TSTP Solution File: GRP361-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP361-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 11:18:46 EDT 2022
% Result : Unsatisfiable 9.93s 10.28s
% Output : Refutation 9.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP361-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 08:01:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.93/10.28 ============================== Prover9 ===============================
% 9.93/10.28 Prover9 (32) version 2009-11A, November 2009.
% 9.93/10.28 Process 2812 was started by sandbox2 on n024.cluster.edu,
% 9.93/10.28 Mon Jun 13 08:01:49 2022
% 9.93/10.28 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2658_n024.cluster.edu".
% 9.93/10.28 ============================== end of head ===========================
% 9.93/10.28
% 9.93/10.28 ============================== INPUT =================================
% 9.93/10.28
% 9.93/10.28 % Reading from file /tmp/Prover9_2658_n024.cluster.edu
% 9.93/10.28
% 9.93/10.28 set(prolog_style_variables).
% 9.93/10.28 set(auto2).
% 9.93/10.28 % set(auto2) -> set(auto).
% 9.93/10.28 % set(auto) -> set(auto_inference).
% 9.93/10.28 % set(auto) -> set(auto_setup).
% 9.93/10.28 % set(auto_setup) -> set(predicate_elim).
% 9.93/10.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 9.93/10.28 % set(auto) -> set(auto_limits).
% 9.93/10.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 9.93/10.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 9.93/10.28 % set(auto) -> set(auto_denials).
% 9.93/10.28 % set(auto) -> set(auto_process).
% 9.93/10.28 % set(auto2) -> assign(new_constants, 1).
% 9.93/10.28 % set(auto2) -> assign(fold_denial_max, 3).
% 9.93/10.28 % set(auto2) -> assign(max_weight, "200.000").
% 9.93/10.28 % set(auto2) -> assign(max_hours, 1).
% 9.93/10.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 9.93/10.28 % set(auto2) -> assign(max_seconds, 0).
% 9.93/10.28 % set(auto2) -> assign(max_minutes, 5).
% 9.93/10.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 9.93/10.28 % set(auto2) -> set(sort_initial_sos).
% 9.93/10.28 % set(auto2) -> assign(sos_limit, -1).
% 9.93/10.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 9.93/10.28 % set(auto2) -> assign(max_megs, 400).
% 9.93/10.28 % set(auto2) -> assign(stats, some).
% 9.93/10.28 % set(auto2) -> clear(echo_input).
% 9.93/10.28 % set(auto2) -> set(quiet).
% 9.93/10.28 % set(auto2) -> clear(print_initial_clauses).
% 9.93/10.28 % set(auto2) -> clear(print_given).
% 9.93/10.28 assign(lrs_ticks,-1).
% 9.93/10.28 assign(sos_limit,10000).
% 9.93/10.28 assign(order,kbo).
% 9.93/10.28 set(lex_order_vars).
% 9.93/10.28 clear(print_given).
% 9.93/10.28
% 9.93/10.28 % formulas(sos). % not echoed (34 formulas)
% 9.93/10.28
% 9.93/10.28 ============================== end of input ==========================
% 9.93/10.28
% 9.93/10.28 % From the command line: assign(max_seconds, 300).
% 9.93/10.28
% 9.93/10.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 9.93/10.28
% 9.93/10.28 % Formulas that are not ordinary clauses:
% 9.93/10.28
% 9.93/10.28 ============================== end of process non-clausal formulas ===
% 9.93/10.28
% 9.93/10.28 ============================== PROCESS INITIAL CLAUSES ===============
% 9.93/10.28
% 9.93/10.28 ============================== PREDICATE ELIMINATION =================
% 9.93/10.28
% 9.93/10.28 ============================== end predicate elimination =============
% 9.93/10.28
% 9.93/10.28 Auto_denials: (non-Horn, no changes).
% 9.93/10.28
% 9.93/10.28 Term ordering decisions:
% 9.93/10.28
% 9.93/10.28 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 9.93/10.28 Function symbol KB weights: sk_c7=1. sk_c5=1. sk_c6=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 9.93/10.28
% 9.93/10.28 ============================== end of process initial clauses ========
% 9.93/10.28
% 9.93/10.28 ============================== CLAUSES FOR SEARCH ====================
% 9.93/10.28
% 9.93/10.28 ============================== end of clauses for search =============
% 9.93/10.28
% 9.93/10.28 ============================== SEARCH ================================
% 9.93/10.28
% 9.93/10.28 % Starting search at 0.02 seconds.
