============================== Prover9 ===============================
% 7.91/8.19 Prover9 (32) version 2009-11A, November 2009.
% 7.91/8.19 Process 6227 was started by sandbox on n011.cluster.edu,
% 7.91/8.19 Mon Jun 13 06:23:19 2022
% 7.91/8.19 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6074_n011.cluster.edu".
% 7.91/8.19 ============================== end of head ===========================
% 7.91/8.19
% 7.91/8.19 ============================== INPUT =================================
% 7.91/8.19
% 7.91/8.19 % Reading from file /tmp/Prover9_6074_n011.cluster.edu
% 7.91/8.19
% 7.91/8.19 set(prolog_style_variables).
% 7.91/8.19 set(auto2).
% 7.91/8.19 % set(auto2) -> set(auto).
% 7.91/8.19 % set(auto) -> set(auto_inference).
% 7.91/8.19 % set(auto) -> set(auto_setup).
% 7.91/8.19 % set(auto_setup) -> set(predicate_elim).
% 7.91/8.19 % set(auto_setup) -> assign(eq_defs, unfold).
% 7.91/8.19 % set(auto) -> set(auto_limits).
% 7.91/8.19 % set(auto_limits) -> assign(max_weight, "100.000").
% 7.91/8.19 % set(auto_limits) -> assign(sos_limit, 20000).
% 7.91/8.19 % set(auto) -> set(auto_denials).
% 7.91/8.19 % set(auto) -> set(auto_process).
% 7.91/8.19 % set(auto2) -> assign(new_constants, 1).
% 7.91/8.19 % set(auto2) -> assign(fold_denial_max, 3).
% 7.91/8.19 % set(auto2) -> assign(max_weight, "200.000").
% 7.91/8.19 % set(auto2) -> assign(max_hours, 1).
% 7.91/8.19 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.91/8.19 % set(auto2) -> assign(max_seconds, 0).
% 7.91/8.19 % set(auto2) -> assign(max_minutes, 5).
% 7.91/8.19 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.91/8.19 % set(auto2) -> set(sort_initial_sos).
% 7.91/8.19 % set(auto2) -> assign(sos_limit, -1).
% 7.91/8.19 % set(auto2) -> assign(lrs_ticks, 3000).
% 7.91/8.19 % set(auto2) -> assign(max_megs, 400).
% 7.91/8.19 % set(auto2) -> assign(stats, some).
% 7.91/8.19 % set(auto2) -> clear(echo_input).
% 7.91/8.19 % set(auto2) -> set(quiet).
% 7.91/8.19 % set(auto2) -> clear(print_initial_clauses).
% 7.91/8.19 % set(auto2) -> clear(print_given).
% 7.91/8.19 assign(lrs_ticks,-1).
% 7.91/8.19 assign(sos_limit,10000).
% 7.91/8.19 assign(order,kbo).
% 7.91/8.19 set(lex_order_vars).
% 7.91/8.19 clear(print_given).
% 7.91/8.19
% 7.91/8.19 % formulas(sos). % not echoed (40 formulas)
% 7.91/8.19
% 7.91/8.19 ============================== end of input ==========================
% 7.91/8.19
% 7.91/8.19 % From the command line: assign(max_seconds, 300).
% 7.91/8.19
% 7.91/8.19 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.91/8.19
% 7.91/8.19 % Formulas that are not ordinary clauses:
% 7.91/8.19
% 7.91/8.19 ============================== end of process non-clausal formulas ===
% 7.91/8.19
% 7.91/8.19 ============================== PROCESS INITIAL CLAUSES ===============
% 7.91/8.19
% 7.91/8.19 ============================== PREDICATE ELIMINATION =================
% 7.91/8.19
% 7.91/8.19 ============================== end predicate elimination =============
% 7.91/8.19
% 7.91/8.19 Auto_denials: (non-Horn, no changes).
% 7.91/8.19
% 7.91/8.19 Term ordering decisions:
% 7.91/8.19
% 7.91/8.19 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 7.91/8.19 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c6=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. sk_c5=1. identity=1. multiply=1. inverse=0.
