TSTP Solution File: GRP258-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 11:18:22 EDT 2022
% Result : Unsatisfiable 8.57s 8.85s
% Output : Refutation 8.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.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 19:41:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.10/5.39 ============================== Prover9 ===============================
% 5.10/5.39 Prover9 (32) version 2009-11A, November 2009.
% 5.10/5.39 Process 18686 was started by sandbox2 on n019.cluster.edu,
% 5.10/5.39 Mon Jun 13 19:41:40 2022
% 5.10/5.39 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18533_n019.cluster.edu".
% 5.10/5.39 ============================== end of head ===========================
% 5.10/5.39
% 5.10/5.39 ============================== INPUT =================================
% 5.10/5.39
% 5.10/5.39 % Reading from file /tmp/Prover9_18533_n019.cluster.edu
% 5.10/5.39
% 5.10/5.39 set(prolog_style_variables).
% 5.10/5.39 set(auto2).
% 5.10/5.39 % set(auto2) -> set(auto).
% 5.10/5.39 % set(auto) -> set(auto_inference).
% 5.10/5.39 % set(auto) -> set(auto_setup).
% 5.10/5.39 % set(auto_setup) -> set(predicate_elim).
% 5.10/5.39 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.10/5.39 % set(auto) -> set(auto_limits).
% 5.10/5.39 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.10/5.39 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.10/5.39 % set(auto) -> set(auto_denials).
% 5.10/5.39 % set(auto) -> set(auto_process).
% 5.10/5.39 % set(auto2) -> assign(new_constants, 1).
% 5.10/5.39 % set(auto2) -> assign(fold_denial_max, 3).
% 5.10/5.39 % set(auto2) -> assign(max_weight, "200.000").
% 5.10/5.39 % set(auto2) -> assign(max_hours, 1).
% 5.10/5.39 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.10/5.39 % set(auto2) -> assign(max_seconds, 0).
% 5.10/5.39 % set(auto2) -> assign(max_minutes, 5).
% 5.10/5.39 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.10/5.39 % set(auto2) -> set(sort_initial_sos).
% 5.10/5.39 % set(auto2) -> assign(sos_limit, -1).
% 5.10/5.39 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.10/5.39 % set(auto2) -> assign(max_megs, 400).
% 5.10/5.39 % set(auto2) -> assign(stats, some).
% 5.10/5.39 % set(auto2) -> clear(echo_input).
% 5.10/5.39 % set(auto2) -> set(quiet).
% 5.10/5.39 % set(auto2) -> clear(print_initial_clauses).
% 5.10/5.39 % set(auto2) -> clear(print_given).
% 5.10/5.39 assign(lrs_ticks,-1).
% 5.10/5.39 assign(sos_limit,10000).
% 5.10/5.39 assign(order,kbo).
% 5.10/5.39 set(lex_order_vars).
% 5.10/5.39 clear(print_given).
% 5.10/5.39
% 5.10/5.39 % formulas(sos). % not echoed (74 formulas)
% 5.10/5.39
% 5.10/5.39 ============================== end of input ==========================
% 5.10/5.39
% 5.10/5.39 % From the command line: assign(max_seconds, 300).
% 5.10/5.39
% 5.10/5.39 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.10/5.39
% 5.10/5.39 % Formulas that are not ordinary clauses:
% 5.10/5.39
% 5.10/5.39 ============================== end of process non-clausal formulas ===
% 5.10/5.39
% 5.10/5.39 ============================== PROCESS INITIAL CLAUSES ===============
% 5.10/5.39
% 5.10/5.39 ============================== PREDICATE ELIMINATION =================
% 5.10/5.39
% 5.10/5.39 ============================== end predicate elimination =============
% 5.10/5.39
% 5.10/5.39 Auto_denials: (non-Horn, no changes).
% 5.10/5.39
% 5.10/5.39 Term ordering decisions:
% 5.10/5.39
% 5.10/5.39 % Assigning unary symbol inverse kb_weight 0 and highest precedence (16).
