TSTP Solution File: GRP271-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP271-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 11:18:25 EDT 2022
% Result : Unsatisfiable 3.96s 4.27s
% Output : Refutation 3.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GRP271-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.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 00:59:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.96/4.27 ============================== Prover9 ===============================
% 3.96/4.27 Prover9 (32) version 2009-11A, November 2009.
% 3.96/4.27 Process 12832 was started by sandbox2 on n006.cluster.edu,
% 3.96/4.27 Tue Jun 14 00:59:27 2022
% 3.96/4.27 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12679_n006.cluster.edu".
% 3.96/4.27 ============================== end of head ===========================
% 3.96/4.27
% 3.96/4.27 ============================== INPUT =================================
% 3.96/4.27
% 3.96/4.27 % Reading from file /tmp/Prover9_12679_n006.cluster.edu
% 3.96/4.27
% 3.96/4.27 set(prolog_style_variables).
% 3.96/4.27 set(auto2).
% 3.96/4.27 % set(auto2) -> set(auto).
% 3.96/4.27 % set(auto) -> set(auto_inference).
% 3.96/4.27 % set(auto) -> set(auto_setup).
% 3.96/4.27 % set(auto_setup) -> set(predicate_elim).
% 3.96/4.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.96/4.27 % set(auto) -> set(auto_limits).
% 3.96/4.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.96/4.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.96/4.27 % set(auto) -> set(auto_denials).
% 3.96/4.27 % set(auto) -> set(auto_process).
% 3.96/4.27 % set(auto2) -> assign(new_constants, 1).
% 3.96/4.27 % set(auto2) -> assign(fold_denial_max, 3).
% 3.96/4.27 % set(auto2) -> assign(max_weight, "200.000").
% 3.96/4.27 % set(auto2) -> assign(max_hours, 1).
% 3.96/4.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.96/4.27 % set(auto2) -> assign(max_seconds, 0).
% 3.96/4.27 % set(auto2) -> assign(max_minutes, 5).
% 3.96/4.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.96/4.27 % set(auto2) -> set(sort_initial_sos).
% 3.96/4.27 % set(auto2) -> assign(sos_limit, -1).
% 3.96/4.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.96/4.27 % set(auto2) -> assign(max_megs, 400).
% 3.96/4.27 % set(auto2) -> assign(stats, some).
% 3.96/4.27 % set(auto2) -> clear(echo_input).
% 3.96/4.27 % set(auto2) -> set(quiet).
% 3.96/4.27 % set(auto2) -> clear(print_initial_clauses).
% 3.96/4.27 % set(auto2) -> clear(print_given).
% 3.96/4.27 assign(lrs_ticks,-1).
% 3.96/4.27 assign(sos_limit,10000).
% 3.96/4.27 assign(order,kbo).
% 3.96/4.27 set(lex_order_vars).
% 3.96/4.27 clear(print_given).
% 3.96/4.27
% 3.96/4.27 % formulas(sos). % not echoed (54 formulas)
% 3.96/4.27
% 3.96/4.27 ============================== end of input ==========================
% 3.96/4.27
% 3.96/4.27 % From the command line: assign(max_seconds, 300).
% 3.96/4.27
% 3.96/4.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.96/4.27
% 3.96/4.27 % Formulas that are not ordinary clauses:
% 3.96/4.27
% 3.96/4.27 ============================== end of process non-clausal formulas ===
% 3.96/4.27
% 3.96/4.27 ============================== PROCESS INITIAL CLAUSES ===============
% 3.96/4.27
% 3.96/4.27 ============================== PREDICATE ELIMINATION =================
% 3.96/4.27
% 3.96/4.27 ============================== end predicate elimination =============
% 3.96/4.27
% 3.96/4.27 Auto_denials: (non-Horn, no changes).
% 3.96/4.27
% 3.96/4.27 Term ordering decisions:
% 3.96/4.27
% 3.96/4.27 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 3.96/4.27 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.
% 3.96/4.27
% 3.96/4.27 ============================== end of process initial clauses ========
% 3.96/4.27
% 3.96/4.27 ============================== CLAUSES FOR SEARCH ====================
% 3.96/4.27
% 3.96/4.27 ============================== end of clauses for search =============
% 3.96/4.27
% 3.96/4.27 ============================== SEARCH ================================
% 3.96/4.27
% 3.96/4.27 % Starting search at 0.05 seconds.
