TSTP Solution File: SET651+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 05:19:49 EDT 2022
% Result : Theorem 187.25s 187.43s
% Output : Refutation 187.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 08:11:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 ----- Otter 3.2, August 2001 -----
% 0.13/0.38 The process was started by sandbox on n019.cluster.edu,
% 0.13/0.38 Mon Jul 11 08:11:38 2022
% 0.13/0.38 The command was "./sos". The process ID is 5299.
% 0.13/0.38
% 0.13/0.38 set(prolog_style_variables).
% 0.13/0.38 set(auto).
% 0.13/0.38 dependent: set(auto1).
% 0.13/0.38 dependent: set(process_input).
% 0.13/0.38 dependent: clear(print_kept).
% 0.13/0.38 dependent: clear(print_new_demod).
% 0.13/0.38 dependent: clear(print_back_demod).
% 0.13/0.38 dependent: clear(print_back_sub).
% 0.13/0.38 dependent: set(control_memory).
% 0.13/0.38 dependent: assign(max_mem, 12000).
% 0.13/0.38 dependent: assign(pick_given_ratio, 4).
% 0.13/0.38 dependent: assign(stats_level, 1).
% 0.13/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38 dependent: assign(sos_limit, 5000).
% 0.13/0.38 dependent: assign(max_weight, 60).
% 0.13/0.38 clear(print_given).
% 0.13/0.38
% 0.13/0.38 formula_list(usable).
% 0.13/0.38
% 0.13/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.13/0.38
% 0.13/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38 clauses in usable.
% 0.13/0.38
% 0.13/0.38 dependent: set(knuth_bendix).
% 0.13/0.38 dependent: set(para_from).
% 0.13/0.38 dependent: set(para_into).
% 0.13/0.38 dependent: clear(para_from_right).
% 0.13/0.38 dependent: clear(para_into_right).
% 0.13/0.38 dependent: set(para_from_vars).
% 0.13/0.38 dependent: set(eq_units_both_ways).
% 0.13/0.38 dependent: set(dynamic_demod_all).
% 0.13/0.38 dependent: set(dynamic_demod).
% 0.13/0.38 dependent: set(order_eq).
% 0.13/0.38 dependent: set(back_demod).
% 0.13/0.38 dependent: set(lrpo).
% 0.13/0.38 dependent: set(hyper_res).
% 0.13/0.38 dependent: set(unit_deletion).
% 0.13/0.38 dependent: set(factor).
% 0.13/0.38
% 0.13/0.38 ------------> process usable:
% 0.13/0.38
% 0.13/0.38 ------------> process sos:
% 0.13/0.38 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c5,set_type).
% 0.13/0.38 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.13/0.38 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.13/0.38 92 back subsumes 76.
% 0.13/0.38 92 back subsumes 75.
% 0.13/0.38 92 back subsumes 70.
% 0.13/0.38 92 back subsumes 64.
% 0.13/0.38 92 back subsumes 63.
% 0.13/0.38 92 back subsumes 44.
% 0.13/0.38 92 back subsumes 39.
% 0.13/0.38 92 back subsumes 36.
% 0.13/0.38 92 back subsumes 35.
% 0.13/0.38 92 back subsumes 31.
% 0.13/0.38 92 back subsumes 27.
% 0.13/0.38 92 back subsumes 19.
% 0.13/0.38 92 back subsumes 18.
% 0.13/0.38 92 back subsumes 17.
% 0.13/0.38 92 back subsumes 14.
% 0.13/0.38 92 back subsumes 12.
% 0.13/0.38 92 back subsumes 9.
% 0.13/0.38 Following clause subsumed by 95 during input processing: 0 [copy,95,flip.1] {-} A=A.
