TSTP Solution File: LCL067-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 2.02s 2.33s
% Output : Refutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 21:34:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.43/1.70 ============================== Prover9 ===============================
% 1.43/1.70 Prover9 (32) version 2009-11A, November 2009.
% 1.43/1.70 Process 18587 was started by sandbox on n008.cluster.edu,
% 1.43/1.70 Sat Jul 2 21:34:23 2022
% 1.43/1.70 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18232_n008.cluster.edu".
% 1.43/1.70 ============================== end of head ===========================
% 1.43/1.70
% 1.43/1.70 ============================== INPUT =================================
% 1.43/1.70
% 1.43/1.70 % Reading from file /tmp/Prover9_18232_n008.cluster.edu
% 1.43/1.70
% 1.43/1.70 set(prolog_style_variables).
% 1.43/1.70 set(auto2).
% 1.43/1.70 % set(auto2) -> set(auto).
% 1.43/1.70 % set(auto) -> set(auto_inference).
% 1.43/1.70 % set(auto) -> set(auto_setup).
% 1.43/1.70 % set(auto_setup) -> set(predicate_elim).
% 1.43/1.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.43/1.70 % set(auto) -> set(auto_limits).
% 1.43/1.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.43/1.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.43/1.70 % set(auto) -> set(auto_denials).
% 1.43/1.70 % set(auto) -> set(auto_process).
% 1.43/1.70 % set(auto2) -> assign(new_constants, 1).
% 1.43/1.70 % set(auto2) -> assign(fold_denial_max, 3).
% 1.43/1.70 % set(auto2) -> assign(max_weight, "200.000").
% 1.43/1.70 % set(auto2) -> assign(max_hours, 1).
% 1.43/1.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.43/1.70 % set(auto2) -> assign(max_seconds, 0).
% 1.43/1.70 % set(auto2) -> assign(max_minutes, 5).
% 1.43/1.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.43/1.70 % set(auto2) -> set(sort_initial_sos).
% 1.43/1.70 % set(auto2) -> assign(sos_limit, -1).
% 1.43/1.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.43/1.70 % set(auto2) -> assign(max_megs, 400).
% 1.43/1.70 % set(auto2) -> assign(stats, some).
% 1.43/1.70 % set(auto2) -> clear(echo_input).
% 1.43/1.70 % set(auto2) -> set(quiet).
% 1.43/1.70 % set(auto2) -> clear(print_initial_clauses).
% 1.43/1.70 % set(auto2) -> clear(print_given).
% 1.43/1.70 assign(lrs_ticks,-1).
% 1.43/1.70 assign(sos_limit,10000).
% 1.43/1.70 assign(order,kbo).
% 1.43/1.70 set(lex_order_vars).
% 1.43/1.70 clear(print_given).
% 1.43/1.70
% 1.43/1.70 % formulas(sos). % not echoed (5 formulas)
% 1.43/1.70
% 1.43/1.70 ============================== end of input ==========================
% 1.43/1.70
% 1.43/1.70 % From the command line: assign(max_seconds, 300).
% 1.43/1.70
% 1.43/1.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.43/1.70
% 1.43/1.70 % Formulas that are not ordinary clauses:
% 1.43/1.70
% 1.43/1.70 ============================== end of process non-clausal formulas ===
% 1.43/1.70
% 1.43/1.70 ============================== PROCESS INITIAL CLAUSES ===============
% 1.43/1.70
% 1.43/1.70 ============================== PREDICATE ELIMINATION =================
% 1.43/1.70
% 1.43/1.70 ============================== end predicate elimination =============
% 1.43/1.70
% 1.43/1.70 Auto_denials:
% 1.43/1.70 % copying label prove_cn_1 to answer in negative clause
% 1.43/1.70
% 1.43/1.70 Term ordering decisions:
% 1.43/1.70
% 1.43/1.70 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 1.43/1.70 Function symbol KB weights: a=1. b=1. c=1. implies=1. not=0.
% 1.43/1.70
% 1.43/1.70 ============================== end of process initial clauses ========
% 1.43/1.70
% 1.43/1.70 ============================== CLAUSES FOR SEARCH ====================
% 1.43/1.70
% 1.43/1.70 ============================== end of clauses for search =============
% 1.43/1.70
% 1.43/1.70 ============================== SEARCH ================================
% 1.43/1.70
% 1.43/1.70 % Starting search at 0.01 seconds.
