TSTP Solution File: GRP273-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP273-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 11:18:26 EDT 2022
% Result : Unsatisfiable 7.78s 8.05s
% Output : Refutation 7.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP273-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.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 : Mon Jun 13 07:41:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.78/8.05 ============================== Prover9 ===============================
% 7.78/8.05 Prover9 (32) version 2009-11A, November 2009.
% 7.78/8.05 Process 28973 was started by sandbox2 on n022.cluster.edu,
% 7.78/8.05 Mon Jun 13 07:41:19 2022
% 7.78/8.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28819_n022.cluster.edu".
% 7.78/8.05 ============================== end of head ===========================
% 7.78/8.05
% 7.78/8.05 ============================== INPUT =================================
% 7.78/8.05
% 7.78/8.05 % Reading from file /tmp/Prover9_28819_n022.cluster.edu
% 7.78/8.05
% 7.78/8.05 set(prolog_style_variables).
% 7.78/8.05 set(auto2).
% 7.78/8.05 % set(auto2) -> set(auto).
% 7.78/8.05 % set(auto) -> set(auto_inference).
% 7.78/8.05 % set(auto) -> set(auto_setup).
% 7.78/8.05 % set(auto_setup) -> set(predicate_elim).
% 7.78/8.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 7.78/8.05 % set(auto) -> set(auto_limits).
% 7.78/8.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 7.78/8.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 7.78/8.05 % set(auto) -> set(auto_denials).
% 7.78/8.05 % set(auto) -> set(auto_process).
% 7.78/8.05 % set(auto2) -> assign(new_constants, 1).
% 7.78/8.05 % set(auto2) -> assign(fold_denial_max, 3).
% 7.78/8.05 % set(auto2) -> assign(max_weight, "200.000").
% 7.78/8.05 % set(auto2) -> assign(max_hours, 1).
% 7.78/8.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.78/8.05 % set(auto2) -> assign(max_seconds, 0).
% 7.78/8.05 % set(auto2) -> assign(max_minutes, 5).
% 7.78/8.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.78/8.05 % set(auto2) -> set(sort_initial_sos).
% 7.78/8.05 % set(auto2) -> assign(sos_limit, -1).
% 7.78/8.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 7.78/8.05 % set(auto2) -> assign(max_megs, 400).
% 7.78/8.05 % set(auto2) -> assign(stats, some).
% 7.78/8.05 % set(auto2) -> clear(echo_input).
% 7.78/8.05 % set(auto2) -> set(quiet).
% 7.78/8.05 % set(auto2) -> clear(print_initial_clauses).
% 7.78/8.05 % set(auto2) -> clear(print_given).
% 7.78/8.05 assign(lrs_ticks,-1).
% 7.78/8.05 assign(sos_limit,10000).
% 7.78/8.05 assign(order,kbo).
% 7.78/8.05 set(lex_order_vars).
% 7.78/8.05 clear(print_given).
% 7.78/8.05
% 7.78/8.05 % formulas(sos). % not echoed (54 formulas)
% 7.78/8.05
% 7.78/8.05 ============================== end of input ==========================
% 7.78/8.05
% 7.78/8.05 % From the command line: assign(max_seconds, 300).
% 7.78/8.05
% 7.78/8.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.78/8.05
% 7.78/8.05 % Formulas that are not ordinary clauses:
% 7.78/8.05
% 7.78/8.05 ============================== end of process non-clausal formulas ===
% 7.78/8.05
% 7.78/8.05 ============================== PROCESS INITIAL CLAUSES ===============
% 7.78/8.05
% 7.78/8.05 ============================== PREDICATE ELIMINATION =================
% 7.78/8.05
% 7.78/8.05 ============================== end predicate elimination =============
% 7.78/8.05
% 7.78/8.05 Auto_denials: (non-Horn, no changes).
