%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET009-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : 300s
% DateTime : Mon Jun 24 14:19:58 EDT 2024
% Result : Unsatisfiable 61.73s 61.80s
% Output : CNFRefutation 61.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET009-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jun 23 13:47:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 61.73/61.79 %-------------------------------------------
% 61.73/61.79 % File :CSE---1.7
% 61.73/61.79 % Problem :theBenchmark
% 61.73/61.79 % Transform :cnf
% 61.73/61.79 % Format :tptp:raw
% 61.73/61.79 % Command :java -jar mcs_scs.jar %d %s
% 61.73/61.79
% 61.73/61.79 % Result :Theorem 61.180000s
% 61.73/61.79 % Output :CNFRefutation 61.180000s
% 61.73/61.79 %-------------------------------------------
% 61.73/61.79 %--------------------------------------------------------------------------
% 61.73/61.79 % File : SET009-1 : TPTP v8.2.0. Released v1.0.0.
% 61.73/61.79 % Domain : Set Theory
% 61.73/61.79 % Problem : If X is a subset of Y, then Z \ Y is a subset of Z \ X
% 61.73/61.79 % Version : [LS74] axioms.
% 61.73/61.79 % English :
% 61.73/61.79
% 61.73/61.79 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 61.73/61.79 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 61.73/61.79 % Source : [SPRFN]
% 61.73/61.79 % Names : ls116 [LS74]
% 61.73/61.79 % : ls116 [WM76]
% 61.73/61.79
% 61.73/61.79 % Status : Unsatisfiable
% 61.73/61.79 % Rating : 0.00 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v2.1.0, 0.00 v2.0.0
% 61.73/61.79 % Syntax : Number of clauses : 16 ( 4 unt; 5 nHn; 14 RR)
% 61.73/61.79 % Number of literals : 38 ( 0 equ; 18 neg)
% 61.73/61.79 % Maximal clause size : 4 ( 2 avg)
% 61.73/61.79 % Maximal term depth : 2 ( 1 avg)
% 61.73/61.79 % Number of predicates : 4 ( 4 usr; 0 prp; 2-3 aty)
% 61.73/61.79 % Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% 61.73/61.79 % Number of variables : 34 ( 2 sgn)
% 61.73/61.79 % SPC : CNF_UNS_RFO_NEQ_NHN
% 61.73/61.79
% 61.73/61.79 % Comments :
% 61.73/61.79 %--------------------------------------------------------------------------
% 61.73/61.79 %----Include the member and subset axioms
% 61.73/61.79 include('Axioms/SET001-0.ax').
% 61.73/61.79 %----Include the member and difference axioms
% 61.73/61.79 include('Axioms/SET001-3.ax').
% 61.73/61.79 %--------------------------------------------------------------------------
% 61.73/61.79 cnf(d_is_a_subset_of_a,hypothesis,
% 61.73/61.79 subset(d,a) ).
% 61.73/61.79
% 61.73/61.79 cnf(b_minus_a,hypothesis,
% 61.73/61.79 difference(b,a,bDa) ).
% 61.73/61.79
% 61.73/61.79 cnf(b_minus_d,hypothesis,
% 61.73/61.79 difference(b,d,bDd) ).
% 61.73/61.79
% 61.73/61.79 cnf(prove_bDa_is_a_subset_of_bDd,negated_conjecture,
% 61.73/61.79 ~ subset(bDa,bDd) ).
