TSTP Solution File: SET010-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 05:14:03 EDT 2022
% Result : Unsatisfiable 241.49s 241.70s
% Output : Refutation 241.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.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 14:46:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n007.cluster.edu,
% 0.12/0.35 Sun Jul 10 14:46:17 2022
% 0.12/0.35 The command was "./sos". The process ID is 17053.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= 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: 32
% 0.12/0.38 number of clauses initially in problem: 48
% 0.12/0.38 percentage of clauses intially in UL: 66
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 76
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 17
% 0.12/0.38 distinct predicate count: 6
% 0.12/0.38 distinct function count: 4
% 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 ===========
% 5.52/5.72
% 5.52/5.72
% 5.52/5.72 Changing weight limit from 60 to 33.
% 5.52/5.72
% 5.52/5.72 Model 2 (0.00 seconds, 0 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Model 3 (0.00 seconds, 0 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Model 4 (0.00 seconds, 0 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Model 5 (0.00 seconds, 0 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 6 [ 1 1 444 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 7 [ 1 1 1148 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 8 [ 1 0 1154 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Model 9 (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 10 [ 7 0 532 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 11 [ 7 0 433 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 12 [ 16 1 827 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 13 [ 9 1 443 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Model 14 (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on number of solutions
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 15 [ 15 1 295 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 16 [ 14 0 578 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 17 [ 9 1 412 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 18 [ 24 1 660 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 19 [ 14 0 391 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 20 [ 20 0 416 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 21 [ 29 1 399 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 22 [ 9 0 805 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 23 [ 22 0 318 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 24 [ 26 0 489 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 25 [ 21 1 350 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 26 [ 28 1 304 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 27 [ 32 1 461 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 28 [ 61 0 450 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 29 [ 17 0 364 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 30 [ 16 1 450 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 31 [ 13 1 542 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 32 [ 21 1 366 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 33 [ 28 1 440 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 34 [ 27 1 716 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 35 [ 19 1 263 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 36 [ 23 1 632 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 37 [ 26 1 599 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 38 [ 47 0 244 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 39 [ 71 1 405 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Stopped by limit on insertions
% 5.52/5.72
% 5.52/5.72 Model 40 [ 18 1 575 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.72
% 5.52/5.72 Resetting weight limit to 33 after 110 givens.
% 5.52/5.72
% 5.55/5.79
% 5.55/5.79
% 5.55/5.79 Changing weight limit from 33 to 32.
% 5.55/5.79
% 5.55/5.79 Resetting weight limit to 32 after 115 givens.
% 5.55/5.79
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08 Changing weight limit from 32 to 33.
% 5.85/6.08
% 5.85/6.08 Stopped by limit on insertions
% 5.85/6.08
% 5.85/6.08 Model 41 [ 21 0 707 ] (0.00 seconds, 250000 Inserts)
% 5.85/6.08
% 5.85/6.08 Resetting weight limit to 33 after 120 givens.
% 5.85/6.08
% 6.34/6.57
% 6.34/6.57
% 6.34/6.57 Changing weight limit from 33 to 34.
% 6.34/6.57
% 6.34/6.57 Stopped by limit on insertions
% 6.34/6.57
% 6.34/6.57 Model 42 [ 37 2 30498 ] (0.00 seconds, 250000 Inserts)
% 6.34/6.57
% 6.34/6.57 Stopped by limit on insertions
% 6.34/6.57
% 6.34/6.57 Model 43 [ 63 1 431 ] (0.00 seconds, 250000 Inserts)
% 6.34/6.57
% 6.34/6.57 Resetting weight limit to 34 after 125 givens.
% 6.34/6.57
% 7.12/7.32
% 7.12/7.32
% 7.12/7.32 Changing weight limit from 34 to 31.
% 7.12/7.32
% 7.12/7.32 Stopped by limit on insertions
% 7.12/7.32
% 7.12/7.32 Model 44 [ 30 1 417 ] (0.00 seconds, 250000 Inserts)
% 7.12/7.32
% 7.12/7.32 Stopped by limit on insertions
% 7.12/7.32
% 7.12/7.32 Model 45 [ 29 0 399 ] (0.00 seconds, 250000 Inserts)
% 7.12/7.32
% 7.12/7.32 Resetting weight limit to 31 after 130 givens.
