TSTP Solution File: LCL167-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL167-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 13:44:29 EDT 2022
% Result : Unsatisfiable 47.45s 47.74s
% Output : Refutation 47.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL167-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n009.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 : Tue Jul 5 00:18:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 47.45/47.74 ============================== Prover9 ===============================
% 47.45/47.74 Prover9 (32) version 2009-11A, November 2009.
% 47.45/47.74 Process 5008 was started by sandbox on n009.cluster.edu,
% 47.45/47.74 Tue Jul 5 00:18:08 2022
% 47.45/47.74 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4854_n009.cluster.edu".
% 47.45/47.74 ============================== end of head ===========================
% 47.45/47.74
% 47.45/47.74 ============================== INPUT =================================
% 47.45/47.74
% 47.45/47.74 % Reading from file /tmp/Prover9_4854_n009.cluster.edu
% 47.45/47.74
% 47.45/47.74 set(prolog_style_variables).
% 47.45/47.74 set(auto2).
% 47.45/47.74 % set(auto2) -> set(auto).
% 47.45/47.74 % set(auto) -> set(auto_inference).
% 47.45/47.74 % set(auto) -> set(auto_setup).
% 47.45/47.74 % set(auto_setup) -> set(predicate_elim).
% 47.45/47.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 47.45/47.74 % set(auto) -> set(auto_limits).
% 47.45/47.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 47.45/47.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 47.45/47.74 % set(auto) -> set(auto_denials).
% 47.45/47.74 % set(auto) -> set(auto_process).
% 47.45/47.74 % set(auto2) -> assign(new_constants, 1).
% 47.45/47.74 % set(auto2) -> assign(fold_denial_max, 3).
% 47.45/47.74 % set(auto2) -> assign(max_weight, "200.000").
% 47.45/47.74 % set(auto2) -> assign(max_hours, 1).
% 47.45/47.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 47.45/47.74 % set(auto2) -> assign(max_seconds, 0).
% 47.45/47.74 % set(auto2) -> assign(max_minutes, 5).
% 47.45/47.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 47.45/47.74 % set(auto2) -> set(sort_initial_sos).
% 47.45/47.74 % set(auto2) -> assign(sos_limit, -1).
% 47.45/47.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 47.45/47.74 % set(auto2) -> assign(max_megs, 400).
% 47.45/47.74 % set(auto2) -> assign(stats, some).
% 47.45/47.74 % set(auto2) -> clear(echo_input).
% 47.45/47.74 % set(auto2) -> set(quiet).
% 47.45/47.74 % set(auto2) -> clear(print_initial_clauses).
% 47.45/47.74 % set(auto2) -> clear(print_given).
% 47.45/47.74 assign(lrs_ticks,-1).
% 47.45/47.74 assign(sos_limit,10000).
% 47.45/47.74 assign(order,kbo).
% 47.45/47.74 set(lex_order_vars).
% 47.45/47.74 clear(print_given).
% 47.45/47.74
% 47.45/47.74 % formulas(sos). % not echoed (3 formulas)
% 47.45/47.74
% 47.45/47.74 ============================== end of input ==========================
% 47.45/47.74
% 47.45/47.74 % From the command line: assign(max_seconds, 300).
% 47.45/47.74
% 47.45/47.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 47.45/47.74
% 47.45/47.74 % Formulas that are not ordinary clauses:
% 47.45/47.74
% 47.45/47.74 ============================== end of process non-clausal formulas ===
% 47.45/47.74
% 47.45/47.74 ============================== PROCESS INITIAL CLAUSES ===============
% 47.45/47.74
% 47.45/47.74 ============================== PREDICATE ELIMINATION =================
% 47.45/47.74
% 47.45/47.74 ============================== end predicate elimination =============
% 47.45/47.74
% 47.45/47.74 Auto_denials:
% 47.45/47.74 % copying label prove_yro to answer in negative clause
% 47.45/47.74
% 47.45/47.74 Term ordering decisions:
% 47.45/47.74 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 47.45/47.74
% 47.45/47.74 ============================== end of process initial clauses ========
% 47.45/47.74
% 47.45/47.74 ============================== CLAUSES FOR SEARCH ====================
% 47.45/47.74
% 47.45/47.74 ============================== end of clauses for search =============
% 47.45/47.74
% 47.45/47.74 ============================== SEARCH ================================
% 47.45/47.74
% 47.45/47.74 % Starting search at 0.01 seconds.
