TSTP Solution File: GRP304-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 11:18:33 EDT 2022
% Result : Unsatisfiable 25.75s 26.05s
% Output : Refutation 25.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 13:59:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 25.75/26.05 ============================== Prover9 ===============================
% 25.75/26.05 Prover9 (32) version 2009-11A, November 2009.
% 25.75/26.05 Process 23471 was started by sandbox2 on n018.cluster.edu,
% 25.75/26.05 Mon Jun 13 13:59:28 2022
% 25.75/26.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23318_n018.cluster.edu".
% 25.75/26.05 ============================== end of head ===========================
% 25.75/26.05
% 25.75/26.05 ============================== INPUT =================================
% 25.75/26.05
% 25.75/26.05 % Reading from file /tmp/Prover9_23318_n018.cluster.edu
% 25.75/26.05
% 25.75/26.05 set(prolog_style_variables).
% 25.75/26.05 set(auto2).
% 25.75/26.05 % set(auto2) -> set(auto).
% 25.75/26.05 % set(auto) -> set(auto_inference).
% 25.75/26.05 % set(auto) -> set(auto_setup).
% 25.75/26.05 % set(auto_setup) -> set(predicate_elim).
% 25.75/26.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 25.75/26.05 % set(auto) -> set(auto_limits).
% 25.75/26.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 25.75/26.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 25.75/26.05 % set(auto) -> set(auto_denials).
% 25.75/26.05 % set(auto) -> set(auto_process).
% 25.75/26.05 % set(auto2) -> assign(new_constants, 1).
% 25.75/26.05 % set(auto2) -> assign(fold_denial_max, 3).
% 25.75/26.05 % set(auto2) -> assign(max_weight, "200.000").
% 25.75/26.05 % set(auto2) -> assign(max_hours, 1).
% 25.75/26.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 25.75/26.05 % set(auto2) -> assign(max_seconds, 0).
% 25.75/26.05 % set(auto2) -> assign(max_minutes, 5).
% 25.75/26.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 25.75/26.05 % set(auto2) -> set(sort_initial_sos).
% 25.75/26.05 % set(auto2) -> assign(sos_limit, -1).
% 25.75/26.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 25.75/26.05 % set(auto2) -> assign(max_megs, 400).
% 25.75/26.05 % set(auto2) -> assign(stats, some).
% 25.75/26.05 % set(auto2) -> clear(echo_input).
% 25.75/26.05 % set(auto2) -> set(quiet).
% 25.75/26.05 % set(auto2) -> clear(print_initial_clauses).
% 25.75/26.05 % set(auto2) -> clear(print_given).
% 25.75/26.05 assign(lrs_ticks,-1).
% 25.75/26.05 assign(sos_limit,10000).
% 25.75/26.05 assign(order,kbo).
% 25.75/26.05 set(lex_order_vars).
% 25.75/26.05 clear(print_given).
% 25.75/26.05
% 25.75/26.05 % formulas(sos). % not echoed (25 formulas)
% 25.75/26.05
% 25.75/26.05 ============================== end of input ==========================
% 25.75/26.05
% 25.75/26.05 % From the command line: assign(max_seconds, 300).
% 25.75/26.05
% 25.75/26.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 25.75/26.05
% 25.75/26.05 % Formulas that are not ordinary clauses:
% 25.75/26.05
% 25.75/26.05 ============================== end of process non-clausal formulas ===
% 25.75/26.05
% 25.75/26.05 ============================== PROCESS INITIAL CLAUSES ===============
% 25.75/26.05
% 25.75/26.05 ============================== PREDICATE ELIMINATION =================
% 25.75/26.05
% 25.75/26.05 ============================== end predicate elimination =============
% 25.75/26.05
% 25.75/26.05 Auto_denials: (non-Horn, no changes).
% 25.75/26.05
% 25.75/26.05 Term ordering decisions:
% 25.75/26.05
% 25.75/26.05 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 25.75/26.05 Function symbol KB weights: sk_c7=1. sk_c6=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 25.75/26.05
% 25.75/26.05 ============================== end of process initial clauses ========
% 25.75/26.05
% 25.75/26.05 ============================== CLAUSES FOR SEARCH ====================
% 25.75/26.05
% 25.75/26.05 ============================== end of clauses for search =============
% 25.75/26.05
% 25.75/26.05 ============================== SEARCH ================================
% 25.75/26.05
% 25.75/26.05 % Starting search at 0.01 seconds.
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=40.000, iters=3335
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=39.000, iters=3345
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=38.000, iters=3362
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=37.000, iters=3342
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=36.000, iters=3389
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=35.000, iters=3452
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=34.000, iters=3368
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=33.000, iters=3344
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=32.000, iters=3358
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=31.000, iters=3343
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=30.000, iters=3350
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=29.000, iters=3358
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=28.000, iters=3387
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=27.000, iters=3334
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=19.000, iters=3333
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=18.000, iters=3333
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=17.000, iters=3335
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=16.000, iters=3335
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=15.000, iters=3348
% 25.75/26.05
% 25.75/26.05 Low Water (displace): id=1277, wt=53.000
% 25.75/26.05
% 25.75/26.05 Low Water (displace): id=15105, wt=12.000
% 25.75/26.05
% 25.75/26.05 Low Water (keep): wt=14.000, iters=3345
% 25.75/26.05
% 25.75/26.05 Low Water (displace): id=15967, wt=11.000
% 25.75/26.05
% 25.75/26.05 ============================== PROOF =================================
% 25.75/26.05 % SZS status Unsatisfiable
% 25.75/26.05 % SZS output start Refutation
% 25.75/26.05
% 25.75/26.05 % Proof 1 at 24.41 (+ 0.68) seconds.
