TSTP Solution File: LCL084-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL084-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 13:43:54 EDT 2022
% Result : Unsatisfiable 38.46s 38.77s
% Output : Refutation 38.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL084-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 4 19:02:55 EDT 2022
% 0.11/0.33 % CPUTime :
% 38.46/38.77 ============================== Prover9 ===============================
% 38.46/38.77 Prover9 (32) version 2009-11A, November 2009.
% 38.46/38.77 Process 2545 was started by sandbox on n003.cluster.edu,
% 38.46/38.77 Mon Jul 4 19:02:55 2022
% 38.46/38.77 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2392_n003.cluster.edu".
% 38.46/38.77 ============================== end of head ===========================
% 38.46/38.77
% 38.46/38.77 ============================== INPUT =================================
% 38.46/38.77
% 38.46/38.77 % Reading from file /tmp/Prover9_2392_n003.cluster.edu
% 38.46/38.77
% 38.46/38.77 set(prolog_style_variables).
% 38.46/38.77 set(auto2).
% 38.46/38.77 % set(auto2) -> set(auto).
% 38.46/38.77 % set(auto) -> set(auto_inference).
% 38.46/38.77 % set(auto) -> set(auto_setup).
% 38.46/38.77 % set(auto_setup) -> set(predicate_elim).
% 38.46/38.77 % set(auto_setup) -> assign(eq_defs, unfold).
% 38.46/38.77 % set(auto) -> set(auto_limits).
% 38.46/38.77 % set(auto_limits) -> assign(max_weight, "100.000").
% 38.46/38.77 % set(auto_limits) -> assign(sos_limit, 20000).
% 38.46/38.77 % set(auto) -> set(auto_denials).
% 38.46/38.77 % set(auto) -> set(auto_process).
% 38.46/38.77 % set(auto2) -> assign(new_constants, 1).
% 38.46/38.77 % set(auto2) -> assign(fold_denial_max, 3).
% 38.46/38.77 % set(auto2) -> assign(max_weight, "200.000").
% 38.46/38.77 % set(auto2) -> assign(max_hours, 1).
% 38.46/38.77 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 38.46/38.77 % set(auto2) -> assign(max_seconds, 0).
% 38.46/38.77 % set(auto2) -> assign(max_minutes, 5).
% 38.46/38.77 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 38.46/38.77 % set(auto2) -> set(sort_initial_sos).
% 38.46/38.77 % set(auto2) -> assign(sos_limit, -1).
% 38.46/38.77 % set(auto2) -> assign(lrs_ticks, 3000).
% 38.46/38.77 % set(auto2) -> assign(max_megs, 400).
% 38.46/38.77 % set(auto2) -> assign(stats, some).
% 38.46/38.77 % set(auto2) -> clear(echo_input).
% 38.46/38.77 % set(auto2) -> set(quiet).
% 38.46/38.77 % set(auto2) -> clear(print_initial_clauses).
% 38.46/38.77 % set(auto2) -> clear(print_given).
% 38.46/38.77 assign(lrs_ticks,-1).
% 38.46/38.77 assign(sos_limit,10000).
% 38.46/38.77 assign(order,kbo).
% 38.46/38.77 set(lex_order_vars).
% 38.46/38.77 clear(print_given).
% 38.46/38.77
% 38.46/38.77 % formulas(sos). % not echoed (4 formulas)
% 38.46/38.77
% 38.46/38.77 ============================== end of input ==========================
% 38.46/38.77
% 38.46/38.77 % From the command line: assign(max_seconds, 300).
% 38.46/38.77
% 38.46/38.77 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 38.46/38.77
% 38.46/38.77 % Formulas that are not ordinary clauses:
% 38.46/38.77
% 38.46/38.77 ============================== end of process non-clausal formulas ===
% 38.46/38.77
% 38.46/38.77 ============================== PROCESS INITIAL CLAUSES ===============
% 38.46/38.77
% 38.46/38.77 ============================== PREDICATE ELIMINATION =================
% 38.46/38.77
% 38.46/38.77 ============================== end predicate elimination =============
% 38.46/38.77
% 38.46/38.77 Auto_denials:
% 38.46/38.77 % copying label prove_ic_4 to answer in negative clause
% 38.46/38.77
% 38.46/38.77 Term ordering decisions:
% 38.46/38.77 Function symbol KB weights: a=1. b=1. c=1. implies=1.
