TSTP Solution File: LCL122-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL122-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 13:44:12 EDT 2022
% Result : Unsatisfiable 119.54s 119.84s
% Output : Refutation 119.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL122-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.02/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 4 05:44:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 119.54/119.83 ============================== Prover9 ===============================
% 119.54/119.83 Prover9 (32) version 2009-11A, November 2009.
% 119.54/119.83 Process 15710 was started by sandbox on n019.cluster.edu,
% 119.54/119.83 Mon Jul 4 05:44:39 2022
% 119.54/119.83 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15557_n019.cluster.edu".
% 119.54/119.83 ============================== end of head ===========================
% 119.54/119.83
% 119.54/119.83 ============================== INPUT =================================
% 119.54/119.83
% 119.54/119.83 % Reading from file /tmp/Prover9_15557_n019.cluster.edu
% 119.54/119.83
% 119.54/119.83 set(prolog_style_variables).
% 119.54/119.83 set(auto2).
% 119.54/119.83 % set(auto2) -> set(auto).
% 119.54/119.83 % set(auto) -> set(auto_inference).
% 119.54/119.83 % set(auto) -> set(auto_setup).
% 119.54/119.83 % set(auto_setup) -> set(predicate_elim).
% 119.54/119.83 % set(auto_setup) -> assign(eq_defs, unfold).
% 119.54/119.83 % set(auto) -> set(auto_limits).
% 119.54/119.83 % set(auto_limits) -> assign(max_weight, "100.000").
% 119.54/119.83 % set(auto_limits) -> assign(sos_limit, 20000).
% 119.54/119.83 % set(auto) -> set(auto_denials).
% 119.54/119.83 % set(auto) -> set(auto_process).
% 119.54/119.83 % set(auto2) -> assign(new_constants, 1).
% 119.54/119.83 % set(auto2) -> assign(fold_denial_max, 3).
% 119.54/119.83 % set(auto2) -> assign(max_weight, "200.000").
% 119.54/119.83 % set(auto2) -> assign(max_hours, 1).
% 119.54/119.83 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 119.54/119.83 % set(auto2) -> assign(max_seconds, 0).
% 119.54/119.83 % set(auto2) -> assign(max_minutes, 5).
% 119.54/119.83 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 119.54/119.83 % set(auto2) -> set(sort_initial_sos).
% 119.54/119.83 % set(auto2) -> assign(sos_limit, -1).
% 119.54/119.83 % set(auto2) -> assign(lrs_ticks, 3000).
% 119.54/119.83 % set(auto2) -> assign(max_megs, 400).
% 119.54/119.83 % set(auto2) -> assign(stats, some).
% 119.54/119.83 % set(auto2) -> clear(echo_input).
% 119.54/119.83 % set(auto2) -> set(quiet).
% 119.54/119.83 % set(auto2) -> clear(print_initial_clauses).
% 119.54/119.83 % set(auto2) -> clear(print_given).
% 119.54/119.83 assign(lrs_ticks,-1).
% 119.54/119.83 assign(sos_limit,10000).
% 119.54/119.83 assign(order,kbo).
% 119.54/119.83 set(lex_order_vars).
% 119.54/119.83 clear(print_given).
% 119.54/119.83
% 119.54/119.83 % formulas(sos). % not echoed (3 formulas)
% 119.54/119.83
% 119.54/119.83 ============================== end of input ==========================
% 119.54/119.83
% 119.54/119.83 % From the command line: assign(max_seconds, 300).
% 119.54/119.83
% 119.54/119.83 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 119.54/119.83
% 119.54/119.83 % Formulas that are not ordinary clauses:
% 119.54/119.83
% 119.54/119.83 ============================== end of process non-clausal formulas ===
% 119.54/119.83
% 119.54/119.83 ============================== PROCESS INITIAL CLAUSES ===============
% 119.54/119.83
% 119.54/119.83 ============================== PREDICATE ELIMINATION =================
% 119.54/119.83
% 119.54/119.83 ============================== end predicate elimination =============
% 119.54/119.83
% 119.54/119.83 Auto_denials:
% 119.54/119.83 % copying label prove_lg_3 to answer in negative clause
% 119.54/119.83
% 119.54/119.83 Term ordering decisions:
% 119.54/119.83 Function symbol KB weights: a=1. b=1. c=1. e=1. f=1. equivalent=1.
