TSTP Solution File: LCL021-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL021-1 : 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 13:43:27 EDT 2022
% Result : Unsatisfiable 15.85s 16.17s
% Output : Refutation 15.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n017.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 01:35:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.83/11.12 ============================== Prover9 ===============================
% 10.83/11.12 Prover9 (32) version 2009-11A, November 2009.
% 10.83/11.12 Process 4429 was started by sandbox on n017.cluster.edu,
% 10.83/11.12 Mon Jul 4 01:35:27 2022
% 10.83/11.12 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4276_n017.cluster.edu".
% 10.83/11.12 ============================== end of head ===========================
% 10.83/11.12
% 10.83/11.12 ============================== INPUT =================================
% 10.83/11.12
% 10.83/11.12 % Reading from file /tmp/Prover9_4276_n017.cluster.edu
% 10.83/11.12
% 10.83/11.12 set(prolog_style_variables).
% 10.83/11.12 set(auto2).
% 10.83/11.12 % set(auto2) -> set(auto).
% 10.83/11.12 % set(auto) -> set(auto_inference).
% 10.83/11.12 % set(auto) -> set(auto_setup).
% 10.83/11.12 % set(auto_setup) -> set(predicate_elim).
% 10.83/11.12 % set(auto_setup) -> assign(eq_defs, unfold).
% 10.83/11.12 % set(auto) -> set(auto_limits).
% 10.83/11.12 % set(auto_limits) -> assign(max_weight, "100.000").
% 10.83/11.12 % set(auto_limits) -> assign(sos_limit, 20000).
% 10.83/11.12 % set(auto) -> set(auto_denials).
% 10.83/11.12 % set(auto) -> set(auto_process).
% 10.83/11.12 % set(auto2) -> assign(new_constants, 1).
% 10.83/11.12 % set(auto2) -> assign(fold_denial_max, 3).
% 10.83/11.12 % set(auto2) -> assign(max_weight, "200.000").
% 10.83/11.12 % set(auto2) -> assign(max_hours, 1).
% 10.83/11.12 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 10.83/11.12 % set(auto2) -> assign(max_seconds, 0).
% 10.83/11.12 % set(auto2) -> assign(max_minutes, 5).
% 10.83/11.12 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 10.83/11.12 % set(auto2) -> set(sort_initial_sos).
% 10.83/11.12 % set(auto2) -> assign(sos_limit, -1).
% 10.83/11.12 % set(auto2) -> assign(lrs_ticks, 3000).
% 10.83/11.12 % set(auto2) -> assign(max_megs, 400).
% 10.83/11.12 % set(auto2) -> assign(stats, some).
% 10.83/11.12 % set(auto2) -> clear(echo_input).
% 10.83/11.12 % set(auto2) -> set(quiet).
% 10.83/11.12 % set(auto2) -> clear(print_initial_clauses).
% 10.83/11.12 % set(auto2) -> clear(print_given).
% 10.83/11.12 assign(lrs_ticks,-1).
% 10.83/11.12 assign(sos_limit,10000).
% 10.83/11.12 assign(order,kbo).
% 10.83/11.12 set(lex_order_vars).
% 10.83/11.12 clear(print_given).
% 10.83/11.12
% 10.83/11.12 % formulas(sos). % not echoed (3 formulas)
% 10.83/11.12
% 10.83/11.12 ============================== end of input ==========================
% 10.83/11.12
% 10.83/11.12 % From the command line: assign(max_seconds, 300).
% 10.83/11.12
% 10.83/11.12 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 10.83/11.12
% 10.83/11.12 % Formulas that are not ordinary clauses:
% 10.83/11.12
% 10.83/11.12 ============================== end of process non-clausal formulas ===
% 10.83/11.12
% 10.83/11.12 ============================== PROCESS INITIAL CLAUSES ===============
% 10.83/11.12
% 10.83/11.12 ============================== PREDICATE ELIMINATION =================
% 10.83/11.12
% 10.83/11.12 ============================== end predicate elimination =============
% 10.83/11.12
% 10.83/11.12 Auto_denials:
% 10.83/11.12 % copying label prove_xhk to answer in negative clause
% 10.83/11.12
% 10.83/11.12 Term ordering decisions:
% 10.83/11.12 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 10.83/11.12
% 10.83/11.12 ============================== end of process initial clauses ========
% 10.83/11.12
% 10.83/11.12 ============================== CLAUSES FOR SEARCH ====================
% 10.83/11.12
% 10.83/11.12 ============================== end of clauses for search =============
% 10.83/11.12
% 10.83/11.12 ============================== SEARCH ================================
% 10.83/11.12
% 10.83/11.12 % Starting search at 0.01 seconds.
