TSTP Solution File: LCL018-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 13:43:25 EDT 2022
% Result : Unsatisfiable 8.01s 8.30s
% Output : Refutation 8.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n008.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 20:09:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.01/8.30 ============================== Prover9 ===============================
% 8.01/8.30 Prover9 (32) version 2009-11A, November 2009.
% 8.01/8.30 Process 32115 was started by sandbox on n008.cluster.edu,
% 8.01/8.30 Sat Jul 2 20:09:23 2022
% 8.01/8.30 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_31962_n008.cluster.edu".
% 8.01/8.30 ============================== end of head ===========================
% 8.01/8.30
% 8.01/8.30 ============================== INPUT =================================
% 8.01/8.30
% 8.01/8.30 % Reading from file /tmp/Prover9_31962_n008.cluster.edu
% 8.01/8.30
% 8.01/8.30 set(prolog_style_variables).
% 8.01/8.30 set(auto2).
% 8.01/8.30 % set(auto2) -> set(auto).
% 8.01/8.30 % set(auto) -> set(auto_inference).
% 8.01/8.30 % set(auto) -> set(auto_setup).
% 8.01/8.30 % set(auto_setup) -> set(predicate_elim).
% 8.01/8.30 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.01/8.30 % set(auto) -> set(auto_limits).
% 8.01/8.30 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.01/8.30 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.01/8.30 % set(auto) -> set(auto_denials).
% 8.01/8.30 % set(auto) -> set(auto_process).
% 8.01/8.30 % set(auto2) -> assign(new_constants, 1).
% 8.01/8.30 % set(auto2) -> assign(fold_denial_max, 3).
% 8.01/8.30 % set(auto2) -> assign(max_weight, "200.000").
% 8.01/8.30 % set(auto2) -> assign(max_hours, 1).
% 8.01/8.30 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.01/8.30 % set(auto2) -> assign(max_seconds, 0).
% 8.01/8.30 % set(auto2) -> assign(max_minutes, 5).
% 8.01/8.30 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.01/8.30 % set(auto2) -> set(sort_initial_sos).
% 8.01/8.30 % set(auto2) -> assign(sos_limit, -1).
% 8.01/8.30 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.01/8.30 % set(auto2) -> assign(max_megs, 400).
% 8.01/8.30 % set(auto2) -> assign(stats, some).
% 8.01/8.30 % set(auto2) -> clear(echo_input).
% 8.01/8.30 % set(auto2) -> set(quiet).
% 8.01/8.30 % set(auto2) -> clear(print_initial_clauses).
% 8.01/8.30 % set(auto2) -> clear(print_given).
% 8.01/8.30 assign(lrs_ticks,-1).
% 8.01/8.30 assign(sos_limit,10000).
% 8.01/8.30 assign(order,kbo).
% 8.01/8.30 set(lex_order_vars).
% 8.01/8.30 clear(print_given).
% 8.01/8.30
% 8.01/8.30 % formulas(sos). % not echoed (3 formulas)
% 8.01/8.30
% 8.01/8.30 ============================== end of input ==========================
% 8.01/8.30
% 8.01/8.30 % From the command line: assign(max_seconds, 300).
% 8.01/8.30
% 8.01/8.30 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.01/8.30
% 8.01/8.30 % Formulas that are not ordinary clauses:
% 8.01/8.30
% 8.01/8.30 ============================== end of process non-clausal formulas ===
% 8.01/8.30
% 8.01/8.30 ============================== PROCESS INITIAL CLAUSES ===============
% 8.01/8.30
% 8.01/8.30 ============================== PREDICATE ELIMINATION =================
% 8.01/8.30
% 8.01/8.30 ============================== end predicate elimination =============
% 8.01/8.30
% 8.01/8.30 Auto_denials:
% 8.01/8.30 % copying label prove_pyo to answer in negative clause
% 8.01/8.30
% 8.01/8.30 Term ordering decisions:
% 8.01/8.30 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 8.01/8.30
% 8.01/8.30 ============================== end of process initial clauses ========
% 8.01/8.30
% 8.01/8.30 ============================== CLAUSES FOR SEARCH ====================
% 8.01/8.30
% 8.01/8.30 ============================== end of clauses for search =============
% 8.01/8.30
% 8.01/8.30 ============================== SEARCH ================================
% 8.01/8.30
% 8.01/8.30 % Starting search at 0.01 seconds.
