TSTP Solution File: LCL038-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 13:43:34 EDT 2022
% Result : Unsatisfiable 37.91s 38.21s
% Output : Refutation 37.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 11:09:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 37.91/38.21 ============================== Prover9 ===============================
% 37.91/38.21 Prover9 (32) version 2009-11A, November 2009.
% 37.91/38.21 Process 23924 was started by sandbox on n017.cluster.edu,
% 37.91/38.21 Mon Jul 4 11:09:43 2022
% 37.91/38.21 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23771_n017.cluster.edu".
% 37.91/38.21 ============================== end of head ===========================
% 37.91/38.21
% 37.91/38.21 ============================== INPUT =================================
% 37.91/38.21
% 37.91/38.21 % Reading from file /tmp/Prover9_23771_n017.cluster.edu
% 37.91/38.21
% 37.91/38.21 set(prolog_style_variables).
% 37.91/38.21 set(auto2).
% 37.91/38.21 % set(auto2) -> set(auto).
% 37.91/38.21 % set(auto) -> set(auto_inference).
% 37.91/38.21 % set(auto) -> set(auto_setup).
% 37.91/38.21 % set(auto_setup) -> set(predicate_elim).
% 37.91/38.21 % set(auto_setup) -> assign(eq_defs, unfold).
% 37.91/38.21 % set(auto) -> set(auto_limits).
% 37.91/38.21 % set(auto_limits) -> assign(max_weight, "100.000").
% 37.91/38.21 % set(auto_limits) -> assign(sos_limit, 20000).
% 37.91/38.21 % set(auto) -> set(auto_denials).
% 37.91/38.21 % set(auto) -> set(auto_process).
% 37.91/38.21 % set(auto2) -> assign(new_constants, 1).
% 37.91/38.21 % set(auto2) -> assign(fold_denial_max, 3).
% 37.91/38.21 % set(auto2) -> assign(max_weight, "200.000").
% 37.91/38.21 % set(auto2) -> assign(max_hours, 1).
% 37.91/38.21 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 37.91/38.21 % set(auto2) -> assign(max_seconds, 0).
% 37.91/38.21 % set(auto2) -> assign(max_minutes, 5).
% 37.91/38.21 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 37.91/38.21 % set(auto2) -> set(sort_initial_sos).
% 37.91/38.21 % set(auto2) -> assign(sos_limit, -1).
% 37.91/38.21 % set(auto2) -> assign(lrs_ticks, 3000).
% 37.91/38.21 % set(auto2) -> assign(max_megs, 400).
% 37.91/38.21 % set(auto2) -> assign(stats, some).
% 37.91/38.21 % set(auto2) -> clear(echo_input).
% 37.91/38.21 % set(auto2) -> set(quiet).
% 37.91/38.21 % set(auto2) -> clear(print_initial_clauses).
% 37.91/38.21 % set(auto2) -> clear(print_given).
% 37.91/38.21 assign(lrs_ticks,-1).
% 37.91/38.21 assign(sos_limit,10000).
% 37.91/38.21 assign(order,kbo).
% 37.91/38.21 set(lex_order_vars).
% 37.91/38.21 clear(print_given).
% 37.91/38.21
% 37.91/38.21 % formulas(sos). % not echoed (3 formulas)
% 37.91/38.21
% 37.91/38.21 ============================== end of input ==========================
% 37.91/38.21
% 37.91/38.21 % From the command line: assign(max_seconds, 300).
% 37.91/38.21
% 37.91/38.21 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 37.91/38.21
% 37.91/38.21 % Formulas that are not ordinary clauses:
% 37.91/38.21
% 37.91/38.21 ============================== end of process non-clausal formulas ===
% 37.91/38.21
% 37.91/38.21 ============================== PROCESS INITIAL CLAUSES ===============
% 37.91/38.21
% 37.91/38.21 ============================== PREDICATE ELIMINATION =================
% 37.91/38.21
% 37.91/38.21 ============================== end predicate elimination =============
% 37.91/38.21
% 37.91/38.21 Auto_denials:
% 37.91/38.21 % copying label prove_c0_1 to answer in negative clause
% 37.91/38.21
% 37.91/38.21 Term ordering decisions:
% 37.91/38.21 Function symbol KB weights: a=1. b=1. c=1. implies=1.
% 37.91/38.21
% 37.91/38.21 ============================== end of process initial clauses ========
% 37.91/38.21
% 37.91/38.21 ============================== CLAUSES FOR SEARCH ====================
% 37.91/38.21
% 37.91/38.21 ============================== end of clauses for search =============
% 37.91/38.21
% 37.91/38.21 ============================== SEARCH ================================
% 37.91/38.21
% 37.91/38.21 % Starting search at 0.01 seconds.
