TSTP Solution File: GRP330-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP330-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 11:18:39 EDT 2022
% Result : Unsatisfiable 29.15s 29.43s
% Output : Refutation 29.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP330-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 08:39:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 21.66/21.95 ============================== Prover9 ===============================
% 21.66/21.95 Prover9 (32) version 2009-11A, November 2009.
% 21.66/21.95 Process 8376 was started by sandbox on n010.cluster.edu,
% 21.66/21.95 Tue Jun 14 08:39:10 2022
% 21.66/21.95 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8219_n010.cluster.edu".
% 21.66/21.95 ============================== end of head ===========================
% 21.66/21.95
% 21.66/21.95 ============================== INPUT =================================
% 21.66/21.95
% 21.66/21.95 % Reading from file /tmp/Prover9_8219_n010.cluster.edu
% 21.66/21.95
% 21.66/21.95 set(prolog_style_variables).
% 21.66/21.95 set(auto2).
% 21.66/21.95 % set(auto2) -> set(auto).
% 21.66/21.95 % set(auto) -> set(auto_inference).
% 21.66/21.95 % set(auto) -> set(auto_setup).
% 21.66/21.95 % set(auto_setup) -> set(predicate_elim).
% 21.66/21.95 % set(auto_setup) -> assign(eq_defs, unfold).
% 21.66/21.95 % set(auto) -> set(auto_limits).
% 21.66/21.95 % set(auto_limits) -> assign(max_weight, "100.000").
% 21.66/21.95 % set(auto_limits) -> assign(sos_limit, 20000).
% 21.66/21.95 % set(auto) -> set(auto_denials).
% 21.66/21.95 % set(auto) -> set(auto_process).
% 21.66/21.95 % set(auto2) -> assign(new_constants, 1).
% 21.66/21.95 % set(auto2) -> assign(fold_denial_max, 3).
% 21.66/21.95 % set(auto2) -> assign(max_weight, "200.000").
% 21.66/21.95 % set(auto2) -> assign(max_hours, 1).
% 21.66/21.95 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 21.66/21.95 % set(auto2) -> assign(max_seconds, 0).
% 21.66/21.95 % set(auto2) -> assign(max_minutes, 5).
% 21.66/21.95 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 21.66/21.95 % set(auto2) -> set(sort_initial_sos).
% 21.66/21.95 % set(auto2) -> assign(sos_limit, -1).
% 21.66/21.95 % set(auto2) -> assign(lrs_ticks, 3000).
% 21.66/21.95 % set(auto2) -> assign(max_megs, 400).
% 21.66/21.95 % set(auto2) -> assign(stats, some).
% 21.66/21.95 % set(auto2) -> clear(echo_input).
% 21.66/21.95 % set(auto2) -> set(quiet).
% 21.66/21.95 % set(auto2) -> clear(print_initial_clauses).
% 21.66/21.95 % set(auto2) -> clear(print_given).
% 21.66/21.95 assign(lrs_ticks,-1).
% 21.66/21.95 assign(sos_limit,10000).
% 21.66/21.95 assign(order,kbo).
% 21.66/21.95 set(lex_order_vars).
% 21.66/21.95 clear(print_given).
% 21.66/21.95
% 21.66/21.95 % formulas(sos). % not echoed (54 formulas)
% 21.66/21.95
% 21.66/21.95 ============================== end of input ==========================
% 21.66/21.95
% 21.66/21.95 % From the command line: assign(max_seconds, 300).
% 21.66/21.95
% 21.66/21.95 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 21.66/21.95
% 21.66/21.95 % Formulas that are not ordinary clauses:
% 21.66/21.95
% 21.66/21.95 ============================== end of process non-clausal formulas ===
% 21.66/21.95
% 21.66/21.95 ============================== PROCESS INITIAL CLAUSES ===============
% 21.66/21.95
% 21.66/21.95 ============================== PREDICATE ELIMINATION =================
% 21.66/21.95
% 21.66/21.95 ============================== end predicate elimination =============
% 21.66/21.95
% 21.66/21.95 Auto_denials: (non-Horn, no changes).
% 21.66/21.95
% 21.66/21.95 Term ordering decisions:
% 21.66/21.95
% 21.66/21.95 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 21.66/21.95 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c9=1. sk_c8=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.