% 7.91/8.19
% 7.91/8.19 ============================== end of process initial clauses ========
% 7.91/8.19
% 7.91/8.19 ============================== CLAUSES FOR SEARCH ====================
% 7.91/8.19
% 7.91/8.19 ============================== end of clauses for search =============
% 7.91/8.19
% 7.91/8.19 ============================== SEARCH ================================
% 7.91/8.19
% 7.91/8.19 % Starting search at 0.02 seconds.
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=56.000, iters=3515
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=53.000, iters=3427
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=51.000, iters=3344
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=49.000, iters=3447
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=48.000, iters=3382
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=45.000, iters=3350
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=44.000, iters=3400
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=42.000, iters=3352
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=41.000, iters=3436
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=40.000, iters=3349
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=39.000, iters=3346
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=38.000, iters=3350
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=37.000, iters=3339
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=36.000, iters=3337
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=35.000, iters=3382
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=34.000, iters=3369
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=33.000, iters=3400
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=32.000, iters=3431
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=31.000, iters=3333
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=30.000, iters=3432
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=28.000, iters=3355
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=27.000, iters=3336
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=26.000, iters=3373
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=24.000, iters=3519
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=15.000, iters=3346
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=14.000, iters=3503
% 7.91/8.19
% 7.91/8.19 Low Water (keep): wt=13.000, iters=3340
% 25.81/26.11
% 25.81/26.11 Low Water (keep): wt=12.000, iters=3335
% 25.81/26.11
% 25.81/26.11 ============================== PROOF =================================
% 25.81/26.11 % SZS status Unsatisfiable
% 25.81/26.11 % SZS output start Refutation
% 25.81/26.11
% 25.81/26.11 % Proof 1 at 24.48 (+ 0.63) seconds.
% 25.81/26.11 % Length of proof is 139.
% 25.81/26.11 % Level of proof is 27.
% 25.81/26.11 % Maximum clause weight is 56.000.
% 25.81/26.11 % Given clauses 3320.
% 25.81/26.11
% 25.81/26.11 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 25.81/26.11 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 25.81/26.11 3 inverse(sk_c1) = sk_c8 | inverse(sk_c7) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 25.81/26.11 4 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c7 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 25.81/26.11 5 inverse(sk_c1) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 25.81/26.11 6 inverse(sk_c2) = sk_c8 | inverse(sk_c7) = sk_c6 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 25.81/26.11 9 multiply(sk_c8,sk_c7) = sk_c6 | inverse(sk_c7) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 25.81/26.11 12 multiply(sk_c1,sk_c8) = sk_c7 | inverse(sk_c7) = sk_c6 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 25.81/26.11 13 multiply(sk_c1,sk_c8) = sk_c7 | inverse(sk_c4) = sk_c7 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 25.81/26.11 14 multiply(sk_c1,sk_c8) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 25.81/26.11 16 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 25.81/26.11 17 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 25.81/26.11 18 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c7) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 25.81/26.11 21 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c7) = sk_c6 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 25.81/26.11 27 multiply(sk_c8,sk_c7) = sk_c6 | multiply(sk_c7,sk_c6) = sk_c8 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 25.81/26.11 30 multiply(sk_c1,sk_c8) = sk_c7 | multiply(sk_c7,sk_c6) = sk_c8 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 25.81/26.11 32 multiply(sk_c1,sk_c8) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 25.81/26.11 39 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 25.81/26.11 40 multiply(sk_c8,sk_c7) != sk_c6 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(D,sk_c7) != sk_c8 | inverse(D) != sk_c7 | multiply(E,sk_c8) != sk_c6 | inverse(E) != sk_c8 # label(prove_this_37) # label(negated_conjecture). [assumption].
% 25.81/26.11 56 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 25.81/26.11 60 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),39(a,1,1)),rewrite([1(2)]),flip(a)].
