TSTP Solution File: LCL119-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL119-1 : 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 13:44:11 EDT 2022
% Result : Unsatisfiable 81.88s 82.19s
% Output : Refutation 81.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL119-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 15:18:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 81.88/82.19 ============================== Prover9 ===============================
% 81.88/82.19 Prover9 (32) version 2009-11A, November 2009.
% 81.88/82.19 Process 25802 was started by sandbox on n007.cluster.edu,
% 81.88/82.19 Mon Jul 4 15:18:42 2022
% 81.88/82.19 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25648_n007.cluster.edu".
% 81.88/82.19 ============================== end of head ===========================
% 81.88/82.19
% 81.88/82.19 ============================== INPUT =================================
% 81.88/82.19
% 81.88/82.19 % Reading from file /tmp/Prover9_25648_n007.cluster.edu
% 81.88/82.19
% 81.88/82.19 set(prolog_style_variables).
% 81.88/82.19 set(auto2).
% 81.88/82.19 % set(auto2) -> set(auto).
% 81.88/82.19 % set(auto) -> set(auto_inference).
% 81.88/82.19 % set(auto) -> set(auto_setup).
% 81.88/82.19 % set(auto_setup) -> set(predicate_elim).
% 81.88/82.19 % set(auto_setup) -> assign(eq_defs, unfold).
% 81.88/82.19 % set(auto) -> set(auto_limits).
% 81.88/82.19 % set(auto_limits) -> assign(max_weight, "100.000").
% 81.88/82.19 % set(auto_limits) -> assign(sos_limit, 20000).
% 81.88/82.19 % set(auto) -> set(auto_denials).
% 81.88/82.19 % set(auto) -> set(auto_process).
% 81.88/82.19 % set(auto2) -> assign(new_constants, 1).
% 81.88/82.19 % set(auto2) -> assign(fold_denial_max, 3).
% 81.88/82.19 % set(auto2) -> assign(max_weight, "200.000").
% 81.88/82.19 % set(auto2) -> assign(max_hours, 1).
% 81.88/82.19 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 81.88/82.19 % set(auto2) -> assign(max_seconds, 0).
% 81.88/82.19 % set(auto2) -> assign(max_minutes, 5).
% 81.88/82.19 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 81.88/82.19 % set(auto2) -> set(sort_initial_sos).
% 81.88/82.19 % set(auto2) -> assign(sos_limit, -1).
% 81.88/82.19 % set(auto2) -> assign(lrs_ticks, 3000).
% 81.88/82.19 % set(auto2) -> assign(max_megs, 400).
% 81.88/82.19 % set(auto2) -> assign(stats, some).
% 81.88/82.19 % set(auto2) -> clear(echo_input).
% 81.88/82.19 % set(auto2) -> set(quiet).
% 81.88/82.19 % set(auto2) -> clear(print_initial_clauses).
% 81.88/82.19 % set(auto2) -> clear(print_given).
% 81.88/82.19 assign(lrs_ticks,-1).
% 81.88/82.19 assign(sos_limit,10000).
% 81.88/82.19 assign(order,kbo).
% 81.88/82.19 set(lex_order_vars).
% 81.88/82.19 clear(print_given).
% 81.88/82.19
% 81.88/82.19 % formulas(sos). % not echoed (3 formulas)
% 81.88/82.19
% 81.88/82.19 ============================== end of input ==========================
% 81.88/82.19
% 81.88/82.19 % From the command line: assign(max_seconds, 300).