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=60.000, iters=3378
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=56.000, iters=3371
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=52.000, iters=3346
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=48.000, iters=3483
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=44.000, iters=3334
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=40.000, iters=3372
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=36.000, iters=3346
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=32.000, iters=3398
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=28.000, iters=3366
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=5138, wt=92.000
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=5379, wt=84.000
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=5133, wt=80.000
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=5381, wt=76.000
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=10244, wt=20.000
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=10976, wt=16.000
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=24.000, iters=3349
% 8.01/8.30
% 8.01/8.30 Low Water (displace): id=33118, wt=12.000
% 8.01/8.30
% 8.01/8.30 Low Water (keep): wt=20.000, iters=3333
% 8.01/8.30
% 8.01/8.30 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 6.48 sec).
% 8.01/8.30
% 8.01/8.30 ============================== PROOF =================================
% 8.01/8.30 % SZS status Unsatisfiable
% 8.01/8.30 % SZS output start Refutation
% 8.01/8.30
% 8.01/8.30 % Proof 1 at 7.23 (+ 0.13) seconds: prove_pyo.
% 8.01/8.30 % Length of proof is 45.
% 8.01/8.30 % Level of proof is 23.
% 8.01/8.30 % Maximum clause weight is 28.000.
% 8.01/8.30 % Given clauses 652.
% 8.01/8.30
% 8.01/8.30 1 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),B),equivalent(C,A))) # label(pym) # label(axiom). [assumption].
% 8.01/8.30 2 -is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) # label(prove_pyo) # label(negated_conjecture) # answer(prove_pyo). [assumption].
% 8.01/8.30 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 8.01/8.30 4 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,B),A),C)))). [hyper(3,a,1,a,b,1,a)].
% 8.01/8.30 5 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,A),equivalent(C,equivalent(D,equivalent(equivalent(equivalent(E,D),C),E)))),B))). [hyper(3,a,4,a,b,4,a)].
% 8.01/8.30 6 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,A),equivalent(equivalent(equivalent(C,equivalent(D,E)),D),equivalent(E,C))),B))). [hyper(3,a,4,a,b,1,a)].
% 8.01/8.30 9 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(equivalent(D,C),B),D)))),equivalent(E,equivalent(F,equivalent(equivalent(equivalent(V6,F),E),V6)))),A)). [hyper(3,a,5,a,b,4,a)].
% 8.01/8.30 10 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),C),equivalent(D,B))),equivalent(E,equivalent(F,equivalent(equivalent(equivalent(V6,F),E),V6)))),A)). [hyper(3,a,5,a,b,1,a)].
% 8.01/8.30 25 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,B),A),C))),equivalent(D,equivalent(E,equivalent(equivalent(equivalent(F,E),D),F))))). [hyper(3,a,9,a,b,9,a)].
% 8.01/8.30 30 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),C),B)),equivalent(C,equivalent(D,equivalent(E,equivalent(equivalent(equivalent(F,E),D),F)))))). [hyper(3,a,1,a,b,9,a)].
% 8.01/8.30 31 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),C),B)),equivalent(equivalent(D,equivalent(E,equivalent(equivalent(equivalent(F,E),D),F))),C))). [hyper(3,a,9,a,b,1,a)].
% 8.01/8.30 43 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(equivalent(D,C),B),D)))),E),A),E)). [hyper(3,a,1,a,b,25,a)].
% 8.01/8.30 56 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),B),equivalent(C,A)),equivalent(D,equivalent(E,equivalent(equivalent(equivalent(F,E),D),F))))). [hyper(3,a,30,a,b,6,a)].
% 8.01/8.30 62 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,B),A),C))),equivalent(equivalent(equivalent(D,equivalent(E,F)),E),equivalent(F,D)))). [hyper(3,a,31,a,b,6,a)].
% 8.01/8.30 70 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(B,equivalent(D,A)),D))),C)). [hyper(3,a,10,a,b,56,a)].
% 8.01/8.30 71 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),C),B)),equivalent(D,C)),D)). [hyper(3,a,9,a,b,56,a)].
% 8.01/8.30 78 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,equivalent(equivalent(equivalent(D,C),B),D))),equivalent(E,A)),E))). [hyper(3,a,43,a,b,70,a)].
% 8.01/8.30 145 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(equivalent(equivalent(D,C),E),D)),equivalent(A,E)))),B)). [hyper(3,a,70,a,b,62,a)].
