TSTP Solution File: GRP391-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP391-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 11:18:53 EDT 2022
% Result : Unsatisfiable 20.93s 21.28s
% Output : Refutation 20.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP391-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 13:40:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 20.93/21.28 ============================== Prover9 ===============================
% 20.93/21.28 Prover9 (32) version 2009-11A, November 2009.
% 20.93/21.28 Process 2018 was started by sandbox on n025.cluster.edu,
% 20.93/21.28 Mon Jun 13 13:40:54 2022
% 20.93/21.28 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1861_n025.cluster.edu".
% 20.93/21.28 ============================== end of head ===========================
% 20.93/21.28
% 20.93/21.28 ============================== INPUT =================================
% 20.93/21.28
% 20.93/21.28 % Reading from file /tmp/Prover9_1861_n025.cluster.edu
% 20.93/21.28
% 20.93/21.28 set(prolog_style_variables).
% 20.93/21.28 set(auto2).
% 20.93/21.28 % set(auto2) -> set(auto).
% 20.93/21.28 % set(auto) -> set(auto_inference).
% 20.93/21.28 % set(auto) -> set(auto_setup).
% 20.93/21.28 % set(auto_setup) -> set(predicate_elim).
% 20.93/21.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 20.93/21.28 % set(auto) -> set(auto_limits).
% 20.93/21.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 20.93/21.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 20.93/21.28 % set(auto) -> set(auto_denials).
% 20.93/21.28 % set(auto) -> set(auto_process).
% 20.93/21.28 % set(auto2) -> assign(new_constants, 1).
% 20.93/21.28 % set(auto2) -> assign(fold_denial_max, 3).
% 20.93/21.28 % set(auto2) -> assign(max_weight, "200.000").
% 20.93/21.28 % set(auto2) -> assign(max_hours, 1).
% 20.93/21.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 20.93/21.28 % set(auto2) -> assign(max_seconds, 0).
% 20.93/21.28 % set(auto2) -> assign(max_minutes, 5).
% 20.93/21.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 20.93/21.28 % set(auto2) -> set(sort_initial_sos).
% 20.93/21.28 % set(auto2) -> assign(sos_limit, -1).
% 20.93/21.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 20.93/21.28 % set(auto2) -> assign(max_megs, 400).
% 20.93/21.28 % set(auto2) -> assign(stats, some).
% 20.93/21.28 % set(auto2) -> clear(echo_input).
% 20.93/21.28 % set(auto2) -> set(quiet).
% 20.93/21.28 % set(auto2) -> clear(print_initial_clauses).
% 20.93/21.28 % set(auto2) -> clear(print_given).
% 20.93/21.28 assign(lrs_ticks,-1).
% 20.93/21.28 assign(sos_limit,10000).
% 20.93/21.28 assign(order,kbo).
% 20.93/21.28 set(lex_order_vars).
% 20.93/21.28 clear(print_given).
% 20.93/21.28
% 20.93/21.28 % formulas(sos). % not echoed (34 formulas)
% 20.93/21.28
% 20.93/21.28 ============================== end of input ==========================
% 20.93/21.28
% 20.93/21.28 % From the command line: assign(max_seconds, 300).
% 20.93/21.28
% 20.93/21.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 20.93/21.28
% 20.93/21.28 % Formulas that are not ordinary clauses:
% 20.93/21.28
% 20.93/21.28 ============================== end of process non-clausal formulas ===
% 20.93/21.28
% 20.93/21.28 ============================== PROCESS INITIAL CLAUSES ===============
% 20.93/21.28
% 20.93/21.28 ============================== PREDICATE ELIMINATION =================
% 20.93/21.28
% 20.93/21.28 ============================== end predicate elimination =============
% 20.93/21.28
% 20.93/21.28 Auto_denials: (non-Horn, no changes).
% 20.93/21.28
% 20.93/21.28 Term ordering decisions:
% 20.93/21.28
% 20.93/21.28 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 20.93/21.28 Function symbol KB weights: sk_c8=1. sk_c6=1. sk_c7=1. sk_c2=1. sk_c1=1. sk_c3=1. sk_c4=1. sk_c5=1. identity=1. multiply=1. inverse=0.
% 20.93/21.28
% 20.93/21.28 ============================== end of process initial clauses ========
% 20.93/21.28
% 20.93/21.28 ============================== CLAUSES FOR SEARCH ====================
% 20.93/21.28
% 20.93/21.28 ============================== end of clauses for search =============
% 20.93/21.28
% 20.93/21.28 ============================== SEARCH ================================
% 20.93/21.28
% 20.93/21.28 % Starting search at 0.02 seconds.