% 38.46/38.77
% 38.46/38.77 ============================== end of process initial clauses ========
% 38.46/38.77
% 38.46/38.77 ============================== CLAUSES FOR SEARCH ====================
% 38.46/38.77
% 38.46/38.77 ============================== end of clauses for search =============
% 38.46/38.77
% 38.46/38.77 ============================== SEARCH ================================
% 38.46/38.77
% 38.46/38.77 % Starting search at 0.01 seconds.
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=40.000, iters=3405
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=38.000, iters=3373
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=36.000, iters=3495
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=34.000, iters=3344
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=32.000, iters=3335
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=30.000, iters=3374
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=28.000, iters=3335
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=26.000, iters=3343
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=6409, wt=50.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=6427, wt=48.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=6469, wt=46.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=6448, wt=44.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=11587, wt=24.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=11626, wt=22.000
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=11693, wt=20.000
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=24.000, iters=3672
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=16237, wt=18.000
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=22.000, iters=3333
% 38.46/38.77
% 38.46/38.77 Low Water (displace): id=18048, wt=16.000
% 38.46/38.77
% 38.46/38.77 Low Water (keep): wt=20.000, iters=3339
% 38.46/38.77
% 38.46/38.77 ============================== PROOF =================================
% 38.46/38.77 % SZS status Unsatisfiable
% 38.46/38.77 % SZS output start Refutation
% 38.46/38.77
% 38.46/38.77 % Proof 1 at 33.44 (+ 4.45) seconds: prove_ic_4.
% 38.46/38.77 % Length of proof is 114.
% 38.46/38.77 % Level of proof is 39.
% 38.46/38.77 % Maximum clause weight is 24.000.
% 38.46/38.77 % Given clauses 3273.
% 38.46/38.77
% 38.46/38.77 1 is_a_theorem(implies(A,A)) # label(ic_1) # label(axiom). [assumption].
% 38.46/38.77 2 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))) # label(ic_JLukasiewicz) # label(axiom). [assumption].
% 38.46/38.77 3 -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].
% 38.46/38.77 4 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 38.46/38.77 5 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))). [hyper(4,a,2,a,b,2,a)].
% 38.46/38.77 6 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(4,a,2,a,b,1,a)].
% 38.46/38.77 8 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(4,a,2,a,b,5,a)].
% 38.46/38.77 9 is_a_theorem(implies(A,implies(B,B))). [hyper(4,a,6,a,b,6,a)].
% 38.46/38.77 10 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(4,a,5,a,b,6,a)].
% 38.46/38.77 11 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))). [hyper(4,a,2,a,b,6,a)].
% 38.46/38.77 13 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))). [hyper(4,a,2,a,b,9,a)].
% 38.46/38.77 14 is_a_theorem(implies(A,implies(B,A))). [hyper(4,a,10,a,b,10,a)].
% 38.46/38.77 15 is_a_theorem(implies(implies(implies(A,implies(B,A)),C),implies(D,C))). [hyper(4,a,2,a,b,10,a)].
% 38.46/38.77 17 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))). [hyper(4,a,2,a,b,14,a)].
% 38.46/38.77 19 is_a_theorem(implies(A,implies(B,implies(C,C)))). [hyper(4,a,14,a,b,9,a)].
% 38.46/38.77 20 is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))). [hyper(4,a,14,a,b,6,a)].
% 38.46/38.77 24 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(4,a,2,a,b,8,a)].
% 38.46/38.77 26 is_a_theorem(implies(implies(implies(A,implies(B,B)),C),implies(D,C))). [hyper(4,a,2,a,b,19,a)].
% 38.46/38.77 27 is_a_theorem(implies(A,implies(implies(implies(B,B),C),implies(D,C)))). [hyper(4,a,14,a,b,13,a)].
% 38.46/38.77 33 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))). [hyper(4,a,2,a,b,11,a)].
% 38.46/38.77 54 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))). [hyper(4,a,2,a,b,20,a)].