% 25.81/26.11 68 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c1,sk_c8)) = multiply(A,sk_c7). [para(12(a,1),39(a,2,2)),rewrite([39(8)])].
% 25.81/26.11 71 inverse(sk_c5) = sk_c8 | multiply(sk_c1,multiply(sk_c8,A)) = multiply(sk_c7,A). [para(14(a,1),39(a,1,1)),flip(b)].
% 25.81/26.11 78 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(17(b,1),39(a,2,2)),rewrite([39(8)])].
% 25.81/26.11 79 inverse(sk_c7) = sk_c6 | multiply(sk_c8,multiply(sk_c3,A)) = multiply(sk_c7,A). [para(18(a,1),39(a,1,1)),flip(b)].
% 25.81/26.11 86 inverse(sk_c7) = sk_c6 | multiply(A,multiply(sk_c2,sk_c8)) = multiply(A,sk_c3). [para(21(a,1),39(a,2,2)),rewrite([39(8)])].
% 25.81/26.11 125 multiply(sk_c8,sk_c7) != sk_c6 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(sk_c8,multiply(B,multiply(C,sk_c8))) != sk_c7 | inverse(multiply(B,C)) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(D,sk_c7) != sk_c8 | inverse(D) != sk_c7 | multiply(E,sk_c8) != sk_c6 | inverse(E) != sk_c8. [resolve(40,e,39,a)].
% 25.81/26.11 712 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),60(a,1,2))].
% 25.81/26.11 750 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(60(a,1),60(a,1,2))].
% 25.81/26.11 751 multiply(A,identity) = A. [back_rewrite(712),rewrite([750(4)])].
% 25.81/26.11 759 inverse(identity) = identity. [para(751(a,1),2(a,1))].
% 25.81/26.11 853 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c5. [para(56(b,1),60(a,1,2)),rewrite([751(8)])].
% 25.81/26.11 923 multiply(A,inverse(A)) = identity. [para(750(a,1),2(a,1))].
% 25.81/26.11 965 multiply(A,multiply(inverse(A),B)) = B. [para(750(a,1),60(a,1))].
% 25.81/26.11 966 inverse(inverse(A)) = A. [para(750(a,1),751(a,1)),rewrite([751(2)]),flip(a)].
% 25.81/26.11 1029 inverse(sk_c8) = sk_c5 | inverse(sk_c8) = sk_c1. [para(853(a,1),966(a,1,1))].
% 25.81/26.11 1033 inverse(sk_c7) = sk_c6 | multiply(sk_c1,sk_c8) = identity. [para(3(a,1),923(a,1,2))].
% 25.81/26.11 1034 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c7) = identity. [para(4(b,1),923(a,1,2))].
% 25.81/26.11 1035 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(5(b,1),923(a,1,2))].
% 25.81/26.11 1036 inverse(sk_c7) = sk_c6 | multiply(sk_c2,sk_c8) = identity. [para(6(a,1),923(a,1,2))].
% 25.81/26.11 1039 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(923(a,1),39(a,1)),flip(a)].
% 25.81/26.11 1491 inverse(sk_c7) = sk_c6 | identity = sk_c7. [para(1033(b,1),12(a,1)),merge(c)].
% 25.81/26.11 1493 inverse(sk_c7) = sk_c6 | multiply(A,sk_c7) = A. [para(1033(b,1),68(b,1,2)),rewrite([751(10)]),flip(c),merge(b)].
% 25.81/26.11 1496 identity = sk_c7 | inverse(sk_c6) = sk_c7. [para(1491(a,1),966(a,1,1))].
% 25.81/26.11 1497 identity = sk_c7 | multiply(sk_c7,sk_c6) = identity. [para(1491(a,1),923(a,1,2))].
% 25.81/26.11 1623 inverse(sk_c1) = sk_c8 | identity = sk_c8. [para(1034(b,1),16(b,1)),merge(b)].
% 25.81/26.11 1628 identity = sk_c8 | multiply(sk_c8,sk_c1) = identity. [para(1623(a,1),2(a,1,1))].