% 0.13/0.38
% 0.13/0.38 ======= end of input processing =======
% 0.20/0.42
% 0.20/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.42
% 0.20/0.42 Stopped by limit on number of solutions
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 -------------- Softie stats --------------
% 0.20/0.42
% 0.20/0.42 UPDATE_STOP: 300
% 0.20/0.42 SFINDER_TIME_LIMIT: 2
% 0.20/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.42 number of clauses in intial UL: 72
% 0.20/0.42 number of clauses initially in problem: 77
% 0.20/0.42 percentage of clauses intially in UL: 93
% 0.20/0.42 percentage of distinct symbols occuring in initial UL: 93
% 0.20/0.42 percent of all initial clauses that are short: 100
% 0.20/0.42 absolute distinct symbol count: 31
% 0.20/0.42 distinct predicate count: 6
% 0.20/0.42 distinct function count: 18
% 0.20/0.42 distinct constant count: 7
% 0.20/0.42
% 0.20/0.42 ---------- no more Softie stats ----------
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.42
% 0.20/0.42 Stopped by limit on number of solutions
% 0.20/0.42
% 0.20/0.42 =========== start of search ===========
% 6.32/6.55
% 6.32/6.55
% 6.32/6.55 Changing weight limit from 60 to 20.
% 6.32/6.55
% 6.32/6.55 Model 3 (0.00 seconds, 0 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on number of solutions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 4 [ 3 0 723 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 5 [ 2 1 2023 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 6 [ 2 1 12250 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 7 [ 2 1 6296 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 8 [ 2 1 9928 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 9 [ 1 3 43316 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 10 [ 4 1 616 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 11 [ 3 0 945 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 12 [ 11 1 2273 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 13 [ 3 0 1044 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 14 [ 4 1 7297 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 15 [ 17 0 1246 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 16 [ 9 1 2652 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 17 [ 12 0 260 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 18 [ 18 1 4475 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 19 [ 23 1 363 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 20 [ 4 1 3654 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 21 [ 6 1 7080 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 22 [ 2 2 14888 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 23 [ 23 1 5018 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 24 [ 24 1 316 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 25 [ 32 0 3580 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.55 Model 26 [ 19 1 2812 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.55
% 6.32/6.55 Stopped by limit on insertions
% 6.32/6.55
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 27 [ 16 1 11377 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 28 [ 26 0 184 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 29 [ 9 0 1803 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 30 [ 36 1 4828 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 31 [ 15 1 992 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 32 [ 36 0 1410 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 33 [ 46 1 2848 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Stopped by limit on insertions
% 6.32/6.56
% 6.32/6.56 Model 34 [ 21 1 1013 ] (0.00 seconds, 250000 Inserts)
% 6.32/6.56
% 6.32/6.56 Resetting weight limit to 20 after 90 givens.
% 6.32/6.56
% 6.41/6.63
% 6.41/6.63
% 6.41/6.63 Changing weight limit from 20 to 18.
% 6.41/6.63
% 6.41/6.63 Resetting weight limit to 18 after 95 givens.
% 6.41/6.63
% 6.51/6.69
% 6.51/6.69
% 6.51/6.69 Changing weight limit from 18 to 17.
% 6.51/6.69
% 6.51/6.69 Resetting weight limit to 17 after 100 givens.
% 6.51/6.69
% 6.54/6.76
% 6.54/6.76
% 6.54/6.76 Changing weight limit from 17 to 16.
% 6.54/6.76
% 6.54/6.76 Resetting weight limit to 16 after 105 givens.
% 6.54/6.76
% 187.25/187.43
% 187.25/187.43 -- HEY sandbox, WE HAVE A PROOF!! --
% 187.25/187.43
% 187.25/187.43 Stopped by limit on insertions
% 187.25/187.43
% 187.25/187.43 Stopped by limit on insertions
% 187.25/187.43
% 187.25/187.43 Stopped by limit on insertions
% 187.25/187.43
% 187.25/187.43 Model 35 [ 28 2 5614 ] (0.00 seconds, 250000 Inserts)
% 187.25/187.43
% 187.25/187.43 Stopped by limit on insertions
% 187.25/187.43
% 187.25/187.43 Modelling stopped after 300 given clauses and 0.00 seconds
% 187.25/187.43
% 187.25/187.43
% 187.25/187.43 ----> UNIT CONFLICT at 169.15 sec ----> 106772 [binary,106771.1,47.1] {+} $F.
