TSTP Solution File: SET655+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 05:19:51 EDT 2022
% Result : Theorem 6.42s 6.63s
% Output : Refutation 6.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n029.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 06:43:01 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 sandbox2 on n029.cluster.edu,
% 0.12/0.36 Sun Jul 10 06:43:01 2022
% 0.12/0.36 The command was "./sos". The process ID is 16179.
% 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 78 during input processing: 0 [] {-} ilf_type($c5,set_type).
% 0.12/0.36 Following clause subsumed by 78 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.12/0.36 Following clause subsumed by 78 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.12/0.36 Following clause subsumed by 78 during input processing: 0 [] {-} ilf_type($c2,set_type).
% 0.12/0.36 78 back subsumes 69.
% 0.12/0.36 78 back subsumes 63.
% 0.12/0.36 78 back subsumes 62.
% 0.12/0.36 78 back subsumes 56.
% 0.12/0.36 78 back subsumes 50.
% 0.12/0.36 78 back subsumes 36.
% 0.12/0.36 78 back subsumes 31.
% 0.12/0.36 78 back subsumes 28.
% 0.12/0.36 78 back subsumes 27.
% 0.12/0.36 78 back subsumes 25.
% 0.12/0.36 78 back subsumes 20.
% 0.12/0.36 78 back subsumes 16.
% 0.12/0.36 78 back subsumes 10.
% 0.12/0.36 78 back subsumes 7.
% 0.12/0.36 Following clause subsumed by 82 during input processing: 0 [copy,82,flip.1] {-} A=A.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.18/0.44
% 0.18/0.44 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.44
% 0.18/0.44 Stopped by limit on number of solutions
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 -------------- Softie stats --------------
% 0.18/0.44
% 0.18/0.44 UPDATE_STOP: 300
% 0.18/0.44 SFINDER_TIME_LIMIT: 2
% 0.18/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.44 number of clauses in intial UL: 62
% 0.18/0.44 number of clauses initially in problem: 67
% 0.18/0.44 percentage of clauses intially in UL: 92
% 0.18/0.44 percentage of distinct symbols occuring in initial UL: 92
% 0.18/0.44 percent of all initial clauses that are short: 98
% 0.18/0.44 absolute distinct symbol count: 27
% 0.18/0.44 distinct predicate count: 6
% 0.18/0.44 distinct function count: 15
% 0.18/0.44 distinct constant count: 6
% 0.18/0.44
% 0.18/0.44 ---------- no more Softie stats ----------
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.44
% 0.18/0.44 Stopped by limit on number of solutions
% 0.18/0.44
% 0.18/0.44 =========== start of search ===========
% 3.21/3.40
% 3.21/3.40
% 3.21/3.40 Changing weight limit from 60 to 24.
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 3 [ 1 1 9007 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 4 [ 2 0 4590 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 5 [ 2 0 2448 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 6 [ 3 0 429 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 7 [ 3 1 6079 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 8 [ 4 0 182 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 9 [ 2 0 4865 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 10 [ 3 0 2599 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 11 [ 2 1 5366 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 12 [ 2 1 885 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 13 [ 13 1 1668 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 14 [ 8 1 5310 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 15 [ 16 1 3782 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 16 [ 5 1 2405 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 17 [ 2 1 14417 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 18 [ 4 1 5723 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 19 [ 4 0 1218 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 20 [ 4 0 3565 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 21 [ 8 0 980 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 22 [ 4 1 3907 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Stopped by limit on insertions
% 3.21/3.40
% 3.21/3.40 Model 23 [ 1 1 7890 ] (0.00 seconds, 250000 Inserts)
% 3.21/3.40
% 3.21/3.40 Resetting weight limit to 24 after 125 givens.
% 3.21/3.40
% 3.21/3.45
% 3.21/3.45
% 3.21/3.45 Changing weight limit from 24 to 23.
% 3.21/3.45
% 3.21/3.45 Resetting weight limit to 23 after 130 givens.
% 3.21/3.45
% 3.34/3.54
% 3.34/3.54
% 3.34/3.54 Changing weight limit from 23 to 20.
% 3.34/3.54
% 3.34/3.54 Resetting weight limit to 20 after 135 givens.
% 3.34/3.54
% 3.44/3.66
% 3.44/3.66
% 3.44/3.66 Changing weight limit from 20 to 19.
% 3.44/3.66
% 3.44/3.66 Resetting weight limit to 19 after 145 givens.
