TSTP Solution File: GRP254-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP254-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 11:18:21 EDT 2022
% Result : Unsatisfiable 7.16s 7.43s
% Output : Refutation 7.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP254-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 07:32:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.16/7.43 ============================== Prover9 ===============================
% 7.16/7.43 Prover9 (32) version 2009-11A, November 2009.
% 7.16/7.43 Process 20278 was started by sandbox on n015.cluster.edu,
% 7.16/7.43 Tue Jun 14 07:32:54 2022
% 7.16/7.43 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19913_n015.cluster.edu".
% 7.16/7.43 ============================== end of head ===========================
% 7.16/7.43
% 7.16/7.43 ============================== INPUT =================================
% 7.16/7.43
% 7.16/7.43 % Reading from file /tmp/Prover9_19913_n015.cluster.edu
% 7.16/7.43
% 7.16/7.43 set(prolog_style_variables).
% 7.16/7.43 set(auto2).
% 7.16/7.43 % set(auto2) -> set(auto).
% 7.16/7.43 % set(auto) -> set(auto_inference).
% 7.16/7.43 % set(auto) -> set(auto_setup).
% 7.16/7.43 % set(auto_setup) -> set(predicate_elim).
% 7.16/7.43 % set(auto_setup) -> assign(eq_defs, unfold).
% 7.16/7.43 % set(auto) -> set(auto_limits).
% 7.16/7.43 % set(auto_limits) -> assign(max_weight, "100.000").
% 7.16/7.43 % set(auto_limits) -> assign(sos_limit, 20000).
% 7.16/7.43 % set(auto) -> set(auto_denials).
% 7.16/7.43 % set(auto) -> set(auto_process).
% 7.16/7.43 % set(auto2) -> assign(new_constants, 1).
% 7.16/7.43 % set(auto2) -> assign(fold_denial_max, 3).
% 7.16/7.43 % set(auto2) -> assign(max_weight, "200.000").
% 7.16/7.43 % set(auto2) -> assign(max_hours, 1).
% 7.16/7.43 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.16/7.43 % set(auto2) -> assign(max_seconds, 0).
% 7.16/7.43 % set(auto2) -> assign(max_minutes, 5).
% 7.16/7.43 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.16/7.43 % set(auto2) -> set(sort_initial_sos).
% 7.16/7.43 % set(auto2) -> assign(sos_limit, -1).
% 7.16/7.43 % set(auto2) -> assign(lrs_ticks, 3000).
% 7.16/7.43 % set(auto2) -> assign(max_megs, 400).
% 7.16/7.43 % set(auto2) -> assign(stats, some).
% 7.16/7.43 % set(auto2) -> clear(echo_input).
% 7.16/7.43 % set(auto2) -> set(quiet).
% 7.16/7.43 % set(auto2) -> clear(print_initial_clauses).
% 7.16/7.43 % set(auto2) -> clear(print_given).
% 7.16/7.43 assign(lrs_ticks,-1).
% 7.16/7.43 assign(sos_limit,10000).
% 7.16/7.43 assign(order,kbo).
% 7.16/7.43 set(lex_order_vars).
% 7.16/7.43 clear(print_given).
% 7.16/7.43
% 7.16/7.43 % formulas(sos). % not echoed (64 formulas)
% 7.16/7.43
% 7.16/7.43 ============================== end of input ==========================
% 7.16/7.43
% 7.16/7.43 % From the command line: assign(max_seconds, 300).
% 7.16/7.43
% 7.16/7.43 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.16/7.43
% 7.16/7.43 % Formulas that are not ordinary clauses:
% 7.16/7.43
% 7.16/7.43 ============================== end of process non-clausal formulas ===
% 7.16/7.43
% 7.16/7.43 ============================== PROCESS INITIAL CLAUSES ===============
% 7.16/7.43
% 7.16/7.43 ============================== PREDICATE ELIMINATION =================
% 7.16/7.43
% 7.16/7.43 ============================== end predicate elimination =============
% 7.16/7.43
% 7.16/7.43 Auto_denials: (non-Horn, no changes).
% 7.16/7.43
% 7.16/7.43 Term ordering decisions:
% 7.16/7.43
% 7.16/7.43 % Assigning unary symbol inverse kb_weight 0 and highest precedence (16).
% 7.16/7.43 Function symbol KB weights: sk_c11=1. sk_c12=1. sk_c10=1. sk_c9=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c7=1. sk_c4=1. sk_c5=1. sk_c6=1. sk_c8=1. identity=1. multiply=1. inverse=0.
