TSTP Solution File: GRP380-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP380-1 : 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 71.33s 71.57s
% Output : Refutation 71.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP380-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 17:04:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 51.94/52.18 ============================== Prover9 ===============================
% 51.94/52.18 Prover9 (32) version 2009-11A, November 2009.
% 51.94/52.18 Process 11278 was started by sandbox on n007.cluster.edu,
% 51.94/52.18 Mon Jun 13 17:04:39 2022
% 51.94/52.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11124_n007.cluster.edu".
% 51.94/52.18 ============================== end of head ===========================
% 51.94/52.18
% 51.94/52.18 ============================== INPUT =================================
% 51.94/52.18
% 51.94/52.18 % Reading from file /tmp/Prover9_11124_n007.cluster.edu
% 51.94/52.18
% 51.94/52.18 set(prolog_style_variables).
% 51.94/52.18 set(auto2).
% 51.94/52.18 % set(auto2) -> set(auto).
% 51.94/52.18 % set(auto) -> set(auto_inference).
% 51.94/52.18 % set(auto) -> set(auto_setup).
% 51.94/52.18 % set(auto_setup) -> set(predicate_elim).
% 51.94/52.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 51.94/52.18 % set(auto) -> set(auto_limits).
% 51.94/52.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 51.94/52.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 51.94/52.18 % set(auto) -> set(auto_denials).
% 51.94/52.18 % set(auto) -> set(auto_process).
% 51.94/52.18 % set(auto2) -> assign(new_constants, 1).
% 51.94/52.18 % set(auto2) -> assign(fold_denial_max, 3).
% 51.94/52.18 % set(auto2) -> assign(max_weight, "200.000").
% 51.94/52.18 % set(auto2) -> assign(max_hours, 1).
% 51.94/52.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 51.94/52.18 % set(auto2) -> assign(max_seconds, 0).
% 51.94/52.18 % set(auto2) -> assign(max_minutes, 5).
% 51.94/52.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 51.94/52.18 % set(auto2) -> set(sort_initial_sos).
% 51.94/52.18 % set(auto2) -> assign(sos_limit, -1).
% 51.94/52.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 51.94/52.18 % set(auto2) -> assign(max_megs, 400).
% 51.94/52.18 % set(auto2) -> assign(stats, some).
% 51.94/52.18 % set(auto2) -> clear(echo_input).
% 51.94/52.18 % set(auto2) -> set(quiet).
% 51.94/52.18 % set(auto2) -> clear(print_initial_clauses).
% 51.94/52.18 % set(auto2) -> clear(print_given).
% 51.94/52.18 assign(lrs_ticks,-1).
% 51.94/52.18 assign(sos_limit,10000).
% 51.94/52.18 assign(order,kbo).
% 51.94/52.18 set(lex_order_vars).
% 51.94/52.18 clear(print_given).
% 51.94/52.18
% 51.94/52.18 % formulas(sos). % not echoed (54 formulas)
% 51.94/52.18
% 51.94/52.18 ============================== end of input ==========================
% 51.94/52.18
% 51.94/52.18 % From the command line: assign(max_seconds, 300).
% 51.94/52.18
% 51.94/52.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 51.94/52.18
% 51.94/52.18 % Formulas that are not ordinary clauses:
% 51.94/52.18
% 51.94/52.18 ============================== end of process non-clausal formulas ===
% 51.94/52.18
% 51.94/52.18 ============================== PROCESS INITIAL CLAUSES ===============
% 51.94/52.18
% 51.94/52.18 ============================== PREDICATE ELIMINATION =================
% 51.94/52.18
% 51.94/52.18 ============================== end predicate elimination =============
% 51.94/52.18
% 51.94/52.18 Auto_denials: (non-Horn, no changes).
% 51.94/52.18
% 51.94/52.18 Term ordering decisions:
% 51.94/52.18
% 51.94/52.18 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 51.94/52.18 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c2=1. sk_c8=1. sk_c9=1. sk_c1=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 51.94/52.18
% 51.94/52.18 ============================== end of process initial clauses ========
% 51.94/52.18
% 51.94/52.18 ============================== CLAUSES FOR SEARCH ====================
% 51.94/52.18
% 51.94/52.18 ============================== end of clauses for search =============
% 51.94/52.18
% 51.94/52.18 ============================== SEARCH ================================
% 51.94/52.18
% 51.94/52.18 % Starting search at 0.66 seconds.