% 5.10/5.39 Function symbol KB weights: sk_c11=1. sk_c12=1. sk_c10=1. sk_c9=1. sk_c7=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c6=1. sk_c8=1. identity=1. multiply=1. inverse=0.
% 5.10/5.39
% 5.10/5.39 ============================== end of process initial clauses ========
% 5.10/5.39
% 5.10/5.39 ============================== CLAUSES FOR SEARCH ====================
% 5.10/5.39
% 5.10/5.39 ============================== end of clauses for search =============
% 5.10/5.39
% 5.10/5.39 ============================== SEARCH ================================
% 5.10/5.39
% 5.10/5.39 % Starting search at 0.13 seconds.
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=2619, wt=71.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=681, wt=62.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=651, wt=61.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=520, wt=59.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=10562, wt=43.000
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=53.000, iters=7643
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=52.000, iters=6888
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=50.000, iters=6098
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=49.000, iters=5275
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=48.000, iters=4060
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=47.000, iters=3431
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=46.000, iters=3340
% 5.10/5.39
% 5.10/5.39 Low Water (keep): wt=45.000, iters=3403
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14575, wt=37.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14623, wt=35.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14648, wt=34.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14689, wt=33.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14840, wt=31.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=14909, wt=30.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15011, wt=29.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15128, wt=28.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15267, wt=26.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15362, wt=25.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15363, wt=24.000
% 5.10/5.39
% 5.10/5.39 Low Water (displace): id=15433, wt=17.000
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=15457, wt=15.000
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=15992, wt=14.000
% 8.57/8.85
% 8.57/8.85 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 4.45 sec).
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=16270, wt=13.000
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=16577, wt=12.000
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=16959, wt=11.000
% 8.57/8.85
% 8.57/8.85 Low Water (keep): wt=44.000, iters=3335
% 8.57/8.85
% 8.57/8.85 Low Water (keep): wt=43.000, iters=3379
% 8.57/8.85
% 8.57/8.85 Low Water (keep): wt=42.000, iters=3333
% 8.57/8.85
% 8.57/8.85 Low Water (keep): wt=41.000, iters=3414
% 8.57/8.85
% 8.57/8.85 Low Water (displace): id=23141, wt=10.000
% 8.57/8.85
% 8.57/8.85 ============================== PROOF =================================
% 8.57/8.85 % SZS status Unsatisfiable
% 8.57/8.85 % SZS output start Refutation
% 8.57/8.85
% 8.57/8.85 % Proof 1 at 7.79 (+ 0.10) seconds.
% 8.57/8.85 % Length of proof is 85.
% 8.57/8.85 % Level of proof is 22.
% 8.57/8.85 % Maximum clause weight is 77.000.
% 8.57/8.85 % Given clauses 748.
% 8.57/8.85
% 8.57/8.85 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 8.57/8.85 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 8.57/8.85 3 inverse(sk_c1) = sk_c12 | inverse(sk_c4) = sk_c12 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 8.57/8.85 5 inverse(sk_c1) = sk_c12 | inverse(sk_c6) = sk_c9 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 8.57/8.85 9 inverse(sk_c2) = sk_c11 | inverse(sk_c5) = sk_c11 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 8.57/8.85 18 multiply(sk_c1,sk_c12) = sk_c11 | inverse(sk_c4) = sk_c12 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 8.57/8.85 23 inverse(sk_c1) = sk_c12 | multiply(sk_c4,sk_c12) = sk_c11 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 8.57/8.85 29 multiply(sk_c2,sk_c11) = sk_c10 | inverse(sk_c5) = sk_c11 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 8.57/8.85 34 inverse(sk_c2) = sk_c11 | multiply(sk_c5,sk_c11) = sk_c10 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 8.57/8.85 38 multiply(sk_c10,sk_c12) = sk_c11 | inverse(sk_c4) = sk_c12 # label(prove_this_42) # label(negated_conjecture). [assumption].
