TSTP Solution File: GRP384-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP384-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 11:18:51 EDT 2022
% Result : Unsatisfiable 8.82s 9.16s
% Output : Refutation 8.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP384-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 13 08:20:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 8.82/9.16 ============================== Prover9 ===============================
% 8.82/9.16 Prover9 (32) version 2009-11A, November 2009.
% 8.82/9.16 Process 3725 was started by sandbox on n014.cluster.edu,
% 8.82/9.16 Mon Jun 13 08:20:08 2022
% 8.82/9.16 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3570_n014.cluster.edu".
% 8.82/9.16 ============================== end of head ===========================
% 8.82/9.16
% 8.82/9.16 ============================== INPUT =================================
% 8.82/9.16
% 8.82/9.16 % Reading from file /tmp/Prover9_3570_n014.cluster.edu
% 8.82/9.16
% 8.82/9.16 set(prolog_style_variables).
% 8.82/9.16 set(auto2).
% 8.82/9.16 % set(auto2) -> set(auto).
% 8.82/9.16 % set(auto) -> set(auto_inference).
% 8.82/9.16 % set(auto) -> set(auto_setup).
% 8.82/9.16 % set(auto_setup) -> set(predicate_elim).
% 8.82/9.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.82/9.16 % set(auto) -> set(auto_limits).
% 8.82/9.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.82/9.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.82/9.16 % set(auto) -> set(auto_denials).
% 8.82/9.16 % set(auto) -> set(auto_process).
% 8.82/9.16 % set(auto2) -> assign(new_constants, 1).
% 8.82/9.16 % set(auto2) -> assign(fold_denial_max, 3).
% 8.82/9.16 % set(auto2) -> assign(max_weight, "200.000").
% 8.82/9.16 % set(auto2) -> assign(max_hours, 1).
% 8.82/9.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.82/9.16 % set(auto2) -> assign(max_seconds, 0).
% 8.82/9.16 % set(auto2) -> assign(max_minutes, 5).
% 8.82/9.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.82/9.16 % set(auto2) -> set(sort_initial_sos).
% 8.82/9.16 % set(auto2) -> assign(sos_limit, -1).
% 8.82/9.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.82/9.16 % set(auto2) -> assign(max_megs, 400).
% 8.82/9.16 % set(auto2) -> assign(stats, some).
% 8.82/9.16 % set(auto2) -> clear(echo_input).
% 8.82/9.16 % set(auto2) -> set(quiet).
% 8.82/9.16 % set(auto2) -> clear(print_initial_clauses).
% 8.82/9.16 % set(auto2) -> clear(print_given).
% 8.82/9.16 assign(lrs_ticks,-1).
% 8.82/9.16 assign(sos_limit,10000).
% 8.82/9.16 assign(order,kbo).
% 8.82/9.16 set(lex_order_vars).
% 8.82/9.16 clear(print_given).
% 8.82/9.16
% 8.82/9.16 % formulas(sos). % not echoed (64 formulas)
% 8.82/9.16
% 8.82/9.16 ============================== end of input ==========================
% 8.82/9.16
% 8.82/9.16 % From the command line: assign(max_seconds, 300).
% 8.82/9.16
% 8.82/9.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.82/9.16
% 8.82/9.16 % Formulas that are not ordinary clauses:
% 8.82/9.16
% 8.82/9.16 ============================== end of process non-clausal formulas ===
% 8.82/9.16
% 8.82/9.16 ============================== PROCESS INITIAL CLAUSES ===============
% 8.82/9.16
% 8.82/9.16 ============================== PREDICATE ELIMINATION =================
% 8.82/9.16
% 8.82/9.16 ============================== end predicate elimination =============
% 8.82/9.16
% 8.82/9.16 Auto_denials: (non-Horn, no changes).
% 8.82/9.16
% 8.82/9.16 Term ordering decisions:
% 8.82/9.16
% 8.82/9.16 % Assigning unary symbol inverse kb_weight 0 and highest precedence (15).
% 8.82/9.16 Function symbol KB weights: sk_c10=1. sk_c11=1. sk_c9=1. sk_c2=1. sk_c8=1. sk_c1=1. sk_c6=1. sk_c3=1. sk_c4=1. sk_c5=1. sk_c7=1. identity=1. multiply=1. inverse=0.
% 8.82/9.16
% 8.82/9.16 ============================== end of process initial clauses ========
% 8.82/9.16
% 8.82/9.16 ============================== CLAUSES FOR SEARCH ====================
% 8.82/9.16
% 8.82/9.16 ============================== end of clauses for search =============
% 8.82/9.16
% 8.82/9.16 ============================== SEARCH ================================
% 8.82/9.16
% 8.82/9.16 % Starting search at 0.20 seconds.