% 21.66/21.95
% 21.66/21.95 ============================== end of process initial clauses ========
% 21.66/21.95
% 21.66/21.95 ============================== CLAUSES FOR SEARCH ====================
% 21.66/21.95
% 21.66/21.95 ============================== end of clauses for search =============
% 21.66/21.95
% 21.66/21.95 ============================== SEARCH ================================
% 21.66/21.95
% 21.66/21.95 % Starting search at 0.25 seconds.
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=2573, wt=80.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=740, wt=71.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=10178, wt=54.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=10438, wt=53.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=11132, wt=51.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=11186, wt=50.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=16826, wt=49.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=17654, wt=46.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=17866, wt=45.000
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=63.000, iters=9962
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=62.000, iters=9159
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=58.000, iters=5328
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=57.000, iters=4437
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=54.000, iters=3524
% 21.66/21.95
% 21.66/21.95 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 130 (0.00 of 19.06 sec).
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=51517, wt=44.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=51574, wt=43.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=51669, wt=42.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=54236, wt=34.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=54435, wt=26.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=54445, wt=17.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=54598, wt=14.000
% 21.66/21.95
% 21.66/21.95 Low Water (displace): id=54935, wt=13.000
% 21.66/21.95
% 21.66/21.95 Low Water (keep): wt=53.000, iters=3484
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=52.000, iters=3414
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=51.000, iters=3393
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=50.000, iters=3350
% 29.15/29.43
% 29.15/29.43 Low Water (displace): id=57983, wt=12.000
% 29.15/29.43
% 29.15/29.43 Low Water (displace): id=58265, wt=11.000
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=48.000, iters=4987
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=42.000, iters=3440
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=41.000, iters=3564
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=39.000, iters=3466
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=37.000, iters=3402
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=36.000, iters=3382
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=35.000, iters=3367
% 29.15/29.43
% 29.15/29.43 Low Water (keep): wt=34.000, iters=3334
% 29.15/29.43
% 29.15/29.43 ============================== PROOF =================================
% 29.15/29.43 % SZS status Unsatisfiable
% 29.15/29.43 % SZS output start Refutation
% 29.15/29.43
% 29.15/29.43 % Proof 1 at 28.21 (+ 0.25) seconds.
% 29.15/29.43 % Length of proof is 99.
% 29.15/29.43 % Level of proof is 23.
% 29.15/29.43 % Maximum clause weight is 68.000.
% 29.15/29.43 % Given clauses 1038.
% 29.15/29.43
% 29.15/29.43 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 29.15/29.43 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 29.15/29.43 4 inverse(sk_c1) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 29.15/29.43 5 inverse(sk_c1) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 29.15/29.43 8 inverse(sk_c2) = sk_c9 | inverse(sk_c3) = sk_c11 # label(prove_this_42) # label(negated_conjecture). [assumption].
% 29.15/29.43 13 multiply(sk_c10,sk_c11) = sk_c9 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 29.15/29.43 14 multiply(sk_c10,sk_c11) = sk_c9 | inverse(sk_c4) = sk_c10 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 29.15/29.43 20 multiply(sk_c1,sk_c10) = sk_c11 | inverse(sk_c5) = sk_c8 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 29.15/29.43 24 inverse(sk_c1) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 29.15/29.43 25 inverse(sk_c1) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 29.15/29.43 28 multiply(sk_c2,sk_c9) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 29.15/29.43 33 inverse(sk_c2) = sk_c9 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 29.15/29.43 34 inverse(sk_c2) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_43) # label(negated_conjecture). [assumption].
% 29.15/29.43 38 multiply(sk_c10,sk_c11) = sk_c9 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 29.15/29.43 39 multiply(sk_c10,sk_c11) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 29.15/29.43 45 multiply(sk_c1,sk_c10) = sk_c11 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 29.15/29.43 48 multiply(sk_c2,sk_c9) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 29.15/29.43 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 29.15/29.43 54 multiply(sk_c10,sk_c11) != sk_c9 | multiply(A,sk_c10) != sk_c11 | inverse(A) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | 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].
