TSTP Solution File: SET628+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 05:19:36 EDT 2022
% Result : Theorem 4.17s 4.37s
% Output : Refutation 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n004.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 02:23:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox2 on n004.cluster.edu,
% 0.18/0.35 Mon Jul 11 02:23:37 2022
% 0.18/0.35 The command was "./sos". The process ID is 5786.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 formula_list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.18/0.35
% 0.18/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.35 clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: set(unit_deletion).
% 0.18/0.35 dependent: set(factor).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.18/0.35 18 back subsumes 13.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.37
% 0.18/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37
% 0.18/0.37 Stopped by limit on number of solutions
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 -------------- Softie stats --------------
% 0.18/0.37
% 0.18/0.37 UPDATE_STOP: 300
% 0.18/0.37 SFINDER_TIME_LIMIT: 2
% 0.18/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37 number of clauses in intial UL: 12
% 0.18/0.37 number of clauses initially in problem: 17
% 0.18/0.37 percentage of clauses intially in UL: 70
% 0.18/0.37 percentage of distinct symbols occuring in initial UL: 90
% 0.18/0.37 percent of all initial clauses that are short: 100
% 0.18/0.37 absolute distinct symbol count: 10
% 0.18/0.37 distinct predicate count: 5
% 0.18/0.37 distinct function count: 3
% 0.18/0.37 distinct constant count: 2
% 0.18/0.37
% 0.18/0.37 ---------- no more Softie stats ----------
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 =========== start of search ===========
% 3.27/3.45
% 3.27/3.45 Model 2 (0.00 seconds, 0 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on number of solutions
% 3.27/3.45
% 3.27/3.45 Model 3 (0.00 seconds, 0 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on number of solutions
% 3.27/3.45
% 3.27/3.45 Model 4 (0.00 seconds, 0 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on number of solutions
% 3.27/3.45
% 3.27/3.45 Model 5 [ 1 1 129 ] (0.00 seconds, 21453 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 6 [ 2 1 372 ] (0.00 seconds, 1028 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 7 [ 2 1 133 ] (0.00 seconds, 55319 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 8 [ 3 1 298 ] (0.00 seconds, 967 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 9 [ 3 0 187 ] (0.00 seconds, 98763 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 10 [ 4 1 436 ] (0.00 seconds, 1774 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 11 [ 4 0 129 ] (0.00 seconds, 127911 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 12 [ 5 1 1558 ] (0.00 seconds, 79252 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 13 [ 16 0 73 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 14 [ 5 0 274 ] (0.00 seconds, 192297 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 15 [ 7 1 142 ] (0.00 seconds, 92807 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 16 [ 20 0 73 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 17 [ 8 1 584 ] (0.00 seconds, 67722 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 18 [ 7 1 10565 ] (0.00 seconds, 112396 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 19 [ 9 0 181 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Model 20 [ 8 0 188 ] (0.00 seconds, 151081 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 21 [ 10 0 184 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 22 [ 21 0 75 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 23 [ 11 1 140 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 24 [ 10 1 147 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 25 [ 22 1 72 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 26 [ 11 0 74 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 27 [ 13 1 70 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 28 [ 12 0 71 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 29 [ 23 0 73 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 30 [ 13 1 74 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 31 [ 15 0 617 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 32 [ 14 1 175 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 33 [ 16 1 390 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 34 [ 15 1 135 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 35 [ 17 1 485 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 36 [ 16 1 134 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 37 [ 18 0 172 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 38 [ 17 0 116 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 39 [ 19 1 3359 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 40 [ 33 1 72 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 41 [ 20 0 463 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 42 [ 32 0 74 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 43 [ 21 1 502 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 44 [ 20 1 10504 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 45 [ 22 0 314 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 46 [ 21 1 70 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 47 [ 23 0 206 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 48 [ 35 0 73 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 49 [ 24 1 423 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 50 [ 23 1 72 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 51 [ 32 0 72 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 52 [ 24 1 140 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 53 [ 26 0 211 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 3.27/3.45 Stopped by limit on insertions
% 3.27/3.45
% 3.27/3.45 Model 54 [ 25 1 217 ] (0.00 seconds, 250000 Inserts)
% 3.27/3.45
% 4.17/4.37 Stopped by limit on inse
% 4.17/4.37 -------- PROOF --------
% 4.17/4.37 % SZS status Theorem
% 4.17/4.37 % SZS output start Refutation
% 4.17/4.37 rtions
% 4.17/4.37
% 4.17/4.37 Model 55 [ 27 1 660 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 56 [ 26 0 132 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 57 [ 28 1 137 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 58 [ 40 0 74 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 59 [ 29 1 187 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 60 [ 41 0 75 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 61 [ 30 0 441 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 62 [ 29 0 222 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 63 [ 31 0 70 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 64 [ 30 0 188 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 65 [ 32 0 477 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Stopped by limit on insertions
% 4.17/4.37
% 4.17/4.37 Model 66 [ 44 1 73 ] (0.00 seconds, 250000 Inserts)
% 4.17/4.37
% 4.17/4.37 Model 67 [ 59 0 148 ] (0.00 seconds, 86231 Inserts)
% 4.17/4.37
% 4.17/4.37 ----> UNIT CONFLICT at 4.00 sec ----> 303 [binary,302.1,121.1] {-} $F.