% 119.54/119.83
% 119.54/119.83 ============================== end of process initial clauses ========
% 119.54/119.83
% 119.54/119.83 ============================== CLAUSES FOR SEARCH ====================
% 119.54/119.83
% 119.54/119.83 ============================== end of clauses for search =============
% 119.54/119.83
% 119.54/119.83 ============================== SEARCH ================================
% 119.54/119.83
% 119.54/119.83 % Starting search at 0.01 seconds.
% 119.54/119.83
% 119.54/119.83 Low Water (keep): wt=44.000, iters=3355
% 119.54/119.83
% 119.54/119.83 Low Water (keep): wt=40.000, iters=3334
% 119.54/119.83
% 119.54/119.83 Low Water (keep): wt=36.000, iters=3429
% 119.54/119.83
% 119.54/119.83 Low Water (keep): wt=32.000, iters=3351
% 119.54/119.84
% 119.54/119.84 Low Water (keep): wt=28.000, iters=3347
% 119.54/119.84
% 119.54/119.84 Low Water (keep): wt=24.000, iters=3335
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=5575, wt=76.000
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=5577, wt=68.000
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=5455, wt=64.000
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=5572, wt=60.000
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=5588, wt=56.000
% 119.54/119.84
% 119.54/119.84 Low Water (displace): id=10531, wt=20.000
% 119.54/119.84
% 119.54/119.84 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 988 (0.00 of 2.06 sec).
% 119.54/119.84
% 119.54/119.84 ============================== PROOF =================================
% 119.54/119.84 % SZS status Unsatisfiable
% 119.54/119.84 % SZS output start Refutation
% 119.54/119.84
% 119.54/119.84 % Proof 1 at 105.69 (+ 13.18) seconds: prove_lg_3.
% 119.54/119.84 % Length of proof is 32.
% 119.54/119.84 % Level of proof is 19.
% 119.54/119.84 % Maximum clause weight is 28.000.
% 119.54/119.84 % Given clauses 6838.
% 119.54/119.84
% 119.54/119.84 1 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))))) # label(lg_2) # label(axiom). [assumption].
% 119.54/119.84 2 -is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,e)),equivalent(b,equivalent(equivalent(c,f),equivalent(e,f))))))) # label(prove_lg_3) # label(negated_conjecture) # answer(prove_lg_3). [assumption].
% 119.54/119.84 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 119.54/119.84 4 is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D))))),equivalent(equivalent(E,F),equivalent(equivalent(E,V6),equivalent(F,V6))))). [hyper(3,a,1,a,b,1,a)].
% 119.54/119.84 6 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C)))). [hyper(3,a,4,a,b,1,a)].
% 119.54/119.84 7 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(equivalent(A,D),equivalent(B,D)),C))). [hyper(3,a,6,a,b,6,a)].
% 119.54/119.84 10 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(equivalent(C,D),equivalent(equivalent(C,E),equivalent(D,E)))),B))). [hyper(3,a,6,a,b,1,a)].
% 119.54/119.84 14 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(C,D)))). [hyper(3,a,7,a,b,6,a)].
% 119.54/119.84 17 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,B),C))). [hyper(3,a,14,a,b,14,a)].
% 119.54/119.84 21 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,C))),E),equivalent(equivalent(A,equivalent(B,D)),E))). [hyper(3,a,14,a,b,4,a)].
% 119.54/119.84 22 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(D,C)),equivalent(equivalent(A,B),D))). [hyper(3,a,7,a,b,17,a)].