% 3.44/3.66
% 3.67/3.86
% 3.67/3.86
% 3.67/3.86 Changing weight limit from 19 to 18.
% 3.67/3.86
% 3.67/3.86 Resetting weight limit to 18 after 180 givens.
% 3.67/3.86
% 3.88/4.10
% 3.88/4.10
% 3.88/4.10 Changing weight limit from 18 to 17.
% 3.88/4.10
% 3.88/4.10 Resetting weight limit to 17 after 200 givens.
% 3.88/4.10
% 4.11/4.34
% 4.11/4.34
% 4.11/4.34 Changing weight limit from 17 to 16.
% 4.11/4.34
% 4.11/4.34 Resetting weight limit to 16 after 240 givens.
% 4.11/4.34
% 4.65/4.85
% 4.65/4.85
% 4.65/4.85 Changing weight limit from 16 to 17.
% 4.65/4.85
% 4.65/4.85 Resetting weight limit to 17 after 420 givens.
% 4.65/4.85
% 4.65/4.86
% 4.65/4.86
% 4.65/4.86 Changing weight limit from 17 to 16.
% 4.65/4.86
% 4.65/4.86 Resetting weight limit to 16 after 425 givens.
% 4.65/4.86
% 4.70/4.93
% 4.70/4.93
% 4.70/4.93 Changing weight limit from 16 to 17.
% 4.70/4.93
% 4.70/4.93 Resetting weight limit to 17 after 455 givens.
% 4.70/4.93
% 4.78/4.96
% 4.78/4.96
% 4.78/4.96 Changing weight limit from 17 to 16.
% 4.78/4.96
% 4.78/4.96 Resetting weight limit to 16 after 460 givens.
% 4.78/4.96
% 5.56/5.76
% 5.56/5.76
% 5.56/5.76 Changing weight limit from 16 to 15.
% 5.56/5.76
% 5.56/5.76 Resetting weight limit to 15 after 625 givens.
% 5.56/5.76
% 5.56/5.77
% 5.56/5.77
% 5.56/5.77 Changing weight limit from 15 to 16.
% 5.56/5.77
% 5.56/5.77 Resetting weight limit to 16 after 630 givens.
% 5.56/5.77
% 5.56/5.79
% 5.56/5.79
% 5.56/5.79 Changing weight limit from 16 to 17.
% 5.56/5.79
% 5.56/5.79 Resetting weight limit to 17 after 640 givens.
% 5.56/5.79
% 5.61/5.83
% 5.61/5.83
% 5.61/5.83 Changing weight limit from 17 to 15.
% 5.61/5.83
% 5.61/5.83 Resetting weight limit to 15 after 645 givens.
% 5.61/5.83
% 5.68/5.94
% 5.68/5.94
% 5.68/5.94 Changing weight limit from 15 to 16.
% 5.68/5.94
% 5.68/5.94 Resetting weight limit to 16 after 680 givens.
% 5.68/5.94
% 5.68/5.94
% 5.68/5.94
% 5.68/5.94 Changing weight limit from 16 to 17.
% 5.68/5.94
% 5.68/5.94 Resetting weight limit to 17 after 685 givens.
% 5.68/5.94
% 5.77/5.96
% 5.77/5.96
% 5.77/5.96 Changing weight limit from 17 to 15.
% 5.77/5.96
% 5.77/5.96 Resetting weight limit to 15 after 690 givens.
% 5.77/5.96
% 5.77/5.96
% 5.77/5.96
% 5.77/5.96 Changing weight limit from 15 to 16.
% 5.77/5.96
% 5.77/5.96 Resetting weight limit to 16 after 695 givens.
% 5.77/5.96
% 5.77/5.98
% 5.77/5.98
% 5.77/5.98 Changing weight limit from 16 to 15.
% 5.77/5.98
% 5.77/5.98 Resetting weight limit to 15 after 700 givens.
% 5.77/5.98
% 5.82/6.02
% 5.82/6.02
% 5.82/6.02 Changing weight limit from 15 to 16.
% 5.82/6.02
% 5.82/6.02 Resetting weight limit to 16 after 710 givens.
% 5.82/6.02
% 5.82/6.04
% 5.82/6.04
% 5.82/6.04 Changing weight limit from 16 to 17.
% 5.82/6.04
% 5.82/6.04 Resetting weight limit to 17 after 715 givens.
% 5.82/6.04
% 5.86/6.05
% 5.86/6.05
% 5.86/6.05 Changing weight limit from 17 to 16.