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=88.000, iters=3351
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=84.000, iters=3341
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=76.000, iters=3393
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=72.000, iters=3335
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=68.000, iters=3408
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=64.000, iters=3394
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=60.000, iters=3380
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=56.000, iters=3341
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=52.000, iters=3393
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=48.000, iters=3343
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=44.000, iters=3344
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=40.000, iters=3347
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=36.000, iters=3495
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=4941, wt=96.000
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=10337, wt=32.000
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=10352, wt=28.000
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=32.000, iters=3353
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=10987, wt=24.000
% 47.45/47.74
% 47.45/47.74 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 2.55 sec).
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=13546, wt=20.000
% 47.45/47.74
% 47.45/47.74 Low Water (displace): id=13548, wt=16.000
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=28.000, iters=3359
% 47.45/47.74
% 47.45/47.74 Low Water (keep): wt=24.000, iters=3382
% 47.45/47.74
% 47.45/47.74 ============================== PROOF =================================
% 47.45/47.74 % SZS status Unsatisfiable
% 47.45/47.74 % SZS output start Refutation
% 47.45/47.74
% 47.45/47.74 % Proof 1 at 42.67 (+ 4.12) seconds: prove_yro.
% 47.45/47.74 % Length of proof is 105.
% 47.45/47.74 % Level of proof is 40.
% 47.45/47.74 % Maximum clause weight is 52.000.
% 47.45/47.74 % Given clauses 5241.
% 47.45/47.74
% 47.45/47.74 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B)))) # label(xhk) # label(axiom). [assumption].
% 47.45/47.74 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].
% 47.45/47.74 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 47.45/47.74 4 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),B),A))). [hyper(3,a,1,a,b,1,a)].
% 47.45/47.74 5 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),V6),V7)),equivalent(V7,V6))). [hyper(3,a,4,a,b,4,a)].
% 47.45/47.74 6 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(E,V6),F))),D),C)),B),A))). [hyper(3,a,1,a,b,4,a)].
% 47.45/47.74 7 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(D,E),equivalent(equivalent(F,E),D))),F)). [hyper(3,a,4,a,b,1,a)].
% 47.45/47.74 9 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),equivalent(equivalent(F,V6),equivalent(equivalent(V7,V6),F))),V7),B),A))). [hyper(3,a,1,a,b,7,a)].
% 47.45/47.74 12 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,F),equivalent(equivalent(equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V6,V8),V7))),F),E)),D),C)),B),A))). [hyper(3,a,1,a,b,6,a)].
% 47.45/47.74 15 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),B),A)),equivalent(equivalent(F,V6),equivalent(equivalent(V7,V6),F))),V7)). [hyper(3,a,6,a,b,1,a)].
% 47.45/47.74 20 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),B),A)),F)). [hyper(3,a,5,a,b,7,a)].
% 47.45/47.74 23 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),equivalent(equivalent(E,F),equivalent(equivalent(equivalent(equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V6,V8),V7))),D),F),E)))). [hyper(3,a,4,a,b,20,a)].
% 47.45/47.74 24 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(E,V6),F))),V7),D),C)),V7),B),A))). [hyper(3,a,1,a,b,20,a)].
% 47.45/47.74 41 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),B),A)),equivalent(equivalent(equivalent(equivalent(equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(F,V7),V6))),equivalent(equivalent(V8,V9),equivalent(equivalent(V10,V9),V8))),V10),V11),V12)),equivalent(V12,V11))). [hyper(3,a,6,a,b,9,a)].
% 47.45/47.74 50 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(D,E),equivalent(equivalent(F,E),D))),F),equivalent(equivalent(equivalent(V6,equivalent(equivalent(V7,V8),equivalent(equivalent(V6,V8),V7))),V9),V10)),equivalent(V10,V9))). [hyper(3,a,9,a,b,4,a)].
% 47.45/47.74 73 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(equivalent(equivalent(equivalent(D,E),equivalent(equivalent(equivalent(equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(F,V7),V6))),V8),E),D)),V8),V9),V10)),equivalent(V10,V9))). [hyper(3,a,4,a,b,24,a)].
