TSTP Solution File: LCL019-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 13:43:26 EDT 2022
% Result : Unsatisfiable 7.97s 8.25s
% Output : Refutation 7.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n023.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 : Sun Jul 3 11:20:43 EDT 2022
% 0.11/0.33 % CPUTime :
% 7.97/8.25 ============================== Prover9 ===============================
% 7.97/8.25 Prover9 (32) version 2009-11A, November 2009.
% 7.97/8.25 Process 7473 was started by sandbox on n023.cluster.edu,
% 7.97/8.25 Sun Jul 3 11:20:43 2022
% 7.97/8.25 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7319_n023.cluster.edu".
% 7.97/8.25 ============================== end of head ===========================
% 7.97/8.25
% 7.97/8.25 ============================== INPUT =================================
% 7.97/8.25
% 7.97/8.25 % Reading from file /tmp/Prover9_7319_n023.cluster.edu
% 7.97/8.25
% 7.97/8.25 set(prolog_style_variables).
% 7.97/8.25 set(auto2).
% 7.97/8.25 % set(auto2) -> set(auto).
% 7.97/8.25 % set(auto) -> set(auto_inference).
% 7.97/8.25 % set(auto) -> set(auto_setup).
% 7.97/8.25 % set(auto_setup) -> set(predicate_elim).
% 7.97/8.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 7.97/8.25 % set(auto) -> set(auto_limits).
% 7.97/8.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 7.97/8.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 7.97/8.25 % set(auto) -> set(auto_denials).
% 7.97/8.25 % set(auto) -> set(auto_process).
% 7.97/8.25 % set(auto2) -> assign(new_constants, 1).
% 7.97/8.25 % set(auto2) -> assign(fold_denial_max, 3).
% 7.97/8.25 % set(auto2) -> assign(max_weight, "200.000").
% 7.97/8.25 % set(auto2) -> assign(max_hours, 1).
% 7.97/8.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.97/8.25 % set(auto2) -> assign(max_seconds, 0).
% 7.97/8.25 % set(auto2) -> assign(max_minutes, 5).
% 7.97/8.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.97/8.25 % set(auto2) -> set(sort_initial_sos).
% 7.97/8.25 % set(auto2) -> assign(sos_limit, -1).
% 7.97/8.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 7.97/8.25 % set(auto2) -> assign(max_megs, 400).
% 7.97/8.25 % set(auto2) -> assign(stats, some).
% 7.97/8.25 % set(auto2) -> clear(echo_input).
% 7.97/8.25 % set(auto2) -> set(quiet).
% 7.97/8.25 % set(auto2) -> clear(print_initial_clauses).
% 7.97/8.25 % set(auto2) -> clear(print_given).
% 7.97/8.25 assign(lrs_ticks,-1).
% 7.97/8.25 assign(sos_limit,10000).
% 7.97/8.25 assign(order,kbo).
% 7.97/8.25 set(lex_order_vars).
% 7.97/8.25 clear(print_given).
% 7.97/8.25
% 7.97/8.25 % formulas(sos). % not echoed (3 formulas)
% 7.97/8.25
% 7.97/8.25 ============================== end of input ==========================
% 7.97/8.25
% 7.97/8.25 % From the command line: assign(max_seconds, 300).
% 7.97/8.25
% 7.97/8.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.97/8.25
% 7.97/8.25 % Formulas that are not ordinary clauses:
% 7.97/8.25
% 7.97/8.25 ============================== end of process non-clausal formulas ===
% 7.97/8.25
% 7.97/8.25 ============================== PROCESS INITIAL CLAUSES ===============
% 7.97/8.25
% 7.97/8.25 ============================== PREDICATE ELIMINATION =================
% 7.97/8.25
% 7.97/8.25 ============================== end predicate elimination =============
% 7.97/8.25
% 7.97/8.25 Auto_denials:
% 7.97/8.25 % copying label prove_pym to answer in negative clause
% 7.97/8.25
% 7.97/8.25 Term ordering decisions:
% 7.97/8.25 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 7.97/8.25
% 7.97/8.25 ============================== end of process initial clauses ========
% 7.97/8.25
% 7.97/8.25 ============================== CLAUSES FOR SEARCH ====================
% 7.97/8.25
% 7.97/8.25 ============================== end of clauses for search =============
% 7.97/8.25
% 7.97/8.25 ============================== SEARCH ================================
% 7.97/8.25
% 7.97/8.25 % Starting search at 0.01 seconds.
