TSTP Solution File: LCL111-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 13:44:07 EDT 2022
% Result : Unsatisfiable 10.19s 10.50s
% Output : Refutation 10.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n013.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 : Mon Jul 4 12:05:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.87/6.19 ============================== Prover9 ===============================
% 5.87/6.19 Prover9 (32) version 2009-11A, November 2009.
% 5.87/6.19 Process 27324 was started by sandbox on n013.cluster.edu,
% 5.87/6.19 Mon Jul 4 12:05:30 2022
% 5.87/6.19 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27167_n013.cluster.edu".
% 5.87/6.19 ============================== end of head ===========================
% 5.87/6.19
% 5.87/6.19 ============================== INPUT =================================
% 5.87/6.19
% 5.87/6.19 % Reading from file /tmp/Prover9_27167_n013.cluster.edu
% 5.87/6.19
% 5.87/6.19 set(prolog_style_variables).
% 5.87/6.19 set(auto2).
% 5.87/6.19 % set(auto2) -> set(auto).
% 5.87/6.19 % set(auto) -> set(auto_inference).
% 5.87/6.19 % set(auto) -> set(auto_setup).
% 5.87/6.19 % set(auto_setup) -> set(predicate_elim).
% 5.87/6.19 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.87/6.19 % set(auto) -> set(auto_limits).
% 5.87/6.19 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.87/6.19 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.87/6.19 % set(auto) -> set(auto_denials).
% 5.87/6.19 % set(auto) -> set(auto_process).
% 5.87/6.19 % set(auto2) -> assign(new_constants, 1).
% 5.87/6.19 % set(auto2) -> assign(fold_denial_max, 3).
% 5.87/6.19 % set(auto2) -> assign(max_weight, "200.000").
% 5.87/6.19 % set(auto2) -> assign(max_hours, 1).
% 5.87/6.19 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.87/6.19 % set(auto2) -> assign(max_seconds, 0).
% 5.87/6.19 % set(auto2) -> assign(max_minutes, 5).
% 5.87/6.19 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.87/6.19 % set(auto2) -> set(sort_initial_sos).
% 5.87/6.19 % set(auto2) -> assign(sos_limit, -1).
% 5.87/6.19 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.87/6.19 % set(auto2) -> assign(max_megs, 400).
% 5.87/6.19 % set(auto2) -> assign(stats, some).
% 5.87/6.19 % set(auto2) -> clear(echo_input).
% 5.87/6.19 % set(auto2) -> set(quiet).
% 5.87/6.19 % set(auto2) -> clear(print_initial_clauses).
% 5.87/6.19 % set(auto2) -> clear(print_given).
% 5.87/6.19 assign(lrs_ticks,-1).
% 5.87/6.19 assign(sos_limit,10000).
% 5.87/6.19 assign(order,kbo).
% 5.87/6.19 set(lex_order_vars).
% 5.87/6.19 clear(print_given).
% 5.87/6.19
% 5.87/6.19 % formulas(sos). % not echoed (5 formulas)
% 5.87/6.19
% 5.87/6.19 ============================== end of input ==========================
% 5.87/6.19
% 5.87/6.19 % From the command line: assign(max_seconds, 300).
% 5.87/6.19
% 5.87/6.19 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.87/6.19
% 5.87/6.19 % Formulas that are not ordinary clauses:
% 5.87/6.19
% 5.87/6.19 ============================== end of process non-clausal formulas ===
% 5.87/6.19
% 5.87/6.19 ============================== PROCESS INITIAL CLAUSES ===============
% 5.87/6.19
% 5.87/6.19 ============================== PREDICATE ELIMINATION =================
% 5.87/6.19
% 5.87/6.19 ============================== end predicate elimination =============
% 5.87/6.19
% 5.87/6.19 Auto_denials:
% 5.87/6.19 % copying label prove_mv_25 to answer in negative clause
% 5.87/6.19
% 5.87/6.19 Term ordering decisions:
% 5.87/6.19
% 5.87/6.19 % Assigning unary symbol not kb_weight 0 and highest precedence (7).
% 5.87/6.19 Function symbol KB weights: truth=1. x=1. y=1. z=1. implies=1. not=0.
% 5.87/6.19
% 5.87/6.19 ============================== end of process initial clauses ========
% 5.87/6.19
% 5.87/6.19 ============================== CLAUSES FOR SEARCH ====================
% 5.87/6.19
% 5.87/6.19 ============================== end of clauses for search =============
% 5.87/6.19
% 5.87/6.19 ============================== SEARCH ================================
% 5.87/6.19
% 5.87/6.19 % Starting search at 0.01 seconds.
