TSTP Solution File: LCL167-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL167-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 14:28:17 EDT 2022
% Result : Unsatisfiable 190.07s 190.34s
% Output : Refutation 190.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL167-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 5 00:32:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.34 ----- Otter 3.2, August 2001 -----
% 0.17/0.34 The process was started by sandbox on n027.cluster.edu,
% 0.17/0.34 Tue Jul 5 00:32:56 2022
% 0.17/0.34 The command was "./sos". The process ID is 15637.
% 0.17/0.34
% 0.17/0.34 set(prolog_style_variables).
% 0.17/0.34 set(auto).
% 0.17/0.34 dependent: set(auto1).
% 0.17/0.34 dependent: set(process_input).
% 0.17/0.34 dependent: clear(print_kept).
% 0.17/0.34 dependent: clear(print_new_demod).
% 0.17/0.34 dependent: clear(print_back_demod).
% 0.17/0.34 dependent: clear(print_back_sub).
% 0.17/0.34 dependent: set(control_memory).
% 0.17/0.34 dependent: assign(max_mem, 12000).
% 0.17/0.34 dependent: assign(pick_given_ratio, 4).
% 0.17/0.34 dependent: assign(stats_level, 1).
% 0.17/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.17/0.34 dependent: assign(sos_limit, 5000).
% 0.17/0.34 dependent: assign(max_weight, 60).
% 0.17/0.34 clear(print_given).
% 0.17/0.34
% 0.17/0.34 list(usable).
% 0.17/0.34
% 0.17/0.34 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.17/0.34
% 0.17/0.34 This is a Horn set without equality. The strategy will
% 0.17/0.34 be hyperresolution, with satellites in sos and nuclei
% 0.17/0.34 in usable.
% 0.17/0.34
% 0.17/0.34 dependent: set(hyper_res).
% 0.17/0.34 dependent: clear(order_hyper).
% 0.17/0.34
% 0.17/0.34 ------------> process usable:
% 0.17/0.34
% 0.17/0.34 ------------> process sos:
% 0.17/0.34
% 0.17/0.34 ======= end of input processing =======
% 0.17/0.36
% 0.17/0.36 Model 1 (0.00 seconds, 0 Inserts)
% 0.17/0.36
% 0.17/0.36 Stopped by limit on number of solutions
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 -------------- Softie stats --------------
% 0.17/0.36
% 0.17/0.36 UPDATE_STOP: 300
% 0.17/0.36 SFINDER_TIME_LIMIT: 2
% 0.17/0.36 SHORT_CLAUSE_CUTOFF: 4
% 0.17/0.36 number of clauses in intial UL: 2
% 0.17/0.36 number of clauses initially in problem: 3
% 0.17/0.36 percentage of clauses intially in UL: 66
% 0.17/0.36 percentage of distinct symbols occuring in initial UL: 100
% 0.17/0.36 percent of all initial clauses that are short: 100
% 0.17/0.36 absolute distinct symbol count: 5
% 0.17/0.36 distinct predicate count: 1
% 0.17/0.36 distinct function count: 1
% 0.17/0.36 distinct constant count: 3
% 0.17/0.36
% 0.17/0.36 ---------- no more Softie stats ----------
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 =========== start of search ===========
% 9.94/10.19
% 9.94/10.19
% 9.94/10.19 Changing weight limit from 60 to 56.
% 9.94/10.19
% 9.94/10.19 Model 2 (0.00 seconds, 0 Inserts)
% 9.94/10.19
% 9.94/10.19 Stopped by limit on number of solutions
% 9.94/10.19
% 9.94/10.19 Model 3 (0.00 seconds, 0 Inserts)
% 9.94/10.19
% 9.94/10.19 Stopped by limit on number of solutions
% 9.94/10.19
% 9.94/10.19 Resetting weight limit to 56 after 125 givens.
% 9.94/10.19
% 10.43/10.69
% 10.43/10.69
% 10.43/10.69 Changing weight limit from 56 to 52.
% 10.43/10.69
% 10.43/10.69 Resetting weight limit to 52 after 130 givens.
% 10.43/10.69
% 55.12/55.32
% 55.12/55.32
% 55.12/55.32 Changing weight limit from 52 to 48.
% 55.12/55.32
% 55.12/55.32 Modelling stopped after 300 given clauses and 0.00 seconds
% 55.12/55.32
% 55.12/55.32
% 55.12/55.32 Resetting weight limit to 48 after 365 givens.
