TSTP Solution File: SET618+3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 05:19:29 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.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 : Sun Jul 10 06:28:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox on n007.cluster.edu,
% 0.19/0.35 Sun Jul 10 06:28:16 2022
% 0.19/0.35 The command was "./sos". The process ID is 27905.
% 0.19/0.35
% 0.19/0.35 set(prolog_style_variables).
% 0.19/0.35 set(auto).
% 0.19/0.35 dependent: set(auto1).
% 0.19/0.35 dependent: set(process_input).
% 0.19/0.35 dependent: clear(print_kept).
% 0.19/0.35 dependent: clear(print_new_demod).
% 0.19/0.35 dependent: clear(print_back_demod).
% 0.19/0.35 dependent: clear(print_back_sub).
% 0.19/0.35 dependent: set(control_memory).
% 0.19/0.35 dependent: assign(max_mem, 12000).
% 0.19/0.35 dependent: assign(pick_given_ratio, 4).
% 0.19/0.35 dependent: assign(stats_level, 1).
% 0.19/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35 dependent: assign(sos_limit, 5000).
% 0.19/0.35 dependent: assign(max_weight, 60).
% 0.19/0.35 clear(print_given).
% 0.19/0.35
% 0.19/0.35 formula_list(usable).
% 0.19/0.35
% 0.19/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.19/0.35
% 0.19/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.35 clauses in usable.
% 0.19/0.35
% 0.19/0.35 dependent: set(knuth_bendix).
% 0.19/0.35 dependent: set(para_from).
% 0.19/0.35 dependent: set(para_into).
% 0.19/0.35 dependent: clear(para_from_right).
% 0.19/0.35 dependent: clear(para_into_right).
% 0.19/0.35 dependent: set(para_from_vars).
% 0.19/0.35 dependent: set(eq_units_both_ways).
% 0.19/0.35 dependent: set(dynamic_demod_all).
% 0.19/0.35 dependent: set(dynamic_demod).
% 0.19/0.35 dependent: set(order_eq).
% 0.19/0.35 dependent: set(back_demod).
% 0.19/0.35 dependent: set(lrpo).
% 0.19/0.35 dependent: set(hyper_res).
% 0.19/0.35 dependent: set(unit_deletion).
% 0.19/0.35 dependent: set(factor).
% 0.19/0.35
% 0.19/0.35 ------------> process usable:
% 0.19/0.35
% 0.19/0.35 ------------> process sos:
% 0.19/0.35 Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] {-} union(A,B)=union(B,A).
% 0.19/0.35 Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} symmetric_difference(A,B)=symmetric_difference(B,A).
% 0.19/0.35 Following clause subsumed by 27 during input processing: 0 [copy,27,flip.1] {-} A=A.
% 0.19/0.35 27 back subsumes 13.
% 0.19/0.35 27 back subsumes 12.
% 0.19/0.35
% 0.19/0.35 ======= end of input processing =======
% 0.19/0.37
% 0.19/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.37
% 0.19/0.37 Stopped by limit on number of solutions
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37 -------------- Softie stats --------------
% 0.19/0.37
% 0.19/0.37 UPDATE_STOP: 300
% 0.19/0.37 SFINDER_TIME_LIMIT: 2
% 0.19/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.37 number of clauses in intial UL: 11
% 0.19/0.37 number of clauses initially in problem: 24
% 0.19/0.37 percentage of clauses intially in UL: 45
% 0.19/0.37 percentage of distinct symbols occuring in initial UL: 75
% 0.19/0.37 percent of all initial clauses that are short: 100
% 0.19/0.37 absolute distinct symbol count: 12
% 0.19/0.37 distinct predicate count: 4
% 0.19/0.37 distinct function count: 6
% 0.19/0.37 distinct constant count: 2
% 0.19/0.37
% 0.19/0.37 ---------- no more Softie stats ----------
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37 =========== start of search ===========
% 0.19/0.39
% 0.19/0.39 -------- PROOF --------
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39
% 0.19/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39 ----> UNIT CONFLICT at 0.01 sec ----> 35 [binary,33.1,11.1] {+} $F.
% 0.19/0.39
% 0.19/0.39 Length of proof is 2. Level of proof is 2.
% 0.19/0.39
% 0.19/0.39 ---------------- PROOF ----------------
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39
% 0.19/0.39 11 [] {+} symmetric_difference($c1,$c1)!=empty_set.
% 0.19/0.39 14 [] {-} symmetric_difference(A,B)=union(difference(A,B),difference(B,A)).
% 0.19/0.39 15 [copy,14,flip.1] {-} union(difference(A,B),difference(B,A))=symmetric_difference(A,B).
% 0.19/0.39 17 [] {+} union(A,A)=A.
% 0.19/0.39 20,19 [] {-} difference(A,A)=empty_set.
% 0.19/0.39 33 [para_into,17.1.1,15.1.1,demod,20] {-} symmetric_difference(A,A)=empty_set.
% 0.19/0.39 35 [binary,33.1,11.1] {+} $F.
% 0.19/0.39
% 0.19/0.39 % SZS output end Refutation
% 0.19/0.39 ------------ end of proof -------------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.39
% 0.19/0.39 ============ end of search ============
% 0.19/0.39
% 0.19/0.39 ----------- soft-scott stats ----------
% 0.19/0.39
% 0.19/0.39 true clauses given 0 (0.0%)
% 0.19/0.39 false clauses given 2
% 0.19/0.39
% 0.19/0.39 FALSE TRUE
% 0.19/0.39 3 0 2
% 0.19/0.39 5 1 0
% 0.19/0.39 6 1 0
% 0.19/0.39 7 2 0
% 0.19/0.39 8 1 0
% 0.19/0.39 13 1 0
% 0.19/0.39 19 2 0
% 0.19/0.39 21 0 1
% 0.19/0.39 25 0 2
% 0.19/0.39 tot: 8 5 (38.5% true)
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 That finishes the proof of the theorem.
% 0.19/0.39
% 0.19/0.39 Process 27905 finished Sun Jul 10 06:28:16 2022
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