TSTP Solution File: GRP236-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP236-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 11:18:16 EDT 2022
% Result : Unsatisfiable 15.30s 15.59s
% Output : Refutation 15.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP236-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 09:29:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.30/15.59 ============================== Prover9 ===============================
% 15.30/15.59 Prover9 (32) version 2009-11A, November 2009.
% 15.30/15.59 Process 13502 was started by sandbox2 on n022.cluster.edu,
% 15.30/15.59 Mon Jun 13 09:29:19 2022
% 15.30/15.59 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13249_n022.cluster.edu".
% 15.30/15.59 ============================== end of head ===========================
% 15.30/15.59
% 15.30/15.59 ============================== INPUT =================================
% 15.30/15.59
% 15.30/15.59 % Reading from file /tmp/Prover9_13249_n022.cluster.edu
% 15.30/15.59
% 15.30/15.59 set(prolog_style_variables).
% 15.30/15.59 set(auto2).
% 15.30/15.59 % set(auto2) -> set(auto).
% 15.30/15.59 % set(auto) -> set(auto_inference).
% 15.30/15.59 % set(auto) -> set(auto_setup).
% 15.30/15.59 % set(auto_setup) -> set(predicate_elim).
% 15.30/15.59 % set(auto_setup) -> assign(eq_defs, unfold).
% 15.30/15.59 % set(auto) -> set(auto_limits).
% 15.30/15.59 % set(auto_limits) -> assign(max_weight, "100.000").
% 15.30/15.59 % set(auto_limits) -> assign(sos_limit, 20000).
% 15.30/15.59 % set(auto) -> set(auto_denials).
% 15.30/15.59 % set(auto) -> set(auto_process).
% 15.30/15.59 % set(auto2) -> assign(new_constants, 1).
% 15.30/15.59 % set(auto2) -> assign(fold_denial_max, 3).
% 15.30/15.59 % set(auto2) -> assign(max_weight, "200.000").
% 15.30/15.59 % set(auto2) -> assign(max_hours, 1).
% 15.30/15.59 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 15.30/15.59 % set(auto2) -> assign(max_seconds, 0).
% 15.30/15.59 % set(auto2) -> assign(max_minutes, 5).
% 15.30/15.59 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 15.30/15.59 % set(auto2) -> set(sort_initial_sos).
% 15.30/15.59 % set(auto2) -> assign(sos_limit, -1).
% 15.30/15.59 % set(auto2) -> assign(lrs_ticks, 3000).
% 15.30/15.59 % set(auto2) -> assign(max_megs, 400).
% 15.30/15.59 % set(auto2) -> assign(stats, some).
% 15.30/15.59 % set(auto2) -> clear(echo_input).
% 15.30/15.59 % set(auto2) -> set(quiet).
% 15.30/15.59 % set(auto2) -> clear(print_initial_clauses).
% 15.30/15.59 % set(auto2) -> clear(print_given).
% 15.30/15.59 assign(lrs_ticks,-1).
% 15.30/15.59 assign(sos_limit,10000).
% 15.30/15.59 assign(order,kbo).
% 15.30/15.59 set(lex_order_vars).
% 15.30/15.59 clear(print_given).
% 15.30/15.59
% 15.30/15.59 % formulas(sos). % not echoed (30 formulas)
% 15.30/15.59
% 15.30/15.59 ============================== end of input ==========================
% 15.30/15.59
% 15.30/15.59 % From the command line: assign(max_seconds, 300).
% 15.30/15.59
% 15.30/15.59 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 15.30/15.59
% 15.30/15.59 % Formulas that are not ordinary clauses:
% 15.30/15.59
% 15.30/15.59 ============================== end of process non-clausal formulas ===
% 15.30/15.59
% 15.30/15.59 ============================== PROCESS INITIAL CLAUSES ===============
% 15.30/15.59
% 15.30/15.59 ============================== PREDICATE ELIMINATION =================
% 15.30/15.59
% 15.30/15.59 ============================== end predicate elimination =============
% 15.30/15.59
% 15.30/15.59 Auto_denials: (non-Horn, no changes).
% 15.30/15.59
% 15.30/15.59 Term ordering decisions:
% 15.30/15.59
% 15.30/15.59 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 15.30/15.59 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c3=1. sk_c1=1. sk_c2=1. sk_c4=1. sk_c5=1. sk_c6=1. identity=1. multiply=1. inverse=0.