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=58.000, iters=3343
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=57.000, iters=3337
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=56.000, iters=3343
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=55.000, iters=3336
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=54.000, iters=3466
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=53.000, iters=3341
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=52.000, iters=3337
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=50.000, iters=3348
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=49.000, iters=3381
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=48.000, iters=3379
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=47.000, iters=3402
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=46.000, iters=3403
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=45.000, iters=3354
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=44.000, iters=3342
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=43.000, iters=3351
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=42.000, iters=3406
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=41.000, iters=3350
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=40.000, iters=3412
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=39.000, iters=3485
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=38.000, iters=3357
% 8.82/9.16
% 8.82/9.16 Low Water (keep): wt=37.000, iters=3372
% 8.82/9.16
% 8.82/9.16 ============================== PROOF =================================
% 8.82/9.16 % SZS status Unsatisfiable
% 8.82/9.16 % SZS output start Refutation
% 8.82/9.16
% 8.82/9.16 % Proof 1 at 8.09 (+ 0.08) seconds.
% 8.82/9.16 % Length of proof is 70.
% 8.82/9.16 % Level of proof is 18.
% 8.82/9.16 % Maximum clause weight is 73.000.
% 8.82/9.16 % Given clauses 603.
% 8.82/9.16
% 8.82/9.16 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 8.82/9.16 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 8.82/9.16 3 inverse(sk_c11) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 8.82/9.16 4 inverse(sk_c11) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_4) # label(negated_conjecture). [assumption].
% 8.82/9.16 5 inverse(sk_c11) = sk_c10 | inverse(sk_c5) = sk_c8 # label(prove_this_6) # label(negated_conjecture). [assumption].
% 8.82/9.16 8 inverse(sk_c1) = sk_c2 | inverse(sk_c3) = sk_c11 # label(prove_this_42) # label(negated_conjecture). [assumption].
% 8.82/9.16 13 inverse(sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 8.82/9.16 15 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = sk_c11 # label(prove_this_5) # label(negated_conjecture). [assumption].
% 8.82/9.16 19 multiply(sk_c10,sk_c9) = sk_c11 | inverse(sk_c4) = sk_c10 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 8.82/9.16 28 multiply(sk_c1,sk_c2) = sk_c10 | inverse(sk_c3) = sk_c11 # label(prove_this_32) # label(negated_conjecture). [assumption].
% 8.82/9.16 29 multiply(sk_c1,sk_c2) = sk_c10 | inverse(sk_c4) = sk_c10 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 8.82/9.16 33 inverse(sk_c1) = sk_c2 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_41) # label(negated_conjecture). [assumption].
% 8.82/9.16 44 multiply(sk_c10,sk_c9) = sk_c11 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 8.82/9.16 49 multiply(sk_c11,sk_c9) = sk_c10 | multiply(sk_c4,sk_c10) = sk_c9 # label(prove_this_23) # label(negated_conjecture). [assumption].
% 8.82/9.16 53 multiply(sk_c1,sk_c2) = sk_c10 | multiply(sk_c3,sk_c11) = sk_c10 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 8.82/9.16 63 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 8.82/9.16 64 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != 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_61) # label(negated_conjecture). [assumption].
% 8.82/9.16 66 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | 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(64,a,j)].
% 8.82/9.16 95 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,B) != sk_c10 | inverse(A) != B | multiply(B,sk_c9) != sk_c10 | multiply(C,sk_c11) != sk_c10 | inverse(C) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(D,E) != sk_c11 | inverse(D) != E | multiply(E,sk_c10) != sk_c11 | inverse(sk_c10) != E | multiply(sk_c11,E) != sk_c10. [factor(66,a,m)].
% 8.82/9.16 178 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(B,C) != sk_c11 | inverse(B) != C | multiply(C,sk_c10) != sk_c11 | inverse(sk_c10) != C | multiply(sk_c11,C) != sk_c10. [factor(95,d,g),merge(f),merge(g)].
% 8.82/9.16 361 inverse(sk_c11) = sk_c10 | multiply(sk_c11,sk_c3) = identity. [para(3(b,1),2(a,1,1))].
% 8.82/9.16 362 inverse(sk_c11) = sk_c10 | multiply(sk_c10,sk_c4) = identity. [para(4(b,1),2(a,1,1))].
% 8.82/9.16 363 inverse(sk_c11) = sk_c10 | multiply(sk_c8,sk_c5) = identity. [para(5(b,1),2(a,1,1))].
% 8.82/9.16 371 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),63(a,1,1)),rewrite([1(2)]),flip(a)].
% 8.82/9.16 384 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,A)) = multiply(sk_c11,A). [para(19(a,1),63(a,1,1)),flip(b)].
% 8.82/9.16 4798 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),371(a,1,2))].