% 7.78/8.05
% 7.78/8.05 Term ordering decisions:
% 7.78/8.05
% 7.78/8.05 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 7.78/8.05 Function symbol KB weights: sk_c11=1. sk_c10=1. sk_c9=1. sk_c8=1. sk_c1=1. sk_c2=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 7.78/8.05
% 7.78/8.05 ============================== end of process initial clauses ========
% 7.78/8.05
% 7.78/8.05 ============================== CLAUSES FOR SEARCH ====================
% 7.78/8.05
% 7.78/8.05 ============================== end of clauses for search =============
% 7.78/8.05
% 7.78/8.05 ============================== SEARCH ================================
% 7.78/8.05
% 7.78/8.05 % Starting search at 0.07 seconds.
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=54.000, iters=4078
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=53.000, iters=3657
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=52.000, iters=3349
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=51.000, iters=3339
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=50.000, iters=3341
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=49.000, iters=3604
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=45.000, iters=3469
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=44.000, iters=3436
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=43.000, iters=3379
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=42.000, iters=3432
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=40.000, iters=3341
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=39.000, iters=3344
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=38.000, iters=3409
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=33.000, iters=3335
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=32.000, iters=3342
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=31.000, iters=3361
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=30.000, iters=3355
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=29.000, iters=3368
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=28.000, iters=3349
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=27.000, iters=3399
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=26.000, iters=3342
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=25.000, iters=3391
% 7.78/8.05
% 7.78/8.05 Low Water (keep): wt=24.000, iters=3335
% 7.78/8.05
% 7.78/8.05 ============================== PROOF =================================
% 7.78/8.05 % SZS status Unsatisfiable
% 7.78/8.05 % SZS output start Refutation
% 7.78/8.05
% 7.78/8.05 % Proof 1 at 7.00 (+ 0.08) seconds.
% 7.78/8.05 % Length of proof is 76.
% 7.78/8.05 % Level of proof is 21.
% 7.78/8.05 % Maximum clause weight is 68.000.
% 7.78/8.05 % Given clauses 1033.
% 7.78/8.05
% 7.78/8.05 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 7.78/8.05 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 7.78/8.05 3 inverse(sk_c1) = sk_c11 | inverse(sk_c3) = sk_c11 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 7.78/8.05 10 inverse(sk_c2) = sk_c9 | inverse(sk_c5) = sk_c8 # label(prove_this_46) # label(negated_conjecture). [assumption].
% 7.78/8.05 13 multiply(sk_c1,sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 7.78/8.05 18 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 7.78/8.05 24 multiply(sk_c11,sk_c9) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 7.78/8.05 29 multiply(sk_c2,sk_c9) = sk_c11 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 7.78/8.05 30 multiply(sk_c2,sk_c9) = sk_c11 | inverse(sk_c5) = sk_c8 # label(prove_this_36) # label(negated_conjecture). [assumption].
% 7.78/8.05 34 inverse(sk_c2) = sk_c9 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_43) # label(negated_conjecture). [assumption].
% 7.78/8.05 35 inverse(sk_c2) = sk_c9 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 7.78/8.05 38 multiply(sk_c1,sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 7.78/8.05 44 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 7.78/8.05 45 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 7.78/8.05 49 multiply(sk_c2,sk_c9) = sk_c11 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_33) # label(negated_conjecture). [assumption].
% 7.78/8.05 53 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 7.78/8.05 54 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c11 | inverse(B) != sk_c9 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(D,sk_c10) != sk_c9 | inverse(D) != sk_c10 | multiply(E,F) != sk_c11 | inverse(E) != F | multiply(F,sk_c10) != sk_c11 | inverse(V6) != V7 | inverse(V7) != F | multiply(V6,F) != V7 # label(prove_this_51) # label(negated_conjecture). [assumption].
% 7.78/8.05 55 multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(B,sk_c9) != sk_c11 | inverse(B) != sk_c9 | 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)].