% 8.57/8.85 40 multiply(sk_c10,sk_c12) = sk_c11 | inverse(sk_c6) = sk_c9 # label(prove_this_46) # label(negated_conjecture). [assumption].
% 8.57/8.85 53 multiply(sk_c1,sk_c12) = sk_c11 | multiply(sk_c4,sk_c12) = sk_c11 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 8.57/8.85 59 multiply(sk_c2,sk_c11) = sk_c10 | multiply(sk_c5,sk_c11) = sk_c10 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 8.57/8.85 65 multiply(sk_c10,sk_c12) = sk_c11 | multiply(sk_c6,sk_c9) = sk_c12 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 8.57/8.85 66 multiply(sk_c10,sk_c12) = sk_c11 | multiply(sk_c9,sk_c11) = sk_c12 # label(prove_this_47) # label(negated_conjecture). [assumption].
% 8.57/8.85 73 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 8.57/8.85 74 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(C,sk_c10) != sk_c12 | inverse(C) != sk_c10 | multiply(D,sk_c12) != sk_c11 | inverse(D) != sk_c12 | multiply(E,sk_c11) != sk_c10 | inverse(E) != sk_c11 | multiply(F,V6) != sk_c12 | inverse(F) != V6 | multiply(V6,sk_c11) != sk_c12 | inverse(V7) != V8 | inverse(V8) != V6 | multiply(V7,V6) != V8 # label(prove_this_71) # label(negated_conjecture). [assumption].
% 8.57/8.85 76 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(C,sk_c10) != sk_c12 | inverse(C) != sk_c10 | multiply(D,sk_c11) != sk_c10 | inverse(D) != sk_c11 | multiply(E,F) != sk_c12 | inverse(E) != F | multiply(F,sk_c11) != sk_c12 | inverse(V6) != V7 | inverse(V7) != F | multiply(V6,F) != V7. [factor(74,a,h),merge(h)].
% 8.57/8.85 84 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(C,sk_c10) != sk_c12 | inverse(C) != sk_c10 | multiply(D,E) != sk_c12 | inverse(D) != E | multiply(E,sk_c11) != sk_c12 | inverse(F) != V6 | inverse(V6) != E | multiply(F,E) != V6. [factor(76,c,h),merge(h)].
% 8.57/8.85 317 inverse(sk_c1) = sk_c12 | multiply(sk_c9,sk_c6) = identity. [para(5(b,1),2(a,1,1))].
% 8.57/8.85 321 inverse(sk_c2) = sk_c11 | multiply(sk_c11,sk_c5) = identity. [para(9(b,1),2(a,1,1))].
% 8.57/8.85 330 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),73(a,1,1)),rewrite([1(2)]),flip(a)].
% 8.57/8.85 353 inverse(sk_c5) = sk_c11 | multiply(sk_c2,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(29(a,1),73(a,1,1)),flip(b)].
% 8.57/8.85 363 inverse(sk_c2) = sk_c11 | multiply(sk_c5,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(34(b,1),73(a,1,1)),flip(b)].
% 8.57/8.85 551 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(C,sk_c10) != sk_c12 | inverse(C) != sk_c10 | multiply(D,E) != sk_c12 | inverse(D) != E | multiply(E,sk_c11) != sk_c12 | inverse(inverse(E)) != identity | inverse(identity) != E. [resolve(84,m,2,a)].
% 8.57/8.85 1604 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(C,sk_c10) != sk_c12 | inverse(C) != sk_c10 | multiply(A,sk_c12) != sk_c12 | multiply(sk_c12,sk_c11) != sk_c12 | inverse(inverse(sk_c12)) != identity | inverse(identity) != sk_c12. [factor(551,b,i)].
% 8.57/8.85 4993 sk_c12 != sk_c11 | inverse(identity) != sk_c12 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(B,sk_c10) != sk_c12 | inverse(B) != sk_c10 | multiply(sk_c12,sk_c11) != sk_c12 | inverse(inverse(sk_c12)) != identity. [factor(1604,b,k),rewrite([1(3),1(29)]),xx(h)].