% 15.30/15.59
% 15.30/15.59 ============================== end of process initial clauses ========
% 15.30/15.59
% 15.30/15.59 ============================== CLAUSES FOR SEARCH ====================
% 15.30/15.59
% 15.30/15.59 ============================== end of clauses for search =============
% 15.30/15.59
% 15.30/15.59 ============================== SEARCH ================================
% 15.30/15.59
% 15.30/15.59 % Starting search at 0.02 seconds.
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=37.000, iters=3396
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=36.000, iters=3339
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=35.000, iters=3379
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=34.000, iters=3490
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=33.000, iters=3424
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=32.000, iters=3424
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=30.000, iters=3377
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=29.000, iters=3339
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=28.000, iters=3381
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=27.000, iters=3358
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=26.000, iters=3353
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=25.000, iters=3342
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=24.000, iters=3361
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=23.000, iters=3334
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=22.000, iters=3362
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=21.000, iters=3342
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=20.000, iters=3334
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=19.000, iters=3344
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=18.000, iters=3386
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=17.000, iters=3341
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=16.000, iters=3478
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=15.000, iters=3333
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=14.000, iters=3336
% 15.30/15.59
% 15.30/15.59 Low Water (keep): wt=13.000, iters=3336
% 15.30/15.59
% 15.30/15.59 ============================== PROOF =================================
% 15.30/15.59 % SZS status Unsatisfiable
% 15.30/15.59 % SZS output start Refutation
% 15.30/15.59
% 15.30/15.59 % Proof 1 at 14.20 (+ 0.42) seconds.
% 15.30/15.59 % Length of proof is 142.
% 15.30/15.59 % Level of proof is 27.
% 15.30/15.59 % Maximum clause weight is 51.000.
% 15.30/15.59 % Given clauses 2243.
% 15.30/15.59
% 15.30/15.59 1 inverse(sk_c8) = sk_c7 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 15.30/15.59 2 sk_c7 = inverse(sk_c8). [copy(1),flip(a)].
% 15.30/15.59 3 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 15.30/15.59 4 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 15.30/15.59 5 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 15.30/15.59 6 inverse(sk_c1) = sk_c8 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 15.30/15.59 7 inverse(sk_c2) = sk_c3 | inverse(sk_c4) = sk_c8 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 15.30/15.59 8 inverse(sk_c2) = sk_c3 | inverse(sk_c5) = sk_c8 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 15.30/15.59 9 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 15.30/15.59 10 inverse(sk_c1) = sk_c8 | multiply(sk_c4,inverse(sk_c8)) = sk_c8. [copy(9),rewrite([2(6)])].
% 15.30/15.59 11 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 15.30/15.59 12 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c6) = inverse(sk_c8). [copy(11),rewrite([2(8)])].
% 15.30/15.59 13 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 15.30/15.59 18 multiply(sk_c2,sk_c3) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 15.30/15.59 19 multiply(sk_c2,sk_c3) = inverse(sk_c8) | inverse(sk_c4) = sk_c8. [copy(18),rewrite([2(4)])].
% 15.30/15.59 20 multiply(sk_c2,sk_c3) = sk_c7 | inverse(sk_c5) = sk_c8 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 15.30/15.59 21 multiply(sk_c2,sk_c3) = inverse(sk_c8) | inverse(sk_c5) = sk_c8. [copy(20),rewrite([2(4)])].
% 15.30/15.59 22 inverse(sk_c2) = sk_c3 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 15.30/15.59 23 inverse(sk_c2) = sk_c3 | multiply(sk_c4,inverse(sk_c8)) = sk_c8. [copy(22),rewrite([2(6)])].
% 15.30/15.59 24 inverse(sk_c2) = sk_c3 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 15.30/15.59 25 inverse(sk_c2) = sk_c3 | multiply(sk_c8,sk_c6) = inverse(sk_c8). [copy(24),rewrite([2(8)])].
% 15.30/15.59 26 inverse(sk_c2) = sk_c3 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 15.30/15.59 31 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c8 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 15.30/15.59 32 multiply(sk_c1,inverse(sk_c8)) = sk_c8 | multiply(sk_c4,inverse(sk_c8)) = sk_c8. [copy(31),rewrite([2(2),2(8)])].