% 8.01/8.30 158 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,B),A),C))),equivalent(equivalent(equivalent(D,equivalent(equivalent(equivalent(E,D),F),E)),equivalent(V6,F)),V6))). [hyper(3,a,145,a,b,78,a)].
% 8.01/8.30 1214 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(C,B),D),C)),equivalent(E,D)),E)),F),A),F)). [hyper(3,a,1,a,b,158,a)].
% 8.01/8.30 1280 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),A),equivalent(B,C))). [hyper(3,a,1214,a,b,71,a)].
% 8.01/8.30 1287 is_a_theorem(equivalent(A,A)). [hyper(3,a,1280,a,b,1280,a)].
% 8.01/8.30 1319 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,C),A),B),C))). [hyper(3,a,1,a,b,1280,a)].
% 8.01/8.30 1389 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,C)),A),B)). [hyper(3,a,1319,a,b,1287,a)].
% 8.01/8.30 1934 is_a_theorem(equivalent(equivalent(equivalent(A,B),B),A)). [hyper(3,a,1389,a,b,71,a)].
% 8.01/8.30 1961 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,1,a,b,1934,a)].
% 8.01/8.30 1963 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)). [hyper(3,a,1934,a,b,1280,a)].
% 8.01/8.30 2152 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,A)),C))). [hyper(3,a,1963,a,b,70,a)].
% 8.01/8.30 3711 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),A),equivalent(C,B))). [hyper(3,a,71,a,b,2152,a)].
% 8.01/8.30 3732 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,B)),C)). [hyper(3,a,2152,a,b,1961,a)].
% 8.01/8.30 3733 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(A,C),C))),B)). [hyper(3,a,2152,a,b,1934,a)].
% 8.01/8.30 7572 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,A),B),C))). [hyper(3,a,3711,a,b,71,a)].
% 8.01/8.30 7577 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),A),C),B)). [hyper(3,a,3711,a,b,56,a)].
% 8.01/8.30 8259 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,3732,a,b,2152,a)].
% 8.01/8.30 8283 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(B,A))),C)). [hyper(3,a,2152,a,b,8259,a)].
% 8.01/8.30 14868 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(C,A)),B))). [hyper(3,a,1,a,b,7577,a)].
% 8.01/8.30 47084 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(B,A)))). [hyper(3,a,8283,a,b,14868,a)].
% 8.01/8.30 47087 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(B,C)),A),C)). [hyper(3,a,8259,a,b,14868,a)].
% 8.01/8.30 47142 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),C),equivalent(C,A))). [hyper(3,a,3733,a,b,14868,a)].
% 8.01/8.30 62207 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,A),C),equivalent(C,B)))). [hyper(3,a,1,a,b,47087,a)].
% 8.01/8.30 63232 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),A),B)). [hyper(3,a,47142,a,b,7572,a)].
% 8.01/8.30 66476 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(A,B)))). [hyper(3,a,70,a,b,62207,a)].
% 8.01/8.30 67482 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(A,C)),C)))). [hyper(3,a,47084,a,b,63232,a)].
% 8.01/8.30 75647 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(B,A))). [hyper(3,a,66476,a,b,67482,a)].
% 8.01/8.30 75648 $F # answer(prove_pyo). [resolve(75647,a,2,a)].
% 8.01/8.30
% 8.01/8.30 % SZS output end Refutation
% 8.01/8.30 ============================== end of proof ==========================
% 8.01/8.30
% 8.01/8.30 ============================== STATISTICS ============================
% 8.01/8.30
% 8.01/8.30 Given=652. Generated=237570. Kept=75647. proofs=1.
% 8.01/8.30 Usable=652. Sos=9999. Demods=0. Limbo=5, Disabled=64993. Hints=0.
% 8.01/8.30 Megabytes=38.84.
% 8.01/8.30 User_CPU=7.23, System_CPU=0.13, Wall_clock=8.
% 8.01/8.30
% 8.01/8.30 ============================== end of statistics =====================
% 8.01/8.30
% 8.01/8.30 ============================== end of search =========================
% 8.01/8.30
% 8.01/8.30 THEOREM PROVED
% 8.01/8.30 % SZS status Unsatisfiable
% 8.01/8.30
% 8.01/8.30 Exiting with 1 proof.
% 8.01/8.30
% 8.01/8.30 Process 32115 exit (max_proofs) Sat Jul 2 20:09:31 2022
% 8.01/8.30 Prover9 interrupted
%------------------------------------------------------------------------------