TSTP Solution File: LCL015-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 13:43:24 EDT 2022
% Result : Unsatisfiable 4.52s 4.83s
% Output : Refutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 05:09:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.52/4.83 ============================== Prover9 ===============================
% 4.52/4.83 Prover9 (32) version 2009-11A, November 2009.
% 4.52/4.83 Process 12284 was started by sandbox on n012.cluster.edu,
% 4.52/4.83 Sun Jul 3 05:09:47 2022
% 4.52/4.83 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12131_n012.cluster.edu".
% 4.52/4.83 ============================== end of head ===========================
% 4.52/4.83
% 4.52/4.83 ============================== INPUT =================================
% 4.52/4.83
% 4.52/4.83 % Reading from file /tmp/Prover9_12131_n012.cluster.edu
% 4.52/4.83
% 4.52/4.83 set(prolog_style_variables).
% 4.52/4.83 set(auto2).
% 4.52/4.83 % set(auto2) -> set(auto).
% 4.52/4.83 % set(auto) -> set(auto_inference).
% 4.52/4.83 % set(auto) -> set(auto_setup).
% 4.52/4.83 % set(auto_setup) -> set(predicate_elim).
% 4.52/4.83 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.52/4.83 % set(auto) -> set(auto_limits).
% 4.52/4.83 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.52/4.83 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.52/4.83 % set(auto) -> set(auto_denials).
% 4.52/4.83 % set(auto) -> set(auto_process).
% 4.52/4.83 % set(auto2) -> assign(new_constants, 1).
% 4.52/4.83 % set(auto2) -> assign(fold_denial_max, 3).
% 4.52/4.83 % set(auto2) -> assign(max_weight, "200.000").
% 4.52/4.83 % set(auto2) -> assign(max_hours, 1).
% 4.52/4.83 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.52/4.83 % set(auto2) -> assign(max_seconds, 0).
% 4.52/4.83 % set(auto2) -> assign(max_minutes, 5).
% 4.52/4.83 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.52/4.83 % set(auto2) -> set(sort_initial_sos).
% 4.52/4.83 % set(auto2) -> assign(sos_limit, -1).
% 4.52/4.83 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.52/4.83 % set(auto2) -> assign(max_megs, 400).
% 4.52/4.83 % set(auto2) -> assign(stats, some).
% 4.52/4.83 % set(auto2) -> clear(echo_input).
% 4.52/4.83 % set(auto2) -> set(quiet).
% 4.52/4.83 % set(auto2) -> clear(print_initial_clauses).
% 4.52/4.83 % set(auto2) -> clear(print_given).
% 4.52/4.83 assign(lrs_ticks,-1).
% 4.52/4.83 assign(sos_limit,10000).
% 4.52/4.83 assign(order,kbo).
% 4.52/4.83 set(lex_order_vars).
% 4.52/4.83 clear(print_given).
% 4.52/4.83
% 4.52/4.83 % formulas(sos). % not echoed (3 formulas)
% 4.52/4.83
% 4.52/4.83 ============================== end of input ==========================
% 4.52/4.83
% 4.52/4.83 % From the command line: assign(max_seconds, 300).
% 4.52/4.83
% 4.52/4.83 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.52/4.83
% 4.52/4.83 % Formulas that are not ordinary clauses:
% 4.52/4.83
% 4.52/4.83 ============================== end of process non-clausal formulas ===
% 4.52/4.83
% 4.52/4.83 ============================== PROCESS INITIAL CLAUSES ===============
% 4.52/4.83
% 4.52/4.83 ============================== PREDICATE ELIMINATION =================
% 4.52/4.83
% 4.52/4.83 ============================== end predicate elimination =============
% 4.52/4.83
% 4.52/4.83 Auto_denials:
% 4.52/4.83 % copying label prove_wn to answer in negative clause
% 4.52/4.83
% 4.52/4.83 Term ordering decisions:
% 4.52/4.83 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 4.52/4.83
% 4.52/4.83 ============================== end of process initial clauses ========
% 4.52/4.83
% 4.52/4.83 ============================== CLAUSES FOR SEARCH ====================
% 4.52/4.83
% 4.52/4.83 ============================== end of clauses for search =============
% 4.52/4.83
% 4.52/4.83 ============================== SEARCH ================================
% 4.52/4.83
% 4.52/4.83 % Starting search at 0.01 seconds.