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=49.000, iters=3365
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=48.000, iters=3371
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=47.000, iters=3393
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=46.000, iters=3349
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=45.000, iters=3376
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=44.000, iters=3479
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=43.000, iters=3334
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=40.000, iters=3336
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=39.000, iters=3476
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=38.000, iters=3377
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=37.000, iters=3457
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=36.000, iters=3394
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=35.000, iters=3423
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=34.000, iters=3439
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=33.000, iters=3517
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=32.000, iters=3345
% 3.96/4.27
% 3.96/4.27 Low Water (keep): wt=31.000, iters=3364
% 3.96/4.27
% 3.96/4.27 ============================== PROOF =================================
% 3.96/4.27 % SZS status Unsatisfiable
% 3.96/4.27 % SZS output start Refutation
% 3.96/4.27
% 3.96/4.27 % Proof 1 at 3.27 (+ 0.03) seconds.
% 3.96/4.27 % Length of proof is 98.
% 3.96/4.27 % Level of proof is 22.
% 3.96/4.27 % Maximum clause weight is 68.000.
% 3.96/4.27 % Given clauses 532.
% 3.96/4.27
% 3.96/4.27 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 3.96/4.27 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 3.96/4.27 3 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 3.96/4.27 9 inverse(sk_c2) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_44) # label(negated_conjecture). [assumption].
% 3.96/4.27 13 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 3.96/4.27 15 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 3.96/4.27 18 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 3.96/4.27 21 inverse(sk_c1) = sk_c11 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 3.96/4.27 22 inverse(sk_c1) = sk_c11 | multiply(sk_c7,sk_c8) = sk_c6 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 3.96/4.27 25 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 3.96/4.27 26 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c7) = sk_c6 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 3.96/4.27 27 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c6) = sk_c8 # label(prove_this_29) # label(negated_conjecture). [assumption].
% 3.96/4.27 29 multiply(sk_c2,sk_c10) = sk_c9 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 3.96/4.27 34 inverse(sk_c2) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_43) # label(negated_conjecture). [assumption].
% 3.96/4.27 38 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 3.96/4.27 42 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c7,sk_c8) = sk_c6 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 3.96/4.27 45 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 3.96/4.27 46 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c8,sk_c10) = sk_c11 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 3.96/4.27 47 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c7,sk_c8) = sk_c6 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 3.96/4.27 49 multiply(sk_c2,sk_c10) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 3.96/4.27 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 3.96/4.27 54 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | 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].
% 3.96/4.27 55 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | 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)].
% 3.96/4.27 62 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c10) != sk_c9 | inverse(B) != sk_c10 | 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,d,f),merge(f)].
% 3.96/4.27 161 inverse(sk_c2) = sk_c10 | multiply(sk_c10,sk_c4) = identity. [para(9(b,1),2(a,1,1))].
% 3.96/4.27 165 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 3.96/4.27 170 inverse(sk_c5) = sk_c8 | multiply(sk_c1,multiply(sk_c11,A)) = multiply(sk_c10,A). [para(15(a,1),53(a,1,1)),flip(b)].
% 3.96/4.27 183 inverse(sk_c1) = sk_c11 | multiply(A,multiply(sk_c8,sk_c10)) = multiply(A,sk_c11). [para(21(b,1),53(a,2,2)),rewrite([53(8)])].
% 3.96/4.27 184 inverse(sk_c1) = sk_c11 | multiply(sk_c7,multiply(sk_c8,A)) = multiply(sk_c6,A). [para(22(b,1),53(a,1,1)),flip(b)].
% 3.96/4.27 190 inverse(sk_c5) = sk_c8 | multiply(sk_c11,multiply(sk_c9,A)) = multiply(sk_c10,A). [para(25(a,1),53(a,1,1)),flip(b)].
% 3.96/4.27 192 inverse(sk_c7) = sk_c6 | multiply(sk_c11,multiply(sk_c9,A)) = multiply(sk_c10,A). [para(26(a,1),53(a,1,1)),flip(b)].
% 3.96/4.27 224 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c7,multiply(sk_c8,A)) = multiply(sk_c6,A). [para(42(b,1),53(a,1,1)),flip(b)].
