TSTP Solution File: SET647+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET647+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 05:19:47 EDT 2022
% Result : Theorem 19.51s 19.76s
% Output : Refutation 19.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n011.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
% 0.13/0.33 % DateTime : Sun Jul 10 00:27:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n011.cluster.edu,
% 0.19/0.36 Sun Jul 10 00:27:26 2022
% 0.19/0.36 The command was "./sos". The process ID is 31846.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 86 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.19/0.36 86 back subsumes 77.
% 0.19/0.36 86 back subsumes 68.
% 0.19/0.36 86 back subsumes 67.
% 0.19/0.36 86 back subsumes 64.
% 0.19/0.36 86 back subsumes 63.
% 0.19/0.36 86 back subsumes 46.
% 0.19/0.36 86 back subsumes 41.
% 0.19/0.36 86 back subsumes 37.
% 0.19/0.36 86 back subsumes 32.
% 0.19/0.36 86 back subsumes 29.
% 0.19/0.36 86 back subsumes 28.
% 0.19/0.36 86 back subsumes 23.
% 0.19/0.36 86 back subsumes 22.
% 0.19/0.36 86 back subsumes 19.
% 0.19/0.36 86 back subsumes 15.
% 0.19/0.36 86 back subsumes 12.
% 0.19/0.36 86 back subsumes 11.
% 0.19/0.36 86 back subsumes 8.
% 0.19/0.36 Following clause subsumed by 89 during input processing: 0 [copy,89,flip.1] {-} A=A.
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.40
% 0.19/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 -------------- Softie stats --------------
% 0.19/0.40
% 0.19/0.40 UPDATE_STOP: 300
% 0.19/0.40 SFINDER_TIME_LIMIT: 2
% 0.19/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40 number of clauses in intial UL: 65
% 0.19/0.40 number of clauses initially in problem: 70
% 0.19/0.40 percentage of clauses intially in UL: 92
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 96
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 30
% 0.19/0.40 distinct predicate count: 6
% 0.19/0.40 distinct function count: 19
% 0.19/0.40 distinct constant count: 5
% 0.19/0.40
% 0.19/0.40 ---------- no more Softie stats ----------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 =========== start of search ===========
% 6.18/6.40
% 6.18/6.40
% 6.18/6.40 Changing weight limit from 60 to 59.
% 6.18/6.40
% 6.18/6.40 Model 3 (0.00 seconds, 0 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on number of solutions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 4 [ 2 0 1764 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 5 [ 2 1 5187 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 6 [ 3 0 633 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 7 [ 4 1 3105 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 8 [ 18 1 371 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 9 [ 3 1 1871 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 10 [ 5 0 593 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 11 [ 10 1 3850 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 12 [ 2 1 6338 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 13 [ 3 1 8527 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 14 [ 9 0 617 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 15 [ 6 0 1431 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 16 [ 16 1 4357 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 17 [ 23 1 817 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 18 [ 11 1 3080 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 19 [ 4 1 1969 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 20 [ 39 0 590 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 21 [ 17 0 1583 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Stopped by limit on insertions
% 6.18/6.40
% 6.18/6.40 Model 22 [ 7 1 2664 ] (0.00 seconds, 250000 Inserts)
% 6.18/6.40
% 6.18/6.40 Resetting weight limit to 59 after 110 givens.
% 6.18/6.40
% 6.96/7.14
% 6.96/7.14
% 6.96/7.14 Changing weight limit from 59 to 49.
% 6.96/7.14
% 6.96/7.14 Resetting weight limit to 49 after 115 givens.
% 6.96/7.14
% 7.21/7.40
% 7.21/7.40
% 7.21/7.40 Changing weight limit from 49 to 47.
% 7.21/7.40
% 7.21/7.40 Resetting weight limit to 47 after 120 givens.
% 7.21/7.40
% 7.88/8.06
% 7.88/8.06
% 7.88/8.06 Changing weight limit from 47 to 35.
% 7.88/8.06
% 7.88/8.06 Resetting weight limit to 35 after 125 givens.
% 7.88/8.06
% 8.54/8.72
% 8.54/8.72
% 8.54/8.72 Changing weight limit from 35 to 32.
% 8.54/8.72
% 8.54/8.72 Resetting weight limit to 32 after 130 givens.
% 8.54/8.72
% 9.49/9.67
% 9.49/9.67
% 9.49/9.67 Changing weight limit from 32 to 30.
% 9.49/9.67
% 9.49/9.67 Resetting weight limit to 30 after 135 givens.
% 9.49/9.67
% 9.87/10.08
% 9.87/10.08
% 9.87/10.08 Changing weight limit from 30 to 29.
% 9.87/10.08
% 9.87/10.08 Resetting weight limit to 29 after 140 givens.
% 9.87/10.08
% 10.57/10.77
% 10.57/10.77
% 10.57/10.77 Changing weight limit from 29 to 28.
% 10.57/10.77
% 10.57/10.77 Resetting weight limit to 28 after 145 givens.
% 10.57/10.77
% 12.13/12.31
% 12.13/12.31
% 12.13/12.31 Changing weight limit from 28 to 27.
% 12.13/12.31
% 12.13/12.31 Resetting weight limit to 27 after 155 givens.
% 12.13/12.31
% 14.21/14.45
% 14.21/14.45
% 14.21/14.45 Changing weight limit from 27 to 26.
% 14.21/14.45
% 14.21/14.45 Resetting weight limit to 26 after 175 givens.
