TSTP Solution File: GRP269-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP269-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:18:25 EDT 2022
% Result : Unsatisfiable 10.42s 10.76s
% Output : Refutation 10.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP269-1 : TPTP v8.1.0. Released v2.5.0.
% 0.09/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 14:16:23 EDT 2022
% 0.11/0.32 % CPUTime :
% 6.72/7.00 ============================== Prover9 ===============================
% 6.72/7.00 Prover9 (32) version 2009-11A, November 2009.
% 6.72/7.00 Process 28861 was started by sandbox2 on n028.cluster.edu,
% 6.72/7.00 Mon Jun 13 14:16:23 2022
% 6.72/7.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28409_n028.cluster.edu".
% 6.72/7.00 ============================== end of head ===========================
% 6.72/7.00
% 6.72/7.00 ============================== INPUT =================================
% 6.72/7.00
% 6.72/7.00 % Reading from file /tmp/Prover9_28409_n028.cluster.edu
% 6.72/7.00
% 6.72/7.00 set(prolog_style_variables).
% 6.72/7.00 set(auto2).
% 6.72/7.00 % set(auto2) -> set(auto).
% 6.72/7.00 % set(auto) -> set(auto_inference).
% 6.72/7.00 % set(auto) -> set(auto_setup).
% 6.72/7.00 % set(auto_setup) -> set(predicate_elim).
% 6.72/7.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 6.72/7.00 % set(auto) -> set(auto_limits).
% 6.72/7.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 6.72/7.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 6.72/7.00 % set(auto) -> set(auto_denials).
% 6.72/7.00 % set(auto) -> set(auto_process).
% 6.72/7.00 % set(auto2) -> assign(new_constants, 1).
% 6.72/7.00 % set(auto2) -> assign(fold_denial_max, 3).
% 6.72/7.00 % set(auto2) -> assign(max_weight, "200.000").
% 6.72/7.00 % set(auto2) -> assign(max_hours, 1).
% 6.72/7.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 6.72/7.00 % set(auto2) -> assign(max_seconds, 0).
% 6.72/7.00 % set(auto2) -> assign(max_minutes, 5).
% 6.72/7.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 6.72/7.00 % set(auto2) -> set(sort_initial_sos).
% 6.72/7.00 % set(auto2) -> assign(sos_limit, -1).
% 6.72/7.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 6.72/7.00 % set(auto2) -> assign(max_megs, 400).
% 6.72/7.00 % set(auto2) -> assign(stats, some).
% 6.72/7.00 % set(auto2) -> clear(echo_input).
% 6.72/7.00 % set(auto2) -> set(quiet).
% 6.72/7.00 % set(auto2) -> clear(print_initial_clauses).
% 6.72/7.00 % set(auto2) -> clear(print_given).
% 6.72/7.00 assign(lrs_ticks,-1).
% 6.72/7.00 assign(sos_limit,10000).
% 6.72/7.00 assign(order,kbo).
% 6.72/7.00 set(lex_order_vars).
% 6.72/7.00 clear(print_given).
% 6.72/7.00
% 6.72/7.00 % formulas(sos). % not echoed (54 formulas)
% 6.72/7.00
% 6.72/7.00 ============================== end of input ==========================
% 6.72/7.00
% 6.72/7.00 % From the command line: assign(max_seconds, 300).
% 6.72/7.00
% 6.72/7.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 6.72/7.00
% 6.72/7.00 % Formulas that are not ordinary clauses:
% 6.72/7.00
% 6.72/7.00 ============================== end of process non-clausal formulas ===
% 6.72/7.00
% 6.72/7.00 ============================== PROCESS INITIAL CLAUSES ===============
% 6.72/7.00
% 6.72/7.00 ============================== PREDICATE ELIMINATION =================
% 6.72/7.00
% 6.72/7.00 ============================== end predicate elimination =============
% 6.72/7.00
% 6.72/7.00 Auto_denials: (non-Horn, no changes).
% 6.72/7.00
% 6.72/7.00 Term ordering decisions:
% 6.72/7.00
% 6.72/7.00 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 6.72/7.00 Function symbol KB weights: sk_c11=1. sk_c10=1. sk_c8=1. sk_c9=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.