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=2434, wt=83.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=9214, wt=81.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=4188, wt=80.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=9204, wt=79.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=1286, wt=71.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=10560, wt=61.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=10562, wt=59.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=10565, wt=58.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=10639, wt=57.000
% 51.94/52.18
% 51.94/52.18 Low Water (keep): wt=59.000, iters=4894
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=11009, wt=56.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=14169, wt=54.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=17269, wt=53.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=19066, wt=51.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=19116, wt=50.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=22600, wt=49.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=31126, wt=48.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=31142, wt=46.000
% 51.94/52.18
% 51.94/52.18 Low Water (displace): id=31323, wt=45.000
% 51.94/52.18
% 51.94/52.18 Low Water (keep): wt=58.000, iters=6367
% 51.94/52.18
% 51.94/52.18 Low Water (keep): wt=55.000, iters=4894
% 51.94/52.18
% 51.94/52.18 Low Water (keep): wt=54.000, iters=4420
% 51.94/52.18
% 51.94/52.18 Low Water (keep): wt=53.000, iters=3353
% 51.94/52.18
% 51.94/52.18 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 78 (0.00 of 50.91 sec).
% 71.33/71.57
% 71.33/71.57 Low Water (keep): wt=52.000, iters=3361
% 71.33/71.57
% 71.33/71.57 Low Water (keep): wt=51.000, iters=3386
% 71.33/71.57
% 71.33/71.57 Low Water (keep): wt=50.000, iters=3440
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=107672, wt=44.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=107688, wt=43.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108276, wt=36.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108278, wt=35.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108353, wt=31.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108450, wt=17.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108451, wt=14.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108480, wt=13.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=108597, wt=12.000
% 71.33/71.57
% 71.33/71.57 Low Water (keep): wt=49.000, iters=3334
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=110848, wt=11.000
% 71.33/71.57
% 71.33/71.57 Low Water (displace): id=120213, wt=10.000
% 71.33/71.57
% 71.33/71.57 ============================== PROOF =================================
% 71.33/71.57 % SZS status Unsatisfiable
% 71.33/71.57 % SZS output start Refutation
% 71.33/71.57
% 71.33/71.57 % Proof 1 at 70.12 (+ 0.45) seconds.
% 71.33/71.57 % Length of proof is 70.
% 71.33/71.57 % Level of proof is 18.
% 71.33/71.57 % Maximum clause weight is 68.000.
% 71.33/71.57 % Given clauses 1366.
% 71.33/71.57
% 71.33/71.57 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 71.33/71.57 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 71.33/71.57 3 inverse(sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 71.33/71.57 4 inverse(sk_c11) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 71.33/71.57 5 inverse(sk_c11) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 71.33/71.57 8 inverse(sk_c1) = sk_c2 | inverse(sk_c3) = sk_c11 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 71.33/71.57 13 inverse(sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 71.33/71.57 15 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 71.33/71.57 19 multiply(sk_c10,sk_c9) = sk_c11 | inverse(sk_c4) = sk_c10 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 71.33/71.57 23 multiply(sk_c1,sk_c2) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 71.33/71.57 24 multiply(sk_c1,sk_c2) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 71.33/71.57 28 inverse(sk_c1) = sk_c2 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 71.33/71.57 39 multiply(sk_c10,sk_c9) = sk_c11 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 71.33/71.57 43 multiply(sk_c1,sk_c2) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 71.33/71.57 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 71.33/71.57 54 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | 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_51) # label(negated_conjecture). [assumption].
% 71.33/71.57 56 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | 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(54,a,i)].
% 71.33/71.57 104 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c10,sk_c10) != sk_c11 | inverse(D) != E | inverse(E) != sk_c10 | multiply(D,sk_c10) != E. [factor(56,a,j)].
% 71.33/71.57 370 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c10,sk_c10) != sk_c11 | multiply(C,sk_c10) != sk_c11. [factor(104,g,k),merge(k)].
% 71.33/71.57 800 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c10,sk_c10) != sk_c11. [factor(370,j,k)].
% 71.33/71.57 1029 inverse(sk_c11) = sk_c10 | multiply(sk_c11,sk_c3) = identity. [para(3(b,1),2(a,1,1))].
