TSTP Solution File: GRP377-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP377-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 11:18:50 EDT 2022
% Result : Unsatisfiable 9.52s 9.81s
% Output : Refutation 9.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP377-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.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 07:58:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.50/8.79 ============================== Prover9 ===============================
% 8.50/8.79 Prover9 (32) version 2009-11A, November 2009.
% 8.50/8.79 Process 11282 was started by sandbox2 on n007.cluster.edu,
% 8.50/8.79 Mon Jun 13 07:58:09 2022
% 8.50/8.79 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11129_n007.cluster.edu".
% 8.50/8.79 ============================== end of head ===========================
% 8.50/8.79
% 8.50/8.79 ============================== INPUT =================================
% 8.50/8.79
% 8.50/8.79 % Reading from file /tmp/Prover9_11129_n007.cluster.edu
% 8.50/8.79
% 8.50/8.79 set(prolog_style_variables).
% 8.50/8.79 set(auto2).
% 8.50/8.79 % set(auto2) -> set(auto).
% 8.50/8.79 % set(auto) -> set(auto_inference).
% 8.50/8.79 % set(auto) -> set(auto_setup).
% 8.50/8.79 % set(auto_setup) -> set(predicate_elim).
% 8.50/8.79 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.50/8.79 % set(auto) -> set(auto_limits).
% 8.50/8.79 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.50/8.79 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.50/8.79 % set(auto) -> set(auto_denials).
% 8.50/8.79 % set(auto) -> set(auto_process).
% 8.50/8.79 % set(auto2) -> assign(new_constants, 1).
% 8.50/8.79 % set(auto2) -> assign(fold_denial_max, 3).
% 8.50/8.79 % set(auto2) -> assign(max_weight, "200.000").
% 8.50/8.79 % set(auto2) -> assign(max_hours, 1).
% 8.50/8.79 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.50/8.79 % set(auto2) -> assign(max_seconds, 0).
% 8.50/8.79 % set(auto2) -> assign(max_minutes, 5).
% 8.50/8.79 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.50/8.79 % set(auto2) -> set(sort_initial_sos).
% 8.50/8.79 % set(auto2) -> assign(sos_limit, -1).
% 8.50/8.79 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.50/8.79 % set(auto2) -> assign(max_megs, 400).
% 8.50/8.79 % set(auto2) -> assign(stats, some).
% 8.50/8.79 % set(auto2) -> clear(echo_input).
% 8.50/8.79 % set(auto2) -> set(quiet).
% 8.50/8.79 % set(auto2) -> clear(print_initial_clauses).
% 8.50/8.79 % set(auto2) -> clear(print_given).
% 8.50/8.79 assign(lrs_ticks,-1).
% 8.50/8.79 assign(sos_limit,10000).
% 8.50/8.79 assign(order,kbo).
% 8.50/8.79 set(lex_order_vars).
% 8.50/8.79 clear(print_given).
% 8.50/8.79
% 8.50/8.79 % formulas(sos). % not echoed (44 formulas)
% 8.50/8.79
% 8.50/8.79 ============================== end of input ==========================
% 8.50/8.79
% 8.50/8.79 % From the command line: assign(max_seconds, 300).
% 8.50/8.79
% 8.50/8.79 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.50/8.79
% 8.50/8.79 % Formulas that are not ordinary clauses:
% 8.50/8.79
% 8.50/8.79 ============================== end of process non-clausal formulas ===
% 8.50/8.79
% 8.50/8.79 ============================== PROCESS INITIAL CLAUSES ===============
% 8.50/8.79
% 8.50/8.79 ============================== PREDICATE ELIMINATION =================
% 8.50/8.79
% 8.50/8.79 ============================== end predicate elimination =============
% 8.50/8.79
% 8.50/8.79 Auto_denials: (non-Horn, no changes).
% 8.50/8.79
% 8.50/8.79 Term ordering decisions:
% 8.50/8.79
% 8.50/8.79 % Assigning unary symbol inverse kb_weight 0 and highest precedence (14).
% 8.50/8.79 Function symbol KB weights: sk_c10=1. sk_c9=1. sk_c1=1. sk_c7=1. sk_c8=1. sk_c5=1. sk_c2=1. sk_c3=1. sk_c4=1. sk_c6=1. identity=1. multiply=1. inverse=0.