% 7.16/7.43
% 7.16/7.43 ============================== end of process initial clauses ========
% 7.16/7.43
% 7.16/7.43 ============================== CLAUSES FOR SEARCH ====================
% 7.16/7.43
% 7.16/7.43 ============================== end of clauses for search =============
% 7.16/7.43
% 7.16/7.43 ============================== SEARCH ================================
% 7.16/7.43
% 7.16/7.43 % Starting search at 0.08 seconds.
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=49.000, iters=6337
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=48.000, iters=5640
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=47.000, iters=4731
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=45.000, iters=3880
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=44.000, iters=3699
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=43.000, iters=3533
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=12283, wt=32.000
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=12333, wt=27.000
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=12334, wt=25.000
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=42.000, iters=3714
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=13036, wt=24.000
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=41.000, iters=3569
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=13353, wt=23.000
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=13358, wt=21.000
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=13602, wt=15.000
% 7.16/7.43
% 7.16/7.43 Low Water (keep): wt=40.000, iters=3682
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=16720, wt=14.000
% 7.16/7.43
% 7.16/7.43 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 22 (0.00 of 2.90 sec).
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=18724, wt=13.000
% 7.16/7.43
% 7.16/7.43 Low Water (displace): id=20259, wt=12.000
% 7.16/7.43
% 7.16/7.43 ============================== PROOF =================================
% 7.16/7.43 % SZS status Unsatisfiable
% 7.16/7.43 % SZS output start Refutation
% 7.16/7.43
% 7.16/7.43 % Proof 1 at 6.34 (+ 0.07) seconds.
% 7.16/7.43 % Length of proof is 106.
% 7.16/7.43 % Level of proof is 24.
% 7.16/7.43 % Maximum clause weight is 72.000.
% 7.16/7.43 % Given clauses 715.
% 7.16/7.43
% 7.16/7.43 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 7.16/7.43 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 7.16/7.43 3 inverse(sk_c1) = sk_c12 | inverse(sk_c4) = sk_c12 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 7.16/7.43 5 inverse(sk_c1) = sk_c12 | inverse(sk_c6) = sk_c9 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 7.16/7.43 9 inverse(sk_c2) = sk_c11 | inverse(sk_c5) = sk_c11 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 7.16/7.43 15 inverse(sk_c3) = sk_c10 | inverse(sk_c6) = sk_c9 # label(prove_this_46) # label(negated_conjecture). [assumption].
% 7.16/7.43 18 multiply(sk_c1,sk_c12) = sk_c11 | inverse(sk_c4) = sk_c12 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 7.16/7.43 23 inverse(sk_c1) = sk_c12 | multiply(sk_c4,sk_c12) = sk_c11 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 7.16/7.43 29 multiply(sk_c2,sk_c11) = sk_c10 | inverse(sk_c5) = sk_c11 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 7.16/7.43 34 inverse(sk_c2) = sk_c11 | multiply(sk_c5,sk_c11) = sk_c10 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 7.16/7.43 40 inverse(sk_c3) = sk_c10 | multiply(sk_c6,sk_c9) = sk_c12 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 7.16/7.43 41 inverse(sk_c3) = sk_c10 | multiply(sk_c9,sk_c11) = sk_c12 # label(prove_this_47) # label(negated_conjecture). [assumption].
% 7.16/7.43 45 multiply(sk_c3,sk_c12) = sk_c10 | inverse(sk_c6) = sk_c9 # label(prove_this_56) # label(negated_conjecture). [assumption].
% 7.16/7.43 48 multiply(sk_c1,sk_c12) = sk_c11 | multiply(sk_c4,sk_c12) = sk_c11 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 7.16/7.43 50 multiply(sk_c1,sk_c12) = sk_c11 | multiply(sk_c6,sk_c9) = sk_c12 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 7.16/7.43 54 multiply(sk_c2,sk_c11) = sk_c10 | multiply(sk_c5,sk_c11) = sk_c10 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 7.16/7.43 60 multiply(sk_c3,sk_c12) = sk_c10 | multiply(sk_c6,sk_c9) = sk_c12 # label(prove_this_55) # label(negated_conjecture). [assumption].
% 7.16/7.43 61 multiply(sk_c3,sk_c12) = sk_c10 | multiply(sk_c9,sk_c11) = sk_c12 # label(prove_this_57) # label(negated_conjecture). [assumption].
