TSTP Solution File: LCL109-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 : Sun Jul 17 13:44:04 EDT 2022
% Result : Unsatisfiable 35.46s 35.76s
% Output : Refutation 35.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 23:25:05 EDT 2022
% 0.19/0.34 % CPUTime :
% 6.12/6.44 ============================== Prover9 ===============================
% 6.12/6.44 Prover9 (32) version 2009-11A, November 2009.
% 6.12/6.44 Process 4155 was started by sandbox on n026.cluster.edu,
% 6.12/6.44 Sat Jul 2 23:25:06 2022
% 6.12/6.44 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4000_n026.cluster.edu".
% 6.12/6.44 ============================== end of head ===========================
% 6.12/6.44
% 6.12/6.44 ============================== INPUT =================================
% 6.12/6.44
% 6.12/6.44 % Reading from file /tmp/Prover9_4000_n026.cluster.edu
% 6.12/6.44
% 6.12/6.44 set(prolog_style_variables).
% 6.12/6.44 set(auto2).
% 6.12/6.44 % set(auto2) -> set(auto).
% 6.12/6.44 % set(auto) -> set(auto_inference).
% 6.12/6.44 % set(auto) -> set(auto_setup).
% 6.12/6.44 % set(auto_setup) -> set(predicate_elim).
% 6.12/6.44 % set(auto_setup) -> assign(eq_defs, unfold).
% 6.12/6.44 % set(auto) -> set(auto_limits).
% 6.12/6.44 % set(auto_limits) -> assign(max_weight, "100.000").
% 6.12/6.44 % set(auto_limits) -> assign(sos_limit, 20000).
% 6.12/6.44 % set(auto) -> set(auto_denials).
% 6.12/6.44 % set(auto) -> set(auto_process).
% 6.12/6.44 % set(auto2) -> assign(new_constants, 1).
% 6.12/6.44 % set(auto2) -> assign(fold_denial_max, 3).
% 6.12/6.44 % set(auto2) -> assign(max_weight, "200.000").
% 6.12/6.44 % set(auto2) -> assign(max_hours, 1).
% 6.12/6.44 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 6.12/6.44 % set(auto2) -> assign(max_seconds, 0).
% 6.12/6.44 % set(auto2) -> assign(max_minutes, 5).
% 6.12/6.44 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 6.12/6.44 % set(auto2) -> set(sort_initial_sos).
% 6.12/6.44 % set(auto2) -> assign(sos_limit, -1).
% 6.12/6.44 % set(auto2) -> assign(lrs_ticks, 3000).
% 6.12/6.44 % set(auto2) -> assign(max_megs, 400).
% 6.12/6.44 % set(auto2) -> assign(stats, some).
% 6.12/6.44 % set(auto2) -> clear(echo_input).
% 6.12/6.44 % set(auto2) -> set(quiet).
% 6.12/6.44 % set(auto2) -> clear(print_initial_clauses).
% 6.12/6.44 % set(auto2) -> clear(print_given).
% 6.12/6.44 assign(lrs_ticks,-1).
% 6.12/6.44 assign(sos_limit,10000).
% 6.12/6.44 assign(order,kbo).
% 6.12/6.44 set(lex_order_vars).
% 6.12/6.44 clear(print_given).
% 6.12/6.44
% 6.12/6.44 % formulas(sos). % not echoed (5 formulas)
% 6.12/6.44
% 6.12/6.44 ============================== end of input ==========================
% 6.12/6.44
% 6.12/6.44 % From the command line: assign(max_seconds, 300).
% 6.12/6.44
% 6.12/6.44 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 6.12/6.44
% 6.12/6.44 % Formulas that are not ordinary clauses:
% 6.12/6.44
% 6.12/6.44 ============================== end of process non-clausal formulas ===
% 6.12/6.44
% 6.12/6.44 ============================== PROCESS INITIAL CLAUSES ===============
% 6.12/6.44
% 6.12/6.44 ============================== PREDICATE ELIMINATION =================
% 6.12/6.44
% 6.12/6.44 ============================== end predicate elimination =============
% 6.12/6.44
% 6.12/6.44 Auto_denials:
% 6.12/6.44 % copying label prove_wajsberg_mv_4 to answer in negative clause
% 6.12/6.44
% 6.12/6.44 Term ordering decisions:
% 6.12/6.44
% 6.12/6.44 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 6.12/6.44 Function symbol KB weights: truth=1. a=1. b=1. implies=1. not=0.