% 25.81/26.11 1632 identity = sk_c8 | multiply(sk_c1,multiply(sk_c8,A)) = A. [para(1623(a,1),965(a,1,2,1))].
% 25.81/26.11 1708 identity = sk_c8 | multiply(A,multiply(sk_c8,sk_c1)) = A. [para(1628(b,1),39(a,2,2)),rewrite([39(7),751(9)])].
% 25.81/26.11 1736 inverse(sk_c5) = sk_c8 | multiply(sk_c7,inverse(sk_c8)) = sk_c1. [para(923(a,1),71(b,1,2)),rewrite([751(7)]),flip(b)].
% 25.81/26.11 3000 inverse(sk_c1) = sk_c8 | multiply(A,sk_c6) = A. [para(1035(b,1),78(b,1,2)),rewrite([751(10)]),flip(c),merge(b)].
% 25.81/26.11 3144 inverse(sk_c7) = sk_c6 | multiply(sk_c7,inverse(sk_c3)) = sk_c8. [para(923(a,1),79(b,1,2)),rewrite([751(7)]),flip(b)].
% 25.81/26.11 4682 inverse(sk_c7) = sk_c6 | multiply(A,sk_c3) = A. [para(1036(b,1),86(b,1,2)),rewrite([751(10)]),flip(c),merge(b)].
% 25.81/26.11 5895 inverse(sk_c7) = sk_c6 | inverse(sk_c7) = identity. [para(1493(b,1),2(a,1))].
% 25.81/26.11 5896 inverse(sk_c7) = sk_c6 | sk_c6 = sk_c8. [para(1493(b,1),9(a,1)),flip(b),merge(c)].
% 25.81/26.11 5911 sk_c6 = sk_c8 | multiply(sk_c7,sk_c6) = identity. [para(5896(a,1),923(a,1,2))].
% 25.81/26.11 5925 inverse(sk_c7) = sk_c6 | multiply(sk_c7,A) = A. [para(5895(b,1),60(a,1,1)),rewrite([1(8)])].
% 25.81/26.11 6760 inverse(sk_c1) = sk_c8 | identity = sk_c7. [para(3000(b,1),1497(b,1)),flip(c),merge(c)].
% 25.81/26.11 6789 identity = sk_c7 | inverse(sk_c8) = sk_c1. [para(6760(a,1),966(a,1,1))].
% 25.81/26.11 6790 identity = sk_c7 | multiply(sk_c1,sk_c8) = identity. [para(6760(a,1),923(a,1,2))].
% 25.81/26.11 6985 identity = sk_c7 | inverse(sk_c4) = sk_c7. [para(6790(b,1),13(a,1)),merge(b)].
% 25.81/26.11 6986 identity = sk_c7 | inverse(sk_c5) = sk_c8. [para(6790(b,1),14(a,1)),merge(b)].
% 25.81/26.11 6987 identity = sk_c7 | multiply(sk_c7,sk_c6) = sk_c8. [para(6790(b,1),30(a,1)),merge(b)].
% 25.81/26.11 6997 identity = sk_c7 | multiply(sk_c7,sk_c4) = identity. [para(6985(b,1),2(a,1,1))].
% 25.81/26.11 6999 identity = sk_c7 | inverse(sk_c7) = sk_c4. [para(6985(b,1),966(a,1,1))].
% 25.81/26.11 7004 identity = sk_c7 | inverse(sk_c8) = sk_c5. [para(6986(b,1),966(a,1,1))].
% 25.81/26.11 7112 identity = sk_c7 | sk_c5 = sk_c1. [para(7004(b,1),6789(b,1)),merge(b)].
% 25.81/26.11 7118 sk_c5 = sk_c1 | inverse(sk_c7) = identity. [para(7112(a,1),759(a,1,1))].
% 25.81/26.11 7227 sk_c5 = sk_c1 | identity = sk_c6 | sk_c6 = sk_c8. [para(7118(b,1),5896(a,1))].