% 7.16/7.43 63 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 7.16/7.43 64 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(C) != sk_c10 | multiply(C,sk_c12) != sk_c10 | multiply(D,sk_c12) != sk_c11 | inverse(D) != sk_c12 | multiply(E,sk_c11) != sk_c10 | inverse(E) != sk_c11 | multiply(F,V6) != sk_c12 | inverse(F) != V6 | multiply(V6,sk_c11) != sk_c12 | inverse(V7) != V8 | inverse(V8) != V6 | multiply(V7,V6) != V8 # label(prove_this_61) # label(negated_conjecture). [assumption].
% 7.16/7.43 65 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(C) != sk_c10 | multiply(C,sk_c12) != sk_c10 | multiply(D,sk_c11) != sk_c10 | inverse(D) != sk_c11 | multiply(E,F) != sk_c12 | inverse(E) != F | multiply(F,sk_c11) != sk_c12 | inverse(V6) != V7 | inverse(V7) != F | multiply(V6,F) != V7. [factor(64,a,g),merge(g)].
% 7.16/7.43 71 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(C) != sk_c10 | multiply(C,sk_c12) != sk_c10 | multiply(D,E) != sk_c12 | inverse(D) != E | multiply(E,sk_c11) != sk_c12 | inverse(F) != V6 | inverse(V6) != E | multiply(F,E) != V6. [factor(65,c,g),merge(g)].
% 7.16/7.43 206 inverse(sk_c1) = sk_c12 | multiply(sk_c9,sk_c6) = identity. [para(5(b,1),2(a,1,1))].
% 7.16/7.43 210 inverse(sk_c2) = sk_c11 | multiply(sk_c11,sk_c5) = identity. [para(9(b,1),2(a,1,1))].
% 7.16/7.43 216 inverse(sk_c3) = sk_c10 | multiply(sk_c9,sk_c6) = identity. [para(15(b,1),2(a,1,1))].
% 7.16/7.43 219 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),63(a,1,1)),rewrite([1(2)]),flip(a)].
% 7.16/7.43 242 inverse(sk_c5) = sk_c11 | multiply(sk_c2,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(29(a,1),63(a,1,1)),flip(b)].
% 7.16/7.43 252 inverse(sk_c2) = sk_c11 | multiply(sk_c5,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(34(b,1),63(a,1,1)),flip(b)].
% 7.16/7.43 264 inverse(sk_c3) = sk_c10 | multiply(sk_c6,multiply(sk_c9,A)) = multiply(sk_c12,A). [para(40(b,1),63(a,1,1)),flip(b)].
% 7.16/7.43 285 multiply(sk_c1,sk_c12) = sk_c11 | multiply(A,multiply(sk_c6,sk_c9)) = multiply(A,sk_c12). [para(50(b,1),63(a,2,2)),rewrite([63(9)])].
% 7.16/7.43 409 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(C) != sk_c10 | multiply(C,sk_c12) != sk_c10 | multiply(D,E) != sk_c12 | inverse(D) != E | multiply(E,sk_c11) != sk_c12 | inverse(inverse(E)) != identity | inverse(identity) != E. [resolve(71,l,2,a)].
% 7.16/7.43 1321 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(C) != sk_c10 | multiply(C,sk_c12) != sk_c10 | multiply(C,sk_c10) != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12 | inverse(inverse(sk_c10)) != identity | inverse(identity) != sk_c10. [factor(409,e,h)].
% 7.16/7.43 4216 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | inverse(identity) != sk_c10 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12 | inverse(inverse(sk_c10)) != identity. [factor(1321,e,j),rewrite([1(21),1(24)]),flip(f),merge(g)].
% 7.16/7.43 8689 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),219(a,1,2))].
% 7.16/7.43 8731 inverse(sk_c6) = sk_c9 | multiply(inverse(sk_c3),sk_c10) = sk_c12. [para(45(a,1),219(a,1,2))].
% 7.16/7.43 8747 multiply(sk_c9,sk_c11) = sk_c12 | multiply(inverse(sk_c3),sk_c10) = sk_c12. [para(61(a,1),219(a,1,2))].
% 7.16/7.43 8768 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(219(a,1),219(a,1,2))].
% 7.16/7.43 8801 multiply(A,identity) = A. [back_rewrite(8689),rewrite([8768(4)])].
% 7.16/7.43 8864 inverse(identity) = identity. [para(8801(a,1),2(a,1))].
% 7.16/7.43 9155 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | identity != sk_c10 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12 | inverse(inverse(sk_c10)) != identity. [back_rewrite(4216),rewrite([8864(16)])].