% 47.45/47.74 119 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(E,equivalent(equivalent(F,V6),equivalent(equivalent(E,V6),F))),D),C)),B),A)),equivalent(equivalent(V7,V8),equivalent(equivalent(V9,V8),V7))),V9)). [hyper(3,a,12,a,b,1,a)].
% 47.45/47.74 135 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),D),equivalent(equivalent(E,F),equivalent(equivalent(V6,F),E))),V6)). [hyper(3,a,20,a,b,23,a)].
% 47.45/47.74 162 is_a_theorem(equivalent(A,A)). [hyper(3,a,5,a,b,135,a)].
% 47.45/47.74 165 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),D)). [hyper(3,a,135,a,b,1,a)].
% 47.45/47.74 170 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A))). [hyper(3,a,1,a,b,162,a)].
% 47.45/47.74 171 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,B),C),D)),equivalent(D,C))). [hyper(3,a,170,a,b,170,a)].
% 47.45/47.74 178 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(equivalent(D,D),E),F)),equivalent(F,E))). [hyper(3,a,4,a,b,170,a)].
% 47.45/47.74 179 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(E,E),D),C)),B),A))). [hyper(3,a,1,a,b,170,a)].
% 47.45/47.74 180 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),B)). [hyper(3,a,170,a,b,162,a)].
% 47.45/47.74 222 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,C),B))). [hyper(3,a,170,a,b,180,a)].
% 47.45/47.74 231 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),equivalent(equivalent(E,E),D))). [hyper(3,a,4,a,b,180,a)].
% 47.45/47.74 232 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),D),B),A))). [hyper(3,a,1,a,b,180,a)].
% 47.45/47.74 234 is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))). [hyper(3,a,180,a,b,222,a)].
% 47.45/47.74 247 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),equivalent(equivalent(E,E),D)),B),A))). [hyper(3,a,1,a,b,222,a)].
% 47.45/47.74 269 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),equivalent(D,D)),B),A))). [hyper(3,a,1,a,b,234,a)].
% 47.45/47.74 325 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(D,E)),equivalent(equivalent(F,F),equivalent(equivalent(equivalent(V6,V6),E),D)))). [hyper(3,a,4,a,b,171,a)].
% 47.45/47.74 543 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),D),E),F)),equivalent(F,E))). [hyper(3,a,269,a,b,232,a)].
% 47.45/47.74 570 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),V6)),equivalent(V6,F))). [hyper(3,a,269,a,b,4,a)].
% 47.45/47.74 1208 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(equivalent(D,D),C),B)),E),F)),equivalent(F,E))). [hyper(3,a,170,a,b,179,a)].
% 47.45/47.74 1259 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A)),equivalent(equivalent(D,D),E)),equivalent(equivalent(F,F),E))). [hyper(3,a,179,a,b,222,a)].
% 47.45/47.74 1363 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A)),equivalent(equivalent(D,D),E)),equivalent(equivalent(F,equivalent(equivalent(V6,V7),equivalent(equivalent(F,V7),V6))),E))). [hyper(3,a,179,a,b,231,a)].
% 47.45/47.74 1487 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,C),B)),equivalent(equivalent(equivalent(equivalent(D,E),equivalent(equivalent(equivalent(F,F),E),D)),V6),V7)),equivalent(V7,V6))). [hyper(3,a,247,a,b,179,a)].
% 47.45/47.74 1519 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,C),B)),equivalent(equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),V6),V7)),equivalent(V7,V6))). [hyper(3,a,247,a,b,4,a)].
% 47.45/47.74 9790 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),C),C))). [hyper(3,a,171,a,b,178,a)].
% 47.45/47.74 9793 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),equivalent(equivalent(C,D),equivalent(equivalent(E,D),C))),E))). [hyper(3,a,50,a,b,178,a)].
% 47.45/47.74 9878 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(equivalent(equivalent(D,D),C),E),E)),B),A))). [hyper(3,a,1,a,b,9790,a)].
% 47.45/47.74 10764 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,B),C),equivalent(equivalent(D,E),equivalent(equivalent(F,E),D))),F)),C)). [hyper(3,a,170,a,b,9793,a)].
% 47.45/47.74 12960 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,B),equivalent(equivalent(C,C),D)),E),E),D))). [hyper(3,a,1259,a,b,9878,a)].
% 47.45/47.74 12987 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))). [hyper(3,a,543,a,b,12960,a)].