% 25.81/26.11 7298 identity = sk_c7 | multiply(inverse(sk_c7),sk_c8) = sk_c6. [para(6987(b,1),60(a,1,2))].
% 25.81/26.11 7299 identity = sk_c7 | identity = sk_c8. [para(6987(b,1),1497(b,1)),flip(c),merge(b)].
% 25.81/26.11 7300 identity = sk_c8 | multiply(sk_c7,A) = A. [para(7299(a,1),1(a,1,1))].
% 25.81/26.11 7302 identity = sk_c8 | multiply(A,sk_c7) = A. [para(7299(a,1),751(a,1,2))].
% 25.81/26.11 7303 identity = sk_c8 | inverse(sk_c7) = identity. [para(7299(a,1),759(a,1,1))].
% 25.81/26.11 7955 identity = sk_c8 | multiply(inverse(sk_c7),A) = A. [para(7300(b,1),60(a,1,2))].
% 25.81/26.11 8564 inverse(sk_c7) = sk_c6 | inverse(sk_c3) = identity. [para(4682(b,1),2(a,1))].
% 25.81/26.11 8565 inverse(sk_c7) = sk_c6 | sk_c7 = sk_c8. [para(4682(b,1),18(a,1)),flip(b),merge(c)].
% 25.81/26.11 8579 sk_c7 = sk_c8 | inverse(sk_c6) = sk_c7. [para(8565(a,1),966(a,1,1))].
% 25.81/26.11 9857 multiply(sk_c8,sk_c7) != sk_c6 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(sk_c8,B) != sk_c7 | inverse(multiply(B,inverse(sk_c8))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(C,sk_c7) != sk_c8 | inverse(C) != sk_c7 | multiply(D,sk_c8) != sk_c6 | inverse(D) != sk_c8. [para(2(a,1),125(d,1,2,2)),rewrite([751(15)])].
% 25.81/26.11 9868 multiply(sk_c8,sk_c7) != sk_c6 | sk_c7 != A | inverse(multiply(A,inverse(sk_c8))) != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(B,sk_c7) != sk_c8 | inverse(B) != sk_c7 | multiply(C,sk_c8) != sk_c6 | inverse(C) != sk_c8. [factor(9857,c,e),rewrite([39(10),2(9),751(7)]),flip(b)].
% 25.81/26.11 9888 multiply(sk_c8,sk_c7) != sk_c6 | sk_c7 != A | inverse(multiply(A,inverse(sk_c8))) != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(B,sk_c7) != sk_c8 | inverse(B) != sk_c7 | sk_c6 != A. [factor(9868,c,j),rewrite([39(38),2(37),751(35)]),flip(i)].
% 25.81/26.11 9894 multiply(sk_c8,sk_c7) != sk_c6 | sk_c7 != A | inverse(multiply(A,inverse(sk_c8))) != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | sk_c6 != A. [para(2(a,1),9888(g,1)),rewrite([966(32)]),xx(h)].
% 25.81/26.11 9898 multiply(sk_c8,sk_c7) != sk_c6 | multiply(A,B) != sk_c7 | inverse(multiply(A,multiply(B,inverse(sk_c8)))) != sk_c8 | multiply(sk_c8,multiply(A,B)) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | multiply(A,B) != sk_c6. [para(39(a,1),9894(c,1,1)),flip(b),flip(h)].
% 25.81/26.11 10526 identity = sk_c7 | multiply(sk_c4,sk_c8) = sk_c6. [para(6999(b,1),7298(b,1,1)),merge(b)].
% 25.81/26.11 10537 identity = sk_c7 | multiply(inverse(sk_c4),sk_c6) = sk_c8. [para(10526(b,1),60(a,1,2))].
% 25.81/26.11 11380 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(1039(a,1),60(a,1,2)),rewrite([751(3)]),flip(a)].
% 25.81/26.11 11607 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(11380(a,1),60(a,1,2)),flip(a)].