% 29.15/29.43 470 inverse(sk_c2) = sk_c9 | multiply(sk_c11,sk_c3) = identity. [para(8(b,1),2(a,1,1))].
% 29.15/29.43 475 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 29.15/29.43 476 inverse(sk_c3) = sk_c11 | multiply(sk_c10,multiply(sk_c11,A)) = multiply(sk_c9,A). [para(13(a,1),53(a,1,1)),flip(b)].
% 29.15/29.43 478 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c11,A)) = multiply(sk_c9,A). [para(14(a,1),53(a,1,1)),flip(b)].
% 29.15/29.43 506 inverse(sk_c3) = sk_c11 | multiply(sk_c2,multiply(sk_c9,A)) = multiply(sk_c10,A). [para(28(a,1),53(a,1,1)),flip(b)].
% 29.15/29.43 518 inverse(sk_c2) = sk_c9 | multiply(sk_c4,multiply(sk_c10,A)) = multiply(sk_c9,A). [para(34(b,1),53(a,1,1)),flip(b)].
% 29.15/29.43 519 inverse(sk_c2) = sk_c9 | multiply(A,multiply(sk_c4,sk_c10)) = multiply(A,sk_c9). [para(34(b,1),53(a,2,2)),rewrite([53(8)])].
% 29.15/29.43 638 multiply(sk_c10,sk_c11) != sk_c9 | multiply(A,sk_c10) != sk_c11 | inverse(A) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | 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(inverse(F)) != identity | inverse(identity) != F. [resolve(54,o,2,a)].
% 29.15/29.43 1473 multiply(sk_c10,sk_c11) != sk_c9 | multiply(A,sk_c10) != sk_c11 | inverse(A) != sk_c10 | multiply(B,sk_c9) != sk_c10 | inverse(B) != sk_c9 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(D,sk_c10) != sk_c9 | inverse(D) != sk_c10 | multiply(E,A) != sk_c11 | inverse(E) != A | inverse(inverse(A)) != identity | inverse(identity) != A. [factor(638,b,l)].
% 29.15/29.43 5012 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | multiply(A,sk_c9) != sk_c10 | inverse(A) != sk_c9 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(B,sk_c11) != sk_c11 | inverse(inverse(sk_c11)) != identity | inverse(identity) != sk_c11. [factor(1473,g,k)].
% 29.15/29.43 11905 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | multiply(A,sk_c9) != sk_c10 | inverse(A) != sk_c9 | sk_c11 != sk_c10 | inverse(identity) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | inverse(inverse(sk_c11)) != identity. [factor(5012,g,l),rewrite([1(24),1(38)]),xx(j)].
% 29.15/29.43 49810 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),475(a,1,2))].
% 29.15/29.43 49932 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(475(a,1),475(a,1,2))].
% 29.15/29.43 50153 multiply(A,identity) = A. [back_rewrite(49810),rewrite([49932(4)])].
% 29.15/29.43 50429 inverse(identity) = identity. [para(50153(a,1),2(a,1))].
% 29.15/29.43 50942 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | multiply(A,sk_c9) != sk_c10 | inverse(A) != sk_c9 | sk_c11 != sk_c10 | identity != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | inverse(inverse(sk_c11)) != identity. [back_rewrite(11905),rewrite([50429(26)])].
% 29.15/29.43 51125 inverse(sk_c2) = sk_c9 | inverse(sk_c11) = sk_c3. [para(470(b,1),475(a,1,2)),rewrite([50153(8)])].
% 29.15/29.43 51776 multiply(A,inverse(A)) = identity. [para(49932(a,1),2(a,1))].
% 29.15/29.43 53043 inverse(inverse(A)) = A. [para(49932(a,1),50153(a,1)),rewrite([50153(2)]),flip(a)].
% 29.15/29.43 53110 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | multiply(A,sk_c9) != sk_c10 | inverse(A) != sk_c9 | sk_c11 != sk_c10 | identity != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10. [back_rewrite(50942),rewrite([53043(37)]),flip(j),merge(j)].
% 29.15/29.43 53310 inverse(sk_c11) = sk_c3 | inverse(sk_c9) = sk_c2. [para(51125(a,1),53043(a,1,1))].