% 47.45/47.74 12995 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,equivalent(equivalent(C,C),B))),D),D)). [hyper(3,a,9790,a,b,12987,a)].
% 47.45/47.74 13044 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),C)),B),A))). [hyper(3,a,1,a,b,12987,a)].
% 47.45/47.74 13776 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),E)),E)). [hyper(3,a,119,a,b,12995,a)].
% 47.45/47.74 13922 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(B,C),equivalent(equivalent(equivalent(D,equivalent(equivalent(E,E),D)),C),B)))). [hyper(3,a,12987,a,b,13044,a)].
% 47.45/47.74 14043 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),B)),D),D))). [hyper(3,a,222,a,b,13044,a)].
% 47.45/47.74 14044 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),A)),C),C)). [hyper(3,a,180,a,b,13044,a)].
% 47.45/47.74 14787 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(B,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),C)),E),E)))). [hyper(3,a,12987,a,b,14043,a)].
% 47.45/47.74 16774 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),A)),equivalent(equivalent(C,D),equivalent(equivalent(E,D),C))),E)). [hyper(3,a,13776,a,b,13922,a)].
% 47.45/47.74 18260 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),A)),B)). [hyper(3,a,16774,a,b,73,a)].
% 47.45/47.74 19199 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),A)),C),C),D),D)). [hyper(3,a,10764,a,b,14787,a)].
% 47.45/47.74 19218 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),C)),E),E),B),A))). [hyper(3,a,165,a,b,19199,a)].
% 47.45/47.74 19262 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),A)),C),C),equivalent(equivalent(D,D),E)),E)). [hyper(3,a,14044,a,b,19218,a)].
% 47.45/47.74 19283 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),B)),D),E)),equivalent(E,D))). [hyper(3,a,19262,a,b,325,a)].
% 47.45/47.74 20421 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,C),A)),B)). [hyper(3,a,15,a,b,1363,a)].
% 47.45/47.74 20454 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C))). [hyper(3,a,12987,a,b,20421,a)].
% 47.45/47.74 20474 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),equivalent(equivalent(D,D),C)))). [hyper(3,a,170,a,b,20421,a)].
% 47.45/47.74 20506 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(equivalent(D,D),equivalent(C,B)))). [hyper(3,a,1208,a,b,20454,a)].
% 47.45/47.74 20508 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(D,D),C))). [hyper(3,a,570,a,b,20454,a)].
% 47.45/47.74 20716 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C)),equivalent(equivalent(E,E),A))). [hyper(3,a,20474,a,b,20454,a)].
% 47.45/47.74 20859 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),B))). [hyper(3,a,20508,a,b,20508,a)].
% 47.45/47.74 20861 is_a_theorem(equivalent(equivalent(equivalent(A,B),B),A)). [hyper(3,a,20421,a,b,20508,a)].
% 47.45/47.74 20866 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),equivalent(equivalent(E,E),D)))). [hyper(3,a,12987,a,b,20508,a)].
% 47.45/47.74 21041 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,C),C))). [hyper(3,a,170,a,b,20861,a)].
% 47.45/47.74 21043 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),D),C),B),A))). [hyper(3,a,1,a,b,20861,a)].
% 47.45/47.74 21199 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),A),C),C)). [hyper(3,a,21041,a,b,20859,a)].
% 47.45/47.74 22874 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),A),C),equivalent(equivalent(C,D),D))). [hyper(3,a,21199,a,b,21043,a)].
% 47.45/47.74 25185 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),D),C),B),A)),E),E)). [hyper(3,a,165,a,b,22874,a)].
% 47.45/47.74 27677 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D))). [hyper(3,a,19283,a,b,20866,a)].
% 47.45/47.74 27691 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(E,D),C))),E))). [hyper(3,a,570,a,b,20866,a)].
% 47.45/47.74 27705 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D),B))). [hyper(3,a,20506,a,b,27677,a)].
% 47.45/47.74 27998 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))). [hyper(3,a,570,a,b,27705,a)].
% 47.45/47.74 28376 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(C,D),D)),B),A))). [hyper(3,a,1,a,b,27998,a)].
% 47.45/47.74 29787 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(D,D),B)))). [hyper(3,a,20716,a,b,28376,a)].
% 47.45/47.74 30144 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),equivalent(equivalent(C,C),A)),D),D)). [hyper(3,a,21041,a,b,29787,a)].