% 25.75/26.05 % Length of proof is 195.
% 25.75/26.05 % Level of proof is 32.
% 25.75/26.05 % Maximum clause weight is 45.000.
% 25.75/26.05 % Given clauses 3253.
% 25.75/26.05
% 25.75/26.05 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 25.75/26.05 2 multiply(sk_c7,sk_c6) = sk_c5 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 25.75/26.05 3 sk_c5 = multiply(sk_c7,sk_c6). [copy(2),flip(a)].
% 25.75/26.05 4 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 25.75/26.05 5 inverse(sk_c7) = sk_c5 | inverse(sk_c2) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 25.75/26.05 6 multiply(sk_c7,sk_c6) = inverse(sk_c7) | inverse(sk_c2) = sk_c7. [copy(5),rewrite([3(3)]),flip(a)].
% 25.75/26.05 7 inverse(sk_c7) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 25.75/26.05 8 multiply(sk_c7,sk_c6) = inverse(sk_c7) | inverse(sk_c3) = sk_c7. [copy(7),rewrite([3(3)]),flip(a)].
% 25.75/26.05 9 inverse(sk_c1) = sk_c6 | inverse(sk_c2) = sk_c7 # label(prove_this_18) # label(negated_conjecture). [assumption].
% 25.75/26.05 10 inverse(sk_c1) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_21) # label(negated_conjecture). [assumption].
% 25.75/26.05 11 multiply(sk_c6,sk_c7) = sk_c5 | inverse(sk_c2) = sk_c7 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 25.75/26.05 12 multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) | inverse(sk_c2) = sk_c7. [copy(11),rewrite([3(4)])].
% 25.75/26.05 13 multiply(sk_c6,sk_c7) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 25.75/26.05 14 multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) | inverse(sk_c3) = sk_c7. [copy(13),rewrite([3(4)])].
% 25.75/26.05 17 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_9) # label(negated_conjecture). [assumption].
% 25.75/26.05 18 multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(sk_c7,sk_c4) = sk_c6. [copy(17),rewrite([3(3)]),flip(a)].
% 25.75/26.05 19 inverse(sk_c7) = sk_c5 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 25.75/26.05 20 multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(sk_c3,sk_c7) = sk_c4. [copy(19),rewrite([3(3)]),flip(a)].
% 25.75/26.05 21 multiply(sk_c1,sk_c6) = sk_c7 | inverse(sk_c2) = sk_c7 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 25.75/26.05 22 multiply(sk_c1,sk_c6) = sk_c7 | inverse(sk_c3) = sk_c7 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 25.75/26.05 23 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c7) = sk_c6 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 25.75/26.05 24 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_19) # label(negated_conjecture). [assumption].
% 25.75/26.05 25 inverse(sk_c1) = sk_c6 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_20) # label(negated_conjecture). [assumption].
% 25.75/26.05 28 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 25.75/26.05 29 multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c4) = sk_c6. [copy(28),rewrite([3(4)])].
% 25.75/26.05 32 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c2,sk_c7) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 25.75/26.05 33 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 25.75/26.06 34 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_15) # label(negated_conjecture). [assumption].
% 25.75/26.06 35 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 25.75/26.06 36 multiply(sk_c7,sk_c6) != sk_c5 | multiply(sk_c6,sk_c7) != sk_c5 | inverse(sk_c7) != sk_c5 | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | multiply(B,sk_c7) != sk_c6 | inverse(B) != sk_c7 | multiply(sk_c7,C) != sk_c6 | multiply(D,sk_c7) != C | inverse(D) != sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 25.75/26.06 37 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | multiply(B,sk_c7) != sk_c6 | inverse(B) != sk_c7 | multiply(sk_c7,C) != sk_c6 | multiply(D,sk_c7) != C | inverse(D) != sk_c7. [copy(36),rewrite([3(4),3(11),3(17)]),flip(c),xx(a)].
% 25.75/26.06 44 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c2) = identity. [para(9(b,1),4(a,1,1))].
% 25.75/26.06 48 multiply(inverse(A),multiply(A,B)) = B. [para(4(a,1),35(a,1,1)),rewrite([1(2)]),flip(a)].
% 25.75/26.06 53 inverse(sk_c2) = sk_c7 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c7,multiply(sk_c6,A)). [para(12(a,1),35(a,1,1)),rewrite([35(8)]),flip(b)].
% 25.75/26.06 55 inverse(sk_c3) = sk_c7 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c7,multiply(sk_c6,A)). [para(14(a,1),35(a,1,1)),rewrite([35(8)]),flip(b)].
% 25.75/26.06 67 inverse(sk_c1) = sk_c6 | multiply(sk_c2,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(23(b,1),35(a,1,1)),flip(b)].
% 25.75/26.06 68 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c2,sk_c7)) = multiply(A,sk_c6). [para(23(b,1),35(a,2,2)),rewrite([35(8)])].