% 8.57/8.85 11572 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),330(a,1,2))].
% 8.57/8.85 11607 inverse(sk_c4) = sk_c12 | multiply(inverse(sk_c10),sk_c11) = sk_c12. [para(38(a,1),330(a,1,2))].
% 8.57/8.85 11609 inverse(sk_c6) = sk_c9 | multiply(inverse(sk_c10),sk_c11) = sk_c12. [para(40(a,1),330(a,1,2))].
% 8.57/8.85 11675 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(330(a,1),330(a,1,2))].
% 8.57/8.85 11748 multiply(A,identity) = A. [back_rewrite(11572),rewrite([11675(4)])].
% 8.57/8.85 11873 inverse(identity) = identity. [para(11748(a,1),2(a,1))].
% 8.57/8.85 12329 sk_c12 != sk_c11 | identity != sk_c12 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(B,sk_c10) != sk_c12 | inverse(B) != sk_c10 | multiply(sk_c12,sk_c11) != sk_c12 | inverse(inverse(sk_c12)) != identity. [back_rewrite(4993),rewrite([11873(5)])].
% 8.57/8.85 12480 inverse(sk_c1) = sk_c12 | inverse(sk_c9) = sk_c6. [para(317(b,1),330(a,1,2)),rewrite([11748(8)])].
% 8.57/8.85 12534 inverse(sk_c2) = sk_c11 | inverse(sk_c11) = sk_c5. [para(321(b,1),330(a,1,2)),rewrite([11748(8)])].
% 8.57/8.85 12595 inverse(sk_c11) = sk_c5 | multiply(sk_c11,sk_c2) = identity. [para(12534(a,1),2(a,1,1))].
% 8.57/8.85 12811 multiply(A,inverse(A)) = identity. [para(11675(a,1),2(a,1))].
% 8.57/8.85 13366 inverse(inverse(A)) = A. [para(11675(a,1),11748(a,1)),rewrite([11748(2)]),flip(a)].
% 8.57/8.85 13499 sk_c12 != sk_c11 | identity != sk_c12 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(B,sk_c10) != sk_c12 | inverse(B) != sk_c10 | multiply(sk_c12,sk_c11) != sk_c12. [back_rewrite(12329),rewrite([13366(33)]),flip(i),merge(i)].
% 8.57/8.85 13879 inverse(sk_c9) = sk_c6 | inverse(sk_c12) = sk_c1. [para(12480(a,1),13366(a,1,1))].
% 8.57/8.85 13940 inverse(sk_c1) = sk_c12 | multiply(sk_c4,sk_c12) = identity. [para(3(b,1),12811(a,1,2))].
% 8.57/8.85 14203 inverse(sk_c12) = sk_c1 | multiply(sk_c6,sk_c9) = identity. [para(13879(a,1),2(a,1,1))].
% 8.57/8.85 16101 inverse(sk_c1) = sk_c12 | identity = sk_c11. [para(13940(b,1),23(b,1)),merge(b)].
% 8.57/8.85 16115 identity = sk_c11 | multiply(sk_c1,sk_c12) = identity. [para(16101(a,1),12811(a,1,2))].
% 8.57/8.85 16216 identity = sk_c11 | inverse(sk_c4) = sk_c12. [para(16115(b,1),18(a,1)),merge(b)].
% 8.57/8.85 16229 identity = sk_c11 | multiply(sk_c4,sk_c12) = identity. [para(16216(b,1),12811(a,1,2))].
% 8.57/8.85 16987 inverse(sk_c5) = sk_c11 | multiply(sk_c10,inverse(sk_c11)) = sk_c2. [para(12811(a,1),353(b,1,2)),rewrite([11748(7)]),flip(b)].
% 8.57/8.85 17226 sk_c12 != sk_c11 | identity != sk_c12 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(sk_c12,sk_c11) != sk_c12. [para(2(a,1),13499(f,1)),rewrite([13366(24)]),xx(g),merge(f)].