% 15.30/15.59 39 multiply(sk_c2,sk_c3) = sk_c7 | multiply(sk_c8,sk_c6) = sk_c7 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 15.30/15.59 40 multiply(sk_c2,sk_c3) = inverse(sk_c8) | multiply(sk_c8,sk_c6) = inverse(sk_c8). [copy(39),rewrite([2(4),2(10)])].
% 15.30/15.59 41 multiply(sk_c2,sk_c3) = sk_c7 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 15.30/15.59 42 multiply(sk_c2,sk_c3) = inverse(sk_c8) | multiply(sk_c5,sk_c8) = sk_c6. [copy(41),rewrite([2(4)])].
% 15.30/15.59 49 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 15.30/15.59 50 inverse(sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(A,sk_c7) != sk_c8 | multiply(B,C) != sk_c7 | inverse(B) != C | multiply(C,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_27) # label(negated_conjecture). [assumption].
% 15.30/15.59 51 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(B,C) != inverse(sk_c8) | inverse(B) != C | multiply(C,sk_c8) != inverse(sk_c8) | inverse(D) != sk_c8 | multiply(D,inverse(sk_c8)) != sk_c8 | multiply(sk_c8,E) != inverse(sk_c8) | multiply(F,sk_c8) != E | inverse(F) != sk_c8. [copy(50),rewrite([2(3),2(9),2(15),2(22),2(28),2(35)]),xx(a)].
% 15.30/15.59 53 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(B,C) != inverse(sk_c8) | inverse(B) != C | multiply(C,sk_c8) != inverse(sk_c8) | multiply(sk_c8,D) != inverse(sk_c8) | multiply(E,sk_c8) != D | inverse(E) != sk_c8. [factor(51,a,f),merge(f)].
% 15.30/15.59 84 inverse(sk_c1) = sk_c8 | multiply(sk_c8,sk_c4) = identity. [para(5(b,1),4(a,1,1))].
% 15.30/15.59 88 multiply(inverse(A),multiply(A,B)) = B. [para(4(a,1),49(a,1,1)),rewrite([3(2)]),flip(a)].
% 15.30/15.59 89 inverse(sk_c1) = sk_c8 | multiply(sk_c4,multiply(inverse(sk_c8),A)) = multiply(sk_c8,A). [para(10(b,1),49(a,1,1)),flip(b)].
% 15.30/15.59 92 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,inverse(sk_c8)). [para(12(b,1),49(a,2,2)),rewrite([49(8)])].
% 15.30/15.59 94 inverse(sk_c1) = sk_c8 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(13(b,1),49(a,2,2)),rewrite([49(8)])].
% 15.30/15.59 101 inverse(sk_c5) = sk_c8 | multiply(sk_c2,multiply(sk_c3,A)) = multiply(inverse(sk_c8),A). [para(21(a,1),49(a,1,1)),flip(b)].
% 15.30/15.59 103 inverse(sk_c2) = sk_c3 | multiply(sk_c4,multiply(inverse(sk_c8),A)) = multiply(sk_c8,A). [para(23(b,1),49(a,1,1)),flip(b)].
% 15.30/15.59 106 inverse(sk_c2) = sk_c3 | multiply(A,multiply(sk_c8,sk_c6)) = multiply(A,inverse(sk_c8)). [para(25(b,1),49(a,2,2)),rewrite([49(8)])].
% 15.30/15.59 108 inverse(sk_c2) = sk_c3 | multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6). [para(26(b,1),49(a,2,2)),rewrite([49(8)])].
% 15.30/15.59 121 multiply(sk_c8,sk_c6) = inverse(sk_c8) | multiply(sk_c2,multiply(sk_c3,A)) = multiply(inverse(sk_c8),A). [para(40(a,1),49(a,1,1)),flip(b)].
% 15.30/15.59 162 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(B,C) != inverse(sk_c8) | inverse(B) != C | multiply(C,sk_c8) != inverse(sk_c8) | multiply(sk_c8,identity) != inverse(sk_c8) | inverse(inverse(sk_c8)) != sk_c8. [resolve(53,g,4,a)].
% 15.30/15.59 199 inverse(multiply(A,B)) != sk_c8 | multiply(A,multiply(B,inverse(sk_c8))) != sk_c8 | multiply(C,D) != inverse(sk_c8) | inverse(C) != D | multiply(D,sk_c8) != inverse(sk_c8) | multiply(sk_c8,E) != inverse(sk_c8) | multiply(F,sk_c8) != E | inverse(F) != sk_c8. [para(49(a,1),53(b,1))].