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=40.000, iters=3403
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=39.000, iters=3396
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=38.000, iters=3385
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=31.000, iters=3348
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=29.000, iters=3344
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=27.000, iters=3335
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=26.000, iters=3341
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=25.000, iters=3343
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=24.000, iters=3394
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=23.000, iters=3340
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=22.000, iters=3337
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=21.000, iters=3347
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=20.000, iters=3380
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=19.000, iters=3346
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=18.000, iters=3349
% 1.43/1.70
% 1.43/1.70 Low Water (keep): wt=17.000, iters=3448
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=2166, wt=91.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=1689, wt=90.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=4200, wt=70.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=2168, wt=69.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=1576, wt=68.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=4199, wt=66.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=2167, wt=65.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=1636, wt=64.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=4198, wt=62.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=2165, wt=61.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=1755, wt=60.000
% 1.43/1.70
% 1.43/1.70 Low Water (displace): id=4246, wt=58.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=2214, wt=57.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=1208, wt=56.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=4190, wt=54.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=3586, wt=53.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=4212, wt=52.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=2180, wt=51.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=1690, wt=50.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5363, wt=48.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5372, wt=47.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5374, wt=46.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=2171, wt=45.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5477, wt=44.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5484, wt=43.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=5486, wt=42.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=2577, wt=41.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=10876, wt=14.000
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=11002, wt=13.000
% 2.02/2.33
% 2.02/2.33 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 28 (0.00 of 0.81 sec).
% 2.02/2.33
% 2.02/2.33 Low Water (keep): wt=16.000, iters=3333
% 2.02/2.33
% 2.02/2.33 Low Water (displace): id=11891, wt=12.000
% 2.02/2.33
% 2.02/2.33 ============================== PROOF =================================
% 2.02/2.33 % SZS status Unsatisfiable
% 2.02/2.33 % SZS output start Refutation
% 2.02/2.33
% 2.02/2.33 % Proof 1 at 1.19 (+ 0.15) seconds: prove_cn_1.
% 2.02/2.33 % Length of proof is 19.
% 2.02/2.33 % Level of proof is 11.
% 2.02/2.33 % Maximum clause weight is 18.000.
% 2.02/2.33 % Given clauses 728.
% 2.02/2.33
% 2.02/2.33 1 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))) # label(cn_19) # label(axiom). [assumption].
% 2.02/2.33 2 is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))) # label(cn_37) # label(axiom). [assumption].
% 2.02/2.33 3 is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))) # label(cn_59) # label(axiom). [assumption].
% 2.02/2.33 4 -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) # label(prove_cn_1) # label(negated_conjecture) # answer(prove_cn_1). [assumption].
% 2.02/2.33 5 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 2.02/2.33 11 is_a_theorem(implies(A,implies(B,A))). [hyper(5,a,1,a,b,1,a)].
% 2.02/2.33 15 is_a_theorem(implies(not(A),implies(B,implies(A,C)))). [hyper(5,a,2,a,b,11,a)].
% 2.02/2.33 16 is_a_theorem(implies(A,implies(B,implies(C,A)))). [hyper(5,a,1,a,b,11,a)].
% 2.02/2.33 26 is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))). [hyper(5,a,1,a,b,16,a)].
% 2.02/2.33 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)].
% 2.02/2.33 459 is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))). [hyper(5,a,40,a,b,26,a)].
% 2.02/2.33 465 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(5,a,40,a,b,11,a)].
% 2.02/2.33 535 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(5,a,465,a,b,465,a)].
% 2.02/2.33 9446 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(5,a,535,a,b,535,a)].
% 2.02/2.33 9462 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))). [hyper(5,a,9446,a,b,459,a)].
% 2.02/2.33 9485 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(5,a,40,a,b,9462,a)].
% 2.02/2.33 13428 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [hyper(5,a,9485,a,b,9462,a)].
% 2.02/2.33 13919 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(5,a,40,a,b,13428,a)].
% 2.02/2.33 13920 $F # answer(prove_cn_1). [resolve(13919,a,4,a)].
% 2.02/2.33
% 2.02/2.33 % SZS output end Refutation
% 2.02/2.33 ============================== end of proof ==========================
% 2.02/2.33
% 2.02/2.33 ============================== STATISTICS ============================
% 2.02/2.33
% 2.02/2.33 Given=728. Generated=253135. Kept=13919. proofs=1.
% 2.02/2.33 Usable=721. Sos=9999. Demods=0. Limbo=24, Disabled=3179. Hints=0.
% 2.02/2.33 Megabytes=10.79.
% 2.02/2.33 User_CPU=1.19, System_CPU=0.15, Wall_clock=2.
% 2.02/2.33
% 2.02/2.33 ============================== end of statistics =====================
% 2.02/2.33
% 2.02/2.33 ============================== end of search =========================
% 2.02/2.33
% 2.02/2.33 THEOREM PROVED
% 2.02/2.33 % SZS status Unsatisfiable
% 2.02/2.33
% 2.02/2.33 Exiting with 1 proof.
% 2.02/2.33
% 2.02/2.33 Process 18587 exit (max_proofs) Sat Jul 2 21:34:25 2022
% 2.02/2.33 Prover9 interrupted
%------------------------------------------------------------------------------