% 25.75/26.06 69 inverse(sk_c1) = sk_c6 | multiply(sk_c7,multiply(sk_c4,A)) = multiply(sk_c6,A). [para(24(b,1),35(a,1,1)),flip(b)].
% 25.75/26.06 70 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c7,sk_c4)) = multiply(A,sk_c6). [para(24(b,1),35(a,2,2)),rewrite([35(8)])].
% 25.75/26.06 71 inverse(sk_c1) = sk_c6 | multiply(sk_c3,multiply(sk_c7,A)) = multiply(sk_c4,A). [para(25(b,1),35(a,1,1)),flip(b)].
% 25.75/26.06 72 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c3,sk_c7)) = multiply(A,sk_c4). [para(25(b,1),35(a,2,2)),rewrite([35(8)])].
% 25.75/26.06 75 multiply(sk_c7,sk_c4) = sk_c6 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c7,multiply(sk_c6,A)). [para(29(a,1),35(a,1,1)),rewrite([35(9)]),flip(b)].
% 25.75/26.06 79 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c2,multiply(sk_c7,A)) = multiply(sk_c6,A). [para(32(b,1),35(a,1,1)),flip(b)].
% 25.75/26.06 84 multiply(sk_c1,sk_c6) = sk_c7 | multiply(A,multiply(sk_c3,sk_c7)) = multiply(A,sk_c4). [para(34(b,1),35(a,2,2)),rewrite([35(9)])].
% 25.75/26.06 104 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | identity != sk_c6 | inverse(inverse(sk_c7)) != sk_c7 | multiply(sk_c7,B) != sk_c6 | multiply(C,sk_c7) != B | inverse(C) != sk_c7. [para(4(a,1),37(e,1))].
% 25.75/26.06 267 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c7,sk_c2)) = multiply(A,identity). [para(44(b,1),35(a,2,2)),rewrite([35(8)])].
% 25.75/26.06 301 multiply(inverse(inverse(A)),identity) = A. [para(4(a,1),48(a,1,2))].
% 25.75/26.06 308 multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(inverse(sk_c7),sk_c6) = sk_c4. [para(18(b,1),48(a,1,2))].
% 25.75/26.06 309 multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(inverse(sk_c3),sk_c4) = sk_c7. [para(20(b,1),48(a,1,2))].
% 25.75/26.06 310 inverse(sk_c2) = sk_c7 | multiply(inverse(sk_c1),sk_c7) = sk_c6. [para(21(a,1),48(a,1,2))].
% 25.75/26.06 311 inverse(sk_c3) = sk_c7 | multiply(inverse(sk_c1),sk_c7) = sk_c6. [para(22(a,1),48(a,1,2))].
% 25.75/26.06 312 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c2),sk_c6) = sk_c7. [para(23(b,1),48(a,1,2))].
% 25.75/26.06 313 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c7),sk_c6) = sk_c4. [para(24(b,1),48(a,1,2))].
% 25.75/26.06 314 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c3),sk_c4) = sk_c7. [para(25(b,1),48(a,1,2))].
% 25.75/26.06 323 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(48(a,1),48(a,1,2))].
% 25.75/26.06 324 multiply(A,identity) = A. [back_rewrite(301),rewrite([323(4)])].
% 25.75/26.06 326 inverse(sk_c1) = sk_c6 | multiply(A,multiply(sk_c7,sk_c2)) = A. [back_rewrite(267),rewrite([324(10)])].
% 25.75/26.06 329 inverse(identity) = identity. [para(324(a,1),4(a,1))].
% 25.75/26.06 393 multiply(A,inverse(A)) = identity. [para(323(a,1),4(a,1))].
% 25.75/26.06 394 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c7),A) = multiply(sk_c2,A). [para(9(b,1),323(a,1,1,1))].
% 25.75/26.06 409 multiply(A,multiply(inverse(A),B)) = B. [para(323(a,1),48(a,1))].
% 25.75/26.06 410 inverse(inverse(A)) = A. [para(323(a,1),324(a,1)),rewrite([324(2)]),flip(a)].
% 25.75/26.06 439 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | identity != sk_c6 | multiply(sk_c7,B) != sk_c6 | multiply(C,sk_c7) != B | inverse(C) != sk_c7. [back_rewrite(104),rewrite([410(26)]),xx(f)].
% 25.75/26.06 443 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c7) = identity. [para(9(b,1),393(a,1,2))].
% 25.75/26.06 444 inverse(sk_c1) = sk_c6 | multiply(sk_c3,sk_c7) = identity. [para(10(b,1),393(a,1,2))].
% 25.75/26.06 445 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(393(a,1),35(a,1)),flip(a)].
% 25.75/26.06 687 inverse(sk_c2) = sk_c7 | multiply(A,multiply(inverse(sk_c1),sk_c7)) = multiply(A,sk_c6). [para(310(b,1),35(a,2,2)),rewrite([35(9)])].
% 25.75/26.06 719 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c6) = sk_c7. [para(9(b,1),312(b,1,1)),merge(b)].
% 25.75/26.06 826 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c4) = sk_c7. [para(10(b,1),314(b,1,1)),merge(b)].
% 25.75/26.06 976 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(445(a,1),48(a,1,2)),rewrite([324(3)]),flip(a)].
