TSTP Solution File: LCL037-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 13:43:33 EDT 2022
% Result : Unsatisfiable 193.38s 193.67s
% Output : Refutation 193.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 22:35:02 EDT 2022
% 0.15/0.36 % CPUTime :
% 193.38/193.67 ============================== Prover9 ===============================
% 193.38/193.67 Prover9 (32) version 2009-11A, November 2009.
% 193.38/193.67 Process 7620 was started by sandbox2 on n015.cluster.edu,
% 193.38/193.67 Mon Jul 4 22:35:02 2022
% 193.38/193.67 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7466_n015.cluster.edu".
% 193.38/193.67 ============================== end of head ===========================
% 193.38/193.67
% 193.38/193.67 ============================== INPUT =================================
% 193.38/193.67
% 193.38/193.67 % Reading from file /tmp/Prover9_7466_n015.cluster.edu
% 193.38/193.67
% 193.38/193.67 set(prolog_style_variables).
% 193.38/193.67 set(auto2).
% 193.38/193.67 % set(auto2) -> set(auto).
% 193.38/193.67 % set(auto) -> set(auto_inference).
% 193.38/193.67 % set(auto) -> set(auto_setup).
% 193.38/193.67 % set(auto_setup) -> set(predicate_elim).
% 193.38/193.67 % set(auto_setup) -> assign(eq_defs, unfold).
% 193.38/193.67 % set(auto) -> set(auto_limits).
% 193.38/193.67 % set(auto_limits) -> assign(max_weight, "100.000").
% 193.38/193.67 % set(auto_limits) -> assign(sos_limit, 20000).
% 193.38/193.67 % set(auto) -> set(auto_denials).
% 193.38/193.67 % set(auto) -> set(auto_process).
% 193.38/193.67 % set(auto2) -> assign(new_constants, 1).
% 193.38/193.67 % set(auto2) -> assign(fold_denial_max, 3).
% 193.38/193.67 % set(auto2) -> assign(max_weight, "200.000").
% 193.38/193.67 % set(auto2) -> assign(max_hours, 1).
% 193.38/193.67 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 193.38/193.67 % set(auto2) -> assign(max_seconds, 0).
% 193.38/193.67 % set(auto2) -> assign(max_minutes, 5).
% 193.38/193.67 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 193.38/193.67 % set(auto2) -> set(sort_initial_sos).
% 193.38/193.67 % set(auto2) -> assign(sos_limit, -1).
% 193.38/193.67 % set(auto2) -> assign(lrs_ticks, 3000).
% 193.38/193.67 % set(auto2) -> assign(max_megs, 400).
% 193.38/193.67 % set(auto2) -> assign(stats, some).
% 193.38/193.67 % set(auto2) -> clear(echo_input).
% 193.38/193.67 % set(auto2) -> set(quiet).
% 193.38/193.67 % set(auto2) -> clear(print_initial_clauses).
% 193.38/193.67 % set(auto2) -> clear(print_given).
% 193.38/193.67 assign(lrs_ticks,-1).
% 193.38/193.67 assign(sos_limit,10000).
% 193.38/193.67 assign(order,kbo).
% 193.38/193.67 set(lex_order_vars).
% 193.38/193.67 clear(print_given).
% 193.38/193.67
% 193.38/193.67 % formulas(sos). % not echoed (3 formulas)
% 193.38/193.67
% 193.38/193.67 ============================== end of input ==========================
% 193.38/193.67
% 193.38/193.67 % From the command line: assign(max_seconds, 300).
% 193.38/193.67
% 193.38/193.67 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 193.38/193.67
% 193.38/193.67 % Formulas that are not ordinary clauses:
% 193.38/193.67
% 193.38/193.67 ============================== end of process non-clausal formulas ===
% 193.38/193.67
% 193.38/193.67 ============================== PROCESS INITIAL CLAUSES ===============
% 193.38/193.67
% 193.38/193.67 ============================== PREDICATE ELIMINATION =================
% 193.38/193.67
% 193.38/193.67 ============================== end predicate elimination =============
% 193.38/193.67
% 193.38/193.67 Auto_denials:
% 193.38/193.67 % copying label prove_c0_6 to answer in negative clause
% 193.38/193.67
% 193.38/193.67 Term ordering decisions:
% 193.38/193.67 Function symbol KB weights: falsehood=1. a=1. b=1. c=1. implies=1.
