TSTP Solution File: LCL064-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL064-1 : 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 13:43:44 EDT 2022
% Result : Unsatisfiable 3.10s 3.41s
% Output : Refutation 3.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL064-1 : 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 07:25:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.10/3.41 ============================== Prover9 ===============================
% 3.10/3.41 Prover9 (32) version 2009-11A, November 2009.
% 3.10/3.41 Process 13376 was started by sandbox on n013.cluster.edu,
% 3.10/3.41 Mon Jul 4 07:25:30 2022
% 3.10/3.41 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13216_n013.cluster.edu".
% 3.10/3.41 ============================== end of head ===========================
% 3.10/3.41
% 3.10/3.41 ============================== INPUT =================================
% 3.10/3.41
% 3.10/3.41 % Reading from file /tmp/Prover9_13216_n013.cluster.edu
% 3.10/3.41
% 3.10/3.41 set(prolog_style_variables).
% 3.10/3.41 set(auto2).
% 3.10/3.41 % set(auto2) -> set(auto).
% 3.10/3.41 % set(auto) -> set(auto_inference).
% 3.10/3.41 % set(auto) -> set(auto_setup).
% 3.10/3.41 % set(auto_setup) -> set(predicate_elim).
% 3.10/3.41 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.10/3.41 % set(auto) -> set(auto_limits).
% 3.10/3.41 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.10/3.41 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.10/3.41 % set(auto) -> set(auto_denials).
% 3.10/3.41 % set(auto) -> set(auto_process).
% 3.10/3.41 % set(auto2) -> assign(new_constants, 1).
% 3.10/3.41 % set(auto2) -> assign(fold_denial_max, 3).
% 3.10/3.41 % set(auto2) -> assign(max_weight, "200.000").
% 3.10/3.41 % set(auto2) -> assign(max_hours, 1).
% 3.10/3.41 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.10/3.41 % set(auto2) -> assign(max_seconds, 0).
% 3.10/3.41 % set(auto2) -> assign(max_minutes, 5).
% 3.10/3.41 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.10/3.41 % set(auto2) -> set(sort_initial_sos).
% 3.10/3.41 % set(auto2) -> assign(sos_limit, -1).
% 3.10/3.41 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.10/3.41 % set(auto2) -> assign(max_megs, 400).
% 3.10/3.41 % set(auto2) -> assign(stats, some).
% 3.10/3.41 % set(auto2) -> clear(echo_input).
% 3.10/3.41 % set(auto2) -> set(quiet).
% 3.10/3.41 % set(auto2) -> clear(print_initial_clauses).
% 3.10/3.41 % set(auto2) -> clear(print_given).
% 3.10/3.41 assign(lrs_ticks,-1).
% 3.10/3.41 assign(sos_limit,10000).
% 3.10/3.41 assign(order,kbo).
% 3.10/3.41 set(lex_order_vars).
% 3.10/3.41 clear(print_given).
% 3.10/3.41
% 3.10/3.41 % formulas(sos). % not echoed (5 formulas)
% 3.10/3.41
% 3.10/3.41 ============================== end of input ==========================
% 3.10/3.41
% 3.10/3.41 % From the command line: assign(max_seconds, 300).
% 3.10/3.41
% 3.10/3.41 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.10/3.41
% 3.10/3.41 % Formulas that are not ordinary clauses:
% 3.10/3.41
% 3.10/3.41 ============================== end of process non-clausal formulas ===
% 3.10/3.41
% 3.10/3.41 ============================== PROCESS INITIAL CLAUSES ===============
% 3.10/3.41
% 3.10/3.41 ============================== PREDICATE ELIMINATION =================
% 3.10/3.41
% 3.10/3.41 ============================== end predicate elimination =============
% 3.10/3.41
% 3.10/3.41 Auto_denials:
% 3.10/3.41 % copying label prove_cn_1 to answer in negative clause
% 3.10/3.41
% 3.10/3.41 Term ordering decisions:
% 3.10/3.41
% 3.10/3.41 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 3.10/3.41 Function symbol KB weights: a=1. b=1. c=1. implies=1. not=0.
