%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 05:14:04 EDT 2022
% Result : Unsatisfiable 43.85s 44.11s
% Output : Refutation 43.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 23:57:52 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 sandbox2 on n005.cluster.edu,
% 0.13/0.36 Sat Jul 9 23:57:52 2022
% 0.13/0.36 The command was "./sos". The process ID is 17788.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.13/0.40
% 0.13/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40
% 0.13/0.40 Stopped by limit on number of solutions
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 -------------- Softie stats --------------
% 0.13/0.40
% 0.13/0.40 UPDATE_STOP: 300
% 0.13/0.40 SFINDER_TIME_LIMIT: 2
% 0.13/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40 number of clauses in intial UL: 24
% 0.13/0.40 number of clauses initially in problem: 33
% 0.13/0.40 percentage of clauses intially in UL: 72
% 0.13/0.40 percentage of distinct symbols occuring in initial UL: 91
% 0.13/0.40 percent of all initial clauses that are short: 100
% 0.13/0.40 absolute distinct symbol count: 12
% 0.13/0.40 distinct predicate count: 5
% 0.13/0.40 distinct function count: 3
% 0.13/0.40 distinct constant count: 4
% 0.13/0.40
% 0.13/0.40 ---------- no more Softie stats ----------
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40
% 0.13/0.40 Stopped by limit on number of solutions
% 0.13/0.40
% 0.13/0.40 =========== start of search ===========
% 3.24/3.44
% 3.24/3.44
% 3.24/3.44 Changing weight limit from 60 to 37.
% 3.24/3.44
% 3.24/3.44 Model 3 (0.00 seconds, 0 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on number of solutions
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 4 [ 2 0 1206 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 5 [ 1 1 1039 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 6 [ 2 0 634 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 7 [ 8 1 450 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 8 [ 6 0 638 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 9 [ 2 1 1438 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 10 [ 15 0 344 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 11 [ 7 1 486 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 12 [ 12 1 451 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 13 [ 10 0 207 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 14 [ 20 1 1040 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 15 [ 18 0 383 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 16 [ 21 0 478 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 17 [ 8 1 163 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 18 [ 12 1 260 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 19 [ 11 0 267 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Stopped by limit on insertions
% 3.24/3.44
% 3.24/3.44 Model 20 [ 16 1 326 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.44
% 3.24/3.44 Resetting weight limit to 37 after 150 givens.
% 3.24/3.44
% 43.85/44.11
% 43.85/44.11 -- HEY sandbox2, WE HAVE A PROOF!! --
% 43.85/44.11
% 43.85/44.11 Modelling stopped after 300 given clauses and 0.00 seconds
% 43.85/44.11
% 43.85/44.11
% 43.85/44.11 ----> UNIT CONFLICT at 43.63 sec ----> 30574 [binary,30573.1,15.1] {+} $F.
% 43.85/44.11
% 43.85/44.11 Length of proof is 19. Level of proof is 13.
% 43.85/44.11
% 43.85/44.11 ---------------- PROOF ----------------
% 43.85/44.11 % SZS status Unsatisfiable
% 43.85/44.11 % SZS output start Refutation
% 43.85/44.11
% 43.85/44.11 1 [] {+} -member(A,B)| -subset(B,C)|member(A,C).
% 43.85/44.11 2 [] {+} -member(member_of_1_not_of_2(A,B),B)|subset(A,B).
% 43.85/44.11 9 [] {+} -member(h(A,B,C),C)| -member(h(A,B,C),B)| -member(h(A,B,C),A)|intersection(A,B,C).
% 43.85/44.11 10 [] {+} -difference(A,B,C)| -member(D,C)|member(D,A).
% 43.85/44.11 11 [] {+} -member(A,B)| -member(A,C)| -difference(D,B,C).
% 43.85/44.11 12 [] {+} -member(A,B)| -difference(B,C,D)|member(A,D)|member(A,C).
% 43.85/44.11 14 [] {+} -member(k(A,B,C),C)| -member(k(A,B,C),A)|member(k(A,B,C),B)|difference(A,B,C).
% 43.85/44.11 15 [] {+} -intersection(a,b,aD_aDb).
% 43.85/44.11 23 [factor,14.1.2] {+} -member(k(A,B,A),A)|member(k(A,B,A),B)|difference(A,B,A).
% 43.85/44.11 25 [] {+} subset(A,B)|member(member_of_1_not_of_2(A,B),A).
% 43.85/44.11 26 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),A).
% 43.85/44.11 27 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),B).
% 43.85/44.11 28 [] {+} difference(A,B,C)|member(k(A,B,C),A)|member(k(A,B,C),C).
% 43.85/44.11 29 [] {+} difference(a,b,aDb).
% 43.85/44.11 30 [] {+} difference(a,aDb,aD_aDb).
% 43.85/44.11 33 [factor,28.2.3] {+} difference(A,B,A)|member(k(A,B,A),A).
% 43.85/44.11 55 [hyper,26,12,30] {+} member(h(a,A,B),B)|intersection(a,A,B)|member(h(a,A,B),aD_aDb)|member(h(a,A,B),aDb).
