TSTP Solution File: GRP373-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP373-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 11:18:49 EDT 2022
% Result : Unsatisfiable 17.25s 17.58s
% Output : Refutation 17.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP373-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 07:51:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 11.60/11.96 ============================== Prover9 ===============================
% 11.60/11.96 Prover9 (32) version 2009-11A, November 2009.
% 11.60/11.96 Process 18451 was started by sandbox on n014.cluster.edu,
% 11.60/11.96 Tue Jun 14 07:51:37 2022
% 11.60/11.96 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18297_n014.cluster.edu".
% 11.60/11.96 ============================== end of head ===========================
% 11.60/11.96
% 11.60/11.96 ============================== INPUT =================================
% 11.60/11.96
% 11.60/11.96 % Reading from file /tmp/Prover9_18297_n014.cluster.edu
% 11.60/11.96
% 11.60/11.96 set(prolog_style_variables).
% 11.60/11.96 set(auto2).
% 11.60/11.96 % set(auto2) -> set(auto).
% 11.60/11.96 % set(auto) -> set(auto_inference).
% 11.60/11.96 % set(auto) -> set(auto_setup).
% 11.60/11.96 % set(auto_setup) -> set(predicate_elim).
% 11.60/11.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 11.60/11.96 % set(auto) -> set(auto_limits).
% 11.60/11.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 11.60/11.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 11.60/11.96 % set(auto) -> set(auto_denials).
% 11.60/11.96 % set(auto) -> set(auto_process).
% 11.60/11.96 % set(auto2) -> assign(new_constants, 1).
% 11.60/11.96 % set(auto2) -> assign(fold_denial_max, 3).
% 11.60/11.96 % set(auto2) -> assign(max_weight, "200.000").
% 11.60/11.96 % set(auto2) -> assign(max_hours, 1).
% 11.60/11.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 11.60/11.96 % set(auto2) -> assign(max_seconds, 0).
% 11.60/11.96 % set(auto2) -> assign(max_minutes, 5).
% 11.60/11.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 11.60/11.96 % set(auto2) -> set(sort_initial_sos).
% 11.60/11.96 % set(auto2) -> assign(sos_limit, -1).
% 11.60/11.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 11.60/11.96 % set(auto2) -> assign(max_megs, 400).
% 11.60/11.96 % set(auto2) -> assign(stats, some).
% 11.60/11.96 % set(auto2) -> clear(echo_input).
% 11.60/11.96 % set(auto2) -> set(quiet).
% 11.60/11.96 % set(auto2) -> clear(print_initial_clauses).
% 11.60/11.96 % set(auto2) -> clear(print_given).
% 11.60/11.96 assign(lrs_ticks,-1).
% 11.60/11.96 assign(sos_limit,10000).
% 11.60/11.96 assign(order,kbo).
% 11.60/11.96 set(lex_order_vars).
% 11.60/11.96 clear(print_given).
% 11.60/11.96
% 11.60/11.96 % formulas(sos). % not echoed (64 formulas)
% 11.60/11.96
% 11.60/11.96 ============================== end of input ==========================
% 11.60/11.96
% 11.60/11.96 % From the command line: assign(max_seconds, 300).
% 11.60/11.96
% 11.60/11.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 11.60/11.96
% 11.60/11.96 % Formulas that are not ordinary clauses:
% 11.60/11.96
% 11.60/11.96 ============================== end of process non-clausal formulas ===
% 11.60/11.96
% 11.60/11.96 ============================== PROCESS INITIAL CLAUSES ===============
% 11.60/11.96
% 11.60/11.96 ============================== PREDICATE ELIMINATION =================
% 11.60/11.96
% 11.60/11.96 ============================== end predicate elimination =============
% 11.60/11.96
% 11.60/11.96 Auto_denials: (non-Horn, no changes).
% 11.60/11.96
% 11.60/11.96 Term ordering decisions:
% 11.60/11.96
% 11.60/11.96 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 11.60/11.96 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c9=1. sk_c8=1. sk_c1=1. sk_c2=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 11.60/11.96
% 11.60/11.96 ============================== end of process initial clauses ========
% 11.60/11.96
% 11.60/11.96 ============================== CLAUSES FOR SEARCH ====================
% 11.60/11.96
% 11.60/11.96 ============================== end of clauses for search =============
% 11.60/11.96
% 11.60/11.96 ============================== SEARCH ================================
% 11.60/11.96
% 11.60/11.96 % Starting search at 0.29 seconds.