% 5.86/6.05
% 5.86/6.05 Resetting weight limit to 16 after 720 givens.
% 5.86/6.05
% 5.86/6.08
% 5.86/6.08
% 5.86/6.08 Changing weight limit from 16 to 15.
% 5.86/6.08
% 5.86/6.08 Resetting weight limit to 15 after 725 givens.
% 5.86/6.08
% 5.86/6.10
% 5.86/6.10
% 5.86/6.10 Changing weight limit from 15 to 16.
% 5.86/6.10
% 5.86/6.10 Resetting weight limit to 16 after 730 givens.
% 5.86/6.10
% 5.86/6.14
% 5.86/6.14
% 5.86/6.14 Changing weight limit from 16 to 15.
% 5.86/6.14
% 5.86/6.14 Resetting weight limit to 15 after 735 givens.
% 5.86/6.14
% 6.09/6.36
% 6.09/6.36
% 6.09/6.36 Changing weight limit from 15 to 16.
% 6.09/6.36
% 6.09/6.36 Resetting weight limit to 16 after 810 givens.
% 6.09/6.36
% 6.09/6.37
% 6.09/6.37
% 6.09/6.37 Changing weight limit from 16 to 15.
% 6.09/6.37
% 6.09/6.37 Resetting weight limit to 15 after 815 givens.
% 6.09/6.37
% 6.42/6.63
% 6.42/6.63 -------- PROOF --------
% 6.42/6.63 % SZS status Theorem
% 6.42/6.63 % SZS output start Refutation
% 6.42/6.63
% 6.42/6.63 ----> UNIT CONFLICT at 6.08 sec ----> 17728 [binary,17727.1,37.1] {-} $F.
% 6.42/6.63
% 6.42/6.63 Length of proof is 27. Level of proof is 13.
% 6.42/6.63
% 6.42/6.63 ---------------- PROOF ----------------
% 6.42/6.63 % SZS status Theorem
% 6.42/6.63 % SZS output start Refutation
% 6.42/6.63
% 6.42/6.63 2 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -subset(A,B)| -subset(C,D)|subset(cross_product(A,C),cross_product(B,D)).
% 6.42/6.63 3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 6.42/6.63 4 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 6.42/6.63 6 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 6.42/6.63 11 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 6.42/6.63 12 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 6.42/6.63 13 [] {+} -ilf_type(A,set_type)|ilf_type($f3(A),subset_type(A)).
% 6.42/6.63 15 [] {+} -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).
% 6.42/6.63 17 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f4(A,B),A).
% 6.42/6.63 18 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f4(A,B),B).
% 6.42/6.63 19 [] {+} -ilf_type(A,set_type)| -empty(power_set(A)).
% 6.42/6.63 21 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 6.42/6.63 22 [] {+} -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 6.42/6.63 23 [] {+} empty(A)| -ilf_type(A,set_type)|ilf_type($f5(A),member_type(A)).
% 6.42/6.63 24 [] {+} -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 6.42/6.63 26 [] {+} -ilf_type(A,set_type)|empty(A)|member($f6(A),A).
% 6.42/6.63 37 [] {+} -ilf_type($c1,relation_type($c4,$c2)).
% 6.42/6.63 58 [factor,18.1.2] {+} -ilf_type(A,set_type)|member(A,power_set(A))| -member($f4(A,A),A).
% 6.42/6.63 78 [] {+} ilf_type(A,set_type).
% 6.42/6.63 79 [] {-} ilf_type($c1,relation_type($c5,$c3)).
% 6.42/6.63 80 [] {+} subset($c5,$c4).
% 6.42/6.63 81 [] {+} subset($c3,$c2).
% 6.42/6.63 86 [hyper,78,26] {+} empty(A)|member($f6(A),A).
% 6.42/6.63 87 [hyper,78,23] {+} empty(A)|ilf_type($f5(A),member_type(A)).
% 6.42/6.63 88 [hyper,78,17,78] {-} member(A,power_set(B))|member($f4(A,B),A).
% 6.42/6.63 90 [hyper,78,13] {-} ilf_type($f3(A),subset_type(A)).
% 6.42/6.63 93 [hyper,79,4,78,78] {-} ilf_type($c1,subset_type(cross_product($c5,$c3))).
% 6.42/6.63 95 [hyper,93,11,78,78] {-} ilf_type($c1,member_type(power_set(cross_product($c5,$c3)))).