% 8.50/8.79
% 8.50/8.79 ============================== end of process initial clauses ========
% 8.50/8.79
% 8.50/8.79 ============================== CLAUSES FOR SEARCH ====================
% 8.50/8.79
% 8.50/8.79 ============================== end of clauses for search =============
% 8.50/8.79
% 8.50/8.79 ============================== SEARCH ================================
% 8.50/8.79
% 8.50/8.79 % Starting search at 0.12 seconds.
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=50.000, iters=4045
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=49.000, iters=3956
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=48.000, iters=3582
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=47.000, iters=3337
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=46.000, iters=3345
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=45.000, iters=3364
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=44.000, iters=3336
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=43.000, iters=3496
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=40.000, iters=3336
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=39.000, iters=3334
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=38.000, iters=3340
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=37.000, iters=3340
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=36.000, iters=3354
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=35.000, iters=3346
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=34.000, iters=3544
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=33.000, iters=3336
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=32.000, iters=3343
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=14024, wt=29.000
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=14039, wt=26.000
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=14094, wt=12.000
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=31.000, iters=3335
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=14539, wt=11.000
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=14855, wt=10.000
% 8.50/8.79
% 8.50/8.79 Low Water (displace): id=17105, wt=9.000
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=30.000, iters=3335
% 8.50/8.79
% 8.50/8.79 Low Water (keep): wt=29.000, iters=3345
% 9.52/9.81
% 9.52/9.81 Low Water (keep): wt=28.000, iters=3339
% 9.52/9.81
% 9.52/9.81 Low Water (keep): wt=27.000, iters=3336
% 9.52/9.81
% 9.52/9.81 Low Water (keep): wt=26.000, iters=3348
% 9.52/9.81
% 9.52/9.81 ============================== PROOF =================================
% 9.52/9.81 % SZS status Unsatisfiable
% 9.52/9.81 % SZS output start Refutation
% 9.52/9.81
% 9.52/9.81 % Proof 1 at 8.70 (+ 0.15) seconds.
% 9.52/9.81 % Length of proof is 72.
% 9.52/9.81 % Level of proof is 24.
% 9.52/9.81 % Maximum clause weight is 63.000.
% 9.52/9.81 % Given clauses 1430.
% 9.52/9.81
% 9.52/9.81 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 9.52/9.81 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 9.52/9.81 5 inverse(sk_c10) = sk_c9 | inverse(sk_c4) = sk_c7 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 9.52/9.81 8 inverse(sk_c1) = sk_c10 | inverse(sk_c2) = sk_c10 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 9.52/9.81 10 inverse(sk_c1) = sk_c10 | inverse(sk_c4) = sk_c7 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 9.52/9.81 15 inverse(sk_c10) = sk_c9 | multiply(sk_c4,sk_c7) = sk_c10 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 9.52/9.81 18 multiply(sk_c1,sk_c10) = sk_c9 | inverse(sk_c2) = sk_c10 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 9.52/9.81 23 inverse(sk_c1) = sk_c10 | multiply(sk_c2,sk_c10) = sk_c9 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 9.52/9.81 25 inverse(sk_c1) = sk_c10 | multiply(sk_c4,sk_c7) = sk_c10 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 9.52/9.81 29 multiply(sk_c8,sk_c9) = sk_c10 | inverse(sk_c3) = sk_c9 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 9.52/9.81 33 multiply(sk_c1,sk_c10) = sk_c9 | multiply(sk_c2,sk_c10) = sk_c9 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 9.52/9.81 39 multiply(sk_c8,sk_c9) = sk_c10 | multiply(sk_c3,sk_c9) = sk_c8 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 9.52/9.81 43 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 9.52/9.81 44 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(C,sk_c9) != sk_c8 | inverse(C) != sk_c9 | multiply(D,E) != sk_c10 | inverse(D) != E | multiply(E,sk_c9) != sk_c10 | inverse(F) != V6 | inverse(V6) != E | multiply(F,E) != V6 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 9.52/9.81 49 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c8 | inverse(B) != sk_c9 | multiply(C,D) != sk_c10 | inverse(C) != D | multiply(D,sk_c9) != sk_c10 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F. [factor(44,b,e),merge(e)].