% 25.81/26.11 11742 identity = sk_c7 | multiply(sk_c6,inverse(sk_c8)) = sk_c4. [para(10537(b,1),11380(a,1,2,1)),rewrite([966(10)])].
% 25.81/26.11 11920 multiply(sk_c8,sk_c7) != sk_c6 | multiply(A,B) != sk_c7 | multiply(sk_c8,multiply(inverse(B),inverse(A))) != sk_c8 | multiply(sk_c8,multiply(A,B)) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | multiply(A,B) != sk_c6. [back_rewrite(9898),rewrite([11607(13),11607(12),966(11),39(13)])].
% 25.81/26.11 12438 identity = sk_c7 | multiply(sk_c6,sk_c1) = sk_c4. [para(6789(b,1),11742(b,1,2)),merge(b)].
% 25.81/26.11 12450 identity = sk_c7 | multiply(inverse(sk_c6),sk_c4) = sk_c1. [para(12438(b,1),60(a,1,2))].
% 25.81/26.11 12582 identity = sk_c7 | multiply(sk_c7,sk_c4) = sk_c1. [para(1496(b,1),12450(b,1,1)),merge(b)].
% 25.81/26.11 12589 identity = sk_c7 | identity = sk_c1. [para(12582(b,1),6997(b,1)),flip(c),merge(b)].
% 25.81/26.11 12592 identity = sk_c7 | inverse(sk_c1) = identity. [para(12589(b,1),759(a,1,1))].
% 25.81/26.11 12625 identity = sk_c7 | inverse(sk_c1) = sk_c1. [para(12589(b,1),12592(b,2)),merge(b)].
% 25.81/26.11 12633 identity = sk_c7 | sk_c1 = sk_c8. [para(12625(b,1),6760(a,1)),merge(c)].
% 25.81/26.11 12637 sk_c1 = sk_c8 | inverse(sk_c7) = identity. [para(12633(a,1),759(a,1,1))].
% 25.81/26.11 12709 sk_c1 = sk_c8 | identity = sk_c6 | sk_c6 = sk_c8. [para(12637(b,1),5896(a,1))].
% 25.81/26.11 14091 identity = sk_c8 | multiply(sk_c8,sk_c1) = inverse(sk_c7). [para(1708(b,1),7955(b,1)),flip(c),merge(b)].
% 25.81/26.11 14104 identity = sk_c8 | multiply(A,inverse(sk_c7)) = A. [para(14091(b,1),1708(b,1,2)),merge(b)].
% 25.81/26.11 15258 multiply(sk_c8,sk_c7) != sk_c6 | multiply(inverse(sk_c8),A) != sk_c7 | multiply(sk_c8,multiply(inverse(A),sk_c8)) != sk_c8 | sk_c7 != A | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | multiply(inverse(sk_c8),A) != sk_c6. [para(965(a,1),11920(d,1)),rewrite([966(15)]),flip(d)].
% 25.81/26.11 15270 multiply(sk_c8,sk_c7) != sk_c6 | multiply(inverse(sk_c8),inverse(A)) != sk_c7 | multiply(sk_c8,multiply(A,sk_c8)) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | multiply(inverse(sk_c8),inverse(A)) != sk_c6. [para(966(a,1),15258(c,1,2,1)),flip(d)].
% 25.81/26.11 15271 multiply(sk_c8,sk_c7) != sk_c6 | multiply(inverse(sk_c8),multiply(inverse(A),inverse(B))) != sk_c7 | multiply(sk_c8,multiply(B,multiply(A,sk_c8))) != sk_c8 | multiply(inverse(A),inverse(B)) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | identity != sk_c8 | multiply(inverse(sk_c8),multiply(inverse(A),inverse(B))) != sk_c6. [para(39(a,1),15270(c,1,2)),rewrite([11607(9),11607(22),11607(41)])].
% 25.81/26.11 16275 inverse(sk_c7) = sk_c6 | inverse(sk_c3) = sk_c8. [para(3144(b,1),5925(b,1)),flip(c),merge(b)].
