TSTP Solution File: SET649+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 05:19:48 EDT 2022
% Result : Theorem 40.83s 41.02s
% Output : Refutation 40.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n011.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 19:51:41 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 sandbox on n011.cluster.edu,
% 0.18/0.35 Sun Jul 10 19:51:41 2022
% 0.18/0.35 The command was "./sos". The process ID is 23253.
% 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=7.
% 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 92 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.18/0.35 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.18/0.35 92 back subsumes 77.
% 0.18/0.35 92 back subsumes 68.
% 0.18/0.35 92 back subsumes 67.
% 0.18/0.35 92 back subsumes 64.
% 0.18/0.35 92 back subsumes 63.
% 0.18/0.35 92 back subsumes 45.
% 0.18/0.35 92 back subsumes 40.
% 0.18/0.35 92 back subsumes 36.
% 0.18/0.35 92 back subsumes 31.
% 0.18/0.35 92 back subsumes 28.
% 0.18/0.35 92 back subsumes 27.
% 0.18/0.35 92 back subsumes 22.
% 0.18/0.35 92 back subsumes 21.
% 0.18/0.35 92 back subsumes 18.
% 0.18/0.35 92 back subsumes 14.
% 0.18/0.35 92 back subsumes 11.
% 0.18/0.35 92 back subsumes 10.
% 0.18/0.35 92 back subsumes 7.
% 0.18/0.35 Following clause subsumed by 96 during input processing: 0 [copy,96,flip.1] {-} A=A.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.40
% 0.18/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.40
% 0.18/0.40 Stopped by limit on number of solutions
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 -------------- Softie stats --------------
% 0.18/0.40
% 0.18/0.40 UPDATE_STOP: 300
% 0.18/0.40 SFINDER_TIME_LIMIT: 2
% 0.18/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.40 number of clauses in intial UL: 71
% 0.18/0.40 number of clauses initially in problem: 77
% 0.18/0.40 percentage of clauses intially in UL: 92
% 0.18/0.40 percentage of distinct symbols occuring in initial UL: 96
% 0.18/0.40 percent of all initial clauses that are short: 100
% 0.18/0.40 absolute distinct symbol count: 31
% 0.18/0.40 distinct predicate count: 6
% 0.18/0.40 distinct function count: 19
% 0.18/0.40 distinct constant count: 6
% 0.18/0.40
% 0.18/0.40 ---------- no more Softie stats ----------
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.40
% 0.18/0.40 Stopped by limit on number of solutions
% 0.18/0.40
% 0.18/0.40 =========== start of search ===========
% 4.55/4.79
% 4.55/4.79
% 4.55/4.79 Changing weight limit from 60 to 38.
% 4.55/4.79
% 4.55/4.79 Model 3 (0.00 seconds, 0 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on number of solutions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 4 [ 2 0 3668 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 5 [ 2 0 2904 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 6 [ 6 1 229 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 7 [ 3 0 799 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 8 [ 2 0 1807 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 9 [ 3 0 1029 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 10 [ 2 1 1115 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 11 [ 6 1 203 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 12 [ 4 0 2457 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 13 [ 3 1 6639 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 14 [ 24 1 1015 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 15 [ 13 1 342 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 16 [ 2 3 33013 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 17 [ 2 1 3006 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 18 [ 5 1 2285 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 19 [ 3 0 1425 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 20 [ 12 1 7269 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 21 [ 6 3 17663 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 22 [ 9 1 5626 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 23 [ 28 1 1370 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Stopped by limit on insertions
% 4.55/4.79
% 4.55/4.79 Model 24 [ 4 2 8477 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.79
% 4.55/4.79 Resetting weight limit to 38 after 120 givens.
% 4.55/4.79
% 9.54/9.76
% 9.54/9.76
% 9.54/9.76 Changing weight limit from 38 to 33.
% 9.54/9.76
% 9.54/9.76 Stopped by limit on insertions
% 9.54/9.76
% 9.54/9.76 Resetting weight limit to 33 after 240 givens.
% 9.54/9.76
% 9.94/10.14
% 9.94/10.14
% 9.94/10.14 Changing weight limit from 33 to 30.
% 9.94/10.14
% 9.94/10.14 Resetting weight limit to 30 after 245 givens.
% 9.94/10.14
% 10.02/10.27
% 10.02/10.27
% 10.02/10.27 Changing weight limit from 30 to 29.
% 10.02/10.27
% 10.02/10.27 Resetting weight limit to 29 after 250 givens.