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=10738, wt=49.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=10750, wt=48.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=10874, wt=46.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=10875, wt=45.000
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=50.000, iters=3696
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=49.000, iters=3596
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=23905, wt=44.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=27588, wt=43.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=27596, wt=42.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=27827, wt=41.000
% 11.60/11.96
% 11.60/11.96 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 26 (0.00 of 9.40 sec).
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=28168, wt=40.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=28381, wt=38.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=28412, wt=37.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=28423, wt=36.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=28541, wt=35.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=31101, wt=28.000
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=48.000, iters=3469
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=31432, wt=17.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=31433, wt=15.000
% 11.60/11.96
% 11.60/11.96 Low Water (displace): id=31476, wt=14.000
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=47.000, iters=3359
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=46.000, iters=3445
% 11.60/11.96
% 11.60/11.96 Low Water (keep): wt=45.000, iters=3409
% 17.25/17.58
% 17.25/17.58 Low Water (displace): id=32223, wt=12.000
% 17.25/17.58
% 17.25/17.58 Low Water (displace): id=33585, wt=11.000
% 17.25/17.58
% 17.25/17.58 Low Water (displace): id=34322, wt=10.000
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=43.000, iters=3453
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=42.000, iters=3407
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=41.000, iters=3577
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=40.000, iters=3382
% 17.25/17.58
% 17.25/17.58 Low Water (displace): id=38726, wt=9.000
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=39.000, iters=3405
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=38.000, iters=3386
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=37.000, iters=3379
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=36.000, iters=3345
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=35.000, iters=3334
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=33.000, iters=3348
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=32.000, iters=3348
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=31.000, iters=3358
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=30.000, iters=3337
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=29.000, iters=3333
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=28.000, iters=3345
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=27.000, iters=3335
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=26.000, iters=3334
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=25.000, iters=3407
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=24.000, iters=3349
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=22.000, iters=3384
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=18.000, iters=3384
% 17.25/17.58
% 17.25/17.58 Low Water (keep): wt=17.000, iters=3358
% 17.25/17.58
% 17.25/17.58 ============================== PROOF =================================
% 17.25/17.58 % SZS status Unsatisfiable
% 17.25/17.58 % SZS output start Refutation
% 17.25/17.58
% 17.25/17.58 % Proof 1 at 16.38 (+ 0.18) seconds.
% 17.25/17.58 % Length of proof is 70.
% 17.25/17.58 % Level of proof is 26.
% 17.25/17.58 % Maximum clause weight is 72.000.
% 17.25/17.58 % Given clauses 1601.
% 17.25/17.58
% 17.25/17.58 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 17.25/17.58 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 17.25/17.58 5 inverse(sk_c11) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 17.25/17.58 8 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 17.25/17.58 20 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 17.25/17.58 23 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 17.25/17.58 28 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 17.25/17.58 34 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 17.25/17.58 43 inverse(sk_c2) = sk_c9 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_51) # label(negated_conjecture). [assumption].
% 17.25/17.58 48 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 17.25/17.58 54 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 17.25/17.58 58 multiply(sk_c2,sk_c9) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 17.25/17.58 63 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 17.25/17.58 64 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(D,sk_c10) != sk_c9 | inverse(D) != sk_c10 | multiply(E,F) != sk_c11 | inverse(E) != F | multiply(F,sk_c10) != sk_c11 | inverse(V6) != V7 | inverse(V7) != F | multiply(V6,F) != V7 # label(prove_this_61) # label(negated_conjecture). [assumption].
% 17.25/17.58 65 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(D,E) != sk_c11 | inverse(D) != E | multiply(E,sk_c10) != sk_c11 | inverse(F) != V6 | inverse(V6) != E | multiply(F,E) != V6. [factor(64,a,j)].
% 17.25/17.58 74 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F. [factor(65,b,g),merge(g)].
% 17.25/17.58 121 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | inverse(sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(D) != E | inverse(E) != C | multiply(D,C) != E. [factor(74,d,e)].
% 17.25/17.58 281 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | inverse(sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(C) != C | multiply(C,C) != C. [factor(121,j,k)].
% 17.25/17.58 506 inverse(sk_c11) = sk_c10 | multiply(sk_c8,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 17.25/17.58 519 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),63(a,1,1)),rewrite([1(2)]),flip(a)].
% 17.25/17.58 553 inverse(sk_c4) = sk_c10 | multiply(A,multiply(sk_c11,sk_c9)) = multiply(A,sk_c10). [para(34(a,1),63(a,2,2)),rewrite([63(8)])].
% 17.25/17.58 26281 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),519(a,1,2))].
