TSTP Solution File: SET652+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 05:19:50 EDT 2022
% Result : Theorem 219.36s 219.67s
% Output : Refutation 219.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.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 14:01:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n018.cluster.edu,
% 0.12/0.36 Sun Jul 10 14:01:42 2022
% 0.12/0.36 The command was "./sos". The process ID is 13872.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c5,set_type).
% 0.12/0.36 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.12/0.36 Following clause subsumed by 92 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.12/0.36 92 back subsumes 76.
% 0.12/0.36 92 back subsumes 75.
% 0.12/0.36 92 back subsumes 70.
% 0.12/0.36 92 back subsumes 64.
% 0.12/0.36 92 back subsumes 63.
% 0.12/0.36 92 back subsumes 44.
% 0.12/0.36 92 back subsumes 39.
% 0.12/0.36 92 back subsumes 36.
% 0.12/0.36 92 back subsumes 35.
% 0.12/0.36 92 back subsumes 31.
% 0.12/0.36 92 back subsumes 27.
% 0.12/0.36 92 back subsumes 19.
% 0.12/0.36 92 back subsumes 18.
% 0.12/0.36 92 back subsumes 17.
% 0.12/0.36 92 back subsumes 14.
% 0.12/0.36 92 back subsumes 12.
% 0.12/0.36 92 back subsumes 9.
% 0.12/0.36 Following clause subsumed by 95 during input processing: 0 [copy,95,flip.1] {-} A=A.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 72
% 0.12/0.38 number of clauses initially in problem: 77
% 0.12/0.38 percentage of clauses intially in UL: 93
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 93
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 31
% 0.12/0.38 distinct predicate count: 6
% 0.12/0.38 distinct function count: 18
% 0.12/0.38 distinct constant count: 7
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 5.63/5.80
% 5.63/5.80
% 5.63/5.80 Changing weight limit from 60 to 31.
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 2 [ 1 3 32832 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 3 [ 2 0 5828 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 4 [ 1 1 12161 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 5 [ 1 2 28064 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 6 [ 3 1 11466 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 7 [ 12 0 224 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 8 [ 3 0 5969 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 9 [ 1 2 31397 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 10 [ 7 1 1450 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 11 [ 9 1 1067 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 12 [ 4 1 2612 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 13 [ 13 0 538 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 14 [ 12 1 1193 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 15 [ 4 2 18185 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 16 [ 11 1 1628 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 17 [ 7 0 524 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 18 [ 2 2 15506 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 19 [ 9 1 6831 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 20 [ 32 1 2898 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 21 [ 18 0 939 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 22 [ 2 1 8698 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 23 [ 26 3 26264 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 24 [ 19 1 2844 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 25 [ 32 1 995 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 26 [ 13 1 4792 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 27 [ 25 5 38709 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 28 [ 30 1 1213 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Stopped by limit on insertions
% 5.63/5.80
% 5.63/5.80 Model 29 [ 18 1 3934 ] (0.00 seconds, 250000 Inserts)
% 5.63/5.80
% 5.63/5.80 Resetting weight limit to 31 after 110 givens.
% 5.63/5.80
% 5.83/6.01
% 5.83/6.01
% 5.83/6.01 Changing weight limit from 31 to 21.
% 5.83/6.01
% 5.83/6.01 Resetting weight limit to 21 after 115 givens.
% 5.83/6.01
% 5.92/6.14
% 5.92/6.14
% 5.92/6.14 Changing weight limit from 21 to 20.
% 5.92/6.14
% 5.92/6.14 Resetting weight limit to 20 after 120 givens.
% 5.92/6.14
% 6.04/6.23
% 6.04/6.23
% 6.04/6.23 Changing weight limit from 20 to 19.
% 6.04/6.23
% 6.04/6.23 Resetting weight limit to 19 after 125 givens.
% 6.04/6.23
% 7.84/8.02
% 7.84/8.02
% 7.84/8.02 Changing weight limit from 19 to 18.
% 7.84/8.02
% 7.84/8.02 Stopped by limit on insertions
% 7.84/8.02
% 7.84/8.02 Model 30 [ 48 27 212204 ] (0.00 seconds, 250000 Inserts)
% 7.84/8.02
% 7.84/8.02 Stopped by limit on insertions
% 7.84/8.02
% 7.84/8.02 Model 31 [ 27 1 3858 ] (0.00 seconds, 250000 Inserts)
% 7.84/8.02
% 7.84/8.02 Resetting weight limit to 18 after 160 givens.
% 7.84/8.02
% 7.92/8.13
% 7.92/8.13
% 7.92/8.13 Changing weight limit from 18 to 17.
% 7.92/8.13
% 7.92/8.13 Resetting weight limit to 17 after 165 givens.
% 7.92/8.13
% 8.01/8.19
% 8.01/8.19
% 8.01/8.19 Changing weight limit from 17 to 16.
% 8.01/8.19
% 8.01/8.19 Resetting weight limit to 16 after 175 givens.
