TSTP Solution File: GRP263-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP263-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 11:18:23 EDT 2022
% Result : Unsatisfiable 4.99s 5.25s
% Output : Refutation 4.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP263-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 07:07:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.99/5.25 ============================== Prover9 ===============================
% 4.99/5.25 Prover9 (32) version 2009-11A, November 2009.
% 4.99/5.25 Process 14194 was started by sandbox on n019.cluster.edu,
% 4.99/5.25 Tue Jun 14 07:07:40 2022
% 4.99/5.25 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14040_n019.cluster.edu".
% 4.99/5.25 ============================== end of head ===========================
% 4.99/5.25
% 4.99/5.25 ============================== INPUT =================================
% 4.99/5.25
% 4.99/5.25 % Reading from file /tmp/Prover9_14040_n019.cluster.edu
% 4.99/5.25
% 4.99/5.25 set(prolog_style_variables).
% 4.99/5.25 set(auto2).
% 4.99/5.25 % set(auto2) -> set(auto).
% 4.99/5.25 % set(auto) -> set(auto_inference).
% 4.99/5.25 % set(auto) -> set(auto_setup).
% 4.99/5.25 % set(auto_setup) -> set(predicate_elim).
% 4.99/5.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.99/5.25 % set(auto) -> set(auto_limits).
% 4.99/5.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.99/5.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.99/5.25 % set(auto) -> set(auto_denials).
% 4.99/5.25 % set(auto) -> set(auto_process).
% 4.99/5.25 % set(auto2) -> assign(new_constants, 1).
% 4.99/5.25 % set(auto2) -> assign(fold_denial_max, 3).
% 4.99/5.25 % set(auto2) -> assign(max_weight, "200.000").
% 4.99/5.25 % set(auto2) -> assign(max_hours, 1).
% 4.99/5.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.99/5.25 % set(auto2) -> assign(max_seconds, 0).
% 4.99/5.25 % set(auto2) -> assign(max_minutes, 5).
% 4.99/5.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.99/5.25 % set(auto2) -> set(sort_initial_sos).
% 4.99/5.25 % set(auto2) -> assign(sos_limit, -1).
% 4.99/5.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.99/5.25 % set(auto2) -> assign(max_megs, 400).
% 4.99/5.25 % set(auto2) -> assign(stats, some).
% 4.99/5.25 % set(auto2) -> clear(echo_input).
% 4.99/5.25 % set(auto2) -> set(quiet).
% 4.99/5.25 % set(auto2) -> clear(print_initial_clauses).
% 4.99/5.25 % set(auto2) -> clear(print_given).
% 4.99/5.25 assign(lrs_ticks,-1).
% 4.99/5.25 assign(sos_limit,10000).
% 4.99/5.25 assign(order,kbo).
% 4.99/5.25 set(lex_order_vars).
% 4.99/5.25 clear(print_given).
% 4.99/5.25
% 4.99/5.25 % formulas(sos). % not echoed (54 formulas)
% 4.99/5.25
% 4.99/5.25 ============================== end of input ==========================
% 4.99/5.25
% 4.99/5.25 % From the command line: assign(max_seconds, 300).
% 4.99/5.25
% 4.99/5.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.99/5.25
% 4.99/5.25 % Formulas that are not ordinary clauses:
% 4.99/5.25
% 4.99/5.25 ============================== end of process non-clausal formulas ===
% 4.99/5.25
% 4.99/5.25 ============================== PROCESS INITIAL CLAUSES ===============
% 4.99/5.25
% 4.99/5.25 ============================== PREDICATE ELIMINATION =================
% 4.99/5.25
% 4.99/5.25 ============================== end predicate elimination =============
% 4.99/5.25
% 4.99/5.25 Auto_denials: (non-Horn, no changes).
% 4.99/5.25
% 4.99/5.25 Term ordering decisions:
% 4.99/5.25
% 4.99/5.25 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 4.99/5.25 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c8=1. sk_c9=1. sk_c1=1. sk_c2=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 4.99/5.25
% 4.99/5.25 ============================== end of process initial clauses ========
% 4.99/5.25
% 4.99/5.25 ============================== CLAUSES FOR SEARCH ====================
% 4.99/5.25
% 4.99/5.25 ============================== end of clauses for search =============
% 4.99/5.25
% 4.99/5.25 ============================== SEARCH ================================
% 4.99/5.25
% 4.99/5.25 % Starting search at 0.07 seconds.