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=52.000, iters=3560
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=48.000, iters=3353
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=47.000, iters=3380
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=46.000, iters=3348
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=45.000, iters=3341
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=44.000, iters=3371
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=43.000, iters=3340
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=42.000, iters=3348
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=41.000, iters=3370
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=40.000, iters=3418
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=39.000, iters=3353
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=38.000, iters=3360
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=37.000, iters=3400
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=36.000, iters=3349
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=35.000, iters=3363
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=34.000, iters=3395
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=33.000, iters=3440
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=29.000, iters=3371
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=16.000, iters=3334
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=15.000, iters=3339
% 9.93/10.28
% 9.93/10.28 Low Water (keep): wt=14.000, iters=3699
% 9.93/10.28
% 9.93/10.28 ============================== PROOF =================================
% 9.93/10.28 % SZS status Unsatisfiable
% 9.93/10.28 % SZS output start Refutation
% 9.93/10.28
% 9.93/10.28 % Proof 1 at 9.11 (+ 0.20) seconds.
% 9.93/10.28 % Length of proof is 184.
% 9.93/10.28 % Level of proof is 31.
% 9.93/10.28 % Maximum clause weight is 51.000.
% 9.93/10.28 % Given clauses 2148.
% 9.93/10.28
% 9.93/10.28 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 9.93/10.28 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 9.93/10.28 3 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 9.93/10.28 4 inverse(sk_c7) = sk_c5 | inverse(sk_c4) = sk_c5 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 9.93/10.28 5 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 9.93/10.28 6 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c5 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 9.93/10.28 9 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_7) # label(negated_conjecture). [assumption].
% 9.93/10.28 10 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 9.93/10.28 11 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 9.93/10.28 12 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c5) = sk_c7 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 9.93/10.28 14 multiply(sk_c7,sk_c2) = sk_c6 | inverse(sk_c4) = sk_c5 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 9.93/10.28 16 multiply(sk_c1,sk_c7) = sk_c2 | inverse(sk_c4) = sk_c5 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 9.93/10.28 18 inverse(sk_c1) = sk_c7 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 9.93/10.28 19 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 9.93/10.28 20 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c5) = sk_c7 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 9.93/10.28 21 multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 9.93/10.28 22 multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 9.93/10.28 25 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 9.93/10.28 26 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 9.93/10.28 28 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c4,sk_c5) = sk_c7 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 9.93/10.28 30 multiply(sk_c1,sk_c7) = sk_c2 | multiply(sk_c5,sk_c7) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 9.93/10.28 32 multiply(sk_c1,sk_c7) = sk_c2 | multiply(sk_c4,sk_c5) = sk_c7 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 9.93/10.28 33 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 9.93/10.28 34 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | multiply(sk_c7,A) != sk_c6 | multiply(B,sk_c7) != A | inverse(B) != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(C) != sk_c7 | multiply(C,sk_c6) != sk_c7 | multiply(D,sk_c5) != sk_c7 | inverse(D) != sk_c5 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 9.93/10.28 52 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c3) = identity. [para(3(b,1),2(a,1,1))].
% 9.93/10.28 53 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 9.93/10.28 56 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),33(a,1,1)),rewrite([1(2)]),flip(a)].
% 9.93/10.28 61 inverse(sk_c7) = sk_c5 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(9(b,1),33(a,1,1)),flip(b)].
% 9.93/10.28 63 inverse(sk_c7) = sk_c5 | multiply(sk_c5,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(10(b,1),33(a,1,1)),flip(b)].
% 9.93/10.28 65 inverse(sk_c7) = sk_c5 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(11(b,1),33(a,1,1)),flip(b)].
% 9.93/10.28 68 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c4,sk_c5)) = multiply(A,sk_c7). [para(12(b,1),33(a,2,2)),rewrite([33(8)])].
% 9.93/10.28 71 inverse(sk_c4) = sk_c5 | multiply(sk_c7,multiply(sk_c2,A)) = multiply(sk_c6,A). [para(14(a,1),33(a,1,1)),flip(b)].
% 9.93/10.28 75 inverse(sk_c4) = sk_c5 | multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c2,A). [para(16(a,1),33(a,1,1)),flip(b)].
% 9.93/10.28 84 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c4,sk_c5)) = multiply(A,sk_c7). [para(20(b,1),33(a,2,2)),rewrite([33(8)])].
% 9.93/10.28 87 multiply(sk_c5,sk_c7) = sk_c6 | multiply(sk_c6,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(22(a,1),33(a,1,1)),flip(b)].