% 38.46/38.77 59 is_a_theorem(implies(implies(implies(implies(implies(A,A),B),implies(C,B)),D),implies(E,D))). [hyper(4,a,2,a,b,27,a)].
% 38.46/38.77 108 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,implies(C,E))),implies(F,implies(D,implies(C,E))))). [hyper(4,a,2,a,b,33,a)].
% 38.46/38.77 109 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))). [hyper(4,a,33,a,b,2,a)].
% 38.46/38.77 114 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))). [hyper(4,a,24,a,b,2,a)].
% 38.46/38.77 115 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))). [hyper(4,a,109,a,b,109,a)].
% 38.46/38.77 119 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))). [hyper(4,a,2,a,b,115,a)].
% 38.46/38.77 178 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))). [hyper(4,a,114,a,b,114,a)].
% 38.46/38.77 183 is_a_theorem(implies(A,implies(B,implies(C,implies(D,B))))). [hyper(4,a,59,a,b,178,a)].
% 38.46/38.77 187 is_a_theorem(implies(A,implies(B,implies(C,A)))). [hyper(4,a,178,a,b,115,a)].
% 38.46/38.77 190 is_a_theorem(implies(A,implies(implies(implies(B,A),C),implies(D,C)))). [hyper(4,a,178,a,b,2,a)].
% 38.46/38.77 194 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),implies(E,C))). [hyper(4,a,2,a,b,187,a)].
% 38.46/38.77 223 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),implies(E,D))). [hyper(4,a,2,a,b,183,a)].
% 38.46/38.77 266 is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),D),implies(E,D)),B),implies(F,B))). [hyper(4,a,2,a,b,190,a)].
% 38.46/38.77 832 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,C)),D),D))). [hyper(4,a,119,a,b,26,a)].
% 38.46/38.77 834 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))). [hyper(4,a,119,a,b,17,a)].
% 38.46/38.77 835 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,B)),D),D))). [hyper(4,a,119,a,b,15,a)].
% 38.46/38.77 836 is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))). [hyper(4,a,119,a,b,13,a)].
% 38.46/38.77 839 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(4,a,119,a,b,6,a)].
% 38.46/38.77 841 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(4,a,836,a,b,836,a)].
% 38.46/38.77 864 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(4,a,841,a,b,839,a)].
% 38.46/38.77 875 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(4,a,2,a,b,864,a)].
% 38.46/38.77 892 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(4,a,108,a,b,2,a)].
% 38.46/38.77 893 is_a_theorem(implies(implies(implies(A,implies(B,B)),C),C)). [hyper(4,a,864,a,b,832,a)].
% 38.46/38.77 904 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)). [hyper(4,a,893,a,b,834,a)].
% 38.46/38.77 915 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))). [hyper(4,a,2,a,b,904,a)].
% 38.46/38.77 920 is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)). [hyper(4,a,904,a,b,835,a)].
% 38.46/38.77 931 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(4,a,875,a,b,875,a)].
% 38.46/38.77 941 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(4,a,920,a,b,892,a)].
% 38.46/38.77 965 is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(D,implies(C,A)))). [hyper(4,a,2,a,b,941,a)].
% 38.46/38.77 968 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [hyper(4,a,941,a,b,2,a)].
% 38.46/38.77 969 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))). [hyper(4,a,968,a,b,968,a)].
% 38.46/38.77 979 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))). [hyper(4,a,2,a,b,968,a)].
% 38.46/38.77 1006 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(4,a,931,a,b,931,a)].
% 38.46/38.77 1020 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),D)). [hyper(4,a,1006,a,b,223,a)].
% 38.46/38.77 1021 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),C)). [hyper(4,a,1006,a,b,194,a)].
% 38.46/38.77 1039 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)). [hyper(4,a,1006,a,b,54,a)].
% 38.46/38.77 1041 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(D,B))). [hyper(4,a,1006,a,b,33,a)].
% 38.46/38.77 1070 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(E,implies(B,implies(C,implies(A,D)))))). [hyper(4,a,2,a,b,1021,a)].
% 38.46/38.77 1190 is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(C,A))). [hyper(4,a,1006,a,b,965,a)].