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=45.000, iters=3823
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=44.000, iters=3426
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=43.000, iters=3340
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=42.000, iters=3387
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=41.000, iters=3568
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=40.000, iters=3623
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=39.000, iters=4078
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=38.000, iters=3687
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=37.000, iters=3615
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=35.000, iters=3448
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=33.000, iters=3335
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=32.000, iters=3409
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=31.000, iters=3391
% 4.99/5.25
% 4.99/5.25 Low Water (keep): wt=30.000, iters=3334
% 4.99/5.25
% 4.99/5.25 ============================== PROOF =================================
% 4.99/5.25 % SZS status Unsatisfiable
% 4.99/5.25 % SZS output start Refutation
% 4.99/5.25
% 4.99/5.25 % Proof 1 at 4.16 (+ 0.04) seconds.
% 4.99/5.25 % Length of proof is 101.
% 4.99/5.25 % Level of proof is 19.
% 4.99/5.25 % Maximum clause weight is 68.000.
% 4.99/5.25 % Given clauses 599.
% 4.99/5.25
% 4.99/5.25 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 4.99/5.25 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 4.99/5.25 3 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 4.99/5.25 9 inverse(sk_c2) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 4.99/5.25 13 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 4.99/5.25 18 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 4.99/5.25 24 multiply(sk_c2,sk_c10) = sk_c9 | inverse(sk_c4) = sk_c10 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 4.99/5.25 29 inverse(sk_c2) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 4.99/5.25 31 inverse(sk_c2) = sk_c10 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_37) # label(negated_conjecture). [assumption].
% 4.99/5.25 35 multiply(sk_c9,sk_c10) = sk_c11 | inverse(sk_c5) = sk_c8 # label(prove_this_46) # label(negated_conjecture). [assumption].
% 4.99/5.25 37 multiply(sk_c9,sk_c10) = sk_c11 | inverse(sk_c6) = sk_c8 # label(prove_this_49) # label(negated_conjecture). [assumption].
% 4.99/5.25 38 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 4.99/5.25 44 multiply(sk_c2,sk_c10) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 4.99/5.25 46 multiply(sk_c2,sk_c10) = sk_c9 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 4.99/5.25 48 multiply(sk_c9,sk_c10) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 4.99/5.25 50 multiply(sk_c9,sk_c10) = sk_c11 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 4.99/5.25 51 multiply(sk_c9,sk_c10) = sk_c11 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_47) # label(negated_conjecture). [assumption].
% 4.99/5.25 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 4.99/5.25 54 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(D,sk_c10) != sk_c9 | inverse(D) != sk_c10 | multiply(E,F) != sk_c11 | inverse(E) != F | multiply(F,sk_c10) != sk_c11 | inverse(V6) != V7 | inverse(V7) != F | multiply(V6,F) != V7 # label(prove_this_51) # label(negated_conjecture). [assumption].
% 4.99/5.25 55 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(C,sk_c10) != sk_c9 | inverse(C) != sk_c10 | multiply(D,E) != sk_c11 | inverse(D) != E | multiply(E,sk_c10) != sk_c11 | inverse(F) != V6 | inverse(V6) != E | multiply(F,E) != V6. [factor(54,a,f),merge(f)].
% 4.99/5.25 61 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(C,D) != sk_c11 | inverse(C) != D | multiply(D,sk_c10) != sk_c11 | inverse(E) != F | inverse(F) != D | multiply(E,D) != F. [factor(55,c,f),merge(f)].
% 4.99/5.25 206 inverse(sk_c2) = sk_c10 | multiply(sk_c10,sk_c4) = identity. [para(9(b,1),2(a,1,1))].
% 4.99/5.25 210 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 4.99/5.25 233 inverse(sk_c4) = sk_c10 | multiply(sk_c2,multiply(sk_c10,A)) = multiply(sk_c9,A). [para(24(a,1),53(a,1,1)),flip(b)].
% 4.99/5.25 373 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | inverse(identity) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(D) != E | inverse(E) != C | multiply(D,C) != E. [para(1(a,1),61(c,1)),flip(c)].
% 4.99/5.25 377 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(D) != E | inverse(E) != C | multiply(D,C) != E. [para(2(a,1),61(a,1))].
% 4.99/5.25 1076 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | inverse(identity) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | sk_c10 != C. [factor(373,d,i),rewrite([1(33)]),flip(j)].
% 4.99/5.25 1118 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | multiply(A,C) != sk_c10. [factor(377,d,i)].