% 193.38/193.67
% 193.38/193.67 ============================== end of process initial clauses ========
% 193.38/193.67
% 193.38/193.67 ============================== CLAUSES FOR SEARCH ====================
% 193.38/193.67
% 193.38/193.67 ============================== end of clauses for search =============
% 193.38/193.67
% 193.38/193.67 ============================== SEARCH ================================
% 193.38/193.67
% 193.38/193.67 % Starting search at 0.01 seconds.
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=30.000, iters=3348
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=28.000, iters=3433
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=26.000, iters=3395
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=24.000, iters=3367
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=22.000, iters=3356
% 193.38/193.67
% 193.38/193.67 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 71 (0.00 of 1.03 sec).
% 193.38/193.67
% 193.38/193.67 Low Water (displace): id=11049, wt=20.000
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=20.000, iters=3334
% 193.38/193.67
% 193.38/193.67 Low Water (displace): id=11249, wt=18.000
% 193.38/193.67
% 193.38/193.67 Low Water (displace): id=11385, wt=16.000
% 193.38/193.67
% 193.38/193.67 Low Water (displace): id=13188, wt=14.000
% 193.38/193.67
% 193.38/193.67 Low Water (keep): wt=18.000, iters=3335
% 193.38/193.67
% 193.38/193.67 ============================== PROOF =================================
% 193.38/193.67 % SZS status Unsatisfiable
% 193.38/193.67 % SZS output start Refutation
% 193.38/193.67
% 193.38/193.67 % Proof 1 at 168.31 (+ 24.30) seconds: prove_c0_6.
% 193.38/193.67 % Length of proof is 82.
% 193.38/193.67 % Level of proof is 43.
% 193.38/193.67 % Maximum clause weight is 24.000.
% 193.38/193.67 % Given clauses 8683.
% 193.38/193.67
% 193.38/193.67 1 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))) # label(c0_CAMerideth) # label(axiom). [assumption].
% 193.38/193.67 2 -is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))) # label(prove_c0_6) # label(negated_conjecture) # answer(prove_c0_6). [assumption].
% 193.38/193.67 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 193.38/193.67 4 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))). [hyper(3,a,1,a,b,1,a)].
% 193.38/193.67 6 is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),implies(D,C))). [hyper(3,a,1,a,b,4,a)].
% 193.38/193.67 14 is_a_theorem(implies(A,implies(B,implies(falsehood,C)))). [hyper(3,a,6,a,b,6,a)].
% 193.38/193.67 18 is_a_theorem(implies(A,implies(falsehood,B))). [hyper(3,a,14,a,b,14,a)].
% 193.38/193.67 26 is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))). [hyper(3,a,1,a,b,18,a)].
% 193.38/193.67 28 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(3,a,4,a,b,26,a)].
% 193.38/193.67 29 is_a_theorem(implies(A,implies(B,A))). [hyper(3,a,28,a,b,28,a)].
% 193.38/193.67 34 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),implies(D,falsehood)),E)),B),implies(D,B))). [hyper(3,a,1,a,b,29,a)].
% 193.38/193.67 67 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(B,D),implies(A,falsehood)),C))). [hyper(3,a,1,a,b,34,a)].
% 193.38/193.67 127 is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(D,implies(C,A)))). [hyper(3,a,67,a,b,29,a)].
% 193.38/193.67 128 is_a_theorem(implies(implies(implies(A,B),implies(implies(falsehood,C),falsehood)),implies(D,A))). [hyper(3,a,67,a,b,26,a)].
% 193.38/193.67 131 is_a_theorem(implies(implies(implies(A,B),implies(implies(implies(implies(C,D),implies(E,falsehood)),F),falsehood)),implies(implies(A,C),implies(E,C)))). [hyper(3,a,67,a,b,1,a)].
% 193.38/193.67 139 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))). [hyper(3,a,1,a,b,128,a)].
% 193.38/193.67 144 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(3,a,1,a,b,139,a)].
% 193.38/193.67 153 is_a_theorem(implies(implies(implies(implies(A,falsehood),B),C),implies(A,C))). [hyper(3,a,1,a,b,144,a)].
% 193.38/193.67 158 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [hyper(3,a,144,a,b,1,a)].
% 193.38/193.67 195 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))). [hyper(3,a,158,a,b,158,a)].
% 193.38/193.67 261 is_a_theorem(implies(implies(A,falsehood),implies(A,B))). [hyper(3,a,153,a,b,153,a)].
% 193.38/193.67 267 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(3,a,1,a,b,153,a)].
% 193.38/193.67 276 is_a_theorem(implies(A,implies(implies(A,falsehood),B))). [hyper(3,a,153,a,b,261,a)].
