TSTP Solution File: GRP338-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP338-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 11:18:41 EDT 2022
% Result : Unsatisfiable 145.62s 145.95s
% Output : Refutation 145.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP338-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n011.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 : Tue Jun 14 09:03:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 127.99/128.25 ============================== Prover9 ===============================
% 127.99/128.25 Prover9 (32) version 2009-11A, November 2009.
% 127.99/128.25 Process 31542 was started by sandbox2 on n011.cluster.edu,
% 127.99/128.25 Tue Jun 14 09:03:20 2022
% 127.99/128.25 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31389_n011.cluster.edu".
% 127.99/128.25 ============================== end of head ===========================
% 127.99/128.25
% 127.99/128.25 ============================== INPUT =================================
% 127.99/128.25
% 127.99/128.25 % Reading from file /tmp/Prover9_31389_n011.cluster.edu
% 127.99/128.25
% 127.99/128.25 set(prolog_style_variables).
% 127.99/128.25 set(auto2).
% 127.99/128.25 % set(auto2) -> set(auto).
% 127.99/128.25 % set(auto) -> set(auto_inference).
% 127.99/128.25 % set(auto) -> set(auto_setup).
% 127.99/128.25 % set(auto_setup) -> set(predicate_elim).
% 127.99/128.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 127.99/128.25 % set(auto) -> set(auto_limits).
% 127.99/128.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 127.99/128.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 127.99/128.25 % set(auto) -> set(auto_denials).
% 127.99/128.25 % set(auto) -> set(auto_process).
% 127.99/128.25 % set(auto2) -> assign(new_constants, 1).
% 127.99/128.25 % set(auto2) -> assign(fold_denial_max, 3).
% 127.99/128.25 % set(auto2) -> assign(max_weight, "200.000").
% 127.99/128.25 % set(auto2) -> assign(max_hours, 1).
% 127.99/128.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 127.99/128.25 % set(auto2) -> assign(max_seconds, 0).
% 127.99/128.25 % set(auto2) -> assign(max_minutes, 5).
% 127.99/128.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 127.99/128.25 % set(auto2) -> set(sort_initial_sos).
% 127.99/128.25 % set(auto2) -> assign(sos_limit, -1).
% 127.99/128.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 127.99/128.25 % set(auto2) -> assign(max_megs, 400).
% 127.99/128.25 % set(auto2) -> assign(stats, some).
% 127.99/128.25 % set(auto2) -> clear(echo_input).
% 127.99/128.25 % set(auto2) -> set(quiet).
% 127.99/128.25 % set(auto2) -> clear(print_initial_clauses).
% 127.99/128.25 % set(auto2) -> clear(print_given).
% 127.99/128.25 assign(lrs_ticks,-1).
% 127.99/128.25 assign(sos_limit,10000).
% 127.99/128.25 assign(order,kbo).
% 127.99/128.25 set(lex_order_vars).
% 127.99/128.25 clear(print_given).
% 127.99/128.25
% 127.99/128.25 % formulas(sos). % not echoed (54 formulas)
% 127.99/128.25
% 127.99/128.25 ============================== end of input ==========================
% 127.99/128.25
% 127.99/128.25 % From the command line: assign(max_seconds, 300).
% 127.99/128.25
% 127.99/128.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 127.99/128.25
% 127.99/128.25 % Formulas that are not ordinary clauses:
% 127.99/128.25
% 127.99/128.25 ============================== end of process non-clausal formulas ===
% 127.99/128.25
% 127.99/128.25 ============================== PROCESS INITIAL CLAUSES ===============
% 127.99/128.25
% 127.99/128.25 ============================== PREDICATE ELIMINATION =================
% 127.99/128.25
% 127.99/128.25 ============================== end predicate elimination =============
% 127.99/128.25
% 127.99/128.25 Auto_denials: (non-Horn, no changes).
% 127.99/128.25
% 127.99/128.25 Term ordering decisions:
% 127.99/128.25
% 127.99/128.25 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 127.99/128.25 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c8=1. sk_c1=1. sk_c2=1. sk_c6=1. sk_c9=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 127.99/128.25
% 127.99/128.25 ============================== end of process initial clauses ========
% 127.99/128.25
% 127.99/128.25 ============================== CLAUSES FOR SEARCH ====================
% 127.99/128.25
% 127.99/128.25 ============================== end of clauses for search =============
% 127.99/128.25
% 127.99/128.25 ============================== SEARCH ================================
% 127.99/128.25
% 127.99/128.25 % Starting search at 0.75 seconds.