% 9.93/10.28 95 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c5,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(26(b,1),33(a,1,1)),flip(b)].
% 9.93/10.28 99 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(28(b,1),33(a,1,1)),flip(b)].
% 9.93/10.28 104 multiply(sk_c5,sk_c7) = sk_c6 | multiply(A,multiply(sk_c1,sk_c7)) = multiply(A,sk_c2). [para(30(a,1),33(a,2,2)),rewrite([33(9)])].
% 9.93/10.28 116 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | multiply(sk_c7,identity) != sk_c6 | inverse(inverse(sk_c7)) != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [resolve(34,d,2,a)].
% 9.93/10.28 349 inverse(sk_c7) = sk_c5 | multiply(sk_c7,multiply(sk_c3,A)) = A. [para(52(b,1),33(a,1,1)),rewrite([1(6)]),flip(b)].
% 9.93/10.28 350 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c7,sk_c3)) = multiply(A,identity). [para(52(b,1),33(a,2,2)),rewrite([33(8)])].
% 9.93/10.28 360 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),56(a,1,2))].
% 9.93/10.28 367 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = sk_c7. [para(10(b,1),56(a,1,2))].
% 9.93/10.28 368 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(11(b,1),56(a,1,2))].
% 9.93/10.28 376 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c3),sk_c7) = sk_c6. [para(19(b,1),56(a,1,2))].
% 9.93/10.28 378 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c6),sk_c7) = sk_c5. [para(21(a,1),56(a,1,2))].
% 9.93/10.28 379 multiply(sk_c5,sk_c7) = sk_c6 | multiply(inverse(sk_c6),sk_c7) = sk_c5. [para(22(a,1),56(a,1,2))].
% 9.93/10.28 391 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),identity) = sk_c3. [para(52(b,1),56(a,1,2))].
% 9.93/10.28 392 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(56(a,1),56(a,1,2))].
% 9.93/10.28 393 multiply(A,identity) = A. [back_rewrite(360),rewrite([392(4)])].
% 9.93/10.28 394 inverse(sk_c7) = sk_c5 | inverse(sk_c7) = sk_c3. [back_rewrite(391),rewrite([393(8)])].
% 9.93/10.28 395 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c7,sk_c3)) = A. [back_rewrite(350),rewrite([393(10)])].
% 9.93/10.28 401 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | inverse(inverse(sk_c7)) != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [back_rewrite(116),rewrite([393(12)]),flip(c)].
% 9.93/10.28 402 inverse(identity) = identity. [para(393(a,1),2(a,1))].
% 9.93/10.28 438 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c7) = identity. [para(394(b,1),2(a,1,1))].
% 9.93/10.28 441 inverse(sk_c7) = sk_c5 | inverse(sk_c5) = sk_c4. [para(53(b,1),56(a,1,2)),rewrite([393(8)])].
% 9.93/10.28 444 inverse(sk_c7) = sk_c5 | multiply(sk_c4,sk_c5) = identity. [para(441(b,1),2(a,1,1))].
% 9.93/10.28 484 multiply(A,inverse(A)) = identity. [para(392(a,1),2(a,1))].
% 9.93/10.28 510 multiply(A,multiply(inverse(A),B)) = B. [para(392(a,1),56(a,1))].
% 9.93/10.28 511 inverse(inverse(A)) = A. [para(392(a,1),393(a,1)),rewrite([393(2)]),flip(a)].
% 9.93/10.28 516 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [back_rewrite(401),rewrite([511(15)]),xx(d)].
% 9.93/10.28 537 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c7) = identity. [para(5(b,1),484(a,1,2))].
% 9.93/10.28 538 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c5) = identity. [para(6(b,1),484(a,1,2))].
% 9.93/10.28 539 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(484(a,1),33(a,1)),flip(a)].
% 9.93/10.28 635 inverse(sk_c7) = sk_c5 | identity = sk_c7. [para(444(b,1),12(b,1)),merge(b)].
% 9.93/10.28 716 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c3) = sk_c6. [para(52(b,1),61(b,1,2)),rewrite([393(11)]),flip(c),merge(b)].
% 9.93/10.28 757 inverse(sk_c1) = sk_c7 | identity = sk_c7. [para(538(b,1),20(b,1)),merge(b)].
% 9.93/10.28 761 identity = sk_c7 | inverse(sk_c7) = sk_c1. [para(757(a,1),511(a,1,1))].