% 14.21/14.45
% 16.10/16.27
% 16.10/16.27
% 16.10/16.27 Changing weight limit from 26 to 25.
% 16.10/16.27
% 16.10/16.27 Resetting weight limit to 25 after 195 givens.
% 16.10/16.27
% 18.76/18.95
% 18.76/18.95
% 18.76/18.95 Changing weight limit from 25 to 24.
% 18.76/18.95
% 18.76/18.95 Resetting weight limit to 24 after 245 givens.
% 18.76/18.95
% 19.51/19.76
% 19.51/19.76 -- HEY sandbox, WE HAVE A PROOF!! --
% 19.51/19.76
% 19.51/19.76 ----> UNIT CONFLICT at 19.34 sec ----> 26007 [binary,26006.1,49.1] {+} $F.
% 19.51/19.76
% 19.51/19.76 Length of proof is 10. Level of proof is 8.
% 19.51/19.76
% 19.51/19.76 ---------------- PROOF ----------------
% 19.51/19.76 % SZS status Theorem
% 19.51/19.76 % SZS output start Refutation
% 19.51/19.76
% 19.51/19.76 1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(B,C)|subset(A,C).
% 19.51/19.76 2 [] {+} -ilf_type(A,binary_relation_type)|subset(A,cross_product(domain_of(A),range_of(A))).
% 19.51/19.76 3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)|subset(cross_product(A,C),cross_product(B,C)).
% 19.51/19.76 5 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 19.51/19.76 18 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 19.51/19.76 25 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 19.51/19.76 38 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f9(A,B),A).
% 19.51/19.76 39 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f9(A,B),B).
% 19.51/19.76 43 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 19.51/19.76 45 [] {+} -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 19.51/19.76 49 [] {+} -ilf_type($c2,relation_type($c3,range_of($c2))).
% 19.51/19.76 86 [] {+} ilf_type(A,set_type).
% 19.51/19.76 87 [] {-} ilf_type($c2,binary_relation_type).
% 19.51/19.76 88 [] {+} subset(domain_of($c2),$c3).
% 19.51/19.76 95 [hyper,86,38,86] {-} member(A,power_set(B))|member($f9(A,B),A).
% 19.51/19.76 107 [hyper,88,3,86,86,86] {-} subset(cross_product(domain_of($c2),A),cross_product($c3,A)).
% 19.51/19.76 109 [hyper,87,2] {+} subset($c2,cross_product(domain_of($c2),range_of($c2))).
% 19.51/19.76 214 [hyper,109,1,86,86,86,107] {-} subset($c2,cross_product($c3,range_of($c2))).
% 19.51/19.76 220 [hyper,214,18,86,86,86,95] {+} member($f9($c2,A),cross_product($c3,range_of($c2)))|member($c2,power_set(A)).
% 19.51/19.76 25458 [hyper,220,39,86,86,factor_simp] {-} member($c2,power_set(cross_product($c3,range_of($c2)))).
% 19.51/19.76 25604 [hyper,25458,43,86,86] {-} empty(power_set(cross_product($c3,range_of($c2))))|ilf_type($c2,member_type(power_set(cross_product($c3,range_of($c2))))).
% 19.51/19.76 25910 [hyper,25604,45,86,86,25458] {-} ilf_type($c2,member_type(power_set(cross_product($c3,range_of($c2))))).
% 19.51/19.76 25911 [hyper,25910,25,86,86] {-} ilf_type($c2,subset_type(cross_product($c3,range_of($c2)))).
% 19.51/19.76 26006 [hyper,25911,5,86,86] {-} ilf_type($c2,relation_type($c3,range_of($c2))).
% 19.51/19.76 26007 [binary,26006.1,49.1] {+} $F.
% 19.51/19.76
% 19.51/19.76 % SZS output end Refutation
% 19.51/19.76 ------------ end of proof -------------
% 19.51/19.76
% 19.51/19.76
% 19.51/19.76 Search stopped by max_proofs option.
% 19.51/19.76
% 19.51/19.76
% 19.51/19.76 Search stopped by max_proofs option.
% 19.51/19.76
% 19.51/19.76 ============ end of search ============
% 19.51/19.76
% 19.51/19.76 ----------- soft-scott stats ----------
% 19.51/19.76
% 19.51/19.76 true clauses given 88 (33.0%)
% 19.51/19.76 false clauses given 179
% 19.51/19.76
% 19.51/19.76 FALSE TRUE
% 19.51/19.76 9 0 8
% 19.51/19.76 10 0 27
% 19.51/19.76 11 0 49
% 19.51/19.76 12 0 71
% 19.51/19.76 13 0 123
% 19.51/19.76 14 0 124
% 19.51/19.76 15 3 228
% 19.51/19.76 16 49 284
% 19.51/19.76 17 118 359
% 19.51/19.76 18 149 487
% 19.51/19.76 19 231 651
% 19.51/19.76 20 265 112
% 19.51/19.76 21 335 10
% 19.51/19.76 22 403 14
% 19.51/19.76 23 486 13
% 19.51/19.76 24 469 19
% 19.51/19.76 tot: 2508 2579 (50.7% true)
% 19.51/19.76
% 19.51/19.76
% 19.51/19.76 Model 22 [ 7 1 2664 ] (0.00 seconds, 250000 Inserts)
% 19.51/19.76
% 19.51/19.76 That finishes the proof of the theorem.
% 19.51/19.76
% 19.51/19.76 Process 31846 finished Sun Jul 10 00:27:45 2022
%------------------------------------------------------------------------------