% 47.45/47.74 30150 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,D),equivalent(equivalent(B,D),C)))). [hyper(3,a,1519,a,b,29787,a)].
% 47.45/47.74 30152 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(B,C)),equivalent(equivalent(equivalent(D,D),C),B))). [hyper(3,a,1487,a,b,29787,a)].
% 47.45/47.74 30196 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),D))). [hyper(3,a,20506,a,b,30150,a)].
% 47.45/47.74 30202 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,B),C),D),equivalent(D,C)))). [hyper(3,a,20506,a,b,30152,a)].
% 47.45/47.74 30212 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C)). [hyper(3,a,30144,a,b,30196,a)].
% 47.45/47.74 30225 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C),D),D)). [hyper(3,a,21041,a,b,30196,a)].
% 47.45/47.74 30256 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,C)),C),B)). [hyper(3,a,20421,a,b,30212,a)].
% 47.45/47.74 30373 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(C,B))). [hyper(3,a,30256,a,b,30202,a)].
% 47.45/47.74 32043 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(D,C),B))),D),A)). [hyper(3,a,30373,a,b,27691,a)].
% 47.45/47.74 32050 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)). [hyper(3,a,30225,a,b,32043,a)].
% 47.45/47.74 32198 is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),B),C))). [hyper(3,a,12987,a,b,32050,a)].
% 47.45/47.74 32216 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),C))). [hyper(3,a,170,a,b,32050,a)].
% 47.45/47.74 32218 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),C),D),B),A))). [hyper(3,a,1,a,b,32050,a)].
% 47.45/47.74 32513 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),B),C)),A)). [hyper(3,a,32216,a,b,32198,a)].
% 47.45/47.75 32527 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),D)),A)). [hyper(3,a,32216,a,b,30225,a)].
% 47.45/47.75 34755 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,32513,a,b,32218,a)].
% 47.45/47.75 36982 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(equivalent(B,C),C)))). [hyper(3,a,25185,a,b,32527,a)].
% 47.45/47.75 36993 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(equivalent(C,B),C)))). [hyper(3,a,32527,a,b,32218,a)].
% 47.45/47.75 37105 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,C),equivalent(equivalent(C,D),D)))),A)). [hyper(3,a,34755,a,b,36982,a)].
% 47.45/47.75 37199 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,C),equivalent(equivalent(D,C),D)))),A)). [hyper(3,a,34755,a,b,36993,a)].
% 47.45/47.75 39857 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(C,D),D))). [hyper(3,a,41,a,b,37105,a)].
% 47.45/47.75 40078 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(D,C),D))). [hyper(3,a,41,a,b,37199,a)].
% 47.45/47.75 41798 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),equivalent(C,B))). [hyper(3,a,18260,a,b,39857,a)].
% 47.45/47.75 47792 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,32050,a,b,40078,a)].
% 47.45/47.75 47992 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A)))). [hyper(3,a,47792,a,b,41798,a)].
% 47.45/47.75 47993 $F # answer(prove_yro). [resolve(47992,a,2,a)].
% 47.45/47.75
% 47.45/47.75 % SZS output end Refutation
% 47.45/47.75 ============================== end of proof ==========================
% 47.45/47.75
% 47.45/47.75 ============================== STATISTICS ============================
% 47.45/47.75
% 47.45/47.75 Given=5241. Generated=8587761. Kept=47992. proofs=1.
% 47.45/47.75 Usable=5241. Sos=9999. Demods=0. Limbo=193, Disabled=32561. Hints=0.
% 47.45/47.75 Megabytes=31.72.
% 47.45/47.75 User_CPU=42.67, System_CPU=4.12, Wall_clock=46.
% 47.45/47.75
% 47.45/47.75 ============================== end of statistics =====================
% 47.45/47.75
% 47.45/47.75 ============================== end of search =========================
% 47.45/47.75
% 47.45/47.75 THEOREM PROVED
% 47.45/47.75 % SZS status Unsatisfiable
% 47.45/47.75
% 47.45/47.75 Exiting with 1 proof.
% 47.45/47.75
% 47.45/47.75 Process 5008 exit (max_proofs) Tue Jul 5 00:18:54 2022
% 47.45/47.75 Prover9 interrupted
%------------------------------------------------------------------------------