% 193.38/193.67 277 is_a_theorem(implies(A,implies(B,B))). [hyper(3,a,127,a,b,261,a)].
% 193.38/193.67 281 is_a_theorem(implies(A,A)). [hyper(3,a,277,a,b,277,a)].
% 193.38/193.67 286 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))). [hyper(3,a,1,a,b,277,a)].
% 193.38/193.67 287 is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(C,A))). [hyper(3,a,67,a,b,281,a)].
% 193.38/193.67 298 is_a_theorem(implies(A,implies(implies(implies(implies(A,falsehood),B),falsehood),C))). [hyper(3,a,153,a,b,276,a)].
% 193.38/193.67 299 is_a_theorem(implies(A,implies(implies(implies(B,A),falsehood),C))). [hyper(3,a,144,a,b,276,a)].
% 193.38/193.67 482 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,falsehood),C)),falsehood),D))). [hyper(3,a,153,a,b,299,a)].
% 193.38/193.67 1011 is_a_theorem(implies(implies(implies(implies(implies(A,B),falsehood),C),falsehood),A)). [hyper(3,a,287,a,b,298,a)].
% 193.38/193.67 1022 is_a_theorem(implies(A,implies(implies(implies(implies(implies(B,A),falsehood),C),falsehood),D))). [hyper(3,a,144,a,b,298,a)].
% 193.38/193.67 1551 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,1011,a)].
% 193.38/193.67 1580 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(3,a,1551,a,b,1551,a)].
% 193.38/193.67 1600 is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))). [hyper(3,a,1551,a,b,286,a)].
% 193.38/193.67 1602 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(3,a,1551,a,b,267,a)].
% 193.38/193.67 1619 is_a_theorem(implies(A,implies(implies(implies(falsehood,B),C),C))). [hyper(3,a,1551,a,b,26,a)].
% 193.38/193.67 1622 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(3,a,1600,a,b,1600,a)].
% 193.38/193.67 1659 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(3,a,1622,a,b,1602,a)].
% 193.38/193.67 1681 is_a_theorem(implies(implies(implies(falsehood,A),B),B)). [hyper(3,a,1659,a,b,1619,a)].
% 193.38/193.67 1709 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(3,a,1681,a,b,1580,a)].
% 193.38/193.67 1724 is_a_theorem(implies(implies(implies(implies(A,implies(A,B)),implies(A,B)),C),implies(D,C))). [hyper(3,a,1,a,b,1580,a)].
% 193.38/193.67 1732 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)). [hyper(3,a,1709,a,b,139,a)].
% 193.38/193.67 1774 is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),B),B),D),implies(E,D))). [hyper(3,a,158,a,b,1732,a)].
% 193.38/193.67 3749 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(implies(C,A),falsehood),D)),falsehood),E))). [hyper(3,a,144,a,b,482,a)].
% 193.38/193.67 3750 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),falsehood),B))). [hyper(3,a,131,a,b,482,a)].
% 193.38/193.67 6258 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))). [hyper(3,a,131,a,b,1022,a)].
% 193.38/193.67 7218 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)). [hyper(3,a,1709,a,b,195,a)].
% 193.38/193.67 9235 is_a_theorem(implies(implies(implies(implies(A,implies(A,B)),implies(A,B)),C),C)). [hyper(3,a,1709,a,b,1724,a)].
% 193.38/193.67 9290 is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),B),B),D),D)). [hyper(3,a,1709,a,b,1774,a)].
% 193.38/193.67 9515 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),falsehood),B))). [hyper(3,a,131,a,b,3749,a)].
% 193.38/193.67 9522 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,implies(C,D)),C),E)),falsehood),C)). [hyper(3,a,9290,a,b,9515,a)].
% 193.38/193.67 9532 is_a_theorem(implies(implies(implies(A,implies(B,C)),falsehood),implies(implies(B,D),implies(E,D)))). [hyper(3,a,7218,a,b,9515,a)].
% 193.38/193.67 9671 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),D)),falsehood),implies(implies(implies(B,E),falsehood),C))). [hyper(3,a,9515,a,b,3750,a)].
% 193.38/193.67 11542 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))). [hyper(3,a,1709,a,b,6258,a)].
% 193.38/193.67 12363 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),A),B))). [hyper(3,a,1,a,b,9522,a)].
% 193.38/193.67 13396 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(A,D))). [hyper(3,a,1,a,b,9532,a)].
% 193.38/193.67 13404 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(3,a,9235,a,b,13396,a)].