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=59.000, iters=4958
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=10598, wt=61.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=10602, wt=60.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=10624, wt=58.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=11582, wt=57.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=15061, wt=55.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=15141, wt=54.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=15664, wt=53.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=16927, wt=50.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=17357, wt=49.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=27845, wt=48.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=33358, wt=46.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=33432, wt=45.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=35524, wt=44.000
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=50.000, iters=4577
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=42619, wt=43.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=48076, wt=41.000
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=48430, wt=40.000
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=49.000, iters=4779
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=48.000, iters=3652
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=47.000, iters=3387
% 127.99/128.25
% 127.99/128.25 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 71 (0.00 of 120.97 sec).
% 127.99/128.25
% 127.99/128.25 Low Water (keep): wt=46.000, iters=3412
% 127.99/128.25
% 127.99/128.25 Low Water (displace): id=132463, wt=39.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140067, wt=30.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140081, wt=29.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140251, wt=28.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140256, wt=27.000
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=45.000, iters=3700
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140407, wt=26.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140596, wt=25.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=140902, wt=22.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=141305, wt=17.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=141321, wt=15.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=141498, wt=14.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=142456, wt=12.000
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=142587, wt=11.000
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=43.000, iters=3339
% 145.62/145.95
% 145.62/145.95 Low Water (displace): id=144058, wt=10.000
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=42.000, iters=3453
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=41.000, iters=3496
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=40.000, iters=3603
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=39.000, iters=3421
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=38.000, iters=3442
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=36.000, iters=3362
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=35.000, iters=3458
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=34.000, iters=3442
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=33.000, iters=3350
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=32.000, iters=3336
% 145.62/145.95
% 145.62/145.95 Low Water (keep): wt=31.000, iters=3358
% 145.62/145.95
% 145.62/145.95 ============================== PROOF =================================
% 145.62/145.95 % SZS status Unsatisfiable
% 145.62/145.95 % SZS output start Refutation
% 145.62/145.95
% 145.62/145.95 % Proof 1 at 144.17 (+ 0.74) seconds.
% 145.62/145.95 % Length of proof is 84.
% 145.62/145.95 % Level of proof is 22.
% 145.62/145.95 % Maximum clause weight is 68.000.
% 145.62/145.95 % Given clauses 1475.
% 145.62/145.95
% 145.62/145.95 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 145.62/145.95 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 145.62/145.95 3 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 145.62/145.95 10 inverse(sk_c2) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_46) # label(negated_conjecture). [assumption].
% 145.62/145.95 13 multiply(sk_c10,sk_c11) = sk_c9 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 145.62/145.95 14 multiply(sk_c10,sk_c11) = sk_c9 | inverse(sk_c4) = sk_c10 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 145.62/145.95 18 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 145.62/145.95 23 multiply(sk_c1,sk_c10) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 145.62/145.95 30 multiply(sk_c2,sk_c10) = sk_c11 | inverse(sk_c5) = sk_c8 # label(prove_this_36) # label(negated_conjecture). [assumption].
% 145.62/145.95 34 inverse(sk_c2) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_43) # label(negated_conjecture). [assumption].
% 145.62/145.95 35 inverse(sk_c2) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 145.62/145.95 38 multiply(sk_c10,sk_c11) = sk_c9 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 145.62/145.95 39 multiply(sk_c10,sk_c11) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 145.62/145.95 41 multiply(sk_c10,sk_c11) = sk_c9 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 145.62/145.95 43 multiply(sk_c1,sk_c10) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 145.62/145.95 50 multiply(sk_c2,sk_c10) = sk_c11 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_35) # label(negated_conjecture). [assumption].
% 145.62/145.95 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 145.62/145.95 54 multiply(sk_c10,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(A,sk_c10) != sk_c11 | multiply(B,sk_c10) != sk_c11 | inverse(B) != 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].
% 145.62/145.95 56 multiply(sk_c10,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(A,sk_c10) != sk_c11 | multiply(B,sk_c10) != sk_c11 | inverse(B) != sk_c10 | multiply(A,sk_c11) != sk_c10 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | 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,b,g)].