% 25.81/26.11 16279 inverse(sk_c7) = sk_c6 | identity = sk_c8. [para(16275(b,1),8564(b,1)),flip(c),merge(b)].
% 25.81/26.11 16283 identity = sk_c8 | multiply(sk_c7,sk_c6) = identity. [para(16279(a,1),923(a,1,2))].
% 25.81/26.11 16311 identity = sk_c8 | multiply(A,sk_c6) = A. [para(16279(a,1),14104(b,1,2)),merge(b)].
% 25.81/26.11 16700 identity = sk_c8 | multiply(sk_c8,sk_c7) = sk_c6. [para(16283(b,1),27(b,1)),merge(c)].
% 25.81/26.11 16913 identity = sk_c8 | multiply(inverse(sk_c8),sk_c6) = sk_c7. [para(16700(b,1),60(a,1,2))].
% 25.81/26.11 16916 identity = sk_c8 | sk_c6 = sk_c8. [para(16700(b,1),7302(b,1)),merge(b)].
% 25.81/26.11 16919 identity = sk_c8 | multiply(sk_c1,sk_c6) = sk_c7. [para(16700(b,1),1632(b,1,2)),merge(b)].
% 25.81/26.11 16923 sk_c6 = sk_c8 | inverse(sk_c8) = identity. [para(16916(a,1),759(a,1,1))].
% 25.81/26.11 16991 sk_c6 = sk_c8 | sk_c5 = sk_c1. [para(16916(a,1),7227(b,1)),flip(c),merge(c),merge(d)].
% 25.81/26.11 17004 sk_c6 = sk_c8 | sk_c1 = sk_c8. [para(16916(a,1),12709(b,1)),flip(c),merge(c),merge(d)].
% 25.81/26.11 17029 sk_c6 = sk_c8 | inverse(sk_c8) = sk_c1. [para(16991(b,1),1029(a,2)),merge(c)].
% 25.81/26.11 17113 sk_c6 = sk_c8 | identity = sk_c1. [para(17029(b,1),16923(b,1)),flip(c),merge(b)].
% 25.81/26.11 17126 sk_c6 = sk_c8 | multiply(sk_c7,sk_c6) = sk_c1. [para(17113(b,1),5911(b,2)),merge(b)].
% 25.81/26.11 17477 identity = sk_c8 | sk_c1 = sk_c7. [para(16919(b,1),16311(b,1)),flip(c),merge(b)].
% 25.81/26.11 17592 sk_c1 = sk_c7 | inverse(sk_c8) = identity. [para(17477(a,1),759(a,1,1))].
% 25.81/26.11 17754 sk_c1 = sk_c7 | inverse(sk_c5) = sk_c8. [para(17592(b,1),1736(b,1,2)),rewrite([751(10)]),flip(c),merge(c)].
% 25.81/26.11 17800 sk_c1 = sk_c7 | inverse(sk_c8) = sk_c5. [para(17754(b,1),966(a,1,1))].
% 25.81/26.11 17837 sk_c1 = sk_c7 | identity = sk_c5. [para(17800(b,1),17592(b,1)),flip(c),merge(b)].
% 25.81/26.11 17840 sk_c1 = sk_c7 | multiply(sk_c5,A) = A. [para(17837(b,1),1(a,1,1))].
% 25.81/26.11 18292 sk_c1 = sk_c7 | multiply(sk_c1,sk_c8) = sk_c7 | sk_c6 = sk_c8. [para(17840(b,1),32(b,1)),flip(c)].
% 25.81/26.11 18786 identity = sk_c8 | inverse(sk_c8) = sk_c7. [para(16913(b,1),16311(b,1)),flip(c),merge(b)].
% 25.81/26.11 18795 identity = sk_c8 | inverse(sk_c7) = sk_c8. [para(18786(b,1),966(a,1,1))].
% 25.81/26.11 18806 identity = sk_c8. [para(18795(b,1),7303(b,1)),flip(c),merge(b),merge(c)].
