TSTP Solution File: GRP328-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 11:18:38 EDT 2022
% Result : Unsatisfiable 22.39s 22.68s
% Output : Refutation 22.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n023.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 10:47:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 22.39/22.68 ============================== Prover9 ===============================
% 22.39/22.68 Prover9 (32) version 2009-11A, November 2009.
% 22.39/22.68 Process 21092 was started by sandbox on n023.cluster.edu,
% 22.39/22.68 Mon Jun 13 10:47:07 2022
% 22.39/22.68 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20939_n023.cluster.edu".
% 22.39/22.68 ============================== end of head ===========================
% 22.39/22.68
% 22.39/22.68 ============================== INPUT =================================
% 22.39/22.68
% 22.39/22.68 % Reading from file /tmp/Prover9_20939_n023.cluster.edu
% 22.39/22.68
% 22.39/22.68 set(prolog_style_variables).
% 22.39/22.68 set(auto2).
% 22.39/22.68 % set(auto2) -> set(auto).
% 22.39/22.68 % set(auto) -> set(auto_inference).
% 22.39/22.68 % set(auto) -> set(auto_setup).
% 22.39/22.68 % set(auto_setup) -> set(predicate_elim).
% 22.39/22.68 % set(auto_setup) -> assign(eq_defs, unfold).
% 22.39/22.68 % set(auto) -> set(auto_limits).
% 22.39/22.68 % set(auto_limits) -> assign(max_weight, "100.000").
% 22.39/22.68 % set(auto_limits) -> assign(sos_limit, 20000).
% 22.39/22.68 % set(auto) -> set(auto_denials).
% 22.39/22.68 % set(auto) -> set(auto_process).
% 22.39/22.68 % set(auto2) -> assign(new_constants, 1).
% 22.39/22.68 % set(auto2) -> assign(fold_denial_max, 3).
% 22.39/22.68 % set(auto2) -> assign(max_weight, "200.000").
% 22.39/22.68 % set(auto2) -> assign(max_hours, 1).
% 22.39/22.68 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 22.39/22.68 % set(auto2) -> assign(max_seconds, 0).
% 22.39/22.68 % set(auto2) -> assign(max_minutes, 5).
% 22.39/22.68 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 22.39/22.68 % set(auto2) -> set(sort_initial_sos).
% 22.39/22.68 % set(auto2) -> assign(sos_limit, -1).
% 22.39/22.68 % set(auto2) -> assign(lrs_ticks, 3000).
% 22.39/22.68 % set(auto2) -> assign(max_megs, 400).
% 22.39/22.68 % set(auto2) -> assign(stats, some).
% 22.39/22.68 % set(auto2) -> clear(echo_input).
% 22.39/22.68 % set(auto2) -> set(quiet).
% 22.39/22.68 % set(auto2) -> clear(print_initial_clauses).
% 22.39/22.68 % set(auto2) -> clear(print_given).
% 22.39/22.68 assign(lrs_ticks,-1).
% 22.39/22.68 assign(sos_limit,10000).
% 22.39/22.68 assign(order,kbo).
% 22.39/22.68 set(lex_order_vars).
% 22.39/22.68 clear(print_given).
% 22.39/22.68
% 22.39/22.68 % formulas(sos). % not echoed (34 formulas)
% 22.39/22.68
% 22.39/22.68 ============================== end of input ==========================
% 22.39/22.68
% 22.39/22.68 % From the command line: assign(max_seconds, 300).
% 22.39/22.68
% 22.39/22.68 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 22.39/22.68
% 22.39/22.68 % Formulas that are not ordinary clauses:
% 22.39/22.68
% 22.39/22.68 ============================== end of process non-clausal formulas ===
% 22.39/22.68
% 22.39/22.68 ============================== PROCESS INITIAL CLAUSES ===============
% 22.39/22.68
% 22.39/22.68 ============================== PREDICATE ELIMINATION =================
% 22.39/22.68
% 22.39/22.68 ============================== end predicate elimination =============
% 22.39/22.68
% 22.39/22.68 Auto_denials: (non-Horn, no changes).
% 22.39/22.68
% 22.39/22.68 Term ordering decisions:
% 22.39/22.68
% 22.39/22.68 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 22.39/22.68 Function symbol KB weights: sk_c8=1. sk_c7=1. sk_c6=1. sk_c4=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. identity=1. multiply=1. inverse=0.