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=48.000, iters=3336
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=44.000, iters=3410
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=40.000, iters=3401
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=36.000, iters=3369
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=32.000, iters=3428
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=28.000, iters=3346
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=24.000, iters=3394
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=1700, wt=76.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=5133, wt=68.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=5563, wt=64.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=5127, wt=60.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=5557, wt=56.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=5558, wt=52.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=10401, wt=20.000
% 7.97/8.25
% 7.97/8.25 Low Water (displace): id=10563, wt=16.000
% 7.97/8.25
% 7.97/8.25 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 2.05 sec).
% 7.97/8.25
% 7.97/8.25 Low Water (keep): wt=20.000, iters=3365
% 7.97/8.25
% 7.97/8.25 ============================== PROOF =================================
% 7.97/8.25 % SZS status Unsatisfiable
% 7.97/8.25 % SZS output start Refutation
% 7.97/8.25
% 7.97/8.25 % Proof 1 at 6.63 (+ 0.65) seconds: prove_pym.
% 7.97/8.25 % Length of proof is 46.
% 7.97/8.25 % Level of proof is 25.
% 7.97/8.25 % Maximum clause weight is 28.000.
% 7.97/8.25 % Given clauses 1583.
% 7.97/8.25
% 7.97/8.25 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B)))) # label(xgk) # label(axiom). [assumption].
% 7.97/8.25 2 -is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),b),equivalent(c,a))) # label(prove_pym) # label(negated_conjecture) # answer(prove_pym). [assumption].
% 7.97/8.25 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 7.97/8.25 4 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(E,D))))),equivalent(B,A))). [hyper(3,a,1,a,b,1,a)].
% 7.97/8.25 7 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(C,D)),D)). [hyper(3,a,4,a,b,1,a)].
% 7.97/8.25 8 is_a_theorem(equivalent(A,A)). [hyper(3,a,7,a,b,7,a)].
% 7.97/8.25 9 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(C,B)),equivalent(D,equivalent(A,equivalent(E,equivalent(equivalent(F,equivalent(V6,E)),equivalent(V6,F)))))))). [hyper(3,a,4,a,b,7,a)].
% 7.97/8.25 13 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(B,A))). [hyper(3,a,1,a,b,8,a)].
% 7.97/8.25 17 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,E))),equivalent(D,C)))),equivalent(B,A))). [hyper(3,a,1,a,b,13,a)].
% 7.97/8.25 18 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,13,a,b,8,a)].
% 7.97/8.25 21 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,13,a,b,1,a)].
% 7.97/8.25 41 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),B),equivalent(C,C))). [hyper(3,a,18,a,b,21,a)].
% 7.97/8.25 42 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(A,equivalent(C,C)))))). [hyper(3,a,13,a,b,21,a)].
% 7.97/8.25 45 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,D)),D))),equivalent(B,A))). [hyper(3,a,1,a,b,21,a)].
% 7.97/8.25 93 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,equivalent(C,D)),D),equivalent(E,E)))),equivalent(B,A))). [hyper(3,a,1,a,b,41,a)].
% 7.97/8.25 101 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,4,a,b,42,a)].
% 7.97/8.25 135 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(equivalent(equivalent(D,equivalent(E,F)),equivalent(E,D)),equivalent(F,C)))). [hyper(3,a,4,a,b,9,a)].
% 7.97/8.25 159 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(D,C))))),equivalent(B,A))). [hyper(3,a,1,a,b,101,a)].
% 7.97/8.25 741 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,equivalent(C,C))),D)),D)). [hyper(3,a,17,a,b,1,a)].
% 7.97/8.25 796 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(A,equivalent(equivalent(C,equivalent(C,D)),D)))))). [hyper(3,a,45,a,b,21,a)].
% 7.97/8.25 2102 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),equivalent(B,C)),C)). [hyper(3,a,159,a,b,1,a)].