% 3.96/4.27 230 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,multiply(sk_c8,A)) = multiply(sk_c11,A). [para(45(b,1),53(a,1,1)),flip(b)].
% 3.96/4.27 331 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | 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),62(a,1))].
% 3.96/4.27 1020 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | multiply(A,C) != sk_c10. [factor(331,e,i)].
% 3.96/4.27 4141 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),165(a,1,2))].
% 3.96/4.27 4183 multiply(sk_c11,sk_c9) = sk_c10 | multiply(inverse(sk_c5),sk_c11) = sk_c8. [para(45(b,1),165(a,1,2))].
% 3.96/4.27 4207 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(165(a,1),165(a,1,2))].
% 3.96/4.27 4235 multiply(A,identity) = A. [back_rewrite(4141),rewrite([4207(4)])].
% 3.96/4.27 4279 inverse(identity) = identity. [para(4235(a,1),2(a,1))].
% 3.96/4.27 4758 inverse(sk_c2) = sk_c10 | inverse(sk_c10) = sk_c4. [para(161(b,1),165(a,1,2)),rewrite([4235(8)])].
% 3.96/4.27 4823 inverse(sk_c10) = sk_c4 | multiply(sk_c10,sk_c2) = identity. [para(4758(a,1),2(a,1,1))].
% 3.96/4.27 5048 multiply(A,inverse(A)) = identity. [para(4207(a,1),2(a,1))].
% 3.96/4.27 5233 inverse(inverse(A)) = A. [para(4207(a,1),4235(a,1)),rewrite([4235(2)]),flip(a)].
% 3.96/4.27 5464 identity != sk_c10 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | 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(1020),rewrite([5233(6)]),xx(b)].
% 3.96/4.27 5582 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(3(b,1),5048(a,1,2))].
% 3.96/4.27 5944 inverse(sk_c5) = sk_c8 | multiply(sk_c1,sk_c10) = multiply(sk_c10,sk_c9). [para(25(a,1),170(b,1,2)),merge(b)].
% 3.96/4.27 6602 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(5582(b,1),18(b,1)),merge(b)].
% 3.96/4.27 6611 identity = sk_c10 | multiply(sk_c1,sk_c11) = identity. [para(6602(a,1),5048(a,1,2))].
% 3.96/4.27 6684 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(6611(b,1),13(a,1)),merge(b)].
% 3.96/4.27 6695 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(6684(b,1),5048(a,1,2))].
% 3.96/4.27 7692 inverse(sk_c1) = sk_c11 | multiply(sk_c7,multiply(sk_c8,sk_c11)) = multiply(sk_c6,multiply(sk_c8,sk_c10)). [para(183(b,1),184(b,1,2)),merge(b)].
% 3.96/4.27 7858 identity = sk_c10 | multiply(sk_c1,sk_c11) = sk_c10. [para(6695(b,1),38(b,1)),merge(c)].
% 3.96/4.27 8929 inverse(sk_c5) = sk_c8 | multiply(sk_c10,inverse(sk_c9)) = sk_c11. [para(5048(a,1),190(b,1,2)),rewrite([4235(7)]),flip(b)].
% 3.96/4.27 9528 inverse(sk_c7) = sk_c6 | multiply(sk_c10,inverse(sk_c9)) = sk_c11. [para(5048(a,1),192(b,1,2)),rewrite([4235(7)]),flip(b)].
% 3.96/4.27 9850 identity = sk_c10. [para(7858(b,1),6611(b,1)),flip(c),merge(b),merge(c)].
% 3.96/4.27 12462 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c10) != sk_c9 | inverse(A) != sk_c10 | 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(5464),rewrite([9850(1)]),xx(a)].
% 3.96/4.27 12577 multiply(A,inverse(A)) = sk_c10. [back_rewrite(5048),rewrite([9850(3)])].
% 3.96/4.27 12639 inverse(sk_c10) = sk_c4 | multiply(sk_c10,sk_c2) = sk_c10. [back_rewrite(4823),rewrite([9850(8)])].
% 3.96/4.27 12695 inverse(sk_c10) = sk_c10. [back_rewrite(4279),rewrite([9850(1),9850(3)])].
% 3.96/4.27 12696 multiply(A,sk_c10) = A. [back_rewrite(4235),rewrite([9850(1)])].