% 4.99/5.25 3134 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | inverse(identity) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,sk_c9) != sk_c11 | inverse(B) != sk_c9 | inverse(sk_c10) != sk_c9. [factor(1076,e,h),flip(i),merge(i)].
% 4.99/5.25 4844 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | inverse(identity) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9. [factor(3134,g,h)].
% 4.99/5.25 5760 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),210(a,1,2))].
% 4.99/5.25 5805 multiply(sk_c9,sk_c10) = sk_c11 | multiply(inverse(sk_c3),sk_c10) = sk_c11. [para(48(b,1),210(a,1,2))].
% 4.99/5.25 5826 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(210(a,1),210(a,1,2))].
% 4.99/5.25 5854 multiply(A,identity) = A. [back_rewrite(5760),rewrite([5826(4)])].
% 4.99/5.25 5898 inverse(identity) = identity. [para(5854(a,1),2(a,1))].
% 4.99/5.25 5970 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | sk_c9 != sk_c10 | identity != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9. [back_rewrite(4844),rewrite([5898(12)])].
% 4.99/5.25 6399 inverse(sk_c2) = sk_c10 | inverse(sk_c10) = sk_c4. [para(206(b,1),210(a,1,2)),rewrite([5854(8)])].
% 4.99/5.25 6476 inverse(sk_c10) = sk_c4 | multiply(sk_c10,sk_c2) = identity. [para(6399(a,1),2(a,1,1))].
% 4.99/5.25 6716 multiply(A,inverse(A)) = identity. [para(5826(a,1),2(a,1))].
% 4.99/5.25 6963 inverse(inverse(A)) = A. [para(5826(a,1),5854(a,1)),rewrite([5854(2)]),flip(a)].
% 4.99/5.25 7259 identity != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | multiply(A,C) != sk_c10. [back_rewrite(1118),rewrite([6963(6)]),xx(b)].
% 4.99/5.25 7384 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(3(b,1),6716(a,1,2))].
% 4.99/5.25 7804 identity != sk_c10 | sk_c9 != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9. [para(2(a,1),5970(a,1)),rewrite([6963(6)]),xx(b),merge(c)].
% 4.99/5.25 8407 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(7384(b,1),18(b,1)),merge(b)].
% 4.99/5.25 8418 identity = sk_c10 | multiply(sk_c1,sk_c11) = identity. [para(8407(a,1),6716(a,1,2))].
% 4.99/5.25 8488 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(8418(b,1),13(a,1)),merge(b)].
% 4.99/5.25 8500 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(8488(b,1),6716(a,1,2))].
% 4.99/5.25 9788 identity = sk_c10 | multiply(sk_c1,sk_c11) = sk_c10. [para(8500(b,1),38(b,1)),merge(c)].
% 4.99/5.25 10484 inverse(sk_c4) = sk_c10 | multiply(sk_c9,inverse(sk_c10)) = sk_c2. [para(6716(a,1),233(b,1,2)),rewrite([5854(7)]),flip(b)].
% 4.99/5.25 11599 identity = sk_c10. [para(9788(b,1),8418(b,1)),flip(c),merge(b),merge(c)].
% 4.99/5.25 13942 sk_c9 != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(sk_c10,sk_c9) != sk_c11 | inverse(sk_c10) != sk_c9. [back_rewrite(7804),rewrite([11599(1)]),xx(a)].
% 4.99/5.25 14240 multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(sk_c9,sk_c10) != sk_c11 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | multiply(A,C) != sk_c10. [back_rewrite(7259),rewrite([11599(1)]),xx(a)].
% 4.99/5.25 14410 multiply(A,inverse(A)) = sk_c10. [back_rewrite(6716),rewrite([11599(3)])].
% 4.99/5.25 14472 inverse(sk_c10) = sk_c4 | multiply(sk_c10,sk_c2) = sk_c10. [back_rewrite(6476),rewrite([11599(8)])].
% 4.99/5.25 14503 inverse(sk_c10) = sk_c10. [back_rewrite(5898),rewrite([11599(1),11599(3)])].
% 4.99/5.25 14504 multiply(A,sk_c10) = A. [back_rewrite(5854),rewrite([11599(1)])].
% 4.99/5.25 14523 multiply(inverse(A),A) = sk_c10. [back_rewrite(2),rewrite([11599(3)])].
% 4.99/5.25 14524 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([11599(1)])].