% 8.01/8.19
% 11.45/11.69
% 11.45/11.69
% 11.45/11.69 Changing weight limit from 16 to 17.
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 32 [ 45 1 6047 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 33 [ 26 1 484 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 34 [ 32 3 21374 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 35 [ 23 1 1280 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 36 [ 25 2 11479 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 37 [ 38 1 5103 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Stopped by limit on insertions
% 11.45/11.69
% 11.45/11.69 Model 38 [ 43 4 53576 ] (0.00 seconds, 250000 Inserts)
% 11.45/11.69
% 11.45/11.69 Resetting weight limit to 17 after 440 givens.
% 11.45/11.69
% 11.52/11.71
% 11.52/11.71
% 11.52/11.71 Changing weight limit from 17 to 18.
% 11.52/11.71
% 11.52/11.71 Resetting weight limit to 18 after 445 givens.
% 11.52/11.71
% 12.24/12.42
% 12.24/12.42
% 12.24/12.42 Changing weight limit from 18 to 17.
% 12.24/12.42
% 12.24/12.42 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.24/12.42
% 12.24/12.42
% 12.24/12.42 Resetting weight limit to 17 after 505 givens.
% 12.24/12.42
% 12.55/12.74
% 12.55/12.74
% 12.55/12.74 Changing weight limit from 17 to 16.
% 12.55/12.74
% 12.55/12.74 Resetting weight limit to 16 after 530 givens.
% 12.55/12.74
% 12.64/12.89
% 12.64/12.89
% 12.64/12.89 Changing weight limit from 16 to 15.
% 12.64/12.89
% 12.64/12.89 Resetting weight limit to 15 after 545 givens.
% 12.64/12.89
% 13.53/13.71
% 13.53/13.71
% 13.53/13.71 Changing weight limit from 15 to 14.
% 13.53/13.71
% 13.53/13.71 Resetting weight limit to 14 after 675 givens.
% 13.53/13.71
% 216.75/217.02
% 216.75/217.02
% 216.75/217.02 Changing weight limit from 14 to 15.
% 216.75/217.02
% 216.75/217.02 Resetting weight limit to 15 after 6965 givens.
% 216.75/217.02
% 216.85/217.15
% 216.85/217.15
% 216.85/217.15 Changing weight limit from 15 to 14.
% 216.85/217.15
% 216.85/217.15 Resetting weight limit to 14 after 6970 givens.
% 216.85/217.15
% 217.05/217.33
% 217.05/217.33
% 217.05/217.33 Changing weight limit from 14 to 15.
% 217.05/217.33
% 217.05/217.33 Resetting weight limit to 15 after 6975 givens.
% 217.05/217.33
% 217.46/217.72
% 217.46/217.72
% 217.46/217.72 Changing weight limit from 15 to 16.
% 217.46/217.72
% 217.46/217.72 Resetting weight limit to 16 after 6985 givens.
% 217.46/217.72
% 217.62/217.90
% 217.62/217.90
% 217.62/217.90 Changing weight limit from 16 to 14.
% 217.62/217.90
% 217.62/217.90 Resetting weight limit to 14 after 6990 givens.
% 217.62/217.90
% 218.07/218.38
% 218.07/218.38
% 218.07/218.38 Changing weight limit from 14 to 15.
% 218.07/218.38
% 218.07/218.38 Resetting weight limit to 15 after 7000 givens.
% 218.07/218.38
% 219.36/219.67
% 219.36/219.67 -- HEY sandbox, WE HAVE A PROOF!! --
% 219.36/219.67
% 219.36/219.67 ----> UNIT CONFLICT at 193.10 sec ----> 62657 [binary,62656.1,47.1] {+} $F.
% 219.36/219.67
% 219.36/219.67 Length of proof is 23. Level of proof is 11.
% 219.36/219.67
% 219.36/219.67 ---------------- PROOF ----------------
% 219.36/219.67 % SZS status Theorem
% 219.36/219.67 % SZS output start Refutation
% 219.36/219.67
% 219.36/219.67 1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(B,C)|subset(A,C).
% 219.36/219.67 2 [] {+} -ilf_type(A,binary_relation_type)|subset(A,cross_product(domain_of(A),range_of(A))).
% 219.36/219.67 3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -subset(A,B)| -subset(C,D)|subset(cross_product(A,C),cross_product(B,D)).
% 219.36/219.67 4 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 219.36/219.67 5 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 219.36/219.67 7 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|subset(domain_of(C),A).
% 219.36/219.67 13 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 219.36/219.67 21 [] {+} -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 219.36/219.67 22 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 219.36/219.67 23 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 219.36/219.67 24 [] {+} -ilf_type(A,set_type)|ilf_type($f4(A),subset_type(A)).
% 219.36/219.67 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).
% 219.36/219.67 28 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f5(A,B),A).
% 219.36/219.67 29 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f5(A,B),B).
% 219.36/219.67 32 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 219.36/219.67 33 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 219.36/219.67 42 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 219.36/219.67 43 [] {+} -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 219.36/219.67 47 [] {+} -ilf_type($c2,relation_type($c3,$c4)).