% 17.25/17.58 26405 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(519(a,1),519(a,1,2))].
% 17.25/17.58 26623 multiply(A,identity) = A. [back_rewrite(26281),rewrite([26405(4)])].
% 17.25/17.58 26854 inverse(identity) = identity. [para(26623(a,1),2(a,1))].
% 17.25/17.58 26875 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | inverse(sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c9 | sk_c11 != B | inverse(B) != identity | sk_c11 != sk_c10. [para(26623(a,1),281(g,1)),rewrite([1(33),26854(35),26623(39)]),flip(g),flip(i),xx(j),xx(k)].
% 17.25/17.58 27467 inverse(sk_c11) = sk_c10 | inverse(sk_c8) = sk_c5. [para(506(b,1),519(a,1,2)),rewrite([26623(8)])].
% 17.25/17.58 27468 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = identity. [para(27467(b,1),2(a,1,1))].
% 17.25/17.58 28642 multiply(A,inverse(A)) = identity. [para(26405(a,1),2(a,1))].
% 17.25/17.58 29588 inverse(inverse(A)) = A. [para(26405(a,1),26623(a,1)),rewrite([26623(2)]),flip(a)].
% 17.25/17.58 30032 inverse(sk_c11) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | inverse(sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c9 | inverse(B) != sk_c11 | identity != B | sk_c11 != sk_c10. [para(29588(a,1),26875(h,1)),flip(g),flip(h)].
% 17.25/17.58 30266 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(8(b,1),28642(a,1,2))].
% 17.25/17.58 31664 inverse(sk_c11) = sk_c10 | identity = sk_c11. [para(27468(b,1),20(b,1)),merge(b)].
% 17.25/17.58 31670 identity = sk_c11 | inverse(sk_c10) = sk_c11. [para(31664(a,1),29588(a,1,1))].
% 17.25/17.58 32191 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(30266(b,1),28(b,1)),merge(b)].
% 17.25/17.58 32197 identity = sk_c10 | inverse(sk_c11) = sk_c1. [para(32191(a,1),29588(a,1,1))].
% 17.25/17.58 32198 identity = sk_c10 | multiply(sk_c1,sk_c11) = identity. [para(32191(a,1),28642(a,1,2))].
% 17.25/17.58 32679 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(32198(b,1),23(a,1)),merge(b)].
% 17.25/17.58 32688 identity = sk_c10 | inverse(sk_c11) = sk_c3. [para(32679(b,1),29588(a,1,1))].
% 17.25/17.58 32689 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(32679(b,1),28642(a,1,2))].
% 17.25/17.58 32777 identity = sk_c10 | sk_c3 = sk_c1. [para(32688(b,1),32197(b,1)),merge(b)].
% 17.25/17.58 33080 sk_c3 = sk_c1 | inverse(sk_c10) = identity. [para(32777(a,1),26854(a,1,1))].
% 17.25/17.58 33844 sk_c3 = sk_c1 | identity = sk_c11. [para(33080(b,1),31670(b,1)),merge(c)].
% 17.25/17.58 33891 sk_c3 = sk_c1 | sk_c11 = sk_c10. [para(33844(b,1),32777(a,1)),merge(c)].
% 17.25/17.58 33899 sk_c11 = sk_c10 | multiply(sk_c1,sk_c11) = sk_c10. [para(33891(a,1),48(b,1,1)),merge(c)].
% 17.25/17.58 35362 inverse(sk_c4) = sk_c10 | multiply(inverse(sk_c10),multiply(sk_c11,sk_c9)) = identity. [para(2(a,1),553(b,2))].
% 17.25/17.58 39288 identity = sk_c10 | inverse(sk_c2) = sk_c9. [para(32689(b,1),43(b,1)),merge(c)].
% 17.25/17.58 39291 identity = sk_c10 | multiply(sk_c2,sk_c9) = sk_c10. [para(32689(b,1),58(b,1)),merge(c)].
% 17.25/17.58 39307 identity = sk_c10 | multiply(sk_c2,sk_c9) = identity. [para(39288(b,1),28642(a,1,2))].
% 17.25/17.58 42593 sk_c11 = sk_c10 | identity = sk_c10. [para(33899(b,1),32198(b,1)),flip(c),merge(c)].
% 17.25/17.58 42669 sk_c11 = sk_c10 | inverse(sk_c10) = identity. [para(42593(b,1),26854(a,1,1))].
% 17.25/17.58 42686 sk_c11 = sk_c10 | identity = sk_c11. [para(42669(b,1),31670(b,1)),merge(c)].