% 8.57/8.85 17253 sk_c12 != sk_c11 | identity != sk_c12 | multiply(A,multiply(B,sk_c11)) != sk_c10 | inverse(multiply(A,B)) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(sk_c12,sk_c11) != sk_c12. [para(73(a,1),17226(c,1))].
% 8.57/8.85 17351 sk_c12 != sk_c11 | identity != sk_c12 | sk_c10 != A | inverse(multiply(A,inverse(sk_c11))) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(sk_c12,sk_c11) != sk_c12. [para(2(a,1),17253(c,1,2)),rewrite([11748(8)]),flip(c)].
% 8.57/8.85 17464 identity = sk_c11 | multiply(sk_c1,sk_c12) = sk_c11. [para(16229(b,1),53(b,1)),merge(c)].
% 8.57/8.85 21006 inverse(sk_c2) = sk_c11 | multiply(sk_c10,inverse(sk_c11)) = sk_c5. [para(12811(a,1),363(b,1,2)),rewrite([11748(7)]),flip(b)].
% 8.57/8.85 23861 identity = sk_c11. [para(17464(b,1),16115(b,1)),flip(c),merge(b),merge(c)].
% 8.57/8.85 24436 sk_c12 != sk_c11 | sk_c10 != A | inverse(multiply(A,inverse(sk_c11))) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11 | multiply(sk_c12,sk_c11) != sk_c12. [back_rewrite(17351),rewrite([23861(4)]),flip(b),merge(b)].
% 8.57/8.85 25055 inverse(sk_c12) = sk_c1 | multiply(sk_c6,sk_c9) = sk_c11. [back_rewrite(14203),rewrite([23861(8)])].
% 8.57/8.85 25282 multiply(A,inverse(A)) = sk_c11. [back_rewrite(12811),rewrite([23861(3)])].
% 8.57/8.85 25291 inverse(sk_c11) = sk_c5 | multiply(sk_c11,sk_c2) = sk_c11. [back_rewrite(12595),rewrite([23861(8)])].
% 8.57/8.85 25337 inverse(sk_c11) = sk_c11. [back_rewrite(11873),rewrite([23861(1),23861(3)])].
% 8.57/8.85 25338 multiply(A,sk_c11) = A. [back_rewrite(11748),rewrite([23861(1)])].
% 8.57/8.85 25355 multiply(sk_c11,A) = A. [back_rewrite(1),rewrite([23861(1)])].
% 8.57/8.85 25409 sk_c5 = sk_c11 | sk_c2 = sk_c11. [back_rewrite(25291),rewrite([25337(2),25355(6)]),flip(a)].
% 8.57/8.85 25573 sk_c12 != sk_c11 | sk_c10 != A | inverse(A) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11. [back_rewrite(24436),rewrite([25337(7),25338(7),25338(16)]),xx(e)].
% 8.57/8.85 25687 inverse(sk_c2) = sk_c11 | sk_c5 = sk_c10. [back_rewrite(21006),rewrite([25337(7),25338(7)]),flip(b)].
% 8.57/8.85 25693 inverse(sk_c5) = sk_c11 | sk_c2 = sk_c10. [back_rewrite(16987),rewrite([25337(7),25338(7)]),flip(b)].
% 8.57/8.85 26292 inverse(sk_c6) = sk_c9 | inverse(sk_c10) = sk_c12. [back_rewrite(11609),rewrite([25338(8)])].
% 8.57/8.85 26294 inverse(sk_c4) = sk_c12 | inverse(sk_c10) = sk_c12. [back_rewrite(11607),rewrite([25338(8)])].
% 8.57/8.85 28730 multiply(sk_c10,sk_c12) = sk_c11 | sk_c9 = sk_c12. [back_rewrite(66),rewrite([25338(8)])].
% 8.57/8.85 28735 sk_c2 = sk_c10 | sk_c5 = sk_c10. [back_rewrite(59),rewrite([25338(3),25338(6)])].
% 8.57/8.85 29507 sk_c12 != sk_c11 | inverse(sk_c10) != sk_c11 | multiply(sk_c10,sk_c12) != sk_c11. [resolve(25573,b,25355,a(flip)),rewrite([25355(6)])].