% 61.73/61.79
% 61.73/61.79 %--------------------------------------------------------------------------
% 61.73/61.80 %-------------------------------------------
% 61.73/61.80 % Proof found
% 61.73/61.80 % SZS status Theorem for theBenchmark
% 61.73/61.80 % SZS output start Proof
% 61.73/61.80 %ClaNum:16(EqnAxiom:0)
% 61.73/61.80 %VarNum:90(SingletonVarNum:34)
% 61.73/61.80 %MaxLitNum:4
% 61.73/61.80 %MaxfuncDepth:1
% 61.73/61.80 %SharedTerms:9
% 61.73/61.80 %goalClause: 4
% 61.73/61.80 %singleGoalClaCount:1
% 61.73/61.80 [1]P1(a1,a2)
% 61.73/61.80 [2]P2(a3,a1,a4)
% 61.73/61.80 [3]P2(a3,a2,a5)
% 61.73/61.80 [4]~P1(a5,a4)
% 61.73/61.80 [5]~P3(x52,x51)+P1(x51,x52)
% 61.73/61.80 [6]~P3(x61,x62)+P1(x61,x62)
% 61.73/61.80 [7]P1(x71,x72)+P4(f6(x71,x72),x71)
% 61.73/61.80 [10]P1(x101,x102)+~P4(f6(x101,x102),x102)
% 61.73/61.80 [9]~P1(x91,x92)+~P1(x92,x91)+P3(x91,x92)
% 61.73/61.80 [8]~P1(x83,x82)+P4(x81,x82)+~P4(x81,x83)
% 61.73/61.80 [14]P2(x141,x142,x143)+P4(f7(x141,x142,x143),x143)+P4(f7(x141,x142,x143),x141)
% 61.73/61.80 [15]P2(x151,x152,x153)+P4(f7(x151,x152,x153),x153)+~P4(f7(x151,x152,x153),x152)
% 61.73/61.80 [11]P4(x111,x112)+~P2(x112,x114,x113)+~P4(x111,x113)
% 61.73/61.80 [12]~P4(x121,x122)+~P2(x124,x123,x122)+~P4(x121,x123)
% 61.73/61.80 [16]P2(x161,x162,x163)+P4(f7(x161,x162,x163),x162)+~P4(f7(x161,x162,x163),x163)+~P4(f7(x161,x162,x163),x161)
% 61.73/61.80 [13]~P2(x134,x133,x132)+P4(x131,x132)+P4(x131,x133)+~P4(x131,x134)
% 61.73/61.80 %EqnAxiom
% 61.73/61.80
% 61.73/61.80 %-------------------------------------------
% 61.73/61.81 cnf(17,plain,
% 61.73/61.81 (~P3(a4,a5)),
% 61.73/61.81 inference(scs_inference,[],[4,5])).
% 61.73/61.81 cnf(31,plain,
% 61.73/61.81 (P4(f6(a4,x311),a3)+P1(a4,x311)+~P2(a3,a1,a4)),
% 61.73/61.81 inference(scs_inference,[],[2,11,7])).
% 61.73/61.81 cnf(32,plain,
% 61.73/61.81 (P1(a4,x321)+P4(f6(a4,x321),a3)),
% 61.73/61.81 inference(scs_inference,[],[2,31])).
% 61.73/61.81 cnf(35,plain,
% 61.73/61.81 (P1(a4,a3)),
% 61.73/61.81 inference(scs_inference,[],[2,31,12,10])).
% 61.73/61.81 cnf(97,plain,
% 61.73/61.81 (P4(f6(a5,a4),a3)),
% 61.73/61.81 inference(scs_inference,[],[4,3,7,11])).
% 61.73/61.81 cnf(104,plain,
% 61.73/61.81 (~P1(a3,x1041)+P4(f6(a5,a4),x1041)),
% 61.73/61.81 inference(scs_inference,[],[97,8])).
% 61.73/61.81 cnf(288,plain,
% 61.73/61.81 (P4(f6(a5,a4),a1)+P4(f6(a5,a4),a4)+~P1(a3,a3)),
% 61.73/61.81 inference(scs_inference,[],[2,104,13])).
% 61.73/61.81 cnf(289,plain,
% 61.73/61.81 (~P3(a3,a3)+P4(f6(a5,a4),a1)+P4(f6(a5,a4),a4)),
% 61.73/61.81 inference(scs_inference,[],[288,5])).
% 61.73/61.81 cnf(290,plain,
% 61.73/61.81 (~P3(a3,a3)+P4(f6(a5,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[4,289,10])).
