TSTP Solution File: LCL093-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 13:43:57 EDT 2022
% Result : Unsatisfiable 1.96s 2.24s
% Output : Refutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.31 % Computer : n020.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jul 3 17:38:45 EDT 2022
% 0.11/0.31 % CPUTime :
% 1.96/2.24 ============================== Prover9 ===============================
% 1.96/2.24 Prover9 (32) version 2009-11A, November 2009.
% 1.96/2.24 Process 11639 was started by sandbox2 on n020.cluster.edu,
% 1.96/2.24 Sun Jul 3 17:38:45 2022
% 1.96/2.24 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11486_n020.cluster.edu".
% 1.96/2.24 ============================== end of head ===========================
% 1.96/2.24
% 1.96/2.24 ============================== INPUT =================================
% 1.96/2.24
% 1.96/2.24 % Reading from file /tmp/Prover9_11486_n020.cluster.edu
% 1.96/2.24
% 1.96/2.24 set(prolog_style_variables).
% 1.96/2.24 set(auto2).
% 1.96/2.24 % set(auto2) -> set(auto).
% 1.96/2.24 % set(auto) -> set(auto_inference).
% 1.96/2.24 % set(auto) -> set(auto_setup).
% 1.96/2.24 % set(auto_setup) -> set(predicate_elim).
% 1.96/2.24 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.96/2.24 % set(auto) -> set(auto_limits).
% 1.96/2.24 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.96/2.24 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.96/2.24 % set(auto) -> set(auto_denials).
% 1.96/2.24 % set(auto) -> set(auto_process).
% 1.96/2.24 % set(auto2) -> assign(new_constants, 1).
% 1.96/2.24 % set(auto2) -> assign(fold_denial_max, 3).
% 1.96/2.24 % set(auto2) -> assign(max_weight, "200.000").
% 1.96/2.24 % set(auto2) -> assign(max_hours, 1).
% 1.96/2.24 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.96/2.24 % set(auto2) -> assign(max_seconds, 0).
% 1.96/2.24 % set(auto2) -> assign(max_minutes, 5).
% 1.96/2.24 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.96/2.24 % set(auto2) -> set(sort_initial_sos).
% 1.96/2.24 % set(auto2) -> assign(sos_limit, -1).
% 1.96/2.24 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.96/2.24 % set(auto2) -> assign(max_megs, 400).
% 1.96/2.24 % set(auto2) -> assign(stats, some).
% 1.96/2.24 % set(auto2) -> clear(echo_input).
% 1.96/2.24 % set(auto2) -> set(quiet).
% 1.96/2.24 % set(auto2) -> clear(print_initial_clauses).
% 1.96/2.24 % set(auto2) -> clear(print_given).
% 1.96/2.24 assign(lrs_ticks,-1).
% 1.96/2.24 assign(sos_limit,10000).
% 1.96/2.24 assign(order,kbo).
% 1.96/2.24 set(lex_order_vars).
% 1.96/2.24 clear(print_given).
% 1.96/2.24
% 1.96/2.24 % formulas(sos). % not echoed (3 formulas)
% 1.96/2.24
% 1.96/2.24 ============================== end of input ==========================
% 1.96/2.24
% 1.96/2.24 % From the command line: assign(max_seconds, 300).
% 1.96/2.24
% 1.96/2.24 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.96/2.24
% 1.96/2.24 % Formulas that are not ordinary clauses:
% 1.96/2.24
% 1.96/2.24 ============================== end of process non-clausal formulas ===
% 1.96/2.24
% 1.96/2.24 ============================== PROCESS INITIAL CLAUSES ===============
% 1.96/2.24
% 1.96/2.24 ============================== PREDICATE ELIMINATION =================
% 1.96/2.24
% 1.96/2.24 ============================== end predicate elimination =============
% 1.96/2.24
% 1.96/2.24 Auto_denials:
% 1.96/2.24 % copying label prove_ic_4 to answer in negative clause
% 1.96/2.24
% 1.96/2.24 Term ordering decisions:
% 1.96/2.24 Function symbol KB weights: a=1. b=1. c=1. implies=1.
% 1.96/2.24
% 1.96/2.24 ============================== end of process initial clauses ========
% 1.96/2.24
% 1.96/2.24 ============================== CLAUSES FOR SEARCH ====================
% 1.96/2.24
% 1.96/2.24 ============================== end of clauses for search =============
% 1.96/2.24
% 1.96/2.24 ============================== SEARCH ================================
% 1.96/2.24
% 1.96/2.24 % Starting search at 0.01 seconds.