% 6.12/6.44
% 6.12/6.44 ============================== end of process initial clauses ========
% 6.12/6.44
% 6.12/6.44 ============================== CLAUSES FOR SEARCH ====================
% 6.12/6.44
% 6.12/6.44 ============================== end of clauses for search =============
% 6.12/6.44
% 6.12/6.44 ============================== SEARCH ================================
% 6.12/6.44
% 6.12/6.44 % Starting search at 0.00 seconds.
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=97.000, iters=3346
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=93.000, iters=3339
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=91.000, iters=3335
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=63.000, iters=3359
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=60.000, iters=3348
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=57.000, iters=3339
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=55.000, iters=3398
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=53.000, iters=3378
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=48.000, iters=3338
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=47.000, iters=3348
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=45.000, iters=3348
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=44.000, iters=3363
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=41.000, iters=3335
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=40.000, iters=3356
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=39.000, iters=3396
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=37.000, iters=3344
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=35.000, iters=3352
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=34.000, iters=3388
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=33.000, iters=3343
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=31.000, iters=3335
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=30.000, iters=3347
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=29.000, iters=3358
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=28.000, iters=3375
% 6.12/6.44
% 6.12/6.44 Low Water (keep): wt=27.000, iters=3350
% 6.12/6.44
% 6.12/6.44 Low Water (displace): id=2608, wt=193.000
% 6.12/6.44
% 6.12/6.44 Low Water (displace): id=2226, wt=169.000
% 6.12/6.44
% 6.12/6.44 Low Water (displace): id=3275, wt=163.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=2576, wt=161.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=2607, wt=159.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=3285, wt=153.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=2609, wt=149.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=3929, wt=145.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=2626, wt=139.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=3927, wt=137.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=11584, wt=26.000
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=26.000, iters=3344
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=11721, wt=24.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=11829, wt=20.000
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=11833, wt=19.000
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=25.000, iters=3338
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=11842, wt=18.000
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=23.000, iters=5289
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=21.000, iters=4456
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=20.000, iters=3976
% 35.46/35.76
% 35.46/35.76 Low Water (keep): wt=19.000, iters=3398
% 35.46/35.76
% 35.46/35.76 Low Water (displace): id=14738, wt=17.000
% 35.46/35.76
% 35.46/35.76 ============================== PROOF =================================
% 35.46/35.76 % SZS status Unsatisfiable
% 35.46/35.76 % SZS output start Refutation
% 35.46/35.76
% 35.46/35.76 % Proof 1 at 34.11 (+ 0.67) seconds: prove_wajsberg_mv_4.
% 35.46/35.76 % Length of proof is 71.
% 35.46/35.76 % Level of proof is 25.
% 35.46/35.76 % Maximum clause weight is 37.000.
% 35.46/35.76 % Given clauses 850.
% 35.46/35.76
% 35.46/35.76 1 implies(truth,A) = A # label(wajsberg_1) # label(axiom). [assumption].
% 35.46/35.76 2 implies(implies(A,B),B) = implies(implies(B,A),A) # label(wajsberg_3) # label(axiom). [assumption].
% 35.46/35.76 3 implies(implies(not(A),not(B)),implies(B,A)) = truth # label(wajsberg_4) # label(axiom). [assumption].
% 35.46/35.76 4 implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth # label(wajsberg_2) # label(axiom). [assumption].
% 35.46/35.76 5 implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth # label(prove_wajsberg_mv_4) # label(negated_conjecture) # answer(prove_wajsberg_mv_4). [assumption].
% 35.46/35.76 6 implies(implies(A,truth),truth) = implies(A,A). [para(1(a,1),2(a,1,1)),flip(a)].
% 35.46/35.76 7 implies(implies(implies(A,B),B),B) = implies(implies(implies(B,A),A),B). [para(2(a,1),2(a,1,1)),rewrite([2(7)]),flip(a)].
% 35.46/35.76 8 implies(implies(not(A),not(truth)),A) = truth. [para(1(a,1),3(a,1,2))].
% 35.46/35.76 9 implies(implies(implies(A,B),implies(not(B),not(A))),implies(not(B),not(A))) = implies(A,B). [para(3(a,1),2(a,1,1)),rewrite([1(3)]),flip(a)].
% 35.46/35.76 10 implies(implies(not(A),not(implies(B,A))),implies(implies(A,B),B)) = truth. [para(2(a,1),3(a,1,2))].
% 35.46/35.76 12 implies(A,implies(implies(A,B),B)) = truth. [para(1(a,1),4(a,1,1)),rewrite([1(3)])].
