%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL416-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 14:30:04 EDT 2022
% Result : Unsatisfiable 47.52s 47.69s
% Output : Refutation 47.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL416-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 05:21:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 ----- Otter 3.2, August 2001 -----
% 0.14/0.36 The process was started by sandbox2 on n026.cluster.edu,
% 0.14/0.36 Mon Jul 4 05:21:06 2022
% 0.14/0.36 The command was "./sos". The process ID is 27002.
% 0.14/0.36
% 0.14/0.36 set(prolog_style_variables).
% 0.14/0.36 set(auto).
% 0.14/0.36 dependent: set(auto1).
% 0.14/0.36 dependent: set(process_input).
% 0.14/0.36 dependent: clear(print_kept).
% 0.14/0.36 dependent: clear(print_new_demod).
% 0.14/0.36 dependent: clear(print_back_demod).
% 0.14/0.36 dependent: clear(print_back_sub).
% 0.14/0.36 dependent: set(control_memory).
% 0.14/0.36 dependent: assign(max_mem, 12000).
% 0.14/0.36 dependent: assign(pick_given_ratio, 4).
% 0.14/0.36 dependent: assign(stats_level, 1).
% 0.14/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36 dependent: assign(sos_limit, 5000).
% 0.14/0.36 dependent: assign(max_weight, 60).
% 0.14/0.36 clear(print_given).
% 0.14/0.36
% 0.14/0.36 list(usable).
% 0.14/0.36
% 0.14/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.36
% 0.14/0.36 This is a Horn set without equality. The strategy will
% 0.14/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.14/0.36 in usable.
% 0.14/0.36
% 0.14/0.36 dependent: set(hyper_res).
% 0.14/0.36 dependent: clear(order_hyper).
% 0.14/0.36
% 0.14/0.36 ------------> process usable:
% 0.14/0.36
% 0.14/0.36 ------------> process sos:
% 0.14/0.36
% 0.14/0.36 ======= end of input processing =======
% 0.21/0.39
% 0.21/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.39
% 0.21/0.39 Stopped by limit on number of solutions
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 -------------- Softie stats --------------
% 0.21/0.39
% 0.21/0.39 UPDATE_STOP: 300
% 0.21/0.39 SFINDER_TIME_LIMIT: 2
% 0.21/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.39 number of clauses in intial UL: 2
% 0.21/0.39 number of clauses initially in problem: 3
% 0.21/0.39 percentage of clauses intially in UL: 66
% 0.21/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.39 percent of all initial clauses that are short: 100
% 0.21/0.39 absolute distinct symbol count: 3
% 0.21/0.39 distinct predicate count: 1
% 0.21/0.39 distinct function count: 1
% 0.21/0.39 distinct constant count: 1
% 0.21/0.39
% 0.21/0.39 ---------- no more Softie stats ----------
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 =========== start of search ===========
% 29.62/29.85
% 29.62/29.85
% 29.62/29.85 Changing weight limit from 60 to 56.
% 29.62/29.85
% 29.62/29.85 Model 2 (0.00 seconds, 0 Inserts)
% 29.62/29.85
% 29.62/29.85 Stopped by limit on number of solutions
% 29.62/29.85
% 29.62/29.85 Resetting weight limit to 56 after 190 givens.
% 29.62/29.85
% 30.80/31.02
% 30.80/31.02
% 30.80/31.02 Changing weight limit from 56 to 52.
% 30.80/31.02
% 30.80/31.02 Resetting weight limit to 52 after 195 givens.
% 30.80/31.02
% 32.57/32.76
% 32.57/32.76
% 32.57/32.76 Changing weight limit from 52 to 48.
% 32.57/32.76
% 32.57/32.76 Resetting weight limit to 48 after 200 givens.
% 32.57/32.76
% 38.05/38.26
% 38.05/38.26
% 38.05/38.26 Changing weight limit from 48 to 44.
% 38.05/38.26
% 38.05/38.26 Resetting weight limit to 44 after 230 givens.
% 38.05/38.26
% 42.87/43.08
% 42.87/43.08
% 42.87/43.08 Changing weight limit from 44 to 40.
% 42.87/43.08
% 42.87/43.08 Resetting weight limit to 40 after 255 givens.
% 42.87/43.08
% 47.52/47.69
% 47.52/47.69 -- HEY sandbox2, WE HAVE A PROOF!! --
% 47.52/47.69
% 47.52/47.69 ----> UNIT CONFLICT at 47.20 sec ----> 16624 [binary,16623.1,2.1] {+} $F.