% 29.15/29.43 53409 inverse(sk_c1) = sk_c10 | multiply(sk_c4,sk_c10) = identity. [para(4(b,1),51776(a,1,2))].
% 29.15/29.43 53410 inverse(sk_c1) = sk_c10 | multiply(sk_c5,sk_c8) = identity. [para(5(b,1),51776(a,1,2))].
% 29.15/29.43 53511 inverse(sk_c3) = sk_c11 | multiply(sk_c9,inverse(sk_c11)) = sk_c10. [para(51776(a,1),476(b,1,2)),rewrite([50153(7)]),flip(b)].
% 29.15/29.43 54158 inverse(sk_c4) = sk_c10 | multiply(sk_c9,inverse(sk_c11)) = sk_c10. [para(51776(a,1),478(b,1,2)),rewrite([50153(7)]),flip(b)].
% 29.15/29.43 55110 inverse(sk_c1) = sk_c10 | identity = sk_c9. [para(53409(b,1),24(b,1)),merge(b)].
% 29.15/29.43 55190 identity = sk_c9 | inverse(sk_c10) = sk_c1. [para(55110(a,1),53043(a,1,1))].
% 29.15/29.43 55191 identity = sk_c9 | multiply(sk_c1,sk_c10) = identity. [para(55110(a,1),51776(a,1,2))].
% 29.15/29.43 55360 inverse(sk_c1) = sk_c10 | identity = sk_c11. [para(53410(b,1),25(b,1)),merge(b)].
% 29.15/29.43 55499 identity = sk_c11 | multiply(sk_c1,sk_c10) = identity. [para(55360(a,1),51776(a,1,2))].
% 29.15/29.43 55511 identity = sk_c11 | inverse(sk_c5) = sk_c8. [para(55499(b,1),20(a,1)),merge(b)].
% 29.15/29.43 55639 identity = sk_c11 | multiply(sk_c5,sk_c8) = identity. [para(55511(b,1),51776(a,1,2))].
% 29.15/29.43 56084 identity = sk_c11 | multiply(sk_c1,sk_c10) = sk_c11. [para(55639(b,1),45(b,1)),merge(c)].
% 29.15/29.43 57424 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | identity != sk_c10 | sk_c11 != sk_c10 | identity != sk_c11 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10. [para(2(a,1),53110(d,1)),rewrite([53043(20)]),xx(e)].
% 29.15/29.43 58063 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | identity != sk_c10 | sk_c11 != sk_c10 | identity != sk_c11 | multiply(A,multiply(B,sk_c10)) != sk_c9 | inverse(multiply(A,B)) != sk_c10. [para(53(a,1),57424(g,1))].
% 29.15/29.43 58284 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | identity != sk_c10 | sk_c11 != sk_c10 | identity != sk_c11 | sk_c9 != A | inverse(multiply(A,inverse(sk_c10))) != sk_c10. [para(2(a,1),58063(g,1,2)),rewrite([50153(25)]),flip(g)].
% 29.15/29.43 58327 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | identity != sk_c10 | sk_c11 != sk_c10 | identity != sk_c11 | multiply(A,B) != sk_c9 | inverse(multiply(A,multiply(B,inverse(sk_c10)))) != sk_c10. [para(53(a,1),58284(h,1,1)),flip(g)].
% 29.15/29.43 58577 identity = sk_c11. [para(56084(b,1),55499(b,1)),flip(c),merge(b),merge(c)].
% 29.15/29.43 58580 multiply(sk_c10,sk_c11) != sk_c9 | multiply(sk_c11,sk_c10) != sk_c11 | inverse(sk_c11) != sk_c10 | sk_c11 != sk_c10 | multiply(A,B) != sk_c9 | inverse(multiply(A,multiply(B,inverse(sk_c10)))) != sk_c10. [back_rewrite(58327),rewrite([58577(15),58577(21)]),xx(f),merge(e)].
% 29.15/29.43 59062 sk_c9 = sk_c11 | multiply(sk_c1,sk_c10) = sk_c11. [back_rewrite(55191),rewrite([58577(1),58577(7)]),flip(a)].
% 29.15/29.43 59063 sk_c9 = sk_c11 | inverse(sk_c10) = sk_c1. [back_rewrite(55190),rewrite([58577(1)]),flip(a)].