% 145.62/145.95 90 multiply(sk_c10,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(A,sk_c10) != sk_c11 | multiply(B,sk_c10) != sk_c11 | inverse(B) != sk_c10 | multiply(A,sk_c11) != sk_c10 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(D,A) != sk_c11 | inverse(D) != A | inverse(E) != F | inverse(F) != A | multiply(E,A) != F. [factor(56,c,k)].
% 145.62/145.95 258 multiply(sk_c10,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(A,sk_c10) != sk_c11 | multiply(B,sk_c10) != sk_c11 | inverse(B) != sk_c10 | multiply(A,sk_c11) != sk_c10 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(D,A) != sk_c11 | inverse(D) != A | inverse(A) != A | multiply(D,A) != A. [factor(90,j,k)].
% 145.62/145.95 569 multiply(sk_c10,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(A,sk_c10) != sk_c11 | multiply(B,sk_c10) != sk_c11 | inverse(B) != sk_c10 | multiply(A,sk_c11) != sk_c10 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(A,A) != sk_c11 | inverse(A) != A | multiply(A,A) != A. [factor(258,j,k)].
% 145.62/145.95 890 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 145.62/145.95 891 inverse(sk_c3) = sk_c11 | multiply(sk_c10,multiply(sk_c11,A)) = multiply(sk_c9,A). [para(13(a,1),53(a,1,1)),flip(b)].
% 145.62/145.95 893 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c11,A)) = multiply(sk_c9,A). [para(14(a,1),53(a,1,1)),flip(b)].
% 145.62/145.95 128524 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),890(a,1,2))].
% 145.62/145.95 128562 multiply(sk_c10,sk_c11) = sk_c9 | multiply(inverse(sk_c8),sk_c11) = sk_c10. [para(41(b,1),890(a,1,2))].
% 145.62/145.95 128886 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(890(a,1),890(a,1,2))].
% 145.62/145.95 129856 multiply(A,identity) = A. [back_rewrite(128524),rewrite([128886(4)])].
% 145.62/145.95 131238 inverse(identity) = identity. [para(129856(a,1),2(a,1))].
% 145.62/145.95 131357 multiply(sk_c10,sk_c11) != sk_c9 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(A,sk_c10) != sk_c11 | inverse(A) != sk_c10 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10. [para(129856(a,1),569(i,1)),rewrite([131238(7),1(11),1(21),131238(33),129856(37)]),flip(c),xx(j),xx(k),merge(f),merge(i)].
% 145.62/145.95 132839 multiply(A,inverse(A)) = identity. [para(128886(a,1),2(a,1))].
% 145.62/145.95 135185 inverse(inverse(A)) = A. [para(128886(a,1),129856(a,1)),rewrite([129856(2)]),flip(a)].
% 145.62/145.95 136701 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(3(b,1),132839(a,1,2))].
% 145.62/145.95 136707 inverse(sk_c2) = sk_c10 | multiply(sk_c5,sk_c8) = identity. [para(10(b,1),132839(a,1,2))].
% 145.62/145.95 137067 inverse(sk_c3) = sk_c11 | multiply(sk_c9,inverse(sk_c11)) = sk_c10. [para(132839(a,1),891(b,1,2)),rewrite([129856(7)]),flip(b)].
% 145.62/145.95 139844 inverse(sk_c4) = sk_c10 | multiply(sk_c9,inverse(sk_c11)) = sk_c10. [para(132839(a,1),893(b,1,2)),rewrite([129856(7)]),flip(b)].
% 145.62/145.95 139871 multiply(sk_c10,sk_c11) != sk_c9 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10. [para(2(a,1),131357(d,1)),rewrite([135185(17)]),xx(e),merge(d)].
% 145.62/145.95 139910 multiply(sk_c10,sk_c11) != sk_c9 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(A,multiply(B,sk_c10)) != sk_c9 | inverse(multiply(A,B)) != sk_c10. [para(53(a,1),139871(d,1))].
% 145.62/145.95 139911 multiply(sk_c10,sk_c11) != sk_c9 | identity != sk_c11 | sk_c11 != sk_c10 | sk_c9 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10. [para(2(a,1),139910(d,1,2)),rewrite([129856(13)]),flip(d)].