% 10.02/10.27
% 10.82/11.01
% 10.82/11.01
% 10.82/11.01 Changing weight limit from 29 to 28.
% 10.82/11.01
% 10.82/11.01 Resetting weight limit to 28 after 255 givens.
% 10.82/11.01
% 11.05/11.23
% 11.05/11.23
% 11.05/11.23 Changing weight limit from 28 to 27.
% 11.05/11.23
% 11.05/11.23 Resetting weight limit to 27 after 260 givens.
% 11.05/11.23
% 11.44/11.67
% 11.44/11.67
% 11.44/11.67 Changing weight limit from 27 to 26.
% 11.44/11.67
% 11.44/11.67 Resetting weight limit to 26 after 265 givens.
% 11.44/11.67
% 12.52/12.75
% 12.52/12.75
% 12.52/12.75 Changing weight limit from 26 to 25.
% 12.52/12.75
% 12.52/12.75 Resetting weight limit to 25 after 275 givens.
% 12.52/12.75
% 18.55/18.81
% 18.55/18.81
% 18.55/18.81 Changing weight limit from 25 to 24.
% 18.55/18.81
% 18.55/18.81 Stopped by limit on insertions
% 18.55/18.81
% 18.55/18.81 Model 25 [ 46 1 778 ] (0.00 seconds, 250000 Inserts)
% 18.55/18.81
% 18.55/18.81 Stopped by limit on insertions
% 18.55/18.81
% 18.55/18.81 Model 26 [ 13 1 1192 ] (0.00 seconds, 250000 Inserts)
% 18.55/18.81
% 18.55/18.81 Resetting weight limit to 24 after 340 givens.
% 18.55/18.81
% 20.60/20.82
% 20.60/20.82
% 20.60/20.82 Changing weight limit from 24 to 22.
% 20.60/20.82
% 20.60/20.82 Resetting weight limit to 22 after 345 givens.
% 20.60/20.82
% 21.66/21.89
% 21.66/21.89
% 21.66/21.89 Changing weight limit from 22 to 21.
% 21.66/21.89
% 21.66/21.89 Resetting weight limit to 21 after 360 givens.
% 21.66/21.89
% 22.40/22.64
% 22.40/22.64
% 22.40/22.64 Changing weight limit from 21 to 20.
% 22.40/22.64
% 22.40/22.64 Resetting weight limit to 20 after 370 givens.
% 22.40/22.64
% 23.33/23.52
% 23.33/23.52
% 23.33/23.52 Changing weight limit from 20 to 19.
% 23.33/23.52
% 23.33/23.52 Resetting weight limit to 19 after 405 givens.
% 23.33/23.52
% 25.84/26.07
% 25.84/26.07
% 25.84/26.07 Changing weight limit from 19 to 18.
% 25.84/26.07
% 25.84/26.07 Modelling stopped after 300 given clauses and 0.00 seconds
% 25.84/26.07
% 25.84/26.07
% 25.84/26.07 Resetting weight limit to 18 after 535 givens.
% 25.84/26.07
% 40.83/41.02
% 40.83/41.02 -- HEY sandbox, WE HAVE A PROOF!! --
% 40.83/41.02
% 40.83/41.02 ----> UNIT CONFLICT at 39.69 sec ----> 73921 [binary,73920.1,48.1] {-} $F.
% 40.83/41.02
% 40.83/41.02 Length of proof is 17. Level of proof is 10.
% 40.83/41.02
% 40.83/41.02 ---------------- PROOF ----------------
% 40.83/41.02 % SZS status Theorem
% 40.83/41.02 % SZS output start Refutation
% 40.83/41.02
% 40.83/41.02 1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(B,C)|subset(A,C).
% 40.83/41.02 2 [] {+} -ilf_type(A,binary_relation_type)|subset(A,cross_product(domain_of(A),range_of(A))).
% 40.83/41.02 3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -subset(A,B)| -subset(C,D)|subset(cross_product(A,C),cross_product(B,D)).
% 40.83/41.02 4 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 40.83/41.02 17 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 40.83/41.02 24 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 40.83/41.02 26 [] {+} -ilf_type(A,set_type)|subset(A,A).
% 40.83/41.02 37 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f9(A,B),A).
% 40.83/41.02 38 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f9(A,B),B).
% 40.83/41.02 42 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 40.83/41.02 44 [] {+} -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 40.83/41.02 48 [] {+} -ilf_type($c2,relation_type($c4,$c3)).