% 7.16/7.43 9310 inverse(sk_c1) = sk_c12 | inverse(sk_c9) = sk_c6. [para(206(b,1),219(a,1,2)),rewrite([8801(8)])].
% 7.16/7.43 9497 inverse(sk_c2) = sk_c11 | inverse(sk_c11) = sk_c5. [para(210(b,1),219(a,1,2)),rewrite([8801(8)])].
% 7.16/7.43 9525 inverse(sk_c11) = sk_c5 | multiply(sk_c11,sk_c2) = identity. [para(9497(a,1),2(a,1,1))].
% 7.16/7.43 9747 inverse(sk_c3) = sk_c10 | inverse(sk_c9) = sk_c6. [para(216(b,1),219(a,1,2)),rewrite([8801(8)])].
% 7.16/7.43 9821 multiply(A,inverse(A)) = identity. [para(8768(a,1),2(a,1))].
% 7.16/7.43 10193 inverse(inverse(A)) = A. [para(8768(a,1),8801(a,1)),rewrite([8801(2)]),flip(a)].
% 7.16/7.43 10252 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | multiply(B,sk_c11) != sk_c10 | inverse(B) != sk_c11 | identity != sk_c10 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12. [back_rewrite(9155),rewrite([10193(28)]),flip(h),merge(h)].
% 7.16/7.43 10681 inverse(sk_c9) = sk_c6 | inverse(sk_c12) = sk_c1. [para(9310(a,1),10193(a,1,1))].
% 7.16/7.43 10689 inverse(sk_c9) = sk_c6 | inverse(sk_c10) = sk_c3. [para(9747(a,1),10193(a,1,1))].
% 7.16/7.43 10708 inverse(sk_c1) = sk_c12 | multiply(sk_c4,sk_c12) = identity. [para(3(b,1),9821(a,1,2))].
% 7.16/7.43 10828 inverse(sk_c12) = sk_c1 | multiply(sk_c6,sk_c9) = identity. [para(10681(a,1),2(a,1,1))].
% 7.16/7.43 11246 inverse(sk_c10) = sk_c3 | inverse(sk_c6) = sk_c9. [para(10689(a,1),10193(a,1,1))].
% 7.16/7.43 11511 multiply(A,sk_c12) != sk_c11 | inverse(A) != sk_c12 | identity != sk_c10 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12. [para(2(a,1),10252(c,1)),rewrite([10193(13)]),xx(d),merge(d)].
% 7.16/7.43 11532 identity != sk_c11 | identity != sk_c10 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12. [para(2(a,1),11511(a,1)),rewrite([10193(6)]),xx(b)].
% 7.16/7.43 12994 inverse(sk_c1) = sk_c12 | identity = sk_c11. [para(10708(b,1),23(b,1)),merge(b)].
% 7.16/7.43 13030 identity = sk_c11 | multiply(sk_c1,sk_c12) = identity. [para(12994(a,1),9821(a,1,2))].
% 7.16/7.43 13335 identity = sk_c11 | inverse(sk_c4) = sk_c12. [para(13030(b,1),18(a,1)),merge(b)].
% 7.16/7.43 13372 identity = sk_c11 | multiply(sk_c4,sk_c12) = identity. [para(13335(b,1),9821(a,1,2))].
% 7.16/7.43 14791 identity = sk_c11 | multiply(sk_c1,sk_c12) = sk_c11. [para(13372(b,1),48(b,1)),merge(c)].
% 7.16/7.43 14832 inverse(sk_c5) = sk_c11 | multiply(sk_c10,inverse(sk_c11)) = sk_c2. [para(9821(a,1),242(b,1,2)),rewrite([8801(7)]),flip(b)].
% 7.16/7.43 21531 inverse(sk_c2) = sk_c11 | multiply(sk_c10,inverse(sk_c11)) = sk_c5. [para(9821(a,1),252(b,1,2)),rewrite([8801(7)]),flip(b)].
% 7.16/7.43 22320 identity = sk_c11. [para(14791(b,1),13030(b,1)),flip(c),merge(b),merge(c)].
% 7.16/7.43 23394 sk_c10 != sk_c11 | sk_c10 != sk_c12 | multiply(sk_c10,sk_c11) != sk_c12. [back_rewrite(11532),rewrite([22320(1),22320(4)]),flip(b),xx(a)].
% 7.16/7.43 23928 inverse(sk_c12) = sk_c1 | multiply(sk_c6,sk_c9) = sk_c11. [back_rewrite(10828),rewrite([22320(8)])].