% 3.10/3.41
% 3.10/3.41 ============================== end of process initial clauses ========
% 3.10/3.41
% 3.10/3.41 ============================== CLAUSES FOR SEARCH ====================
% 3.10/3.41
% 3.10/3.41 ============================== end of clauses for search =============
% 3.10/3.41
% 3.10/3.41 ============================== SEARCH ================================
% 3.10/3.41
% 3.10/3.41 % Starting search at 0.01 seconds.
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=31.000, iters=3338
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=30.000, iters=3392
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=28.000, iters=3377
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=24.000, iters=3360
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=22.000, iters=3461
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=21.000, iters=3358
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=20.000, iters=3426
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=18.000, iters=3450
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=17.000, iters=3368
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=16.000, iters=3392
% 3.10/3.41
% 3.10/3.41 Low Water (displace): id=1243, wt=48.000
% 3.10/3.41
% 3.10/3.41 Low Water (displace): id=10579, wt=14.000
% 3.10/3.41
% 3.10/3.41 Low Water (displace): id=10593, wt=13.000
% 3.10/3.41
% 3.10/3.41 Low Water (displace): id=10660, wt=12.000
% 3.10/3.41
% 3.10/3.41 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 122 (0.00 of 0.72 sec).
% 3.10/3.41
% 3.10/3.41 Low Water (keep): wt=15.000, iters=3334
% 3.10/3.41
% 3.10/3.41 ============================== PROOF =================================
% 3.10/3.41 % SZS status Unsatisfiable
% 3.10/3.41 % SZS output start Refutation
% 3.10/3.41
% 3.10/3.41 % Proof 1 at 2.13 (+ 0.28) seconds: prove_cn_1.
% 3.10/3.41 % Length of proof is 17.
% 3.10/3.41 % Level of proof is 8.
% 3.10/3.41 % Maximum clause weight is 24.000.
% 3.10/3.41 % Given clauses 1172.
% 3.10/3.41
% 3.10/3.41 1 is_a_theorem(implies(A,implies(B,A))) # label(cn_18) # label(axiom). [assumption].
% 3.10/3.41 3 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) # label(cn_35) # label(axiom). [assumption].
% 3.10/3.41 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].
% 3.10/3.41 5 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 3.10/3.41 6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))). [hyper(5,a,3,a,b,3,a)].
% 3.10/3.41 9 is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))). [hyper(5,a,1,a,b,3,a)].
% 3.10/3.41 11 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(5,a,1,a,b,1,a)].
% 3.10/3.41 21 is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))). [hyper(5,a,6,a,b,11,a)].
% 3.10/3.41 23 is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))). [hyper(5,a,1,a,b,11,a)].
% 3.10/3.41 56 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(5,a,6,a,b,9,a)].
% 3.10/3.41 60 is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))). [hyper(5,a,6,a,b,23,a)].
% 3.10/3.41 142 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))). [hyper(5,a,21,a,b,9,a)].
% 3.10/3.41 2901 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(5,a,60,a,b,142,a)].
% 3.10/3.41 5492 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(5,a,1,a,b,2901,a)].
% 3.10/3.41 12916 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(5,a,56,a,b,5492,a)].
% 3.10/3.41 15411 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(5,a,12916,a,b,142,a)].
% 3.10/3.41 15412 $F # answer(prove_cn_1). [resolve(15411,a,4,a)].
% 3.10/3.41
% 3.10/3.41 % SZS output end Refutation
% 3.10/3.41 ============================== end of proof ==========================
% 3.10/3.41
% 3.10/3.41 ============================== STATISTICS ============================
% 3.10/3.41
% 3.10/3.41 Given=1172. Generated=570665. Kept=15411. proofs=1.
% 3.10/3.41 Usable=1170. Sos=9998. Demods=0. Limbo=85, Disabled=4162. Hints=0.
% 3.10/3.41 Megabytes=10.84.
% 3.10/3.41 User_CPU=2.13, System_CPU=0.28, Wall_clock=2.
% 3.10/3.41
% 3.10/3.41 ============================== end of statistics =====================
% 3.10/3.41
% 3.10/3.41 ============================== end of search =========================
% 3.10/3.41
% 3.10/3.41 THEOREM PROVED
% 3.10/3.41 % SZS status Unsatisfiable
% 3.10/3.41
% 3.10/3.41 Exiting with 1 proof.
% 3.10/3.41
% 3.10/3.41 Process 13376 exit (max_proofs) Mon Jul 4 07:25:32 2022
% 3.10/3.41 Prover9 interrupted
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