% 22.39/22.68
% 22.39/22.68 ============================== end of process initial clauses ========
% 22.39/22.68
% 22.39/22.68 ============================== CLAUSES FOR SEARCH ====================
% 22.39/22.68
% 22.39/22.68 ============================== end of clauses for search =============
% 22.39/22.68
% 22.39/22.68 ============================== SEARCH ================================
% 22.39/22.68
% 22.39/22.68 % Starting search at 0.02 seconds.
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=38.000, iters=3453
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=37.000, iters=3393
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=36.000, iters=3348
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=35.000, iters=3355
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=34.000, iters=3336
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=33.000, iters=3362
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=32.000, iters=3357
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=31.000, iters=3385
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=30.000, iters=3415
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=29.000, iters=3385
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=28.000, iters=3340
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=27.000, iters=3354
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=26.000, iters=3379
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=25.000, iters=3354
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=24.000, iters=3364
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=17.000, iters=3337
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=16.000, iters=3336
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=15.000, iters=3357
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=14.000, iters=3336
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=13.000, iters=3337
% 22.39/22.68
% 22.39/22.68 Low Water (keep): wt=12.000, iters=3346
% 22.39/22.68
% 22.39/22.68 ============================== PROOF =================================
% 22.39/22.68 % SZS status Unsatisfiable
% 22.39/22.68 % SZS output start Refutation
% 22.39/22.68
% 22.39/22.68 % Proof 1 at 20.99 (+ 0.62) seconds.
% 22.39/22.68 % Length of proof is 111.
% 22.39/22.68 % Level of proof is 31.
% 22.39/22.68 % Maximum clause weight is 51.000.
% 22.39/22.68 % Given clauses 3353.
% 22.39/22.68
% 22.39/22.68 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 22.39/22.68 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 22.39/22.68 3 inverse(sk_c1) = sk_c7 | inverse(sk_c8) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 22.39/22.68 4 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c8 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 22.39/22.68 5 inverse(sk_c2) = sk_c8 | inverse(sk_c8) = sk_c6 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 22.39/22.68 7 multiply(sk_c7,sk_c8) = sk_c6 | inverse(sk_c8) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 22.39/22.68 9 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c8) = sk_c6 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 22.39/22.68 10 multiply(sk_c1,sk_c7) = sk_c8 | inverse(sk_c4) = sk_c8 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 22.39/22.68 11 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c6) = sk_c8 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 22.39/22.68 12 inverse(sk_c1) = sk_c7 | multiply(sk_c8,sk_c5) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 22.39/22.68 13 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c8) = sk_c5 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 22.39/22.68 14 multiply(sk_c8,sk_c3) = sk_c7 | inverse(sk_c8) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 22.39/22.68 16 multiply(sk_c2,sk_c8) = sk_c3 | inverse(sk_c8) = sk_c6 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 22.39/22.68 21 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c7,sk_c6) = sk_c8 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 22.39/22.68 24 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c7,sk_c6) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 22.39/22.68 25 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c8,sk_c5) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 22.39/22.68 26 multiply(sk_c1,sk_c7) = sk_c8 | multiply(sk_c4,sk_c8) = sk_c5 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 22.39/22.68 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 22.39/22.68 34 multiply(sk_c7,sk_c8) != sk_c6 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6 | multiply(sk_c8,D) != sk_c7 | multiply(E,sk_c8) != D | inverse(E) != sk_c8 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 22.39/22.68 37 multiply(sk_c7,sk_c8) != sk_c6 | multiply(A,sk_c7) != sk_c8 | inverse(A) != sk_c7 | multiply(sk_c8,B) != sk_c7 | multiply(C,sk_c8) != B | inverse(C) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [factor(34,e,j),merge(i),merge(j)].
% 22.39/22.68 39 inverse(sk_c8) = sk_c6 | multiply(sk_c7,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 22.39/22.68 41 inverse(sk_c8) = sk_c6 | multiply(sk_c8,sk_c2) = identity. [para(5(a,1),2(a,1,1))].
% 22.39/22.68 43 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 22.39/22.68 49 inverse(sk_c8) = sk_c6 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c8). [para(9(a,1),33(a,2,2)),rewrite([33(8)])].
% 22.39/22.68 54 inverse(sk_c1) = sk_c7 | multiply(sk_c8,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(12(b,1),33(a,1,1)),flip(b)].
