TSTP Solution File: LCL040-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL040-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 13:43:34 EDT 2022
% Result : Unsatisfiable 5.39s 5.68s
% Output : Refutation 5.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL040-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.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 : Sat Jul 2 17:41:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.39/5.68 ============================== Prover9 ===============================
% 5.39/5.68 Prover9 (32) version 2009-11A, November 2009.
% 5.39/5.68 Process 20923 was started by sandbox on n018.cluster.edu,
% 5.39/5.68 Sat Jul 2 17:41:34 2022
% 5.39/5.68 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20770_n018.cluster.edu".
% 5.39/5.68 ============================== end of head ===========================
% 5.39/5.68
% 5.39/5.68 ============================== INPUT =================================
% 5.39/5.68
% 5.39/5.68 % Reading from file /tmp/Prover9_20770_n018.cluster.edu
% 5.39/5.68
% 5.39/5.68 set(prolog_style_variables).
% 5.39/5.68 set(auto2).
% 5.39/5.68 % set(auto2) -> set(auto).
% 5.39/5.68 % set(auto) -> set(auto_inference).
% 5.39/5.68 % set(auto) -> set(auto_setup).
% 5.39/5.68 % set(auto_setup) -> set(predicate_elim).
% 5.39/5.68 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.39/5.68 % set(auto) -> set(auto_limits).
% 5.39/5.68 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.39/5.68 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.39/5.68 % set(auto) -> set(auto_denials).
% 5.39/5.68 % set(auto) -> set(auto_process).
% 5.39/5.68 % set(auto2) -> assign(new_constants, 1).
% 5.39/5.68 % set(auto2) -> assign(fold_denial_max, 3).
% 5.39/5.68 % set(auto2) -> assign(max_weight, "200.000").
% 5.39/5.68 % set(auto2) -> assign(max_hours, 1).
% 5.39/5.68 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.39/5.68 % set(auto2) -> assign(max_seconds, 0).
% 5.39/5.68 % set(auto2) -> assign(max_minutes, 5).
% 5.39/5.68 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.39/5.68 % set(auto2) -> set(sort_initial_sos).
% 5.39/5.68 % set(auto2) -> assign(sos_limit, -1).
% 5.39/5.68 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.39/5.68 % set(auto2) -> assign(max_megs, 400).
% 5.39/5.68 % set(auto2) -> assign(stats, some).
% 5.39/5.68 % set(auto2) -> clear(echo_input).
% 5.39/5.68 % set(auto2) -> set(quiet).
% 5.39/5.68 % set(auto2) -> clear(print_initial_clauses).
% 5.39/5.68 % set(auto2) -> clear(print_given).
% 5.39/5.68 assign(lrs_ticks,-1).
% 5.39/5.68 assign(sos_limit,10000).
% 5.39/5.68 assign(order,kbo).
% 5.39/5.68 set(lex_order_vars).
% 5.39/5.68 clear(print_given).
% 5.39/5.68
% 5.39/5.68 % formulas(sos). % not echoed (7 formulas)
% 5.39/5.68
% 5.39/5.68 ============================== end of input ==========================
% 5.39/5.68
% 5.39/5.68 % From the command line: assign(max_seconds, 300).
% 5.39/5.68
% 5.39/5.68 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.39/5.68
% 5.39/5.68 % Formulas that are not ordinary clauses:
% 5.39/5.68
% 5.39/5.68 ============================== end of process non-clausal formulas ===
% 5.39/5.68
% 5.39/5.68 ============================== PROCESS INITIAL CLAUSES ===============
% 5.39/5.68
% 5.39/5.68 ============================== PREDICATE ELIMINATION =================
% 5.39/5.68
% 5.39/5.68 ============================== end predicate elimination =============
% 5.39/5.68
% 5.39/5.68 Auto_denials:
% 5.39/5.68 % copying label prove_cn_21 to answer in negative clause
% 5.39/5.68
% 5.39/5.68 Term ordering decisions:
% 5.39/5.68
% 5.39/5.68 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 5.39/5.68 Function symbol KB weights: a=1. b=1. c=1. implies=1. not=0.
% 5.39/5.68
% 5.39/5.68 ============================== end of process initial clauses ========
% 5.39/5.68
% 5.39/5.68 ============================== CLAUSES FOR SEARCH ====================
% 5.39/5.68
% 5.39/5.68 ============================== end of clauses for search =============
% 5.39/5.68
% 5.39/5.68 ============================== SEARCH ================================
% 5.39/5.68
% 5.39/5.68 % Starting search at 0.01 seconds.
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=28.000, iters=3353
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=24.000, iters=3380
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=22.000, iters=3358
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=20.000, iters=3340
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=18.000, iters=3341
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=17.000, iters=3340
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=16.000, iters=3420
% 5.39/5.68
% 5.39/5.68 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 39 (0.00 of 0.59 sec).
% 5.39/5.68
% 5.39/5.68 Low Water (displace): id=10933, wt=15.000
% 5.39/5.68
% 5.39/5.68 Low Water (displace): id=11004, wt=13.000
% 5.39/5.68
% 5.39/5.68 Low Water (displace): id=14524, wt=12.000
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=15.000, iters=3343
% 5.39/5.68
% 5.39/5.68 Low Water (keep): wt=14.000, iters=3378
% 5.39/5.68
% 5.39/5.68 ============================== PROOF =================================
% 5.39/5.68 % SZS status Unsatisfiable
% 5.39/5.68 % SZS output start Refutation
% 5.39/5.68
% 5.39/5.68 % Proof 1 at 4.08 (+ 0.63) seconds: prove_cn_21.
