%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET875+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 : Tue Jul 19 05:21:30 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET875+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n003.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 Jul 11 00:39:44 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 sandbox2 on n003.cluster.edu,
% 0.12/0.35 Mon Jul 11 00:39:44 2022
% 0.12/0.35 The command was "./sos". The process ID is 19800.
% 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 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 8
% 0.12/0.37 number of clauses initially in problem: 14
% 0.12/0.37 percentage of clauses intially in UL: 57
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 70
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 10
% 0.12/0.37 distinct predicate count: 4
% 0.12/0.37 distinct function count: 2
% 0.12/0.37 distinct constant count: 4
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 0.19/0.42
% 0.19/0.42 -------- PROOF --------
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Refutation
% 0.19/0.42
% 0.19/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.42
% 0.19/0.42 Stopped by limit on number of solutions
% 0.19/0.42
% 0.19/0.42 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.42
% 0.19/0.42 Stopped by limit on number of solutions
% 0.19/0.42
% 0.19/0.42 -----> EMPTY CLAUSE at 0.04 sec ----> 141 [hyper,45,5,15] {-} $F.
% 0.19/0.42
% 0.19/0.42 Length of proof is 2. Level of proof is 1.
% 0.19/0.42
% 0.19/0.42 ---------------- PROOF ----------------
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Refutation
% 0.19/0.42
% 0.19/0.42 3 [] {+} A!=singleton(B)|in(C,A)|C!=B.
% 0.19/0.42 5 [] {+} -disjoint(singleton(A),B)| -in(A,B).
% 0.19/0.42 11 [] {-} disjoint(singleton($c4),singleton($c3)).
% 0.19/0.42 13,12 [] {+} $c4=$c3.
% 0.19/0.42 14 [] {+} A=A.
% 0.19/0.42 15 [back_demod,11,demod,13] {-} disjoint(singleton($c3),singleton($c3)).
% 0.19/0.42 45 [hyper,14,3,14] {+} in(A,singleton(A)).
% 0.19/0.42 141 [hyper,45,5,15] {-} $F.
% 0.19/0.42
% 0.19/0.42 % SZS output end Refutation
% 0.19/0.42 ------------ end of proof -------------
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Search stopped by max_proofs option.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Search stopped by max_proofs option.
% 0.19/0.42
% 0.19/0.42 ============ end of search ============
% 0.19/0.42
% 0.19/0.42 ----------- soft-scott stats ----------
% 0.19/0.42
% 0.19/0.42 true clauses given 2 (22.2%)
% 0.19/0.42 false clauses given 7
% 0.19/0.42
% 0.19/0.42 FALSE TRUE
% 0.19/0.42 9 0 1
% 0.19/0.42 10 0 1
% 0.19/0.42 11 1 0
% 0.19/0.42 12 3 0
% 0.19/0.42 13 1 2
% 0.19/0.42 14 1 1
% 0.19/0.42 15 1 3
% 0.19/0.42 16 3 2
% 0.19/0.42 17 1 1
% 0.19/0.42 18 2 2
% 0.19/0.42 19 7 0
% 0.19/0.42 20 1 0
% 0.19/0.42 21 2 0
% 0.19/0.42 23 4 4
% 0.19/0.42 25 4 4
% 0.19/0.42 26 0 3
% 0.19/0.42 28 3 0
% 0.19/0.42 29 6 4
% 0.19/0.42 30 1 0
% 0.19/0.42 31 2 1
% 0.19/0.42 32 0 1
% 0.19/0.42 34 2 0
% 0.19/0.42 35 2 1
% 0.19/0.42 36 8 0
% 0.19/0.42 37 1 1
% 0.19/0.42 38 4 0
% 0.19/0.42 42 5 1
% 0.19/0.42 44 8 0
% 0.19/0.42 46 0 1
% 0.19/0.42 48 6 1
% 0.19/0.42 51 3 0
% 0.19/0.42 57 1 1
% 0.19/0.42 59 1 0
% 0.19/0.42 60 1 0
% 0.19/0.42 tot: 85 36 (29.8% true)
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.42
% 0.19/0.42 That finishes the proof of the theorem.
% 0.19/0.42
% 0.19/0.42 Process 19800 finished Mon Jul 11 00:39:44 2022
%------------------------------------------------------------------------------