% 25.75/26.06 1013 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(976(a,1),48(a,1,2)),flip(a)].
% 25.75/26.06 1019 inverse(sk_c2) = sk_c7 | multiply(sk_c7,inverse(sk_c6)) = sk_c1. [para(310(b,1),976(a,1,2,1)),rewrite([410(11)])].
% 25.75/26.06 1020 inverse(sk_c3) = sk_c7 | multiply(sk_c7,inverse(sk_c6)) = sk_c1. [para(311(b,1),976(a,1,2,1)),rewrite([410(11)])].
% 25.75/26.06 1023 inverse(sk_c1) = sk_c6 | multiply(sk_c6,inverse(sk_c4)) = sk_c7. [para(313(b,1),976(a,1,2,1)),rewrite([410(11)])].
% 25.75/26.06 1876 inverse(sk_c2) = sk_c7 | multiply(sk_c6,sk_c1) = sk_c7. [para(1019(b,1),53(b,1,2)),rewrite([393(16),324(14)]),merge(b)].
% 25.75/26.06 2033 inverse(sk_c3) = sk_c7 | multiply(sk_c6,sk_c1) = sk_c7. [para(1020(b,1),55(b,1,2)),rewrite([393(16),324(14)]),merge(b)].
% 25.75/26.06 3178 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c6). [para(719(b,1),67(b,1,2)),merge(b)].
% 25.75/26.06 3330 inverse(sk_c1) = sk_c6 | multiply(A,sk_c6) = A. [para(443(b,1),68(b,1,2)),rewrite([324(10)]),flip(c),merge(b)].
% 25.75/26.06 3876 inverse(sk_c1) = sk_c6 | multiply(A,sk_c6) = multiply(A,sk_c7). [para(826(b,1),70(b,1,2)),flip(c),merge(b)].
% 25.75/26.06 4220 inverse(sk_c1) = sk_c6 | multiply(sk_c4,sk_c2) = sk_c3. [para(44(b,1),71(b,1,2)),rewrite([324(11)]),flip(c),merge(b)].
% 25.75/26.06 4390 inverse(sk_c1) = sk_c6 | multiply(A,sk_c4) = A. [para(444(b,1),72(b,1,2)),rewrite([324(10)]),flip(c),merge(b)].
% 25.75/26.06 4467 inverse(sk_c1) = sk_c6 | inverse(sk_c4) = identity. [para(4390(b,1),4(a,1))].
% 25.75/26.06 4489 inverse(sk_c1) = sk_c6 | multiply(sk_c4,A) = A. [para(4467(b,1),48(a,1,1)),rewrite([1(8)])].
% 25.75/26.06 4533 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c4),A) = A. [para(4489(b,1),48(a,1,2))].
% 25.75/26.06 4577 inverse(sk_c1) = sk_c6 | sk_c3 = sk_c2. [para(4489(b,1),4220(b,1)),flip(c),merge(b)].
% 25.75/26.06 4785 sk_c3 = sk_c2 | multiply(sk_c6,sk_c1) = identity. [para(4577(a,1),4(a,1,1))].
% 25.75/26.06 5050 sk_c3 = sk_c2 | multiply(A,multiply(sk_c6,sk_c1)) = A. [para(4785(b,1),35(a,2,2)),rewrite([35(7),324(9)])].
% 25.75/26.06 5462 inverse(sk_c1) = sk_c6 | inverse(sk_c4) = sk_c6. [para(4533(b,1),3330(b,1)),flip(c),merge(b)].
% 25.75/26.06 5473 inverse(sk_c1) = sk_c6 | multiply(sk_c4,multiply(sk_c6,A)) = A. [para(5462(b,1),409(a,1,2,1))].
% 25.75/26.06 5484 inverse(sk_c1) = sk_c6 | multiply(sk_c6,A) = A. [para(5462(b,1),4533(b,1,1)),merge(b)].
% 25.75/26.06 5677 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c6,inverse(sk_c7)) = sk_c2. [para(393(a,1),79(b,1,2)),rewrite([324(8)]),flip(b)].
% 25.75/26.06 5779 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c6),A) = A. [para(5484(b,1),48(a,1,2))].
% 25.75/26.06 5814 inverse(sk_c1) = sk_c6 | inverse(sk_c4) = sk_c7. [para(5484(b,1),1023(b,1)),merge(b)].
% 25.75/26.06 5860 inverse(sk_c1) = sk_c6 | identity = sk_c7. [para(5814(b,1),4467(b,1)),flip(c),merge(b)].
% 25.75/26.06 5862 inverse(sk_c1) = sk_c6 | multiply(sk_c7,A) = A. [para(5814(b,1),4533(b,1,1)),merge(b)].
% 25.75/26.06 5916 identity = sk_c7 | multiply(sk_c6,sk_c1) = identity. [para(5860(a,1),4(a,1,1))].
% 25.75/26.06 5918 identity = sk_c7 | inverse(sk_c6) = sk_c1. [para(5860(a,1),410(a,1,1))].
% 25.75/26.06 5919 identity = sk_c7 | multiply(sk_c1,sk_c6) = identity. [para(5860(a,1),393(a,1,2))].
% 25.75/26.06 6105 identity = sk_c7 | multiply(inverse(sk_c1),inverse(sk_c6)) = identity. [para(5916(b,1),1013(a,1,1)),rewrite([329(5)]),flip(b)].