% 8.82/9.16 4839 multiply(sk_c10,sk_c9) = sk_c11 | multiply(inverse(sk_c4),sk_c9) = sk_c10. [para(44(b,1),371(a,1,2))].
% 8.82/9.16 4873 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | sk_c11 != B | multiply(C,B) != inverse(inverse(C)) | multiply(C,multiply(B,sk_c10)) != sk_c11 | multiply(C,B) != inverse(sk_c10) | multiply(sk_c11,multiply(C,B)) != sk_c10. [para(371(a,1),178(g,1)),rewrite([63(35)]),flip(g),flip(h),flip(j)].
% 8.82/9.16 4886 inverse(sk_c11) = sk_c10 | multiply(inverse(sk_c11),identity) = sk_c3. [para(361(b,1),371(a,1,2))].
% 8.82/9.16 4887 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(371(a,1),371(a,1,2))].
% 8.82/9.16 4945 multiply(A,identity) = A. [back_rewrite(4798),rewrite([4887(4)])].
% 8.82/9.16 4965 inverse(sk_c11) = sk_c10 | inverse(sk_c11) = sk_c3. [back_rewrite(4886),rewrite([4945(8)])].
% 8.82/9.16 5008 inverse(identity) = identity. [para(4945(a,1),2(a,1))].
% 8.82/9.16 5298 inverse(sk_c11) = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(4965(b,1),2(a,1,1))].
% 8.82/9.16 5301 inverse(sk_c11) = sk_c10 | inverse(sk_c10) = sk_c4. [para(362(b,1),371(a,1,2)),rewrite([4945(8)])].
% 8.82/9.16 5330 inverse(sk_c11) = sk_c10 | inverse(sk_c8) = sk_c5. [para(363(b,1),371(a,1,2)),rewrite([4945(8)])].
% 8.82/9.16 5331 inverse(sk_c11) = sk_c10 | multiply(sk_c5,sk_c8) = identity. [para(5330(b,1),2(a,1,1))].
% 8.82/9.16 6176 multiply(A,inverse(A)) = identity. [para(4887(a,1),2(a,1))].
% 8.82/9.16 6493 inverse(inverse(A)) = A. [para(4887(a,1),4945(a,1)),rewrite([4945(2)]),flip(a)].
% 8.82/9.16 6655 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(A,sk_c11) != sk_c10 | inverse(A) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | sk_c11 != B | multiply(C,B) != C | multiply(C,multiply(B,sk_c10)) != sk_c11 | multiply(C,B) != inverse(sk_c10) | multiply(sk_c11,multiply(C,B)) != sk_c10. [back_rewrite(4873),rewrite([6493(31)])].
% 8.82/9.16 7009 inverse(sk_c11) != sk_c10 | multiply(sk_c10,sk_c9) != sk_c11 | multiply(sk_c11,sk_c9) != sk_c10 | multiply(sk_c10,sk_c11) != sk_c10 | inverse(sk_c10) != sk_c11 | multiply(sk_c11,sk_c10) != sk_c9 | multiply(sk_c10,multiply(sk_c11,sk_c10)) != sk_c11 | multiply(sk_c10,sk_c11) != inverse(sk_c10) | multiply(sk_c11,multiply(sk_c10,sk_c11)) != sk_c10. [factor(6655,d,h),xx(g)].
% 8.82/9.16 7115 inverse(sk_c10) = sk_c4 | inverse(sk_c10) = sk_c11. [para(5301(a,1),6493(a,1,1))].
% 8.82/9.16 7161 inverse(sk_c1) = sk_c2 | multiply(sk_c3,sk_c11) = identity. [para(8(b,1),6176(a,1,2))].
% 8.82/9.16 7410 inverse(sk_c11) = sk_c10 | identity = sk_c10. [para(5298(b,1),13(b,1)),merge(b)].
% 8.82/9.16 7416 identity = sk_c10 | inverse(sk_c10) = sk_c11. [para(7410(a,1),6493(a,1,1))].
% 8.82/9.16 7521 inverse(sk_c11) = sk_c10 | identity = sk_c11. [para(5331(b,1),15(b,1)),merge(b)].
% 8.82/9.16 7527 identity = sk_c11 | inverse(sk_c10) = sk_c11. [para(7521(a,1),6493(a,1,1))].
% 8.82/9.16 7845 inverse(sk_c1) = sk_c2 | identity = sk_c10. [para(7161(b,1),33(b,1)),merge(b)].
% 8.82/9.16 7854 identity = sk_c10 | multiply(sk_c1,sk_c2) = identity. [para(7845(a,1),6176(a,1,2))].
% 8.82/9.16 7907 identity = sk_c10 | inverse(sk_c3) = sk_c11. [para(7854(b,1),28(a,1)),merge(b)].