% 187.25/187.43
% 187.25/187.43 Length of proof is 30. Level of proof is 15.
% 187.25/187.43
% 187.25/187.43 ---------------- PROOF ----------------
% 187.25/187.43 % SZS status Theorem
% 187.25/187.43 % SZS output start Refutation
% 187.25/187.43
% 187.25/187.43 1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(B,C)|subset(A,C).
% 187.25/187.43 2 [] {+} -ilf_type(A,binary_relation_type)|subset(A,cross_product(domain_of(A),range_of(A))).
% 187.25/187.43 3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -subset(A,B)| -subset(C,D)|subset(cross_product(A,C),cross_product(B,D)).
% 187.25/187.43 4 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 187.25/187.43 5 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 187.25/187.43 8 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|subset(range_of(C),B).
% 187.25/187.43 13 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 187.25/187.43 21 [] {+} -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 187.25/187.43 22 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 187.25/187.43 23 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 187.25/187.43 24 [] {+} -ilf_type(A,set_type)|ilf_type($f4(A),subset_type(A)).
% 187.25/187.43 25 [] {+} -ilf_type(A,set_type)|subset(A,A).
% 187.25/187.43 26 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 187.25/187.43 28 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f5(A,B),A).
% 187.25/187.43 29 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f5(A,B),B).
% 187.25/187.43 32 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 187.25/187.43 33 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 187.25/187.43 42 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 187.25/187.43 43 [] {+} -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 187.25/187.43 47 [] {+} -ilf_type($c2,relation_type($c4,$c3)).
% 187.25/187.43 48 [factor,3.1.2] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,A)| -subset(B,C)|subset(cross_product(A,B),cross_product(A,C)).
% 187.25/187.43 53 [factor,3.3.4] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(C,C)|subset(cross_product(A,C),cross_product(B,C)).
% 187.25/187.43 72 [factor,29.1.2] {+} -ilf_type(A,set_type)|member(A,power_set(A))| -member($f5(A,A),A).
% 187.25/187.43 92 [] {+} ilf_type(A,set_type).
% 187.25/187.43 93 [] {-} ilf_type($c2,relation_type($c5,$c3)).
% 187.25/187.43 94 [] {+} subset(domain_of($c2),$c4).
% 187.25/187.43 102 [hyper,92,28,92] {+} member(A,power_set(B))|member($f5(A,B),A).
% 187.25/187.43 103 [hyper,92,25] {+} subset(A,A).
% 187.25/187.43 104 [hyper,92,24] {-} ilf_type($f4(A),subset_type(A)).
% 187.25/187.43 113 [hyper,103,53,92,92,92,94] {-} subset(cross_product(domain_of($c2),A),cross_product($c4,A)).
% 187.25/187.43 115 [hyper,93,8,92,92] {+} subset(range_of($c2),$c3).
% 187.25/187.43 117 [hyper,93,5,92,92] {-} ilf_type($c2,subset_type(cross_product($c5,$c3))).
% 187.25/187.43 121 [hyper,104,22,92,92] {+} ilf_type($f4(A),member_type(power_set(A))).
% 187.25/187.43 130 [hyper,115,48,92,92,92,103] {-} subset(cross_product(A,range_of($c2)),cross_product(A,$c3)).
% 187.25/187.43 159 [hyper,117,42,92,92] {+} relation_like($c2).
% 187.25/187.43 161 [hyper,121,32,92,92] {-} empty(power_set(A))|member($f4(A),power_set(A)).
% 187.25/187.43 163 [hyper,159,21,92] {-} ilf_type($c2,binary_relation_type).
% 187.25/187.43 166 [hyper,163,2] {-} subset($c2,cross_product(domain_of($c2),range_of($c2))).