% 7.12/7.32
% 13.03/13.26
% 13.03/13.26
% 13.03/13.26 Changing weight limit from 31 to 30.
% 13.03/13.26
% 13.03/13.26 Stopped by limit on insertions
% 13.03/13.26
% 13.03/13.26 Model 46 [ 21 1 506 ] (0.00 seconds, 250000 Inserts)
% 13.03/13.26
% 13.03/13.26 Stopped by limit on insertions
% 13.03/13.26
% 13.03/13.26 Model 47 [ 20 1 373 ] (0.00 seconds, 250000 Inserts)
% 13.03/13.26
% 13.03/13.26 Modelling stopped after 300 given clauses and 0.00 seconds
% 13.03/13.26
% 13.03/13.26
% 13.03/13.26 Resetting weight limit to 30 after 635 givens.
% 13.03/13.26
% 17.52/17.77
% 17.52/17.77
% 17.52/17.77 Changing weight limit from 30 to 25.
% 17.52/17.77
% 17.52/17.77 Resetting weight limit to 25 after 995 givens.
% 17.52/17.77
% 17.89/18.09
% 17.89/18.09
% 17.89/18.09 Changing weight limit from 25 to 24.
% 17.89/18.09
% 17.89/18.09 Resetting weight limit to 24 after 1025 givens.
% 17.89/18.09
% 18.12/18.32
% 18.12/18.32
% 18.12/18.32 Changing weight limit from 24 to 23.
% 18.12/18.32
% 18.12/18.32 Resetting weight limit to 23 after 1040 givens.
% 18.12/18.32
% 18.87/19.10
% 18.87/19.10
% 18.87/19.10 Changing weight limit from 23 to 22.
% 18.87/19.10
% 18.87/19.10 Resetting weight limit to 22 after 1090 givens.
% 18.87/19.10
% 29.92/30.10
% 29.92/30.10
% 29.92/30.10 Changing weight limit from 22 to 21.
% 29.92/30.10
% 29.92/30.10 Resetting weight limit to 21 after 1940 givens.
% 29.92/30.10
% 106.11/106.31
% 106.11/106.31
% 106.11/106.31 Changing weight limit from 21 to 22.
% 106.11/106.31
% 106.11/106.31 Resetting weight limit to 22 after 5515 givens.
% 106.11/106.31
% 106.55/106.77
% 106.55/106.77
% 106.55/106.77 Changing weight limit from 22 to 23.
% 106.55/106.77
% 106.55/106.77 Resetting weight limit to 23 after 5520 givens.
% 106.55/106.77
% 106.62/106.81
% 106.62/106.81
% 106.62/106.81 Changing weight limit from 23 to 24.
% 106.62/106.81
% 106.62/106.81 Resetting weight limit to 24 after 5525 givens.
% 106.62/106.81
% 106.86/107.10
% 106.86/107.10
% 106.86/107.10 Changing weight limit from 24 to 25.
% 106.86/107.10
% 106.86/107.10 Resetting weight limit to 25 after 5530 givens.
% 106.86/107.10
% 106.95/107.15
% 106.95/107.15
% 106.95/107.15 Changing weight limit from 25 to 26.
% 106.95/107.15
% 106.95/107.15 Resetting weight limit to 26 after 5535 givens.
% 106.95/107.15
% 107.25/107.46
% 107.25/107.46
% 107.25/107.46 Changing weight limit from 26 to 27.
% 107.25/107.46
% 107.25/107.46 Resetting weight limit to 27 after 5540 givens.
% 107.25/107.46
% 107.46/107.65
% 107.46/107.65
% 107.46/107.65 Changing weight limit from 27 to 28.
% 107.46/107.65
% 107.46/107.65 Resetting weight limit to 28 after 5545 givens.
% 107.46/107.65
% 108.05/108.23
% 108.05/108.23
% 108.05/108.23 Changing weight limit from 28 to 29.
% 108.05/108.23
% 108.05/108.23 Resetting weight limit to 29 after 5550 givens.
% 108.05/108.23
% 139.55/139.81
% 139.55/139.81
% 139.55/139.81 Changing weight limit from 29 to 27.
% 139.55/139.81
% 139.55/139.81 Resetting weight limit to 27 after 5860 givens.