% 25.75/26.06 6107 identity = sk_c7 | inverse(sk_c2) = sk_c7. [para(5916(b,1),1876(b,1)),merge(c)].
% 25.75/26.06 6108 identity = sk_c7 | inverse(sk_c3) = sk_c7. [para(5916(b,1),2033(b,1)),merge(c)].
% 25.75/26.06 6121 identity = sk_c7 | inverse(sk_c7) = sk_c2. [para(6107(b,1),410(a,1,1))].
% 25.75/26.06 6122 identity = sk_c7 | multiply(sk_c2,sk_c7) = identity. [para(6107(b,1),393(a,1,2))].
% 25.75/26.06 6139 identity = sk_c7 | inverse(sk_c7) = sk_c3. [para(6108(b,1),410(a,1,1))].
% 25.75/26.06 6238 identity = sk_c7 | sk_c3 = sk_c2. [para(6139(b,1),6121(b,1)),merge(b)].
% 25.75/26.06 6239 sk_c3 = sk_c2 | multiply(sk_c7,A) = A. [para(6238(a,1),1(a,1,1))].
% 25.75/26.06 6241 sk_c3 = sk_c2 | inverse(sk_c7) = identity. [para(6238(a,1),329(a,1,1))].
% 25.75/26.06 6311 sk_c3 = sk_c2 | inverse(sk_c7) = sk_c7. [para(6238(a,1),6241(b,2)),merge(b)].
% 25.75/26.06 6316 sk_c3 = sk_c2 | multiply(sk_c7,multiply(sk_c7,A)) = A. [para(6311(b,1),48(a,1,1))].
% 25.75/26.06 6379 identity = sk_c7 | multiply(sk_c7,sk_c4) = sk_c6. [para(5919(b,1),33(a,1)),merge(b)].
% 25.75/26.06 6607 sk_c3 = sk_c2 | multiply(inverse(sk_c7),A) = A. [para(6239(b,1),48(a,1,2))].
% 25.75/26.06 6866 identity = sk_c7 | multiply(inverse(sk_c7),sk_c6) = sk_c4. [para(6379(b,1),48(a,1,2))].
% 25.75/26.06 7008 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | identity != sk_c6 | sk_c6 != B | multiply(inverse(sk_c7),B) != multiply(C,sk_c7) | inverse(C) != sk_c7. [para(409(a,1),439(f,1)),flip(f),flip(g)].
% 25.75/26.06 7256 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c7),A) = A. [para(5862(b,1),48(a,1,2))].
% 25.75/26.06 7599 identity = sk_c7 | multiply(sk_c3,sk_c6) = sk_c4. [para(6139(b,1),6866(b,1,1)),merge(b)].
% 25.75/26.06 7626 identity = sk_c7 | multiply(inverse(sk_c3),sk_c4) = sk_c6. [para(7599(b,1),48(a,1,2))].
% 25.75/26.06 8072 identity = sk_c7 | multiply(inverse(sk_c4),sk_c3) = inverse(sk_c6). [para(7626(b,1),1013(a,1,1)),rewrite([410(10)]),flip(b)].
% 25.75/26.06 8308 sk_c3 = sk_c2 | multiply(sk_c6,sk_c1) = inverse(sk_c7). [para(5050(b,1),6607(b,1)),flip(c),merge(b)].
% 25.75/26.06 8312 sk_c3 = sk_c2 | multiply(inverse(sk_c6),inverse(sk_c7)) = sk_c1. [para(8308(b,1),48(a,1,2))].
% 25.75/26.06 8325 sk_c3 = sk_c2 | multiply(inverse(sk_c1),inverse(sk_c6)) = sk_c7. [para(8308(b,1),1013(a,1,1)),rewrite([410(6)]),flip(b)].
% 25.75/26.06 8737 inverse(sk_c2) = sk_c7 | sk_c3 = sk_c2 | identity = sk_c6. [para(6(a,1),6316(b,1,2)),rewrite([393(11)])].
% 25.75/26.06 8738 inverse(sk_c3) = sk_c7 | sk_c3 = sk_c2 | identity = sk_c6. [para(8(a,1),6316(b,1,2)),rewrite([393(11)])].
% 25.75/26.06 9284 inverse(sk_c1) = sk_c6 | inverse(sk_c7) = sk_c6. [para(7256(b,1),3330(b,1)),flip(c),merge(b)].
% 25.75/26.06 9289 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c1) = identity. [para(9284(a,1),4(a,1,1))].
% 25.75/26.06 9327 inverse(sk_c7) = sk_c6 | multiply(sk_c7,sk_c4) = sk_c6 | multiply(sk_c6,multiply(sk_c7,sk_c1)) = sk_c7. [para(9289(b,1),75(b,2,2)),rewrite([324(17)])].
% 25.75/26.06 10157 identity = sk_c7 | multiply(sk_c4,inverse(sk_c6)) = sk_c3. [para(8072(b,1),48(a,1,2)),rewrite([410(6)])].
% 25.75/26.06 10163 identity = sk_c7 | multiply(inverse(sk_c4),sk_c3) = sk_c1. [para(5918(b,1),8072(b,2)),merge(b)].