% 15.30/15.59 341 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,B) != inverse(sk_c8) | inverse(A) != B | multiply(B,sk_c8) != inverse(sk_c8) | multiply(sk_c8,identity) != inverse(sk_c8). [factor(162,a,g)].
% 15.30/15.59 488 inverse(multiply(A,B)) != sk_c8 | multiply(A,multiply(B,inverse(sk_c8))) != sk_c8 | multiply(sk_c8,C) != inverse(sk_c8) | inverse(sk_c8) != C | multiply(C,sk_c8) != inverse(sk_c8) | multiply(D,sk_c8) != C | inverse(D) != sk_c8. [factor(199,c,f)].
% 15.30/15.59 814 inverse(multiply(A,B)) != sk_c8 | multiply(A,multiply(B,inverse(sk_c8))) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != inverse(sk_c8) | inverse(sk_c8) != identity | inverse(inverse(sk_c8)) != sk_c8. [factor(488,e,f),rewrite([4(26)]),flip(e),xx(d)].
% 15.30/15.59 945 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(B,inverse(sk_c8)) != inverse(inverse(B)) | multiply(B,identity) != inverse(sk_c8) | multiply(sk_c8,C) != inverse(sk_c8) | multiply(D,sk_c8) != C | inverse(D) != sk_c8. [resolve(88,a,53,c),rewrite([49(19),4(18)]),flip(c)].
% 15.30/15.59 947 multiply(inverse(inverse(A)),identity) = A. [para(4(a,1),88(a,1,2))].
% 15.30/15.59 968 multiply(sk_c2,sk_c3) = inverse(sk_c8) | multiply(inverse(sk_c5),sk_c6) = sk_c8. [para(42(b,1),88(a,1,2))].
% 15.30/15.59 977 inverse(sk_c1) = sk_c8 | multiply(inverse(sk_c8),identity) = sk_c4. [para(84(b,1),88(a,1,2))].
% 15.30/15.59 978 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(88(a,1),88(a,1,2))].
% 15.30/15.59 980 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != inverse(inverse(sk_c8)) | multiply(sk_c8,identity) != inverse(sk_c8) | multiply(B,sk_c8) != identity | inverse(B) != sk_c8. [factor(945,d,e)].
% 15.30/15.59 989 multiply(A,identity) = A. [back_rewrite(947),rewrite([978(4)])].
% 15.30/15.59 1004 inverse(A) != sk_c8 | multiply(A,inverse(sk_c8)) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != inverse(inverse(sk_c8)) | inverse(sk_c8) != sk_c8 | multiply(B,sk_c8) != identity | inverse(B) != sk_c8. [back_rewrite(980),rewrite([989(19)]),flip(d)].
% 15.30/15.59 1005 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c4. [back_rewrite(977),rewrite([989(8)])].
% 15.30/15.60 1033 inverse(inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,B) != inverse(sk_c8) | inverse(A) != B | multiply(B,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [back_rewrite(341),rewrite([989(26)]),flip(f)].
% 15.30/15.60 1037 inverse(sk_c8) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != sk_c8 | multiply(sk_c8,inverse(sk_c8)) != inverse(inverse(sk_c8)) | multiply(A,sk_c8) != identity | inverse(A) != sk_c8. [factor(1004,a,d)].
% 15.30/15.60 1053 inverse(identity) = identity. [para(989(a,1),4(a,1))].
% 15.30/15.60 1187 multiply(A,inverse(A)) = identity. [para(978(a,1),4(a,1))].
% 15.30/15.60 1237 multiply(A,multiply(inverse(A),B)) = B. [para(978(a,1),88(a,1))].
% 15.30/15.60 1238 inverse(inverse(A)) = A. [para(978(a,1),989(a,1)),rewrite([989(2)]),flip(a)].
% 15.30/15.60 1265 inverse(sk_c8) != sk_c8 | identity != sk_c8 | multiply(A,sk_c8) != identity | inverse(A) != sk_c8. [back_rewrite(1037),rewrite([1187(8),1187(11),1238(11)]),merge(c)].
% 15.30/15.60 1310 inverse(multiply(A,B)) != sk_c8 | multiply(A,multiply(B,inverse(sk_c8))) != sk_c8 | inverse(sk_c8) != identity. [back_rewrite(814),rewrite([1187(14),1238(21)]),flip(c),xx(e),merge(d)].