% 29.15/29.43 59450 multiply(A,inverse(A)) = sk_c11. [back_rewrite(51776),rewrite([58577(3)])].
% 29.15/29.43 59541 inverse(sk_c11) = sk_c11. [back_rewrite(50429),rewrite([58577(1),58577(3)])].
% 29.15/29.43 59542 multiply(A,sk_c11) = A. [back_rewrite(50153),rewrite([58577(1)])].
% 29.15/29.43 59554 multiply(inverse(A),A) = sk_c11. [back_rewrite(2),rewrite([58577(3)])].
% 29.15/29.43 59555 multiply(sk_c11,A) = A. [back_rewrite(1),rewrite([58577(1)])].
% 29.15/29.43 59556 sk_c9 != sk_c10 | sk_c11 != sk_c10. [factor(58580,a,e),rewrite([59542(3),59555(6),59541(8),59555(17),59450(16),59541(14)]),flip(a),flip(b),merge(c),merge(d),merge(e)].
% 29.15/29.43 59738 inverse(sk_c4) = sk_c10 | sk_c9 = sk_c10. [back_rewrite(54158),rewrite([59541(7),59542(7)])].
% 29.15/29.43 59742 inverse(sk_c3) = sk_c11 | sk_c9 = sk_c10. [back_rewrite(53511),rewrite([59541(7),59542(7)])].
% 29.15/29.43 59743 sk_c3 = sk_c11 | inverse(sk_c9) = sk_c2. [back_rewrite(53310),rewrite([59541(2)]),flip(a)].
% 29.15/29.43 63913 multiply(sk_c2,sk_c9) = sk_c10 | sk_c3 = sk_c10. [back_rewrite(48),rewrite([59542(8)])].
% 29.15/29.43 63918 sk_c9 = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9. [back_rewrite(39),rewrite([59542(3)]),flip(a)].
% 29.15/29.43 63919 sk_c9 = sk_c10 | sk_c3 = sk_c10. [back_rewrite(38),rewrite([59542(3),59542(6)]),flip(a)].
% 29.15/29.43 63920 inverse(sk_c2) = sk_c9 | sk_c3 = sk_c10. [back_rewrite(33),rewrite([59542(7)])].
% 29.15/29.43 66822 inverse(sk_c3) = sk_c11 | multiply(sk_c2,multiply(sk_c9,inverse(sk_c10))) = sk_c11. [para(59450(a,1),506(b,2))].
% 29.15/29.43 66922 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c4. [para(59738(a,1),53043(a,1,1))].
% 29.15/29.43 66927 sk_c9 = sk_c10 | sk_c3 = sk_c11. [para(59742(a,1),53043(a,1,1)),rewrite([59541(5)]),flip(b)].
% 29.15/29.43 66928 sk_c9 = sk_c10 | inverse(sk_c10) = sk_c11. [para(63919(b,1),59742(a,1,1)),merge(c)].
% 29.15/29.43 67008 sk_c9 = sk_c10 | sk_c11 = sk_c10. [para(66927(b,1),63919(b,1)),merge(b)].
% 29.15/29.43 67046 sk_c11 = sk_c10 | sk_c3 = sk_c11 | inverse(sk_c10) = sk_c2. [para(67008(a,1),59743(b,1,1))].
% 29.15/29.43 67251 sk_c3 = sk_c10 | inverse(sk_c9) = sk_c2. [para(63920(a,1),53043(a,1,1))].
% 29.15/29.43 67429 sk_c9 = sk_c10 | sk_c4 = sk_c11. [para(66928(b,1),66922(b,1)),flip(c),merge(b)].
% 29.15/29.43 67755 sk_c11 = sk_c10 | sk_c3 = sk_c10 | inverse(sk_c10) = sk_c2. [para(67008(a,1),67251(b,1,1))].
% 29.15/29.43 67854 inverse(sk_c2) = sk_c9 | multiply(sk_c4,multiply(sk_c10,inverse(sk_c9))) = sk_c11. [para(59450(a,1),518(b,2))].