% 40.83/41.02 49 [factor,3.1.2] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,A)| -subset(B,C)|subset(cross_product(A,B),cross_product(A,C)).
% 40.83/41.02 54 [factor,3.3.4] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(C,C)|subset(cross_product(A,C),cross_product(B,C)).
% 40.83/41.02 92 [] {+} ilf_type(A,set_type).
% 40.83/41.02 93 [] {-} ilf_type($c2,binary_relation_type).
% 40.83/41.02 94 [] {+} subset(domain_of($c2),$c4).
% 40.83/41.02 95 [] {+} subset(range_of($c2),$c3).
% 40.83/41.02 102 [hyper,92,37,92] {-} member(A,power_set(B))|member($f9(A,B),A).
% 40.83/41.02 104 [hyper,92,26] {+} subset(A,A).
% 40.83/41.02 111 [hyper,93,2] {-} subset($c2,cross_product(domain_of($c2),range_of($c2))).
% 40.83/41.02 129 [hyper,104,54,92,92,92,94] {-} subset(cross_product(domain_of($c2),A),cross_product($c4,A)).
% 40.83/41.02 130 [hyper,104,49,92,92,92,95] {-} subset(cross_product(A,range_of($c2)),cross_product(A,$c3)).
% 40.83/41.02 436 [hyper,130,17,92,92,92,102] {-} member($f9(cross_product(A,range_of($c2)),B),cross_product(A,$c3))|member(cross_product(A,range_of($c2)),power_set(B)).
% 40.83/41.02 450 [hyper,130,1,92,92,92,111] {-} subset($c2,cross_product(domain_of($c2),$c3)).
% 40.83/41.02 683 [hyper,129,1,92,92,92,450] {-} subset($c2,cross_product($c4,$c3)).
% 40.83/41.02 780 [hyper,683,17,92,92,92,102] {-} member($f9($c2,A),cross_product($c4,$c3))|member($c2,power_set(A)).
% 40.83/41.02 2980 [hyper,780,38,92,92,factor_simp] {-} member($c2,power_set(cross_product($c4,$c3))).
% 40.83/41.02 3011 [hyper,2980,42,92,92] {+} empty(power_set(cross_product($c4,$c3)))|ilf_type($c2,member_type(power_set(cross_product($c4,$c3)))).
% 40.83/41.02 58992 [hyper,436,38,92,92,factor_simp] {-} member(cross_product(A,range_of($c2)),power_set(cross_product(A,$c3))).
% 40.83/41.02 73877 [hyper,3011,44,92,92,58992] {+} ilf_type($c2,member_type(power_set(cross_product($c4,$c3)))).
% 40.83/41.02 73890 [hyper,73877,24,92,92] {+} ilf_type($c2,subset_type(cross_product($c4,$c3))).
% 40.83/41.02 73920 [hyper,73890,4,92,92] {-} ilf_type($c2,relation_type($c4,$c3)).
% 40.83/41.02 73921 [binary,73920.1,48.1] {-} $F.
% 40.83/41.02
% 40.83/41.02 % SZS output end Refutation
% 40.83/41.02 ------------ end of proof -------------
% 40.83/41.02
% 40.83/41.02
% 40.83/41.02 Search stopped by max_proofs option.
% 40.83/41.02
% 40.83/41.02
% 40.83/41.02 Search stopped by max_proofs option.
% 40.83/41.02
% 40.83/41.02 ============ end of search ============
% 40.83/41.02
% 40.83/41.02 ----------- soft-scott stats ----------
% 40.83/41.02
% 40.83/41.02 true clauses given 560 (33.9%)
% 40.83/41.02 false clauses given 1093
% 40.83/41.02
% 40.83/41.02 FALSE TRUE
% 40.83/41.02 12 0 184
% 40.83/41.02 13 0 350
% 40.83/41.02 14 0 565
% 40.83/41.02 15 191 1113
% 40.83/41.02 16 984 288
% 40.83/41.02 17 1227 2
% 40.83/41.02 18 106 13
% 40.83/41.02 tot: 2508 2515 (50.1% true)
% 40.83/41.02
% 40.83/41.02
% 40.83/41.02 Model 26 [ 13 1 1192 ] (0.00 seconds, 250000 Inserts)
% 40.83/41.02
% 40.83/41.02 That finishes the proof of the theorem.
% 40.83/41.02
% 40.83/41.02 Process 23253 finished Sun Jul 10 19:52:22 2022
%------------------------------------------------------------------------------