% 81.88/82.19
% 81.88/82.19 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 81.88/82.19
% 81.88/82.19 % Formulas that are not ordinary clauses:
% 81.88/82.19
% 81.88/82.19 ============================== end of process non-clausal formulas ===
% 81.88/82.19
% 81.88/82.19 ============================== PROCESS INITIAL CLAUSES ===============
% 81.88/82.19
% 81.88/82.19 ============================== PREDICATE ELIMINATION =================
% 81.88/82.19
% 81.88/82.19 ============================== end predicate elimination =============
% 81.88/82.19
% 81.88/82.19 Auto_denials:
% 81.88/82.19 % copying label prove_wo to answer in negative clause
% 81.88/82.19
% 81.88/82.19 Term ordering decisions:
% 81.88/82.19 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 81.88/82.19
% 81.88/82.19 ============================== end of process initial clauses ========
% 81.88/82.19
% 81.88/82.19 ============================== CLAUSES FOR SEARCH ====================
% 81.88/82.19
% 81.88/82.19 ============================== end of clauses for search =============
% 81.88/82.19
% 81.88/82.19 ============================== SEARCH ================================
% 81.88/82.19
% 81.88/82.19 % Starting search at 0.01 seconds.
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=68.000, iters=3414
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=64.000, iters=3397
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=60.000, iters=3364
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=52.000, iters=3354
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=48.000, iters=3363
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=44.000, iters=3350
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=40.000, iters=3342
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=36.000, iters=3371
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=32.000, iters=3348
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=28.000, iters=3422
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=4460, wt=76.000
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=4959, wt=72.000
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=5385, wt=68.000
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=10259, wt=24.000
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=10622, wt=20.000
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=24.000, iters=3380
% 81.88/82.19
% 81.88/82.19 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 2.27 sec).
% 81.88/82.19
% 81.88/82.19 Low Water (displace): id=19926, wt=16.000
% 81.88/82.19
% 81.88/82.19 Low Water (keep): wt=20.000, iters=3341
% 81.88/82.19
% 81.88/82.19 ============================== PROOF =================================
% 81.88/82.19 % SZS status Unsatisfiable
% 81.88/82.19 % SZS output start Refutation
% 81.88/82.19
% 81.88/82.19 % Proof 1 at 72.30 (+ 8.91) seconds: prove_wo.
% 81.88/82.19 % Length of proof is 85.
% 81.88/82.19 % Level of proof is 27.
% 81.88/82.19 % Maximum clause weight is 28.000.
% 81.88/82.19 % Given clauses 6233.
% 81.88/82.19
% 81.88/82.19 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(B,C)))) # label(xgj) # label(axiom). [assumption].
% 81.88/82.19 2 -is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))) # label(prove_wo) # label(negated_conjecture) # answer(prove_wo). [assumption].
% 81.88/82.19 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 81.88/82.19 4 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(D,E))))),equivalent(A,B))). [hyper(3,a,1,a,b,1,a)].
% 81.88/82.19 5 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,equivalent(D,B)),equivalent(C,D))),equivalent(E,equivalent(equivalent(F,equivalent(V6,E)),equivalent(F,V6))))),A)). [hyper(3,a,4,a,b,4,a)].
% 81.88/82.19 7 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,equivalent(D,B)),equivalent(C,D)),A)))). [hyper(3,a,4,a,b,1,a)].
% 81.88/82.19 9 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,E)),equivalent(C,D)))),equivalent(A,B)),E)). [hyper(3,a,4,a,b,7,a)].
% 81.88/82.19 10 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(equivalent(equivalent(E,equivalent(F,D)),equivalent(E,F)),C))))),equivalent(A,B))). [hyper(3,a,1,a,b,7,a)].
% 81.88/82.19 15 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,equivalent(D,equivalent(equivalent(E,equivalent(F,V6)),equivalent(E,F)))),equivalent(C,D)),V6))),equivalent(A,B))). [hyper(3,a,1,a,b,9,a)].
% 81.88/82.19 23 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(equivalent(equivalent(D,equivalent(E,C)),equivalent(D,E)),B)),A)))). [hyper(3,a,10,a,b,1,a)].
% 81.88/82.19 25 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,A)),equivalent(B,C)),equivalent(D,equivalent(equivalent(equivalent(E,equivalent(F,D)),equivalent(E,F)),V6)))),V6)). [hyper(3,a,10,a,b,23,a)].