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=47.000, iters=3352
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=41.000, iters=3490
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=39.000, iters=3364
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=38.000, iters=3333
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=37.000, iters=3346
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=36.000, iters=3386
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=35.000, iters=3348
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=34.000, iters=3333
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=33.000, iters=3359
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=32.000, iters=3355
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=31.000, iters=3344
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=30.000, iters=3348
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=29.000, iters=3405
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=28.000, iters=3355
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=27.000, iters=3357
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=25.000, iters=3368
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=22.000, iters=3367
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=21.000, iters=3494
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=16.000, iters=3339
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=15.000, iters=3792
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=14.000, iters=3340
% 20.93/21.28
% 20.93/21.28 Low Water (keep): wt=13.000, iters=3334
% 20.93/21.28
% 20.93/21.28 Low Water (displace): id=3933, wt=58.000
% 20.93/21.28
% 20.93/21.28 Low Water (displace): id=18646, wt=12.000
% 20.93/21.28
% 20.93/21.28 ============================== PROOF =================================
% 20.93/21.28 % SZS status Unsatisfiable
% 20.93/21.28 % SZS output start Refutation
% 20.93/21.28
% 20.93/21.28 % Proof 1 at 19.75 (+ 0.50) seconds.
% 20.93/21.28 % Length of proof is 92.
% 20.93/21.28 % Level of proof is 26.
% 20.93/21.28 % Maximum clause weight is 50.000.
% 20.93/21.28 % Given clauses 3074.
% 20.93/21.28
% 20.93/21.28 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 20.93/21.28 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 20.93/21.28 4 inverse(sk_c6) = sk_c8 | inverse(sk_c4) = sk_c7 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 20.93/21.28 5 inverse(sk_c6) = sk_c8 | inverse(sk_c5) = sk_c6 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 20.93/21.28 7 inverse(sk_c1) = sk_c2 | inverse(sk_c4) = sk_c7 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 20.93/21.28 10 inverse(sk_c6) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c6 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 20.93/21.28 11 inverse(sk_c6) = sk_c8 | multiply(sk_c5,sk_c8) = sk_c6 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 20.93/21.28 12 multiply(sk_c1,sk_c2) = sk_c8 | inverse(sk_c3) = sk_c8 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 20.93/21.28 13 multiply(sk_c1,sk_c2) = sk_c8 | inverse(sk_c4) = sk_c7 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 20.93/21.28 16 inverse(sk_c1) = sk_c2 | multiply(sk_c4,sk_c7) = sk_c6 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 20.93/21.28 21 multiply(sk_c6,sk_c7) = sk_c8 | inverse(sk_c3) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 20.93/21.28 25 multiply(sk_c1,sk_c2) = sk_c8 | multiply(sk_c4,sk_c7) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 20.93/21.28 30 multiply(sk_c6,sk_c7) = sk_c8 | multiply(sk_c3,sk_c8) = sk_c7 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 20.93/21.28 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 20.93/21.28 34 inverse(sk_c6) != sk_c8 | multiply(A,B) != sk_c8 | inverse(A) != B | multiply(B,sk_c7) != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | multiply(C,sk_c8) != sk_c7 | inverse(C) != sk_c8 | multiply(D,sk_c7) != sk_c6 | inverse(D) != sk_c7 | inverse(E) != sk_c6 | multiply(E,sk_c8) != sk_c6 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 20.93/21.28 54 inverse(sk_c6) = sk_c8 | multiply(sk_c7,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 20.93/21.28 55 inverse(sk_c6) = sk_c8 | multiply(sk_c6,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 20.93/21.28 59 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 20.93/21.28 63 inverse(sk_c6) = sk_c8 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c6). [para(10(b,1),33(a,2,2)),rewrite([33(8)])].
% 20.93/21.28 69 inverse(sk_c4) = sk_c7 | multiply(A,multiply(sk_c1,sk_c2)) = multiply(A,sk_c8). [para(13(a,1),33(a,2,2)),rewrite([33(8)])].
% 20.93/21.28 75 inverse(sk_c1) = sk_c2 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c6). [para(16(b,1),33(a,2,2)),rewrite([33(8)])].
% 20.93/21.28 135 inverse(sk_c6) != sk_c8 | identity != sk_c8 | inverse(inverse(A)) != A | multiply(A,sk_c7) != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | multiply(B,sk_c8) != sk_c7 | inverse(B) != sk_c8 | multiply(C,sk_c7) != sk_c6 | inverse(C) != sk_c7 | inverse(D) != sk_c6 | multiply(D,sk_c8) != sk_c6. [para(2(a,1),34(b,1))].