% 145.62/145.95 139953 multiply(sk_c10,sk_c11) != sk_c9 | identity != sk_c11 | sk_c11 != sk_c10 | multiply(A,B) != sk_c9 | inverse(multiply(A,multiply(B,inverse(sk_c10)))) != sk_c10. [para(53(a,1),139911(e,1,1)),flip(d)].
% 145.62/145.95 140735 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(136701(b,1),18(b,1)),merge(b)].
% 145.62/145.95 140745 identity = sk_c10 | inverse(sk_c11) = sk_c1. [para(140735(a,1),135185(a,1,1))].
% 145.62/145.95 141926 inverse(sk_c2) = sk_c10 | identity = sk_c11. [para(136707(b,1),35(b,1)),merge(b)].
% 145.62/145.95 141943 identity = sk_c11 | multiply(sk_c2,sk_c10) = identity. [para(141926(a,1),132839(a,1,2))].
% 145.62/145.95 142402 identity = sk_c11 | inverse(sk_c5) = sk_c8. [para(141943(b,1),30(a,1)),merge(b)].
% 145.62/145.95 142443 identity = sk_c11 | multiply(sk_c5,sk_c8) = identity. [para(142402(b,1),132839(a,1,2))].
% 145.62/145.95 143872 identity = sk_c11 | multiply(sk_c2,sk_c10) = sk_c11. [para(142443(b,1),50(b,1)),merge(c)].
% 145.62/145.95 148440 identity = sk_c11. [para(143872(b,1),141943(b,1)),flip(c),merge(b),merge(c)].
% 145.62/145.95 149816 sk_c11 = sk_c10 | inverse(sk_c11) = sk_c1. [back_rewrite(140745),rewrite([148440(1)])].
% 145.62/145.95 149982 multiply(sk_c10,sk_c11) != sk_c9 | sk_c11 != sk_c10 | multiply(A,B) != sk_c9 | inverse(multiply(A,multiply(B,inverse(sk_c10)))) != sk_c10. [back_rewrite(139953),rewrite([148440(6)]),xx(b)].
% 145.62/145.95 150153 multiply(A,inverse(A)) = sk_c11. [back_rewrite(132839),rewrite([148440(3)])].
% 145.62/145.95 150218 inverse(sk_c11) = sk_c11. [back_rewrite(131238),rewrite([148440(1),148440(3)])].
% 145.62/145.95 150220 multiply(A,sk_c11) = A. [back_rewrite(129856),rewrite([148440(1)])].
% 145.62/145.95 150233 multiply(sk_c11,A) = A. [back_rewrite(1),rewrite([148440(1)])].
% 145.62/145.95 150250 sk_c9 != sk_c10 | sk_c11 != sk_c10. [factor(149982,a,c),rewrite([150220(3),150233(11),150153(10),150218(8)]),flip(a),merge(c)].
% 145.62/145.95 150265 sk_c11 = sk_c10 | sk_c1 = sk_c11. [back_rewrite(149816),rewrite([150218(5)]),flip(b)].
% 145.62/145.95 150292 inverse(sk_c4) = sk_c10 | sk_c9 = sk_c10. [back_rewrite(139844),rewrite([150218(7),150220(7)])].
% 145.62/145.95 150301 inverse(sk_c3) = sk_c11 | sk_c9 = sk_c10. [back_rewrite(137067),rewrite([150218(7),150220(7)])].
% 145.62/145.95 150729 sk_c9 = sk_c10 | inverse(sk_c8) = sk_c10. [back_rewrite(128562),rewrite([150220(3),150220(7)]),flip(a)].
% 145.62/145.95 153117 multiply(sk_c1,sk_c10) = sk_c11 | sk_c3 = sk_c10. [back_rewrite(43),rewrite([150220(8)])].
% 145.62/145.95 153121 sk_c9 = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9. [back_rewrite(39),rewrite([150220(3)]),flip(a)].
% 145.62/145.95 153122 sk_c9 = sk_c10 | sk_c3 = sk_c10. [back_rewrite(38),rewrite([150220(3),150220(6)]),flip(a)].
% 145.62/145.95 153680 sk_c11 = sk_c10 | inverse(sk_c3) = sk_c11. [para(150265(b,1),23(a,1,1)),rewrite([150233(6)]),flip(b),merge(b)].