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=80.000, iters=3334
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=76.000, iters=3376
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=72.000, iters=3396
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=68.000, iters=3380
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=64.000, iters=3383
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=60.000, iters=3371
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=56.000, iters=3338
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=52.000, iters=3391
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=48.000, iters=3426
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=44.000, iters=3341
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=3153, wt=100.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=5388, wt=96.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=5391, wt=92.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=5394, wt=88.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=5396, wt=84.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=10322, wt=40.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=10332, wt=36.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=10335, wt=28.000
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=40.000, iters=3350
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=10465, wt=24.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=10707, wt=20.000
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=12999, wt=16.000
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=36.000, iters=3336
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=32.000, iters=3340
% 10.83/11.12
% 10.83/11.12 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 8.48 sec).
% 10.83/11.12
% 10.83/11.12 Low Water (displace): id=45895, wt=12.000
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=28.000, iters=3497
% 10.83/11.12
% 10.83/11.12 Low Water (keep): wt=24.000, iters=3352
% 15.85/16.17
% 15.85/16.17 ============================== PROOF =================================
% 15.85/16.17 % SZS status Unsatisfiable
% 15.85/16.17 % SZS output start Refutation
% 15.85/16.17
% 15.85/16.17 % Proof 1 at 14.83 (+ 0.41) seconds: prove_xhk.
% 15.85/16.17 % Length of proof is 113.
% 15.85/16.17 % Level of proof is 47.
% 15.85/16.17 % Maximum clause weight is 48.000.
% 15.85/16.17 % Given clauses 1187.
% 15.85/16.17
% 15.85/16.17 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B)))) # label(xhn) # label(axiom). [assumption].
% 15.85/16.17 2 -is_a_theorem(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(a,c),b)))) # label(prove_xhk) # label(negated_conjecture) # answer(prove_xhk). [assumption].
% 15.85/16.17 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 15.85/16.17 4 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(E,C),D)))),A))). [hyper(3,a,1,a,b,1,a)].
% 15.85/16.17 5 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,B),C)))),E),equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6)))),equivalent(E,A))). [hyper(3,a,4,a,b,4,a)].
% 15.85/16.17 6 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(V6,E),F)))),C))),A))). [hyper(3,a,1,a,b,4,a)].
% 15.85/16.17 7 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),A)),equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E)))),C)). [hyper(3,a,4,a,b,1,a)].
% 15.85/16.17 10 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E)))),B))),V6),equivalent(equivalent(V7,V8),equivalent(equivalent(V8,equivalent(V9,equivalent(equivalent(V10,V11),equivalent(equivalent(V11,V9),V10)))),V7))),equivalent(V6,A))). [hyper(3,a,6,a,b,6,a)].
% 15.85/16.17 14 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,B),C)))),E),equivalent(equivalent(F,V6),equivalent(equivalent(V6,equivalent(V7,equivalent(equivalent(V8,V9),equivalent(equivalent(V9,V7),V8)))),F))),equivalent(E,A))). [hyper(3,a,6,a,b,4,a)].
% 15.85/16.17 20 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B))),equivalent(equivalent(equivalent(D,E),equivalent(equivalent(E,equivalent(F,equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))),D)),F))). [hyper(3,a,5,a,b,7,a)].
% 15.85/16.17 22 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(D,equivalent(A,equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(V6,E),F)))))),B)),D))). [hyper(3,a,5,a,b,4,a)].
% 15.85/16.17 24 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,equivalent(D,equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(V6,E),F)))))),A)),C),equivalent(equivalent(V7,V8),equivalent(equivalent(V8,equivalent(V9,equivalent(equivalent(V10,V11),equivalent(equivalent(V11,V9),V10)))),V7))),D)). [hyper(3,a,6,a,b,22,a)].
% 15.85/16.17 84 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E))))),A)),C)). [hyper(3,a,20,a,b,1,a)].
% 15.85/16.17 91 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(E,equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6)))),D)))),A)),C)). [hyper(3,a,7,a,b,10,a)].
% 15.85/16.17 109 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B))),equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E))))). [hyper(3,a,7,a,b,84,a)].
% 15.85/16.17 112 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,B),C)))),equivalent(equivalent(E,F),equivalent(equivalent(F,equivalent(A,equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))),E)))). [hyper(3,a,4,a,b,84,a)].
% 15.85/16.17 113 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(equivalent(C,D),equivalent(equivalent(D,equivalent(E,equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6))))),C)),E)),A))). [hyper(3,a,1,a,b,84,a)].