% 9.93/10.28 762 identity = sk_c7 | multiply(sk_c1,sk_c7) = identity. [para(757(a,1),484(a,1,2))].
% 9.93/10.28 790 identity = sk_c7 | sk_c1 = sk_c5. [para(761(b,1),635(a,1)),merge(c)].
% 9.93/10.28 803 sk_c1 = sk_c5 | inverse(sk_c7) = identity. [para(790(a,1),402(a,1,1))].
% 9.93/10.28 832 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c3) = sk_c5. [para(52(b,1),63(b,1,2)),rewrite([393(11)]),flip(c),merge(b)].
% 9.93/10.28 834 inverse(sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c7)) = sk_c5. [para(484(a,1),63(b,1,2)),rewrite([393(7)]),flip(b)].
% 9.93/10.28 872 identity = sk_c7 | multiply(A,multiply(sk_c1,sk_c7)) = A. [para(762(b,1),33(a,2,2)),rewrite([33(7),393(9)])].
% 9.93/10.28 1028 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(multiply(A,B)) != sk_c7 | multiply(A,multiply(B,sk_c6)) != sk_c7 | multiply(C,sk_c5) != sk_c7 | inverse(C) != sk_c5. [para(33(a,1),516(g,1))].
% 9.93/10.28 1150 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c5),sk_c6) = sk_c3. [para(716(b,1),56(a,1,2))].
% 9.93/10.28 1327 inverse(sk_c7) = sk_c5 | multiply(A,sk_c7) = A. [para(444(b,1),68(b,1,2)),rewrite([393(10)]),flip(c),merge(b)].
% 9.93/10.28 1361 inverse(sk_c7) = sk_c5 | identity = sk_c3. [para(1327(b,1),438(b,1)),flip(c),merge(b)].
% 9.93/10.28 1869 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c6. [para(368(b,1),1327(b,1)),flip(c),merge(b)].
% 9.93/10.28 1871 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c3) = identity. [para(1869(b,1),2(a,1,1))].
% 9.93/10.28 2142 inverse(sk_c7) = sk_c5 | identity = sk_c5. [para(1871(b,1),832(b,1)),merge(b)].
% 9.93/10.28 2162 identity = sk_c5 | sk_c1 = sk_c5. [para(2142(a,1),803(b,1)),flip(c),merge(c)].
% 9.93/10.28 2184 sk_c1 = sk_c5 | inverse(sk_c5) = identity. [para(2162(a,1),402(a,1,1))].
% 9.93/10.28 2195 sk_c1 = sk_c5 | inverse(sk_c7) = sk_c5. [para(2162(a,1),803(b,2)),merge(b)].
% 9.93/10.28 2213 inverse(sk_c4) = sk_c5 | multiply(sk_c2,sk_c2) = multiply(sk_c1,sk_c6). [para(14(a,1),75(b,1,2)),flip(c),merge(b)].
% 9.93/10.28 2216 inverse(sk_c4) = sk_c5 | multiply(sk_c2,inverse(sk_c7)) = sk_c1. [para(484(a,1),75(b,1,2)),rewrite([393(7)]),flip(b)].
% 9.93/10.28 3451 inverse(sk_c1) = sk_c7 | multiply(sk_c7,sk_c7) = sk_c6. [para(5(b,1),376(b,1,1)),merge(b)].
% 9.93/10.28 3750 inverse(sk_c1) = sk_c7 | multiply(A,sk_c7) = A. [para(538(b,1),84(b,1,2)),rewrite([393(10)]),flip(c),merge(b)].
% 9.93/10.28 4146 inverse(sk_c1) = sk_c7 | identity = sk_c3. [para(3750(b,1),537(b,1)),flip(c),merge(b)].
% 9.93/10.28 4164 inverse(sk_c1) = sk_c7 | sk_c6 = sk_c7. [para(3750(b,1),3451(b,1)),flip(c),merge(b)].
% 9.93/10.28 4371 identity = sk_c3 | inverse(sk_c7) = sk_c1. [para(4146(a,1),511(a,1,1))].
% 9.93/10.28 4376 sk_c6 = sk_c7 | multiply(sk_c7,sk_c1) = identity. [para(4164(a,1),2(a,1,1))].
% 9.93/10.28 4406 identity = sk_c3 | sk_c1 = sk_c5. [para(4371(b,1),1361(a,1)),merge(c)].
% 9.93/10.28 4461 sk_c1 = sk_c5 | inverse(sk_c5) = sk_c3. [para(4406(a,1),2184(b,2)),merge(b)].