% 8.82/9.16 7908 identity = sk_c10 | inverse(sk_c4) = sk_c10. [para(7854(b,1),29(a,1)),merge(b)].
% 8.82/9.16 7927 identity = sk_c10 | multiply(sk_c3,sk_c11) = identity. [para(7907(b,1),6176(a,1,2))].
% 8.82/9.16 7934 identity = sk_c10 | inverse(sk_c10) = sk_c4. [para(7908(b,1),6493(a,1,1))].
% 8.82/9.16 7951 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,inverse(sk_c11))) = identity. [para(6176(a,1),384(b,2))].
% 8.82/9.16 8094 identity = sk_c10 | sk_c4 = sk_c11. [para(7934(b,1),7416(b,1)),merge(b)].
% 8.82/9.16 8100 sk_c4 = sk_c11 | inverse(sk_c10) = identity. [para(8094(a,1),5008(a,1,1))].
% 8.82/9.16 8431 sk_c4 = sk_c11 | identity = sk_c11. [para(8100(b,1),7527(b,1)),merge(c)].
% 8.82/9.16 8463 sk_c4 = sk_c11 | sk_c11 = sk_c10. [para(8431(b,1),8094(a,1)),merge(c)].
% 8.82/9.16 8511 sk_c11 = sk_c10 | inverse(sk_c10) = sk_c11. [para(8463(a,1),7115(a,2)),merge(c)].
% 8.82/9.16 9478 identity = sk_c10 | multiply(sk_c1,sk_c2) = sk_c10. [para(7927(b,1),53(b,1)),merge(c)].
% 8.82/9.16 12649 identity = sk_c10. [para(9478(b,1),7854(b,1)),flip(c),merge(b),merge(c)].
% 8.82/9.16 14286 inverse(sk_c4) = sk_c10 | multiply(sk_c10,multiply(sk_c9,inverse(sk_c11))) = sk_c10. [back_rewrite(7951),rewrite([12649(11)])].
% 8.82/9.16 14726 inverse(sk_c10) = sk_c10. [back_rewrite(5008),rewrite([12649(1),12649(3)])].
% 8.82/9.16 14727 multiply(A,sk_c10) = A. [back_rewrite(4945),rewrite([12649(1)])].
% 8.82/9.16 14751 multiply(sk_c10,A) = A. [back_rewrite(1),rewrite([12649(1)])].
% 8.82/9.16 14865 sk_c11 = sk_c10. [back_rewrite(8511),rewrite([14726(5)]),flip(b),merge(b)].
% 8.82/9.16 14878 sk_c9 != sk_c10. [back_rewrite(7009),rewrite([14865(1),14726(2),14751(6),14865(5),14865(7),14751(9),14865(11),14727(12),14726(14),14865(14),14865(16),14727(18),14865(20),14727(22),14727(21),14865(20),14865(23),14727(24),14726(24),14865(25),14865(27),14727(28),14727(27)]),flip(f),xx(a),xx(d),xx(e),xx(g),xx(h),xx(i),merge(b),merge(c)].
% 8.82/9.16 14904 sk_c4 = sk_c9. [back_rewrite(49),rewrite([14865(1),14751(3),14727(6)]),unit_del(a,14878)].
% 8.82/9.16 14906 inverse(sk_c9) = sk_c10. [back_rewrite(14286),rewrite([14904(1),14865(7),14726(8),14727(8),14751(7)]),unit_del(b,14878)].
% 8.82/9.16 14911 $F. [back_rewrite(4839),rewrite([14751(3),14865(2),14904(4),14906(5),14751(6)]),merge(b),unit_del(a,14878)].
% 8.82/9.16
% 8.82/9.16 % SZS output end Refutation
% 8.82/9.16 ============================== end of proof ==========================
% 8.82/9.16
% 8.82/9.16 ============================== STATISTICS ============================
% 8.82/9.16
% 8.82/9.16 Given=603. Generated=73292. Kept=14910. proofs=1.
% 8.82/9.16 Usable=125. Sos=534. Demods=28. Limbo=160, Disabled=14155. Hints=0.
% 8.82/9.16 Megabytes=22.06.
% 8.82/9.16 User_CPU=8.09, System_CPU=0.08, Wall_clock=8.
% 8.82/9.16
% 8.82/9.16 ============================== end of statistics =====================
% 8.82/9.16
% 8.82/9.16 ============================== end of search =========================
% 8.82/9.16
% 8.82/9.16 THEOREM PROVED
% 8.82/9.16 % SZS status Unsatisfiable
% 8.82/9.16
% 8.82/9.16 Exiting with 1 proof.
% 8.82/9.16
% 8.82/9.16 Process 3725 exit (max_proofs) Mon Jun 13 08:20:16 2022
% 8.82/9.16 Prover9 interrupted
%------------------------------------------------------------------------------