% 25.75/26.06 10191 identity = sk_c7 | multiply(inverse(sk_c3),sk_c4) = inverse(sk_c1). [para(10163(b,1),1013(a,1,1)),rewrite([410(10)]),flip(b)].
% 25.75/26.06 10221 sk_c3 = sk_c2 | multiply(sk_c1,sk_c7) = inverse(sk_c6). [para(8325(b,1),48(a,1,2)),rewrite([410(6)])].
% 25.75/26.06 10355 sk_c3 = sk_c2 | identity = sk_c6 | inverse(sk_c7) = sk_c2. [para(8737(a,1),410(a,1,1))].
% 25.75/26.06 10362 sk_c3 = sk_c2 | identity = sk_c6 | inverse(sk_c7) = sk_c3. [para(8738(a,1),410(a,1,1))].
% 25.75/26.06 10939 sk_c3 = sk_c2 | identity = sk_c6. [para(10362(c,1),10355(c,1)),merge(c),merge(d),merge(e)].
% 25.75/26.06 10942 sk_c3 = sk_c2 | inverse(sk_c6) = identity. [para(10939(b,1),329(a,1,1))].
% 25.75/26.06 10961 sk_c3 = sk_c2 | sk_c6 = sk_c7. [para(10939(b,1),6238(a,1)),merge(c)].
% 25.75/26.06 10962 sk_c3 = sk_c2 | inverse(sk_c7) = sk_c6. [para(10939(b,1),6241(b,2)),merge(b)].
% 25.75/26.06 10989 sk_c3 = sk_c2 | inverse(sk_c7) = sk_c1. [para(10942(b,1),8312(b,1,1)),rewrite([1(10)]),merge(b)].
% 25.75/26.06 10991 sk_c3 = sk_c2 | multiply(sk_c1,sk_c7) = identity. [para(10942(b,1),10221(b,2)),merge(b)].
% 25.75/26.06 11063 sk_c3 = sk_c2 | multiply(sk_c7,multiply(sk_c6,A)) = A. [para(10962(b,1),409(a,1,2,1))].
% 25.75/26.06 11101 sk_c3 = sk_c2 | multiply(sk_c1,multiply(sk_c7,A)) = A. [para(10989(b,1),48(a,1,1))].
% 25.75/26.06 11255 sk_c3 = sk_c2 | multiply(A,multiply(sk_c1,sk_c7)) = A. [para(10991(b,1),35(a,2,2)),rewrite([35(7),324(9)])].
% 25.75/26.06 12066 sk_c3 = sk_c2 | multiply(sk_c1,A) = multiply(sk_c6,A). [para(11063(b,1),11101(b,1,2)),merge(b)].
% 25.75/26.06 12221 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,sk_c6) != sk_c7 | inverse(A) != sk_c6 | identity != sk_c6 | multiply(B,sk_c7) != sk_c6 | multiply(inverse(B),sk_c7) != sk_c7. [resolve(7008,g,35,a(flip)),rewrite([1013(31),410(31)]),flip(f)].
% 25.75/26.06 12224 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(A,multiply(B,sk_c6)) != sk_c7 | multiply(inverse(B),inverse(A)) != sk_c6 | identity != sk_c6 | multiply(C,sk_c7) != sk_c6 | multiply(inverse(C),sk_c7) != sk_c7. [para(35(a,1),12221(c,1)),rewrite([1013(20)])].
% 25.75/26.06 12574 sk_c3 = sk_c2 | multiply(sk_c6,multiply(sk_c1,sk_c7)) = sk_c1. [para(12066(b,1),11255(b,1)),merge(b)].
% 25.75/26.06 12650 multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(inverse(sk_c6),sk_c7) = inverse(sk_c4). [para(308(b,1),1013(a,1,1)),rewrite([410(13)]),flip(b)].
% 25.75/26.06 12685 sk_c6 = sk_c7 | multiply(sk_c7,sk_c6) = inverse(sk_c7) | multiply(inverse(sk_c2),sk_c4) = sk_c7. [para(10961(a,1),309(b,1,1,1))].
% 25.75/26.06 12912 inverse(sk_c1) = sk_c6 | multiply(A,sk_c2) = A. [para(5862(b,1),326(b,1,2)),merge(b)].
% 25.75/26.06 12913 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c2) = inverse(sk_c6). [para(326(b,1),5779(b,1)),flip(c),merge(b)].
% 25.75/26.06 12915 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c2) = inverse(sk_c7). [para(326(b,1),7256(b,1)),flip(c),merge(b)].
% 25.75/26.06 12937 inverse(sk_c1) = sk_c6 | multiply(A,sk_c7) = A. [para(12912(b,1),326(b,1,2)),merge(b)].
% 25.75/26.06 13139 inverse(sk_c1) = sk_c6 | multiply(sk_c2,sk_c7) = inverse(sk_c7). [para(394(b,1),12937(b,1)),merge(b)].
% 25.75/26.06 13858 sk_c3 = sk_c2 | multiply(inverse(sk_c7),multiply(inverse(sk_c1),inverse(sk_c6))) = inverse(sk_c1). [para(12574(b,1),1013(a,1,1)),rewrite([1013(9),35(13)]),flip(b)].
% 25.75/26.06 13933 inverse(sk_c1) = sk_c6 | inverse(sk_c6) = inverse(sk_c7). [para(12915(b,1),12913(b,1)),flip(c),merge(b)].