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=97.000, iters=3346
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=93.000, iters=3339
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=91.000, iters=3335
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=63.000, iters=3359
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=60.000, iters=3348
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=57.000, iters=3339
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=55.000, iters=3398
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=53.000, iters=3378
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=48.000, iters=3338
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=47.000, iters=3348
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=45.000, iters=3348
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=44.000, iters=3363
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=41.000, iters=3335
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=40.000, iters=3356
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=39.000, iters=3396
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=37.000, iters=3344
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=35.000, iters=3352
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=34.000, iters=3388
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=33.000, iters=3343
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=31.000, iters=3335
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=30.000, iters=3347
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=29.000, iters=3358
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=28.000, iters=3375
% 5.87/6.19
% 5.87/6.19 Low Water (keep): wt=27.000, iters=3350
% 5.87/6.19
% 5.87/6.19 Low Water (displace): id=2607, wt=193.000
% 5.87/6.19
% 5.87/6.19 Low Water (displace): id=2225, wt=169.000
% 5.87/6.19
% 5.87/6.19 Low Water (displace): id=3274, wt=163.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=2575, wt=161.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=2606, wt=159.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=3284, wt=153.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=2608, wt=149.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=3928, wt=145.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=2625, wt=139.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=3926, wt=137.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=11583, wt=26.000
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=26.000, iters=3344
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=11720, wt=24.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=11828, wt=20.000
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=11832, wt=19.000
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=25.000, iters=3338
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=11841, wt=18.000
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=24.000, iters=3357
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=23.000, iters=3359
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=22.000, iters=3407
% 10.19/10.50
% 10.19/10.50 Low Water (displace): id=14303, wt=17.000
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=21.000, iters=3341
% 10.19/10.50
% 10.19/10.50 Low Water (keep): wt=20.000, iters=3336
% 10.19/10.50
% 10.19/10.50 ============================== PROOF =================================
% 10.19/10.50 % SZS status Unsatisfiable
% 10.19/10.50 % SZS output start Refutation
% 10.19/10.50
% 10.19/10.50 % Proof 1 at 9.29 (+ 0.21) seconds: prove_mv_25.
% 10.19/10.50 % Length of proof is 39.
% 10.19/10.50 % Level of proof is 19.
% 10.19/10.50 % Maximum clause weight is 27.000.
% 10.19/10.50 % Given clauses 377.
% 10.19/10.50
% 10.19/10.50 1 implies(truth,A) = A # label(wajsberg_1) # label(axiom). [assumption].
% 10.19/10.50 2 implies(implies(A,B),B) = implies(implies(B,A),A) # label(wajsberg_3) # label(axiom). [assumption].
% 10.19/10.50 3 implies(implies(not(A),not(B)),implies(B,A)) = truth # label(wajsberg_4) # label(axiom). [assumption].
% 10.19/10.50 4 implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth # label(wajsberg_2) # label(axiom). [assumption].
% 10.19/10.50 5 implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth # label(prove_mv_25) # label(negated_conjecture) # answer(prove_mv_25). [assumption].
% 10.19/10.50 6 implies(implies(A,truth),truth) = implies(A,A). [para(1(a,1),2(a,1,1)),flip(a)].
% 10.19/10.50 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)].
% 10.19/10.50 8 implies(implies(not(A),not(truth)),A) = truth. [para(1(a,1),3(a,1,2))].
% 10.19/10.50 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)].
% 10.19/10.50 10 implies(implies(not(A),not(implies(B,A))),implies(implies(A,B),B)) = truth. [para(2(a,1),3(a,1,2))].
% 10.19/10.50 12 implies(A,implies(implies(A,B),B)) = truth. [para(1(a,1),4(a,1,1)),rewrite([1(3)])].
% 10.19/10.50 13 implies(implies(A,truth),implies(B,implies(A,B))) = truth. [para(1(a,1),4(a,1,2,1))].
% 10.19/10.50 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)].
% 10.19/10.50 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))].
% 10.19/10.50 23 implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D)) = truth. [para(4(a,1),4(a,1,1)),rewrite([1(9)])].
% 10.19/10.50 46 implies(A,A) = truth. [para(12(a,1),1(a,1)),rewrite([1(3)]),flip(a)].
% 10.19/10.50 51 implies(implies(implies(implies(A,B),B),C),implies(A,C)) = truth. [para(12(a,1),4(a,1,1)),rewrite([1(7)])].