% 6.72/7.00
% 6.72/7.00 ============================== end of process initial clauses ========
% 6.72/7.00
% 6.72/7.00 ============================== CLAUSES FOR SEARCH ====================
% 6.72/7.00
% 6.72/7.00 ============================== end of clauses for search =============
% 6.72/7.00
% 6.72/7.00 ============================== SEARCH ================================
% 6.72/7.00
% 6.72/7.00 % Starting search at 0.13 seconds.
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=10284, wt=49.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=10285, wt=48.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=10359, wt=47.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=11074, wt=45.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=12201, wt=41.000
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=54.000, iters=9006
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=53.000, iters=8158
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=52.000, iters=6890
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=49.000, iters=4867
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=48.000, iters=3940
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=47.000, iters=3409
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=46.000, iters=3425
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19142, wt=36.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19156, wt=34.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19185, wt=33.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19194, wt=31.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19379, wt=30.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19433, wt=17.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=19603, wt=15.000
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=20124, wt=14.000
% 6.72/7.00
% 6.72/7.00 Low Water (keep): wt=45.000, iters=3333
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=21054, wt=12.000
% 6.72/7.00
% 6.72/7.00 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 29 (0.00 of 5.82 sec).
% 6.72/7.00
% 6.72/7.00 Low Water (displace): id=22100, wt=11.000
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=43.000, iters=3558
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=40.000, iters=3801
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=37.000, iters=3364
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=35.000, iters=3417
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=31.000, iters=3373
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=30.000, iters=3333
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=29.000, iters=3409
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=28.000, iters=3429
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=27.000, iters=3368
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=26.000, iters=3375
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=25.000, iters=3352
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=24.000, iters=3339
% 10.42/10.76
% 10.42/10.76 Low Water (keep): wt=23.000, iters=3353
% 10.42/10.76
% 10.42/10.76 ============================== PROOF =================================
% 10.42/10.76 % SZS status Unsatisfiable
% 10.42/10.76 % SZS output start Refutation
% 10.42/10.76
% 10.42/10.76 % Proof 1 at 9.69 (+ 0.11) seconds.
% 10.42/10.76 % Length of proof is 89.
% 10.42/10.76 % Level of proof is 23.
% 10.42/10.76 % Maximum clause weight is 68.000.
% 10.42/10.76 % Given clauses 975.
% 10.42/10.76
% 10.42/10.76 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 10.42/10.76 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 10.42/10.76 3 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 10.42/10.76 9 inverse(sk_c2) = sk_c11 | inverse(sk_c4) = sk_c10 # label(prove_this_44) # label(negated_conjecture). [assumption].
% 10.42/10.76 13 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 10.42/10.76 18 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 10.42/10.76 25 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 10.42/10.76 27 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c6) = sk_c8 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 10.42/10.76 29 multiply(sk_c2,sk_c11) = sk_c9 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 10.42/10.76 34 inverse(sk_c2) = sk_c11 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_43) # label(negated_conjecture). [assumption].
% 10.42/10.76 36 inverse(sk_c2) = sk_c11 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_47) # label(negated_conjecture). [assumption].
% 10.42/10.76 38 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 10.42/10.76 45 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 10.42/10.76 46 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 10.42/10.76 49 multiply(sk_c2,sk_c11) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 10.42/10.76 51 multiply(sk_c2,sk_c11) = sk_c9 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_37) # label(negated_conjecture). [assumption].
% 10.42/10.76 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 10.42/10.76 54 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c11) != sk_c9 | inverse(B) != sk_c11 | 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].
% 10.42/10.76 55 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c11) != sk_c9 | inverse(B) != sk_c11 | 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,a,f),merge(f)].
% 10.42/10.76 56 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c11) != sk_c9 | inverse(B) != sk_c11 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(D,sk_c11) != sk_c11 | inverse(D) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(A) != sk_c10 | inverse(sk_c10) != sk_c11. [factor(55,a,m)].
% 10.42/10.76 77 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c11) != sk_c9 | inverse(B) != sk_c11 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(A,sk_c11) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(A) != sk_c10 | inverse(sk_c10) != sk_c11. [factor(56,b,i)].
% 10.42/10.76 156 multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c9 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c10) != sk_c10. [factor(77,b,k)].