% 35.46/35.76 13 implies(implies(A,truth),implies(B,implies(A,B))) = truth. [para(1(a,1),4(a,1,2,1))].
% 35.46/35.76 14 implies(implies(implies(implies(A,B),implies(C,B)),implies(C,A)),implies(C,A)) = implies(implies(A,B),implies(C,B)). [para(4(a,1),2(a,1,1)),rewrite([1(5)]),flip(a)].
% 35.46/35.76 15 implies(implies(implies(A,B),B),implies(implies(A,C),implies(implies(B,A),C))) = truth. [para(2(a,1),4(a,1,1))].
% 35.46/35.76 24 implies(implies(A,implies(B,C)),implies(A,implies(implies(C,D),implies(B,D)))) = truth. [para(4(a,1),4(a,1,2,1)),rewrite([1(8)])].
% 35.46/35.76 46 implies(A,A) = truth. [para(12(a,1),1(a,1)),rewrite([1(3)]),flip(a)].
% 35.46/35.76 55 implies(A,truth) = truth. [para(6(a,1),12(a,1,2)),rewrite([46(1)])].
% 35.46/35.76 56 implies(A,implies(B,A)) = truth. [back_rewrite(13),rewrite([55(2),1(4)])].
% 35.46/35.76 57 implies(implies(implies(A,B),B),A) = implies(B,A). [para(7(a,1),2(a,1)),rewrite([56(5),1(6)])].
% 35.46/35.76 74 implies(implies(implies(A,B),C),implies(B,C)) = truth. [para(56(a,1),4(a,1,1)),rewrite([1(6)])].
% 35.46/35.76 75 implies(implies(A,B),implies(A,implies(C,B))) = truth. [para(56(a,1),4(a,1,2,1)),rewrite([1(5)])].
% 35.46/35.76 76 implies(not(truth),not(not(truth))) = not(not(truth)). [para(8(a,1),57(a,1,1)),rewrite([1(5)]),flip(a)].
% 35.46/35.76 84 implies(implies(implies(implies(A,B),B),implies(not(A),not(implies(B,A)))),implies(not(A),not(implies(B,A)))) = implies(implies(B,A),A). [para(2(a,1),9(a,1,1,1))].
% 35.46/35.76 92 implies(implies(implies(A,B),C),implies(implies(implies(D,A),B),C)) = truth. [para(74(a,1),4(a,1,1)),rewrite([1(8)])].
% 35.46/35.76 95 implies(not(truth),A) = truth. [para(8(a,1),74(a,1,1)),rewrite([1(5)])].
% 35.46/35.76 97 implies(A,implies(B,implies(C,A))) = truth. [para(56(a,1),74(a,1,1)),rewrite([1(5)])].
% 35.46/35.76 104 not(not(truth)) = truth. [back_rewrite(76),rewrite([95(6)]),flip(a)].
% 35.46/35.76 115 implies(not(implies(A,not(truth))),A) = truth. [para(104(a,1),10(a,1,1,1)),rewrite([1(6),95(7),1(6)])].
% 35.46/35.76 124 implies(implies(implies(A,implies(B,C)),C),C) = implies(A,implies(B,C)). [para(97(a,1),2(a,1,1)),rewrite([1(4)]),flip(a)].
% 35.46/35.76 135 implies(A,implies(not(A),not(truth))) = truth. [para(115(a,1),3(a,1,1)),rewrite([1(7)])].
% 35.46/35.76 140 implies(implies(implies(implies(implies(A,B),B),implies(C,A)),implies(C,implies(B,A))),implies(C,implies(B,A))) = implies(implies(implies(B,A),A),implies(C,A)). [para(2(a,1),14(a,1,1,1,1))].
% 35.46/35.76 152 implies(implies(implies(A,implies(B,C)),implies(A,C)),implies(A,C)) = implies(A,implies(B,C)). [para(56(a,1),14(a,1,1,1,1)),rewrite([1(4),56(8),1(10)])].
% 35.46/35.76 161 implies(implies(implies(A,B),implies(A,not(truth))),implies(A,not(truth))) = implies(A,B). [para(95(a,1),14(a,1,1,1,1)),rewrite([1(3),95(12),1(12)])].
% 35.46/35.76 172 implies(not(A),not(truth)) = A. [para(135(a,1),2(a,1,1)),rewrite([1(6),8(9),1(6)])].
% 35.46/35.76 173 implies(A,not(truth)) = not(A). [para(172(a,1),2(a,1,1)),rewrite([95(7),1(6)])].