% 9.93/10.28 4470 multiply(sk_c5,sk_c7) = sk_c6 | multiply(sk_c6,multiply(sk_c5,inverse(sk_c7))) = identity. [para(484(a,1),87(b,2))].
% 9.93/10.28 4664 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(multiply(A,inverse(sk_c6))) != sk_c7 | sk_c7 != A | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [para(2(a,1),1028(g,1,2)),rewrite([393(30)]),flip(g)].
% 9.93/10.28 4725 sk_c1 = sk_c5 | multiply(sk_c3,sk_c5) = identity. [para(4461(b,1),2(a,1,1))].
% 9.93/10.28 5474 multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c5,multiply(sk_c7,sk_c7)) = sk_c5. [para(25(b,1),95(b,2)),merge(b)].
% 9.93/10.28 6166 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(539(a,1),56(a,1,2)),rewrite([393(3)]),flip(a)].
% 9.93/10.28 6296 multiply(sk_c1,sk_c7) = sk_c2 | multiply(sk_c5,inverse(sk_c7)) = inverse(sk_c4). [para(32(b,1),6166(a,1,2,1))].
% 9.93/10.28 6306 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(6166(a,1),56(a,1,2)),flip(a)].
% 9.93/10.28 6571 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c7 != A | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [back_rewrite(4664),rewrite([6306(26),511(25)])].
% 9.93/10.28 8155 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c5) = identity. [para(834(b,1),65(b,1,2)),rewrite([484(15)]),merge(b)].
% 9.93/10.28 8158 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c5. [para(8155(b,1),56(a,1,2)),rewrite([393(8)])].
% 9.93/10.28 8160 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c3) = identity. [para(8158(b,1),2(a,1,1))].
% 9.93/10.28 8163 inverse(sk_c7) = sk_c5 | inverse(sk_c5) = sk_c3. [para(8158(b,1),511(a,1,1))].
% 9.93/10.28 8231 inverse(sk_c7) = sk_c5 | identity = sk_c6. [para(8160(b,1),716(b,1)),merge(b)].
% 9.93/10.28 8233 identity = sk_c6 | multiply(sk_c5,sk_c7) = identity. [para(8231(a,1),2(a,1,1))].
% 9.93/10.28 8248 identity = sk_c6 | inverse(sk_c1) = sk_c7. [para(8233(b,1),18(b,1)),merge(c)].
% 9.93/10.28 8249 identity = sk_c6 | multiply(sk_c7,sk_c2) = sk_c6. [para(8233(b,1),26(b,1)),merge(c)].
% 9.93/10.28 8265 identity = sk_c6 | inverse(sk_c7) = sk_c1. [para(8248(b,1),511(a,1,1))].
% 9.93/10.28 8273 identity = sk_c6 | sk_c1 = sk_c5. [para(8265(b,1),2195(b,1)),merge(c)].
% 9.93/10.28 8292 sk_c1 = sk_c5 | sk_c3 = sk_c6. [para(8273(a,1),4406(a,1)),flip(b),merge(c)].
% 9.93/10.28 8334 sk_c1 = sk_c5 | multiply(sk_c6,sk_c5) = identity. [para(8292(b,1),4725(b,1,1)),merge(b)].
% 9.93/10.28 8410 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | multiply(sk_c6,A) != sk_c7 | inverse(A) != sk_c7 | multiply(B,sk_c5) != sk_c7 | inverse(B) != sk_c5. [para(511(a,1),6571(f,1,2)),flip(g)].
% 9.93/10.28 8418 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | multiply(A,sk_c5) != sk_c7 | inverse(A) != sk_c5. [factor(8410,a,f)].
% 9.93/10.28 8436 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | multiply(A,multiply(B,sk_c5)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c5. [para(33(a,1),8418(g,1)),rewrite([6306(33)])].
% 9.93/10.28 8462 identity = sk_c6 | multiply(inverse(sk_c7),sk_c6) = sk_c2. [para(8249(b,1),56(a,1,2))].
% 9.93/10.28 8587 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | sk_c7 != A | multiply(sk_c5,inverse(A)) != sk_c5. [para(2(a,1),8436(g,1,2)),rewrite([393(28),511(31)]),flip(g)].
% 9.93/10.28 8626 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | inverse(A) != sk_c7 | multiply(sk_c5,A) != sk_c5. [para(511(a,1),8587(h,1,2)),flip(g)].