% 139.55/139.81
% 147.21/147.41
% 147.21/147.41
% 147.21/147.41 Changing weight limit from 27 to 26.
% 147.21/147.41
% 147.21/147.41 Resetting weight limit to 26 after 5905 givens.
% 147.21/147.41
% 148.06/148.30
% 148.06/148.30
% 148.06/148.30 Changing weight limit from 26 to 25.
% 148.06/148.30
% 148.06/148.30 Resetting weight limit to 25 after 5915 givens.
% 148.06/148.30
% 241.49/241.70
% 241.49/241.70 -- HEY sandbox, WE HAVE A PROOF!! --
% 241.49/241.70
% 241.49/241.70 -----> EMPTY CLAUSE at 239.19 sec ----> 142632 [hyper,142560,16,83611,510] {-} $F.
% 241.49/241.70
% 241.49/241.70 Length of proof is 44. Level of proof is 14.
% 241.49/241.70
% 241.49/241.70 ---------------- PROOF ----------------
% 241.49/241.70 % SZS status Unsatisfiable
% 241.49/241.70 % SZS output start Refutation
% 241.49/241.70
% 241.49/241.70 1 [] {+} -member(A,B)| -subset(B,C)|member(A,C).
% 241.49/241.70 2 [] {+} -member(member_of_1_not_of_2(A,B),B)|subset(A,B).
% 241.49/241.70 9 [] {+} -member(g(A,B,C),A)| -member(g(A,B,C),C)|union(A,B,C).
% 241.49/241.70 10 [] {+} -member(g(A,B,C),B)| -member(g(A,B,C),C)|union(A,B,C).
% 241.49/241.70 11 [] {+} -intersection(A,B,C)| -member(D,C)|member(D,A).
% 241.49/241.70 12 [] {+} -intersection(A,B,C)| -member(D,C)|member(D,B).
% 241.49/241.70 13 [] {+} -intersection(A,B,C)| -member(D,B)| -member(D,A)|member(D,C).
% 241.49/241.70 14 [] {+} -member(h(A,B,C),C)| -member(h(A,B,C),B)| -member(h(A,B,C),A)|intersection(A,B,C).
% 241.49/241.70 15 [] {+} -difference(A,B,C)| -member(D,C)|member(D,A).
% 241.49/241.70 16 [] {+} -member(A,B)| -member(A,C)| -difference(D,B,C).
% 241.49/241.70 17 [] {+} -member(A,B)| -difference(B,C,D)|member(A,D)|member(A,C).
% 241.49/241.70 19 [] {+} -member(k(A,B,C),C)| -member(k(A,B,C),A)|member(k(A,B,C),B)|difference(A,B,C).
% 241.49/241.70 20 [] {+} -union(cDa,cDb,cD_aIb).
% 241.49/241.70 26 [factor,14.1.2] {+} -member(h(A,B,B),B)| -member(h(A,B,B),A)|intersection(A,B,B).
% 241.49/241.70 27 [factor,14.1.3] {+} -member(h(A,B,A),A)| -member(h(A,B,A),B)|intersection(A,B,A).
% 241.49/241.70 31 [factor,19.1.2] {+} -member(k(A,B,A),A)|member(k(A,B,A),B)|difference(A,B,A).
% 241.49/241.70 33 [] {+} subset(A,B)|member(member_of_1_not_of_2(A,B),A).
% 241.49/241.70 34 [] {-} union(A,B,C)|member(g(A,B,C),A)|member(g(A,B,C),B)|member(g(A,B,C),C).
% 241.49/241.70 35 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),A).
% 241.49/241.70 36 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),B).
% 241.49/241.70 37 [] {+} difference(A,B,C)|member(k(A,B,C),A)|member(k(A,B,C),C).
% 241.49/241.70 38 [] {+} intersection(a,b,aIb).
% 241.49/241.70 39 [] {+} difference(c,a,cDa).
% 241.49/241.70 40 [] {+} difference(c,b,cDb).
% 241.49/241.70 41 [] {+} difference(c,aIb,cD_aIb).
% 241.49/241.70 45 [factor,35.1.3] {+} member(h(A,B,A),A)|intersection(A,B,A).
% 241.49/241.70 46 [factor,36.1.3] {+} member(h(A,B,B),B)|intersection(A,B,B).