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=52.000, iters=3336
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=48.000, iters=3348
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=44.000, iters=3408
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=40.000, iters=3357
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=36.000, iters=3393
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=32.000, iters=3337
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=28.000, iters=3361
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=24.000, iters=3366
% 4.52/4.83
% 4.52/4.83 Low Water (keep): wt=20.000, iters=3338
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=5159, wt=72.000
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=5160, wt=68.000
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=5182, wt=64.000
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=5185, wt=60.000
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=10355, wt=16.000
% 4.52/4.83
% 4.52/4.83 Low Water (displace): id=10523, wt=12.000
% 4.52/4.83
% 4.52/4.83 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 2.36 sec).
% 4.52/4.83
% 4.52/4.83 ============================== PROOF =================================
% 4.52/4.83 % SZS status Unsatisfiable
% 4.52/4.83 % SZS output start Refutation
% 4.52/4.83
% 4.52/4.83 % Proof 1 at 3.65 (+ 0.21) seconds: prove_wn.
% 4.52/4.83 % Length of proof is 51.
% 4.52/4.83 % Level of proof is 25.
% 4.52/4.83 % Maximum clause weight is 28.000.
% 4.52/4.83 % Given clauses 827.
% 4.52/4.83
% 4.52/4.83 1 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(B,C),A)))) # label(yrm) # label(axiom). [assumption].
% 4.52/4.83 2 -is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))) # label(prove_wn) # label(negated_conjecture) # answer(prove_wn). [assumption].
% 4.52/4.83 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 4.52/4.83 4 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(equivalent(C,B),D)),A),equivalent(D,C)))). [hyper(3,a,1,a,b,1,a)].
% 4.52/4.83 5 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),equivalent(D,equivalent(equivalent(equivalent(E,equivalent(equivalent(F,E),V6)),D),equivalent(V6,F)))),equivalent(C,B))). [hyper(3,a,4,a,b,4,a)].
% 4.52/4.83 7 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),equivalent(equivalent(D,E),equivalent(F,equivalent(equivalent(E,F),D)))),equivalent(C,B))). [hyper(3,a,4,a,b,1,a)].
% 4.52/4.83 13 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(C,equivalent(equivalent(D,C),E)),B),equivalent(E,D))),A),F)),F)). [hyper(3,a,7,a,b,7,a)].
% 4.52/4.83 30 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(equivalent(C,equivalent(equivalent(D,C),E)),B),equivalent(E,D))),equivalent(F,A))),F)). [hyper(3,a,13,a,b,1,a)].
% 4.52/4.83 39 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(C,A))),C),B)). [hyper(3,a,5,a,b,1,a)].
% 4.52/4.83 42 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),equivalent(equivalent(equivalent(D,equivalent(E,equivalent(F,D))),F),E)),equivalent(C,B))). [hyper(3,a,4,a,b,39,a)].
% 4.52/4.83 43 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),equivalent(equivalent(C,equivalent(B,equivalent(D,C))),D)))). [hyper(3,a,1,a,b,39,a)].
% 4.52/4.83 49 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,equivalent(D,B))),D),C)),equivalent(equivalent(E,equivalent(A,equivalent(F,E))),F))). [hyper(3,a,43,a,b,39,a)].
% 4.52/4.83 114 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,equivalent(equivalent(C,D),B))),equivalent(E,A))),E)). [hyper(3,a,39,a,b,42,a)].
% 4.52/4.83 136 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(D,equivalent(equivalent(C,D),B)),A)))). [hyper(3,a,114,a,b,43,a)].
% 4.52/4.83 211 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(C,equivalent(D,B))),D),C),equivalent(E,A))),E)). [hyper(3,a,39,a,b,49,a)].
% 4.52/4.83 239 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,equivalent(D,B))),D),equivalent(C,A)))). [hyper(3,a,211,a,b,43,a)].
% 4.52/4.83 246 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),B),C)). [hyper(3,a,13,a,b,239,a)].
% 4.52/4.83 248 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(B,A)))),C)). [hyper(3,a,7,a,b,239,a)].
% 4.52/4.83 300 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))). [hyper(3,a,246,a,b,248,a)].
% 4.52/4.83 325 is_a_theorem(equivalent(equivalent(equivalent(A,B),B),A)). [hyper(3,a,42,a,b,300,a)].
% 4.52/4.83 326 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),equivalent(C,B))). [hyper(3,a,30,a,b,300,a)].
% 4.52/4.83 368 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,325,a,b,246,a)].
% 4.52/4.83 398 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),B)),C),C)). [hyper(3,a,300,a,b,368,a)].