% 10.42/10.76 300 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 10.42/10.76 325 inverse(sk_c5) = sk_c8 | multiply(sk_c11,multiply(sk_c9,A)) = multiply(sk_c10,A). [para(25(a,1),53(a,1,1)),flip(b)].
% 10.42/10.76 365 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,multiply(sk_c8,A)) = multiply(sk_c11,A). [para(45(b,1),53(a,1,1)),flip(b)].
% 10.42/10.76 16461 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),300(a,1,2))].
% 10.42/10.76 16483 inverse(sk_c5) = sk_c8 | multiply(inverse(sk_c11),sk_c10) = sk_c9. [para(25(a,1),300(a,1,2))].
% 10.42/10.76 16485 inverse(sk_c6) = sk_c8 | multiply(inverse(sk_c11),sk_c10) = sk_c9. [para(27(a,1),300(a,1,2))].
% 10.42/10.76 16492 inverse(sk_c2) = sk_c11 | multiply(inverse(sk_c4),sk_c9) = sk_c10. [para(34(b,1),300(a,1,2))].
% 10.42/10.76 16545 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(300(a,1),300(a,1,2))].
% 10.42/10.76 16653 multiply(A,identity) = A. [back_rewrite(16461),rewrite([16545(4)])].
% 10.42/10.76 16767 inverse(identity) = identity. [para(16653(a,1),2(a,1))].
% 10.42/10.76 17551 multiply(A,inverse(A)) = identity. [para(16545(a,1),2(a,1))].
% 10.42/10.76 18144 multiply(A,multiply(inverse(A),B)) = B. [para(16545(a,1),300(a,1))].
% 10.42/10.76 18145 inverse(inverse(A)) = A. [para(16545(a,1),16653(a,1)),rewrite([16653(2)]),flip(a)].
% 10.42/10.76 18615 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(3(b,1),17551(a,1,2))].
% 10.42/10.76 19419 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(18615(b,1),18(b,1)),merge(b)].
% 10.42/10.76 19426 identity = sk_c10 | multiply(sk_c1,sk_c11) = identity. [para(19419(a,1),17551(a,1,2))].
% 10.42/10.76 19574 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(19426(b,1),13(a,1)),merge(b)].
% 10.42/10.76 19586 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(19574(b,1),17551(a,1,2))].
% 10.42/10.76 20944 identity = sk_c10 | multiply(sk_c1,sk_c11) = sk_c10. [para(19586(b,1),38(b,1)),merge(c)].
% 10.42/10.76 23979 inverse(sk_c5) = sk_c8 | multiply(sk_c10,inverse(sk_c9)) = sk_c11. [para(17551(a,1),325(b,1,2)),rewrite([16653(7)]),flip(b)].
% 10.42/10.76 24529 identity = sk_c10. [para(20944(b,1),19426(b,1)),flip(c),merge(b),merge(c)].
% 10.42/10.76 24959 multiply(A,inverse(A)) = sk_c10. [back_rewrite(17551),rewrite([24529(3)])].
% 10.42/10.76 24979 inverse(sk_c10) = sk_c10. [back_rewrite(16767),rewrite([24529(1),24529(3)])].
% 10.42/10.76 24982 multiply(A,sk_c10) = A. [back_rewrite(16653),rewrite([24529(1)])].
% 10.42/10.76 24994 multiply(inverse(A),A) = sk_c10. [back_rewrite(2),rewrite([24529(3)])].
% 10.42/10.76 24995 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([24529(1)])].
% 10.42/10.76 25421 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c9 | inverse(A) != sk_c11 | sk_c9 != B | inverse(B) != sk_c10. [back_rewrite(156),rewrite([24995(3),24979(5),24982(20),24995(26),24982(29),24979(31)]),flip(a),flip(f),xx(h),xx(i),xx(j),merge(b)].
% 10.42/10.76 25515 inverse(sk_c6) = sk_c8 | inverse(sk_c11) = sk_c9. [back_rewrite(16485),rewrite([24982(8)])].
% 10.42/10.76 25517 inverse(sk_c5) = sk_c8 | inverse(sk_c11) = sk_c9. [back_rewrite(16483),rewrite([24982(8)])].
% 10.42/10.76 28418 multiply(sk_c2,sk_c11) = sk_c9 | sk_c8 = sk_c11. [back_rewrite(51),rewrite([24982(8)])].