% 15.30/15.60 1334 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,B) != inverse(sk_c8) | inverse(A) != B | multiply(B,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [back_rewrite(1033),rewrite([1238(3)]),xx(a)].
% 15.30/15.60 1354 inverse(sk_c8) = sk_c4 | inverse(sk_c8) = sk_c1. [para(1005(a,1),1238(a,1,1))].
% 15.30/15.60 1358 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c8) = identity. [para(5(b,1),1187(a,1,2))].
% 15.30/15.60 1359 inverse(sk_c1) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(6(b,1),1187(a,1,2))].
% 15.30/15.60 1361 inverse(sk_c2) = sk_c3 | multiply(sk_c5,sk_c8) = identity. [para(8(b,1),1187(a,1,2))].
% 15.30/15.60 1362 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(1187(a,1),49(a,1)),flip(a)].
% 15.30/15.60 1714 inverse(sk_c8) != sk_c8 | identity != sk_c8. [resolve(1265,c,4,a),rewrite([1238(10)]),xx(c)].
% 15.30/15.60 1734 inverse(multiply(A,multiply(B,C))) != sk_c8 | multiply(A,multiply(B,multiply(C,inverse(sk_c8)))) != sk_c8 | inverse(sk_c8) != identity. [para(49(a,1),1310(b,1,2))].
% 15.30/15.60 1746 inverse(sk_c1) = sk_c8 | multiply(sk_c4,sk_c6) = identity. [para(92(b,1),89(b,2)),rewrite([88(15),1187(15)]),merge(b)].
% 15.30/15.60 2018 inverse(multiply(A,multiply(inverse(multiply(B,inverse(sk_c8))),B))) != sk_c8 | sk_c8 != A | inverse(sk_c8) != identity. [para(4(a,1),1734(b,1,2)),rewrite([989(11)]),flip(b)].
% 15.30/15.60 2045 inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(sk_c8))),C)))) != sk_c8 | multiply(A,B) != sk_c8 | inverse(sk_c8) != identity. [para(49(a,1),2018(a,1,1)),flip(b)].
% 15.30/15.60 2065 inverse(sk_c1) = sk_c8 | multiply(A,sk_c6) = A. [para(1359(b,1),94(b,1,2)),rewrite([989(10)]),flip(c),merge(b)].
% 15.30/15.60 2460 inverse(multiply(A,multiply(B,multiply(C,multiply(inverse(multiply(D,inverse(sk_c8))),D))))) != sk_c8 | multiply(A,multiply(B,C)) != sk_c8 | inverse(sk_c8) != identity. [para(49(a,1),2045(a,1,1,2))].
% 15.30/15.60 3027 inverse(sk_c1) = sk_c8 | inverse(sk_c4) = sk_c6. [para(1746(b,1),88(a,1,2)),rewrite([989(8)])].
% 15.30/15.60 3039 inverse(sk_c1) = sk_c8 | inverse(sk_c6) = sk_c4. [para(3027(b,1),1238(a,1,1))].
% 15.30/15.60 3865 inverse(sk_c1) = sk_c8 | inverse(sk_c6) = identity. [para(2065(b,1),4(a,1))].
% 15.30/15.60 3866 inverse(sk_c1) = sk_c8 | inverse(sk_c8) = sk_c8. [para(2065(b,1),12(b,1)),flip(c),merge(b)].
% 15.30/15.60 4184 inverse(sk_c1) = sk_c8 | multiply(sk_c6,A) = A. [para(3865(b,1),88(a,1,1)),rewrite([3(8)])].
% 15.30/15.60 4185 inverse(sk_c8) = sk_c8 | multiply(sk_c8,sk_c1) = identity. [para(3866(a,1),4(a,1,1))].
% 15.30/15.60 4188 inverse(sk_c8) = sk_c8 | multiply(sk_c1,sk_c8) = identity. [para(3866(a,1),1187(a,1,2))].
% 15.30/15.60 4688 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,multiply(B,C)) != inverse(sk_c8) | inverse(multiply(A,B)) != C | multiply(C,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [para(49(a,1),1334(b,1))].
% 15.30/15.60 5131 inverse(sk_c2) = sk_c3 | multiply(sk_c4,sk_c6) = identity. [para(106(b,1),103(b,2)),rewrite([88(15),1187(15)]),merge(b)].
% 15.30/15.60 5329 inverse(sk_c1) = sk_c8 | multiply(inverse(sk_c6),A) = A. [para(4184(b,1),88(a,1,2))].