% 22.39/22.68 56 inverse(sk_c1) = sk_c7 | multiply(sk_c4,multiply(sk_c8,A)) = multiply(sk_c5,A). [para(13(b,1),33(a,1,1)),flip(b)].
% 22.39/22.68 59 inverse(sk_c8) = sk_c6 | multiply(A,multiply(sk_c8,sk_c3)) = multiply(A,sk_c7). [para(14(a,1),33(a,2,2)),rewrite([33(8)])].
% 22.39/22.68 63 inverse(sk_c8) = sk_c6 | multiply(A,multiply(sk_c2,sk_c8)) = multiply(A,sk_c3). [para(16(a,1),33(a,2,2)),rewrite([33(8)])].
% 22.39/22.68 72 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c7,multiply(sk_c6,A)) = multiply(sk_c8,A). [para(21(b,1),33(a,1,1)),flip(b)].
% 22.39/22.68 73 multiply(sk_c7,sk_c8) = sk_c6 | multiply(A,multiply(sk_c7,sk_c6)) = multiply(A,sk_c8). [para(21(b,1),33(a,2,2)),rewrite([33(9)])].
% 22.39/22.68 118 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | inverse(inverse(sk_c7)) != sk_c7 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(2(a,1),37(b,1))].
% 22.39/22.68 140 inverse(sk_c8) = sk_c6 | multiply(A,multiply(sk_c7,sk_c1)) = multiply(A,identity). [para(39(b,1),33(a,2,2)),rewrite([33(8)])].
% 22.39/22.68 160 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),43(a,1,2))].
% 22.39/22.68 191 inverse(sk_c8) = sk_c6 | multiply(inverse(sk_c7),identity) = sk_c1. [para(39(b,1),43(a,1,2))].
% 22.39/22.68 192 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(43(a,1),43(a,1,2))].
% 22.39/22.68 193 multiply(A,identity) = A. [back_rewrite(160),rewrite([192(4)])].
% 22.39/22.68 194 inverse(sk_c8) = sk_c6 | inverse(sk_c7) = sk_c1. [back_rewrite(191),rewrite([193(8)])].
% 22.39/22.68 195 inverse(sk_c8) = sk_c6 | multiply(A,multiply(sk_c7,sk_c1)) = A. [back_rewrite(140),rewrite([193(10)])].
% 22.39/22.68 197 inverse(identity) = identity. [para(193(a,1),2(a,1))].
% 22.39/22.68 218 inverse(sk_c8) = sk_c6 | multiply(sk_c1,sk_c7) = identity. [para(194(b,1),2(a,1,1))].
% 22.39/22.68 237 inverse(sk_c8) = sk_c6 | inverse(sk_c8) = sk_c2. [para(41(b,1),43(a,1,2)),rewrite([193(8)])].
% 22.39/22.68 238 inverse(sk_c8) = sk_c6 | multiply(sk_c2,sk_c8) = identity. [para(237(b,1),2(a,1,1))].
% 22.39/22.68 262 multiply(A,inverse(A)) = identity. [para(192(a,1),2(a,1))].
% 22.39/22.68 270 multiply(A,multiply(inverse(A),B)) = B. [para(192(a,1),43(a,1))].
% 22.39/22.68 271 inverse(inverse(A)) = A. [para(192(a,1),193(a,1)),rewrite([193(2)]),flip(a)].
% 22.39/22.68 302 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | multiply(sk_c8,A) != sk_c7 | multiply(B,sk_c8) != A | inverse(B) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [back_rewrite(118),rewrite([271(11)]),xx(c)].
% 22.39/22.68 305 inverse(sk_c4) = sk_c8 | multiply(sk_c1,sk_c7) = identity. [para(4(a,1),262(a,1,2))].
% 22.39/22.68 307 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(262(a,1),33(a,1)),flip(a)].
% 22.39/22.68 478 inverse(sk_c8) = sk_c6 | multiply(sk_c7,multiply(sk_c1,sk_c7)) = sk_c6. [para(7(a,1),49(b,2)),merge(b)].
% 22.39/22.68 483 inverse(sk_c8) = sk_c6 | multiply(A,sk_c8) = A. [para(218(b,1),49(b,1,2)),rewrite([193(10)]),flip(c),merge(b)].
