TSTP Solution File: LCL068-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : Sun Jul 17 13:43:45 EDT 2022
% Result : Unsatisfiable 3.29s 3.57s
% Output : Refutation 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n014.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 Jul 4 17:18:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.37/1.67 ============================== Prover9 ===============================
% 1.37/1.67 Prover9 (32) version 2009-11A, November 2009.
% 1.37/1.67 Process 27948 was started by sandbox on n014.cluster.edu,
% 1.37/1.67 Mon Jul 4 17:18:09 2022
% 1.37/1.67 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27795_n014.cluster.edu".
% 1.37/1.67 ============================== end of head ===========================
% 1.37/1.67
% 1.37/1.67 ============================== INPUT =================================
% 1.37/1.67
% 1.37/1.67 % Reading from file /tmp/Prover9_27795_n014.cluster.edu
% 1.37/1.67
% 1.37/1.67 set(prolog_style_variables).
% 1.37/1.67 set(auto2).
% 1.37/1.67 % set(auto2) -> set(auto).
% 1.37/1.67 % set(auto) -> set(auto_inference).
% 1.37/1.67 % set(auto) -> set(auto_setup).
% 1.37/1.67 % set(auto_setup) -> set(predicate_elim).
% 1.37/1.67 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.37/1.67 % set(auto) -> set(auto_limits).
% 1.37/1.67 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.37/1.67 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.37/1.67 % set(auto) -> set(auto_denials).
% 1.37/1.67 % set(auto) -> set(auto_process).
% 1.37/1.67 % set(auto2) -> assign(new_constants, 1).
% 1.37/1.67 % set(auto2) -> assign(fold_denial_max, 3).
% 1.37/1.67 % set(auto2) -> assign(max_weight, "200.000").
% 1.37/1.67 % set(auto2) -> assign(max_hours, 1).
% 1.37/1.67 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.37/1.67 % set(auto2) -> assign(max_seconds, 0).
% 1.37/1.67 % set(auto2) -> assign(max_minutes, 5).
% 1.37/1.67 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.37/1.67 % set(auto2) -> set(sort_initial_sos).
% 1.37/1.67 % set(auto2) -> assign(sos_limit, -1).
% 1.37/1.67 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.37/1.67 % set(auto2) -> assign(max_megs, 400).
% 1.37/1.67 % set(auto2) -> assign(stats, some).
% 1.37/1.67 % set(auto2) -> clear(echo_input).
% 1.37/1.67 % set(auto2) -> set(quiet).
% 1.37/1.67 % set(auto2) -> clear(print_initial_clauses).
% 1.37/1.67 % set(auto2) -> clear(print_given).
% 1.37/1.67 assign(lrs_ticks,-1).
% 1.37/1.67 assign(sos_limit,10000).
% 1.37/1.67 assign(order,kbo).
% 1.37/1.67 set(lex_order_vars).
% 1.37/1.67 clear(print_given).
% 1.37/1.67
% 1.37/1.67 % formulas(sos). % not echoed (5 formulas)
% 1.37/1.67
% 1.37/1.67 ============================== end of input ==========================
% 1.37/1.67
% 1.37/1.67 % From the command line: assign(max_seconds, 300).
% 1.37/1.67
% 1.37/1.67 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.37/1.67
% 1.37/1.67 % Formulas that are not ordinary clauses:
% 1.37/1.67
% 1.37/1.67 ============================== end of process non-clausal formulas ===
% 1.37/1.67
% 1.37/1.67 ============================== PROCESS INITIAL CLAUSES ===============
% 1.37/1.67
% 1.37/1.67 ============================== PREDICATE ELIMINATION =================
% 1.37/1.67
% 1.37/1.67 ============================== end predicate elimination =============
% 1.37/1.67
% 1.37/1.67 Auto_denials:
% 1.37/1.67 % copying label prove_cn_2 to answer in negative clause
% 1.37/1.67
% 1.37/1.67 Term ordering decisions:
% 1.37/1.67
% 1.37/1.67 % Assigning unary symbol not kb_weight 0 and highest precedence (4).
% 1.37/1.67 Function symbol KB weights: a=1. implies=1. not=0.
% 1.37/1.67
% 1.37/1.67 ============================== end of process initial clauses ========
% 1.37/1.67
% 1.37/1.67 ============================== CLAUSES FOR SEARCH ====================
% 1.37/1.67
% 1.37/1.67 ============================== end of clauses for search =============
% 1.37/1.67
% 1.37/1.67 ============================== SEARCH ================================
% 1.37/1.67
% 1.37/1.67 % Starting search at 0.01 seconds.
