TSTP Solution File: LCL128-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 13:44:15 EDT 2022
% Result : Unsatisfiable 2.62s 2.88s
% Output : Refutation 2.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 05:53:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.62/2.88 ============================== Prover9 ===============================
% 2.62/2.88 Prover9 (32) version 2009-11A, November 2009.
% 2.62/2.88 Process 16622 was started by sandbox2 on n007.cluster.edu,
% 2.62/2.88 Mon Jul 4 05:53:42 2022
% 2.62/2.88 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16449_n007.cluster.edu".
% 2.62/2.88 ============================== end of head ===========================
% 2.62/2.88
% 2.62/2.88 ============================== INPUT =================================
% 2.62/2.88
% 2.62/2.88 % Reading from file /tmp/Prover9_16449_n007.cluster.edu
% 2.62/2.88
% 2.62/2.88 set(prolog_style_variables).
% 2.62/2.88 set(auto2).
% 2.62/2.88 % set(auto2) -> set(auto).
% 2.62/2.88 % set(auto) -> set(auto_inference).
% 2.62/2.88 % set(auto) -> set(auto_setup).
% 2.62/2.88 % set(auto_setup) -> set(predicate_elim).
% 2.62/2.88 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.62/2.88 % set(auto) -> set(auto_limits).
% 2.62/2.88 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.62/2.88 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.62/2.88 % set(auto) -> set(auto_denials).
% 2.62/2.88 % set(auto) -> set(auto_process).
% 2.62/2.88 % set(auto2) -> assign(new_constants, 1).
% 2.62/2.88 % set(auto2) -> assign(fold_denial_max, 3).
% 2.62/2.88 % set(auto2) -> assign(max_weight, "200.000").
% 2.62/2.88 % set(auto2) -> assign(max_hours, 1).
% 2.62/2.88 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.62/2.88 % set(auto2) -> assign(max_seconds, 0).
% 2.62/2.88 % set(auto2) -> assign(max_minutes, 5).
% 2.62/2.88 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.62/2.88 % set(auto2) -> set(sort_initial_sos).
% 2.62/2.88 % set(auto2) -> assign(sos_limit, -1).
% 2.62/2.88 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.62/2.88 % set(auto2) -> assign(max_megs, 400).
% 2.62/2.88 % set(auto2) -> assign(stats, some).
% 2.62/2.88 % set(auto2) -> clear(echo_input).
% 2.62/2.88 % set(auto2) -> set(quiet).
% 2.62/2.88 % set(auto2) -> clear(print_initial_clauses).
% 2.62/2.88 % set(auto2) -> clear(print_given).
% 2.62/2.88 assign(lrs_ticks,-1).
% 2.62/2.88 assign(sos_limit,10000).
% 2.62/2.88 assign(order,kbo).
% 2.62/2.88 set(lex_order_vars).
% 2.62/2.88 clear(print_given).
% 2.62/2.88
% 2.62/2.88 % formulas(sos). % not echoed (3 formulas)
% 2.62/2.88
% 2.62/2.88 ============================== end of input ==========================
% 2.62/2.88
% 2.62/2.88 % From the command line: assign(max_seconds, 300).
% 2.62/2.88
% 2.62/2.88 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.62/2.88
% 2.62/2.88 % Formulas that are not ordinary clauses:
% 2.62/2.88
% 2.62/2.88 ============================== end of process non-clausal formulas ===
% 2.62/2.88
% 2.62/2.88 ============================== PROCESS INITIAL CLAUSES ===============
% 2.62/2.88
% 2.62/2.88 ============================== PREDICATE ELIMINATION =================
% 2.62/2.88
% 2.62/2.88 ============================== end predicate elimination =============
% 2.62/2.88
% 2.62/2.88 Auto_denials:
% 2.62/2.88 % copying label prove_lg_2 to answer in negative clause
% 2.62/2.88
% 2.62/2.88 Term ordering decisions:
% 2.62/2.88 Function symbol KB weights: a=1. b=1. c=1. e=1. equivalent=1.
% 2.62/2.88
% 2.62/2.88 ============================== end of process initial clauses ========
% 2.62/2.88
% 2.62/2.88 ============================== CLAUSES FOR SEARCH ====================
% 2.62/2.88
% 2.62/2.88 ============================== end of clauses for search =============
% 2.62/2.88
% 2.62/2.88 ============================== SEARCH ================================
% 2.62/2.88
% 2.62/2.88 % Starting search at 0.01 seconds.
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=68.000, iters=3403
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=60.000, iters=3356
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=56.000, iters=3401
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=48.000, iters=3406
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=44.000, iters=3398
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=40.000, iters=3335
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=36.000, iters=3343
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=32.000, iters=3373
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=28.000, iters=3375
% 2.62/2.88
% 2.62/2.88 Low Water (keep): wt=24.000, iters=3348
% 2.62/2.88
% 2.62/2.88 ============================== PROOF =================================
% 2.62/2.88 % SZS status Unsatisfiable
% 2.62/2.88 % SZS output start Refutation
% 2.62/2.88
% 2.62/2.88 % Proof 1 at 1.86 (+ 0.04) seconds: prove_lg_2.