% 8.57/8.85 29672 sk_c5 = sk_c10 | sk_c2 = sk_c11. [para(25687(a,1),13366(a,1,1)),rewrite([25337(5)]),flip(b)].
% 8.57/8.85 29699 sk_c2 = sk_c11 | sk_c10 = sk_c11. [para(29672(a,1),25409(a,1)),merge(c)].
% 8.57/8.85 29795 sk_c2 = sk_c10 | sk_c5 = sk_c11. [para(25693(a,1),13366(a,1,1)),rewrite([25337(5)]),flip(b)].
% 8.57/8.85 29797 sk_c2 = sk_c10 | sk_c10 = sk_c11. [para(29795(b,1),28735(b,1)),flip(c),merge(b)].
% 8.57/8.85 29822 sk_c10 = sk_c11. [para(29797(a,1),29699(a,1)),merge(b),merge(c)].
% 8.57/8.85 29948 sk_c12 != sk_c11. [back_rewrite(29507),rewrite([29822(4),25337(5),29822(7),25355(9)]),xx(b),merge(b)].
% 8.57/8.85 29974 sk_c9 = sk_c12. [back_rewrite(28730),rewrite([29822(1),25355(3)]),unit_del(a,29948)].
% 8.57/8.85 30046 inverse(sk_c4) = sk_c12. [back_rewrite(26294),rewrite([29822(5),25337(6)]),flip(b),unit_del(b,29948)].
% 8.57/8.85 30047 inverse(sk_c6) = sk_c12. [back_rewrite(26292),rewrite([29974(3),29822(5),25337(6)]),flip(b),unit_del(b,29948)].
% 8.57/8.85 30120 multiply(sk_c6,sk_c12) = sk_c12. [back_rewrite(65),rewrite([29822(1),25355(3),29974(5)]),unit_del(a,29948)].
% 8.57/8.85 30171 inverse(sk_c12) = sk_c1. [back_rewrite(25055),rewrite([29974(6),30120(7)]),unit_del(b,29948)].
% 8.57/8.85 30201 sk_c4 = sk_c1. [para(30046(a,1),13366(a,1,1)),rewrite([30171(2)]),flip(a)].
% 8.57/8.85 30203 multiply(sk_c1,sk_c12) = sk_c11. [para(30046(a,1),25282(a,1,2)),rewrite([30201(1)])].
% 8.57/8.85 30207 sk_c6 = sk_c1. [para(30047(a,1),13366(a,1,1)),rewrite([30171(2)]),flip(a)].
% 8.57/8.85 30208 $F. [back_rewrite(30120),rewrite([30207(1),30203(3)]),flip(a),unit_del(a,29948)].
% 8.57/8.85
% 8.57/8.85 % SZS output end Refutation
% 8.57/8.85 ============================== end of proof ==========================
% 8.57/8.85
% 8.57/8.85 ============================== STATISTICS ============================
% 8.57/8.85
% 8.57/8.85 Given=748. Generated=120256. Kept=30207. proofs=1.
% 8.57/8.85 Usable=19. Sos=20. Demods=37. Limbo=1, Disabled=30241. Hints=0.
% 8.57/8.85 Megabytes=38.08.
% 8.57/8.85 User_CPU=7.79, System_CPU=0.10, Wall_clock=8.
% 8.57/8.85
% 8.57/8.85 ============================== end of statistics =====================
% 8.57/8.85
% 8.57/8.85 ============================== end of search =========================
% 8.57/8.85
% 8.57/8.85 THEOREM PROVED
% 8.57/8.85 % SZS status Unsatisfiable
% 8.57/8.85
% 8.57/8.85 Exiting with 1 proof.
% 8.57/8.85
% 8.57/8.85 Process 18686 exit (max_proofs) Mon Jun 13 19:41:48 2022
% 8.57/8.85 Prover9 interrupted
%------------------------------------------------------------------------------