% 38.46/38.77 1568 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))). [hyper(4,a,1006,a,b,915,a)].
% 38.46/38.77 1589 is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))). [hyper(4,a,1568,a,b,2,a)].
% 38.46/38.77 1597 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))). [hyper(4,a,1039,a,b,1589,a)].
% 38.46/38.77 1599 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),C),implies(A,implies(B,C)))). [hyper(4,a,1020,a,b,1589,a)].
% 38.46/38.77 1652 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))). [hyper(4,a,1589,a,b,968,a)].
% 38.46/38.77 1660 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))). [hyper(4,a,1589,a,b,875,a)].
% 38.46/38.77 1707 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))). [hyper(4,a,1589,a,b,17,a)].
% 38.46/38.77 1886 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)). [hyper(4,a,1006,a,b,969,a)].
% 38.46/38.77 1933 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)). [hyper(4,a,1006,a,b,979,a)].
% 38.46/38.77 2492 is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),D),implies(E,D)),B),B)). [hyper(4,a,1006,a,b,266,a)].
% 38.46/38.77 4574 is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))). [hyper(4,a,1707,a,b,1933,a)].
% 38.46/38.77 7096 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(B,implies(C,implies(A,D))))). [hyper(4,a,1006,a,b,1070,a)].
% 38.46/38.77 9753 is_a_theorem(implies(implies(implies(A,implies(implies(B,implies(B,C)),D)),C),implies(B,C))). [hyper(4,a,1660,a,b,2492,a)].
% 38.46/38.77 9859 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(A,implies(A,B)),C))). [hyper(4,a,1652,a,b,9753,a)].
% 38.46/38.77 13155 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)). [hyper(4,a,1597,a,b,4574,a)].
% 38.46/38.77 13415 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))). [hyper(4,a,1652,a,b,13155,a)].
% 38.46/38.77 13444 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))). [hyper(4,a,1886,a,b,13415,a)].
% 38.46/38.77 13488 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(4,a,1660,a,b,13444,a)].
% 38.46/38.77 13490 is_a_theorem(implies(A,implies(B,implies(implies(A,C),implies(D,C))))). [hyper(4,a,1599,a,b,13444,a)].
% 38.46/38.77 13500 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(A,D)),implies(E,implies(A,D)))). [hyper(4,a,2,a,b,13444,a)].
% 38.46/38.77 13502 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),C))). [hyper(4,a,13415,a,b,13488,a)].
% 38.46/38.77 13520 is_a_theorem(implies(implies(implies(implies(implies(A,B),B),C),A),implies(implies(A,B),B))). [hyper(4,a,1589,a,b,13488,a)].
% 38.46/38.77 13525 is_a_theorem(implies(A,implies(implies(implies(B,A),C),C))). [hyper(4,a,941,a,b,13488,a)].
% 38.46/38.77 14698 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,A),C),C)),D),D)). [hyper(4,a,13488,a,b,13525,a)].
% 38.46/38.77 14817 is_a_theorem(implies(implies(implies(A,implies(B,implies(implies(A,C),implies(D,C)))),E),E)). [hyper(4,a,13488,a,b,13490,a)].
% 38.46/38.77 14834 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),implies(E,D))))). [hyper(4,a,941,a,b,13490,a)].
% 38.46/38.77 14914 is_a_theorem(implies(A,implies(B,implies(implies(A,C),C)))). [hyper(4,a,1599,a,b,13502,a)].
% 38.46/38.77 14933 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(D,implies(A,C)))). [hyper(4,a,2,a,b,13502,a)].
% 38.46/38.77 14968 is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),D)))). [hyper(4,a,941,a,b,14914,a)].
% 38.46/38.77 15346 is_a_theorem(implies(implies(implies(A,implies(B,implies(implies(implies(C,A),D),D))),E),E)). [hyper(4,a,13488,a,b,14968,a)].
% 38.46/38.77 16460 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(A,C))). [hyper(4,a,1006,a,b,14933,a)].
% 38.46/38.77 16640 is_a_theorem(implies(A,implies(implies(implies(implies(A,B),B),C),implies(D,C)))). [hyper(4,a,14817,a,b,16460,a)].