% 47.52/47.69
% 47.52/47.69 Length of proof is 23. Level of proof is 13.
% 47.52/47.69
% 47.52/47.69 ---------------- PROOF ----------------
% 47.52/47.69 % SZS status Unsatisfiable
% 47.52/47.69 % SZS output start Refutation
% 47.52/47.69
% 47.52/47.69 1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 47.52/47.69 2 [] {+} -is_a_theorem(equivalent(a,a)).
% 47.52/47.69 3 [] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))).
% 47.52/47.69 4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),equivalent(E,D)),E)).
% 47.52/47.69 5 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),equivalent(E,D)),E),F),equivalent(G,F)),G)).
% 47.52/47.69 6 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),E),equivalent(D,E))).
% 47.52/47.69 8 [hyper,6,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),E),equivalent(D,E)),F),equivalent(G,F)),G)).
% 47.52/47.69 9 [hyper,6,1,4] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),D)),E),equivalent(F,E)),F)),A)).
% 47.52/47.69 18 [hyper,9,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),D)),E),equivalent(F,E)),F)),A),G),equivalent(H,G)),H)).
% 47.52/47.69 25 [hyper,5,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),equivalent(E,D)),E),F),G),equivalent(F,G))).
% 47.52/47.69 44 [hyper,8,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),E),equivalent(D,E)),F),G),equivalent(F,G))).
% 47.52/47.69 89 [hyper,44,1,25] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(equivalent(C,D),equivalent(E,D)),E)),F),equivalent(G,F)),G)),B),A))).
% 47.52/47.69 138 [hyper,89,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),D)),E),equivalent(F,E)),F)),A),equivalent(G,equivalent(equivalent(equivalent(G,H),equivalent(I,H)),I)))).
% 47.52/47.69 260 [hyper,18,1,25] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),D))),A)).
% 47.52/47.69 277 [hyper,260,1,8] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),equivalent(equivalent(equivalent(D,E),equivalent(F,E)),F))).
% 47.52/47.69 309 [hyper,277,1,4] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 47.52/47.69 329 [hyper,309,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C),equivalent(D,C)),D)).
% 47.52/47.69 330 [hyper,329,1,277] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C),D),equivalent(C,D)),E),equivalent(F,E)),F)).
% 47.52/47.69 348 [hyper,329,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C),D),equivalent(C,D))).
% 47.52/47.69 349 [hyper,348,1,348] {+} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,C)),A))).
% 47.52/47.69 365 [hyper,348,1,329] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(B,C))),A)).
% 47.52/47.69 389 [hyper,365,1,8] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),equivalent(D,E)),equivalent(D,E))).
% 47.52/47.69 418 [hyper,349,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,C)),A)),D),equivalent(E,D)),E)).
% 47.52/47.69 755 [hyper,418,1,389] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,C)),A)),D),E),equivalent(D,E))).
% 47.52/47.69 16599 [hyper,138,1,330] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),D),D)).
% 47.52/47.69 16623 [hyper,16599,1,755] {-} is_a_theorem(equivalent(A,A)).
% 47.52/47.69 16624 [binary,16623.1,2.1] {+} $F.
% 47.52/47.69
% 47.52/47.69 % SZS output end Refutation
% 47.52/47.69 ------------ end of proof -------------
% 47.52/47.69
% 47.52/47.69
% 47.52/47.69 Search stopped by max_proofs option.
% 47.52/47.69
% 47.52/47.69
% 47.52/47.69 Search stopped by max_proofs option.
% 47.52/47.69
% 47.52/47.69 ============ end of search ============
% 47.52/47.69
% 47.52/47.69 ----------- soft-scott stats ----------
% 47.52/47.69
% 47.52/47.69 true clauses given 55 (18.8%)
% 47.52/47.69 false clauses given 237
% 47.52/47.69
% 47.52/47.69 FALSE TRUE
% 47.52/47.69 24 0 41
% 47.52/47.69 28 225 181
% 47.52/47.69 32 750 463
% 47.52/47.69 36 1526 1059
% 47.52/47.69 40 14 756
% 47.52/47.69 tot: 2515 2500 (49.9% true)
% 47.52/47.69
% 47.52/47.69
% 47.52/47.69 Model 2 (0.00 seconds, 0 Inserts)
% 47.52/47.69
% 47.52/47.69 That finishes the proof of the theorem.
% 47.52/47.69
% 47.52/47.69 Process 27002 finished Mon Jul 4 05:21:54 2022
%------------------------------------------------------------------------------