% 9.93/10.28 8629 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c7) != sk_c5 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | multiply(inverse(A),sk_c5) != sk_c7 | sk_c5 != A. [para(510(a,1),8626(h,1)),rewrite([6306(30),511(30)]),flip(h)].
% 9.93/10.28 9273 identity = sk_c6 | multiply(sk_c5,sk_c6) = sk_c2. [para(8231(a,1),8462(b,1,1)),merge(b)].
% 9.93/10.28 9274 identity = sk_c6 | multiply(sk_c1,sk_c6) = sk_c2. [para(8265(b,1),8462(b,1,1)),merge(b)].
% 9.93/10.28 9286 identity = sk_c6 | multiply(inverse(sk_c1),sk_c2) = sk_c6. [para(9274(b,1),56(a,1,2))].
% 9.93/10.28 9401 identity = sk_c6 | multiply(sk_c5,sk_c7) = sk_c6 | sk_c6 = sk_c7. [para(9286(b,1),104(b,2)),rewrite([56(14)]),flip(c)].
% 9.93/10.28 9633 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c6) = sk_c3. [para(8163(b,1),1150(b,1,1)),merge(b)].
% 9.93/10.28 10001 inverse(sk_c4) = sk_c5 | multiply(sk_c6,inverse(sk_c7)) = multiply(sk_c7,sk_c1). [para(2216(b,1),71(b,1,2)),flip(c),merge(b)].
% 9.93/10.28 12887 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c3) = sk_c6. [para(9633(b,1),349(b,1,2)),merge(b)].
% 9.93/10.28 13054 multiply(sk_c5,sk_c7) = sk_c6 | multiply(inverse(sk_c7),sk_c6) = inverse(sk_c5). [para(379(b,1),6306(a,1,1)),rewrite([511(12)]),flip(b)].
% 9.93/10.28 13226 inverse(sk_c7) = sk_c5 | multiply(A,sk_c6) = A. [para(12887(b,1),395(b,1,2)),merge(b)].
% 9.93/10.28 13286 inverse(sk_c7) = sk_c5 | inverse(sk_c5) = sk_c7. [para(13226(b,1),367(b,1)),merge(b)].
% 9.93/10.28 13314 inverse(sk_c7) = sk_c5. [para(13286(b,1),511(a,1,1)),merge(b)].
% 9.93/10.28 13371 multiply(sk_c5,sk_c7) = sk_c6 | multiply(sk_c5,sk_c6) = inverse(sk_c5). [back_rewrite(13054),rewrite([13314(7)])].
% 9.93/10.28 14254 inverse(sk_c4) = sk_c5 | multiply(sk_c6,sk_c5) = multiply(sk_c7,sk_c1). [back_rewrite(10001),rewrite([13314(7)])].
% 9.93/10.28 14457 multiply(sk_c6,sk_c5) != sk_c7 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c5,sk_c7) != sk_c6 | inverse(sk_c5) != sk_c7 | multiply(inverse(A),sk_c5) != sk_c7 | sk_c5 != A. [back_rewrite(8629),rewrite([13314(7)]),xx(b)].
% 9.93/10.28 14719 multiply(sk_c1,sk_c7) = sk_c2 | multiply(sk_c5,sk_c5) = inverse(sk_c4). [back_rewrite(6296),rewrite([13314(8)])].
% 9.93/10.28 14768 multiply(sk_c5,sk_c7) = sk_c6 | multiply(sk_c6,multiply(sk_c5,sk_c5)) = identity. [back_rewrite(4470),rewrite([13314(9)])].
% 9.93/10.28 15069 multiply(sk_c5,sk_c7) = identity. [para(13314(a,1),2(a,1,1))].
% 9.93/10.28 15070 multiply(sk_c5,multiply(sk_c7,A)) = A. [para(13314(a,1),56(a,1,1))].
% 9.93/10.28 15071 inverse(sk_c5) = sk_c7. [para(13314(a,1),511(a,1,1))].
% 9.93/10.28 15072 multiply(sk_c7,sk_c5) = identity. [para(13314(a,1),484(a,1,2))].
% 9.93/10.28 15162 identity = sk_c6 | multiply(sk_c6,multiply(sk_c5,sk_c5)) = identity. [back_rewrite(14768),rewrite([15069(3)])].
% 9.93/10.28 15362 multiply(sk_c6,sk_c5) != sk_c7 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | identity != sk_c6 | multiply(inverse(A),sk_c5) != sk_c7 | sk_c5 != A. [back_rewrite(14457),rewrite([15069(16),15071(18)]),xx(e)].