% 81.88/82.19 44 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)). [hyper(3,a,5,a,b,1,a)].
% 81.88/82.19 45 is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))). [hyper(3,a,44,a,b,44,a)].
% 81.88/82.19 51 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,D)),C))),equivalent(A,B))). [hyper(3,a,1,a,b,44,a)].
% 81.88/82.19 53 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,E))),equivalent(C,D)))),equivalent(A,B))). [hyper(3,a,44,a,b,9,a)].
% 81.88/82.19 56 is_a_theorem(equivalent(A,A)). [hyper(3,a,45,a,b,45,a)].
% 81.88/82.19 63 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(equivalent(D,equivalent(E,C)),equivalent(D,E)),B)))),A)). [hyper(3,a,10,a,b,56,a)].
% 81.88/82.19 66 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,B)),equivalent(C,D)))),A)). [hyper(3,a,4,a,b,56,a)].
% 81.88/82.19 67 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(A,B))). [hyper(3,a,1,a,b,56,a)].
% 81.88/82.19 69 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,44,a,b,67,a)].
% 81.88/82.19 76 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,A)),equivalent(B,C)),D)),D)). [hyper(3,a,67,a,b,23,a)].
% 81.88/82.19 79 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),C)). [hyper(3,a,67,a,b,7,a)].
% 81.88/82.19 82 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,67,a,b,1,a)].
% 81.88/82.19 105 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(C,equivalent(D,D))))),equivalent(A,B))). [hyper(3,a,1,a,b,69,a)].
% 81.88/82.19 117 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,equivalent(C,equivalent(C,B)))))). [hyper(3,a,82,a,b,82,a)].
% 81.88/82.19 122 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(D,C))))),equivalent(A,B))). [hyper(3,a,1,a,b,82,a)].
% 81.88/82.19 192 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,equivalent(D,E)),equivalent(C,D)),E))),equivalent(A,B))). [hyper(3,a,1,a,b,79,a)].
% 81.88/82.19 254 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(C,equivalent(D,equivalent(E,equivalent(E,D))))))),equivalent(A,B))). [hyper(3,a,1,a,b,117,a)].
% 81.88/82.19 556 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,51,a,b,7,a)].
% 81.88/82.19 579 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,D)),D))),equivalent(A,B))). [hyper(3,a,1,a,b,556,a)].
% 81.88/82.19 809 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,F)),equivalent(D,E)))),equivalent(B,C)),F)),A)). [hyper(3,a,15,a,b,56,a)].
% 81.88/82.19 1376 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(C,C)),A)))). [hyper(3,a,105,a,b,1,a)].
% 81.88/82.19 1492 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(equivalent(C,equivalent(D,A)),equivalent(C,D)))))). [hyper(3,a,15,a,b,1376,a)].
% 81.88/82.19 1618 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,equivalent(F,equivalent(F,E))))),equivalent(C,D)))),equivalent(A,B))). [hyper(3,a,1,a,b,122,a)].
% 81.88/82.19 7235 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(B,C)),equivalent(C,A)))). [hyper(3,a,579,a,b,1,a)].
% 81.88/82.19 7311 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(C,equivalent(C,A)))))). [hyper(3,a,579,a,b,7235,a)].
% 81.88/82.19 7333 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B)))). [hyper(3,a,122,a,b,7235,a)].
% 81.88/82.19 9670 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(B,equivalent(C,C))))). [hyper(3,a,53,a,b,82,a)].
% 81.88/82.19 9941 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(C,equivalent(D,equivalent(E,E)))))),equivalent(A,B))). [hyper(3,a,1,a,b,9670,a)].
% 81.88/82.19 10469 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),equivalent(equivalent(D,equivalent(E,C)),equivalent(D,E)))). [hyper(3,a,76,a,b,1492,a)].
