TSTP Solution File: LCL017-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL017-1 : 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 13:43:25 EDT 2022
% Result : Unsatisfiable 12.05s 12.35s
% Output : Refutation 12.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 2 15:57:40 EDT 2022
% 0.11/0.32 % CPUTime :
% 12.05/12.35 ============================== Prover9 ===============================
% 12.05/12.35 Prover9 (32) version 2009-11A, November 2009.
% 12.05/12.35 Process 24959 was started by sandbox on n017.cluster.edu,
% 12.05/12.35 Sat Jul 2 15:57:41 2022
% 12.05/12.35 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24806_n017.cluster.edu".
% 12.05/12.35 ============================== end of head ===========================
% 12.05/12.35
% 12.05/12.35 ============================== INPUT =================================
% 12.05/12.35
% 12.05/12.35 % Reading from file /tmp/Prover9_24806_n017.cluster.edu
% 12.05/12.35
% 12.05/12.35 set(prolog_style_variables).
% 12.05/12.35 set(auto2).
% 12.05/12.35 % set(auto2) -> set(auto).
% 12.05/12.35 % set(auto) -> set(auto_inference).
% 12.05/12.35 % set(auto) -> set(auto_setup).
% 12.05/12.35 % set(auto_setup) -> set(predicate_elim).
% 12.05/12.35 % set(auto_setup) -> assign(eq_defs, unfold).
% 12.05/12.35 % set(auto) -> set(auto_limits).
% 12.05/12.35 % set(auto_limits) -> assign(max_weight, "100.000").
% 12.05/12.35 % set(auto_limits) -> assign(sos_limit, 20000).
% 12.05/12.35 % set(auto) -> set(auto_denials).
% 12.05/12.35 % set(auto) -> set(auto_process).
% 12.05/12.35 % set(auto2) -> assign(new_constants, 1).
% 12.05/12.35 % set(auto2) -> assign(fold_denial_max, 3).
% 12.05/12.35 % set(auto2) -> assign(max_weight, "200.000").
% 12.05/12.35 % set(auto2) -> assign(max_hours, 1).
% 12.05/12.35 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 12.05/12.35 % set(auto2) -> assign(max_seconds, 0).
% 12.05/12.35 % set(auto2) -> assign(max_minutes, 5).
% 12.05/12.35 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 12.05/12.35 % set(auto2) -> set(sort_initial_sos).
% 12.05/12.35 % set(auto2) -> assign(sos_limit, -1).
% 12.05/12.35 % set(auto2) -> assign(lrs_ticks, 3000).
% 12.05/12.35 % set(auto2) -> assign(max_megs, 400).
% 12.05/12.35 % set(auto2) -> assign(stats, some).
% 12.05/12.35 % set(auto2) -> clear(echo_input).
% 12.05/12.35 % set(auto2) -> set(quiet).
% 12.05/12.35 % set(auto2) -> clear(print_initial_clauses).
% 12.05/12.35 % set(auto2) -> clear(print_given).
% 12.05/12.35 assign(lrs_ticks,-1).
% 12.05/12.35 assign(sos_limit,10000).
% 12.05/12.35 assign(order,kbo).
% 12.05/12.35 set(lex_order_vars).
% 12.05/12.35 clear(print_given).
% 12.05/12.35
% 12.05/12.35 % formulas(sos). % not echoed (3 formulas)
% 12.05/12.35
% 12.05/12.35 ============================== end of input ==========================
% 12.05/12.35
% 12.05/12.35 % From the command line: assign(max_seconds, 300).
% 12.05/12.35
% 12.05/12.35 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 12.05/12.35
% 12.05/12.35 % Formulas that are not ordinary clauses:
% 12.05/12.35
% 12.05/12.35 ============================== end of process non-clausal formulas ===
% 12.05/12.35
% 12.05/12.35 ============================== PROCESS INITIAL CLAUSES ===============
% 12.05/12.35
% 12.05/12.35 ============================== PREDICATE ELIMINATION =================
% 12.05/12.35
% 12.05/12.35 ============================== end predicate elimination =============
% 12.05/12.35
% 12.05/12.35 Auto_denials:
% 12.05/12.35 % copying label prove_yro to answer in negative clause
% 12.05/12.35
% 12.05/12.35 Term ordering decisions:
% 12.05/12.35 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 12.05/12.35
% 12.05/12.35 ============================== end of process initial clauses ========
% 12.05/12.35
% 12.05/12.35 ============================== CLAUSES FOR SEARCH ====================
% 12.05/12.35
% 12.05/12.35 ============================== end of clauses for search =============
% 12.05/12.35
% 12.05/12.35 ============================== SEARCH ================================
% 12.05/12.35
% 12.05/12.35 % Starting search at 0.01 seconds.