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=40.000, iters=3403
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=39.000, iters=3396
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=38.000, iters=3385
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=31.000, iters=3348
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=29.000, iters=3344
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=27.000, iters=3335
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=26.000, iters=3341
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=25.000, iters=3343
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=24.000, iters=3394
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=23.000, iters=3340
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=22.000, iters=3337
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=21.000, iters=3347
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=20.000, iters=3380
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=19.000, iters=3346
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=18.000, iters=3349
% 1.37/1.67
% 1.37/1.67 Low Water (keep): wt=17.000, iters=3448
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=2166, wt=91.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=1689, wt=90.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=4200, wt=70.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=2168, wt=69.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=1576, wt=68.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=4199, wt=66.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=2167, wt=65.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=1636, wt=64.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=4198, wt=62.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=2165, wt=61.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=1755, wt=60.000
% 1.37/1.67
% 1.37/1.67 Low Water (displace): id=4246, wt=58.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=2214, wt=57.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=1208, wt=56.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=4190, wt=54.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=3586, wt=53.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=4212, wt=52.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=2180, wt=51.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=1690, wt=50.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5363, wt=48.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5372, wt=47.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5374, wt=46.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=2171, wt=45.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5477, wt=44.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5484, wt=43.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=5486, wt=42.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=2577, wt=41.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=10876, wt=14.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=11002, wt=13.000
% 3.29/3.57
% 3.29/3.57 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 28 (0.00 of 0.82 sec).
% 3.29/3.57
% 3.29/3.57 Low Water (keep): wt=16.000, iters=3333
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=11891, wt=12.000
% 3.29/3.57
% 3.29/3.57 Low Water (displace): id=19816, wt=11.000
% 3.29/3.57
% 3.29/3.57 Low Water (keep): wt=15.000, iters=3343
% 3.29/3.57
% 3.29/3.57 ============================== PROOF =================================
% 3.29/3.57 % SZS status Unsatisfiable
% 3.29/3.57 % SZS output start Refutation
% 3.29/3.57
% 3.29/3.57 % Proof 1 at 2.29 (+ 0.32) seconds: prove_cn_2.
% 3.29/3.57 % Length of proof is 52.
% 3.29/3.57 % Level of proof is 18.
% 3.29/3.57 % Maximum clause weight is 20.000.
% 3.29/3.57 % Given clauses 1173.
% 3.29/3.57
% 3.29/3.57 1 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))) # label(cn_19) # label(axiom). [assumption].
% 3.29/3.57 2 is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))) # label(cn_37) # label(axiom). [assumption].
% 3.29/3.57 3 is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))) # label(cn_59) # label(axiom). [assumption].
% 3.29/3.57 4 -is_a_theorem(implies(implies(not(a),a),a)) # label(prove_cn_2) # label(negated_conjecture) # answer(prove_cn_2). [assumption].
% 3.29/3.57 5 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 3.29/3.57 6 is_a_theorem(implies(not(not(A)),implies(implies(B,C),implies(implies(A,B),C)))). [hyper(5,a,2,a,b,3,a)].
% 3.29/3.57 8 is_a_theorem(implies(not(implies(A,B)),implies(B,C))). [hyper(5,a,2,a,b,1,a)].
% 3.29/3.57 11 is_a_theorem(implies(A,implies(B,A))). [hyper(5,a,1,a,b,1,a)].
% 3.29/3.57 14 is_a_theorem(implies(implies(A,implies(B,not(C))),implies(implies(C,A),implies(B,not(C))))). [hyper(5,a,3,a,b,11,a)].
% 3.29/3.57 15 is_a_theorem(implies(not(A),implies(B,implies(A,C)))). [hyper(5,a,2,a,b,11,a)].
% 3.29/3.57 16 is_a_theorem(implies(A,implies(B,implies(C,A)))). [hyper(5,a,1,a,b,11,a)].
% 3.29/3.57 24 is_a_theorem(implies(implies(A,implies(B,implies(C,not(D)))),implies(implies(D,A),implies(B,implies(C,not(D)))))). [hyper(5,a,3,a,b,16,a)].
% 3.29/3.57 26 is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))). [hyper(5,a,1,a,b,16,a)].
% 3.29/3.57 40 is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(implies(C,A),implies(B,implies(C,D))))). [hyper(5,a,3,a,b,15,a)].
% 3.29/3.57 84 is_a_theorem(implies(implies(A,not(implies(B,C))),implies(C,not(A)))). [hyper(5,a,14,a,b,8,a)].
% 3.29/3.57 146 is_a_theorem(implies(implies(A,not(B)),implies(C,implies(B,not(A))))). [hyper(5,a,24,a,b,15,a)].
% 3.29/3.57 459 is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))). [hyper(5,a,40,a,b,26,a)].
% 3.29/3.57 465 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(5,a,40,a,b,11,a)].
% 3.29/3.57 535 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(5,a,465,a,b,465,a)].
% 3.29/3.57 555 is_a_theorem(implies(A,implies(B,B))). [hyper(5,a,465,a,b,11,a)].
% 3.29/3.57 559 is_a_theorem(implies(A,A)). [hyper(5,a,555,a,b,555,a)].
% 3.29/3.57 567 is_a_theorem(implies(A,implies(B,not(not(B))))). [hyper(5,a,146,a,b,559,a)].
% 3.29/3.57 569 is_a_theorem(implies(A,not(not(implies(B,A))))). [hyper(5,a,84,a,b,559,a)].
% 3.29/3.57 577 is_a_theorem(implies(not(A),implies(A,B))). [hyper(5,a,2,a,b,559,a)].
