%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 14:27:31 EDT 2022
% Result : Unsatisfiable 1.56s 1.76s
% Output : Refutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.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 : Sun Jul 3 04:38:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n018.cluster.edu,
% 0.12/0.35 Sun Jul 3 04:38:34 2022
% 0.12/0.35 The command was "./sos". The process ID is 24023.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a Horn set without equality. The strategy will
% 0.12/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35 in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.39
% 0.12/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 -------------- Softie stats --------------
% 0.12/0.39
% 0.12/0.39 UPDATE_STOP: 300
% 0.12/0.39 SFINDER_TIME_LIMIT: 2
% 0.12/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39 number of clauses in intial UL: 3
% 0.12/0.39 number of clauses initially in problem: 8
% 0.12/0.39 percentage of clauses intially in UL: 37
% 0.12/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.39 percent of all initial clauses that are short: 100
% 0.12/0.39 absolute distinct symbol count: 5
% 0.12/0.39 distinct predicate count: 1
% 0.12/0.39 distinct function count: 3
% 0.12/0.39 distinct constant count: 1
% 0.12/0.39
% 0.12/0.39 ---------- no more Softie stats ----------
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39 =========== start of search ===========
% 1.56/1.76
% 1.56/1.76 -------- PROOF --------
% 1.56/1.76 % SZS status Unsatisfiable
% 1.56/1.76 % SZS output start Refutation
% 1.56/1.76
% 1.56/1.76 Model 3 (0.00 seconds, 0 Inserts)
% 1.56/1.76
% 1.56/1.76 Stopped by limit on number of solutions
% 1.56/1.76
% 1.56/1.76 Model 4 (0.00 seconds, 0 Inserts)
% 1.56/1.76
% 1.56/1.76 Stopped by limit on number of solutions
% 1.56/1.76
% 1.56/1.76 Model 5 (0.00 seconds, 0 Inserts)
% 1.56/1.76
% 1.56/1.76 Stopped by limit on number of solutions
% 1.56/1.76
% 1.56/1.76 Stopped by limit on insertions
% 1.56/1.76
% 1.56/1.76 Model 6 [ 1 1 31 ] (0.00 seconds, 250000 Inserts)
% 1.56/1.76
% 1.56/1.76 ----> UNIT CONFLICT at 1.36 sec ----> 2902 [binary,2901.1,3.1] {-} $F.
% 1.56/1.76
% 1.56/1.76 Length of proof is 16. Level of proof is 7.
% 1.56/1.76
% 1.56/1.76 ---------------- PROOF ----------------
% 1.56/1.76 % SZS status Unsatisfiable
% 1.56/1.76 % SZS output start Refutation
% 1.56/1.76
% 1.56/1.76 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.56/1.76 3 [] {+} -is_a_theorem(implies(necessary(a),not(necessary(not(a))))).
% 1.56/1.76 4 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 1.56/1.76 5 [] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.56/1.76 6 [] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 1.56/1.76 8 [] {+} is_a_theorem(implies(necessary(A),A)).
% 1.56/1.76 10 [hyper,4,1,4] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 1.56/1.76 12 [hyper,8,1,4] {+} is_a_theorem(implies(A,implies(necessary(B),B))).
% 1.56/1.76 14 [hyper,6,1,4] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 1.56/1.76 20 [hyper,5,1,5] {+} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).
% 1.56/1.76 26 [hyper,14,1,5] {-} is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))).
% 1.56/1.76 42 [hyper,12,1,5] {+} is_a_theorem(implies(implies(A,necessary(B)),implies(A,B))).
% 1.56/1.76 49 [hyper,10,1,5] {+} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 1.56/1.76 61 [hyper,26,1,4] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 1.56/1.76 63 [hyper,61,1,26] {+} is_a_theorem(implies(not(not(A)),implies(B,A))).
% 1.56/1.76 107 [hyper,20,1,12] {+} is_a_theorem(implies(implies(necessary(A),implies(A,B)),implies(necessary(A),B))).
% 1.56/1.76 108 [hyper,20,1,10] {+} is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))).
% 1.56/1.76 306 [hyper,42,1,26] {-} is_a_theorem(implies(implies(not(A),necessary(not(B))),implies(B,A))).
% 1.56/1.76 433 [hyper,49,1,306] {-} is_a_theorem(implies(implies(not(A),necessary(not(B))),implies(C,implies(B,A)))).
% 1.56/1.76 1989 [hyper,108,1,63] {+} is_a_theorem(implies(not(not(A)),A)).
% 1.56/1.76 2011 [hyper,1989,1,433] {-} is_a_theorem(implies(A,implies(B,not(necessary(not(B)))))).
% 1.56/1.76 2901 [hyper,2011,1,107] {-} is_a_theorem(implies(necessary(A),not(necessary(not(A))))).
% 1.56/1.76 2902 [binary,2901.1,3.1] {-} $F.
% 1.56/1.76
% 1.56/1.76 % SZS output end Refutation
% 1.56/1.76 ------------ end of proof -------------
% 1.56/1.76
% 1.56/1.76
% 1.56/1.76 Search stopped by max_proofs option.
% 1.56/1.76
% 1.56/1.76
% 1.56/1.76 Search stopped by max_proofs option.
% 1.56/1.76
% 1.56/1.76 ============ end of search ============
% 1.56/1.76
% 1.56/1.76 ----------- soft-scott stats ----------
% 1.56/1.76
% 1.56/1.76 true clauses given 95 (29.1%)
% 1.56/1.76 false clauses given 232
% 1.56/1.76
% 1.56/1.76 FALSE TRUE
% 1.56/1.76 7 0 3
% 1.56/1.76 8 0 20
% 1.56/1.76 9 21 39
% 1.56/1.76 10 69 93
% 1.56/1.76 11 82 99
% 1.56/1.76 12 64 58
% 1.56/1.76 13 67 89
% 1.56/1.76 14 231 111
% 1.56/1.76 15 286 80
% 1.56/1.76 16 197 70
% 1.56/1.76 17 177 38
% 1.56/1.76 18 108 31
% 1.56/1.76 19 79 19
% 1.56/1.76 20 65 25
% 1.56/1.76 21 44 8
% 1.56/1.76 22 40 16
% 1.56/1.76 23 33 8
% 1.56/1.76 24 21 14
% 1.56/1.76 25 8 3
% 1.56/1.76 26 14 10
% 1.56/1.76 27 7 2
% 1.56/1.76 28 14 4
% 1.56/1.76 29 17 3
% 1.56/1.76 30 17 1
% 1.56/1.76 31 0 1
% 1.56/1.76 32 4 4
% 1.56/1.76 33 1 1
% 1.56/1.76 34 0 3
% 1.56/1.76 35 1 1
% 1.56/1.76 36 1 0
% 1.56/1.76 38 1 0
% 1.56/1.76 41 4 0
% 1.56/1.76 46 0 1
% 1.56/1.76 50 0 1
% 1.56/1.76 tot: 1673 856 (33.8% true)
% 1.56/1.76
% 1.56/1.76
% 1.56/1.76 Model 6 [ 1 1 31 ] (0.00 seconds, 250000 Inserts)
% 1.56/1.76
% 1.56/1.76 That finishes the proof of the theorem.
% 1.56/1.76
% 1.56/1.76 Process 24023 finished Sun Jul 3 04:38:36 2022
%------------------------------------------------------------------------------