% 241.49/241.70 47 [factor,37.2.3] {+} difference(A,B,A)|member(k(A,B,A),A).
% 241.49/241.70 69 [hyper,34,15,39] {-} union(cDa,A,B)|member(g(cDa,A,B),A)|member(g(cDa,A,B),B)|member(g(cDa,A,B),c).
% 241.49/241.70 270 [hyper,45,1,33] {-} intersection(A,B,A)|member(h(A,B,A),C)|member(member_of_1_not_of_2(A,C),A).
% 241.49/241.70 276 [hyper,35,15,41] {+} intersection(A,B,cD_aIb)|member(h(A,B,cD_aIb),A)|member(h(A,B,cD_aIb),c).
% 241.49/241.70 297 [factor,276.2.3] {-} intersection(c,A,cD_aIb)|member(h(c,A,cD_aIb),c).
% 241.49/241.70 328 [hyper,47,31,factor_simp] {+} difference(A,B,A)|member(k(A,B,A),B).
% 241.49/241.70 335 [hyper,47,12,38] {+} difference(aIb,A,aIb)|member(k(aIb,A,aIb),b).
% 241.49/241.70 336 [hyper,47,11,38] {-} difference(aIb,A,aIb)|member(k(aIb,A,aIb),a).
% 241.49/241.70 510 [hyper,328,16,47,41,factor_simp] {+} difference(aIb,cD_aIb,aIb).
% 241.49/241.70 511 [hyper,328,16,47,40,factor_simp] {+} difference(b,cDb,b).
% 241.49/241.70 512 [hyper,328,16,47,39,factor_simp] {+} difference(a,cDa,a).
% 241.49/241.70 1637 [hyper,69,15,40,factor_simp] {-} union(cDa,cDb,A)|member(g(cDa,cDb,A),A)|member(g(cDa,cDb,A),c).
% 241.49/241.70 1869 [hyper,336,16,328,512,factor_simp] {+} difference(aIb,cDa,aIb).
% 241.49/241.70 3233 [hyper,297,26,46,factor_simp,factor_simp] {+} intersection(c,cD_aIb,cD_aIb).
% 241.49/241.70 4088 [hyper,270,27,45,factor_simp,factor_simp] {+} intersection(A,B,A)|member(member_of_1_not_of_2(A,B),A).
% 241.49/241.70 4172 [hyper,4088,15,40] {+} intersection(cDb,A,cDb)|member(member_of_1_not_of_2(cDb,A),c).
% 241.49/241.70 4173 [hyper,4088,15,39] {+} intersection(cDa,A,cDa)|member(member_of_1_not_of_2(cDa,A),c).
% 241.49/241.70 4861 [hyper,4172,17,41] {+} intersection(cDb,A,cDb)|member(member_of_1_not_of_2(cDb,A),cD_aIb)|member(member_of_1_not_of_2(cDb,A),aIb).
% 241.49/241.70 4932 [hyper,4173,17,41] {+} intersection(cDa,A,cDa)|member(member_of_1_not_of_2(cDa,A),cD_aIb)|member(member_of_1_not_of_2(cDa,A),aIb).
% 241.49/241.70 7556 [hyper,335,16,328,511,factor_simp] {+} difference(aIb,cDb,aIb).
% 241.49/241.70 20596 [hyper,1637,15,41,unit_del,20,factor_simp] {-} member(g(cDa,cDb,cD_aIb),c).
% 241.49/241.70 20609 [hyper,1637,13,3233,34,unit_del,20,20,factor_simp] {-} member(g(cDa,cDb,cD_aIb),cD_aIb)|member(g(cDa,cDb,cD_aIb),cDa)|member(g(cDa,cDb,cD_aIb),cDb).
% 241.49/241.70 20656 [hyper,20596,17,40] {+} member(g(cDa,cDb,cD_aIb),cDb)|member(g(cDa,cDb,cD_aIb),b).
% 241.49/241.70 20657 [hyper,20596,17,39] {+} member(g(cDa,cDb,cD_aIb),cDa)|member(g(cDa,cDb,cD_aIb),a).
% 241.49/241.70 60093 [hyper,4861,16,4088,7556,factor_simp] {+} intersection(cDb,A,cDb)|member(member_of_1_not_of_2(cDb,A),cD_aIb).