% 193.38/193.67 13473 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(implies(B,D),D))). [hyper(3,a,12363,a,b,13404,a)].
% 193.38/193.67 15362 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))). [hyper(3,a,1,a,b,13473,a)].
% 193.38/193.67 15367 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))). [hyper(3,a,13396,a,b,15362,a)].
% 193.38/193.67 15448 is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))). [hyper(3,a,15367,a,b,15367,a)].
% 193.38/193.67 15461 is_a_theorem(implies(implies(implies(implies(A,B),implies(A,implies(C,B))),D),D)). [hyper(3,a,13404,a,b,15367,a)].
% 193.38/193.67 15765 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(A,implies(D,B)))),E),E)). [hyper(3,a,13404,a,b,15448,a)].
% 193.38/193.67 16278 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),D)),falsehood),implies(B,implies(E,C)))). [hyper(3,a,15461,a,b,9515,a)].
% 193.38/193.67 17756 is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(A,C),D))). [hyper(3,a,1,a,b,16278,a)].
% 193.38/193.67 20094 is_a_theorem(implies(implies(implies(implies(implies(A,B),falsehood),C),D),implies(implies(A,C),D))). [hyper(3,a,1,a,b,9671,a)].
% 193.38/193.67 20219 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))). [hyper(3,a,20094,a,b,1,a)].
% 193.38/193.67 20251 is_a_theorem(implies(implies(A,B),implies(implies(B,implies(A,C)),implies(D,implies(A,C))))). [hyper(3,a,20094,a,b,20219,a)].
% 193.38/193.67 20722 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))). [hyper(3,a,11542,a,b,20251,a)].
% 193.38/193.67 20731 is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))). [hyper(3,a,17756,a,b,20722,a)].
% 193.38/193.67 20737 is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(B,implies(D,C))))). [hyper(3,a,15765,a,b,20722,a)].
% 193.38/193.67 20760 is_a_theorem(implies(A,implies(implies(B,implies(A,C)),implies(B,C)))). [hyper(3,a,13396,a,b,20722,a)].
% 193.38/193.67 21532 is_a_theorem(implies(A,implies(implies(B,implies(A,C)),implies(D,implies(B,C))))). [hyper(3,a,20737,a,b,20760,a)].
% 193.38/193.67 21836 is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))). [hyper(3,a,11542,a,b,21532,a)].
% 193.38/193.67 21843 is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(A,implies(C,implies(B,D))))). [hyper(3,a,20731,a,b,21836,a)].
% 193.38/193.67 21911 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(3,a,21836,a,b,20731,a)].
% 193.38/193.67 22162 is_a_theorem(implies(A,implies(implies(B,C),implies(implies(A,B),C)))). [hyper(3,a,15362,a,b,21911,a)].
% 193.38/193.67 22276 is_a_theorem(implies(implies(A,B),implies(C,implies(implies(C,A),B)))). [hyper(3,a,21836,a,b,22162,a)].
% 193.38/193.67 22301 is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(implies(A,B),C)))). [hyper(3,a,20722,a,b,22276,a)].
% 193.38/193.67 24587 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))). [hyper(3,a,21843,a,b,22301,a)].
% 193.38/193.67 24588 $F # answer(prove_c0_6). [resolve(24587,a,2,a)].
% 193.38/193.67
% 193.38/193.67 % SZS output end Refutation
% 193.38/193.67 ============================== end of proof ==========================
% 193.38/193.67
% 193.38/193.67 ============================== STATISTICS ============================
% 193.38/193.67
% 193.38/193.67 Given=8683. Generated=47180463. Kept=24587. proofs=1.
% 193.38/193.67 Usable=8672. Sos=9200. Demods=0. Limbo=28, Disabled=6689. Hints=0.
% 193.38/193.67 Megabytes=17.29.
% 193.38/193.67 User_CPU=168.31, System_CPU=24.30, Wall_clock=193.
% 193.38/193.67
% 193.38/193.67 ============================== end of statistics =====================
% 193.38/193.67
% 193.38/193.67 ============================== end of search =========================
% 193.38/193.67
% 193.38/193.67 THEOREM PROVED
% 193.38/193.67 % SZS status Unsatisfiable
% 193.38/193.67
% 193.38/193.67 Exiting with 1 proof.
% 193.38/193.67
% 193.38/193.67 Process 7620 exit (max_proofs) Mon Jul 4 22:38:15 2022
% 193.38/193.67 Prover9 interrupted
%------------------------------------------------------------------------------