% 15.85/16.17 115 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),A)),D),C),equivalent(D,equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(V6,E),F)))))). [hyper(3,a,84,a,b,20,a)].
% 15.85/16.17 121 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(E,C),D))),equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6))))),A))). [hyper(3,a,1,a,b,109,a)].
% 15.85/16.17 130 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E))))),equivalent(C,A)),equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))). [hyper(3,a,115,a,b,84,a)].
% 15.85/16.17 187 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(equivalent(equivalent(D,E),equivalent(equivalent(E,equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6)))),D)),A)),B)))). [hyper(3,a,91,a,b,115,a)].
% 15.85/16.17 238 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),A)),equivalent(equivalent(equivalent(D,E),equivalent(equivalent(E,equivalent(F,equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))),D)),F)),C)). [hyper(3,a,113,a,b,1,a)].
% 15.85/16.17 329 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),A)),equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E))),equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))),C)). [hyper(3,a,121,a,b,1,a)].
% 15.85/16.17 454 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B))),equivalent(equivalent(D,E),equivalent(equivalent(E,equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(V7,F),V6)))),D))),V8),V8)). [hyper(3,a,14,a,b,187,a)].
% 15.85/16.17 816 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,D)),A)),C),D),equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(V6,E),F))))). [hyper(3,a,115,a,b,130,a)].
% 15.85/16.17 836 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(D,equivalent(E,F)),C)),E),F),equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V8,V6),V7))))),A))). [hyper(3,a,112,a,b,816,a)].
% 15.85/16.17 1195 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(C,A)),equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E)))))),C)). [hyper(3,a,238,a,b,4,a)].
% 15.85/16.17 1623 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,D)),A)),C),D)). [hyper(3,a,84,a,b,836,a)].
% 15.85/16.17 1752 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,B),C)))),equivalent(equivalent(equivalent(E,F),equivalent(equivalent(F,equivalent(V6,A)),E)),V6))). [hyper(3,a,4,a,b,1623,a)].
% 15.85/16.17 1754 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,D),B)),equivalent(E,A)),D)),E)). [hyper(3,a,1623,a,b,329,a)].
% 15.85/16.17 1788 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(equivalent(C,A),equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(F,D),E))))))). [hyper(3,a,1754,a,b,22,a)].
% 15.85/16.17 2083 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B))),D),E),equivalent(D,E))). [hyper(3,a,1754,a,b,1752,a)].
% 15.85/16.17 2177 is_a_theorem(equivalent(A,A)). [hyper(3,a,2083,a,b,454,a)].
% 15.85/16.17 2216 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,C)),A))). [hyper(3,a,1,a,b,2177,a)].
% 15.85/16.17 2266 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,B)),C),equivalent(D,D)),equivalent(C,A))). [hyper(3,a,2216,a,b,2216,a)].
% 15.85/16.17 2303 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(D,equivalent(A,equivalent(E,E)))),B)),D))). [hyper(3,a,5,a,b,2216,a)].
% 15.85/16.17 2305 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,equivalent(E,E)),C))),A))). [hyper(3,a,1,a,b,2216,a)].
% 15.85/16.17 2306 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)). [hyper(3,a,2216,a,b,2177,a)].
% 15.85/16.17 2375 is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))). [hyper(3,a,2306,a,b,2306,a)].
% 15.85/16.17 2397 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(C,equivalent(D,D))),A)),C)). [hyper(3,a,24,a,b,2306,a)].
% 15.85/16.17 2411 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(C,equivalent(D,D)),C)),A))). [hyper(3,a,1,a,b,2306,a)].
% 15.85/16.17 2412 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B))),D),D)). [hyper(3,a,2306,a,b,2083,a)].
% 15.85/16.17 2462 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(equivalent(C,C),equivalent(D,D))),A))). [hyper(3,a,1,a,b,2375,a)].
% 15.85/16.17 2878 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(A,equivalent(C,C))),B))). [hyper(3,a,2266,a,b,1623,a)].
% 15.85/16.17 3356 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,C)),B)),A)). [hyper(3,a,2306,a,b,2411,a)].
% 15.85/16.17 6221 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(equivalent(C,A),equivalent(D,D))))). [hyper(3,a,1754,a,b,2303,a)].
% 15.85/16.17 6546 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),equivalent(C,C)),equivalent(D,D))),B)). [hyper(3,a,3356,a,b,6221,a)].
% 15.85/16.17 7506 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),equivalent(A,equivalent(C,C))))). [hyper(3,a,6546,a,b,2303,a)].