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=44.000, iters=3335
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=42.000, iters=3431
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=38.000, iters=3375
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=36.000, iters=3334
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=34.000, iters=3394
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=30.000, iters=3370
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=28.000, iters=3359
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=26.000, iters=3470
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=24.000, iters=3345
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=22.000, iters=3348
% 1.96/2.24
% 1.96/2.24 Low Water (keep): wt=20.000, iters=3356
% 1.96/2.24
% 1.96/2.24 Low Water (displace): id=1810, wt=70.000
% 1.96/2.24
% 1.96/2.24 Low Water (displace): id=3306, wt=68.000
% 1.96/2.24
% 1.96/2.24 Low Water (displace): id=10722, wt=18.000
% 1.96/2.24
% 1.96/2.24 Low Water (displace): id=10860, wt=16.000
% 1.96/2.24
% 1.96/2.24 Low Water (displace): id=10907, wt=14.000
% 1.96/2.24
% 1.96/2.24 ============================== PROOF =================================
% 1.96/2.24 % SZS status Unsatisfiable
% 1.96/2.24 % SZS output start Refutation
% 1.96/2.24
% 1.96/2.24 % Proof 1 at 1.16 (+ 0.07) seconds: prove_ic_4.
% 1.96/2.24 % Length of proof is 52.
% 1.96/2.24 % Level of proof is 33.
% 1.96/2.24 % Maximum clause weight is 24.000.
% 1.96/2.24 % Given clauses 422.
% 1.96/2.24
% 1.96/2.24 1 is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))) # label(ic_JLukasiewicz_5) # label(axiom). [assumption].
% 1.96/2.24 2 -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) # label(prove_ic_4) # label(negated_conjecture) # answer(prove_ic_4). [assumption].
% 1.96/2.24 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 1.96/2.24 4 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(C,D)),implies(E,implies(implies(F,C),implies(C,D))))). [hyper(3,a,1,a,b,1,a)].
% 1.96/2.24 5 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))). [hyper(3,a,4,a,b,4,a)].
% 1.96/2.24 7 is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))). [hyper(3,a,5,a,b,5,a)].
% 1.96/2.24 11 is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))). [hyper(3,a,1,a,b,7,a)].
% 1.96/2.24 18 is_a_theorem(implies(implies(implies(A,B),implies(implies(C,D),implies(D,A))),implies(E,implies(F,implies(implies(C,D),implies(D,A)))))). [hyper(3,a,1,a,b,11,a)].
% 1.96/2.24 21 is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,implies(E,C)))))). [hyper(3,a,11,a,b,1,a)].
% 1.96/2.24 50 is_a_theorem(implies(A,implies(implies(A,B),implies(C,implies(D,B))))). [hyper(3,a,21,a,b,21,a)].
% 1.96/2.24 52 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(D,B))),E),implies(F,implies(A,E)))). [hyper(3,a,1,a,b,21,a)].
% 1.96/2.24 58 is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))). [hyper(3,a,18,a,b,1,a)].
% 1.96/2.24 63 is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(implies(D,F),C),D)))). [hyper(3,a,1,a,b,50,a)].
% 1.96/2.24 105 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))). [hyper(3,a,58,a,b,58,a)].
% 1.96/2.24 109 is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))). [hyper(3,a,105,a,b,105,a)].
% 1.96/2.24 114 is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,109,a)].
% 1.96/2.24 120 is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))). [hyper(3,a,1,a,b,114,a)].
% 1.96/2.24 379 is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))). [hyper(3,a,120,a,b,114,a)].
% 1.96/2.24 385 is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))). [hyper(3,a,379,a,b,379,a)].
% 1.96/2.24 394 is_a_theorem(implies(implies(A,A),implies(A,A))). [hyper(3,a,385,a,b,385,a)].
% 1.96/2.24 397 is_a_theorem(implies(A,implies(B,implies(C,C)))). [hyper(3,a,120,a,b,394,a)].
% 1.96/2.24 408 is_a_theorem(implies(A,implies(B,B))). [hyper(3,a,397,a,b,397,a)].
% 1.96/2.24 417 is_a_theorem(implies(A,A)). [hyper(3,a,408,a,b,408,a)].
% 1.96/2.24 419 is_a_theorem(implies(implies(A,B),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,408,a)].