% 43.85/44.11 90 [hyper,33,23,factor_simp] {+} difference(A,B,A)|member(k(A,B,A),B).
% 43.85/44.11 101 [hyper,27,1,25] {-} intersection(A,B,C)|member(h(A,B,C),B)|member(h(A,B,C),D)|member(member_of_1_not_of_2(C,D),C).
% 43.85/44.11 117 [factor,101.2.3] {-} intersection(A,B,C)|member(h(A,B,C),B)|member(member_of_1_not_of_2(C,B),C).
% 43.85/44.11 488 [hyper,90,11,33,30,factor_simp] {+} difference(aDb,aD_aDb,aDb).
% 43.85/44.11 491 [hyper,90,11,33,29,factor_simp] {+} difference(aDb,b,aDb).
% 43.85/44.11 1616 [hyper,55,11,27,491,factor_simp,factor_simp] {+} member(h(a,b,A),A)|intersection(a,b,A)|member(h(a,b,A),aD_aDb).
% 43.85/44.11 1621 [factor,1616.1.3,unit_del,15] {+} member(h(a,b,aD_aDb),aD_aDb).
% 43.85/44.11 1691 [hyper,1621,10,30] {+} member(h(a,b,aD_aDb),a).
% 43.85/44.11 2883 [hyper,117,9,1621,1691,unit_del,15,15] {+} member(member_of_1_not_of_2(aD_aDb,b),aD_aDb).
% 43.85/44.11 2913 [hyper,2883,10,30] {+} member(member_of_1_not_of_2(aD_aDb,b),a).
% 43.85/44.11 2914 [hyper,2883,1,25] {+} member(member_of_1_not_of_2(aD_aDb,b),A)|member(member_of_1_not_of_2(aD_aDb,A),aD_aDb).
% 43.85/44.11 3031 [hyper,2913,12,29] {+} member(member_of_1_not_of_2(aD_aDb,b),aDb)|member(member_of_1_not_of_2(aD_aDb,b),b).
% 43.85/44.11 30255 [hyper,3031,11,2914,488,factor_simp] {-} member(member_of_1_not_of_2(aD_aDb,b),b).
% 43.85/44.11 30261 [hyper,30255,2] {-} subset(aD_aDb,b).
% 43.85/44.11 30369 [hyper,30261,1,1621] {-} member(h(a,b,aD_aDb),b).
% 43.85/44.11 30573 [hyper,30369,9,1621,1691] {-} intersection(a,b,aD_aDb).
% 43.85/44.11 30574 [binary,30573.1,15.1] {+} $F.
% 43.85/44.11
% 43.85/44.11 % SZS output end Refutation
% 43.85/44.11 ------------ end of proof -------------
% 43.85/44.11
% 43.85/44.11
% 43.85/44.11 Search stopped by max_proofs option.
% 43.85/44.11
% 43.85/44.11
% 43.85/44.11 Search stopped by max_proofs option.
% 43.85/44.11
% 43.85/44.11 ============ end of search ============
% 43.85/44.11
% 43.85/44.11 ----------- soft-scott stats ----------
% 43.85/44.11
% 43.85/44.11 true clauses given 205 (36.7%)
% 43.85/44.11 false clauses given 353
% 43.85/44.11
% 43.85/44.11 FALSE TRUE
% 43.85/44.11 5 0 1
% 43.85/44.11 9 4 0
% 43.85/44.11 10 10 38
% 43.85/44.11 11 6 15
% 43.85/44.11 12 0 11
% 43.85/44.11 13 0 21
% 43.85/44.11 14 0 265
% 43.85/44.11 15 12 618
% 43.85/44.11 16 78 437
% 43.85/44.11 17 0 52
% 43.85/44.11 18 0 100
% 43.85/44.11 19 4 690
% 43.85/44.11 20 10 112
% 43.85/44.11 21 13 22
% 43.85/44.11 22 1268 10
% 43.85/44.11 23 6 16
% 43.85/44.11 24 2 73
% 43.85/44.11 25 1 94
% 43.85/44.11 26 12 3
% 43.85/44.11 27 3 10
% 43.85/44.11 28 4 8
% 43.85/44.11 29 13 22
% 43.85/44.11 30 1 2
% 43.85/44.11 31 10 0
% 43.85/44.11 32 46 0
% 43.85/44.11 33 26 2
% 43.85/44.11 34 11 1
% 43.85/44.11 35 14 6
% 43.85/44.11 36 30 0
% 43.85/44.11 37 48 0
% 43.85/44.11 tot: 1632 2629 (61.7% true)
% 43.85/44.11
% 43.85/44.11
% 43.85/44.11 Model 20 [ 16 1 326 ] (0.00 seconds, 250000 Inserts)
% 43.85/44.11
% 43.85/44.11 That finishes the proof of the theorem.
% 43.85/44.11
% 43.85/44.11 Process 17788 finished Sat Jul 9 23:58:36 2022
%------------------------------------------------------------------------------