% 7.16/7.43 24197 multiply(A,inverse(A)) = sk_c11. [back_rewrite(9821),rewrite([22320(3)])].
% 7.16/7.43 24214 inverse(sk_c11) = sk_c5 | multiply(sk_c11,sk_c2) = sk_c11. [back_rewrite(9525),rewrite([22320(8)])].
% 7.16/7.43 24385 inverse(sk_c11) = sk_c11. [back_rewrite(8864),rewrite([22320(1),22320(3)])].
% 7.16/7.43 24388 multiply(A,sk_c11) = A. [back_rewrite(8801),rewrite([22320(1)])].
% 7.16/7.43 24406 multiply(inverse(A),A) = sk_c11. [back_rewrite(2),rewrite([22320(3)])].
% 7.16/7.43 24407 multiply(sk_c11,A) = A. [back_rewrite(1),rewrite([22320(1)])].
% 7.16/7.43 24503 sk_c5 = sk_c11 | sk_c2 = sk_c11. [back_rewrite(24214),rewrite([24385(2),24407(6)]),flip(a)].
% 7.16/7.43 24691 inverse(sk_c2) = sk_c11 | sk_c5 = sk_c10. [back_rewrite(21531),rewrite([24385(7),24388(7)]),flip(b)].
% 7.16/7.43 24700 inverse(sk_c5) = sk_c11 | sk_c2 = sk_c10. [back_rewrite(14832),rewrite([24385(7),24388(7)]),flip(b)].
% 7.16/7.43 25200 sk_c10 != sk_c11 | sk_c10 != sk_c12. [back_rewrite(23394),rewrite([24388(9)]),merge(c)].
% 7.16/7.43 25358 sk_c9 = sk_c12 | multiply(inverse(sk_c3),sk_c10) = sk_c12. [back_rewrite(8747),rewrite([24388(3)])].
% 7.16/7.43 27296 sk_c2 = sk_c10 | sk_c5 = sk_c10. [back_rewrite(54),rewrite([24388(3),24388(6)])].
% 7.16/7.43 27300 inverse(sk_c3) = sk_c10 | sk_c9 = sk_c12. [back_rewrite(41),rewrite([24388(7)])].
% 7.16/7.43 28221 sk_c5 = sk_c10 | sk_c2 = sk_c11. [para(24691(a,1),10193(a,1,1)),rewrite([24385(5)]),flip(b)].
% 7.16/7.43 28247 sk_c2 = sk_c11 | sk_c10 = sk_c11. [para(28221(a,1),24503(a,1)),merge(c)].
% 7.16/7.43 28323 sk_c2 = sk_c10 | sk_c5 = sk_c11. [para(24700(a,1),10193(a,1,1)),rewrite([24385(5)]),flip(b)].
% 7.16/7.43 28325 sk_c2 = sk_c10 | sk_c10 = sk_c11. [para(28323(b,1),27296(b,1)),flip(c),merge(b)].
% 7.16/7.43 28331 inverse(sk_c3) = sk_c10 | multiply(sk_c12,inverse(sk_c9)) = sk_c6. [para(24197(a,1),264(b,1,2)),rewrite([24388(7)]),flip(b)].
% 7.16/7.43 28375 sk_c10 = sk_c11. [para(28325(a,1),28247(a,1)),merge(b),merge(c)].
% 7.16/7.43 28396 inverse(sk_c3) = sk_c11 | multiply(sk_c12,inverse(sk_c9)) = sk_c6. [back_rewrite(28331),rewrite([28375(3)])].
% 7.16/7.43 29013 inverse(sk_c3) = sk_c11 | sk_c9 = sk_c12. [back_rewrite(27300),rewrite([28375(3)])].
% 7.16/7.43 30235 sk_c9 = sk_c12 | inverse(sk_c3) = sk_c12. [back_rewrite(25358),rewrite([28375(6),24388(7)])].
% 7.16/7.43 30304 sk_c12 != sk_c11. [back_rewrite(25200),rewrite([28375(1),28375(4)]),flip(b),xx(a)].
% 7.16/7.43 30399 sk_c3 = sk_c11 | inverse(sk_c6) = sk_c9. [back_rewrite(11246),rewrite([28375(1),24385(2)]),flip(a)].
% 7.16/7.43 30432 inverse(sk_c6) = sk_c9 | inverse(sk_c3) = sk_c12. [back_rewrite(8731),rewrite([28375(7),24388(8)])].