% 20.93/21.28 286 inverse(sk_c6) != sk_c8 | identity != sk_c8 | inverse(inverse(sk_c6)) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c8 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,sk_c7) != sk_c6 | inverse(B) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [factor(135,c,j),merge(e)].
% 20.93/21.28 703 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),59(a,1,2))].
% 20.93/21.28 711 inverse(sk_c6) = sk_c8 | multiply(inverse(sk_c5),sk_c6) = sk_c8. [para(11(b,1),59(a,1,2))].
% 20.93/21.28 721 inverse(sk_c3) = sk_c8 | multiply(inverse(sk_c6),sk_c8) = sk_c7. [para(21(a,1),59(a,1,2))].
% 20.93/21.28 737 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(59(a,1),59(a,1,2))].
% 20.93/21.28 738 multiply(A,identity) = A. [back_rewrite(703),rewrite([737(4)])].
% 20.93/21.28 745 inverse(identity) = identity. [para(738(a,1),2(a,1))].
% 20.93/21.28 824 inverse(sk_c6) = sk_c8 | inverse(sk_c7) = sk_c4. [para(54(b,1),59(a,1,2)),rewrite([738(8)])].
% 20.93/21.28 840 inverse(sk_c6) = sk_c8 | multiply(sk_c4,sk_c7) = identity. [para(824(b,1),2(a,1,1))].
% 20.93/21.28 843 inverse(sk_c6) = sk_c8 | inverse(sk_c6) = sk_c5. [para(55(b,1),59(a,1,2)),rewrite([738(8)])].
% 20.93/21.28 928 multiply(A,inverse(A)) = identity. [para(737(a,1),2(a,1))].
% 20.93/21.28 986 inverse(inverse(A)) = A. [para(737(a,1),738(a,1)),rewrite([738(2)]),flip(a)].
% 20.93/21.28 1062 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | multiply(A,sk_c8) != sk_c7 | inverse(A) != sk_c8 | multiply(B,sk_c7) != sk_c6 | inverse(B) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [back_rewrite(286),rewrite([986(10)]),xx(c)].
% 20.93/21.28 1078 inverse(sk_c1) = sk_c2 | multiply(sk_c4,sk_c7) = identity. [para(7(b,1),928(a,1,2))].
% 20.93/21.28 1080 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(928(a,1),33(a,1)),flip(a)].
% 20.93/21.28 1138 inverse(sk_c6) = sk_c8 | identity = sk_c6. [para(840(b,1),10(b,1)),merge(b)].
% 20.93/21.28 1143 identity = sk_c6 | inverse(sk_c8) = sk_c6. [para(1138(a,1),986(a,1,1))].
% 20.93/21.28 1153 inverse(sk_c6) = sk_c8 | multiply(A,sk_c6) = A. [para(840(b,1),63(b,1,2)),rewrite([738(10)]),flip(c),merge(b)].
% 20.93/21.28 1580 inverse(sk_c1) = sk_c2 | identity = sk_c6. [para(1078(b,1),16(b,1)),merge(b)].
% 20.93/21.28 1590 identity = sk_c6 | multiply(sk_c1,sk_c2) = identity. [para(1580(a,1),928(a,1,2))].
% 20.93/21.28 1717 identity = sk_c6 | inverse(sk_c4) = sk_c7 | multiply(A,sk_c8) = A. [para(1590(b,1),69(b,1,2)),rewrite([738(9)]),flip(c)].
% 20.93/21.28 2088 inverse(sk_c6) = sk_c8 | inverse(sk_c6) = identity. [para(1153(b,1),2(a,1))].
% 20.93/21.28 2222 inverse(sk_c6) = sk_c8 | multiply(sk_c6,A) = A. [para(2088(b,1),59(a,1,1)),rewrite([1(8)])].
% 20.93/21.28 2746 inverse(sk_c1) = sk_c2 | multiply(A,sk_c6) = A. [para(1078(b,1),75(b,1,2)),rewrite([738(10)]),flip(c),merge(b)].
% 20.93/21.28 2799 inverse(sk_c6) = sk_c8 | multiply(inverse(sk_c6),A) = A. [para(2222(b,1),59(a,1,2))].
% 20.93/21.28 4576 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [para(1(a,1),1062(d,1)),rewrite([745(17)]),flip(d),merge(e)].