% 25.81/26.11 19445 multiply(sk_c8,sk_c7) != sk_c6 | multiply(inverse(sk_c8),multiply(inverse(A),inverse(B))) != sk_c7 | multiply(sk_c8,multiply(B,multiply(A,sk_c8))) != sk_c8 | multiply(inverse(A),inverse(B)) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(inverse(sk_c8),multiply(inverse(A),inverse(B))) != sk_c6. [back_rewrite(15271),rewrite([18806(35)]),xx(g)].
% 25.81/26.11 20776 inverse(sk_c8) = sk_c8. [back_rewrite(759),rewrite([18806(1),18806(3)])].
% 25.81/26.11 20777 multiply(A,sk_c8) = A. [back_rewrite(751),rewrite([18806(1)])].
% 25.81/26.11 20785 multiply(sk_c8,A) = A. [back_rewrite(1),rewrite([18806(1)])].
% 25.81/26.11 20844 sk_c6 != sk_c7 | multiply(inverse(A),inverse(B)) != sk_c7 | multiply(B,A) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(inverse(A),inverse(B)) != sk_c6. [back_rewrite(19445),rewrite([20785(3),20776(5),20785(8),20777(11),20785(11),20776(27),20785(30)]),flip(a),merge(d)].
% 25.81/26.11 21072 sk_c1 = sk_c7 | sk_c6 = sk_c8. [back_rewrite(18292),rewrite([20777(6)]),merge(b)].
% 25.81/26.11 21928 sk_c6 != sk_c7 | multiply(inverse(sk_c6),inverse(sk_c7)) != sk_c7 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c7) != sk_c6 | multiply(inverse(sk_c6),inverse(sk_c7)) != sk_c6. [factor(20844,c,d)].
% 25.81/26.11 23618 sk_c6 = sk_c8 | sk_c7 = sk_c8. [para(21072(a,1),17004(b,1)),merge(b)].
% 25.81/26.11 23627 sk_c6 = sk_c8 | multiply(sk_c7,sk_c6) = sk_c7. [para(21072(a,1),17126(b,2)),merge(b)].
% 25.81/26.11 23742 sk_c7 = sk_c8. [para(23618(a,1),8579(b,1,1)),rewrite([20776(8)]),flip(c),merge(b),merge(c)].
% 25.81/26.11 23774 sk_c6 = sk_c8. [back_rewrite(23627),rewrite([23742(4),20785(6),23742(5)]),merge(b)].
% 25.81/26.11 23826 $F. [back_rewrite(21928),rewrite([23774(1),23742(2),23774(4),20776(5),23742(5),20776(6),20777(6),23742(5),23742(7),23774(8),20777(9),23742(10),20776(11),23774(11),23774(13),20776(14),23742(14),20776(15),20777(15),23774(14)]),xx(a),xx(b),xx(c),xx(d),xx(e)].
% 25.81/26.11
% 25.81/26.11 % SZS output end Refutation
% 25.81/26.11 ============================== end of proof ==========================
% 25.81/26.11
% 25.81/26.11 ============================== STATISTICS ============================
% 25.81/26.11
% 25.81/26.11 Given=3320. Generated=1161036. Kept=23825. proofs=1.
% 25.81/26.11 Usable=497. Sos=1997. Demods=20. Limbo=84, Disabled=21287. Hints=0.
% 25.81/26.11 Megabytes=21.26.
% 25.81/26.11 User_CPU=24.48, System_CPU=0.63, Wall_clock=25.
% 25.81/26.11
% 25.81/26.11 ============================== end of statistics =====================
% 25.81/26.11
% 25.81/26.11 ============================== end of search =========================
% 25.81/26.11
% 25.81/26.11 THEOREM PROVED
% 25.81/26.11 % SZS status Unsatisfiable
% 25.81/26.11
% 25.81/26.11 Exiting with 1 proof.
% 25.81/26.11
% 25.81/26.11 Process 6227 exit (max_proofs) Mon Jun 13 06:23:44 2022
% 25.81/26.11 Prover9 interrupted
%------------------------------------------------------------------------------