TSTP Solution File: SET900+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 05:21:40 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 00:53:58 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 n012.cluster.edu,
% 0.12/0.35 Sun Jul 10 00:53:58 2022
% 0.12/0.35 The command was "./sos". The process ID is 11678.
% 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 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.18/0.38
% 0.18/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 Stopped by limit on number of solutions
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 -------------- Softie stats --------------
% 0.18/0.38
% 0.18/0.38 UPDATE_STOP: 300
% 0.18/0.38 SFINDER_TIME_LIMIT: 2
% 0.18/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38 number of clauses in intial UL: 7
% 0.18/0.38 number of clauses initially in problem: 11
% 0.18/0.38 percentage of clauses intially in UL: 63
% 0.18/0.38 percentage of distinct symbols occuring in initial UL: 90
% 0.18/0.38 percent of all initial clauses that are short: 100
% 0.18/0.38 absolute distinct symbol count: 10
% 0.18/0.38 distinct predicate count: 3
% 0.18/0.38 distinct function count: 2
% 0.18/0.38 distinct constant count: 5
% 0.18/0.38
% 0.18/0.38 ---------- no more Softie stats ----------
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 =========== start of search ===========
% 0.18/0.38
% 0.18/0.38 -------- PROOF --------
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Refutation
% 0.18/0.38
% 0.18/0.38 -----> EMPTY CLAUSE at 0.01 sec ----> 32 [hyper,15,8,unit_del,4,4,6] {-} $F.
% 0.18/0.38
% 0.18/0.38 Length of proof is 3. Level of proof is 2.
% 0.18/0.38
% 0.18/0.38 ---------------- PROOF ----------------
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Refutation
% 0.18/0.38
% 0.18/0.38 3 [] {-} $c4!=singleton($c3).
% 0.18/0.38 4 [copy,3,flip.1] {+} singleton($c3)!=$c4.
% 0.18/0.38 5 [] {-} $c4!=empty_set.
% 0.18/0.38 6 [copy,5,flip.1] {+} empty_set!=$c4.
% 0.18/0.38 7 [] {+} -in(A,$c4)|A=$c3.
% 0.18/0.38 8 [] {+} A=singleton(B)|A=empty_set|$f1(A,B)!=B.
% 0.18/0.38 12 [] {-} A=singleton(B)|A=empty_set|in($f1(A,B),A).
% 0.18/0.38 15 [hyper,12,7,unit_del,6,flip.1] {-} singleton(A)=$c4|$f1($c4,A)=$c3.
% 0.18/0.38 32 [hyper,15,8,unit_del,4,4,6] {-} $F.
% 0.18/0.38
% 0.18/0.38 % SZS output end Refutation
% 0.18/0.38 ------------ end of proof -------------
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 Search stopped by max_proofs option.
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 Search stopped by max_proofs option.
% 0.18/0.38
% 0.18/0.38 ============ end of search ============
% 0.18/0.38
% 0.18/0.38 ----------- soft-scott stats ----------
% 0.18/0.38
% 0.18/0.38 true clauses given 1 (33.3%)
% 0.18/0.38 false clauses given 2
% 0.18/0.38
% 0.18/0.38 FALSE TRUE
% 0.18/0.38 2 0 1
% 0.18/0.38 3 0 1
% 0.18/0.38 5 0 1
% 0.18/0.38 9 1 0
% 0.18/0.38 11 1 0
% 0.18/0.38 12 1 0
% 0.18/0.38 13 0 2
% 0.18/0.38 15 1 2
% 0.18/0.38 23 0 2
% 0.18/0.38 25 2 2
% 0.18/0.38 tot: 6 11 (64.7% true)
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 That finishes the proof of the theorem.
% 0.18/0.38
% 0.18/0.38 Process 11678 finished Sun Jul 10 00:53:58 2022
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