% 9.93/10.28 15712 identity = sk_c6 | multiply(sk_c5,sk_c6) = sk_c7. [back_rewrite(13371),rewrite([15069(3),15071(8)])].
% 9.93/10.28 15759 identity = sk_c6 | sk_c6 = sk_c7. [back_rewrite(9401),rewrite([15069(6)]),merge(b)].
% 9.93/10.28 15863 multiply(sk_c7,sk_c2) = sk_c6 | sk_c5 = sk_c7. [back_rewrite(5474),rewrite([15070(10)]),flip(b)].
% 9.93/10.28 16040 sk_c6 = sk_c7 | multiply(sk_c6,A) = A. [para(15759(a,1),1(a,1,1))].
% 9.93/10.28 16042 sk_c6 = sk_c7 | inverse(sk_c6) = identity. [para(15759(a,1),402(a,1,1))].
% 9.93/10.28 16051 sk_c6 = sk_c7 | multiply(sk_c7,sk_c1) = sk_c6. [para(15759(a,1),4376(b,2)),merge(b)].
% 9.93/10.28 16101 sk_c6 = sk_c7 | inverse(sk_c6) = sk_c6. [para(15759(a,1),16042(b,2)),merge(b)].
% 9.93/10.28 16127 sk_c6 = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5. [para(16101(b,1),378(b,1,1)),merge(c)].
% 9.93/10.28 16237 identity = sk_c6 | sk_c2 = sk_c7. [para(15712(b,1),9273(b,1)),flip(c),merge(b)].
% 9.93/10.28 16239 sk_c2 = sk_c7 | multiply(sk_c6,A) = A. [para(16237(a,1),1(a,1,1))].
% 9.93/10.28 16241 sk_c2 = sk_c7 | inverse(sk_c6) = identity. [para(16237(a,1),402(a,1,1))].
% 9.93/10.28 16278 sk_c2 = sk_c7 | inverse(sk_c6) = sk_c6. [para(16237(a,1),16241(b,2)),merge(b)].
% 9.93/10.28 16287 sk_c2 = sk_c7 | multiply(sk_c6,sk_c7) = sk_c5. [para(16278(b,1),378(b,1,1)),merge(c)].
% 9.93/10.28 16528 sk_c5 = sk_c7 | multiply(sk_c5,sk_c6) = sk_c2. [para(15863(a,1),56(a,1,2)),rewrite([13314(5)])].
% 9.93/10.28 16680 sk_c6 = sk_c7 | multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c5,sk_c1)) = sk_c6. [para(16051(b,1),99(b,2))].
% 9.93/10.28 16707 multiply(sk_c6,sk_c5) != sk_c7 | sk_c6 != sk_c7 | multiply(sk_c6,sk_c7) != sk_c5 | identity != sk_c6 | multiply(sk_c5,sk_c5) != sk_c7 | sk_c5 != sk_c7. [para(13314(a,1),15362(e,1,1))].
% 9.93/10.28 16806 sk_c6 = sk_c7 | sk_c5 = sk_c7. [para(16127(b,1),16040(b,1)),merge(b)].
% 9.93/10.28 16966 sk_c2 = sk_c7 | sk_c5 = sk_c7. [para(16287(b,1),16239(b,1)),merge(b)].
% 9.93/10.28 17031 sk_c5 = sk_c7 | identity = sk_c2. [para(16806(a,1),16528(b,1,2)),rewrite([15069(9)]),merge(b)].
% 9.93/10.28 17054 sk_c5 = sk_c7 | identity = sk_c7. [para(16966(a,1),17031(b,2)),merge(b)].
% 9.93/10.28 17057 sk_c5 = sk_c7 | identity = sk_c5. [para(17054(b,1),402(a,1,1)),rewrite([13314(5)]),flip(b)].
% 9.93/10.28 17097 sk_c5 = sk_c7. [para(17057(b,1),17054(b,1)),merge(b),merge(c)].
% 9.93/10.28 17216 multiply(sk_c6,sk_c7) != sk_c7 | sk_c6 != sk_c7 | identity != sk_c6 | multiply(sk_c7,sk_c7) != sk_c7. [back_rewrite(16707),rewrite([17097(2),17097(12),17097(17),17097(18),17097(22)]),xx(f),merge(c)].
% 9.93/10.28 17229 sk_c6 = sk_c7 | multiply(sk_c7,sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c7,sk_c1)) = sk_c6. [back_rewrite(16680),rewrite([17097(10)])].