% 15.85/16.17 11151 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(D,D)),B))),A)). [hyper(3,a,2306,a,b,2305,a)].
% 15.85/16.17 11344 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,B),C)),C)). [hyper(3,a,11151,a,b,6221,a)].
% 15.85/16.17 11383 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(C,C)),equivalent(D,D)))). [hyper(3,a,6221,a,b,11344,a)].
% 15.85/16.17 11579 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,1195,a,b,11383,a)].
% 15.85/16.17 11609 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(B,equivalent(B,equivalent(C,C))),equivalent(D,D)))). [hyper(3,a,7506,a,b,11579,a)].
% 15.85/16.17 11690 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(A,equivalent(C,C))),B)),equivalent(D,D))). [hyper(3,a,11579,a,b,2878,a)].
% 15.85/16.17 11934 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,equivalent(C,C)))),A)). [hyper(3,a,1195,a,b,11609,a)].
% 15.85/16.17 12005 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)). [hyper(3,a,11934,a,b,6221,a)].
% 15.85/16.17 12037 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(C,B)),C),equivalent(D,D)))). [hyper(3,a,7506,a,b,12005,a)].
% 15.85/16.17 12059 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,B)),C),equivalent(D,D))),A)). [hyper(3,a,2878,a,b,12005,a)].
% 15.85/16.17 12060 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,B),equivalent(C,C))),equivalent(D,equivalent(A,D)))). [hyper(3,a,2462,a,b,12005,a)].
% 15.85/16.17 12064 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),equivalent(C,equivalent(A,C)))). [hyper(3,a,2216,a,b,12005,a)].
% 15.85/16.17 12957 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,A)),equivalent(C,C)),equivalent(B,equivalent(D,D)))). [hyper(3,a,2216,a,b,12064,a)].
% 15.85/16.17 15471 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,B)),C)),A)). [hyper(3,a,1195,a,b,12037,a)].
% 15.85/16.17 16680 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,equivalent(B,equivalent(D,D))),C)),A))). [hyper(3,a,12060,a,b,11690,a)].
% 15.85/16.17 18507 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,B)),C),A)),equivalent(D,D))). [hyper(3,a,12059,a,b,12957,a)].
% 15.85/16.17 24261 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,A),B)),equivalent(D,D)))). [hyper(3,a,1754,a,b,16680,a)].
% 15.85/16.17 28497 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,A)),B),equivalent(C,equivalent(D,D))),C)). [hyper(3,a,2266,a,b,18507,a)].
% 15.85/16.17 29350 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,B)),C),equivalent(C,A))). [hyper(3,a,1754,a,b,24261,a)].
% 15.85/16.17 29962 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(C,C))),equivalent(D,D)))). [hyper(3,a,6221,a,b,29350,a)].
% 15.85/16.17 30037 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,B),C),equivalent(D,D))),equivalent(C,A))). [hyper(3,a,29350,a,b,6221,a)].
% 15.85/16.17 33369 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,A)),B),C),equivalent(C,equivalent(D,D)))). [hyper(3,a,28497,a,b,29962,a)].
% 15.85/16.17 34794 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)). [hyper(3,a,30037,a,b,24261,a)].
% 15.85/16.17 35031 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),equivalent(equivalent(C,A),C))). [hyper(3,a,2216,a,b,34794,a)].
% 15.85/16.17 40842 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,1195,a,b,33369,a)].
% 15.85/16.17 40922 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(B,C))),A))). [hyper(3,a,40842,a,b,40842,a)].
% 15.85/16.17 40999 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(equivalent(C,A),B)),C),equivalent(D,D)))). [hyper(3,a,6221,a,b,40842,a)].
% 15.85/16.17 41271 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(B,C)))),A)). [hyper(3,a,35031,a,b,40922,a)].
% 15.85/16.17 42218 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),B),equivalent(C,A))). [hyper(3,a,41271,a,b,1788,a)].
% 15.85/16.17 42226 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,A)),C),B),C)). [hyper(3,a,41271,a,b,42218,a)].
% 15.85/16.17 42272 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(A,C))),B)). [hyper(3,a,15471,a,b,42218,a)].
% 15.85/16.17 42333 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(D,A)),B)),D))). [hyper(3,a,2083,a,b,42218,a)].
% 15.85/16.17 42372 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),A)),C)). [hyper(3,a,42218,a,b,2412,a)].
% 15.85/16.17 43770 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,A),B))),C)). [hyper(3,a,42272,a,b,42372,a)].
% 15.85/16.17 43791 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,29350,a,b,42372,a)].
% 15.85/16.17 43874 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,B),C))),A)). [hyper(3,a,43791,a,b,43791,a)].