% 81.88/82.19 13225 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(equivalent(C,equivalent(D,B)),equivalent(C,D)))). [hyper(3,a,192,a,b,7333,a)].
% 81.88/82.19 13226 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(D,equivalent(D,A)))),equivalent(B,C)))). [hyper(3,a,192,a,b,7311,a)].
% 81.88/82.19 13247 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(equivalent(C,equivalent(C,D)),equivalent(D,B)))). [hyper(3,a,579,a,b,13225,a)].
% 81.88/82.19 13251 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(equivalent(D,equivalent(D,C)),B)))). [hyper(3,a,122,a,b,13225,a)].
% 81.88/82.19 13269 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(D,D))),equivalent(equivalent(B,C),equivalent(E,equivalent(E,A)))))). [hyper(3,a,53,a,b,13226,a)].
% 81.88/82.19 13320 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,equivalent(equivalent(D,equivalent(E,B)),equivalent(D,E)))))). [hyper(3,a,192,a,b,13247,a)].
% 81.88/82.19 13327 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(B,C)),equivalent(E,equivalent(E,D)))))). [hyper(3,a,63,a,b,13247,a)].
% 81.88/82.19 13337 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,equivalent(D,equivalent(D,E)))),equivalent(B,C)),E)))). [hyper(3,a,63,a,b,13251,a)].
% 81.88/82.19 13522 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),equivalent(D,equivalent(E,equivalent(E,D)))),C)). [hyper(3,a,254,a,b,7,a)].
% 81.88/82.19 15312 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,C),A)),B))). [hyper(3,a,9941,a,b,1492,a)].
% 81.88/82.19 15385 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(equivalent(E,E),C)),D)))),equivalent(A,B))). [hyper(3,a,1,a,b,15312,a)].
% 81.88/82.19 15582 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),equivalent(equivalent(D,equivalent(D,E)),equivalent(E,C)))). [hyper(3,a,579,a,b,10469,a)].
% 81.88/82.19 15737 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),C)),A),equivalent(D,equivalent(D,C)))). [hyper(3,a,76,a,b,13269,a)].
% 81.88/82.19 15755 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),C)),A),equivalent(equivalent(D,equivalent(E,C)),equivalent(D,E)))). [hyper(3,a,192,a,b,15737,a)].
% 81.88/82.19 15778 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,equivalent(E,B)))),equivalent(C,D)))),A)). [hyper(3,a,25,a,b,13320,a)].
% 81.88/82.19 16938 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(C,B))),D)),A),D)). [hyper(3,a,1618,a,b,7,a)].
% 81.88/82.19 17036 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),B)),C),A)))). [hyper(3,a,15385,a,b,1,a)].
% 81.88/82.19 17087 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,C),B)),A)). [hyper(3,a,66,a,b,17036,a)].
% 81.88/82.19 17473 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),equivalent(equivalent(C,C),B))). [hyper(3,a,17087,a,b,15755,a)].
% 81.88/82.19 17604 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(B,C))),equivalent(equivalent(D,D),C)),A)). [hyper(3,a,15778,a,b,17036,a)].
% 81.88/82.19 17647 is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(equivalent(B,C),B))),equivalent(equivalent(D,D),C))). [hyper(3,a,17604,a,b,15755,a)].
% 81.88/82.19 17673 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,C),B)),C))). [hyper(3,a,17604,a,b,10469,a)].
% 81.88/82.19 17793 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(equivalent(C,equivalent(D,B)),equivalent(C,D))))). [hyper(3,a,809,a,b,17673,a)].
% 81.88/82.19 17801 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(equivalent(C,D),C)),D))))). [hyper(3,a,82,a,b,17673,a)].
% 81.88/82.19 17967 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,B),C),equivalent(equivalent(D,C),D)))). [hyper(3,a,17473,a,b,17647,a)].