% 7.97/8.25 9314 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,B)),A)))). [hyper(3,a,4,a,b,796,a)].
% 7.97/8.25 9372 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B)))). [hyper(3,a,2102,a,b,9314,a)].
% 7.97/8.25 9590 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,equivalent(C,C))),B)). [hyper(3,a,741,a,b,9372,a)].
% 7.97/8.25 9634 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(D,equivalent(D,equivalent(B,A))))). [hyper(3,a,17,a,b,9372,a)].
% 7.97/8.25 11843 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,9590,a,b,135,a)].
% 7.97/8.25 11965 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(C,D))))),equivalent(B,A))). [hyper(3,a,1,a,b,11843,a)].
% 7.97/8.25 13026 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),equivalent(B,equivalent(C,C))))). [hyper(3,a,159,a,b,9634,a)].
% 7.97/8.25 13081 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(A,B)),B),C),C)). [hyper(3,a,93,a,b,13026,a)].
% 7.97/8.25 15044 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(A,equivalent(C,equivalent(D,equivalent(C,D)))))))). [hyper(3,a,13081,a,b,11965,a)].
% 7.97/8.25 15071 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)). [hyper(3,a,11965,a,b,11843,a)].
% 7.97/8.25 15105 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(C,equivalent(A,C)))))). [hyper(3,a,11965,a,b,9372,a)].
% 7.97/8.25 16191 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(C,C))),A)). [hyper(3,a,17,a,b,15105,a)].
% 7.97/8.25 17693 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,C)),C))). [hyper(3,a,16191,a,b,135,a)].
% 7.97/8.25 17712 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(equivalent(B,A),D)),D)). [hyper(3,a,17693,a,b,17693,a)].
% 7.97/8.25 17927 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,B)),equivalent(C,A)))). [hyper(3,a,4,a,b,15044,a)].
% 7.97/8.25 18122 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(B,C)),C))). [hyper(3,a,17712,a,b,17927,a)].
% 7.97/8.25 18136 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(B,A))). [hyper(3,a,17712,a,b,11843,a)].
% 7.97/8.25 18380 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,15071,a,b,18122,a)].
% 7.97/8.25 18441 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(B,C)),C),A)). [hyper(3,a,18380,a,b,18122,a)].
% 7.97/8.25 19161 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(C,equivalent(A,B))))). [hyper(3,a,18136,a,b,18441,a)].
% 7.97/8.25 20715 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(C,A))),C)). [hyper(3,a,18380,a,b,19161,a)].
% 7.97/8.25 20762 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(A,C)))). [hyper(3,a,4,a,b,19161,a)].
% 7.97/8.25 23140 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,A),B))). [hyper(3,a,20762,a,b,20715,a)].
% 7.97/8.25 26511 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),B),equivalent(C,A))). [hyper(3,a,23140,a,b,19161,a)].
% 7.97/8.25 26512 $F # answer(prove_pym). [resolve(26511,a,2,a)].
% 7.97/8.25
% 7.97/8.25 % SZS output end Refutation
% 7.97/8.25 ============================== end of proof ==========================
% 7.97/8.25
% 7.97/8.25 ============================== STATISTICS ============================
% 7.97/8.25
% 7.97/8.25 Given=1583. Generated=1350178. Kept=26511. proofs=1.
% 7.97/8.25 Usable=1583. Sos=9999. Demods=0. Limbo=88, Disabled=14843. Hints=0.
% 7.97/8.25 Megabytes=16.67.
% 7.97/8.25 User_CPU=6.63, System_CPU=0.65, Wall_clock=8.
% 7.97/8.25
% 7.97/8.25 ============================== end of statistics =====================
% 7.97/8.25
% 7.97/8.25 ============================== end of search =========================
% 7.97/8.25
% 7.97/8.25 THEOREM PROVED
% 7.97/8.25 % SZS status Unsatisfiable
% 7.97/8.25
% 7.97/8.25 Exiting with 1 proof.
% 7.97/8.25
% 7.97/8.25 Process 7473 exit (max_proofs) Sun Jul 3 11:20:51 2022
% 7.97/8.25 Prover9 interrupted
%------------------------------------------------------------------------------