% 7.78/8.05 185 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),53(a,1,1)),rewrite([1(2)]),flip(a)].
% 7.78/8.05 352 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | 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. [para(2(a,1),55(a,1))].
% 7.78/8.05 1101 identity != sk_c10 | inverse(inverse(sk_c11)) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | 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(sk_c11) != D | multiply(inverse(sk_c11),D) != sk_c11. [factor(352,b,k)].
% 7.78/8.05 5905 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),185(a,1,2))].
% 7.78/8.05 5926 inverse(sk_c4) = sk_c10 | multiply(inverse(sk_c11),sk_c10) = sk_c9. [para(24(a,1),185(a,1,2))].
% 7.78/8.05 5974 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(185(a,1),185(a,1,2))].
% 7.78/8.05 6009 multiply(A,identity) = A. [back_rewrite(5905),rewrite([5974(4)])].
% 7.78/8.05 6067 inverse(identity) = identity. [para(6009(a,1),2(a,1))].
% 7.78/8.05 6813 multiply(A,inverse(A)) = identity. [para(5974(a,1),2(a,1))].
% 7.78/8.05 7158 multiply(A,multiply(inverse(A),B)) = B. [para(5974(a,1),185(a,1))].
% 7.78/8.05 7159 inverse(inverse(A)) = A. [para(5974(a,1),6009(a,1)),rewrite([6009(2)]),flip(a)].
% 7.78/8.05 7643 identity != sk_c10 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | 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(sk_c11) != D | multiply(inverse(sk_c11),D) != sk_c11. [back_rewrite(1101),rewrite([7159(6)]),xx(b)].
% 7.78/8.05 7792 inverse(sk_c1) = sk_c11 | multiply(sk_c3,sk_c11) = identity. [para(3(b,1),6813(a,1,2))].
% 7.78/8.05 7798 inverse(sk_c2) = sk_c9 | multiply(sk_c5,sk_c8) = identity. [para(10(b,1),6813(a,1,2))].
% 7.78/8.05 8684 inverse(sk_c1) = sk_c11 | identity = sk_c10. [para(7792(b,1),18(b,1)),merge(b)].
% 7.78/8.05 8694 identity = sk_c10 | multiply(sk_c1,sk_c11) = identity. [para(8684(a,1),6813(a,1,2))].
% 7.78/8.05 8766 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(8694(b,1),13(a,1)),merge(b)].
% 7.78/8.05 8778 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(8766(b,1),6813(a,1,2))].
% 7.78/8.05 9859 identity = sk_c10 | multiply(sk_c1,sk_c11) = sk_c10. [para(8778(b,1),38(b,1)),merge(c)].
% 7.78/8.05 11362 identity = sk_c10. [para(9859(b,1),8694(b,1)),flip(c),merge(b),merge(c)].
% 7.78/8.05 13821 inverse(sk_c2) = sk_c9 | multiply(sk_c5,sk_c8) = sk_c10. [back_rewrite(7798),rewrite([11362(8)])].
% 7.78/8.05 13849 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | 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(sk_c11) != D | multiply(inverse(sk_c11),D) != sk_c11. [back_rewrite(7643),rewrite([11362(1)]),xx(a)].
% 7.78/8.05 14144 multiply(A,inverse(A)) = sk_c10. [back_rewrite(6813),rewrite([11362(3)])].
% 7.78/8.05 14291 inverse(sk_c10) = sk_c10. [back_rewrite(6067),rewrite([11362(1),11362(3)])].
% 7.78/8.05 14297 multiply(A,sk_c10) = A. [back_rewrite(6009),rewrite([11362(1)])].
% 7.78/8.05 14318 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([11362(1)])].
% 7.78/8.05 14603 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | sk_c9 != B | inverse(B) != sk_c10 | multiply(inverse(sk_c11),C) != sk_c11 | sk_c11 != C | inverse(sk_c11) != C. [factor(13849,f,j),rewrite([14297(14),7159(25),14297(26)]),flip(d),flip(h),merge(h)].