% 4.99/5.25 14603 sk_c9 != A | inverse(A) != sk_c10 | sk_c9 != sk_c11 | sk_c11 != B | sk_c10 != B | multiply(A,B) != sk_c10. [factor(14240,e,g),rewrite([14504(2),14504(8),14524(10),14503(12),14504(14)]),flip(a),flip(d),flip(f),merge(f)].
% 4.99/5.25 14652 sk_c4 = sk_c10 | sk_c2 = sk_c10. [back_rewrite(14472),rewrite([14503(2),14524(6)]),flip(a)].
% 4.99/5.25 14707 sk_c9 != sk_c10 | sk_c9 != sk_c11. [back_rewrite(13942),rewrite([14504(6),14524(9),14503(11)]),flip(d),merge(c),merge(d)].
% 4.99/5.25 14825 inverse(sk_c4) = sk_c10 | sk_c2 = sk_c9. [back_rewrite(10484),rewrite([14503(7),14504(7)]),flip(b)].
% 4.99/5.25 15708 sk_c9 = sk_c11 | inverse(sk_c3) = sk_c11. [back_rewrite(5805),rewrite([14504(3),14504(7)])].
% 4.99/5.25 16821 sk_c9 = sk_c11 | sk_c8 = sk_c11. [back_rewrite(51),rewrite([14504(3),14504(6)])].
% 4.99/5.25 16822 sk_c9 = sk_c11 | multiply(sk_c5,sk_c8) = sk_c11. [back_rewrite(50),rewrite([14504(3)])].
% 4.99/5.25 16826 sk_c2 = sk_c9 | sk_c8 = sk_c11. [back_rewrite(46),rewrite([14504(3),14504(6)])].
% 4.99/5.25 16828 sk_c2 = sk_c9 | sk_c4 = sk_c9. [back_rewrite(44),rewrite([14504(3),14504(6)])].
% 4.99/5.25 16832 sk_c9 = sk_c11 | inverse(sk_c6) = sk_c8. [back_rewrite(37),rewrite([14504(3)])].
% 4.99/5.25 16834 sk_c9 = sk_c11 | inverse(sk_c5) = sk_c8. [back_rewrite(35),rewrite([14504(3)])].
% 4.99/5.25 16836 inverse(sk_c2) = sk_c10 | sk_c8 = sk_c11. [back_rewrite(31),rewrite([14504(7)])].
% 4.99/5.25 16837 inverse(sk_c2) = sk_c10 | sk_c4 = sk_c9. [back_rewrite(29),rewrite([14504(7)])].
% 4.99/5.25 17672 sk_c8 = sk_c11 | sk_c9 != sk_c10. [resolve(16821,a,14707,b)].
% 4.99/5.25 17820 sk_c2 = sk_c9 | sk_c4 = sk_c10. [para(14825(a,1),6963(a,1,1)),rewrite([14503(5)]),flip(b)].
% 4.99/5.25 17824 sk_c2 = sk_c9 | sk_c9 = sk_c10. [para(17820(b,1),16828(b,1)),flip(c),merge(b)].
% 4.99/5.25 17965 inverse(A) != sk_c9 | sk_c10 != A | sk_c9 != sk_c11 | sk_c11 != A. [resolve(14603,f,14523,a),rewrite([6963(5)]),flip(a),flip(b),merge(e)].
% 4.99/5.25 18019 inverse(sk_c9) != sk_c10 | sk_c9 != sk_c11 | inverse(sk_c9) != sk_c11. [resolve(17965,a,6963,a),flip(a),flip(c)].
% 4.99/5.25 18348 sk_c9 = sk_c11 | inverse(sk_c11) = sk_c3. [para(15708(b,1),6963(a,1,1))].
% 4.99/5.25 18504 sk_c9 = sk_c11 | inverse(sk_c8) = sk_c6. [para(16832(b,1),6963(a,1,1))].
% 4.99/5.25 18506 sk_c9 = sk_c11 | multiply(sk_c6,sk_c8) = sk_c10. [para(16832(b,1),14410(a,1,2))].
% 4.99/5.25 18514 sk_c9 = sk_c11 | inverse(sk_c8) = sk_c5. [para(16834(b,1),6963(a,1,1))].
% 4.99/5.25 18682 sk_c8 = sk_c11 | sk_c2 = sk_c10. [para(16836(a,1),6963(a,1,1)),rewrite([14503(5)]),flip(b)].
% 4.99/5.25 18810 sk_c8 = sk_c11 | sk_c9 = sk_c10. [para(18682(b,1),16826(a,1)),flip(b),merge(c)].