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=42.000, iters=3333
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=40.000, iters=3522
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=36.000, iters=3396
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=34.000, iters=3340
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=32.000, iters=3342
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=30.000, iters=3337
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=28.000, iters=3338
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=26.000, iters=3333
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=6364, wt=54.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=4857, wt=52.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=6385, wt=50.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=6367, wt=48.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=11614, wt=24.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=11665, wt=22.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=11872, wt=20.000
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=24.000, iters=3637
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=16615, wt=18.000
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=16950, wt=16.000
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=22.000, iters=3384
% 37.91/38.21
% 37.91/38.21 Low Water (displace): id=25477, wt=14.000
% 37.91/38.21
% 37.91/38.21 Low Water (keep): wt=20.000, iters=3348
% 37.91/38.21
% 37.91/38.21 ============================== PROOF =================================
% 37.91/38.21 % SZS status Unsatisfiable
% 37.91/38.21 % SZS output start Refutation
% 37.91/38.21
% 37.91/38.21 % Proof 1 at 32.71 (+ 4.51) seconds: prove_c0_1.
% 37.91/38.21 % Length of proof is 97.
% 37.91/38.21 % Level of proof is 41.
% 37.91/38.21 % Maximum clause weight is 24.000.
% 37.91/38.21 % Given clauses 3260.
% 37.91/38.21
% 37.91/38.21 1 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))) # label(ic_JLukasiewicz) # label(axiom). [assumption].
% 37.91/38.21 2 -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) # label(prove_c0_1) # label(negated_conjecture) # answer(prove_c0_1). [assumption].
% 37.91/38.21 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 37.91/38.21 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)].
% 37.91/38.21 5 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))). [hyper(3,a,4,a,b,4,a)].
% 37.91/38.21 6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))). [hyper(3,a,1,a,b,4,a)].
% 37.91/38.21 7 is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))). [hyper(3,a,5,a,b,5,a)].
% 37.91/38.21 9 is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))). [hyper(3,a,1,a,b,7,a)].
% 37.91/38.21 23 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(D,C))),implies(E,implies(C,F))),implies(V6,implies(E,implies(C,F))))). [hyper(3,a,1,a,b,6,a)].
% 37.91/38.21 24 is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))). [hyper(3,a,6,a,b,9,a)].
% 37.91/38.21 25 is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))). [hyper(3,a,6,a,b,1,a)].
% 37.91/38.21 26 is_a_theorem(implies(implies(A,B),implies(B,B))). [hyper(3,a,24,a,b,24,a)].
% 37.91/38.21 30 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))). [hyper(3,a,1,a,b,26,a)].
% 37.91/38.21 31 is_a_theorem(implies(implies(A,B),implies(A,B))). [hyper(3,a,26,a,b,9,a)].
% 37.91/38.21 33 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(3,a,1,a,b,31,a)].
% 37.91/38.21 37 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(3,a,4,a,b,30,a)].
% 37.91/38.21 44 is_a_theorem(implies(A,implies(B,A))). [hyper(3,a,37,a,b,37,a)].
% 37.91/38.21 48 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))). [hyper(3,a,1,a,b,44,a)].
% 37.91/38.21 56 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))). [hyper(3,a,1,a,b,33,a)].
% 37.91/38.21 64 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))). [hyper(3,a,1,a,b,25,a)].
% 37.91/38.21 74 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))). [hyper(3,a,23,a,b,1,a)].
% 37.91/38.21 88 is_a_theorem(implies(implies(implies(A,B),implies(C,implies(B,D))),implies(E,implies(C,implies(B,D))))). [hyper(3,a,1,a,b,48,a)].
% 37.91/38.21 103 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))). [hyper(3,a,1,a,b,56,a)].
% 37.91/38.21 148 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))). [hyper(3,a,74,a,b,74,a)].
% 37.91/38.21 154 is_a_theorem(implies(A,implies(B,implies(C,implies(D,B))))). [hyper(3,a,64,a,b,148,a)].
% 37.91/38.21 161 is_a_theorem(implies(A,implies(B,implies(C,A)))). [hyper(3,a,148,a,b,33,a)].
% 37.91/38.21 162 is_a_theorem(implies(A,implies(implies(implies(B,A),C),implies(D,C)))). [hyper(3,a,148,a,b,1,a)].
% 37.91/38.21 168 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),implies(E,C))). [hyper(3,a,1,a,b,161,a)].