% 119.54/119.84 30 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))). [hyper(3,a,22,a,b,17,a)].
% 119.54/119.84 31 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,C))),equivalent(A,equivalent(B,D)))). [hyper(3,a,22,a,b,4,a)].
% 119.54/119.84 32 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))). [hyper(3,a,7,a,b,30,a)].
% 119.54/119.84 35 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),D),equivalent(equivalent(A,C),D))). [hyper(3,a,6,a,b,32,a)].
% 119.54/119.84 37 is_a_theorem(equivalent(A,A)). [hyper(3,a,32,a,b,30,a)].
% 119.54/119.84 41 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,D),equivalent(B,D))),equivalent(A,C))). [hyper(3,a,31,a,b,31,a)].
% 119.54/119.84 44 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(B,D))),equivalent(equivalent(A,D),C))). [hyper(3,a,31,a,b,7,a)].
% 119.54/119.84 49 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(D,C)),equivalent(A,D))). [hyper(3,a,31,a,b,35,a)].
% 119.54/119.84 53 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(A,equivalent(D,C)),equivalent(B,D)))). [hyper(3,a,35,a,b,31,a)].
% 119.54/119.84 102 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,49,a,b,31,a)].
% 119.54/119.84 113 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))),A)). [hyper(3,a,10,a,b,37,a)].
% 119.54/119.84 127 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(C,C)),B))). [hyper(3,a,14,a,b,102,a)].
% 119.54/119.84 216 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)). [hyper(3,a,127,a,b,37,a)].
% 119.54/119.84 236 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,C),B)),A)). [hyper(3,a,41,a,b,216,a)].
% 119.54/119.84 801 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(D,equivalent(B,E))),equivalent(equivalent(A,equivalent(E,C)),D))). [hyper(3,a,53,a,b,53,a)].
% 119.54/119.84 1376 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),A)). [hyper(3,a,21,a,b,236,a)].
% 119.54/119.84 1425 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),D)),equivalent(C,B)),D),A)). [hyper(3,a,44,a,b,1376,a)].
% 119.54/119.84 9118 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),D)),equivalent(C,B)),D),E),equivalent(A,E))). [hyper(3,a,6,a,b,1425,a)].
% 119.54/119.84 12189 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),D)),equivalent(D,equivalent(equivalent(B,E),equivalent(C,E)))),A)). [hyper(3,a,801,a,b,113,a)].
% 119.54/119.84 15228 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,equivalent(C,D)),equivalent(B,equivalent(equivalent(C,E),equivalent(D,E))))))). [hyper(3,a,9118,a,b,12189,a)].
% 119.54/119.84 15229 $F # answer(prove_lg_3). [resolve(15228,a,2,a)].
% 119.54/119.84
% 119.54/119.84 % SZS output end Refutation
% 119.54/119.84 ============================== end of proof ==========================
% 119.54/119.84
% 119.54/119.84 ============================== STATISTICS ============================
% 119.54/119.84
% 119.54/119.84 Given=6838. Generated=27374155. Kept=15228. proofs=1.
% 119.54/119.84 Usable=6835. Sos=6781. Demods=0. Limbo=0, Disabled=1614. Hints=0.
% 119.54/119.84 Megabytes=12.67.
% 119.54/119.84 User_CPU=105.69, System_CPU=13.18, Wall_clock=119.
% 119.54/119.84
% 119.54/119.84 ============================== end of statistics =====================
% 119.54/119.84
% 119.54/119.84 ============================== end of search =========================
% 119.54/119.84
% 119.54/119.84 THEOREM PROVED
% 119.54/119.84 % SZS status Unsatisfiable
% 119.54/119.84
% 119.54/119.84 Exiting with 1 proof.
% 119.54/119.84
% 119.54/119.84 Process 15710 exit (max_proofs) Mon Jul 4 05:46:38 2022
% 119.54/119.84 Prover9 interrupted
%------------------------------------------------------------------------------