% 9.52/9.81 286 inverse(sk_c10) = sk_c9 | multiply(sk_c7,sk_c4) = identity. [para(5(b,1),2(a,1,1))].
% 9.52/9.81 291 inverse(sk_c1) = sk_c10 | multiply(sk_c7,sk_c4) = identity. [para(10(b,1),2(a,1,1))].
% 9.52/9.81 294 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),43(a,1,1)),rewrite([1(2)]),flip(a)].
% 9.52/9.81 327 inverse(sk_c3) = sk_c9 | multiply(sk_c8,multiply(sk_c9,A)) = multiply(sk_c10,A). [para(29(a,1),43(a,1,1)),flip(b)].
% 9.52/9.81 347 multiply(sk_c8,sk_c9) = sk_c10 | multiply(sk_c3,multiply(sk_c9,A)) = multiply(sk_c8,A). [para(39(b,1),43(a,1,1)),flip(b)].
% 9.52/9.81 409 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | identity != sk_c8 | inverse(inverse(sk_c9)) != sk_c9 | multiply(B,C) != sk_c10 | inverse(B) != C | multiply(C,sk_c9) != sk_c10 | inverse(D) != E | inverse(E) != C | multiply(D,C) != E. [para(2(a,1),49(e,1))].
% 9.52/9.81 1011 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | identity != sk_c8 | inverse(inverse(sk_c9)) != sk_c9 | multiply(B,C) != sk_c10 | inverse(B) != C | multiply(C,sk_c9) != sk_c10 | inverse(sk_c9) != C | multiply(sk_c10,C) != sk_c9. [factor(409,a,j)].
% 9.52/9.81 3097 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | identity != sk_c8 | inverse(inverse(sk_c9)) != sk_c9 | multiply(sk_c9,B) != sk_c10 | inverse(sk_c9) != B | multiply(B,sk_c9) != sk_c10 | multiply(sk_c10,B) != sk_c9. [factor(1011,h,j)].
% 9.52/9.81 6521 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),294(a,1,2))].
% 9.52/9.81 6590 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(294(a,1),294(a,1,2))].
% 9.52/9.81 6644 multiply(A,identity) = A. [back_rewrite(6521),rewrite([6590(4)])].
% 9.52/9.81 6707 inverse(identity) = identity. [para(6644(a,1),2(a,1))].
% 9.52/9.81 7117 inverse(sk_c10) = sk_c9 | inverse(sk_c7) = sk_c4. [para(286(b,1),294(a,1,2)),rewrite([6644(8)])].
% 9.52/9.81 7118 inverse(sk_c10) = sk_c9 | multiply(sk_c4,sk_c7) = identity. [para(7117(b,1),2(a,1,1))].
% 9.52/9.81 7604 inverse(sk_c1) = sk_c10 | inverse(sk_c7) = sk_c4. [para(291(b,1),294(a,1,2)),rewrite([6644(8)])].
% 9.52/9.81 7629 inverse(sk_c1) = sk_c10 | multiply(sk_c4,sk_c7) = identity. [para(7604(b,1),2(a,1,1))].
% 9.52/9.81 8047 multiply(A,inverse(A)) = identity. [para(6590(a,1),2(a,1))].
% 9.52/9.81 8449 inverse(inverse(A)) = A. [para(6590(a,1),6644(a,1)),rewrite([6644(2)]),flip(a)].
% 9.52/9.81 8838 inverse(sk_c10) != sk_c9 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c9) != sk_c10 | identity != sk_c8 | multiply(sk_c9,B) != sk_c10 | inverse(sk_c9) != B | multiply(B,sk_c9) != sk_c10 | multiply(sk_c10,B) != sk_c9. [back_rewrite(3097),rewrite([8449(22)]),xx(f)].
% 9.52/9.81 9196 inverse(sk_c1) = sk_c10 | multiply(sk_c2,sk_c10) = identity. [para(8(b,1),8047(a,1,2))].
% 9.52/9.81 9502 inverse(sk_c10) = sk_c9 | identity = sk_c10. [para(7118(b,1),15(b,1)),merge(b)].
% 9.52/9.81 9508 identity = sk_c10 | inverse(sk_c9) = sk_c10. [para(9502(a,1),8449(a,1,1))].
% 9.52/9.81 9621 inverse(sk_c1) = sk_c10 | identity = sk_c10. [para(7629(b,1),25(b,1)),merge(b)].