% 71.33/71.57 1030 inverse(sk_c11) = sk_c10 | multiply(sk_c10,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 71.33/71.57 1031 inverse(sk_c11) = sk_c10 | multiply(sk_c8,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 71.33/71.57 1039 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 71.33/71.57 1052 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,A)) = multiply(sk_c11,A). [para(19(a,1),53(a,1,1)),flip(b)].
% 71.33/71.57 92481 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,sk_c10) != inverse(inverse(A)) | multiply(A,multiply(sk_c10,sk_c9)) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c10,sk_c10) != sk_c11. [resolve(1039,a,800,c),rewrite([53(18)]),flip(c)].
% 71.33/71.57 92997 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),1039(a,1,2))].
% 71.33/71.57 93033 multiply(sk_c10,sk_c9) = sk_c11 | multiply(inverse(sk_c4),sk_c9) = sk_c10. [para(39(b,1),1039(a,1,2))].
% 71.33/71.57 93439 inverse(sk_c11) = sk_c10 | multiply(inverse(sk_c11),identity) = sk_c3. [para(1029(b,1),1039(a,1,2))].
% 71.33/71.57 93440 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(1039(a,1),1039(a,1,2))].
% 71.33/71.57 94396 multiply(A,identity) = A. [back_rewrite(92997),rewrite([93440(4)])].
% 71.33/71.57 95023 inverse(sk_c11) = sk_c10 | inverse(sk_c11) = sk_c3. [back_rewrite(93439),rewrite([94396(8)])].
% 71.33/71.57 95680 inverse(identity) = identity. [para(94396(a,1),2(a,1))].
% 71.33/71.57 96939 inverse(sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(95023(b,1),2(a,1,1))].
% 71.33/71.57 96942 inverse(sk_c11) = sk_c10 | inverse(sk_c10) = sk_c4. [para(1030(b,1),1039(a,1,2)),rewrite([94396(8)])].
% 71.33/71.57 96952 inverse(sk_c11) = sk_c10 | inverse(sk_c8) = sk_c5. [para(1031(b,1),1039(a,1,2)),rewrite([94396(8)])].
% 71.33/71.57 96953 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = identity. [para(96952(b,1),2(a,1,1))].
% 71.33/71.57 98359 multiply(A,inverse(A)) = identity. [para(93440(a,1),2(a,1))].
% 71.33/71.57 100675 inverse(inverse(A)) = A. [para(93440(a,1),94396(a,1)),rewrite([94396(2)]),flip(a)].
% 71.33/71.57 101011 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(A,sk_c10) != A | multiply(A,multiply(sk_c10,sk_c9)) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c10,sk_c10) != sk_c11. [back_rewrite(92481),rewrite([100675(13)])].
% 71.33/71.57 101885 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c11 | multiply(sk_c11,multiply(sk_c10,sk_c9)) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c10,sk_c10) != sk_c11. [factor(101011,c,h)].
% 71.33/71.57 102531 inverse(sk_c10) = sk_c4 | inverse(sk_c10) = sk_c11. [para(96942(a,1),100675(a,1,1))].
% 71.33/71.57 103629 inverse(sk_c1) = sk_c2 | multiply(sk_c3,sk_c11) = identity. [para(8(b,1),98359(a,1,2))].
% 71.33/71.57 107549 inverse(sk_c11) = sk_c10 | identity = sk_c10. [para(96939(b,1),13(b,1)),merge(b)].
% 71.33/71.57 107556 identity = sk_c10 | inverse(sk_c10) = sk_c11. [para(107549(a,1),100675(a,1,1))].
% 71.33/71.57 107762 inverse(sk_c11) = sk_c10 | identity = sk_c11. [para(96953(b,1),15(b,1)),merge(b)].
% 71.33/71.57 107767 identity = sk_c11 | inverse(sk_c10) = sk_c11. [para(107762(a,1),100675(a,1,1))].
% 71.33/71.57 108127 inverse(sk_c1) = sk_c2 | identity = sk_c10. [para(103629(b,1),28(b,1)),merge(b)].
% 71.33/71.57 108136 identity = sk_c10 | multiply(sk_c1,sk_c2) = identity. [para(108127(a,1),98359(a,1,2))].
% 71.33/71.57 108165 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(108136(b,1),23(a,1)),merge(b)].
% 71.33/71.57 108166 identity = sk_c10 | inverse(sk_c4) = sk_c10. [para(108136(b,1),24(a,1)),merge(b)].