% 35.46/35.76 176 implies(implies(A,not(B)),implies(B,not(A))) = truth. [para(172(a,1),4(a,1,2,1)),rewrite([173(5)])].
% 35.46/35.76 177 implies(implies(not(A),B),implies(not(B),A)) = truth. [para(172(a,1),4(a,1,2,2)),rewrite([173(5)])].
% 35.46/35.76 178 not(not(A)) = A. [para(172(a,1),57(a,2)),rewrite([95(4),1(3),173(4)])].
% 35.46/35.76 180 implies(A,not(B)) = implies(B,not(A)). [para(172(a,1),14(a,1,1,1,1)),rewrite([173(3),176(5),1(4),173(6),178(4),173(5)])].
% 35.46/35.76 181 implies(not(A),B) = implies(not(B),A). [para(172(a,1),14(a,1,1,1,2)),rewrite([173(3),177(5),1(4),173(5),173(7),178(5)])].
% 35.46/35.76 183 implies(A,not(implies(A,not(implies(A,B))))) = implies(A,B). [back_rewrite(161),rewrite([173(4),180(3),173(6),180(5)])].
% 35.46/35.76 205 implies(implies(implies(A,B),B),implies(not(A),not(implies(B,A)))) = truth. [para(173(a,1),15(a,1,2,1)),rewrite([180(7),1(7)])].
% 35.46/35.76 207 implies(implies(A,B),B) = implies(not(B),not(implies(A,B))). [back_rewrite(84),rewrite([205(7),1(6)]),flip(a)].
% 35.46/35.76 239 implies(not(implies(A,B)),not(implies(implies(A,implies(C,B)),implies(A,B)))) = implies(A,implies(C,B)). [back_rewrite(152),rewrite([207(6)])].
% 35.46/35.76 247 implies(not(implies(A,implies(B,C))),not(implies(implies(implies(not(B),not(implies(C,B))),implies(A,C)),implies(A,implies(B,C))))) = implies(implies(not(C),not(implies(B,C))),implies(A,C)). [back_rewrite(140),rewrite([207(2),207(12),207(16)])].
% 35.46/35.76 249 implies(not(A),not(implies(implies(B,implies(C,A)),A))) = implies(B,implies(C,A)). [back_rewrite(124),rewrite([207(4)])].
% 35.46/35.76 264 implies(implies(not(A),not(implies(B,A))),B) = implies(A,B). [back_rewrite(57),rewrite([207(2)])].
% 35.46/35.76 271 implies(A,implies(not(B),not(implies(A,B)))) = truth. [back_rewrite(12),rewrite([207(2)])].
% 35.46/35.76 272 implies(not(implies(b,a)),not(implies(implies(a,b),implies(b,a)))) != truth # answer(prove_wajsberg_mv_4). [back_rewrite(5),rewrite([207(11)])].
% 35.46/35.76 273 implies(not(A),not(implies(B,A))) = implies(not(B),not(implies(A,B))). [back_rewrite(2),rewrite([207(2),207(6)])].
% 35.46/35.76 281 implies(implies(not(A),B),implies(implies(A,C),implies(not(B),C))) = truth. [para(181(a,1),4(a,1,1))].
% 35.46/35.76 357 implies(A,implies(B,not(implies(A,not(B))))) = truth. [para(178(a,1),271(a,1,2,1))].
% 35.46/35.76 361 implies(A,implies(implies(not(B),implies(A,C)),implies(not(C),B))) = truth. [para(271(a,1),24(a,1,1)),rewrite([181(4),1(9)])].
% 35.46/35.77 366 implies(not(A),implies(B,not(implies(B,A)))) = truth. [para(357(a,1),181(a,1)),rewrite([180(4),178(3),181(6)]),flip(a)].
% 35.46/35.77 375 implies(not(implies(A,B)),not(implies(implies(C,A),B))) = truth. [para(173(a,1),92(a,1,1)),rewrite([180(7),1(7)])].
% 35.46/35.77 1201 implies(implies(A,not(implies(A,not(B)))),B) = implies(not(A),B). [para(178(a,1),264(a,1,1,1)),rewrite([180(2)])].
% 35.46/35.77 7746 implies(A,not(implies(B,not(implies(B,A))))) = implies(A,B). [para(178(a,1),1201(a,1,1,2,1,2)),rewrite([180(5),180(8),178(7)])].