% 2.62/2.88 % Length of proof is 28.
% 2.62/2.88 % Level of proof is 20.
% 2.62/2.88 % Maximum clause weight is 28.000.
% 2.62/2.88 % Given clauses 353.
% 2.62/2.88
% 2.62/2.88 1 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D))))) # label(s_3) # label(axiom). [assumption].
% 2.62/2.88 2 -is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) # label(prove_lg_2) # label(negated_conjecture) # answer(prove_lg_2). [assumption].
% 2.62/2.88 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 2.62/2.88 4 is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D)))),equivalent(equivalent(equivalent(E,F),equivalent(V6,F)),equivalent(E,V6)))). [hyper(3,a,1,a,b,1,a)].
% 2.62/2.88 6 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))). [hyper(3,a,4,a,b,1,a)].
% 2.62/2.88 7 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C)),equivalent(equivalent(equivalent(D,E),equivalent(F,E)),equivalent(D,F)))). [hyper(3,a,1,a,b,6,a)].
% 2.62/2.88 24 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(C,D)))). [hyper(3,a,6,a,b,7,a)].
% 2.62/2.88 33 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))). [hyper(3,a,6,a,b,24,a)].
% 2.62/2.88 39 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(equivalent(equivalent(C,D),equivalent(E,D)),equivalent(C,E))),B))). [hyper(3,a,24,a,b,1,a)].
% 2.62/2.88 42 is_a_theorem(equivalent(A,A)). [hyper(3,a,6,a,b,33,a)].
% 2.62/2.88 46 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D)))). [hyper(3,a,1,a,b,42,a)].
% 2.62/2.88 50 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C)))). [hyper(3,a,6,a,b,46,a)].
% 2.62/2.88 67 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),D),equivalent(equivalent(A,C),D))). [hyper(3,a,50,a,b,6,a)].
% 2.62/2.88 83 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,D),equivalent(C,equivalent(D,B))))). [hyper(3,a,67,a,b,67,a)].
% 2.62/2.88 251 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D))),A)). [hyper(3,a,39,a,b,42,a)].
% 2.62/2.88 264 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,C))),equivalent(A,equivalent(B,D)))). [hyper(3,a,67,a,b,251,a)].
% 2.62/2.88 272 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(B,D),equivalent(C,D))))). [hyper(3,a,251,a,b,39,a)].
% 2.62/2.88 273 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,D),equivalent(B,D))),equivalent(A,C))). [hyper(3,a,264,a,b,264,a)].
% 2.62/2.88 314 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(D,B)),equivalent(A,equivalent(D,C)))). [hyper(3,a,264,a,b,272,a)].
% 2.62/2.88 348 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)). [hyper(3,a,273,a,b,272,a)].
% 2.62/2.88 357 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(B,equivalent(C,C))))). [hyper(3,a,83,a,b,348,a)].
% 2.62/2.88 448 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,357,a,b,42,a)].
% 2.62/2.88 471 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(C,C)),B))). [hyper(3,a,50,a,b,448,a)].
% 2.62/2.88 880 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(A,B))). [hyper(3,a,264,a,b,471,a)].
% 2.62/2.88 1627 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),A)). [hyper(3,a,880,a,b,314,a)].
% 2.62/2.88 1682 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(A,equivalent(D,equivalent(C,B))))). [hyper(3,a,83,a,b,1627,a)].
% 2.62/2.88 9833 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))))). [hyper(3,a,1682,a,b,251,a)].
% 2.62/2.88 9834 $F # answer(prove_lg_2). [resolve(9833,a,2,a)].
% 2.62/2.88
% 2.62/2.88 % SZS output end Refutation
% 2.62/2.88 ============================== end of proof ==========================
% 2.62/2.88
% 2.62/2.88 ============================== STATISTICS ============================
% 2.62/2.88
% 2.62/2.88 Given=353. Generated=75493. Kept=9833. proofs=1.
% 2.62/2.88 Usable=352. Sos=9434. Demods=0. Limbo=37, Disabled=12. Hints=0.
% 2.62/2.88 Megabytes=9.90.
% 2.62/2.88 User_CPU=1.86, System_CPU=0.04, Wall_clock=2.
% 2.62/2.88
% 2.62/2.88 ============================== end of statistics =====================
% 2.62/2.88
% 2.62/2.88 ============================== end of search =========================
% 2.62/2.88
% 2.62/2.88 THEOREM PROVED
% 2.62/2.88 % SZS status Unsatisfiable
% 2.62/2.88
% 2.62/2.88 Exiting with 1 proof.
% 2.62/2.88
% 2.62/2.88 Process 16622 exit (max_proofs) Mon Jul 4 05:53:44 2022
% 2.62/2.88 Prover9 interrupted
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