%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD068-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:27:59 EDT 2022
% Result : Unsatisfiable 7.44s 7.63s
% Output : Refutation 7.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD068-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % 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 : Mon Jun 6 18:03:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n018.cluster.edu,
% 0.12/0.35 Mon Jun 6 18:03:05 2022
% 0.12/0.35 The command was "./sos". The process ID is 22875.
% 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=0, equality=0, symmetry=0, max_lits=5.
% 0.12/0.35
% 0.12/0.35 This is a non-Horn set without equality. The strategy
% 0.12/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35 dependent: set(unit_deletion).
% 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 =======
% 0.18/0.44
% 0.18/0.44 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.44
% 0.18/0.44 Stopped by limit on number of solutions
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 -------------- Softie stats --------------
% 0.18/0.44
% 0.18/0.44 UPDATE_STOP: 300
% 0.18/0.44 SFINDER_TIME_LIMIT: 2
% 0.18/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.44 number of clauses in intial UL: 48
% 0.18/0.44 number of clauses initially in problem: 55
% 0.18/0.44 percentage of clauses intially in UL: 87
% 0.18/0.44 percentage of distinct symbols occuring in initial UL: 92
% 0.18/0.44 percent of all initial clauses that are short: 100
% 0.18/0.44 absolute distinct symbol count: 13
% 0.18/0.44 distinct predicate count: 4
% 0.18/0.44 distinct function count: 4
% 0.18/0.44 distinct constant count: 5
% 0.18/0.44
% 0.18/0.44 ---------- no more Softie stats ----------
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.44
% 0.18/0.44 Stopped by limit on number of solutions
% 0.18/0.44
% 0.18/0.44 =========== start of search ===========
% 3.89/4.08
% 3.89/4.08
% 3.89/4.08 Changing weight limit from 60 to 15.
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 3 [ 1 2 109 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 4 [ 2 1 180 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 5 [ 2 1 107 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 6 [ 3 1 129 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 7 [ 6 2 140 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 8 [ 4 1 105 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 9 [ 2 1 169 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 10 [ 5 1 107 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 11 [ 3 1 431 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 12 [ 3 1 248 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 13 [ 4 1 387 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 14 [ 4 1 375 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 15 [ 3 1 323 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 16 [ 5 2 142 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 17 [ 3 1 368 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 18 [ 2 1 611 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 19 [ 5 1 375 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 20 [ 4 2 107 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 21 [ 17 2 103 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 22 [ 4 1 325 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 23 [ 20 2 273 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 24 [ 4 1 188 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 25 [ 19 1 116 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 26 [ 4 2 151 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 27 [ 5 2 24246 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 28 [ 7 1 190 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 29 [ 23 1 107 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 30 [ 4 10 242656 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 31 [ 8 1 110 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 32 [ 9 1 104 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 33 [ 26 1 106 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 34 [ 8 13 228578 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 35 [ 8 2 19690 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 36 [ 9 1 2027 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Stopped by limit on insertions
% 3.89/4.08
% 3.89/4.08 Model 37 [ 9 1 105 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.08
% 3.89/4.08 Resetting weight limit to 15 after 45 givens.
% 3.89/4.08
% 4.43/4.62
% 4.43/4.62
% 4.43/4.62 Changing weight limit from 15 to 16.
% 4.43/4.62
% 4.43/4.62 Stopped by limit on insertions
% 4.43/4.62
% 4.43/4.62 Model 38 [ 5 1 103 ] (0.00 seconds, 250000 Inserts)
% 4.43/4.62
% 4.43/4.62 Stopped by limit on insertions
% 4.43/4.62
% 4.43/4.62 Model 39 [ 3 1 122 ] (0.00 seconds, 250000 Inserts)
% 4.43/4.62
% 4.43/4.62 Stopped by limit on insertions
% 4.43/4.62
% 4.43/4.62 Model 40 [ 24 1 147 ] (0.00 seconds, 250000 Inserts)
% 4.43/4.62
% 4.43/4.62 Resetting weight limit to 16 after 50 givens.
% 4.43/4.62
% 5.50/5.68
% 5.50/5.68
% 5.50/5.68 Changing weight limit from 16 to 12.
% 5.50/5.68
% 5.50/5.68 Stopped by limit on insertions
% 5.50/5.68
% 5.50/5.68 Model 41 [ 13 2 7757 ] (0.00 seconds, 250000 Inserts)
% 5.50/5.68
% 5.50/5.68 Stopped by limit on insertions
% 5.50/5.68
% 5.50/5.68 Model 42 [ 12 19 239873 ] (0.00 seconds, 250000 Inserts)
% 5.50/5.68
% 5.50/5.68 Stopped by limit on insertions
% 5.50/5.68
% 5.50/5.68 Model 43 [ 10 1 712 ] (0.00 seconds, 250000 Inserts)
% 5.50/5.68
% 5.50/5.68 Stopped by limit on insertions
% 5.50/5.68
% 5.50/5.68 Model 44 [ 9 6 53220 ] (0.00 seconds, 250000 Inserts)
% 5.50/5.68
% 5.50/5.68 Stopped by limit on insertions
% 5.50/5.68
% 5.50/5.68 Model 45 [ 9 1 107 ] (0.00 seconds, 250000 Inserts)
% 5.50/5.68
% 5.50/5.68 Resetting weight limit to 12 after 55 givens.