% 29.15/29.43 67940 inverse(sk_c2) = sk_c9 | multiply(inverse(multiply(sk_c4,sk_c10)),sk_c9) = sk_c11. [para(519(b,1),59554(a,1))].
% 29.15/29.44 69799 sk_c9 = sk_c10. [para(67429(b,1),63918(b,1,1)),rewrite([59555(9)]),flip(c),merge(b),merge(c)].
% 29.15/29.44 71286 inverse(sk_c2) = sk_c10 | multiply(inverse(multiply(sk_c4,sk_c10)),sk_c10) = sk_c11. [back_rewrite(67940),rewrite([69799(3),69799(9)])].
% 29.15/29.44 71356 inverse(sk_c2) = sk_c10 | sk_c4 = sk_c11. [back_rewrite(67854),rewrite([69799(3),69799(7),59450(9),59542(7)])].
% 29.15/29.44 71870 inverse(sk_c3) = sk_c11 | sk_c2 = sk_c11. [back_rewrite(66822),rewrite([69799(6),59450(9),59542(7)])].
% 29.15/29.44 72746 multiply(sk_c2,sk_c10) = sk_c10 | sk_c3 = sk_c10. [back_rewrite(63913),rewrite([69799(2)])].
% 29.15/29.44 73796 sk_c11 != sk_c10. [back_rewrite(59556),rewrite([69799(1)]),xx(a)].
% 29.15/29.44 73817 inverse(sk_c10) = sk_c1. [back_rewrite(59063),rewrite([69799(1)]),flip(a),unit_del(a,73796)].
% 29.15/29.44 73818 multiply(sk_c1,sk_c10) = sk_c11. [back_rewrite(59062),rewrite([69799(1)]),flip(a),unit_del(a,73796)].
% 29.15/29.44 74982 sk_c3 = sk_c10 | sk_c2 = sk_c1. [back_unit_del(67755),rewrite([73817(8)]),flip(c),unit_del(a,73796)].
% 29.15/29.44 74983 sk_c3 = sk_c11 | sk_c2 = sk_c1. [back_unit_del(67046),rewrite([73817(8)]),flip(c),unit_del(a,73796)].
% 29.15/29.44 75145 sk_c2 = sk_c1. [para(74983(a,1),74982(a,1)),merge(c),unit_del(b,73796)].
% 29.15/29.44 75312 sk_c3 = sk_c10. [back_rewrite(72746),rewrite([75145(1),73818(3)]),unit_del(a,73796)].
% 29.15/29.44 75330 sk_c1 = sk_c11. [back_rewrite(71870),rewrite([75312(1),73817(2),75145(4)]),merge(b)].
% 29.15/29.44 75343 sk_c4 = sk_c11. [back_rewrite(71356),rewrite([75145(1),75330(1),59541(2)]),unit_del(a,73796)].
% 29.15/29.44 75344 $F. [back_rewrite(71286),rewrite([75145(1),75330(1),59541(2),75343(4),59555(6),73817(5),75330(4),59555(6)]),flip(b),merge(b),unit_del(a,73796)].
% 29.15/29.44
% 29.15/29.44 % SZS output end Refutation
% 29.15/29.44 ============================== end of proof ==========================
% 29.15/29.44
% 29.15/29.44 ============================== STATISTICS ============================
% 29.15/29.44
% 29.15/29.44 Given=1038. Generated=305891. Kept=75343. proofs=1.
% 29.15/29.44 Usable=30. Sos=841. Demods=44. Limbo=199, Disabled=74327. Hints=0.
% 29.15/29.44 Megabytes=104.24.
% 29.15/29.44 User_CPU=28.21, System_CPU=0.25, Wall_clock=28.
% 29.15/29.44
% 29.15/29.44 ============================== end of statistics =====================
% 29.15/29.44
% 29.15/29.44 ============================== end of search =========================
% 29.15/29.44
% 29.15/29.44 THEOREM PROVED
% 29.15/29.44 % SZS status Unsatisfiable
% 29.15/29.44
% 29.15/29.44 Exiting with 1 proof.
% 29.15/29.44
% 29.15/29.44 Process 8376 exit (max_proofs) Tue Jun 14 08:39:38 2022
% 29.15/29.44 Prover9 interrupted
%------------------------------------------------------------------------------