% 55.12/55.32
% 56.93/57.12
% 56.93/57.12
% 56.93/57.12 Changing weight limit from 48 to 44.
% 56.93/57.12
% 56.93/57.12 Resetting weight limit to 44 after 370 givens.
% 56.93/57.12
% 57.69/57.92
% 57.69/57.92
% 57.69/57.92 Changing weight limit from 44 to 40.
% 57.69/57.92
% 57.69/57.92 Resetting weight limit to 40 after 375 givens.
% 57.69/57.92
% 59.33/59.59
% 59.33/59.59
% 59.33/59.59 Changing weight limit from 40 to 36.
% 59.33/59.59
% 59.33/59.59 Resetting weight limit to 36 after 380 givens.
% 59.33/59.59
% 65.24/65.48
% 65.24/65.48
% 65.24/65.48 Changing weight limit from 36 to 32.
% 65.24/65.48
% 65.24/65.48 Resetting weight limit to 32 after 410 givens.
% 65.24/65.48
% 70.02/70.28
% 70.02/70.28
% 70.02/70.28 Changing weight limit from 32 to 28.
% 70.02/70.28
% 70.02/70.28 Resetting weight limit to 28 after 700 givens.
% 70.02/70.28
% 136.39/136.61
% 136.39/136.61
% 136.39/136.61 Changing weight limit from 28 to 24.
% 136.39/136.61
% 136.39/136.61 Resetting weight limit to 24 after 4460 givens.
% 136.39/136.61
% 190.07/190.34
% 190.07/190.34 -- HEY sandbox, WE HAVE A PROOF!! --
% 190.07/190.34
% 190.07/190.34 ----> UNIT CONFLICT at 186.24 sec ----> 419642 [binary,419641.1,2.1] {-} $F.
% 190.07/190.34
% 190.07/190.34 Length of proof is 96. Level of proof is 46.
% 190.07/190.34
% 190.07/190.34 ---------------- PROOF ----------------
% 190.07/190.34 % SZS status Unsatisfiable
% 190.07/190.34 % SZS output start Refutation
% 190.07/190.34
% 190.07/190.34 1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 190.07/190.34 2 [] {+} -is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))).
% 190.07/190.34 3 [] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B)))).
% 190.07/190.34 4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),B),A))).
% 190.07/190.34 5 [hyper,4,1,4] {-} 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))),G),H)),equivalent(H,G))).
% 190.07/190.34 7 [hyper,4,1,3] {-} 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)).
% 190.07/190.34 20 [hyper,5,1,7] {-} 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)).
% 190.07/190.34 33 [hyper,20,1,4] {-} 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(G,equivalent(equivalent(H,I),equivalent(equivalent(G,I),H))),D),F),E)))).
% 190.07/190.34 34 [hyper,20,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,equivalent(equivalent(F,G),equivalent(equivalent(E,G),F))),H),D),C)),H),B),A))).
% 190.07/190.34 87 [hyper,34,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),B),A)),F),equivalent(equivalent(G,H),equivalent(equivalent(I,H),G))),I)).
% 190.07/190.34 125 [hyper,33,1,20] {-} 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(G,F),E))),G)).
% 190.07/190.34 150 [hyper,125,1,5] {+} is_a_theorem(equivalent(A,A)).
% 190.07/190.34 153 [hyper,125,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),D)).
% 190.07/190.34 158 [hyper,150,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A))).
% 190.07/190.34 165 [hyper,158,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,B),C),D)),equivalent(D,C))).
% 190.07/190.34 173 [hyper,158,1,4] {-} 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))).
% 190.07/190.34 174 [hyper,158,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(E,E),D),C)),B),A))).
% 190.07/190.34 175 [hyper,158,1,150] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),B)).
% 190.07/190.34 194 [hyper,158,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),E),F)),equivalent(F,E))).
% 190.07/190.34 196 [hyper,175,1,158] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,C),B))).
% 190.07/190.34 206 [hyper,175,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),D),B),A))).
% 190.07/190.34 215 [hyper,196,1,175] {+} is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))).
% 190.07/190.34 259 [hyper,165,1,153] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),equivalent(C,C)),B)).
% 190.07/190.34 270 [hyper,165,1,153] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),D),B),A)),D)).
% 190.07/190.34 287 [hyper,215,1,158] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),equivalent(C,C))).
% 190.07/190.34 293 [hyper,215,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),equivalent(D,D)),B),A))).
% 190.07/190.34 318 [hyper,206,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,B),C),C),D),E)),equivalent(E,D))).
