TSTP Solution File: SET635+3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 05:19:41 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 13:42:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ----- Otter 3.2, August 2001 -----
% 0.12/0.34 The process was started by sandbox2 on n028.cluster.edu,
% 0.12/0.34 Sun Jul 10 13:42:57 2022
% 0.12/0.34 The command was "./sos". The process ID is 962.
% 0.12/0.34
% 0.12/0.34 set(prolog_style_variables).
% 0.12/0.34 set(auto).
% 0.12/0.34 dependent: set(auto1).
% 0.12/0.34 dependent: set(process_input).
% 0.12/0.34 dependent: clear(print_kept).
% 0.12/0.34 dependent: clear(print_new_demod).
% 0.12/0.34 dependent: clear(print_back_demod).
% 0.12/0.34 dependent: clear(print_back_sub).
% 0.12/0.34 dependent: set(control_memory).
% 0.12/0.34 dependent: assign(max_mem, 12000).
% 0.12/0.34 dependent: assign(pick_given_ratio, 4).
% 0.12/0.34 dependent: assign(stats_level, 1).
% 0.12/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34 dependent: assign(sos_limit, 5000).
% 0.12/0.34 dependent: assign(max_weight, 60).
% 0.12/0.34 clear(print_given).
% 0.12/0.34
% 0.12/0.34 formula_list(usable).
% 0.12/0.34
% 0.12/0.34 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.12/0.34
% 0.12/0.34 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.34 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.34 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.34 clauses in usable.
% 0.12/0.34
% 0.12/0.34 dependent: set(knuth_bendix).
% 0.12/0.34 dependent: set(para_from).
% 0.12/0.34 dependent: set(para_into).
% 0.12/0.34 dependent: clear(para_from_right).
% 0.12/0.34 dependent: clear(para_into_right).
% 0.12/0.34 dependent: set(para_from_vars).
% 0.12/0.34 dependent: set(eq_units_both_ways).
% 0.12/0.34 dependent: set(dynamic_demod_all).
% 0.12/0.34 dependent: set(dynamic_demod).
% 0.12/0.34 dependent: set(order_eq).
% 0.12/0.34 dependent: set(back_demod).
% 0.12/0.34 dependent: set(lrpo).
% 0.12/0.34 dependent: set(hyper_res).
% 0.12/0.34 dependent: set(unit_deletion).
% 0.12/0.34 dependent: set(factor).
% 0.12/0.34
% 0.12/0.34 ------------> process usable:
% 0.12/0.34
% 0.12/0.34 ------------> process sos:
% 0.12/0.34 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] {-} union(A,B)=union(B,A).
% 0.12/0.34 Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] {-} intersection(A,B)=intersection(B,A).
% 0.12/0.34 Following clause subsumed by 37 during input processing: 0 [copy,37,flip.1] {-} A=A.
% 0.12/0.34 37 back subsumes 22.
% 0.12/0.34 37 back subsumes 21.
% 0.12/0.34
% 0.12/0.34 ======= 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: 19
% 0.18/0.38 number of clauses initially in problem: 34
% 0.18/0.38 percentage of clauses intially in UL: 55
% 0.18/0.38 percentage of distinct symbols occuring in initial UL: 64
% 0.18/0.38 percent of all initial clauses that are short: 100
% 0.18/0.38 absolute distinct symbol count: 14
% 0.18/0.38 distinct predicate count: 4
% 0.18/0.38 distinct function count: 6
% 0.18/0.38 distinct constant count: 4
% 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 Model 2 (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 =========== start of search ===========
% 0.18/0.45
% 0.18/0.45 -------- PROOF --------
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 % SZS output start Refutation
% 0.18/0.45
% 0.18/0.45 Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 Model 5 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 Model 6 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 Model 7 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 Model 8 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 ----> UNIT CONFLICT at 0.08 sec ----> 223 [binary,221.1,164.1] {+} $F.
% 0.18/0.45
% 0.18/0.45 Length of proof is 5. Level of proof is 2.
% 0.18/0.45
% 0.18/0.45 ---------------- PROOF ----------------
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 % SZS output start Refutation
% 0.18/0.45
% 0.18/0.45 2 [] {+} difference(A,B)=empty_set| -subset(A,B).
% 0.18/0.45 19 [] {-} intersection($c3,difference($c2,$c1))!=difference(intersection($c3,$c2),intersection($c3,$c1)).
% 0.18/0.45 23 [] {+} subset(intersection(A,B),A).
% 0.18/0.45 25,24 [] {+} union(A,empty_set)=A.
% 0.18/0.45 26 [] {-} difference(A,intersection(B,C))=union(difference(A,B),difference(A,C)).
% 0.18/0.45 27 [copy,26,flip.1] {-} union(difference(A,B),difference(A,C))=difference(A,intersection(B,C)).
% 0.18/0.45 30,29 [] {+} intersection(A,difference(B,C))=difference(intersection(A,B),C).
% 0.18/0.45 32 [] {+} intersection(A,B)=intersection(B,A).
% 0.18/0.45 38 [back_demod,19,demod,30,flip.1] {-} difference(intersection($c3,$c2),intersection($c3,$c1))!=difference(intersection($c3,$c2),$c1).
% 0.18/0.45 39 [hyper,23,2] {+} difference(intersection(A,B),A)=empty_set.
% 0.18/0.45 164 [para_into,38.1.1.2,32.1.1] {-} difference(intersection($c3,$c2),intersection($c1,$c3))!=difference(intersection($c3,$c2),$c1).
% 0.18/0.45 221 [para_from,39.1.1,27.1.1.2,demod,25,flip.1] {-} difference(intersection(A,B),intersection(C,A))=difference(intersection(A,B),C).
% 0.18/0.45 223 [binary,221.1,164.1] {+} $F.
% 0.18/0.45
% 0.18/0.45 % SZS output end Refutation
% 0.18/0.45 ------------ end of proof -------------
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Search stopped by max_proofs option.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Search stopped by max_proofs option.
% 0.18/0.45
% 0.18/0.45 ============ end of search ============
% 0.18/0.45
% 0.18/0.45 ----------- soft-scott stats ----------
% 0.18/0.45
% 0.18/0.45 true clauses given 5 (31.2%)
% 0.18/0.45 false clauses given 11
% 0.18/0.45
% 0.18/0.45 FALSE TRUE
% 0.18/0.45 5 0 2
% 0.18/0.45 7 0 3
% 0.18/0.45 8 0 3
% 0.18/0.45 10 0 4
% 0.18/0.45 11 0 5
% 0.18/0.45 12 0 13
% 0.18/0.45 13 2 7
% 0.18/0.45 14 0 6
% 0.18/0.45 15 0 7
% 0.18/0.45 16 0 1
% 0.18/0.45 18 0 4
% 0.18/0.45 19 11 10
% 0.18/0.45 20 0 2
% 0.18/0.45 21 7 12
% 0.18/0.45 22 0 11
% 0.18/0.45 23 12 11
% 0.18/0.45 25 2 4
% 0.18/0.45 27 9 11
% 0.18/0.45 31 1 1
% 0.18/0.45 35 2 2
% 0.18/0.45 tot: 46 119 (72.1% true)
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Model 8 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 That finishes the proof of the theorem.
% 0.18/0.45
% 0.18/0.45 Process 962 finished Sun Jul 10 13:42:57 2022
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