% 22.39/22.68 507 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,sk_c8) != inverse(sk_c8) | inverse(A) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(262(a,1),302(c,1))].
% 22.39/22.68 541 inverse(sk_c4) = sk_c8 | identity = sk_c8. [para(305(b,1),10(a,1)),merge(c)].
% 22.39/22.68 544 identity = sk_c8 | multiply(sk_c8,sk_c4) = identity. [para(541(a,1),2(a,1,1))].
% 22.39/22.68 547 identity = sk_c8 | multiply(sk_c4,sk_c8) = identity. [para(541(a,1),262(a,1,2))].
% 22.39/22.68 594 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,multiply(B,sk_c8)) != inverse(sk_c8) | inverse(multiply(A,B)) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(33(a,1),507(d,1))].
% 22.39/22.68 704 identity = sk_c8 | multiply(A,multiply(sk_c4,sk_c8)) = A. [para(547(b,1),33(a,2,2)),rewrite([33(7),193(9)])].
% 22.39/22.68 988 inverse(sk_c1) = sk_c7 | multiply(sk_c8,multiply(sk_c5,sk_c6)) = sk_c8. [para(11(b,1),54(b,2)),merge(b)].
% 22.39/22.68 1242 inverse(sk_c1) = sk_c7 | multiply(sk_c5,inverse(sk_c8)) = sk_c4. [para(262(a,1),56(b,1,2)),rewrite([193(7)]),flip(b)].
% 22.39/22.68 1282 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,multiply(B,multiply(C,sk_c8))) != inverse(sk_c8) | inverse(multiply(A,multiply(B,C))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(33(a,1),594(d,1,2))].
% 22.39/22.68 1688 inverse(sk_c8) = sk_c6 | inverse(sk_c8) = identity. [para(483(b,1),2(a,1))].
% 22.39/22.68 2180 inverse(sk_c8) = sk_c6 | multiply(sk_c8,A) = A. [para(1688(b,1),43(a,1,1)),rewrite([1(8)])].
% 22.39/22.68 2583 inverse(sk_c8) = sk_c6 | multiply(A,sk_c3) = A. [para(238(b,1),63(b,1,2)),rewrite([193(10)]),flip(c),merge(b)].
% 22.39/22.68 4594 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c7,multiply(sk_c6,inverse(sk_c8))) = identity. [para(262(a,1),72(b,2))].
% 22.39/22.68 4751 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c7,multiply(sk_c6,sk_c8)) = multiply(sk_c8,multiply(sk_c7,sk_c6)). [para(73(b,1),72(b,1,2)),merge(b)].
% 22.39/22.68 4964 inverse(sk_c8) = sk_c6 | multiply(inverse(sk_c8),A) = A. [para(2180(b,1),43(a,1,2))].
% 22.39/22.68 6371 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | inverse(sk_c8) != A | inverse(multiply(A,multiply(inverse(multiply(B,sk_c8)),B))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(2(a,1),1282(d,1,2)),rewrite([193(13)]),flip(d)].
% 22.39/22.68 6536 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,B) != inverse(sk_c8) | inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,sk_c8)),C)))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(33(a,1),6371(e,1,1)),flip(d)].
% 22.39/22.68 7094 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(307(a,1),43(a,1,2)),rewrite([193(3)]),flip(a)].
% 22.39/22.68 7235 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(7094(a,1),43(a,1,2)),flip(a)].
% 22.39/22.68 7379 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,B) != inverse(sk_c8) | multiply(sk_c8,multiply(inverse(B),inverse(A))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [back_rewrite(6536),rewrite([7235(18),33(20),2(19),193(19),7235(20),7235(19),271(18),33(20)])].
% 22.39/22.68 9384 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,inverse(B)) != inverse(sk_c8) | multiply(sk_c8,multiply(B,inverse(A))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(271(a,1),7379(e,1,2,1))].
% 22.39/22.68 9402 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(inverse(A),inverse(B)) != inverse(sk_c8) | multiply(sk_c8,multiply(B,A)) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(271(a,1),9384(e,1,2,2))].
% 22.39/22.68 9433 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(inverse(A),multiply(inverse(B),inverse(C))) != inverse(sk_c8) | multiply(sk_c8,multiply(C,multiply(B,A))) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(33(a,1),9402(e,1,2)),rewrite([7235(14)])].