% 3.96/4.27 12717 multiply(inverse(A),A) = sk_c10. [back_rewrite(2),rewrite([9850(3)])].
% 3.96/4.27 12718 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([9850(1)])].
% 3.96/4.27 12787 multiply(sk_c11,sk_c9) != sk_c10 | sk_c9 != A | inverse(A) != sk_c10 | sk_c11 != B | sk_c10 != B | multiply(A,B) != sk_c10. [factor(12462,e,g),rewrite([12696(7),12718(12),12695(14),12696(16)]),flip(b),flip(d),flip(f),merge(f)].
% 3.96/4.27 12840 sk_c4 = sk_c10 | sk_c2 = sk_c10. [back_rewrite(12639),rewrite([12695(2),12718(6)]),flip(a)].
% 3.96/4.27 13827 inverse(sk_c1) = sk_c11 | multiply(sk_c7,multiply(sk_c8,sk_c11)) = multiply(sk_c6,sk_c8). [back_rewrite(7692),rewrite([12696(13)])].
% 3.96/4.27 13869 inverse(sk_c5) = sk_c8 | sk_c1 = sk_c9. [back_rewrite(5944),rewrite([12696(7),12718(8)])].
% 3.96/4.27 14653 sk_c2 = sk_c9 | sk_c4 = sk_c9. [back_rewrite(49),rewrite([12696(3),12696(6)])].
% 3.96/4.27 14655 multiply(sk_c11,sk_c9) = sk_c10 | sk_c8 = sk_c11. [back_rewrite(46),rewrite([12696(8)])].
% 3.96/4.27 14660 inverse(sk_c2) = sk_c10 | sk_c4 = sk_c9. [back_rewrite(34),rewrite([12696(7)])].
% 3.96/4.27 14664 sk_c2 = sk_c9 | inverse(sk_c4) = sk_c10. [back_rewrite(29),rewrite([12696(3)])].
% 3.96/4.27 14670 inverse(sk_c7) = sk_c6 | inverse(sk_c9) = sk_c11. [back_rewrite(9528),rewrite([12718(8)])].
% 3.96/4.27 14675 inverse(sk_c5) = sk_c8 | inverse(sk_c9) = sk_c11. [back_rewrite(8929),rewrite([12718(8)])].
% 3.96/4.27 15166 multiply(sk_c11,sk_c9) != sk_c10 | inverse(A) != sk_c9 | sk_c10 != A | sk_c11 != A. [resolve(12787,f,12717,a),rewrite([5233(10)]),flip(b),flip(c),merge(e)].
% 3.96/4.27 15225 multiply(sk_c11,sk_c9) != sk_c10 | inverse(sk_c9) != sk_c10 | inverse(sk_c9) != sk_c11. [resolve(15166,b,5233,a),flip(b),flip(c)].
% 3.96/4.27 15415 sk_c1 = sk_c9 | multiply(sk_c8,sk_c5) = sk_c10. [para(13869(a,1),12717(a,1,1))].
% 3.96/4.27 15431 multiply(sk_c1,sk_c11) = sk_c10 | multiply(inverse(sk_c7),multiply(sk_c6,A)) = multiply(sk_c8,A). [para(224(b,1),165(a,1,2))].
% 3.96/4.27 15436 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c7,multiply(sk_c8,inverse(sk_c6))) = sk_c10. [para(12577(a,1),224(b,2))].
% 3.96/4.27 15699 sk_c4 = sk_c9 | sk_c2 = sk_c10. [para(14660(a,1),5233(a,1,1)),rewrite([12695(5)]),flip(b)].
% 3.96/4.27 15709 sk_c2 = sk_c10 | sk_c9 = sk_c10. [para(15699(a,1),12840(a,1)),merge(c)].
% 3.96/4.27 15724 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c11,inverse(sk_c8)) = sk_c5. [para(12577(a,1),230(b,1,2)),rewrite([12696(8)]),flip(b)].
% 3.96/4.27 15854 sk_c2 = sk_c9 | sk_c4 = sk_c10. [para(14664(b,1),5233(a,1,1)),rewrite([12695(5)]),flip(b)].
% 3.96/4.27 15961 sk_c2 = sk_c9 | sk_c9 = sk_c10. [para(15854(b,1),14653(b,1)),flip(c),merge(b)].