% 5.50/5.68
% 6.68/6.88
% 6.68/6.88
% 6.68/6.88 Changing weight limit from 12 to 13.
% 6.68/6.88
% 6.68/6.88 Stopped by limit on insertions
% 6.68/6.88
% 6.68/6.88 Model 46 [ 5 1 104 ] (0.00 seconds, 250000 Inserts)
% 6.68/6.88
% 6.68/6.88 Stopped by limit on insertions
% 6.68/6.88
% 6.68/6.88 Model 47 [ 31 2 194 ] (0.00 seconds, 250000 Inserts)
% 6.68/6.88
% 6.68/6.88 Stopped by limit on insertions
% 6.68/6.88
% 6.68/6.88 Model 48 [ 14 12 104393 ] (0.00 seconds, 250000 Inserts)
% 6.68/6.88
% 6.68/6.88 Stopped by limit on insertions
% 6.68/6.88
% 6.68/6.88 Model 49 [ 8 20 171646 ] (0.00 seconds, 250000 Inserts)
% 6.68/6.88
% 6.68/6.88 Resetting weight limit to 13 after 60 givens.
% 6.68/6.88
% 7.44/7.63
% 7.44/7.63 -------- PROOF --------
% 7.44/7.63 % SZS status Unsatisfiable
% 7.44/7.63 % SZS output start Refutation
% 7.44/7.63
% 7.44/7.63 Stopped by limit on insertions
% 7.44/7.63
% 7.44/7.63 Model 50 [ 11 1 136 ] (0.00 seconds, 250000 Inserts)
% 7.44/7.63
% 7.44/7.63 Stopped by limit on insertions
% 7.44/7.63
% 7.44/7.63 Model 51 [ 37 2 288 ] (0.00 seconds, 250000 Inserts)
% 7.44/7.63
% 7.44/7.63 ----> UNIT CONFLICT at 7.22 sec ----> 4546 [binary,4545.1,25.1] {+} $F.
% 7.44/7.63
% 7.44/7.63 Length of proof is 6. Level of proof is 4.
% 7.44/7.63
% 7.44/7.63 ---------------- PROOF ----------------
% 7.44/7.63 % SZS status Unsatisfiable
% 7.44/7.63 % SZS output start Refutation
% 7.44/7.63
% 7.44/7.63 2 [] {+} sum(A,B,C)| -sum(D,E,A)| -sum(E,B,F)| -sum(D,F,C).
% 7.44/7.63 3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 7.44/7.63 4 [] {+} sum(additive_inverse(A),A,additive_identity)| -defined(A).
% 7.44/7.63 5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 7.44/7.63 22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 7.44/7.63 25 [] {+} -less_or_equal(a,b).
% 7.44/7.63 51 [] {+} defined(a).
% 7.44/7.63 52 [] {+} defined(b).
% 7.44/7.63 54 [] {-} sum(b,additive_inverse(a),u).
% 7.44/7.63 55 [] {+} less_or_equal(additive_identity,u).
% 7.44/7.63 114 [hyper,51,4] {+} sum(additive_inverse(a),a,additive_identity).
% 7.44/7.63 115 [hyper,51,3] {+} sum(additive_identity,a,a).
% 7.44/7.63 153 [hyper,52,3] {+} sum(additive_identity,b,b).
% 7.44/7.63 1823 [hyper,153,5] {+} sum(b,additive_identity,b).
% 7.44/7.63 4544 [hyper,114,2,54,1823] {+} sum(u,a,b).
% 7.44/7.63 4545 [hyper,4544,22,55,115] {-} less_or_equal(a,b).
% 7.44/7.63 4546 [binary,4545.1,25.1] {+} $F.
% 7.44/7.63
% 7.44/7.63 % SZS output end Refutation
% 7.44/7.63 ------------ end of proof -------------
% 7.44/7.63
% 7.44/7.63
% 7.44/7.63 Search stopped by max_proofs option.
% 7.44/7.63
% 7.44/7.63
% 7.44/7.63 Search stopped by max_proofs option.
% 7.44/7.63
% 7.44/7.63 ============ end of search ============
% 7.44/7.63
% 7.44/7.63 ----------- soft-scott stats ----------
% 7.44/7.63
% 7.44/7.63 true clauses given 11 (17.5%)
% 7.44/7.63 false clauses given 52
% 7.44/7.63
% 7.44/7.63 FALSE TRUE
% 7.44/7.63 4 33 4
% 7.44/7.63 5 138 1
% 7.44/7.63 6 526 51
% 7.44/7.63 7 466 9
% 7.44/7.63 8 1051 109
% 7.44/7.63 9 24 7
% 7.44/7.63 10 332 282
% 7.44/7.63 11 10 10
% 7.44/7.63 12 104 137
% 7.44/7.63 tot: 2684 610 (18.5% true)
% 7.44/7.63
% 7.44/7.63
% 7.44/7.63 Model 51 [ 37 2 288 ] (0.00 seconds, 250000 Inserts)
% 7.44/7.63
% 7.44/7.63 That finishes the proof of the theorem.
% 7.44/7.63
% 7.44/7.63 Process 22875 finished Mon Jun 6 18:03:12 2022
%------------------------------------------------------------------------------