% 7.78/8.05 16037 inverse(sk_c4) = sk_c10 | inverse(sk_c11) = sk_c9. [back_rewrite(5926),rewrite([14297(8)])].
% 7.78/8.05 17133 multiply(sk_c2,sk_c9) = sk_c11 | sk_c4 = sk_c9. [back_rewrite(49),rewrite([14297(8)])].
% 7.78/8.05 17135 multiply(sk_c11,sk_c9) = sk_c10 | sk_c4 = sk_c9. [back_rewrite(44),rewrite([14297(8)])].
% 7.78/8.05 17139 inverse(sk_c2) = sk_c9 | sk_c4 = sk_c9. [back_rewrite(34),rewrite([14297(7)])].
% 7.78/8.05 18105 sk_c4 = sk_c9 | multiply(sk_c2,sk_c9) = sk_c10. [para(17139(a,1),14144(a,1,2))].
% 7.78/8.05 18560 inverse(sk_c11) = sk_c9 | sk_c4 = sk_c10. [para(16037(a,1),7159(a,1,1)),rewrite([14291(6)]),flip(b)].
% 7.78/8.05 18567 sk_c4 = sk_c10 | multiply(sk_c11,sk_c9) = sk_c10. [para(18560(a,1),14144(a,1,2))].
% 7.78/8.05 20313 sk_c4 = sk_c9 | sk_c10 = sk_c11. [para(18105(b,1),17133(a,1)),merge(c)].
% 7.78/8.05 22498 inverse(sk_c2) = sk_c9 | sk_c10 = sk_c11. [para(13821(b,1),35(b,1)),merge(b)].
% 7.78/8.05 22512 sk_c10 = sk_c11 | multiply(sk_c2,sk_c9) = sk_c10. [para(22498(a,1),14144(a,1,2))].
% 7.78/8.05 22587 sk_c10 = sk_c11 | inverse(sk_c4) = sk_c10. [para(22512(b,1),29(a,1)),merge(b)].
% 7.78/8.05 22588 sk_c10 = sk_c11 | inverse(sk_c5) = sk_c8. [para(22512(b,1),30(a,1)),merge(b)].
% 7.78/8.05 22617 sk_c10 = sk_c11 | sk_c4 = sk_c10. [para(22587(b,1),7159(a,1,1)),rewrite([14291(5)]),flip(b)].
% 7.78/8.05 22625 sk_c10 = sk_c11 | sk_c9 = sk_c10. [para(22617(b,1),20313(a,1)),flip(b),merge(c)].
% 7.78/8.05 22849 sk_c10 = sk_c11 | multiply(sk_c5,sk_c8) = sk_c10. [para(22588(b,1),14144(a,1,2))].
% 7.78/8.05 23630 sk_c10 = sk_c11 | multiply(sk_c11,sk_c9) = sk_c10. [para(22849(b,1),45(b,1)),merge(c)].
% 7.78/8.05 24204 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | inverse(B) != sk_c9 | sk_c10 != B | multiply(inverse(sk_c11),C) != sk_c11 | sk_c11 != C | inverse(sk_c11) != C. [para(7159(a,1),14603(e,1)),flip(d),flip(e)].
% 7.78/8.05 24206 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | sk_c10 != A | multiply(inverse(sk_c11),B) != sk_c11 | sk_c11 != B | inverse(sk_c11) != B. [factor(24204,c,d)].
% 7.78/8.05 24211 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | sk_c10 != A | sk_c11 != B | multiply(sk_c11,B) != sk_c11 | multiply(sk_c11,B) != inverse(sk_c11). [para(185(a,1),24206(e,1)),flip(e),flip(f),flip(g)].