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=100.000, iters=3587
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=84.000, iters=3506
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=76.000, iters=3415
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=68.000, iters=3363
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=64.000, iters=3488
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=60.000, iters=3602
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=56.000, iters=3356
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=52.000, iters=3508
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=48.000, iters=3337
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=44.000, iters=3546
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=40.000, iters=3368
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=32.000, iters=3383
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=28.000, iters=3342
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=5044, wt=124.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=5509, wt=116.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=5511, wt=108.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=5529, wt=100.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=10235, wt=24.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=10236, wt=20.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=17360, wt=16.000
% 12.05/12.35
% 12.05/12.35 Low Water (displace): id=26445, wt=12.000
% 12.05/12.35
% 12.05/12.35 Low Water (keep): wt=24.000, iters=3396
% 12.05/12.35
% 12.05/12.35 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 6.57 sec).
% 12.05/12.35
% 12.05/12.35 ============================== PROOF =================================
% 12.05/12.35 % SZS status Unsatisfiable
% 12.05/12.35 % SZS output start Refutation
% 12.05/12.35
% 12.05/12.35 % Proof 1 at 11.15 (+ 0.26) seconds: prove_yro.
% 12.05/12.35 % Length of proof is 91.
% 12.05/12.35 % Level of proof is 35.
% 12.05/12.35 % Maximum clause weight is 36.000.
% 12.05/12.35 % Given clauses 920.
% 12.05/12.35
% 12.05/12.35 1 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(B,A))) # label(pyo) # label(axiom). [assumption].
% 12.05/12.35 2 -is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))) # label(prove_yro) # label(negated_conjecture) # answer(prove_yro). [assumption].
% 12.05/12.35 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 12.05/12.35 4 is_a_theorem(equivalent(A,equivalent(B,equivalent(C,equivalent(A,equivalent(C,B)))))). [hyper(3,a,1,a,b,1,a)].
% 12.05/12.35 5 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,equivalent(C,equivalent(E,D))))),equivalent(B,A))))). [hyper(3,a,4,a,b,4,a)].
% 12.05/12.35 6 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(equivalent(C,equivalent(D,E)),E),equivalent(D,C)),equivalent(B,A))))). [hyper(3,a,4,a,b,1,a)].
% 12.05/12.35 9 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(D,equivalent(B,equivalent(D,C))))),equivalent(A,equivalent(E,equivalent(F,equivalent(V6,equivalent(E,equivalent(V6,F))))))))). [hyper(3,a,5,a,b,4,a)].
% 12.05/12.35 15 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(C,D)),D),equivalent(C,B)),equivalent(A,equivalent(E,equivalent(F,equivalent(V6,equivalent(E,equivalent(V6,F))))))))). [hyper(3,a,6,a,b,4,a)].
% 12.05/12.35 16 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(C,D)),D),equivalent(C,B)),equivalent(A,equivalent(equivalent(equivalent(E,equivalent(F,V6)),V6),equivalent(F,E)))))). [hyper(3,a,6,a,b,1,a)].
% 12.05/12.35 33 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(A,equivalent(C,B))))),equivalent(equivalent(D,equivalent(E,equivalent(F,equivalent(D,equivalent(F,E))))),equivalent(V6,equivalent(V7,equivalent(V8,equivalent(V6,equivalent(V8,V7)))))))). [hyper(3,a,9,a,b,4,a)].
% 12.05/12.35 365 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,equivalent(C,equivalent(D,equivalent(E,equivalent(C,equivalent(E,D)))))))),B)). [hyper(3,a,1,a,b,33,a)].
% 12.05/12.35 385 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(D,equivalent(B,equivalent(D,C)))))),A)). [hyper(3,a,1,a,b,365,a)].
% 12.05/12.35 386 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,365,a,b,4,a)].
% 12.05/12.35 427 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(B,C))),A))). [hyper(3,a,386,a,b,386,a)].
% 12.05/12.35 490 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,B))),equivalent(C,equivalent(D,equivalent(C,D))))). [hyper(3,a,427,a,b,386,a)].
% 12.05/12.35 539 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),D),equivalent(C,B))))). [hyper(3,a,385,a,b,15,a)].
% 12.05/12.35 545 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(B,A)))),equivalent(C,D)),D)). [hyper(3,a,385,a,b,1,a)].
% 12.05/12.35 938 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)). [hyper(3,a,1,a,b,490,a)].
% 12.05/12.35 967 is_a_theorem(equivalent(A,A)). [hyper(3,a,1,a,b,938,a)].
% 12.05/12.35 973 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,B))),equivalent(C,C))). [hyper(3,a,427,a,b,967,a)].
% 12.05/12.35 974 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))). [hyper(3,a,386,a,b,967,a)].
% 12.05/12.35 1025 is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))). [hyper(3,a,974,a,b,967,a)].