% 37.91/38.21 188 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),implies(E,D))). [hyper(3,a,1,a,b,154,a)].
% 37.91/38.21 491 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))). [hyper(3,a,103,a,b,1,a)].
% 37.91/38.21 492 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))). [hyper(3,a,491,a,b,491,a)].
% 37.91/38.21 501 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))). [hyper(3,a,1,a,b,492,a)].
% 37.91/38.21 1152 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))). [hyper(3,a,501,a,b,48,a)].
% 37.91/38.21 1155 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(3,a,501,a,b,33,a)].
% 37.91/38.21 1156 is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))). [hyper(3,a,501,a,b,30,a)].
% 37.91/38.21 1171 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(3,a,1155,a,b,1155,a)].
% 37.91/38.21 1183 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,1171,a)].
% 37.91/38.21 1184 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(3,a,1171,a,b,1156,a)].
% 37.91/38.21 1210 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)). [hyper(3,a,1184,a,b,1152,a)].
% 37.91/38.21 1222 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))). [hyper(3,a,1,a,b,1210,a)].
% 37.91/38.21 1268 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(3,a,1183,a,b,1183,a)].
% 37.91/38.21 1281 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(3,a,1268,a,b,1268,a)].
% 37.91/38.21 1312 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),D)). [hyper(3,a,1281,a,b,188,a)].
% 37.91/38.21 1313 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),C)). [hyper(3,a,1281,a,b,168,a)].
% 37.91/38.21 1324 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(D,B))). [hyper(3,a,1281,a,b,103,a)].
% 37.91/38.21 1329 is_a_theorem(implies(implies(implies(A,B),implies(C,implies(B,D))),implies(C,implies(B,D)))). [hyper(3,a,1281,a,b,88,a)].
% 37.91/38.21 1331 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)). [hyper(3,a,1281,a,b,64,a)].
% 37.91/38.21 1334 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(B,C))). [hyper(3,a,1281,a,b,56,a)].
% 37.91/38.21 1367 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(E,implies(B,implies(C,implies(A,D)))))). [hyper(3,a,1,a,b,1313,a)].
% 37.91/38.21 1392 is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(D,implies(C,A)))). [hyper(3,a,1,a,b,1334,a)].
% 37.91/38.21 1635 is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(C,A))). [hyper(3,a,1281,a,b,1392,a)].
% 37.91/38.21 1835 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))). [hyper(3,a,1281,a,b,1222,a)].
% 37.91/38.21 1847 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(3,a,1222,a,b,162,a)].
% 37.91/38.21 1849 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(3,a,1847,a,b,1847,a)].
% 37.91/38.21 1875 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [hyper(3,a,1849,a,b,1,a)].
% 37.91/38.21 1876 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))). [hyper(3,a,1875,a,b,1875,a)].
% 37.91/38.21 1885 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))). [hyper(3,a,1,a,b,1875,a)].
% 37.91/38.21 1955 is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))). [hyper(3,a,1835,a,b,1,a)].
% 37.91/38.21 1972 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))). [hyper(3,a,1331,a,b,1955,a)].
% 37.91/38.21 1974 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),C),implies(A,implies(B,C)))). [hyper(3,a,1312,a,b,1955,a)].
% 37.91/38.21 2002 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))). [hyper(3,a,1955,a,b,1875,a)].
% 37.91/38.21 2032 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))). [hyper(3,a,1955,a,b,1183,a)].
% 37.91/38.21 2101 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))). [hyper(3,a,1955,a,b,48,a)].
% 37.91/38.21 2932 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)). [hyper(3,a,1281,a,b,1876,a)].
% 37.91/38.21 2965 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)). [hyper(3,a,1281,a,b,1885,a)].
% 37.91/38.21 4691 is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))). [hyper(3,a,2101,a,b,2965,a)].
% 37.91/38.21 7101 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(B,implies(C,implies(A,D))))). [hyper(3,a,1281,a,b,1367,a)].
% 37.91/38.21 12495 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)). [hyper(3,a,1972,a,b,4691,a)].
% 37.91/38.21 12711 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))). [hyper(3,a,2002,a,b,12495,a)].
% 37.91/38.21 12735 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))). [hyper(3,a,2932,a,b,12711,a)].
% 37.91/38.21 12798 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(3,a,2032,a,b,12735,a)].
% 37.91/38.21 12800 is_a_theorem(implies(A,implies(B,implies(implies(A,C),implies(D,C))))). [hyper(3,a,1974,a,b,12735,a)].
% 37.91/38.21 12812 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),C))). [hyper(3,a,12711,a,b,12798,a)].