% 9.93/10.28 17860 identity = sk_c6 | multiply(sk_c6,multiply(sk_c7,sk_c7)) = identity. [back_rewrite(15162),rewrite([17097(5),17097(6)])].
% 9.93/10.28 17876 multiply(sk_c7,sk_c7) = identity. [back_rewrite(15072),rewrite([17097(2)])].
% 9.93/10.28 17930 multiply(sk_c1,sk_c7) = sk_c2 | inverse(sk_c4) = identity. [back_rewrite(14719),rewrite([17097(6),17097(7),17876(8)]),flip(b)].
% 9.93/10.28 17955 inverse(sk_c4) = sk_c7 | multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c1). [back_rewrite(14254),rewrite([17097(3),17097(6)])].
% 9.93/10.28 18958 sk_c1 = sk_c7 | multiply(sk_c6,sk_c7) = identity. [back_rewrite(8334),rewrite([17097(2),17097(5)])].
% 9.93/10.28 19281 inverse(sk_c4) = sk_c7 | multiply(sk_c2,sk_c2) = multiply(sk_c1,sk_c6). [back_rewrite(2213),rewrite([17097(3)])].
% 9.93/10.28 19344 multiply(sk_c6,sk_c7) = sk_c7. [back_rewrite(21),rewrite([17097(2),17097(9)]),merge(b)].
% 9.93/10.28 19456 identity = sk_c6. [back_rewrite(17860),rewrite([17876(7),393(6)]),flip(b),merge(b)].
% 9.93/10.28 19461 sk_c6 != sk_c7. [back_rewrite(17216),rewrite([19344(3),19456(7),17876(12),19456(10)]),xx(a),xx(c),merge(b)].
% 9.93/10.28 19482 sk_c1 = sk_c7. [back_rewrite(18958),rewrite([19344(6),19456(5)]),flip(b),unit_del(b,19461)].
% 9.93/10.28 19483 inverse(sk_c4) = sk_c7. [back_rewrite(17955),rewrite([19344(7),19482(7),17876(8),19456(6)]),flip(b),unit_del(b,19461)].
% 9.93/10.28 19572 sk_c2 = sk_c6. [back_rewrite(17930),rewrite([19482(1),17876(3),19456(1),19483(5),19456(5)]),flip(a),flip(b),unit_del(b,19461)].
% 9.93/10.28 19574 multiply(sk_c7,sk_c7) = sk_c6. [back_rewrite(17876),rewrite([19456(4)])].
% 9.93/10.28 19577 inverse(sk_c6) = sk_c6. [back_rewrite(16241),rewrite([19572(1),19456(6)]),unit_del(a,19461)].
% 9.93/10.28 19582 multiply(A,sk_c6) = A. [back_rewrite(872),rewrite([19456(1),19482(4),19574(6)]),unit_del(a,19461)].
% 9.93/10.28 19586 sk_c4 = sk_c6. [back_unit_del(17229),rewrite([19572(5),19582(6),19482(9),19574(10),19582(9)]),flip(b),merge(b),unit_del(a,19461)].
% 9.93/10.28 19588 $F. [back_rewrite(19281),rewrite([19586(1),19577(2),19572(4),19572(5),19582(6),19482(5),19582(7)]),merge(b),unit_del(a,19461)].
% 9.93/10.28
% 9.93/10.28 % SZS output end Refutation
% 9.93/10.28 ============================== end of proof ==========================
% 9.93/10.28
% 9.93/10.28 ============================== STATISTICS ============================
% 9.93/10.28
% 9.93/10.28 Given=2148. Generated=374684. Kept=19587. proofs=1.
% 9.93/10.28 Usable=45. Sos=485. Demods=27. Limbo=106, Disabled=18985. Hints=0.
% 9.93/10.28 Megabytes=18.13.
% 9.93/10.28 User_CPU=9.11, System_CPU=0.20, Wall_clock=9.
% 9.93/10.28
% 9.93/10.28 ============================== end of statistics =====================
% 9.93/10.28
% 9.93/10.28 ============================== end of search =========================
% 9.93/10.28
% 9.93/10.28 THEOREM PROVED
% 9.93/10.28 % SZS status Unsatisfiable
% 9.93/10.28
% 9.93/10.28 Exiting with 1 proof.
% 9.93/10.28
% 9.93/10.28 Process 2812 exit (max_proofs) Mon Jun 13 08:01:58 2022
% 9.93/10.28 Prover9 interrupted
%------------------------------------------------------------------------------