% 190.07/190.34 419 [hyper,270,1,259] {+} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),C),C)).
% 190.07/190.34 428 [hyper,270,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,E),F),D),C)),F),B),A))).
% 190.07/190.34 482 [hyper,293,1,4] {-} 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),G)),equivalent(G,F))).
% 190.07/190.34 517 [hyper,174,1,175] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A)),D),D)).
% 190.07/190.34 519 [hyper,174,1,158] {-} 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))).
% 190.07/190.34 613 [hyper,287,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),equivalent(D,D)),equivalent(E,E)),B),A))).
% 190.07/190.34 755 [hyper,419,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(C,C),equivalent(D,D)),E),E),B),A))).
% 190.07/190.34 2333 [hyper,613,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,B),equivalent(C,C)),equivalent(D,D)),E),F)),equivalent(F,E))).
% 190.07/190.34 3030 [hyper,755,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(B,B),equivalent(C,C)),D),D),E),F)),equivalent(F,E))).
% 190.07/190.34 4881 [hyper,173,1,318] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),C),equivalent(equivalent(D,D),C)))).
% 190.07/190.34 4893 [hyper,173,1,165] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),C),C))).
% 190.07/190.34 4984 [hyper,4893,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(equivalent(equivalent(D,D),C),E),E)),B),A))).
% 190.07/190.34 6541 [hyper,4984,1,517] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),C),C)),equivalent(equivalent(equivalent(D,D),E),F)),equivalent(F,E))).
% 190.07/190.34 12704 [hyper,428,1,175] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),D),B),A)),D),E),E)).
% 190.07/190.34 38850 [hyper,6541,1,3030] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))).
% 190.07/190.34 38874 [hyper,6541,1,194] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(equivalent(equivalent(D,D),equivalent(equivalent(E,E),A)),C),B)))).
% 190.07/190.34 38939 [hyper,38850,1,4881] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,equivalent(equivalent(C,C),B))),D),equivalent(equivalent(E,E),D))).
% 190.07/190.34 39001 [hyper,38850,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),C)),B),A))).
% 190.07/190.34 39921 [hyper,39001,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),B)),D),E)),equivalent(E,D))).
% 190.07/190.34 41179 [hyper,38874,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,C),equivalent(equivalent(equivalent(equivalent(D,D),equivalent(equivalent(E,E),F)),C),B))),F)).
% 190.07/190.34 44104 [hyper,39921,1,38939] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,B),equivalent(equivalent(C,equivalent(equivalent(D,D),C)),E)),E))).
% 190.07/190.34 46803 [hyper,44104,1,2333] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,C),B)),A))).
% 190.07/190.34 46979 [hyper,46803,1,87] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),A))).
% 190.07/190.34 47431 [hyper,46979,1,87] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),A)),B)).
% 190.07/190.34 49113 [hyper,47431,1,38850] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),B)),C))).
% 190.07/190.34 49114 [hyper,47431,1,12704] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),equivalent(E,F))),F),E)).
% 190.07/190.34 119040 [hyper,49113,1,519] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),equivalent(C,B)))).
% 190.07/190.34 119044 [hyper,49114,1,41179] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,B),C)),equivalent(equivalent(D,E),equivalent(equivalent(C,E),D)))).
% 190.07/190.34 164518 [hyper,119040,1,7] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,C),A)),B)).
% 190.07/190.34 164695 [hyper,164518,1,38850] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C))).
% 190.07/190.34 164790 [hyper,164518,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),equivalent(equivalent(D,D),C)))).
% 190.07/190.34 164979 [hyper,164695,1,519] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(equivalent(D,D),equivalent(C,B)))).
% 190.07/190.34 164980 [hyper,164695,1,482] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(D,D),C))).
% 190.07/190.34 165511 [hyper,164790,1,164695] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C)),equivalent(equivalent(E,E),A))).
% 190.07/190.34 167931 [hyper,164979,1,119044] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),equivalent(equivalent(E,E),D)))).
% 190.07/190.34 168637 [hyper,164980,1,164518] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),B),A)).
% 190.07/190.34 169050 [hyper,168637,1,158] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,C),C))).
% 190.07/190.34 169053 [hyper,168637,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),D),C),B),A))).
% 190.07/190.34 175348 [hyper,169053,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,C),C),B),D),E)),equivalent(E,D))).
% 190.07/190.34 211593 [hyper,167931,1,39921] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D))).
% 190.07/190.34 211629 [hyper,167931,1,482] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(E,D),C))),E))).