% 37.91/38.21 12827 is_a_theorem(implies(implies(implies(implies(implies(A,B),B),C),A),implies(implies(A,B),B))). [hyper(3,a,1955,a,b,12798,a)].
% 37.91/38.21 14587 is_a_theorem(implies(implies(implies(A,implies(B,implies(implies(A,C),implies(D,C)))),E),E)). [hyper(3,a,12798,a,b,12800,a)].
% 37.91/38.21 14603 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),implies(E,D))))). [hyper(3,a,1849,a,b,12800,a)].
% 37.91/38.21 14683 is_a_theorem(implies(A,implies(B,implies(implies(A,C),C)))). [hyper(3,a,1974,a,b,12812,a)].
% 37.91/38.21 14704 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(D,implies(A,C)))). [hyper(3,a,1,a,b,12812,a)].
% 37.91/38.21 14825 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),D)))). [hyper(3,a,1849,a,b,14683,a)].
% 37.91/38.21 16419 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(A,C))). [hyper(3,a,1281,a,b,14704,a)].
% 37.91/38.21 16598 is_a_theorem(implies(A,implies(implies(implies(implies(A,B),B),C),implies(D,C)))). [hyper(3,a,14587,a,b,16419,a)].
% 37.91/38.21 16613 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),D))). [hyper(3,a,16419,a,b,14825,a)].
% 37.91/38.21 16616 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),implies(E,D)))). [hyper(3,a,16419,a,b,14603,a)].
% 37.91/38.21 16873 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))). [hyper(3,a,1835,a,b,16598,a)].
% 37.91/38.21 17292 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),D)),B),B)). [hyper(3,a,1635,a,b,16613,a)].
% 37.91/38.21 17296 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,implies(C,D)),E),E)),C),C)). [hyper(3,a,1324,a,b,16613,a)].
% 37.91/38.21 17857 is_a_theorem(implies(implies(A,implies(implies(implies(A,B),C),C)),implies(implies(implies(A,B),C),C))). [hyper(3,a,12827,a,b,17292,a)].
% 37.91/38.21 19731 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),D)),E),implies(C,E))). [hyper(3,a,1329,a,b,16616,a)].
% 37.91/38.21 20109 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),B),B))). [hyper(3,a,2002,a,b,17296,a)].
% 37.91/38.21 21038 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),C),C))). [hyper(3,a,2002,a,b,19731,a)].
% 37.91/38.21 27772 is_a_theorem(implies(implies(implies(implies(A,B),implies(A,C)),B),B)). [hyper(3,a,17857,a,b,20109,a)].
% 37.91/38.21 27821 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(B,D))),C),C)). [hyper(3,a,21038,a,b,27772,a)].
% 37.91/38.21 28015 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))). [hyper(3,a,2002,a,b,27821,a)].
% 37.91/38.21 28117 is_a_theorem(implies(implies(A,B),implies(A,implies(implies(B,C),implies(D,C))))). [hyper(3,a,14587,a,b,28015,a)].
% 37.91/38.21 29646 is_a_theorem(implies(A,implies(implies(A,B),implies(implies(B,C),implies(D,C))))). [hyper(3,a,16873,a,b,28117,a)].
% 37.91/38.21 31845 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(3,a,7101,a,b,29646,a)].
% 37.91/38.21 31846 $F # answer(prove_c0_1). [resolve(31845,a,2,a)].
% 37.91/38.21
% 37.91/38.21 % SZS output end Refutation
% 37.91/38.21 ============================== end of proof ==========================
% 37.91/38.21
% 37.91/38.21 ============================== STATISTICS ============================
% 37.91/38.21
% 37.91/38.21 Given=3260. Generated=9283839. Kept=31845. proofs=1.
% 37.91/38.21 Usable=3184. Sos=9998. Demods=0. Limbo=16, Disabled=18649. Hints=0.
% 37.91/38.21 Megabytes=20.65.
% 37.91/38.21 User_CPU=32.71, System_CPU=4.51, Wall_clock=37.
% 37.91/38.21
% 37.91/38.21 ============================== end of statistics =====================
% 37.91/38.21
% 37.91/38.21 ============================== end of search =========================
% 37.91/38.21
% 37.91/38.21 THEOREM PROVED
% 37.91/38.21 % SZS status Unsatisfiable
% 37.91/38.21
% 37.91/38.21 Exiting with 1 proof.
% 37.91/38.21
% 37.91/38.21 Process 23924 exit (max_proofs) Mon Jul 4 11:10:20 2022
% 37.91/38.21 Prover9 interrupted
%------------------------------------------------------------------------------