% 219.36/219.67 72 [factor,29.1.2] {+} -ilf_type(A,set_type)|member(A,power_set(A))| -member($f5(A,A),A).
% 219.36/219.67 92 [] {-} ilf_type(A,set_type).
% 219.36/219.67 93 [] {-} ilf_type($c2,relation_type($c3,$c5)).
% 219.36/219.67 94 [] {+} subset(range_of($c2),$c4).
% 219.36/219.67 102 [hyper,92,28,92] {+} member(A,power_set(B))|member($f5(A,B),A).
% 219.36/219.67 104 [hyper,92,24] {+} ilf_type($f4(A),subset_type(A)).
% 219.36/219.67 115 [hyper,93,7,92,92] {+} subset(domain_of($c2),$c3).
% 219.36/219.67 116 [hyper,93,5,92,92] {-} ilf_type($c2,subset_type(cross_product($c3,$c5))).
% 219.36/219.67 120 [hyper,104,22,92,92] {+} ilf_type($f4(A),member_type(power_set(A))).
% 219.36/219.67 203 [hyper,115,3,92,92,92,92,94] {-} subset(cross_product(domain_of($c2),range_of($c2)),cross_product($c3,$c4)).
% 219.36/219.67 256 [hyper,116,42,92,92] {+} relation_like($c2).
% 219.36/219.67 259 [hyper,256,21,92] {+} ilf_type($c2,binary_relation_type).
% 219.36/219.67 262 [hyper,259,2] {+} subset($c2,cross_product(domain_of($c2),range_of($c2))).
% 219.36/219.67 263 [hyper,120,32,92,92] {+} empty(power_set(A))|member($f4(A),power_set(A)).
% 219.36/219.67 310 [hyper,102,72,92,factor_simp] {+} member(A,power_set(A)).
% 219.36/219.67 716 [hyper,263,43,92,92,310] {-} member($f4(A),power_set(A)).
% 219.36/219.67 722 [hyper,716,26,92,92,92,102] {-} member($f5($f4(A),B),A)|member($f4(A),power_set(B)).
% 219.36/219.67 3375 [hyper,262,1,92,92,92,203] {-} subset($c2,cross_product($c3,$c4)).
% 219.36/219.67 3441 [hyper,3375,13,92,92,92,102] {+} member($f5($c2,A),cross_product($c3,$c4))|member($c2,power_set(A)).
% 219.36/219.67 28789 [hyper,722,13,92,92,3375,92] {+} member($f4($c2),power_set(A))|member($f5($f4($c2),A),cross_product($c3,$c4)).
% 219.36/219.67 50661 [hyper,3441,29,92,92,factor_simp] {+} member($c2,power_set(cross_product($c3,$c4))).
% 219.36/219.67 50672 [hyper,50661,33,92,92] {+} empty(power_set(cross_product($c3,$c4)))|ilf_type($c2,member_type(power_set(cross_product($c3,$c4)))).
% 219.36/219.67 60034 [hyper,28789,29,92,92,factor_simp] {+} member($f4($c2),power_set(cross_product($c3,$c4))).
% 219.36/219.67 62639 [hyper,50672,43,92,92,60034] {+} ilf_type($c2,member_type(power_set(cross_product($c3,$c4)))).
% 219.36/219.67 62655 [hyper,62639,23,92,92] {-} ilf_type($c2,subset_type(cross_product($c3,$c4))).
% 219.36/219.67 62656 [hyper,62655,4,92,92] {-} ilf_type($c2,relation_type($c3,$c4)).
% 219.36/219.67 62657 [binary,62656.1,47.1] {+} $F.
% 219.36/219.67
% 219.36/219.67 % SZS output end Refutation
% 219.36/219.67 ------------ end of proof -------------
% 219.36/219.67
% 219.36/219.67
% 219.36/219.67 Search stopped by max_proofs option.
% 219.36/219.67
% 219.36/219.67
% 219.36/219.67 Search stopped by max_proofs option.
% 219.36/219.67
% 219.36/219.67 ============ end of search ============
% 219.36/219.67
% 219.36/219.67 ----------- soft-scott stats ----------
% 219.36/219.67
% 219.36/219.67 true clauses given 2568 (36.5%)
% 219.36/219.67 false clauses given 4462
% 219.36/219.67
% 219.36/219.67 FALSE TRUE
% 219.36/219.67 12 0 258
% 219.36/219.67 13 0 1400
% 219.36/219.67 14 767 842
% 219.36/219.67 15 47 0
% 219.36/219.67 tot: 814 2500 (75.4% true)
% 219.36/219.67
% 219.36/219.67
% 219.36/219.67 Model 38 [ 43 4 53576 ] (0.02 seconds, 250000 Inserts)
% 219.36/219.67
% 219.36/219.67 That finishes the proof of the theorem.
% 219.36/219.67
% 219.36/219.67 Process 13872 finished Sun Jul 10 14:05:22 2022
%------------------------------------------------------------------------------