% 15.30/15.60 5664 inverse(A) != sk_c8 | multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,inverse(sk_c8))),C))),B)) != sk_c8 | inverse(sk_c8) != identity. [para(4(a,1),2460(a,1,1,2)),rewrite([989(2)])].
% 15.30/15.60 5667 inverse(multiply(sk_c8,multiply(inverse(multiply(A,inverse(sk_c8))),A))) != sk_c8 | inverse(sk_c8) != identity. [resolve(5664,b,1237,a)].
% 15.30/15.60 5695 inverse(sk_c2) = sk_c3 | inverse(sk_c4) = sk_c6. [para(5131(b,1),88(a,1,2)),rewrite([989(8)])].
% 15.30/15.60 5717 inverse(sk_c2) = sk_c3 | inverse(sk_c6) = sk_c4. [para(5695(b,1),1238(a,1,1))].
% 15.30/15.60 5730 inverse(sk_c2) = sk_c3 | multiply(A,sk_c6) = A. [para(1361(b,1),108(b,1,2)),rewrite([989(10)]),flip(c),merge(b)].
% 15.30/15.60 5744 inverse(multiply(sk_c8,multiply(inverse(multiply(A,multiply(B,inverse(sk_c8)))),multiply(A,B)))) != sk_c8 | inverse(sk_c8) != identity. [para(49(a,1),5667(a,1,1,2,1,1))].
% 15.30/15.60 5784 inverse(multiply(sk_c8,multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(sk_c8))))),multiply(A,multiply(B,C))))) != sk_c8 | inverse(sk_c8) != identity. [para(49(a,1),5744(a,1,1,2,1,1,2))].
% 15.30/15.60 5937 inverse(sk_c8) = sk_c8 | inverse(multiply(sk_c8,multiply(inverse(multiply(A,multiply(sk_c8,multiply(sk_c1,inverse(sk_c8))))),A))) != sk_c8 | inverse(sk_c8) != identity. [para(4185(b,1),5784(a,1,1,2,2,2)),rewrite([989(15)])].
% 15.30/15.60 6476 inverse(sk_c2) = sk_c3 | inverse(sk_c6) = identity. [para(5730(b,1),4(a,1))].
% 15.30/15.60 6477 inverse(sk_c2) = sk_c3 | inverse(sk_c8) = sk_c8. [para(5730(b,1),25(b,1)),flip(c),merge(b)].
% 15.30/15.60 6624 inverse(sk_c2) = sk_c3 | multiply(sk_c6,A) = A. [para(6476(b,1),88(a,1,1)),rewrite([3(8)])].
% 15.30/15.60 6628 inverse(sk_c8) = sk_c8 | multiply(sk_c2,sk_c3) = identity. [para(6477(a,1),1187(a,1,2))].
% 15.30/15.60 7764 inverse(sk_c2) = sk_c3 | multiply(inverse(sk_c6),A) = A. [para(6624(b,1),88(a,1,2))].
% 15.30/15.60 10366 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(1362(a,1),88(a,1,2)),rewrite([989(3)]),flip(a)].
% 15.30/15.60 10380 inverse(sk_c5) = sk_c8 | multiply(inverse(sk_c8),inverse(multiply(sk_c2,sk_c3))) = identity. [para(1362(a,1),101(b,1)),flip(b)].
% 15.30/15.60 10409 multiply(sk_c8,sk_c6) = inverse(sk_c8) | multiply(inverse(sk_c8),inverse(multiply(sk_c2,sk_c3))) = identity. [para(1362(a,1),121(b,1)),flip(b)].
% 15.30/15.60 10524 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(10366(a,1),88(a,1,2)),flip(a)].
% 15.30/15.60 10649 multiply(sk_c8,sk_c6) = inverse(sk_c8) | multiply(inverse(sk_c8),multiply(inverse(sk_c3),inverse(sk_c2))) = identity. [back_rewrite(10409),rewrite([10524(12)])].
% 15.30/15.60 10670 inverse(sk_c5) = sk_c8 | multiply(inverse(sk_c8),multiply(inverse(sk_c3),inverse(sk_c2))) = identity. [back_rewrite(10380),rewrite([10524(10)])].
