TSTP Solution File: SET903+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET903+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 05:21:41 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 17:40:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n012.cluster.edu,
% 0.13/0.35 Sat Jul 9 17:40:58 2022
% 0.13/0.35 The command was "./sos". The process ID is 27197.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 formula_list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} set_union2(A,B)=set_union2(B,A).
% 0.13/0.35 Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.13/0.39
% 0.13/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 -------------- Softie stats --------------
% 0.13/0.39
% 0.13/0.39 UPDATE_STOP: 300
% 0.13/0.39 SFINDER_TIME_LIMIT: 2
% 0.13/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39 number of clauses in intial UL: 9
% 0.13/0.39 number of clauses initially in problem: 18
% 0.13/0.39 percentage of clauses intially in UL: 50
% 0.13/0.39 percentage of distinct symbols occuring in initial UL: 80
% 0.13/0.39 percent of all initial clauses that are short: 100
% 0.13/0.39 absolute distinct symbol count: 10
% 0.13/0.39 distinct predicate count: 2
% 0.13/0.39 distinct function count: 2
% 0.13/0.39 distinct constant count: 6
% 0.13/0.39
% 0.13/0.39 ---------- no more Softie stats ----------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39 =========== start of search ===========
% 0.13/0.39
% 0.13/0.39 -------- PROOF --------
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Refutation
% 0.13/0.39
% 0.13/0.39 -----> EMPTY CLAUSE at 0.01 sec ----> 30 [hyper,18,4,demod,19,29,unit_del,7,9] {-} $F.
% 0.13/0.39
% 0.13/0.39 Length of proof is 3. Level of proof is 2.
% 0.13/0.39
% 0.13/0.39 ---------------- PROOF ----------------
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Refutation
% 0.13/0.39
% 0.13/0.39 4 [] {+} singleton(A)!=set_union2(B,C)|B=singleton(A)|B=empty_set.
% 0.13/0.39 6 [] {+} singleton(A)!=set_union2(B,C)|C=singleton(A)|C=empty_set.
% 0.13/0.39 7 [] {+} $c4!=$c3.
% 0.13/0.39 8 [] {-} $c4!=empty_set.
% 0.13/0.39 9 [copy,8,flip.1] {+} empty_set!=$c4.
% 0.13/0.39 10 [] {-} $c3!=empty_set.
% 0.13/0.39 11 [copy,10,flip.1] {+} empty_set!=$c3.
% 0.13/0.39 19,18 [] {-} singleton($c5)=set_union2($c4,$c3).
% 0.13/0.39 29,28 [hyper,18,6,demod,19,unit_del,11,flip.1] {-} set_union2($c4,$c3)=$c3.
% 0.13/0.39 30 [hyper,18,4,demod,19,29,unit_del,7,9] {-} $F.
% 0.13/0.39
% 0.13/0.39 % SZS output end Refutation
% 0.13/0.39 ------------ end of proof -------------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 Search stopped by max_proofs option.
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 Search stopped by max_proofs option.
% 0.13/0.39
% 0.13/0.39 ============ end of search ============
% 0.13/0.39
% 0.13/0.39 ----------- soft-scott stats ----------
% 0.13/0.39
% 0.13/0.39 true clauses given 0 (0.0%)
% 0.13/0.39 false clauses given 2
% 0.13/0.39
% 0.13/0.39 FALSE TRUE
% 0.13/0.39 2 0 2
% 0.13/0.39 3 0 1
% 0.13/0.39 5 0 1
% 0.13/0.39 8 0 1
% 0.13/0.39 18 0 2
% 0.13/0.39 19 0 4
% 0.13/0.39 tot: 0 11 (100.0% true)
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 That finishes the proof of the theorem.
% 0.13/0.39
% 0.13/0.39 Process 27197 finished Sat Jul 9 17:40:58 2022
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