% 38.46/38.77 16661 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),D))). [hyper(4,a,16460,a,b,14968,a)].
% 38.46/38.77 16664 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),implies(E,D)))). [hyper(4,a,16460,a,b,14834,a)].
% 38.46/38.77 16866 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))). [hyper(4,a,1568,a,b,16640,a)].
% 38.46/38.77 17282 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),D)),B),B)). [hyper(4,a,1190,a,b,16661,a)].
% 38.46/38.77 17284 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,implies(C,D)),E),E)),C),C)). [hyper(4,a,1041,a,b,16661,a)].
% 38.46/38.77 17592 is_a_theorem(implies(implies(A,implies(implies(implies(A,B),C),C)),implies(implies(implies(A,B),C),C))). [hyper(4,a,13520,a,b,17282,a)].
% 38.46/38.77 19114 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),C)),D),implies(B,D))). [hyper(4,a,1568,a,b,16664,a)].
% 38.46/38.77 19133 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(A,C),C))). [hyper(4,a,1652,a,b,19114,a)].
% 38.46/38.77 19167 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(implies(A,C),C))). [hyper(4,a,9859,a,b,19133,a)].
% 38.46/38.77 19501 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),B),B))). [hyper(4,a,1652,a,b,17284,a)].
% 38.46/38.77 20502 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(A,D)),implies(A,D))). [hyper(4,a,19167,a,b,13500,a)].
% 38.46/38.77 21831 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),implies(D,C))),E),E))). [hyper(4,a,15346,a,b,20502,a)].
% 38.46/38.77 23672 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),implies(E,D))),B),B)). [hyper(4,a,1190,a,b,21831,a)].
% 38.46/38.77 25623 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(A,D),C),implies(B,C)))). [hyper(4,a,1652,a,b,23672,a)].
% 38.46/38.77 26915 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),C),C))). [hyper(4,a,14698,a,b,25623,a)].
% 38.46/38.77 28705 is_a_theorem(implies(implies(implies(implies(A,B),implies(A,C)),B),B)). [hyper(4,a,17592,a,b,19501,a)].
% 38.46/38.77 28741 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(B,D))),C),C)). [hyper(4,a,26915,a,b,28705,a)].
% 38.46/38.77 28943 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))). [hyper(4,a,1652,a,b,28741,a)].
% 38.46/38.77 29052 is_a_theorem(implies(implies(A,B),implies(A,implies(implies(B,C),implies(D,C))))). [hyper(4,a,14817,a,b,28943,a)].
% 38.46/38.77 30672 is_a_theorem(implies(A,implies(implies(A,B),implies(implies(B,C),implies(D,C))))). [hyper(4,a,16866,a,b,29052,a)].
% 38.46/38.77 33278 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [hyper(4,a,7096,a,b,30672,a)].
% 38.46/38.77 33279 $F # answer(prove_ic_4). [resolve(33278,a,3,a)].
% 38.46/38.77
% 38.46/38.77 % SZS output end Refutation
% 38.46/38.77 ============================== end of proof ==========================
% 38.46/38.77
% 38.46/38.77 ============================== STATISTICS ============================
% 38.46/38.77
% 38.46/38.77 Given=3273. Generated=9357253. Kept=33278. proofs=1.
% 38.46/38.77 Usable=3206. Sos=9999. Demods=0. Limbo=16, Disabled=20060. Hints=0.
% 38.46/38.77 Megabytes=21.19.
% 38.46/38.77 User_CPU=33.44, System_CPU=4.45, Wall_clock=38.
% 38.46/38.77
% 38.46/38.77 ============================== end of statistics =====================
% 38.46/38.77
% 38.46/38.77 ============================== end of search =========================
% 38.46/38.77
% 38.46/38.77 THEOREM PROVED
% 38.46/38.77 % SZS status Unsatisfiable
% 38.46/38.77
% 38.46/38.77 Exiting with 1 proof.
% 38.46/38.77
% 38.46/38.77 Process 2545 exit (max_proofs) Mon Jul 4 19:03:33 2022
% 38.46/38.77 Prover9 interrupted
%------------------------------------------------------------------------------