% 15.30/15.60 11107 inverse(sk_c8) = sk_c8 | multiply(sk_c8,multiply(sk_c1,multiply(inverse(sk_c8),inverse(sk_c8)))) != sk_c8 | inverse(sk_c8) != identity. [back_rewrite(5937),rewrite([10524(13),10524(12),10524(10),1238(8),49(12),49(14),49(13),49(15),49(14),49(13),4(12),989(12),10524(14),10524(12),10524(10),1238(7),1238(8),49(10),49(13),49(12)])].
% 15.30/15.60 11260 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,multiply(B,C)) != inverse(sk_c8) | multiply(inverse(B),inverse(A)) != C | multiply(C,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [back_rewrite(4688),rewrite([10524(14)])].
% 15.30/15.60 13983 inverse(sk_c1) = sk_c8 | multiply(sk_c4,A) = A. [para(3039(b,1),5329(b,1,1)),merge(b)].
% 15.30/15.60 14085 inverse(sk_c1) = sk_c8 | identity = sk_c8. [para(13983(b,1),1358(b,1)),flip(c),merge(b)].
% 15.30/15.60 14088 identity = sk_c8 | inverse(sk_c8) = sk_c1. [para(14085(a,1),1238(a,1,1))].
% 15.30/15.60 14657 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != A | multiply(B,inverse(A)) != B | multiply(B,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [para(4(a,1),11260(b,1,2)),rewrite([989(9),1238(12)]),flip(b)].
% 15.30/15.60 15195 inverse(sk_c2) = sk_c3 | multiply(sk_c4,A) = A. [para(5717(b,1),7764(b,1,1)),merge(b)].
% 15.30/15.60 15236 inverse(sk_c2) = sk_c3 | multiply(inverse(sk_c4),A) = A. [para(15195(b,1),88(a,1,2))].
% 15.30/15.60 15629 inverse(sk_c8) = sk_c8 | multiply(inverse(sk_c8),inverse(sk_c1)) = identity. [para(4188(b,1),10524(a,1,1)),rewrite([1053(6)]),flip(b)].
% 15.30/15.60 15645 inverse(sk_c8) = sk_c8 | multiply(inverse(A),inverse(sk_c2)) = multiply(inverse(A),sk_c3). [para(6477(a,1),10524(a,2,2)),rewrite([10524(7)])].
% 15.30/15.60 15925 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,B) != inverse(sk_c8) | multiply(C,multiply(inverse(B),inverse(A))) != C | multiply(C,sk_c8) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [para(10524(a,1),14657(c,1,2)),flip(b)].
% 15.30/15.60 16054 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(A,sk_c8) != inverse(sk_c8) | multiply(A,multiply(inverse(sk_c8),inverse(A))) != A | inverse(sk_c8) != sk_c8. [factor(15925,b,d)].
% 15.30/15.60 16064 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(inverse(A),sk_c8) != inverse(sk_c8) | multiply(inverse(A),multiply(inverse(sk_c8),A)) != inverse(A) | inverse(sk_c8) != sk_c8. [para(1238(a,1),16054(c,1,2,2))].
% 15.30/15.60 16159 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | inverse(sk_c8) != inverse(A) | multiply(inverse(A),multiply(inverse(sk_c8),A)) != multiply(inverse(A),inverse(sk_c8)) | inverse(sk_c8) != sk_c8. [para(88(a,1),16064(c,1,2)),rewrite([10524(10),49(13),4(12),989(10),10524(14),49(16),10524(19)]),flip(b)].
% 15.30/15.60 16230 multiply(inverse(sk_c8),inverse(sk_c8)) != sk_c8 | multiply(inverse(sk_c8),inverse(sk_c8)) != inverse(sk_c8) | inverse(sk_c8) != sk_c8. [para(4(a,1),16159(c,1,2)),rewrite([989(16)]),flip(c),xx(b)].
% 15.30/15.60 18877 inverse(sk_c2) = sk_c3 | multiply(sk_c8,A) = A. [para(7(b,1),15236(b,1,1)),merge(b)].
% 15.30/15.60 18908 inverse(sk_c2) = sk_c3 | inverse(sk_c8) = identity. [para(18877(b,1),1187(a,1))].
% 15.30/15.60 18967 inverse(sk_c8) = identity | multiply(sk_c2,sk_c3) = identity. [para(18908(a,1),1187(a,1,2))].
% 15.30/15.60 19033 inverse(sk_c8) = identity | inverse(sk_c4) = sk_c8. [para(18967(b,1),19(a,1)),flip(b),merge(b)].