% 4.17/4.37
% 4.17/4.37 Length of proof is 8. Level of proof is 7.
% 4.17/4.37
% 4.17/4.37 ---------------- PROOF ----------------
% 4.17/4.37 % SZS status Theorem
% 4.17/4.37 % SZS output start Refutation
% 4.17/4.37
% 4.17/4.37 2 [] {+} -intersect(A,B)|member($f1(A,B),B).
% 4.17/4.37 3 [] {+} intersect(A,B)| -member(C,A)| -member(C,B).
% 4.17/4.37 4 [] {+} -member(A,empty_set).
% 4.17/4.37 8 [] {+} -not_equal(A,B)|A!=B.
% 4.17/4.37 11 [] {+} -intersect($c1,$c1)| -not_equal($c1,empty_set).
% 4.17/4.37 12 [factor,3.2.3] {+} intersect(A,A)| -member(B,A).
% 4.17/4.37 14 [] {+} A=B|member($f2(A,B),A)|member($f2(A,B),B).
% 4.17/4.37 15 [] {+} not_equal(A,B)|A=B.
% 4.17/4.37 17 [] {+} intersect($c1,$c1)|not_equal($c1,empty_set).
% 4.17/4.37 18 [] {+} A=A.
% 4.17/4.37 19 [hyper,14,12] {+} A=B|member($f2(A,B),B)|intersect(A,A).
% 4.17/4.37 59 [para_into,17.2.2,14.1.1,unit_del,4] {+} intersect($c1,$c1)|not_equal($c1,A)|member($f2(empty_set,A),A).
% 4.17/4.37 64 [hyper,19,4] {+} A=empty_set|intersect(A,A).
% 4.17/4.37 95,94 [hyper,64,11,15,factor_simp] {-} empty_set=$c1.
% 4.17/4.37 121 [back_demod,4,demod,95] {-} -member(A,$c1).
% 4.17/4.37 296 [hyper,59,8,18,demod,95,unit_del,121] {-} intersect($c1,$c1).
% 4.17/4.37 302 [hyper,296,2] {-} member($f1($c1,$c1),$c1).
% 4.17/4.37 303 [binary,302.1,121.1] {-} $F.
% 4.17/4.37
% 4.17/4.37 % SZS output end Refutation
% 4.17/4.37 ------------ end of proof -------------
% 4.17/4.37
% 4.17/4.37
% 4.17/4.37 Search stopped by max_proofs option.
% 4.17/4.37
% 4.17/4.37
% 4.17/4.37 Search stopped by max_proofs option.
% 4.17/4.37
% 4.17/4.37 ============ end of search ============
% 4.17/4.37
% 4.17/4.37 ----------- soft-scott stats ----------
% 4.17/4.37
% 4.17/4.37 true clauses given 33 (32.0%)
% 4.17/4.37 false clauses given 70
% 4.17/4.37
% 4.17/4.37 FALSE TRUE
% 4.17/4.37 3 2 0
% 4.17/4.37 6 1 10
% 4.17/4.37 7 0 2
% 4.17/4.37 8 2 8
% 4.17/4.37 9 6 10
% 4.17/4.37 10 0 2
% 4.17/4.37 11 9 19
% 4.17/4.37 12 3 9
% 4.17/4.37 13 2 6
% 4.17/4.37 14 8 19
% 4.17/4.37 15 0 5
% 4.17/4.37 16 4 12
% 4.17/4.37 18 1 12
% 4.17/4.37 19 0 1
% 4.17/4.37 20 0 9
% 4.17/4.37 22 1 7
% 4.17/4.37 23 1 6
% 4.17/4.37 25 2 16
% 4.17/4.37 27 0 6
% 4.17/4.37 tot: 42 159 (79.1% true)
% 4.17/4.37
% 4.17/4.37
% 4.17/4.37 Model 67 [ 59 0 148 ] (0.00 seconds, 86231 Inserts)
% 4.17/4.37
% 4.17/4.37 That finishes the proof of the theorem.
% 4.17/4.37
% 4.17/4.37 Process 5786 finished Mon Jul 11 02:23:41 2022
%------------------------------------------------------------------------------