% 12.05/12.35 1156 is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))). [hyper(3,a,1,a,b,1025,a)].
% 12.05/12.35 1157 is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(B,B))),equivalent(C,C))). [hyper(3,a,1156,a,b,1156,a)].
% 12.05/12.35 1190 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,A)),B),equivalent(C,C))). [hyper(3,a,1156,a,b,938,a)].
% 12.05/12.35 2273 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(A,equivalent(C,C)),B)))). [hyper(3,a,1,a,b,1190,a)].
% 12.05/12.35 3190 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(B,A)))),C)). [hyper(3,a,545,a,b,386,a)].
% 12.05/12.35 3250 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,3190,a,b,539,a)].
% 12.05/12.35 3258 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),B),equivalent(C,C))). [hyper(3,a,1156,a,b,3250,a)].
% 12.05/12.35 3271 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,B))),equivalent(equivalent(C,equivalent(C,D)),D))). [hyper(3,a,427,a,b,3250,a)].
% 12.05/12.35 3298 is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)). [hyper(3,a,3250,a,b,2273,a)].
% 12.05/12.35 3397 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(B,equivalent(A,C)),C),D)),D)). [hyper(3,a,3298,a,b,16,a)].
% 12.05/12.35 12632 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,1,a,b,3271,a)].
% 12.05/12.35 12681 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,A))),equivalent(C,C))). [hyper(3,a,1156,a,b,12632,a)].
% 12.05/12.35 14139 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),equivalent(B,C)),C)). [hyper(3,a,3397,a,b,12681,a)].
% 12.05/12.35 14151 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,A)),C)),C)). [hyper(3,a,3397,a,b,3258,a)].
% 12.05/12.35 14179 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(A,B)),C)),C)). [hyper(3,a,3397,a,b,1190,a)].
% 12.05/12.35 14183 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,B)),equivalent(A,C)),C)). [hyper(3,a,3397,a,b,1157,a)].
% 12.05/12.35 14186 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,A)),equivalent(B,C)),C)). [hyper(3,a,3397,a,b,973,a)].
% 12.05/12.35 14190 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,equivalent(A,C)),C))). [hyper(3,a,3397,a,b,386,a)].
% 12.05/12.35 15010 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,equivalent(C,equivalent(C,B)))))). [hyper(3,a,14151,a,b,4,a)].
% 12.05/12.35 15086 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,equivalent(C,equivalent(B,C)))))). [hyper(3,a,14179,a,b,4,a)].
% 12.05/12.35 15239 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,C)),equivalent(A,B)))). [hyper(3,a,14183,a,b,4,a)].
% 12.05/12.35 17448 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),equivalent(C,equivalent(C,B)))). [hyper(3,a,14186,a,b,15010,a)].
% 12.05/12.35 17451 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,equivalent(C,equivalent(C,A)))))). [hyper(3,a,14151,a,b,15010,a)].
% 12.05/12.35 17455 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B)))). [hyper(3,a,14139,a,b,15010,a)].
% 12.05/12.35 17856 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),equivalent(C,equivalent(B,C)))). [hyper(3,a,14186,a,b,15086,a)].
% 12.05/12.35 18684 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,equivalent(A,equivalent(C,C))))). [hyper(3,a,3397,a,b,15239,a)].
% 12.05/12.35 21601 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(B,C)),C),A)). [hyper(3,a,3397,a,b,17448,a)].
% 12.05/12.35 22810 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),C),B)). [hyper(3,a,3397,a,b,17455,a)].
% 12.05/12.35 22905 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(B,C)),C))). [hyper(3,a,3397,a,b,17856,a)].
% 12.05/12.35 25123 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))). [hyper(3,a,22810,a,b,22810,a)].
% 12.05/12.35 25225 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,22810,a,b,21601,a)].
% 12.05/12.35 25255 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),equivalent(A,C)),C)). [hyper(3,a,14190,a,b,25123,a)].
% 12.05/12.35 25610 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),B)),C),C)). [hyper(3,a,25123,a,b,25225,a)].
% 12.05/12.35 25632 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),A),equivalent(B,C)),C)). [hyper(3,a,14190,a,b,25225,a)].
% 12.05/12.35 26073 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,938,a,b,22905,a)].
% 12.05/12.35 26346 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,A),equivalent(C,C)))). [hyper(3,a,18684,a,b,26073,a)].
% 12.05/12.35 26367 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)). [hyper(3,a,14190,a,b,26073,a)].
% 12.05/12.35 30502 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),C),equivalent(A,B)))). [hyper(3,a,25255,a,b,4,a)].
% 12.05/12.35 33311 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),B),equivalent(A,C)))). [hyper(3,a,25632,a,b,4,a)].
