TSTP Solution File: LCL045-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL045-1 : 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 13:43:36 EDT 2022
% Result : Unsatisfiable 3.22s 3.53s
% Output : Refutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL045-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 13:31:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.42/1.73 ============================== Prover9 ===============================
% 1.42/1.73 Prover9 (32) version 2009-11A, November 2009.
% 1.42/1.73 Process 13909 was started by sandbox on n008.cluster.edu,
% 1.42/1.73 Sun Jul 3 13:31:24 2022
% 1.42/1.73 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13549_n008.cluster.edu".
% 1.42/1.73 ============================== end of head ===========================
% 1.42/1.73
% 1.42/1.73 ============================== INPUT =================================
% 1.42/1.73
% 1.42/1.73 % Reading from file /tmp/Prover9_13549_n008.cluster.edu
% 1.42/1.73
% 1.42/1.73 set(prolog_style_variables).
% 1.42/1.73 set(auto2).
% 1.42/1.73 % set(auto2) -> set(auto).
% 1.42/1.73 % set(auto) -> set(auto_inference).
% 1.42/1.73 % set(auto) -> set(auto_setup).
% 1.42/1.73 % set(auto_setup) -> set(predicate_elim).
% 1.42/1.73 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.42/1.73 % set(auto) -> set(auto_limits).
% 1.42/1.73 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.42/1.73 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.42/1.73 % set(auto) -> set(auto_denials).
% 1.42/1.73 % set(auto) -> set(auto_process).
% 1.42/1.73 % set(auto2) -> assign(new_constants, 1).
% 1.42/1.73 % set(auto2) -> assign(fold_denial_max, 3).
% 1.42/1.73 % set(auto2) -> assign(max_weight, "200.000").
% 1.42/1.73 % set(auto2) -> assign(max_hours, 1).
% 1.42/1.73 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.42/1.73 % set(auto2) -> assign(max_seconds, 0).
% 1.42/1.73 % set(auto2) -> assign(max_minutes, 5).
% 1.42/1.73 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.42/1.73 % set(auto2) -> set(sort_initial_sos).
% 1.42/1.73 % set(auto2) -> assign(sos_limit, -1).
% 1.42/1.73 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.42/1.73 % set(auto2) -> assign(max_megs, 400).
% 1.42/1.73 % set(auto2) -> assign(stats, some).
% 1.42/1.73 % set(auto2) -> clear(echo_input).
% 1.42/1.73 % set(auto2) -> set(quiet).
% 1.42/1.73 % set(auto2) -> clear(print_initial_clauses).
% 1.42/1.73 % set(auto2) -> clear(print_given).
% 1.42/1.73 assign(lrs_ticks,-1).
% 1.42/1.73 assign(sos_limit,10000).
% 1.42/1.73 assign(order,kbo).
% 1.42/1.73 set(lex_order_vars).
% 1.42/1.73 clear(print_given).
% 1.42/1.73
% 1.42/1.73 % formulas(sos). % not echoed (7 formulas)
% 1.42/1.73
% 1.42/1.73 ============================== end of input ==========================
% 1.42/1.73
% 1.42/1.73 % From the command line: assign(max_seconds, 300).
% 1.42/1.73
% 1.42/1.73 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.42/1.73
% 1.42/1.73 % Formulas that are not ordinary clauses:
% 1.42/1.73
% 1.42/1.73 ============================== end of process non-clausal formulas ===
% 1.42/1.73
% 1.42/1.73 ============================== PROCESS INITIAL CLAUSES ===============
% 1.42/1.73
% 1.42/1.73 ============================== PREDICATE ELIMINATION =================
% 1.42/1.73
% 1.42/1.73 ============================== end predicate elimination =============
% 1.42/1.73
% 1.42/1.73 Auto_denials:
% 1.42/1.73 % copying label prove_cn_46 to answer in negative clause
% 1.42/1.73
% 1.42/1.73 Term ordering decisions:
% 1.42/1.73
% 1.42/1.73 % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 1.42/1.73 Function symbol KB weights: a=1. b=1. implies=1. not=0.
% 1.42/1.73
% 1.42/1.73 ============================== end of process initial clauses ========
% 1.42/1.73
% 1.42/1.73 ============================== CLAUSES FOR SEARCH ====================
% 1.42/1.73
% 1.42/1.73 ============================== end of clauses for search =============
% 1.42/1.73
% 1.42/1.73 ============================== SEARCH ================================
% 1.42/1.73
% 1.42/1.73 % Starting search at 0.01 seconds.