% 15.85/16.17 44551 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,B)),A)),C)). [hyper(3,a,42218,a,b,43770,a)].
% 15.85/16.17 45135 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),A),C),B),C)). [hyper(3,a,43874,a,b,42218,a)].
% 15.85/16.17 45894 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),equivalent(C,equivalent(B,C)))). [hyper(3,a,42226,a,b,44551,a)].
% 15.85/16.17 47245 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(A,B))). [hyper(3,a,45135,a,b,2397,a)].
% 15.85/16.17 47662 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(A,C)))),B)). [hyper(3,a,42218,a,b,45894,a)].
% 15.85/16.17 64662 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,A),B)),C))). [hyper(3,a,47245,a,b,40999,a)].
% 15.85/16.17 64858 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,42372,a,b,64662,a)].
% 15.85/16.17 65483 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,C)),C)),A)). [hyper(3,a,43791,a,b,64858,a)].
% 15.85/16.17 65596 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,A),equivalent(C,C)))). [hyper(3,a,6221,a,b,64858,a)].
% 15.85/16.17 66812 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(C,A))),B)). [hyper(3,a,65483,a,b,42218,a)].
% 15.85/16.17 69659 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,47245,a,b,65596,a)].
% 15.85/16.17 70068 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(C,B))),A)). [hyper(3,a,43791,a,b,69659,a)].
% 15.85/16.17 74094 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,C)),A)),C)). [hyper(3,a,66812,a,b,44551,a)].
% 15.85/16.17 74356 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,A)),C)). [hyper(3,a,70068,a,b,42218,a)].
% 15.85/16.17 86200 is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(B,equivalent(B,C)))),C)). [hyper(3,a,66812,a,b,74094,a)].
% 15.85/16.17 86627 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),A)),equivalent(C,B))). [hyper(3,a,74356,a,b,44551,a)].
% 15.85/16.17 109328 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(C,A)))). [hyper(3,a,1754,a,b,42333,a)].
% 15.85/16.17 109396 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,A),B))). [hyper(3,a,69659,a,b,109328,a)].
% 15.85/16.17 109494 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(B,A),C))). [hyper(3,a,109328,a,b,86627,a)].
% 15.85/16.17 109504 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,C))),equivalent(C,A))). [hyper(3,a,109328,a,b,86200,a)].
% 15.85/16.17 109577 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,B))),equivalent(A,C))). [hyper(3,a,109328,a,b,47662,a)].
% 15.85/16.17 111838 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,C))),equivalent(C,B))). [hyper(3,a,109396,a,b,109396,a)].
% 15.85/16.17 141632 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(A,C))),B)). [hyper(3,a,109577,a,b,111838,a)].
% 15.85/16.17 141649 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,A),equivalent(B,C))))). [hyper(3,a,109504,a,b,111838,a)].
% 15.85/16.17 144217 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))). [hyper(3,a,109328,a,b,141632,a)].
% 15.85/16.17 145865 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,A)),B),C)). [hyper(3,a,109396,a,b,141649,a)].
% 15.85/16.17 156719 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(C,A))). [hyper(3,a,109494,a,b,144217,a)].
% 15.85/16.17 183471 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B)))). [hyper(3,a,156719,a,b,145865,a)].
% 15.85/16.17 183472 $F # answer(prove_xhk). [resolve(183471,a,2,a)].
% 15.85/16.17
% 15.85/16.17 % SZS output end Refutation
% 15.85/16.17 ============================== end of proof ==========================
% 15.85/16.17
% 15.85/16.17 ============================== STATISTICS ============================
% 15.85/16.17
% 15.85/16.17 Given=1187. Generated=761715. Kept=183471. proofs=1.
% 15.85/16.17 Usable=1187. Sos=9999. Demods=0. Limbo=247, Disabled=172040. Hints=0.
% 15.85/16.17 Megabytes=93.14.
% 15.85/16.17 User_CPU=14.83, System_CPU=0.41, Wall_clock=15.
% 15.85/16.17
% 15.85/16.17 ============================== end of statistics =====================
% 15.85/16.17
% 15.85/16.17 ============================== end of search =========================
% 15.85/16.17
% 15.85/16.17 THEOREM PROVED
% 15.85/16.17 % SZS status Unsatisfiable
% 15.85/16.17
% 15.85/16.17 Exiting with 1 proof.
% 15.85/16.17
% 15.85/16.17 Process 4429 exit (max_proofs) Mon Jul 4 01:35:42 2022
% 15.85/16.17 Prover9 interrupted
%------------------------------------------------------------------------------