% 6.42/6.63 104 [hyper,86,19,78] {+} member($f6(power_set(A)),power_set(A)).
% 6.42/6.63 108 [hyper,90,11,78,78] {+} ilf_type($f3(A),member_type(power_set(A))).
% 6.42/6.63 117 [hyper,81,2,78,78,78,78,80] {-} subset(cross_product($c5,$c3),cross_product($c4,$c2)).
% 6.42/6.63 119 [hyper,108,21,78,78] {+} empty(power_set(A))|member($f3(A),power_set(A)).
% 6.42/6.63 123 [hyper,87,24,78,78,104] {+} ilf_type($f5(power_set(A)),member_type(power_set(A))).
% 6.42/6.63 251 [hyper,88,58,78,factor_simp] {+} member(A,power_set(A)).
% 6.42/6.63 273 [hyper,95,21,78,78] {+} empty(power_set(cross_product($c5,$c3)))|member($c1,power_set(cross_product($c5,$c3))).
% 6.42/6.63 529 [hyper,123,21,78,78] {+} empty(power_set(A))|member($f5(power_set(A)),power_set(A)).
% 6.42/6.63 562 [hyper,117,6,78,78,78,88] {+} member($f4(cross_product($c5,$c3),A),cross_product($c4,$c2))|member(cross_product($c5,$c3),power_set(A)).
% 6.42/6.63 694 [hyper,119,24,78,78,251] {-} member($f3(A),power_set(A)).
% 6.42/6.63 2090 [hyper,529,24,78,78,694] {+} member($f5(power_set(A)),power_set(A)).
% 6.42/6.63 5617 [hyper,273,24,78,78,2090] {+} member($c1,power_set(cross_product($c5,$c3))).
% 6.42/6.63 5639 [hyper,5617,15,78,78,78,88] {+} member($f4($c1,A),cross_product($c5,$c3))|member($c1,power_set(A)).
% 6.42/6.63 11929 [hyper,5639,6,78,78,117,78] {+} member($c1,power_set(A))|member($f4($c1,A),cross_product($c4,$c2)).
% 6.42/6.63 13144 [hyper,11929,18,78,78,factor_simp] {+} member($c1,power_set(cross_product($c4,$c2))).
% 6.42/6.63 13155 [hyper,13144,22,78,78] {+} empty(power_set(cross_product($c4,$c2)))|ilf_type($c1,member_type(power_set(cross_product($c4,$c2)))).
% 6.42/6.63 15981 [hyper,562,18,78,78,factor_simp] {+} member(cross_product($c5,$c3),power_set(cross_product($c4,$c2))).
% 6.42/6.63 17725 [hyper,13155,24,78,78,15981] {+} ilf_type($c1,member_type(power_set(cross_product($c4,$c2)))).
% 6.42/6.63 17726 [hyper,17725,12,78,78] {+} ilf_type($c1,subset_type(cross_product($c4,$c2))).
% 6.42/6.63 17727 [hyper,17726,3,78,78] {-} ilf_type($c1,relation_type($c4,$c2)).
% 6.42/6.63 17728 [binary,17727.1,37.1] {-} $F.
% 6.42/6.63
% 6.42/6.63 % SZS output end Refutation
% 6.42/6.63 ------------ end of proof -------------
% 6.42/6.63
% 6.42/6.63
% 6.42/6.63 Search stopped by max_proofs option.
% 6.42/6.63
% 6.42/6.63
% 6.42/6.63 Search stopped by max_proofs option.
% 6.42/6.63
% 6.42/6.63 ============ end of search ============
% 6.42/6.63
% 6.42/6.63 ----------- soft-scott stats ----------
% 6.42/6.63
% 6.42/6.63 true clauses given 843 (95.4%)
% 6.42/6.63 false clauses given 41
% 6.42/6.63
% 6.42/6.63 FALSE TRUE
% 6.42/6.63 12 0 144
% 6.42/6.63 13 0 547
% 6.42/6.63 14 0 939
% 6.42/6.63 15 0 878
% 6.42/6.63 tot: 0 2508 (100.0% true)
% 6.42/6.63
% 6.42/6.63
% 6.42/6.63 Model 23 [ 1 1 7890 ] (0.00 seconds, 250000 Inserts)
% 6.42/6.63
% 6.42/6.63 That finishes the proof of the theorem.
% 6.42/6.63
% 6.42/6.63 Process 16179 finished Sun Jul 10 06:43:07 2022
%------------------------------------------------------------------------------