% 4.52/4.83 408 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,C),B),A),C))). [hyper(3,a,1,a,b,368,a)].
% 4.52/4.83 410 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),C),B)),A)). [hyper(3,a,368,a,b,325,a)].
% 4.52/4.83 732 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(A,equivalent(B,C))))). [hyper(3,a,326,a,b,239,a)].
% 4.52/4.83 1133 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)). [hyper(3,a,410,a,b,4,a)].
% 4.52/4.83 1157 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),D),equivalent(C,B)),D)). [hyper(3,a,5,a,b,1133,a)].
% 4.52/4.83 1160 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)). [hyper(3,a,1133,a,b,408,a)].
% 4.52/4.83 4595 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,B),C),A)))). [hyper(3,a,398,a,b,732,a)].
% 4.52/4.83 4601 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(A,B)))),C)). [hyper(3,a,326,a,b,732,a)].
% 4.52/4.83 4619 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),B),equivalent(C,A)))). [hyper(3,a,732,a,b,1160,a)].
% 4.52/4.83 9568 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,326,a,b,4619,a)].
% 4.52/4.83 9610 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))). [hyper(3,a,732,a,b,9568,a)].
% 4.52/4.83 9635 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),A),equivalent(C,B)))). [hyper(3,a,1,a,b,9568,a)].
% 4.52/4.83 9639 is_a_theorem(equivalent(A,equivalent(B,equivalent(C,equivalent(A,equivalent(B,C)))))). [hyper(3,a,9568,a,b,4601,a)].
% 4.52/4.83 9641 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),B),C)),C)). [hyper(3,a,9568,a,b,4595,a)].
% 4.52/4.83 10063 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)). [hyper(3,a,9568,a,b,9610,a)].
% 4.52/4.83 10129 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,A)),C)). [hyper(3,a,9568,a,b,9635,a)].
% 4.52/4.83 10217 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,B),A))),C)). [hyper(3,a,326,a,b,9639,a)].
% 4.52/4.83 10256 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,A),equivalent(B,C))),C)). [hyper(3,a,9641,a,b,136,a)].
% 4.52/4.83 10957 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),equivalent(B,C))). [hyper(3,a,10063,a,b,136,a)].
% 4.52/4.83 11532 is_a_theorem(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(A,C),B))))). [hyper(3,a,9568,a,b,10217,a)].
% 4.52/4.83 11875 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(C,B)))). [hyper(3,a,10129,a,b,10256,a)].
% 4.52/4.83 13557 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,B),equivalent(A,C))))). [hyper(3,a,10957,a,b,11532,a)].
% 4.52/4.83 13910 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,B),A))). [hyper(3,a,11875,a,b,11875,a)].
% 4.52/4.83 14142 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(A,C)),equivalent(C,B)))). [hyper(3,a,10957,a,b,13557,a)].
% 4.52/4.83 16304 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(C,A))),C)). [hyper(3,a,13910,a,b,14142,a)].
% 4.52/4.83 35260 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(C,A),B))). [hyper(3,a,1157,a,b,16304,a)].
% 4.52/4.83 35597 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(A,B)))). [hyper(3,a,35260,a,b,16304,a)].
% 4.52/4.83 35598 $F # answer(prove_wn). [resolve(35597,a,2,a)].
% 4.52/4.83
% 4.52/4.83 % SZS output end Refutation
% 4.52/4.83 ============================== end of proof ==========================
% 4.52/4.83
% 4.52/4.83 ============================== STATISTICS ============================
% 4.52/4.83
% 4.52/4.83 Given=827. Generated=408185. Kept=35597. proofs=1.
% 4.52/4.83 Usable=827. Sos=9999. Demods=0. Limbo=90, Disabled=24683. Hints=0.
% 4.52/4.83 Megabytes=19.45.
% 4.52/4.83 User_CPU=3.65, System_CPU=0.21, Wall_clock=4.
% 4.52/4.83
% 4.52/4.83 ============================== end of statistics =====================
% 4.52/4.83
% 4.52/4.83 ============================== end of search =========================
% 4.52/4.83
% 4.52/4.83 THEOREM PROVED
% 4.52/4.83 % SZS status Unsatisfiable
% 4.52/4.83
% 4.52/4.83 Exiting with 1 proof.
% 4.52/4.83
% 4.52/4.83 Process 12284 exit (max_proofs) Sun Jul 3 05:09:51 2022
% 4.52/4.83 Prover9 interrupted
%------------------------------------------------------------------------------