% 4.99/5.25 18812 sk_c8 = sk_c11. [resolve(18810,b,17672,b),merge(b)].
% 4.99/5.25 18920 sk_c9 = sk_c11 | inverse(sk_c11) = sk_c5. [back_rewrite(18514),rewrite([18812(4)])].
% 4.99/5.25 18923 sk_c9 = sk_c11 | multiply(sk_c6,sk_c11) = sk_c10. [back_rewrite(18506),rewrite([18812(5)])].
% 4.99/5.25 18925 sk_c9 = sk_c11 | inverse(sk_c11) = sk_c6. [back_rewrite(18504),rewrite([18812(4)])].
% 4.99/5.25 19451 sk_c9 = sk_c11 | multiply(sk_c5,sk_c11) = sk_c11. [back_rewrite(16822),rewrite([18812(5)])].
% 4.99/5.25 20357 sk_c4 = sk_c9 | sk_c2 = sk_c10. [para(16837(a,1),6963(a,1,1)),rewrite([14503(5)]),flip(b)].
% 4.99/5.25 20373 sk_c2 = sk_c10 | sk_c9 = sk_c10. [para(20357(a,1),14652(a,1)),merge(c)].
% 4.99/5.25 20375 sk_c9 = sk_c10. [para(20373(a,1),17824(a,1)),flip(b),merge(b),merge(c)].
% 4.99/5.25 20783 sk_c11 = sk_c10 | multiply(sk_c5,sk_c11) = sk_c11. [back_rewrite(19451),rewrite([20375(1)]),flip(a)].
% 4.99/5.25 20967 sk_c11 = sk_c10 | inverse(sk_c11) = sk_c6. [back_rewrite(18925),rewrite([20375(1)]),flip(a)].
% 4.99/5.25 20969 sk_c11 = sk_c10 | multiply(sk_c6,sk_c11) = sk_c10. [back_rewrite(18923),rewrite([20375(1)]),flip(a)].
% 4.99/5.25 20972 sk_c11 = sk_c10 | inverse(sk_c11) = sk_c5. [back_rewrite(18920),rewrite([20375(1)]),flip(a)].
% 4.99/5.25 21124 sk_c11 = sk_c10 | inverse(sk_c11) = sk_c3. [back_rewrite(18348),rewrite([20375(1)]),flip(a)].
% 4.99/5.25 21209 sk_c11 != sk_c10. [back_rewrite(18019),rewrite([20375(1),14503(2),20375(4),20375(7),14503(8)]),flip(b),flip(c),xx(a),merge(b)].
% 4.99/5.25 21263 inverse(sk_c11) = sk_c3. [back_unit_del(21124),unit_del(a,21209)].
% 4.99/5.25 21273 sk_c5 = sk_c3. [back_unit_del(20972),rewrite([21263(5)]),flip(b),unit_del(a,21209)].
% 4.99/5.25 21275 multiply(sk_c6,sk_c11) = sk_c10. [back_unit_del(20969),unit_del(a,21209)].
% 4.99/5.25 21277 sk_c3 = sk_c6. [back_unit_del(20967),rewrite([21263(5)]),unit_del(a,21209)].
% 4.99/5.25 21279 $F. [back_unit_del(20783),rewrite([21273(4),21277(4),21275(6)]),flip(b),merge(b),unit_del(a,21209)].
% 4.99/5.25
% 4.99/5.25 % SZS output end Refutation
% 4.99/5.25 ============================== end of proof ==========================
% 4.99/5.25
% 4.99/5.25 ============================== STATISTICS ============================
% 4.99/5.25
% 4.99/5.25 Given=599. Generated=68653. Kept=21278. proofs=1.
% 4.99/5.25 Usable=55. Sos=508. Demods=38. Limbo=70, Disabled=20699. Hints=0.
% 4.99/5.25 Megabytes=22.70.
% 4.99/5.25 User_CPU=4.16, System_CPU=0.04, Wall_clock=4.
% 4.99/5.25
% 4.99/5.25 ============================== end of statistics =====================
% 4.99/5.25
% 4.99/5.25 ============================== end of search =========================
% 4.99/5.25
% 4.99/5.25 THEOREM PROVED
% 4.99/5.25 % SZS status Unsatisfiable
% 4.99/5.25
% 4.99/5.25 Exiting with 1 proof.
% 4.99/5.25
% 4.99/5.25 Process 14194 exit (max_proofs) Tue Jun 14 07:07:44 2022
% 4.99/5.25 Prover9 interrupted
%------------------------------------------------------------------------------