% 81.88/82.19 18067 is_a_theorem(equivalent(equivalent(A,A),equivalent(B,equivalent(equivalent(B,equivalent(equivalent(C,D),C)),D)))). [hyper(3,a,17801,a,b,56,a)].
% 81.88/82.19 18116 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),C))). [hyper(3,a,17967,a,b,17967,a)].
% 81.88/82.19 18378 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(equivalent(C,D),C)),D))),A)). [hyper(3,a,18116,a,b,18067,a)].
% 81.88/82.19 18668 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),B)),C),A)). [hyper(3,a,13522,a,b,18378,a)].
% 81.88/82.19 18677 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(C,equivalent(C,B))))). [hyper(3,a,18378,a,b,13337,a)].
% 81.88/82.19 18678 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,C))),equivalent(A,C))). [hyper(3,a,18378,a,b,13327,a)].
% 81.88/82.19 18731 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),equivalent(equivalent(C,equivalent(D,equivalent(D,C))),B))). [hyper(3,a,18668,a,b,16938,a)].
% 81.88/82.19 18758 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,C)),equivalent(C,D))),equivalent(A,D))). [hyper(3,a,18668,a,b,15582,a)].
% 81.88/82.19 18791 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,D)),equivalent(B,C))),equivalent(A,D))). [hyper(3,a,18668,a,b,10469,a)].
% 81.88/82.19 19133 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(A,B))). [hyper(3,a,18678,a,b,17793,a)].
% 81.88/82.19 21763 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),C),equivalent(B,C))). [hyper(3,a,18758,a,b,18677,a)].
% 81.88/82.19 22876 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(B,C)),C))). [hyper(3,a,21763,a,b,18791,a)].
% 81.88/82.19 22929 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),A),equivalent(C,B))). [hyper(3,a,18791,a,b,18731,a)].
% 81.88/82.19 23457 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(A,equivalent(B,C)),C),D)),D)). [hyper(3,a,22876,a,b,22876,a)].
% 81.88/82.19 24175 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),A)). [hyper(3,a,19133,a,b,22929,a)].
% 81.88/82.19 24895 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,equivalent(B,A)),C))). [hyper(3,a,24175,a,b,18668,a)].
% 81.88/82.19 25270 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(C,equivalent(equivalent(D,equivalent(B,A)),D))))). [hyper(3,a,18677,a,b,24895,a)].
% 81.88/82.19 39157 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(equivalent(D,equivalent(B,A)),D))). [hyper(3,a,23457,a,b,25270,a)].
% 81.88/82.19 41350 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(B,A)))). [hyper(3,a,23457,a,b,39157,a)].
% 81.88/82.19 41351 $F # answer(prove_wo). [resolve(41350,a,2,a)].
% 81.88/82.19
% 81.88/82.19 % SZS output end Refutation
% 81.88/82.19 ============================== end of proof ==========================
% 81.88/82.19
% 81.88/82.19 ============================== STATISTICS ============================
% 81.88/82.19
% 81.88/82.19 Given=6233. Generated=17015517. Kept=41350. proofs=1.
% 81.88/82.19 Usable=6233. Sos=9985. Demods=0. Limbo=0, Disabled=25134. Hints=0.
% 81.88/82.19 Megabytes=25.82.
% 81.88/82.19 User_CPU=72.30, System_CPU=8.91, Wall_clock=81.
% 81.88/82.19
% 81.88/82.19 ============================== end of statistics =====================
% 81.88/82.19
% 81.88/82.19 ============================== end of search =========================
% 81.88/82.19
% 81.88/82.19 THEOREM PROVED
% 81.88/82.19 % SZS status Unsatisfiable
% 81.88/82.19
% 81.88/82.19 Exiting with 1 proof.
% 81.88/82.19
% 81.88/82.19 Process 25802 exit (max_proofs) Mon Jul 4 15:20:03 2022
% 81.88/82.19 Prover9 interrupted
%------------------------------------------------------------------------------