% 241.49/241.70 60095 [hyper,60093,2] {+} intersection(cDb,cD_aIb,cDb)|subset(cDb,cD_aIb).
% 241.49/241.70 60511 [hyper,60095,1,45] {+} intersection(cDb,cD_aIb,cDb)|member(h(cDb,A,cDb),cD_aIb)|intersection(cDb,A,cDb).
% 241.49/241.70 60522 [factor,60511.1.3] {+} intersection(cDb,cD_aIb,cDb)|member(h(cDb,cD_aIb,cDb),cD_aIb).
% 241.49/241.70 60961 [hyper,4932,16,4088,1869,factor_simp] {+} intersection(cDa,A,cDa)|member(member_of_1_not_of_2(cDa,A),cD_aIb).
% 241.49/241.70 61014 [hyper,60961,2] {+} intersection(cDa,cD_aIb,cDa)|subset(cDa,cD_aIb).
% 241.49/241.70 61706 [hyper,61014,1,45] {+} intersection(cDa,cD_aIb,cDa)|member(h(cDa,A,cDa),cD_aIb)|intersection(cDa,A,cDa).
% 241.49/241.70 61718 [factor,61706.1.3] {+} intersection(cDa,cD_aIb,cDa)|member(h(cDa,cD_aIb,cDa),cD_aIb).
% 241.49/241.70 73006 [hyper,60522,27,45,factor_simp,factor_simp] {+} intersection(cDb,cD_aIb,cDb).
% 241.49/241.70 73083 [hyper,73006,12,20609,factor_simp] {-} member(g(cDa,cDb,cD_aIb),cD_aIb)|member(g(cDa,cDb,cD_aIb),cDa).
% 241.49/241.70 83476 [hyper,61718,27,45,factor_simp,factor_simp] {+} intersection(cDa,cD_aIb,cDa).
% 241.49/241.70 83611 [hyper,83476,12,73083,factor_simp] {-} member(g(cDa,cDb,cD_aIb),cD_aIb).
% 241.49/241.70 142530 [hyper,20656,10,83611,unit_del,20] {+} member(g(cDa,cDb,cD_aIb),b).
% 241.49/241.70 142557 [hyper,20657,9,83611,unit_del,20] {+} member(g(cDa,cDb,cD_aIb),a).
% 241.49/241.70 142560 [hyper,142557,13,38,142530] {+} member(g(cDa,cDb,cD_aIb),aIb).
% 241.49/241.70 142632 [hyper,142560,16,83611,510] {-} $F.
% 241.49/241.70
% 241.49/241.70 % SZS output end Refutation
% 241.49/241.70 ------------ end of proof -------------
% 241.49/241.70
% 241.49/241.70
% 241.49/241.70 Search stopped by max_proofs option.
% 241.49/241.70
% 241.49/241.70
% 241.49/241.70 Search stopped by max_proofs option.
% 241.49/241.70
% 241.49/241.70 ============ end of search ============
% 241.49/241.70
% 241.49/241.70 ----------- soft-scott stats ----------
% 241.49/241.70
% 241.49/241.70 true clauses given 2210 (33.1%)
% 241.49/241.70 false clauses given 4475
% 241.49/241.70
% 241.49/241.70 FALSE TRUE
% 241.49/241.70 10 0 10
% 241.49/241.70 11 0 188
% 241.49/241.70 12 0 29
% 241.49/241.70 13 0 50
% 241.49/241.70 14 0 750
% 241.49/241.70 15 0 801
% 241.49/241.70 16 0 391
% 241.49/241.70 17 0 13
% 241.49/241.70 18 0 56
% 241.49/241.70 19 0 212
% 241.49/241.70 21 311 0
% 241.49/241.70 22 176 0
% 241.49/241.70 23 1127 0
% 241.49/241.70 24 113 0
% 241.49/241.70 25 375 0
% 241.49/241.70 tot: 2102 2500 (54.3% true)
% 241.49/241.70
% 241.49/241.70
% 241.49/241.70 Model 47 [ 20 1 373 ] (0.02 seconds, 250000 Inserts)
% 241.49/241.70
% 241.49/241.70 That finishes the proof of the theorem.
% 241.49/241.70
% 241.49/241.70 Process 17053 finished Sun Jul 10 14:50:18 2022
%------------------------------------------------------------------------------