% 61.73/61.81 cnf(291,plain,
% 61.73/61.81 (~P1(a3,a3)+P4(f6(a5,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[290,9])).
% 61.73/61.81 cnf(292,plain,
% 61.73/61.81 (P4(f6(a3,a3),a3)+P4(f6(a5,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[291,7])).
% 61.73/61.81 cnf(293,plain,
% 61.73/61.81 (P1(a3,a3)+P4(f6(a5,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[292,10])).
% 61.73/61.81 cnf(294,plain,
% 61.73/61.81 (P4(f6(a5,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[293,291])).
% 61.73/61.81 cnf(297,plain,
% 61.73/61.81 (P4(f6(a5,a4),a2)),
% 61.73/61.81 inference(scs_inference,[],[1,294,12,8])).
% 61.73/61.81 cnf(1290,plain,
% 61.73/61.81 (~P1(a4,a5)+P4(f6(a5,a4),a5)),
% 61.73/61.81 inference(scs_inference,[],[17,9,7])).
% 61.73/61.81 cnf(1292,plain,
% 61.73/61.81 (P4(f6(a5,a4),a5)+P4(f6(a4,a5),a4)),
% 61.73/61.81 inference(scs_inference,[],[1290,7])).
% 61.73/61.81 cnf(1472,plain,
% 61.73/61.81 (~P1(a4,a5)),
% 61.73/61.81 inference(scs_inference,[],[3,297,12,1290])).
% 61.73/61.81 cnf(1491,plain,
% 61.73/61.81 (~P4(f6(a4,a5),a1)),
% 61.73/61.81 inference(scs_inference,[],[2,1472,12,7])).
% 61.73/61.81 cnf(1536,plain,
% 61.73/61.81 (P4(f6(a4,a5),a4)),
% 61.73/61.81 inference(scs_inference,[],[3,297,12,1292])).
% 61.73/61.81 cnf(1550,plain,
% 61.73/61.81 (~P1(a4,a1)),
% 61.73/61.81 inference(scs_inference,[],[1491,1536,11,8])).
% 61.73/61.81 cnf(1906,plain,
% 61.73/61.81 (P4(f7(x19061,a4,a4),a4)+P4(f7(x19061,a4,a4),x19061)),
% 61.73/61.81 inference(scs_inference,[],[1536,12,14])).
% 61.73/61.81 cnf(1910,plain,
% 61.73/61.81 (P4(f7(x19101,a4,a4),a3)+P4(f7(x19101,a4,a4),x19101)),
% 61.73/61.81 inference(scs_inference,[],[35,1906,8])).
% 61.73/61.81 cnf(1911,plain,
% 61.73/61.81 (P4(f7(a4,a4,a4),a3)),
% 61.73/61.81 inference(scs_inference,[],[2,1910,11])).
% 61.73/61.81 cnf(1914,plain,
% 61.73/61.81 (~P1(a3,x19141)+P4(f7(a4,a4,a4),x19141)),
% 61.73/61.81 inference(scs_inference,[],[1911,11,8])).
% 61.73/61.81 cnf(1919,plain,
% 61.73/61.81 (P4(f7(a4,a4,a4),x19191)+~P4(f6(a3,x19191),x19191)),
% 61.73/61.81 inference(scs_inference,[],[1914,10])).
% 61.73/61.81 cnf(1948,plain,
% 61.73/61.81 (~P4(f7(a4,a4,a4),a1)),
% 61.73/61.81 inference(scs_inference,[],[2,12,1906])).
% 61.73/61.81 cnf(3211,plain,
% 61.73/61.81 (P4(f6(a5,a4),a5)),
% 61.73/61.81 inference(scs_inference,[],[4,1948,1550,32,1919,10,7])).
% 61.73/61.81 cnf(3360,plain,
% 61.73/61.81 ($false),
% 61.73/61.81 inference(scs_inference,[],[3211,297,3,12]),
% 61.73/61.81 ['proof']).
% 61.73/61.81 % SZS output end Proof
% 61.73/61.81 % Total time :61.180000s
%------------------------------------------------------------------------------