% 1.96/2.24 424 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(D,C))))). [hyper(3,a,4,a,b,417,a)].
% 1.96/2.24 447 is_a_theorem(implies(implies(implies(A,B),A),implies(C,implies(D,A)))). [hyper(3,a,1,a,b,419,a)].
% 1.96/2.24 481 is_a_theorem(implies(implies(A,B),implies(B,implies(C,B)))). [hyper(3,a,424,a,b,424,a)].
% 1.96/2.24 488 is_a_theorem(implies(implies(implies(A,B),C),implies(D,implies(B,C)))). [hyper(3,a,1,a,b,481,a)].
% 1.96/2.24 515 is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(C,implies(E,D)))))). [hyper(3,a,447,a,b,52,a)].
% 1.96/2.24 517 is_a_theorem(implies(A,implies(B,implies(C,implies(implies(implies(D,E),D),D))))). [hyper(3,a,447,a,b,63,a)].
% 1.96/2.24 599 is_a_theorem(implies(A,implies(implies(B,C),implies(B,implies(D,C))))). [hyper(3,a,515,a,b,515,a)].
% 1.96/2.24 607 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))). [hyper(3,a,599,a,b,599,a)].
% 1.96/2.24 609 is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(A,C),D)))). [hyper(3,a,1,a,b,599,a)].
% 1.96/2.24 679 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),C),C)))). [hyper(3,a,517,a,b,517,a)].
% 1.96/2.24 685 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(3,a,679,a,b,679,a)].
% 1.96/2.24 701 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(3,a,685,a,b,685,a)].
% 1.96/2.24 704 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(3,a,607,a,b,701,a)].
% 1.96/2.24 705 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))). [hyper(3,a,63,a,b,701,a)].
% 1.96/2.24 712 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(D,implies(A,B))))). [hyper(3,a,1,a,b,704,a)].
% 1.96/2.24 954 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))). [hyper(3,a,705,a,b,705,a)].
% 1.96/2.24 990 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),E),implies(D,E))))). [hyper(3,a,712,a,b,488,a)].
% 1.96/2.24 1023 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(3,a,990,a,b,990,a)].
% 1.96/2.24 1032 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(3,a,1023,a,b,1023,a)].
% 1.96/2.24 1040 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(D,implies(A,C))))). [hyper(3,a,1032,a,b,1,a)].
% 1.96/2.24 1496 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(3,a,701,a,b,609,a)].
% 1.96/2.24 1543 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(D,implies(A,C)))). [hyper(3,a,1040,a,b,1496,a)].
% 1.96/2.24 2760 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))). [hyper(3,a,954,a,b,1543,a)].
% 1.96/2.24 2764 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(3,a,701,a,b,1543,a)].
% 1.96/2.24 6703 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))). [hyper(3,a,2760,a,b,1040,a)].
% 1.96/2.24 6824 is_a_theorem(implies(implies(A,implies(B,implies(B,C))),implies(A,implies(B,C)))). [hyper(3,a,6703,a,b,2764,a)].
% 1.96/2.24 11022 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(3,a,6824,a,b,1040,a)].
% 1.96/2.24 11023 $F # answer(prove_ic_4). [resolve(11022,a,2,a)].
% 1.96/2.24
% 1.96/2.24 % SZS output end Refutation
% 1.96/2.24 ============================== end of proof ==========================
% 1.96/2.24
% 1.96/2.24 ============================== STATISTICS ============================
% 1.96/2.24
% 1.96/2.24 Given=422. Generated=134737. Kept=11022. proofs=1.
% 1.96/2.24 Usable=377. Sos=9999. Demods=0. Limbo=29, Disabled=619. Hints=0.
% 1.96/2.24 Megabytes=9.43.
% 1.96/2.24 User_CPU=1.16, System_CPU=0.07, Wall_clock=2.
% 1.96/2.24
% 1.96/2.24 ============================== end of statistics =====================
% 1.96/2.24
% 1.96/2.24 ============================== end of search =========================
% 1.96/2.24
% 1.96/2.24 THEOREM PROVED
% 1.96/2.24 % SZS status Unsatisfiable
% 1.96/2.24
% 1.96/2.24 Exiting with 1 proof.
% 1.96/2.24
% 1.96/2.24 Process 11639 exit (max_proofs) Sun Jul 3 17:38:47 2022
% 1.96/2.24 Prover9 interrupted
%------------------------------------------------------------------------------