% 35.46/35.77 9943 implies(not(implies(A,B)),not(implies(not(implies(A,B)),not(implies(A,implies(C,B)))))) = implies(A,implies(C,B)). [para(239(a,1),183(a,1,2,1,2,1)),rewrite([239(18)])].
% 35.46/35.77 12076 implies(A,not(implies(A,B))) = implies(B,not(implies(B,A))). [para(366(a,1),273(a,1,2,1)),rewrite([180(7),178(6),1(5),178(5),180(8),7746(8)])].
% 35.46/35.77 12169 implies(implies(A,B),not(implies(B,not(implies(B,A))))) = A. [para(7746(a,1),273(a,1,2,1)),rewrite([178(5),180(6),181(12),366(12),173(10),178(8)])].
% 35.46/35.77 12347 implies(implies(A,implies(B,C)),C) = implies(not(C),not(implies(A,implies(B,C)))). [para(249(a,1),12076(a,1,2,1)),rewrite([180(15),178(14),56(13),180(12),178(11),1(10)]),flip(a)].
% 35.46/35.77 12442 not(implies(implies(A,implies(B,C)),implies(A,C))) = not(implies(not(implies(A,C)),not(implies(A,implies(B,C))))). [para(239(a,1),12169(a,1,2,1,2,1)),rewrite([180(8),178(7),56(6),1(9)]),flip(a)].
% 35.46/35.77 13014 implies(implies(implies(A,B),C),implies(not(C),not(implies(implies(D,A),B)))) = truth. [para(375(a,1),281(a,1,2,1)),rewrite([178(3),1(9)])].
% 35.46/35.77 15034 implies(A,implies(implies(B,implies(A,C)),implies(B,C))) = truth. [para(178(a,1),361(a,1,2,1,1)),rewrite([180(5),178(4)])].
% 35.46/35.77 15117 implies(implies(A,implies(B,C)),implies(B,implies(A,C))) = truth. [para(15034(a,1),247(a,1,1,1)),rewrite([75(9),180(8),178(7),1(6),15034(12),55(9),46(5),12442(8),9943(11)]),flip(a)].
% 35.46/35.77 15219 implies(A,implies(B,C)) = implies(B,implies(A,C)). [para(15117(a,1),273(a,1,2,1)),rewrite([180(6),178(5),1(4),15117(10),180(8),178(7),1(6)])].
% 35.46/35.77 15633 implies(not(A),implies(implies(implies(B,C),A),not(implies(implies(D,B),C)))) = truth. [back_rewrite(13014),rewrite([15219(8)])].
% 35.46/35.77 18756 implies(not(implies(b,a)),not(implies(b,implies(implies(a,b),a)))) != truth # answer(prove_wajsberg_mv_4). [back_rewrite(272),rewrite([15219(11)])].
% 35.46/35.77 18800 implies(b,implies(not(a),not(implies(b,implies(implies(a,b),a))))) != truth # answer(prove_wajsberg_mv_4). [para(180(a,1),18756(a,1)),rewrite([178(12),15219(11),12347(10)])].
% 35.46/35.77 31653 implies(A,implies(not(B),not(implies(A,implies(implies(B,A),B))))) = truth. [para(12076(a,1),15633(a,1,2)),rewrite([15219(7)])].
% 35.46/35.77 31654 $F # answer(prove_wajsberg_mv_4). [resolve(31653,a,18800,a)].
% 35.46/35.77
% 35.46/35.77 % SZS output end Refutation
% 35.46/35.77 ============================== end of proof ==========================
% 35.46/35.77
% 35.46/35.77 ============================== STATISTICS ============================
% 35.46/35.77
% 35.46/35.77 Given=850. Generated=1241740. Kept=31653. proofs=1.
% 35.46/35.77 Usable=592. Sos=9999. Demods=10550. Limbo=10, Disabled=21056. Hints=0.
% 35.46/35.77 Megabytes=28.16.
% 35.46/35.77 User_CPU=34.11, System_CPU=0.67, Wall_clock=35.
% 35.46/35.77
% 35.46/35.77 ============================== end of statistics =====================
% 35.46/35.77
% 35.46/35.77 ============================== end of search =========================
% 35.46/35.77
% 35.46/35.77 THEOREM PROVED
% 35.46/35.77 % SZS status Unsatisfiable
% 35.46/35.77
% 35.46/35.77 Exiting with 1 proof.
% 35.46/35.77
% 35.46/35.77 Process 4155 exit (max_proofs) Sat Jul 2 23:25:41 2022
% 35.46/35.77 Prover9 interrupted
%------------------------------------------------------------------------------