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=35.000, iters=3408
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=29.000, iters=3356
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=28.000, iters=3341
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=27.000, iters=3387
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=24.000, iters=3338
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=23.000, iters=3358
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=22.000, iters=3439
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=21.000, iters=3391
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=20.000, iters=3401
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=19.000, iters=3361
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=18.000, iters=3358
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=17.000, iters=3335
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=16.000, iters=3355
% 1.42/1.73
% 1.42/1.73 Low Water (keep): wt=15.000, iters=3340
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5582, wt=61.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4049, wt=58.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4957, wt=57.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5599, wt=49.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5585, wt=47.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4066, wt=46.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5598, wt=45.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4052, wt=44.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5580, wt=43.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4065, wt=42.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5565, wt=41.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=4047, wt=40.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5608, wt=39.000
% 1.42/1.73
% 1.42/1.73 Low Water (displace): id=5141, wt=38.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=5606, wt=37.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=4075, wt=36.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=5593, wt=35.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=4073, wt=34.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=5588, wt=33.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=4732, wt=32.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=5610, wt=31.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=5411, wt=30.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=10620, wt=14.000
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=10648, wt=13.000
% 3.22/3.53
% 3.22/3.53 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 118 (0.00 of 0.83 sec).
% 3.22/3.53
% 3.22/3.53 Low Water (displace): id=12498, wt=12.000
% 3.22/3.53
% 3.22/3.53 ============================== PROOF =================================
% 3.22/3.53 % SZS status Unsatisfiable
% 3.22/3.53 % SZS output start Refutation
% 3.22/3.53
% 3.22/3.53 % Proof 1 at 2.24 (+ 0.26) seconds: prove_cn_46.
% 3.22/3.53 % Length of proof is 14.
% 3.22/3.53 % Level of proof is 4.
% 3.22/3.53 % Maximum clause weight is 15.000.
% 3.22/3.53 % Given clauses 1158.
% 3.22/3.53
% 3.22/3.53 1 is_a_theorem(implies(A,implies(B,A))) # label(cn_18) # label(axiom). [assumption].
% 3.22/3.53 2 is_a_theorem(implies(A,implies(not(A),B))) # label(cn_3) # label(axiom). [assumption].
% 3.22/3.53 3 is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))) # label(cn_54) # label(axiom). [assumption].
% 3.22/3.53 4 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))) # label(cn_21) # label(axiom). [assumption].
% 3.22/3.53 5 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))) # label(cn_22) # label(axiom). [assumption].
% 3.22/3.53 6 -is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) # label(prove_cn_46) # label(negated_conjecture) # answer(prove_cn_46). [assumption].
% 3.22/3.53 7 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 3.22/3.53 11 is_a_theorem(implies(implies(A,B),implies(A,implies(not(B),C)))). [hyper(7,a,5,a,b,2,a)].
% 3.22/3.53 13 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(7,a,4,a,b,5,a)].
% 3.22/3.53 15 is_a_theorem(implies(implies(not(A),B),implies(implies(A,B),B))). [hyper(7,a,4,a,b,3,a)].
% 3.22/3.53 349 is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(implies(A,B),D))). [hyper(7,a,13,a,b,11,a)].
% 3.22/3.53 510 is_a_theorem(implies(implies(A,implies(B,not(A))),implies(B,not(A)))). [hyper(7,a,15,a,b,1,a)].
% 3.22/3.53 15626 is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))). [hyper(7,a,349,a,b,510,a)].
% 3.22/3.53 15627 $F # answer(prove_cn_46). [resolve(15626,a,6,a)].
% 3.22/3.53
% 3.22/3.53 % SZS output end Refutation
% 3.22/3.53 ============================== end of proof ==========================
% 3.22/3.53
% 3.22/3.53 ============================== STATISTICS ============================
% 3.22/3.53
% 3.22/3.53 Given=1158. Generated=602201. Kept=15626. proofs=1.
% 3.22/3.53 Usable=1157. Sos=9998. Demods=0. Limbo=6, Disabled=4471. Hints=0.
% 3.22/3.53 Megabytes=10.37.
% 3.22/3.53 User_CPU=2.24, System_CPU=0.26, Wall_clock=2.
% 3.22/3.53
% 3.22/3.53 ============================== end of statistics =====================
% 3.22/3.53
% 3.22/3.53 ============================== end of search =========================
% 3.22/3.53
% 3.22/3.53 THEOREM PROVED
% 3.22/3.53 % SZS status Unsatisfiable
% 3.22/3.53
% 3.22/3.53 Exiting with 1 proof.
% 3.22/3.53
% 3.22/3.53 Process 13909 exit (max_proofs) Sun Jul 3 13:31:26 2022
% 3.22/3.53 Prover9 interrupted
%------------------------------------------------------------------------------