% 10.42/10.76 28419 multiply(sk_c2,sk_c11) = sk_c9 | sk_c4 = sk_c9. [back_rewrite(49),rewrite([24982(8)])].
% 10.42/10.76 28420 multiply(sk_c11,sk_c9) = sk_c10 | sk_c8 = sk_c11. [back_rewrite(46),rewrite([24982(8)])].
% 10.42/10.76 28424 inverse(sk_c2) = sk_c11 | sk_c8 = sk_c11. [back_rewrite(36),rewrite([24982(7)])].
% 10.42/10.76 28425 inverse(sk_c2) = sk_c11 | sk_c4 = sk_c9. [back_rewrite(34),rewrite([24982(7)])].
% 10.42/10.76 28429 inverse(sk_c5) = sk_c8 | inverse(sk_c9) = sk_c11. [back_rewrite(23979),rewrite([24995(8)])].
% 10.42/10.76 29952 sk_c8 = sk_c11 | inverse(sk_c11) = sk_c2. [para(28424(a,1),18145(a,1,1))].
% 10.42/10.76 29954 sk_c8 = sk_c11 | multiply(sk_c2,sk_c11) = sk_c10. [para(28424(a,1),24959(a,1,2))].
% 10.42/10.76 29962 sk_c4 = sk_c9 | multiply(sk_c2,sk_c11) = sk_c10. [para(28425(a,1),24959(a,1,2))].
% 10.42/10.76 29982 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c9 | inverse(A) != sk_c11 | inverse(sk_c9) != sk_c10. [resolve(25421,e,24995,a(flip)),rewrite([24995(18)])].
% 10.42/10.76 30044 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,multiply(B,sk_c11)) != sk_c9 | inverse(multiply(A,B)) != sk_c11 | inverse(sk_c9) != sk_c10. [para(53(a,1),29982(c,1))].
% 10.42/10.76 30314 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | sk_c9 != A | inverse(multiply(A,inverse(sk_c11))) != sk_c11 | inverse(sk_c9) != sk_c10. [para(24994(a,1),30044(c,1,2)),rewrite([24982(10)]),flip(c)].
% 10.42/10.76 30324 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,B) != sk_c9 | inverse(multiply(A,multiply(B,inverse(sk_c11)))) != sk_c11 | inverse(sk_c9) != sk_c10. [para(53(a,1),30314(d,1,1)),flip(c)].
% 10.42/10.76 30554 inverse(sk_c11) = sk_c9 | inverse(sk_c8) = sk_c6. [para(25515(a,1),18145(a,1,1))].
% 10.42/10.76 30580 inverse(sk_c11) = sk_c9 | inverse(sk_c8) = sk_c5. [para(25517(a,1),18145(a,1,1))].
% 10.42/10.76 30800 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,multiply(B,C)) != sk_c9 | inverse(multiply(A,multiply(B,multiply(C,inverse(sk_c11))))) != sk_c11 | inverse(sk_c9) != sk_c10. [para(53(a,1),30324(d,1,1,2))].
% 10.42/10.76 30986 sk_c8 = sk_c11 | inverse(sk_c11) = sk_c9. [para(28420(a,1),300(a,1,2)),rewrite([24982(7)])].
% 10.42/10.76 31002 sk_c8 = sk_c11 | sk_c2 = sk_c9. [para(30986(b,1),29952(b,1)),flip(c),merge(b)].
% 10.42/10.76 31717 inverse(sk_c9) = sk_c11 | multiply(sk_c8,sk_c5) = sk_c10. [para(28429(a,1),24994(a,1,1))].
% 10.42/10.76 32039 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = sk_c10. [para(24959(a,1),365(b,2))].
% 10.42/10.76 32390 sk_c8 = sk_c11 | sk_c9 = sk_c10. [para(29954(b,1),28418(a,1)),flip(b),merge(c)].
% 10.42/10.76 32417 sk_c8 = sk_c11 | sk_c2 = sk_c10. [para(32390(b,1),31002(b,2)),merge(b)].
% 10.42/10.76 32657 sk_c8 = sk_c11 | sk_c9 = sk_c11. [para(32417(b,1),28418(a,1,1)),rewrite([24995(6)]),flip(b),merge(c)].