% 9.52/9.81 9626 identity = sk_c10 | multiply(sk_c1,sk_c10) = identity. [para(9621(a,1),8047(a,1,2))].
% 9.52/9.81 13216 inverse(sk_c3) = sk_c9 | multiply(sk_c8,multiply(sk_c9,inverse(sk_c10))) = identity. [para(8047(a,1),327(b,2))].
% 9.52/9.81 14341 inverse(sk_c1) = sk_c10 | identity = sk_c9. [para(9196(b,1),23(b,1)),merge(b)].
% 9.52/9.81 14356 identity = sk_c9 | inverse(sk_c10) = sk_c1. [para(14341(a,1),8449(a,1,1))].
% 9.52/9.81 14357 identity = sk_c9 | multiply(sk_c1,sk_c10) = identity. [para(14341(a,1),8047(a,1,2))].
% 9.52/9.81 14420 identity = sk_c9 | inverse(sk_c2) = sk_c10. [para(14357(b,1),18(a,1)),merge(b)].
% 9.52/9.81 14435 identity = sk_c9 | inverse(sk_c10) = sk_c2. [para(14420(b,1),8449(a,1,1))].
% 9.52/9.81 14436 identity = sk_c9 | multiply(sk_c2,sk_c10) = identity. [para(14420(b,1),8047(a,1,2))].
% 9.52/9.81 14529 identity = sk_c9 | sk_c2 = sk_c1. [para(14435(b,1),14356(b,1)),merge(b)].
% 9.52/9.81 14624 sk_c2 = sk_c1 | inverse(sk_c9) = identity. [para(14529(a,1),6707(a,1,1))].
% 9.52/9.81 14919 sk_c2 = sk_c1 | identity = sk_c10. [para(14624(b,1),9508(b,1)),merge(c)].
% 9.52/9.81 15002 sk_c2 = sk_c1 | sk_c9 = sk_c10. [para(14919(b,1),14529(a,1)),flip(b),merge(c)].
% 9.52/9.81 15005 sk_c9 = sk_c10 | multiply(sk_c1,sk_c10) = sk_c9. [para(15002(a,1),33(b,1,1)),merge(c)].
% 9.52/9.81 15350 multiply(sk_c8,sk_c9) = sk_c10 | multiply(sk_c8,inverse(sk_c9)) = sk_c3. [para(8047(a,1),347(b,1,2)),rewrite([6644(8)]),flip(b)].
% 9.52/9.81 16308 identity = sk_c9 | multiply(sk_c1,sk_c10) = sk_c9. [para(14436(b,1),33(b,1)),merge(c)].
% 9.52/9.81 17799 sk_c9 = sk_c10 | identity = sk_c9. [para(15005(b,1),14357(b,1)),flip(c),merge(c)].
% 9.52/9.81 17805 sk_c9 = sk_c10 | inverse(sk_c9) = identity. [para(17799(b,1),6707(a,1,1))].
% 9.52/9.81 17824 sk_c9 = sk_c10 | identity = sk_c10. [para(17805(b,1),9508(b,1)),merge(c)].
% 9.52/9.81 17832 sk_c9 = sk_c10. [para(17824(b,1),17799(b,1)),flip(c),merge(b),merge(c)].
% 9.52/9.81 18002 identity = sk_c10 | multiply(sk_c1,sk_c10) = sk_c10. [back_rewrite(16308),rewrite([17832(2),17832(7)])].
% 9.52/9.81 18172 multiply(sk_c8,sk_c10) = sk_c10 | multiply(sk_c8,inverse(sk_c10)) = sk_c3. [back_rewrite(15350),rewrite([17832(2),17832(7)])].
% 9.52/9.81 18872 inverse(sk_c3) = sk_c10 | identity = sk_c8. [back_rewrite(13216),rewrite([17832(3),17832(6),8047(9),6644(7)]),flip(b)].
% 9.52/9.81 20689 inverse(sk_c10) != sk_c10 | multiply(A,sk_c10) != sk_c10 | inverse(A) != sk_c10 | multiply(sk_c8,sk_c10) != sk_c10 | identity != sk_c8 | multiply(sk_c10,B) != sk_c10 | inverse(sk_c10) != B | multiply(B,sk_c10) != sk_c10. [back_rewrite(8838),rewrite([17832(3),17832(7),17832(13),17832(20),17832(24),17832(27),17832(33)]),merge(i)].