% 15.30/15.60 19040 inverse(sk_c8) = identity | inverse(sk_c8) = sk_c4. [para(19033(b,1),1238(a,1,1))].
% 15.30/15.60 19048 inverse(sk_c8) = sk_c4 | identity = sk_c8. [para(19040(a,1),4(a,1,1)),rewrite([3(7)]),flip(b)].
% 15.30/15.60 19128 identity = sk_c8 | sk_c4 = sk_c1. [para(19048(a,1),14088(b,1)),merge(b)].
% 15.30/15.60 19169 sk_c4 = sk_c1 | inverse(sk_c8) = identity. [para(19128(a,1),1053(a,1,1))].
% 15.30/15.60 19477 sk_c4 = sk_c1 | identity != sk_c8. [para(19169(b,1),1714(a,1)),merge(c)].
% 15.30/15.60 19517 sk_c4 = sk_c1. [resolve(19477,b,19128,a),merge(b)].
% 15.30/15.60 21152 inverse(sk_c8) = sk_c1. [back_rewrite(1354),rewrite([19517(3)]),merge(b)].
% 15.30/15.60 21190 multiply(sk_c1,sk_c1) = sk_c8. [back_rewrite(32),rewrite([21152(3),19517(6),21152(8)]),merge(b)].
% 15.30/15.60 21194 inverse(sk_c1) = sk_c8. [back_rewrite(5),rewrite([19517(5)]),merge(b)].
% 15.30/15.60 22286 sk_c1 != sk_c8. [back_rewrite(16230),rewrite([21152(2),21152(3),21190(3),21152(5),21152(6),21190(6),21152(6),21152(8)]),flip(b),xx(a),merge(b)].
% 15.30/15.60 22382 multiply(inverse(A),inverse(sk_c2)) = multiply(inverse(A),sk_c3). [back_rewrite(15645),rewrite([21152(2)]),unit_del(a,22286)].
% 15.30/15.60 22384 multiply(sk_c1,sk_c8) = identity. [back_rewrite(15629),rewrite([21152(2),21152(5),21194(6)]),unit_del(a,22286)].
% 15.30/15.60 23112 identity != sk_c1. [back_rewrite(11107),rewrite([21152(2),21152(7),21152(8),21190(8),22384(7),989(6),21152(8)]),flip(c),xx(b),unit_del(a,22286)].
% 15.30/15.60 23125 inverse(sk_c5) = sk_c8. [back_rewrite(10670),rewrite([21152(6),22382(10),4(9),989(7)]),flip(b),unit_del(b,23112)].
% 15.30/15.60 23128 multiply(sk_c8,sk_c6) = sk_c1. [back_rewrite(10649),rewrite([21152(5),21152(7),22382(11),4(10),989(8)]),flip(b),unit_del(b,23112)].
% 15.30/15.60 23193 multiply(sk_c2,sk_c3) = identity. [back_rewrite(6628),rewrite([21152(2)]),unit_del(a,22286)].
% 15.30/15.60 23255 $F. [back_rewrite(968),rewrite([23193(3),21152(3),23125(5),23128(6)]),unit_del(a,23112),unit_del(b,22286)].
% 15.30/15.60
% 15.30/15.60 % SZS output end Refutation
% 15.30/15.60 ============================== end of proof ==========================
% 15.30/15.60
% 15.30/15.60 ============================== STATISTICS ============================
% 15.30/15.60
% 15.30/15.60 Given=2243. Generated=833856. Kept=23233. proofs=1.
% 15.30/15.60 Usable=506. Sos=1529. Demods=36. Limbo=2103, Disabled=19125. Hints=0.
% 15.30/15.60 Megabytes=19.07.
% 15.30/15.60 User_CPU=14.20, System_CPU=0.42, Wall_clock=14.
% 15.30/15.60
% 15.30/15.60 ============================== end of statistics =====================
% 15.30/15.60
% 15.30/15.60 ============================== end of search =========================
% 15.30/15.60
% 15.30/15.60 THEOREM PROVED
% 15.30/15.60 % SZS status Unsatisfiable
% 15.30/15.60
% 15.30/15.60 Exiting with 1 proof.
% 15.30/15.60
% 15.30/15.60 Process 13502 exit (max_proofs) Mon Jun 13 09:29:33 2022
% 15.30/15.60 Prover9 interrupted
%------------------------------------------------------------------------------