% 20.93/21.28 4607 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,multiply(B,sk_c7)) != sk_c6 | inverse(multiply(A,B)) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [para(33(a,1),4576(e,1))].
% 20.93/21.28 4617 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | sk_c6 != A | inverse(multiply(A,inverse(sk_c7))) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [para(2(a,1),4607(e,1,2)),rewrite([738(17)]),flip(e)].
% 20.93/21.28 4643 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,B) != sk_c6 | inverse(multiply(A,multiply(B,inverse(sk_c7)))) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [para(33(a,1),4617(f,1,1)),flip(e)].
% 20.93/21.28 4818 inverse(sk_c6) = sk_c8 | inverse(sk_c5) = sk_c8. [para(711(b,1),1153(b,1)),flip(c),merge(b)].
% 20.93/21.28 4823 inverse(sk_c6) = sk_c8 | multiply(sk_c5,sk_c8) = identity. [para(4818(b,1),928(a,1,2))].
% 20.93/21.28 6322 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(1080(a,1),59(a,1,2)),rewrite([738(3)]),flip(a)].
% 20.93/21.28 6421 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(6322(a,1),59(a,1,2)),flip(a)].
% 20.93/21.28 6872 inverse(sk_c6) != sk_c8 | identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | multiply(inverse(sk_c6),sk_c8) != sk_c6. [back_rewrite(4643),rewrite([6421(23),6421(22),986(21),33(23)])].
% 20.93/21.28 9374 inverse(sk_c6) = sk_c8 | multiply(sk_c5,A) = A. [para(843(b,1),2799(b,1,1)),merge(b)].
% 20.93/21.28 9601 inverse(sk_c6) = sk_c8 | multiply(inverse(sk_c5),A) = A. [para(9374(b,1),59(a,1,2))].
% 20.93/21.28 9610 inverse(sk_c6) = sk_c8 | identity = sk_c8. [para(9374(b,1),4823(b,1)),flip(c),merge(b)].
% 20.93/21.28 9611 identity = sk_c8 | multiply(sk_c8,sk_c6) = identity. [para(9610(a,1),2(a,1,1))].
% 20.93/21.28 9613 identity = sk_c8 | inverse(sk_c8) = sk_c6. [para(9610(a,1),986(a,1,1))].
% 20.93/21.28 9638 identity = sk_c8 | inverse(sk_c1) = sk_c2. [para(9611(b,1),2746(b,1)),merge(c)].
% 20.93/21.28 9659 identity = sk_c8 | multiply(sk_c1,sk_c2) = identity. [para(9638(b,1),928(a,1,2))].
% 20.93/21.28 9699 identity = sk_c8 | inverse(sk_c3) = sk_c8. [para(9659(b,1),12(a,1)),merge(b)].
% 20.93/21.28 9710 identity = sk_c8 | inverse(sk_c8) = sk_c3. [para(9699(b,1),986(a,1,1))].
% 20.93/21.28 9739 identity = sk_c8 | sk_c3 = sk_c6. [para(9710(b,1),9613(b,1)),merge(b)].
% 20.93/21.28 9746 sk_c3 = sk_c6 | inverse(sk_c8) = identity. [para(9739(a,1),745(a,1,1))].
% 20.93/21.28 9904 sk_c3 = sk_c6 | identity = sk_c6. [para(9746(b,1),1143(b,1)),merge(c)].
% 20.93/21.28 9913 sk_c3 = sk_c6 | inverse(sk_c6) = identity. [para(9904(b,1),745(a,1,1))].
% 20.93/21.28 10047 sk_c3 = sk_c6 | inverse(sk_c3) = sk_c8 | sk_c7 = sk_c8. [para(9913(b,1),721(b,1,1)),rewrite([1(10)]),flip(c)].
% 20.93/21.28 12993 inverse(sk_c6) = sk_c8 | multiply(sk_c8,A) = A. [para(4818(b,1),9601(b,1,1)),merge(b)].
% 20.93/21.28 13126 inverse(sk_c6) = sk_c8 | multiply(inverse(sk_c8),A) = A. [para(12993(b,1),59(a,1,2))].
% 20.93/21.28 13840 sk_c3 = sk_c6 | sk_c7 = sk_c8 | inverse(sk_c8) = sk_c3. [para(10047(b,1),986(a,1,1))].
% 20.93/21.28 18656 inverse(sk_c6) = sk_c8 | inverse(sk_c8) = sk_c6. [para(13126(b,1),1153(b,1)),flip(c),merge(b)].