% 190.07/190.34 218442 [hyper,211593,1,164979] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D),B))).
% 190.07/190.34 219536 [hyper,218442,1,482] {-} is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))).
% 190.07/190.34 220385 [hyper,219536,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(C,D),D)),B),A))).
% 190.07/190.34 227046 [hyper,220385,1,165511] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(D,D),B)))).
% 190.07/190.34 231232 [hyper,227046,1,169050] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),equivalent(equivalent(C,C),A)),D),D)).
% 190.07/190.34 231277 [hyper,227046,1,519] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(B,C)),equivalent(equivalent(equivalent(D,D),C),B))).
% 190.07/190.34 231278 [hyper,227046,1,482] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,D),equivalent(equivalent(B,D),C)))).
% 190.07/190.34 231770 [hyper,231278,1,164979] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),D))).
% 190.07/190.34 231792 [hyper,231770,1,231232] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C)).
% 190.07/190.34 231811 [hyper,231770,1,169050] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C),D),D)).
% 190.07/190.34 231890 [hyper,231792,1,164518] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,C)),C),B)).
% 190.07/190.34 240740 [hyper,231277,1,164979] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,B),C),D),equivalent(D,C)))).
% 190.07/190.34 240761 [hyper,240740,1,231890] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(C,B))).
% 190.07/190.34 248955 [hyper,175348,1,167931] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,C),equivalent(equivalent(C,D),D)))).
% 190.07/190.34 249944 [hyper,248955,1,240761] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),C)),A)).
% 190.07/190.34 249971 [hyper,248955,1,164979] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,D),D)),B))).
% 190.07/190.34 250994 [hyper,249971,1,175348] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),B),equivalent(equivalent(A,C),C))).
% 190.07/190.34 251135 [hyper,250994,1,38850] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(B,D),D)))).
% 190.07/190.34 290297 [hyper,211629,1,240761] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(D,C),B))),D),A)).
% 190.07/190.34 290383 [hyper,290297,1,231811] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)).
% 190.07/190.34 290918 [hyper,290383,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),C))).
% 190.07/190.34 290920 [hyper,290383,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),C),D),B),A))).
% 190.07/190.34 292408 [hyper,290918,1,251135] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(B,D),D))),A)).
% 190.07/190.34 328880 [hyper,292408,1,290920] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),A),C),C),B)).
% 190.07/190.34 329098 [hyper,328880,1,290297] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),equivalent(equivalent(C,D),equivalent(equivalent(B,D),C)))).
% 190.07/190.34 329136 [hyper,328880,1,249944] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),C)),A),B)).
% 190.07/190.34 329631 [hyper,329136,1,290297] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(C,D),D))).
% 190.07/190.34 411146 [hyper,329631,1,47431] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),equivalent(C,B))).
% 190.07/190.34 412110 [hyper,411146,1,329098] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,A),C)),B)).
% 190.07/190.34 418588 [hyper,412110,1,411146] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))).
% 190.07/190.34 419641 [hyper,418588,1,411146] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A)))).
% 190.07/190.34 419642 [binary,419641.1,2.1] {-} $F.
% 190.07/190.34
% 190.07/190.34 % SZS output end Refutation
% 190.07/190.34 ------------ end of proof -------------
% 190.07/190.34
% 190.07/190.34
% 190.07/190.34 Search stopped by max_proofs option.
% 190.07/190.34
% 190.07/190.34
% 190.07/190.34 Search stopped by max_proofs option.
% 190.07/190.34
% 190.07/190.34 ============ end of search ============
% 190.07/190.34
% 190.07/190.34 ----------- soft-scott stats ----------
% 190.07/190.34
% 190.07/190.34 true clauses given 1185 (19.9%)
% 190.07/190.34 false clauses given 4784
% 190.07/190.34
% 190.07/190.34 FALSE TRUE
% 190.07/190.34 12 10 1
% 190.07/190.34 16 608 38
% 190.07/190.34 20 3095 1105
% 190.07/190.34 24 1871 1528
% 190.07/190.34 tot: 5584 2672 (32.4% true)
% 190.07/190.34
% 190.07/190.34
% 190.07/190.34 Model 3 (0.02 seconds, 0 Inserts)
% 190.07/190.34
% 190.07/190.34 That finishes the proof of the theorem.
% 190.07/190.34
% 190.07/190.34 Process 15637 finished Tue Jul 5 00:36:06 2022
%------------------------------------------------------------------------------