% 25.75/26.06 13942 inverse(sk_c6) = inverse(sk_c7) | inverse(sk_c6) = sk_c1. [para(13933(a,1),410(a,1,1))].
% 25.75/26.06 13968 inverse(sk_c6) = sk_c1 | multiply(sk_c6,inverse(sk_c7)) = identity. [para(13942(a,1),393(a,1,2))].
% 25.75/26.06 15421 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | sk_c7 != A | multiply(sk_c6,inverse(A)) != sk_c6 | identity != sk_c6 | multiply(B,sk_c7) != sk_c6 | multiply(inverse(B),sk_c7) != sk_c7. [para(4(a,1),12224(c,1,2)),rewrite([324(15),410(18)]),flip(c)].
% 25.75/26.06 15427 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | sk_c7 != A | multiply(sk_c6,inverse(A)) != sk_c6 | identity != sk_c6 | multiply(B,multiply(C,sk_c7)) != sk_c6 | multiply(inverse(C),multiply(inverse(B),sk_c7)) != sk_c7. [para(1013(a,1),15421(g,1,1)),rewrite([35(26),35(33)])].
% 25.75/26.06 16310 inverse(sk_c1) = sk_c6 | multiply(sk_c6,sk_c6) = inverse(sk_c7). [para(3178(b,1),13139(b,1)),merge(b)].
% 25.75/26.06 16439 inverse(sk_c1) = sk_c6 | multiply(sk_c6,sk_c7) = inverse(sk_c7). [para(3876(b,1),16310(b,1)),merge(b)].
% 25.75/26.06 16587 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | sk_c7 != A | multiply(sk_c6,inverse(A)) != sk_c6 | identity != sk_c6 | sk_c6 != B | multiply(sk_c7,multiply(inverse(B),sk_c7)) != sk_c7. [para(4(a,1),15427(f,1,2)),rewrite([324(25),410(28)]),flip(f)].
% 25.75/26.06 16592 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | inverse(A) != sk_c7 | multiply(sk_c6,A) != sk_c6 | identity != sk_c6 | sk_c6 != B | multiply(sk_c7,multiply(inverse(B),sk_c7)) != sk_c7. [para(410(a,1),16587(d,1,2)),flip(c)].
% 25.75/26.06 16609 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(inverse(A),sk_c6) != sk_c7 | sk_c6 != A | identity != sk_c6 | sk_c6 != B | multiply(sk_c7,multiply(inverse(B),sk_c7)) != sk_c7. [para(409(a,1),16592(d,1)),rewrite([1013(17),410(17)]),flip(d)].
% 25.75/26.06 16611 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(inverse(A),sk_c6) != sk_c7 | sk_c6 != A | identity != sk_c6 | multiply(sk_c7,multiply(inverse(A),sk_c7)) != sk_c7. [factor(16609,d,f)].
% 25.75/26.06 17200 inverse(sk_c2) = sk_c7 | multiply(sk_c7,multiply(inverse(sk_c1),sk_c7)) = inverse(sk_c7). [para(6(a,1),687(b,2)),merge(b)].
% 25.75/26.06 17637 inverse(sk_c1) = sk_c6 | multiply(sk_c4,inverse(sk_c7)) = sk_c7. [para(16439(b,1),5473(b,1,2)),merge(b)].
% 25.75/26.06 17670 inverse(sk_c1) = sk_c6 | multiply(sk_c6,inverse(sk_c7)) = multiply(sk_c7,sk_c7). [para(17637(b,1),69(b,1,2)),flip(c),merge(b)].
% 25.75/26.06 18034 multiply(sk_c6,inverse(sk_c7)) = sk_c2 | identity = sk_c7. [para(5677(a,1),5919(b,1)),flip(c),merge(c)].
% 25.75/26.06 18038 identity = sk_c7 | multiply(inverse(sk_c6),sk_c2) = inverse(sk_c7). [para(18034(a,1),48(a,1,2))].
% 25.75/26.06 18143 identity = sk_c7 | multiply(inverse(sk_c2),sk_c6) = sk_c7. [para(18038(b,1),1013(a,1,1)),rewrite([410(6),410(9)]),flip(b)].
% 25.75/26.06 18146 identity = sk_c7 | multiply(sk_c2,sk_c7) = sk_c6. [para(18143(b,1),48(a,1,2)),rewrite([410(6)])].
% 25.75/26.06 18151 identity = sk_c7 | identity = sk_c6. [para(18146(b,1),6122(b,1)),flip(c),merge(b)].
% 25.75/26.06 18161 identity = sk_c7 | inverse(sk_c6) = identity. [para(18151(b,1),329(a,1,1))].
% 25.75/26.06 18206 identity = sk_c7 | inverse(sk_c1) = identity. [para(18161(b,1),6105(b,1,2)),rewrite([324(10)]),merge(b)].
% 25.75/26.06 18211 identity = sk_c7 | sk_c4 = sk_c3. [para(18161(b,1),10157(b,1,2)),rewrite([324(9)]),merge(b)].
% 25.75/26.06 18291 sk_c4 = sk_c3 | multiply(A,sk_c7) = A. [para(18211(a,1),324(a,1,2))].