% 5.39/5.68 % Length of proof is 29.
% 5.39/5.68 % Level of proof is 8.
% 5.39/5.68 % Maximum clause weight is 24.000.
% 5.39/5.68 % Given clauses 1907.
% 5.39/5.68
% 5.39/5.68 1 is_a_theorem(implies(A,implies(B,A))) # label(cn_18) # label(axiom). [assumption].
% 5.39/5.68 2 is_a_theorem(implies(not(not(A)),A)) # label(cn_39) # label(axiom). [assumption].
% 5.39/5.68 3 is_a_theorem(implies(A,not(not(A)))) # label(cn_40) # label(axiom). [assumption].
% 5.39/5.68 5 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) # label(cn_35) # label(axiom). [assumption].
% 5.39/5.68 6 -is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) # label(prove_cn_21) # label(negated_conjecture) # answer(prove_cn_21). [assumption].
% 5.39/5.68 7 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 5.39/5.68 8 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))). [hyper(7,a,5,a,b,5,a)].
% 5.39/5.68 20 is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))). [hyper(7,a,1,a,b,5,a)].
% 5.39/5.68 22 is_a_theorem(implies(A,implies(B,not(not(B))))). [hyper(7,a,1,a,b,3,a)].
% 5.39/5.68 23 is_a_theorem(implies(A,implies(not(not(B)),B))). [hyper(7,a,1,a,b,2,a)].
% 5.39/5.68 24 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(7,a,1,a,b,1,a)].
% 5.39/5.68 67 is_a_theorem(implies(A,implies(B,implies(C,not(not(C)))))). [hyper(7,a,1,a,b,22,a)].
% 5.39/5.68 73 is_a_theorem(implies(A,implies(B,implies(not(not(C)),C)))). [hyper(7,a,1,a,b,23,a)].
% 5.39/5.68 75 is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))). [hyper(7,a,8,a,b,24,a)].
% 5.39/5.68 76 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))). [hyper(7,a,5,a,b,24,a)].
% 5.39/5.68 79 is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))). [hyper(7,a,1,a,b,24,a)].
% 5.39/5.68 167 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))). [hyper(7,a,8,a,b,20,a)].
% 5.39/5.68 256 is_a_theorem(implies(implies(A,implies(implies(B,not(not(B))),C)),implies(A,C))). [hyper(7,a,8,a,b,67,a)].
% 5.39/5.68 346 is_a_theorem(implies(implies(A,implies(implies(not(not(B)),B),C)),implies(A,C))). [hyper(7,a,8,a,b,73,a)].
% 5.39/5.68 517 is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))). [hyper(7,a,8,a,b,79,a)].
% 5.39/5.68 2115 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))). [hyper(7,a,75,a,b,20,a)].
% 5.39/5.68 9425 is_a_theorem(implies(implies(not(not(A)),B),implies(A,B))). [hyper(7,a,256,a,b,2115,a)].
% 5.39/5.68 9481 is_a_theorem(implies(implies(not(not(A)),B),implies(C,implies(A,B)))). [hyper(7,a,76,a,b,9425,a)].
% 5.39/5.68 11647 is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))). [hyper(7,a,346,a,b,2115,a)].
% 5.39/5.68 17465 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(7,a,517,a,b,2115,a)].
% 5.39/5.68 17468 is_a_theorem(implies(not(not(implies(implies(A,B),C))),implies(B,C))). [hyper(7,a,11647,a,b,17465,a)].
% 5.39/5.68 18868 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(7,a,9481,a,b,17468,a)].
% 5.39/5.68 19127 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(7,a,167,a,b,18868,a)].
% 5.39/5.68 19128 $F # answer(prove_cn_21). [resolve(19127,a,6,a)].
% 5.39/5.68
% 5.39/5.68 % SZS output end Refutation
% 5.39/5.68 ============================== end of proof ==========================
% 5.39/5.68
% 5.39/5.68 ============================== STATISTICS ============================
% 5.39/5.68
% 5.39/5.68 Given=1907. Generated=1325176. Kept=19127. proofs=1.
% 5.39/5.68 Usable=1890. Sos=9906. Demods=0. Limbo=0, Disabled=7337. Hints=0.
% 5.39/5.68 Megabytes=12.39.
% 5.39/5.68 User_CPU=4.08, System_CPU=0.63, Wall_clock=5.
% 5.39/5.68
% 5.39/5.68 ============================== end of statistics =====================
% 5.39/5.68
% 5.39/5.68 ============================== end of search =========================
% 5.39/5.68
% 5.39/5.68 THEOREM PROVED
% 5.39/5.68 % SZS status Unsatisfiable
% 5.39/5.68
% 5.39/5.68 Exiting with 1 proof.
% 5.39/5.68
% 5.39/5.68 Process 20923 exit (max_proofs) Sat Jul 2 17:41:39 2022
% 5.39/5.68 Prover9 interrupted
%------------------------------------------------------------------------------