% 9.52/9.81 23801 identity = sk_c8 | inverse(sk_c10) = sk_c3. [para(18872(a,1),8449(a,1,1))].
% 9.52/9.81 26062 inverse(sk_c10) != sk_c10 | multiply(A,multiply(B,sk_c10)) != sk_c10 | inverse(multiply(A,B)) != sk_c10 | multiply(sk_c8,sk_c10) != sk_c10 | identity != sk_c8 | multiply(sk_c10,C) != sk_c10 | inverse(sk_c10) != C | multiply(C,sk_c10) != sk_c10. [para(43(a,1),20689(b,1))].
% 9.52/9.81 26065 inverse(sk_c10) != sk_c10 | multiply(sk_c10,multiply(A,sk_c10)) != sk_c10 | inverse(multiply(sk_c10,A)) != sk_c10 | multiply(sk_c8,sk_c10) != sk_c10 | identity != sk_c8 | multiply(A,sk_c10) != inverse(sk_c10) | multiply(A,multiply(sk_c10,sk_c10)) != sk_c10. [factor(26062,b,f),rewrite([43(32)]),flip(f)].
% 9.52/9.81 26131 identity = sk_c10. [para(18002(b,1),9626(b,1)),flip(c),merge(b),merge(c)].
% 9.52/9.81 26139 inverse(sk_c10) != sk_c10 | multiply(sk_c10,multiply(A,sk_c10)) != sk_c10 | inverse(multiply(sk_c10,A)) != sk_c10 | multiply(sk_c8,sk_c10) != sk_c10 | sk_c8 != sk_c10 | multiply(A,sk_c10) != inverse(sk_c10) | multiply(A,multiply(sk_c10,sk_c10)) != sk_c10. [back_rewrite(26065),rewrite([26131(21)]),flip(e)].
% 9.52/9.81 26796 sk_c8 = sk_c10 | inverse(sk_c10) = sk_c3. [back_rewrite(23801),rewrite([26131(1)]),flip(a)].
% 9.52/9.81 27907 inverse(sk_c10) = sk_c10. [back_rewrite(6707),rewrite([26131(1),26131(3)])].
% 9.52/9.81 27908 multiply(A,sk_c10) = A. [back_rewrite(6644),rewrite([26131(1)])].
% 9.52/9.81 27916 sk_c8 != sk_c10. [factor(26139,b,g),rewrite([27907(2),27908(7),27908(6),27908(9),27907(8),27908(12),27908(18),27907(18)]),xx(a),xx(b),xx(c),xx(f),merge(b)].
% 9.52/9.81 27923 sk_c3 = sk_c10. [back_rewrite(26796),rewrite([27907(5)]),flip(b),unit_del(a,27916)].
% 9.52/9.81 27941 $F. [back_rewrite(18172),rewrite([27908(3),27907(6),27908(6),27923(5)]),merge(b),unit_del(a,27916)].
% 9.52/9.81
% 9.52/9.81 % SZS output end Refutation
% 9.52/9.81 ============================== end of proof ==========================
% 9.52/9.81
% 9.52/9.81 ============================== STATISTICS ============================
% 9.52/9.81
% 9.52/9.81 Given=1430. Generated=195164. Kept=27940. proofs=1.
% 9.52/9.81 Usable=183. Sos=1386. Demods=28. Limbo=34, Disabled=26381. Hints=0.
% 9.52/9.81 Megabytes=29.74.
% 9.52/9.81 User_CPU=8.70, System_CPU=0.15, Wall_clock=9.
% 9.52/9.81
% 9.52/9.81 ============================== end of statistics =====================
% 9.52/9.81
% 9.52/9.81 ============================== end of search =========================
% 9.52/9.81
% 9.52/9.81 THEOREM PROVED
% 9.52/9.81 % SZS status Unsatisfiable
% 9.52/9.81
% 9.52/9.81 Exiting with 1 proof.
% 9.52/9.81
% 9.52/9.81 Process 11282 exit (max_proofs) Mon Jun 13 07:58:18 2022
% 9.52/9.81 Prover9 interrupted
%------------------------------------------------------------------------------