% 3.29/3.57 581 is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))). [hyper(5,a,40,a,b,577,a)].
% 3.29/3.57 587 is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))). [hyper(5,a,14,a,b,577,a)].
% 3.29/3.57 630 is_a_theorem(implies(A,not(not(A)))). [hyper(5,a,567,a,b,567,a)].
% 3.29/3.57 638 is_a_theorem(implies(A,implies(B,implies(C,not(not(B)))))). [hyper(5,a,459,a,b,630,a)].
% 3.29/3.57 645 is_a_theorem(not(not(implies(A,A)))). [hyper(5,a,630,a,b,559,a)].
% 3.29/3.57 716 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,C),A),B))). [hyper(5,a,6,a,b,645,a)].
% 3.29/3.57 1095 is_a_theorem(implies(not(implies(A,B)),not(B))). [hyper(5,a,587,a,b,569,a)].
% 3.29/3.57 1248 is_a_theorem(implies(A,implies(B,not(not(A))))). [hyper(5,a,638,a,b,638,a)].
% 3.29/3.57 1265 is_a_theorem(implies(implies(not(A),A),implies(B,not(not(A))))). [hyper(5,a,14,a,b,1248,a)].
% 3.29/3.57 1916 is_a_theorem(implies(A,implies(not(A),B))). [hyper(5,a,581,a,b,559,a)].
% 3.29/3.57 1939 is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))). [hyper(5,a,14,a,b,1916,a)].
% 3.29/3.57 2348 is_a_theorem(implies(not(not(A)),not(not(implies(B,A))))). [hyper(5,a,1939,a,b,1095,a)].
% 3.29/3.57 3203 is_a_theorem(implies(not(implies(A,B)),implies(not(not(B)),C))). [hyper(5,a,581,a,b,2348,a)].
% 3.29/3.57 7997 is_a_theorem(implies(A,not(not(implies(not(not(B)),B))))). [hyper(5,a,1265,a,b,3203,a)].
% 3.29/3.57 8016 is_a_theorem(not(not(implies(not(not(A)),A)))). [hyper(5,a,7997,a,b,7997,a)].
% 3.29/3.57 9446 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(5,a,535,a,b,535,a)].
% 3.29/3.57 9462 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))). [hyper(5,a,9446,a,b,459,a)].
% 3.29/3.57 9485 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(5,a,40,a,b,9462,a)].
% 3.29/3.57 10968 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(5,a,716,a,b,559,a)].
% 3.29/3.57 13415 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(5,a,10968,a,b,9485,a)].
% 3.29/3.57 13418 is_a_theorem(implies(A,implies(implies(B,implies(A,C)),implies(B,C)))). [hyper(5,a,9485,a,b,9485,a)].
% 3.29/3.57 13602 is_a_theorem(implies(implies(not(not(implies(not(not(A)),A))),B),B)). [hyper(5,a,13415,a,b,8016,a)].
% 3.29/3.57 16460 is_a_theorem(implies(implies(A,implies(implies(B,B),C)),implies(A,C))). [hyper(5,a,10968,a,b,13418,a)].
% 3.29/3.57 19090 is_a_theorem(implies(not(not(A)),implies(implies(A,B),B))). [hyper(5,a,16460,a,b,6,a)].
% 3.29/3.57 19091 is_a_theorem(implies(implies(not(A),B),implies(implies(A,B),B))). [hyper(5,a,16460,a,b,3,a)].
% 3.29/3.57 19095 is_a_theorem(implies(implies(implies(not(not(A)),A),B),B)). [hyper(5,a,13602,a,b,19090,a)].
% 3.29/3.57 20063 is_a_theorem(implies(implies(not(A),A),A)). [hyper(5,a,19095,a,b,19091,a)].
% 3.29/3.57 20064 $F # answer(prove_cn_2). [resolve(20063,a,4,a)].
% 3.29/3.57
% 3.29/3.57 % SZS output end Refutation
% 3.29/3.57 ============================== end of proof ==========================
% 3.29/3.57
% 3.29/3.57 ============================== STATISTICS ============================
% 3.29/3.57
% 3.29/3.57 Given=1173. Generated=617595. Kept=20063. proofs=1.
% 3.29/3.57 Usable=1166. Sos=9999. Demods=0. Limbo=1, Disabled=8901. Hints=0.
% 3.29/3.57 Megabytes=13.08.
% 3.29/3.57 User_CPU=2.29, System_CPU=0.32, Wall_clock=3.
% 3.29/3.57
% 3.29/3.57 ============================== end of statistics =====================
% 3.29/3.57
% 3.29/3.57 ============================== end of search =========================
% 3.29/3.57
% 3.29/3.57 THEOREM PROVED
% 3.29/3.57 % SZS status Unsatisfiable
% 3.29/3.57
% 3.29/3.57 Exiting with 1 proof.
% 3.29/3.57
% 3.29/3.57 Process 27948 exit (max_proofs) Mon Jul 4 17:18:12 2022
% 3.29/3.57 Prover9 interrupted
%------------------------------------------------------------------------------