% 22.39/22.68 9809 inverse(sk_c8) = sk_c6 | inverse(sk_c8) = sk_c3. [para(4964(b,1),2583(b,1)),flip(c),merge(b)].
% 22.39/22.68 9828 inverse(sk_c8) = sk_c6 | multiply(sk_c8,sk_c3) = identity. [para(9809(b,1),262(a,1,2))].
% 22.39/22.68 9866 inverse(sk_c8) = sk_c6 | multiply(A,sk_c7) = A. [para(9828(b,1),59(b,1,2)),rewrite([193(10)]),flip(c),merge(b)].
% 22.39/22.68 11936 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(inverse(A),multiply(inverse(B),sk_c8)) != inverse(sk_c8) | multiply(B,A) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [para(270(a,1),9433(e,1)),rewrite([271(16)])].
% 22.39/22.68 11937 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(inverse(sk_c6),multiply(inverse(sk_c7),sk_c8)) != inverse(sk_c8) | multiply(sk_c7,sk_c6) != sk_c8 | inverse(sk_c8) != sk_c6. [factor(11936,e,f)].
% 22.39/22.68 13960 inverse(sk_c8) = sk_c6 | multiply(sk_c7,sk_c1) = sk_c6. [para(9866(b,1),478(b,1,2)),merge(b)].
% 22.39/22.68 14779 inverse(sk_c8) = sk_c6 | multiply(A,sk_c6) = A. [para(13960(b,1),195(b,1,2)),merge(b)].
% 22.39/22.68 15125 inverse(sk_c8) = sk_c6. [para(14779(b,1),4964(b,1)),merge(b),merge(c)].
% 22.39/22.68 16225 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(inverse(sk_c6),multiply(inverse(sk_c7),sk_c8)) != sk_c6 | multiply(sk_c7,sk_c6) != sk_c8. [back_rewrite(11937),rewrite([15125(20),15125(27)]),xx(f)].
% 22.39/22.68 17384 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c7,multiply(sk_c6,sk_c6)) = identity. [back_rewrite(4594),rewrite([15125(9)])].
% 22.39/22.68 17881 inverse(sk_c1) = sk_c7 | multiply(sk_c5,sk_c6) = sk_c4. [back_rewrite(1242),rewrite([15125(7)])].
% 22.39/22.68 18065 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(A,sk_c8) != sk_c6 | inverse(A) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8. [back_rewrite(507),rewrite([15125(15),15125(25)]),xx(g)].
% 22.39/22.68 18264 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | inverse(sk_c7) != sk_c8 | multiply(sk_c7,sk_c6) != sk_c8. [factor(18065,a,d)].
% 22.39/22.68 18266 multiply(sk_c6,sk_c8) = identity. [para(15125(a,1),2(a,1,1))].
% 22.39/22.68 18268 inverse(sk_c6) = sk_c8. [para(15125(a,1),271(a,1,1))].
% 22.39/22.68 18269 multiply(sk_c8,sk_c6) = identity. [para(15125(a,1),262(a,1,2))].
% 22.39/22.68 18270 multiply(sk_c8,multiply(sk_c6,A)) = A. [para(15125(a,1),270(a,1,2,1))].
% 22.39/22.68 18279 multiply(sk_c7,sk_c8) = sk_c6 | multiply(sk_c8,multiply(sk_c7,sk_c6)) = sk_c7. [back_rewrite(4751),rewrite([18266(9),193(8)]),flip(b)].
% 22.39/22.68 18315 multiply(sk_c7,sk_c8) != sk_c6 | identity != sk_c8 | identity != sk_c7 | multiply(sk_c8,multiply(inverse(sk_c7),sk_c8)) != sk_c6 | multiply(sk_c7,sk_c6) != sk_c8. [back_rewrite(16225),rewrite([18268(13)])].
% 22.39/22.68 20333 inverse(sk_c1) = sk_c7 | multiply(sk_c8,sk_c4) = sk_c8. [para(17881(b,1),988(b,1,2)),merge(b)].
% 22.39/22.68 20607 inverse(sk_c1) = sk_c7 | identity = sk_c8. [para(20333(b,1),544(b,1)),flip(c),merge(c)].
% 22.39/22.68 20624 identity = sk_c8 | multiply(sk_c1,sk_c7) = identity. [para(20607(a,1),262(a,1,2))].