% 7.16/7.43 30462 multiply(sk_c3,sk_c12) = sk_c11 | multiply(sk_c6,sk_c9) = sk_c12. [back_rewrite(60),rewrite([28375(4)])].
% 7.16/7.43 31736 multiply(sk_c1,sk_c12) = sk_c11 | multiply(inverse(multiply(sk_c6,sk_c9)),sk_c12) = sk_c11. [para(285(b,1),24406(a,1))].
% 7.16/7.43 31944 sk_c9 = sk_c12. [para(30235(b,1),29013(a,1)),merge(c),unit_del(b,30304)].
% 7.16/7.43 32020 multiply(sk_c1,sk_c12) = sk_c11 | multiply(inverse(multiply(sk_c6,sk_c12)),sk_c12) = sk_c11. [back_rewrite(31736),rewrite([31944(7)])].
% 7.16/7.43 32201 multiply(sk_c3,sk_c12) = sk_c11 | multiply(sk_c6,sk_c12) = sk_c12. [back_rewrite(30462),rewrite([31944(7)])].
% 7.16/7.43 32219 inverse(sk_c6) = sk_c12 | inverse(sk_c3) = sk_c12. [back_rewrite(30432),rewrite([31944(3)])].
% 7.16/7.43 32238 sk_c3 = sk_c11 | inverse(sk_c6) = sk_c12. [back_rewrite(30399),rewrite([31944(6)])].
% 7.16/7.43 32493 inverse(sk_c3) = sk_c11 | sk_c6 = sk_c11. [back_rewrite(28396),rewrite([31944(6),24197(8)]),flip(b)].
% 7.16/7.43 32590 inverse(sk_c12) = sk_c1 | multiply(sk_c6,sk_c12) = sk_c11. [back_rewrite(23928),rewrite([31944(6)])].
% 7.16/7.43 32872 sk_c6 = sk_c11 | sk_c3 = sk_c11. [para(32493(a,1),10193(a,1,1)),rewrite([24385(5)]),flip(b)].
% 7.16/7.43 33019 sk_c3 = sk_c11. [para(32872(a,1),32238(b,1,1)),rewrite([24385(8)]),flip(c),merge(b),unit_del(b,30304)].
% 7.16/7.43 33084 inverse(sk_c6) = sk_c12. [back_rewrite(32219),rewrite([33019(5),24385(6)]),flip(b),unit_del(b,30304)].
% 7.16/7.43 33090 multiply(sk_c6,sk_c12) = sk_c12. [back_rewrite(32201),rewrite([33019(1),24407(3)]),unit_del(a,30304)].
% 7.16/7.43 33240 inverse(sk_c12) = sk_c1. [back_rewrite(32590),rewrite([33090(7)]),unit_del(b,30304)].
% 7.16/7.43 33243 multiply(sk_c1,sk_c12) = sk_c11. [back_rewrite(32020),rewrite([33090(8),33240(7)]),merge(b)].
% 7.16/7.43 33309 sk_c6 = sk_c1. [para(33084(a,1),10193(a,1,1)),rewrite([33240(2)]),flip(a)].
% 7.16/7.43 33312 $F. [back_rewrite(33090),rewrite([33309(1),33243(3)]),flip(a),unit_del(a,30304)].
% 7.16/7.43
% 7.16/7.43 % SZS output end Refutation
% 7.16/7.43 ============================== end of proof ==========================
% 7.16/7.43
% 7.16/7.43 ============================== STATISTICS ============================
% 7.16/7.43
% 7.16/7.43 Given=715. Generated=115084. Kept=33311. proofs=1.
% 7.16/7.43 Usable=41. Sos=126. Demods=39. Limbo=3, Disabled=33205. Hints=0.
% 7.16/7.43 Megabytes=37.21.
% 7.16/7.43 User_CPU=6.34, System_CPU=0.07, Wall_clock=7.
% 7.16/7.43
% 7.16/7.43 ============================== end of statistics =====================
% 7.16/7.43
% 7.16/7.43 ============================== end of search =========================
% 7.16/7.43
% 7.16/7.43 THEOREM PROVED
% 7.16/7.43 % SZS status Unsatisfiable
% 7.16/7.43
% 7.16/7.43 Exiting with 1 proof.
% 7.16/7.43
% 7.16/7.43 Process 20278 exit (max_proofs) Tue Jun 14 07:33:01 2022
% 7.16/7.43 Prover9 interrupted
%------------------------------------------------------------------------------