% 12.05/12.35 35362 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),A),B),equivalent(C,C))). [hyper(3,a,25610,a,b,26346,a)].
% 12.05/12.35 35606 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))). [hyper(3,a,26073,a,b,26367,a)].
% 12.05/12.35 35690 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(C,equivalent(B,A))))). [hyper(3,a,26367,a,b,17451,a)].
% 12.05/12.35 36170 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),equivalent(C,A)),C)). [hyper(3,a,26073,a,b,30502,a)].
% 12.05/12.35 36436 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),A),equivalent(C,B)),C)). [hyper(3,a,26073,a,b,33311,a)].
% 12.05/12.35 37138 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,A),B),C)),C)). [hyper(3,a,3397,a,b,35362,a)].
% 12.05/12.35 37281 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,A))),equivalent(C,B))). [hyper(3,a,3397,a,b,35606,a)].
% 12.05/12.35 37765 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(A,B))). [hyper(3,a,3397,a,b,35690,a)].
% 12.05/12.35 41104 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),C),equivalent(C,A))). [hyper(3,a,36170,a,b,22905,a)].
% 12.05/12.35 41880 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),A),C),equivalent(C,B))). [hyper(3,a,36436,a,b,22905,a)].
% 12.05/12.35 44343 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(B,C))),A),C)). [hyper(3,a,37138,a,b,17455,a)].
% 12.05/12.35 45285 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(B,equivalent(A,C))))). [hyper(3,a,26073,a,b,37281,a)].
% 12.05/12.35 47173 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,A),C)),C),B)). [hyper(3,a,41104,a,b,14190,a)].
% 12.05/12.35 47389 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),C),B)). [hyper(3,a,41880,a,b,14190,a)].
% 12.05/12.35 49914 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(C,B))),A)). [hyper(3,a,37765,a,b,44343,a)].
% 12.05/12.35 52393 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,C),A))),C)). [hyper(3,a,41880,a,b,45285,a)].
% 12.05/12.35 52485 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(A,C))),equivalent(C,B))). [hyper(3,a,545,a,b,45285,a)].
% 12.05/12.35 64693 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,B),equivalent(A,C))))). [hyper(3,a,1,a,b,47173,a)].
% 12.05/12.35 65765 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,C),equivalent(A,C))))). [hyper(3,a,1,a,b,47389,a)].
% 12.05/12.35 70920 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(A,B)),C),equivalent(C,B))). [hyper(3,a,49914,a,b,21601,a)].
% 12.05/12.35 74997 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(B,equivalent(C,A))))). [hyper(3,a,26073,a,b,52485,a)].
% 12.05/12.35 83491 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,B),A))). [hyper(3,a,26367,a,b,64693,a)].
% 12.05/12.35 84033 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(B,A),C))). [hyper(3,a,26367,a,b,65765,a)].
% 12.05/12.35 87605 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(A,B))),C)). [hyper(3,a,70920,a,b,74997,a)].
% 12.05/12.35 132031 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,A)),C),B)). [hyper(3,a,84033,a,b,87605,a)].
% 12.05/12.35 145240 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B)))). [hyper(3,a,1,a,b,132031,a)].
% 12.05/12.35 164250 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(A,C)))). [hyper(3,a,3397,a,b,145240,a)].
% 12.05/12.35 173902 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,C),B))). [hyper(3,a,83491,a,b,164250,a)].
% 12.05/12.35 176136 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A)))). [hyper(3,a,173902,a,b,52393,a)].
% 12.05/12.35 176137 $F # answer(prove_yro). [resolve(176136,a,2,a)].
% 12.05/12.35
% 12.05/12.35 % SZS output end Refutation
% 12.05/12.35 ============================== end of proof ==========================
% 12.05/12.35
% 12.05/12.35 ============================== STATISTICS ============================
% 12.05/12.35
% 12.05/12.35 Given=920. Generated=481683. Kept=176136. proofs=1.
% 12.05/12.35 Usable=920. Sos=9999. Demods=0. Limbo=327, Disabled=164892. Hints=0.
% 12.05/12.35 Megabytes=84.42.
% 12.05/12.35 User_CPU=11.15, System_CPU=0.26, Wall_clock=11.
% 12.05/12.35
% 12.05/12.35 ============================== end of statistics =====================
% 12.05/12.35
% 12.05/12.35 ============================== end of search =========================
% 12.05/12.35
% 12.05/12.35 THEOREM PROVED
% 12.05/12.35 % SZS status Unsatisfiable
% 12.05/12.35
% 12.05/12.35 Exiting with 1 proof.
% 12.05/12.35
% 12.05/12.35 Process 24959 exit (max_proofs) Sat Jul 2 15:57:52 2022
% 12.05/12.35 Prover9 interrupted
%------------------------------------------------------------------------------