% 20.93/21.28 18674 inverse(sk_c8) = sk_c6. [para(18656(a,1),986(a,1,1)),merge(b)].
% 20.93/21.28 18806 sk_c3 = sk_c6 | sk_c7 = sk_c8. [back_rewrite(13840),rewrite([18674(8)]),flip(c),merge(c)].
% 20.93/21.28 18987 multiply(sk_c6,sk_c8) = identity. [para(18674(a,1),2(a,1,1))].
% 20.93/21.28 18989 inverse(sk_c6) = sk_c8. [para(18674(a,1),986(a,1,1))].
% 20.93/21.28 21737 identity != sk_c8 | multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c6. [back_rewrite(6872),rewrite([18989(2),18989(26)]),xx(a)].
% 20.93/21.28 22375 sk_c7 = sk_c8 | multiply(sk_c6,sk_c7) = sk_c8 | identity = sk_c7. [para(18806(a,1),30(b,1,1)),rewrite([18987(11)])].
% 20.93/21.28 25209 identity = sk_c6 | inverse(sk_c4) = sk_c7. [para(1717(c,1),2(a,1)),rewrite([18674(9)]),flip(c),merge(c)].
% 20.93/21.28 25214 identity = sk_c6 | multiply(sk_c4,sk_c7) = identity. [para(25209(b,1),928(a,1,2))].
% 20.93/21.28 25230 identity = sk_c6 | multiply(sk_c1,sk_c2) = sk_c8. [para(25214(b,1),25(b,1)),merge(c)].
% 20.93/21.28 25246 identity = sk_c6 | identity = sk_c8. [para(25230(b,1),1590(b,1)),flip(c),merge(b)].
% 20.93/21.28 25256 identity = sk_c8. [para(25246(a,1),745(a,1,1)),rewrite([18989(5)]),flip(b),merge(b)].
% 20.93/21.28 25482 sk_c7 = sk_c8 | multiply(sk_c6,sk_c7) = sk_c8. [back_rewrite(22375),rewrite([25256(9)]),flip(c),merge(c)].
% 20.93/21.28 25535 multiply(sk_c6,sk_c7) != sk_c8 | sk_c7 != sk_c8 | multiply(A,B) != sk_c6 | multiply(sk_c7,multiply(inverse(B),inverse(A))) != sk_c7 | multiply(sk_c8,sk_c8) != sk_c6. [back_rewrite(21737),rewrite([25256(1)]),xx(a)].
% 20.93/21.28 27511 sk_c6 = sk_c8. [back_rewrite(745),rewrite([25256(1),18674(2),25256(2)])].
% 20.93/21.28 27512 multiply(A,sk_c8) = A. [back_rewrite(738),rewrite([25256(1)])].
% 20.93/21.28 27515 multiply(sk_c8,A) = A. [back_rewrite(1),rewrite([25256(1)])].
% 20.93/21.28 27520 sk_c7 != sk_c8. [factor(25535,c,e),rewrite([27511(1),27515(3),27512(9),27511(8),18674(12),27511(11),18674(13),27511(12),27512(13),27512(12)]),xx(c),xx(d),merge(b)].
% 20.93/21.28 27578 $F. [back_rewrite(25482),rewrite([27511(4),27515(6)]),merge(b),unit_del(a,27520)].
% 20.93/21.28
% 20.93/21.28 % SZS output end Refutation
% 20.93/21.28 ============================== end of proof ==========================
% 20.93/21.28
% 20.93/21.28 ============================== STATISTICS ============================
% 20.93/21.28
% 20.93/21.28 Given=3074. Generated=911116. Kept=27577. proofs=1.
% 20.93/21.28 Usable=567. Sos=3118. Demods=24. Limbo=67, Disabled=23859. Hints=0.
% 20.93/21.28 Megabytes=24.72.
% 20.93/21.28 User_CPU=19.75, System_CPU=0.50, Wall_clock=20.
% 20.93/21.28
% 20.93/21.28 ============================== end of statistics =====================
% 20.93/21.28
% 20.93/21.28 ============================== end of search =========================
% 20.93/21.28
% 20.93/21.28 THEOREM PROVED
% 20.93/21.28 % SZS status Unsatisfiable
% 20.93/21.28
% 20.93/21.28 Exiting with 1 proof.
% 20.93/21.28
% 20.93/21.28 Process 2018 exit (max_proofs) Mon Jun 13 13:41:14 2022
% 20.93/21.28 Prover9 interrupted
%------------------------------------------------------------------------------