% 25.75/26.06 18467 identity = sk_c7 | multiply(inverse(sk_c3),sk_c4) = identity. [para(18206(b,1),10191(b,2)),merge(b)].
% 25.75/26.06 18851 sk_c4 = sk_c3 | multiply(sk_c7,sk_c6) = inverse(sk_c7). [para(18291(b,1),20(b,1)),flip(c),merge(c)].
% 25.75/26.06 19235 identity = sk_c7 | multiply(sk_c1,sk_c6) = sk_c7. [para(18467(b,1),84(b,2)),rewrite([48(14)]),flip(c),merge(c)].
% 25.75/26.06 19243 identity = sk_c7. [para(19235(b,1),5919(b,1)),flip(c),merge(b),merge(c)].
% 25.75/26.06 19505 multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6) | multiply(sk_c7,sk_c6) != inverse(sk_c7) | multiply(inverse(A),sk_c6) != sk_c7 | sk_c6 != A | sk_c6 != sk_c7 | multiply(sk_c7,multiply(inverse(A),sk_c7)) != sk_c7. [back_rewrite(16611),rewrite([19243(21)]),flip(e)].
% 25.75/26.06 19863 inverse(sk_c6) = sk_c1 | multiply(sk_c6,inverse(sk_c7)) = sk_c7. [back_rewrite(13968),rewrite([19243(9)])].
% 25.75/26.06 20420 inverse(sk_c7) = sk_c6 | multiply(sk_c6,sk_c1) = sk_c7. [back_rewrite(9289),rewrite([19243(8)])].
% 25.75/26.06 20827 inverse(sk_c7) = sk_c7. [back_rewrite(329),rewrite([19243(1),19243(3)])].
% 25.75/26.06 20828 multiply(A,sk_c7) = A. [back_rewrite(324),rewrite([19243(1)])].
% 25.75/26.06 20830 multiply(sk_c7,A) = A. [back_rewrite(1),rewrite([19243(1)])].
% 25.75/26.06 20845 sk_c6 != sk_c7. [factor(19505,d,e),rewrite([20828(3),20830(4),20830(6),20827(6),20827(8),20830(9),20827(15),20828(16),20828(15)]),xx(a),xx(e),merge(b),merge(c)].
% 25.75/26.06 20854 multiply(sk_c6,sk_c1) = sk_c7. [back_rewrite(20420),rewrite([20827(2)]),flip(a),unit_del(a,20845)].
% 25.75/26.06 20858 inverse(sk_c6) = sk_c1. [back_rewrite(19863),rewrite([20827(7),20828(7)]),unit_del(b,20845)].
% 25.75/26.06 20862 sk_c4 = sk_c3. [back_rewrite(18851),rewrite([20830(6),20827(6)]),unit_del(b,20845)].
% 25.75/26.06 20865 inverse(sk_c1) = sk_c6. [back_rewrite(17670),rewrite([20827(7),20828(7),20828(8)]),unit_del(b,20845)].
% 25.75/26.06 20867 inverse(sk_c2) = sk_c7. [back_rewrite(17200),rewrite([20865(7),20828(8),20830(7),20827(7)]),unit_del(b,20845)].
% 25.75/26.06 20870 sk_c3 = sk_c2. [back_rewrite(13858),rewrite([20827(5),20865(6),20858(7),20854(7),20828(6),20865(6)]),flip(b),unit_del(b,20845)].
% 25.75/26.06 20873 sk_c2 = sk_c7. [back_rewrite(12685),rewrite([20830(6),20827(6),20867(8),20862(8),20870(8),20830(9)]),merge(b),unit_del(a,20845)].
% 25.75/26.06 20874 sk_c1 = sk_c7. [back_rewrite(12650),rewrite([20830(3),20827(3),20858(5),20828(6),20862(5),20870(5),20873(5),20827(6)]),unit_del(a,20845)].
% 25.75/26.06 20876 $F. [back_rewrite(9327),rewrite([20827(2),20862(5),20870(5),20873(5),20828(6),20874(9),20828(10),20828(9)]),flip(a),flip(b),merge(b),merge(c),unit_del(a,20845)].
% 25.75/26.06
% 25.75/26.06 % SZS output end Refutation
% 25.75/26.06 ============================== end of proof ==========================
% 25.75/26.06
% 25.75/26.06 ============================== STATISTICS ============================
% 25.75/26.06
% 25.75/26.06 Given=3253. Generated=1226391. Kept=20863. proofs=1.
% 25.75/26.06 Usable=998. Sos=3315. Demods=31. Limbo=49, Disabled=16526. Hints=0.
% 25.75/26.06 Megabytes=20.31.
% 25.75/26.06 User_CPU=24.41, System_CPU=0.68, Wall_clock=25.
% 25.75/26.06
% 25.75/26.06 ============================== end of statistics =====================
% 25.75/26.06
% 25.75/26.06 ============================== end of search =========================
% 25.75/26.06
% 25.75/26.06 THEOREM PROVED
% 25.75/26.06 % SZS status Unsatisfiable
% 25.75/26.06
% 25.75/26.06 Exiting with 1 proof.
% 25.75/26.06
% 25.75/26.06 Process 23471 exit (max_proofs) Mon Jun 13 13:59:53 2022
% 25.75/26.06 Prover9 interrupted
%------------------------------------------------------------------------------