% 17.25/17.58 42706 sk_c11 = sk_c10. [para(42686(b,1),42593(b,1)),merge(b),merge(c)].
% 17.25/17.58 43601 inverse(sk_c4) = sk_c10 | identity = sk_c9. [back_rewrite(35362),rewrite([42706(7),519(10)]),flip(b)].
% 17.25/17.58 44495 inverse(sk_c10) != sk_c10 | multiply(A,sk_c10) != sk_c10 | inverse(A) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | inverse(B) != sk_c10 | identity != B. [back_rewrite(30032),rewrite([42706(1),42706(5),42706(10),42706(12),42706(17),42706(21),42706(27),42706(31)]),xx(i)].
% 17.25/17.58 45938 multiply(sk_c10,sk_c9) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9. [back_rewrite(54),rewrite([42706(1)])].
% 17.25/17.58 46764 identity = sk_c9 | inverse(sk_c10) = sk_c4. [para(43601(a,1),29588(a,1,1))].
% 17.25/17.58 48357 inverse(sk_c10) != sk_c10 | multiply(A,multiply(B,sk_c10)) != sk_c10 | inverse(multiply(A,B)) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | inverse(C) != sk_c10 | identity != C. [para(63(a,1),44495(b,1))].
% 17.25/17.58 49805 inverse(sk_c10) != sk_c10 | sk_c10 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | inverse(B) != sk_c10 | identity != B. [para(2(a,1),48357(b,1,2)),rewrite([26623(6)]),flip(b)].
% 17.25/17.58 49808 inverse(sk_c10) != sk_c10 | sk_c10 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | sk_c10 != B | inverse(B) != identity. [para(29588(a,1),49805(g,1)),flip(g),flip(h)].
% 17.25/17.58 49810 inverse(sk_c10) != sk_c10 | sk_c10 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | inverse(A) != identity. [factor(49808,b,g)].
% 17.25/17.58 50115 identity = sk_c10. [para(39307(b,1),39291(b,1)),merge(b),merge(c)].
% 17.25/17.58 50140 inverse(sk_c10) != sk_c10 | sk_c10 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c10 | inverse(sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c9 | inverse(A) != sk_c10. [back_rewrite(49810),rewrite([50115(28)])].
% 17.25/17.58 50456 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c4. [back_rewrite(46764),rewrite([50115(1)]),flip(a)].
% 17.25/17.58 50765 inverse(sk_c10) = sk_c10. [back_rewrite(26854),rewrite([50115(1),50115(3)])].
% 17.25/17.58 50766 multiply(A,sk_c10) = A. [back_rewrite(26623),rewrite([50115(1)])].
% 17.25/17.58 50772 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([50115(1)])].
% 17.25/17.58 50776 sk_c9 != sk_c10. [factor(50140,a,g),rewrite([50765(2),50765(9),50766(9),50765(8),50772(12),50765(14),50766(18)]),flip(e),flip(f),xx(a),xx(b),xx(c),merge(b),merge(c)].
% 17.25/17.58 50783 sk_c4 = sk_c10. [back_rewrite(50456),rewrite([50765(5)]),flip(b),unit_del(a,50776)].
% 17.25/17.58 50811 $F. [back_rewrite(45938),rewrite([50772(3),50783(4),50766(6)]),flip(b),merge(b),unit_del(a,50776)].
% 17.25/17.58
% 17.25/17.58 % SZS output end Refutation
% 17.25/17.58 ============================== end of proof ==========================
% 17.25/17.58
% 17.25/17.58 ============================== STATISTICS ============================
% 17.25/17.58
% 17.25/17.58 Given=1601. Generated=282965. Kept=50810. proofs=1.
% 17.25/17.58 Usable=243. Sos=2025. Demods=27. Limbo=45, Disabled=48561. Hints=0.
% 17.25/17.58 Megabytes=64.37.
% 17.25/17.58 User_CPU=16.38, System_CPU=0.18, Wall_clock=17.
% 17.25/17.58
% 17.25/17.58 ============================== end of statistics =====================
% 17.25/17.58
% 17.25/17.58 ============================== end of search =========================
% 17.25/17.58
% 17.25/17.58 THEOREM PROVED
% 17.25/17.58 % SZS status Unsatisfiable
% 17.25/17.58
% 17.25/17.58 Exiting with 1 proof.
% 17.25/17.58
% 17.25/17.58 Process 18451 exit (max_proofs) Tue Jun 14 07:51:54 2022
% 17.25/17.58 Prover9 interrupted
%------------------------------------------------------------------------------