% 10.19/10.50 55 implies(A,truth) = truth. [para(6(a,1),12(a,1,2)),rewrite([46(1)])].
% 10.19/10.50 56 implies(A,implies(B,A)) = truth. [back_rewrite(13),rewrite([55(2),1(4)])].
% 10.19/10.50 57 implies(implies(implies(A,B),B),A) = implies(B,A). [para(7(a,1),2(a,1)),rewrite([56(5),1(6)])].
% 10.19/10.50 74 implies(implies(implies(A,B),C),implies(B,C)) = truth. [para(56(a,1),4(a,1,1)),rewrite([1(6)])].
% 10.19/10.50 76 implies(not(truth),not(not(truth))) = not(not(truth)). [para(8(a,1),57(a,1,1)),rewrite([1(5)]),flip(a)].
% 10.19/10.50 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))].
% 10.19/10.50 95 implies(not(truth),A) = truth. [para(8(a,1),74(a,1,1)),rewrite([1(5)])].
% 10.19/10.50 104 not(not(truth)) = truth. [back_rewrite(76),rewrite([95(6)]),flip(a)].
% 10.19/10.50 115 implies(not(implies(A,not(truth))),A) = truth. [para(104(a,1),10(a,1,1,1)),rewrite([1(6),95(7),1(6)])].
% 10.19/10.50 135 implies(A,implies(not(A),not(truth))) = truth. [para(115(a,1),3(a,1,1)),rewrite([1(7)])].
% 10.19/10.50 172 implies(not(A),not(truth)) = A. [para(135(a,1),2(a,1,1)),rewrite([1(6),8(9),1(6)])].
% 10.19/10.50 173 implies(A,not(truth)) = not(A). [para(172(a,1),2(a,1,1)),rewrite([95(7),1(6)])].
% 10.19/10.50 176 implies(implies(A,not(B)),implies(B,not(A))) = truth. [para(172(a,1),4(a,1,2,1)),rewrite([173(5)])].
% 10.19/10.50 178 not(not(A)) = A. [para(172(a,1),57(a,2)),rewrite([95(4),1(3),173(4)])].
% 10.19/10.50 180 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)])].
% 10.19/10.50 205 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)])].
% 10.19/10.50 207 implies(implies(A,B),B) = implies(not(B),not(implies(A,B))). [back_rewrite(84),rewrite([205(7),1(6)]),flip(a)].
% 10.19/10.50 266 implies(implies(implies(not(A),not(implies(B,A))),C),implies(B,C)) = truth. [back_rewrite(51),rewrite([207(2)])].
% 10.19/10.50 293 implies(implies(implies(implies(A,not(B)),implies(A,not(C))),D),implies(implies(C,B),D)) = truth. [para(180(a,1),23(a,1,1,1,1)),rewrite([180(4)])].
% 10.19/10.50 16759 implies(implies(A,implies(B,C)),implies(B,implies(A,C))) = truth. [para(266(a,1),293(a,1,1)),rewrite([180(6),178(5),1(7)])].
% 10.19/10.50 16766 implies(implies(A,B),implies(implies(C,A),implies(C,B))) = truth. [para(4(a,1),16759(a,1,1)),rewrite([1(7)])].
% 10.19/10.50 16767 $F # answer(prove_mv_25). [resolve(16766,a,5,a)].
% 10.19/10.50
% 10.19/10.50 % SZS output end Refutation
% 10.19/10.50 ============================== end of proof ==========================
% 10.19/10.50
% 10.19/10.50 ============================== STATISTICS ============================
% 10.19/10.50
% 10.19/10.50 Given=377. Generated=368908. Kept=16766. proofs=1.
% 10.19/10.50 Usable=348. Sos=9950. Demods=10280. Limbo=2, Disabled=6470. Hints=0.
% 10.19/10.50 Megabytes=19.51.
% 10.19/10.50 User_CPU=9.29, System_CPU=0.21, Wall_clock=9.
% 10.19/10.50
% 10.19/10.50 ============================== end of statistics =====================
% 10.19/10.50
% 10.19/10.50 ============================== end of search =========================
% 10.19/10.50
% 10.19/10.50 THEOREM PROVED
% 10.19/10.50 % SZS status Unsatisfiable
% 10.19/10.50
% 10.19/10.50 Exiting with 1 proof.
% 10.19/10.50
% 10.19/10.50 Process 27324 exit (max_proofs) Mon Jul 4 12:05:39 2022
% 10.19/10.50 Prover9 interrupted
%------------------------------------------------------------------------------