% 10.42/10.76 32919 sk_c4 = sk_c9 | sk_c9 = sk_c10. [para(29962(b,1),28419(a,1)),flip(b),merge(c)].
% 10.42/10.76 33110 inverse(sk_c11) = sk_c9 | sk_c5 = sk_c6. [para(30580(b,1),30554(b,1)),merge(b)].
% 10.42/10.76 33188 sk_c5 = sk_c6 | multiply(sk_c9,sk_c11) = sk_c10. [para(33110(a,1),24994(a,1,1))].
% 10.42/10.76 33327 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,multiply(inverse(multiply(B,inverse(sk_c11))),B)) != sk_c9 | inverse(A) != sk_c11 | inverse(sk_c9) != sk_c10. [para(24994(a,1),30800(d,1,1,2)),rewrite([24982(18)])].
% 10.42/10.76 33328 sk_c10 != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | inverse(multiply(sk_c9,inverse(sk_c11))) != sk_c11 | inverse(sk_c9) != sk_c10. [resolve(33327,c,18144,a)].
% 10.42/10.76 34587 inverse(sk_c2) = sk_c11 | sk_c9 = sk_c10. [para(9(b,1),16492(b,1,1)),rewrite([24995(11)]),merge(b)].
% 10.42/10.76 34600 sk_c9 = sk_c10 | multiply(sk_c2,sk_c11) = sk_c10. [para(34587(a,1),24959(a,1,2))].
% 10.42/10.76 34610 sk_c9 = sk_c10 | inverse(sk_c4) = sk_c10. [para(34600(b,1),29(a,1)),flip(b),merge(b)].
% 10.42/10.76 34643 sk_c9 = sk_c10 | sk_c4 = sk_c10. [para(34610(b,1),18145(a,1,1)),rewrite([24979(5)]),flip(b)].
% 10.42/10.76 34645 sk_c9 = sk_c10. [para(34643(b,1),32919(a,1)),flip(b),merge(b),merge(c)].
% 10.42/10.76 35088 sk_c10 != sk_c11. [back_rewrite(33328),rewrite([34645(5),24982(6),34645(7),24995(10),18145(9),34645(10),24979(11)]),flip(b),xx(c),xx(d),merge(b)].
% 10.42/10.76 35127 sk_c5 = sk_c6. [back_rewrite(33188),rewrite([34645(4),24995(6)]),flip(b),unit_del(b,35088)].
% 10.42/10.76 35195 sk_c8 = sk_c11. [back_rewrite(32657),rewrite([34645(4)]),unit_del(b,35088)].
% 10.42/10.76 35228 sk_c6 = sk_c10. [back_rewrite(32039),rewrite([34645(2),24982(3),35127(4),35195(5),24959(8),24982(6)]),flip(a),unit_del(a,35088)].
% 10.42/10.76 35237 $F. [back_rewrite(31717),rewrite([34645(1),24979(2),35195(4),35127(5),35228(5),24982(6)]),flip(b),merge(b),unit_del(a,35088)].
% 10.42/10.76
% 10.42/10.76 % SZS output end Refutation
% 10.42/10.76 ============================== end of proof ==========================
% 10.42/10.76
% 10.42/10.76 ============================== STATISTICS ============================
% 10.42/10.76
% 10.42/10.76 Given=975. Generated=163958. Kept=35236. proofs=1.
% 10.42/10.76 Usable=383. Sos=7068. Demods=44. Limbo=592, Disabled=27247. Hints=0.
% 10.42/10.76 Megabytes=44.66.
% 10.42/10.76 User_CPU=9.69, System_CPU=0.11, Wall_clock=10.
% 10.42/10.76
% 10.42/10.76 ============================== end of statistics =====================
% 10.42/10.76
% 10.42/10.76 ============================== end of search =========================
% 10.42/10.76
% 10.42/10.76 THEOREM PROVED
% 10.42/10.76 % SZS status Unsatisfiable
% 10.42/10.76
% 10.42/10.76 Exiting with 1 proof.
% 10.42/10.76
% 10.42/10.76 Process 28861 exit (max_proofs) Mon Jun 13 14:16:33 2022
% 10.42/10.76 Prover9 interrupted
%------------------------------------------------------------------------------