% 3.96/4.27 15988 sk_c9 = sk_c10. [para(15961(a,1),15709(a,1)),merge(b),merge(c)].
% 3.96/4.27 16127 sk_c11 = sk_c10 | multiply(sk_c11,inverse(sk_c8)) = sk_c5. [back_rewrite(15724),rewrite([15988(2),12696(3)])].
% 3.96/4.27 16267 sk_c1 = sk_c10 | multiply(sk_c8,sk_c5) = sk_c10. [back_rewrite(15415),rewrite([15988(2)])].
% 3.96/4.27 16395 sk_c11 != sk_c10. [back_rewrite(15225),rewrite([15988(2),12696(3),15988(4),12695(5),15988(7),12695(8)]),flip(c),xx(b),merge(b)].
% 3.96/4.27 16436 inverse(sk_c5) = sk_c8. [back_rewrite(14675),rewrite([15988(5),12695(6)]),flip(b),unit_del(b,16395)].
% 3.96/4.27 16439 inverse(sk_c7) = sk_c6. [back_rewrite(14670),rewrite([15988(5),12695(6)]),flip(b),unit_del(b,16395)].
% 3.96/4.27 16441 sk_c8 = sk_c11. [back_rewrite(14655),rewrite([15988(2),12696(3)]),unit_del(a,16395)].
% 3.96/4.27 16475 multiply(sk_c11,sk_c11) = sk_c11. [back_rewrite(4183),rewrite([15988(2),12696(3),16436(5),16441(4),16441(7)]),unit_del(a,16395)].
% 3.96/4.27 16481 multiply(sk_c7,sk_c11) = sk_c6. [back_rewrite(47),rewrite([15988(2),12696(3),16441(5)]),unit_del(a,16395)].
% 3.96/4.27 16484 inverse(sk_c6) = sk_c11. [back_rewrite(27),rewrite([15988(2),12696(3),16441(6)]),unit_del(a,16395)].
% 3.96/4.27 16491 sk_c5 = sk_c10. [back_unit_del(16127),rewrite([16441(5),12577(7)]),flip(b),unit_del(a,16395)].
% 3.96/4.27 16504 sk_c1 = sk_c10. [back_rewrite(16267),rewrite([16441(4),16491(5),12696(6)]),unit_del(b,16395)].
% 3.96/4.27 16507 sk_c6 = sk_c10. [back_rewrite(15436),rewrite([16504(1),12718(3),16441(5),16484(7),16475(7),16481(6)]),unit_del(a,16395)].
% 3.96/4.27 16509 multiply(sk_c11,A) = A. [back_rewrite(15431),rewrite([16504(1),12718(3),16439(5),16507(4),16507(5),12718(6),12718(5),16441(4)]),flip(b),unit_del(a,16395)].
% 3.96/4.27 16514 $F. [back_rewrite(13827),rewrite([16504(1),12695(2),16441(5),16509(7),16481(6),16507(4),16507(5),16441(6),12718(7)]),flip(a),flip(b),merge(b),unit_del(a,16395)].
% 3.96/4.27
% 3.96/4.27 % SZS output end Refutation
% 3.96/4.27 ============================== end of proof ==========================
% 3.96/4.27
% 3.96/4.27 ============================== STATISTICS ============================
% 3.96/4.27
% 3.96/4.27 Given=532. Generated=51792. Kept=16513. proofs=1.
% 3.96/4.27 Usable=96. Sos=408. Demods=45. Limbo=89, Disabled=15974. Hints=0.
% 3.96/4.27 Megabytes=18.58.
% 3.96/4.27 User_CPU=3.27, System_CPU=0.03, Wall_clock=3.
% 3.96/4.27
% 3.96/4.27 ============================== end of statistics =====================
% 3.96/4.27
% 3.96/4.27 ============================== end of search =========================
% 3.96/4.27
% 3.96/4.27 THEOREM PROVED
% 3.96/4.27 % SZS status Unsatisfiable
% 3.96/4.27
% 3.96/4.27 Exiting with 1 proof.
% 3.96/4.27
% 3.96/4.27 Process 12832 exit (max_proofs) Tue Jun 14 00:59:30 2022
% 3.96/4.27 Prover9 interrupted
%------------------------------------------------------------------------------