% 22.39/22.68 20629 identity = sk_c8 | multiply(sk_c7,sk_c6) = sk_c8. [para(20624(b,1),24(a,1)),merge(b)].
% 22.39/22.68 20630 identity = sk_c8 | multiply(sk_c8,sk_c5) = sk_c7. [para(20624(b,1),25(a,1)),merge(b)].
% 22.39/22.68 20631 identity = sk_c8 | multiply(sk_c4,sk_c8) = sk_c5. [para(20624(b,1),26(a,1)),merge(b)].
% 22.39/22.68 20647 identity = sk_c8 | multiply(A,sk_c5) = A. [para(20631(b,1),704(b,1,2)),merge(b)].
% 22.39/22.68 21131 identity = sk_c8 | sk_c7 = sk_c8. [para(20647(b,1),20630(b,1)),flip(c),merge(b)].
% 22.39/22.68 21133 sk_c7 = sk_c8 | multiply(A,sk_c8) = A. [para(21131(a,1),193(a,1,2))].
% 22.39/22.68 21134 sk_c7 = sk_c8 | identity = sk_c6. [para(21131(a,1),197(a,1,1)),rewrite([15125(5)]),flip(b)].
% 22.39/22.68 21170 sk_c7 = sk_c8 | sk_c6 = sk_c8. [para(21134(b,1),21131(a,1)),merge(c)].
% 22.39/22.68 21668 sk_c7 = sk_c8 | multiply(sk_c7,sk_c8) = sk_c6. [para(21133(b,1),72(b,2)),rewrite([18266(12),193(11)]),merge(c)].
% 22.39/22.68 21760 sk_c7 = sk_c8 | sk_c6 = sk_c7. [para(21668(b,1),21133(b,1)),merge(b)].
% 22.39/22.68 21769 sk_c7 = sk_c8. [para(21760(b,1),21170(b,1)),merge(b),merge(c)].
% 22.39/22.68 21812 identity = sk_c8. [back_rewrite(20629),rewrite([21769(4),18269(6)]),merge(b)].
% 22.39/22.68 22127 multiply(sk_c8,sk_c8) != sk_c6. [back_rewrite(18315),rewrite([21769(1),21812(6),21812(9),21769(10),21769(13),15125(14),18266(15),21812(13),21769(17),18269(19),21812(17)]),xx(b),xx(c),xx(e),merge(b)].
% 22.39/22.68 22131 multiply(sk_c8,sk_c8) = sk_c8. [back_rewrite(18279),rewrite([21769(1),21769(7),18269(9),21812(7),21769(9)]),unit_del(a,22127)].
% 22.39/22.68 22135 sk_c6 != sk_c8. [back_rewrite(18264),rewrite([21769(1),22131(3),21812(4),21812(7),21769(8),21769(10),15125(11),21769(13),18269(15),21812(13)]),flip(a),xx(b),xx(c),xx(e),merge(b)].
% 22.39/22.68 22140 $F. [back_rewrite(17384),rewrite([21769(1),22131(3),21769(4),18270(8),21812(5)]),flip(a),merge(b),unit_del(a,22135)].
% 22.39/22.68
% 22.39/22.68 % SZS output end Refutation
% 22.39/22.68 ============================== end of proof ==========================
% 22.39/22.68
% 22.39/22.68 ============================== STATISTICS ============================
% 22.39/22.68
% 22.39/22.68 Given=3353. Generated=1100906. Kept=22139. proofs=1.
% 22.39/22.68 Usable=1093. Sos=4777. Demods=22. Limbo=371, Disabled=15932. Hints=0.
% 22.39/22.68 Megabytes=18.43.
% 22.39/22.68 User_CPU=20.99, System_CPU=0.62, Wall_clock=21.
% 22.39/22.68
% 22.39/22.68 ============================== end of statistics =====================
% 22.39/22.68
% 22.39/22.68 ============================== end of search =========================
% 22.39/22.68
% 22.39/22.68 THEOREM PROVED
% 22.39/22.68 % SZS status Unsatisfiable
% 22.39/22.68
% 22.39/22.68 Exiting with 1 proof.
% 22.39/22.68
% 22.39/22.68 Process 21092 exit (max_proofs) Mon Jun 13 10:47:28 2022
% 22.39/22.68 Prover9 interrupted
%------------------------------------------------------------------------------