% 71.33/71.57 108177 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(108165(b,1),98359(a,1,2))].
% 71.33/71.57 108183 identity = sk_c10 | inverse(sk_c10) = sk_c4. [para(108166(b,1),100675(a,1,1))].
% 71.33/71.57 108196 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,inverse(sk_c11))) = identity. [para(98359(a,1),1052(b,2))].
% 71.33/71.57 108282 identity = sk_c10 | sk_c4 = sk_c11. [para(108183(b,1),107556(b,1)),merge(b)].
% 71.33/71.57 108287 sk_c4 = sk_c11 | inverse(sk_c10) = identity. [para(108282(a,1),95680(a,1,1))].
% 71.33/71.57 108419 sk_c4 = sk_c11 | identity = sk_c11. [para(108287(b,1),107767(b,1)),merge(c)].
% 71.33/71.57 108448 sk_c4 = sk_c11 | sk_c11 = sk_c10. [para(108419(b,1),108282(a,1)),merge(c)].
% 71.33/71.57 108469 sk_c11 = sk_c10 | inverse(sk_c10) = sk_c11. [para(108448(a,1),102531(a,2)),merge(c)].
% 71.33/71.57 109071 identity = sk_c10 | multiply(sk_c1,sk_c2) = sk_c10. [para(108177(b,1),43(b,1)),merge(c)].
% 71.33/71.57 120383 identity = sk_c10. [para(109071(b,1),108136(b,1)),flip(c),merge(b),merge(c)].
% 71.33/71.57 120498 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,inverse(sk_c11))) = sk_c10. [back_rewrite(108196),rewrite([120383(11)])].
% 71.33/71.57 120801 inverse(sk_c10) = sk_c10. [back_rewrite(95680),rewrite([120383(1),120383(3)])].
% 71.33/71.57 120803 multiply(A,sk_c10) = A. [back_rewrite(94396),rewrite([120383(1)])].
% 71.33/71.57 120815 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([120383(1)])].
% 71.33/71.57 120841 sk_c11 = sk_c10. [back_rewrite(108469),rewrite([120801(5)]),flip(b),merge(b)].
% 71.33/71.57 120848 sk_c9 != sk_c10. [back_rewrite(101885),rewrite([120841(1),120801(2),120815(6),120841(5),120841(7),120803(9),120841(8),120841(10),120815(13),120815(12),120841(14),120803(15),120801(17),120841(17),120841(19),120803(21),120803(24),120841(23)]),flip(g),xx(a),xx(c),xx(e),xx(f),xx(h),merge(b),merge(c)].
% 71.33/71.57 120874 sk_c4 = sk_c9. [back_rewrite(39),rewrite([120815(3),120841(2),120803(6)]),unit_del(a,120848)].
% 71.33/71.57 120876 inverse(sk_c9) = sk_c10. [back_rewrite(120498),rewrite([120874(1),120841(7),120801(8),120803(8),120815(7)]),unit_del(b,120848)].
% 71.33/71.57 120879 $F. [back_rewrite(93033),rewrite([120815(3),120841(2),120874(4),120876(5),120815(6)]),merge(b),unit_del(a,120848)].
% 71.33/71.57
% 71.33/71.57 % SZS output end Refutation
% 71.33/71.57 ============================== end of proof ==========================
% 71.33/71.57
% 71.33/71.57 ============================== STATISTICS ============================
% 71.33/71.57
% 71.33/71.57 Given=1366. Generated=622798. Kept=120878. proofs=1.
% 71.33/71.57 Usable=119. Sos=345. Demods=28. Limbo=64, Disabled=120404. Hints=0.
% 71.33/71.57 Megabytes=174.44.
% 71.33/71.57 User_CPU=70.12, System_CPU=0.45, Wall_clock=71.
% 71.33/71.57
% 71.33/71.57 ============================== end of statistics =====================
% 71.33/71.57
% 71.33/71.57 ============================== end of search =========================
% 71.33/71.57
% 71.33/71.57 THEOREM PROVED
% 71.33/71.57 % SZS status Unsatisfiable
% 71.33/71.57
% 71.33/71.57 Exiting with 1 proof.
% 71.33/71.57
% 71.33/71.57 Process 11278 exit (max_proofs) Mon Jun 13 17:05:50 2022
% 71.33/71.57 Prover9 interrupted
%------------------------------------------------------------------------------