% 187.25/187.43 282 [hyper,102,72,92,factor_simp] {-} member(A,power_set(A)).
% 187.25/187.43 788 [hyper,113,1,92,92,92,166] {-} subset($c2,cross_product($c4,range_of($c2))).
% 187.25/187.43 1095 [hyper,130,1,92,92,92,788] {-} subset($c2,cross_product($c4,$c3)).
% 187.25/187.43 1140 [hyper,1095,13,92,92,92,102] {-} member($f5($c2,A),cross_product($c4,$c3))|member($c2,power_set(A)).
% 187.25/187.43 2288 [hyper,161,43,92,92,282] {+} member($f4(A),power_set(A)).
% 187.25/187.43 2407 [hyper,2288,26,92,92,92,102] {+} member($f5($f4(A),B),A)|member($f4(A),power_set(B)).
% 187.25/187.43 20984 [hyper,1140,29,92,92,factor_simp] {-} member($c2,power_set(cross_product($c4,$c3))).
% 187.25/187.43 20994 [hyper,20984,33,92,92] {+} empty(power_set(cross_product($c4,$c3)))|ilf_type($c2,member_type(power_set(cross_product($c4,$c3)))).
% 187.25/187.43 40988 [hyper,2407,26,92,92,20984,92] {-} member($f4($c2),power_set(A))|member($f5($f4($c2),A),cross_product($c4,$c3)).
% 187.25/187.43 41005 [hyper,40988,29,92,92,factor_simp] {-} member($f4($c2),power_set(cross_product($c4,$c3))).
% 187.25/187.43 41091 [hyper,41005,26,92,92,92,2407] {-} member($f5($f4($f4($c2)),A),cross_product($c4,$c3))|member($f4($f4($c2)),power_set(A)).
% 187.25/187.43 103114 [hyper,41091,29,92,92,factor_simp] {-} member($f4($f4($c2)),power_set(cross_product($c4,$c3))).
% 187.25/187.43 106755 [hyper,20994,43,92,92,103114] {+} ilf_type($c2,member_type(power_set(cross_product($c4,$c3)))).
% 187.25/187.43 106770 [hyper,106755,23,92,92] {-} ilf_type($c2,subset_type(cross_product($c4,$c3))).
% 187.25/187.43 106771 [hyper,106770,4,92,92] {-} ilf_type($c2,relation_type($c4,$c3)).
% 187.25/187.43 106772 [binary,106771.1,47.1] {+} $F.
% 187.25/187.43
% 187.25/187.43 % SZS output end Refutation
% 187.25/187.43 ------------ end of proof -------------
% 187.25/187.43
% 187.25/187.43
% 187.25/187.43 Search stopped by max_proofs option.
% 187.25/187.43
% 187.25/187.43
% 187.25/187.43 Search stopped by max_proofs option.
% 187.25/187.43
% 187.25/187.43 ============ end of search ============
% 187.25/187.43
% 187.25/187.43 ----------- soft-scott stats ----------
% 187.25/187.43
% 187.25/187.43 true clauses given 2098 (35.3%)
% 187.25/187.43 false clauses given 3852
% 187.25/187.43
% 187.25/187.43 FALSE TRUE
% 187.25/187.43 12 0 654
% 187.25/187.43 13 0 1642
% 187.25/187.43 14 0 199
% 187.25/187.43 15 752 5
% 187.25/187.43 16 1712 0
% 187.25/187.43 tot: 2464 2500 (50.4% true)
% 187.25/187.43
% 187.25/187.43
% 187.25/187.43 Model 35 [ 28 -50 5614 ] (0.02 seconds, 250000 Inserts)
% 187.25/187.43
% 187.25/187.43 That finishes the proof of the theorem.
% 187.25/187.43
% 187.25/187.43 Process 5299 finished Mon Jul 11 08:14:45 2022
%------------------------------------------------------------------------------