% 7.78/8.05 24244 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c9) != sk_c11 | inverse(A) != sk_c9 | sk_c10 != A | multiply(inverse(sk_c11),inverse(sk_c11)) != sk_c11 | inverse(sk_c11) != sk_c11. [resolve(24211,g,7158,a),rewrite([7158(28)]),flip(e)].
% 7.78/8.05 24249 multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,multiply(B,sk_c9)) != sk_c11 | inverse(multiply(A,B)) != sk_c9 | multiply(A,B) != sk_c10 | multiply(inverse(sk_c11),inverse(sk_c11)) != sk_c11 | inverse(sk_c11) != sk_c11. [para(53(a,1),24244(b,1)),flip(d)].
% 7.78/8.05 24310 sk_c10 = sk_c11. [para(22625(b,1),23630(b,1,2)),rewrite([14297(9)]),flip(c),merge(b),merge(c)].
% 7.78/8.05 24330 multiply(sk_c11,sk_c9) != sk_c11 | multiply(A,multiply(B,sk_c9)) != sk_c11 | inverse(multiply(A,B)) != sk_c9 | multiply(A,B) != sk_c11 | multiply(inverse(sk_c11),inverse(sk_c11)) != sk_c11 | inverse(sk_c11) != sk_c11. [back_rewrite(24249),rewrite([24310(4),24310(16)])].
% 7.78/8.05 26629 sk_c4 = sk_c11 | multiply(sk_c11,sk_c9) = sk_c11. [back_rewrite(18567),rewrite([24310(2),24310(7)])].
% 7.78/8.05 26883 multiply(sk_c11,sk_c9) = sk_c11 | sk_c4 = sk_c9. [back_rewrite(17135),rewrite([24310(4)])].
% 7.78/8.05 27547 multiply(sk_c11,A) = A. [back_rewrite(14318),rewrite([24310(1)])].
% 7.78/8.05 27557 multiply(A,sk_c11) = A. [back_rewrite(14297),rewrite([24310(1)])].
% 7.78/8.05 27558 inverse(sk_c11) = sk_c11. [back_rewrite(14291),rewrite([24310(1),24310(3)])].
% 7.78/8.05 27643 sk_c9 != sk_c11. [factor(24330,d,e),rewrite([27547(3),27558(5),27558(6),27547(7),27547(6),27558(8),27558(9),27557(9),27558(8),27558(11),27558(12),27557(12),27558(14)]),flip(c),xx(d),xx(e),merge(b),merge(c)].
% 7.78/8.05 27663 sk_c4 = sk_c9. [back_rewrite(26883),rewrite([27547(3)]),unit_del(a,27643)].
% 7.78/8.05 27678 $F. [back_rewrite(26629),rewrite([27663(1),27547(6)]),merge(b),unit_del(a,27643)].
% 7.78/8.05
% 7.78/8.05 % SZS output end Refutation
% 7.78/8.05 ============================== end of proof ==========================
% 7.78/8.05
% 7.78/8.05 ============================== STATISTICS ============================
% 7.78/8.05
% 7.78/8.05 Given=1033. Generated=117783. Kept=27677. proofs=1.
% 7.78/8.05 Usable=152. Sos=1592. Demods=22. Limbo=131, Disabled=25856. Hints=0.
% 7.78/8.05 Megabytes=30.79.
% 7.78/8.05 User_CPU=7.00, System_CPU=0.08, Wall_clock=7.
% 7.78/8.05
% 7.78/8.05 ============================== end of statistics =====================
% 7.78/8.05
% 7.78/8.05 ============================== end of search =========================
% 7.78/8.05
% 7.78/8.05 THEOREM PROVED
% 7.78/8.05 % SZS status Unsatisfiable
% 7.78/8.05
% 7.78/8.05 Exiting with 1 proof.
% 7.78/8.05
% 7.78/8.05 Process 28973 exit (max_proofs) Mon Jun 13 07:41:26 2022
% 7.78/8.05 Prover9 interrupted
%------------------------------------------------------------------------------