% 145.62/145.95 154013 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c4. [para(150292(a,1),135185(a,1,1))].
% 145.62/145.95 154176 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c11. [para(153122(b,1),150301(a,1,1)),merge(c)].
% 145.62/145.95 154592 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c8. [para(150729(b,1),135185(a,1,1))].
% 145.62/145.95 154784 sk_c11 = sk_c10 | sk_c3 = sk_c11. [para(153680(b,1),135185(a,1,1)),rewrite([150218(5)]),flip(b)].
% 145.62/145.95 155396 sk_c9 = sk_c10 | sk_c4 = sk_c11. [para(154176(b,1),154013(b,1)),flip(c),merge(b)].
% 145.62/145.95 155547 sk_c9 = sk_c10 | inverse(sk_c2) = sk_c10. [para(155396(b,1),34(b,1,1)),rewrite([150233(10)]),flip(c),merge(c)].
% 145.62/145.95 156241 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c2. [para(155547(b,1),135185(a,1,1))].
% 145.62/145.95 156244 sk_c9 = sk_c10 | sk_c4 = sk_c2. [para(156241(b,1),154013(b,1)),flip(c),merge(b)].
% 145.62/145.95 156245 sk_c9 = sk_c10 | sk_c2 = sk_c11. [para(156241(b,1),154176(b,1)),merge(b)].
% 145.62/145.95 156246 sk_c9 = sk_c10 | sk_c2 = sk_c8. [para(156241(b,1),154592(b,1)),merge(b)].
% 145.62/145.95 156310 sk_c2 = sk_c11 | sk_c11 != sk_c10. [resolve(156245,a,150250,a)].
% 145.62/145.95 156333 sk_c2 = sk_c8 | sk_c11 != sk_c10. [resolve(156246,a,150250,a)].
% 145.62/145.95 157119 sk_c11 = sk_c10 | sk_c3 = sk_c10. [para(150265(b,1),153117(a,1,1)),rewrite([150233(6)]),flip(b),merge(b)].
% 145.62/145.95 157140 sk_c11 = sk_c10. [para(157119(b,1),154784(b,1)),flip(c),merge(b),merge(c)].
% 145.62/145.95 157666 sk_c2 = sk_c8. [back_rewrite(156333),rewrite([157140(4)]),xx(b)].
% 145.62/145.95 157685 sk_c8 = sk_c10. [back_rewrite(156310),rewrite([157666(1),157140(2),157140(4)]),xx(b)].
% 145.62/145.95 158820 sk_c9 != sk_c10. [back_rewrite(150250),rewrite([157140(4)]),xx(b)].
% 145.62/145.95 158823 multiply(A,sk_c10) = A. [back_rewrite(150220),rewrite([157140(1)])].
% 145.62/145.95 158835 sk_c4 = sk_c10. [back_rewrite(156244),rewrite([157666(5),157685(5)]),unit_del(a,158820)].
% 145.62/145.95 158841 $F. [back_unit_del(153121),rewrite([158835(4),158823(6)]),flip(b),merge(b),unit_del(a,158820)].
% 145.62/145.95
% 145.62/145.95 % SZS output end Refutation
% 145.62/145.95 ============================== end of proof ==========================
% 145.62/145.95
% 145.62/145.95 ============================== STATISTICS ============================
% 145.62/145.95
% 145.62/145.95 Given=1475. Generated=991339. Kept=158840. proofs=1.
% 145.62/145.95 Usable=5. Sos=402. Demods=27. Limbo=21, Disabled=158466. Hints=0.
% 145.62/145.95 Megabytes=211.31.
% 145.62/145.95 User_CPU=144.17, System_CPU=0.74, Wall_clock=145.
% 145.62/145.96
% 145.62/145.96 ============================== end of statistics =====================
% 145.62/145.96
% 145.62/145.96 ============================== end of search =========================
% 145.62/145.96
% 145.62/145.96 THEOREM PROVED
% 145.62/145.96 % SZS status Unsatisfiable
% 145.62/145.96
% 145.62/145.96 Exiting with 1 proof.
% 145.62/145.96
% 145.62/145.96 Process 31542 exit (max_proofs) Tue Jun 14 09:05:45 2022
% 145.62/145.96 Prover9 interrupted
%------------------------------------------------------------------------------