TSTP Solution File: SET009-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 : Thu Aug 31 14:27:47 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n008.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:27:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.60 % Transform :cnf
% 0.20/0.60 % Format :tptp:raw
% 0.20/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.60
% 0.20/0.60 % Result :Theorem 0.010000s
% 0.20/0.60 % Output :CNFRefutation 0.010000s
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 % File : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.60 % Domain : Set Theory
% 0.20/0.60 % Problem : If X is a subset of Y, then Z \ Y is a subset of Z \ X
% 0.20/0.60 % Version : [LS74] axioms.
% 0.20/0.60 % English :
% 0.20/0.60
% 0.20/0.60 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.20/0.60 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.20/0.60 % Source : [SPRFN]
% 0.20/0.60 % Names : ls116 [LS74]
% 0.20/0.60 % : ls116 [WM76]
% 0.20/0.60
% 0.20/0.60 % Status : Unsatisfiable
% 0.20/0.60 % 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
% 0.20/0.60 % Syntax : Number of clauses : 16 ( 4 unt; 5 nHn; 14 RR)
% 0.20/0.60 % Number of literals : 38 ( 0 equ; 18 neg)
% 0.20/0.60 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.60 % Number of predicates : 4 ( 4 usr; 0 prp; 2-3 aty)
% 0.20/0.60 % Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% 0.20/0.60 % Number of variables : 34 ( 2 sgn)
% 0.20/0.60 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.60
% 0.20/0.60 % Comments :
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 %----Include the member and subset axioms
% 0.20/0.60 include('Axioms/SET001-0.ax').
% 0.20/0.60 %----Include the member and difference axioms
% 0.20/0.60 include('Axioms/SET001-3.ax').
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 cnf(d_is_a_subset_of_a,hypothesis,
% 0.20/0.60 subset(d,a) ).
% 0.20/0.60
% 0.20/0.60 cnf(b_minus_a,hypothesis,
% 0.20/0.60 difference(b,a,bDa) ).
% 0.20/0.60
% 0.20/0.60 cnf(b_minus_d,hypothesis,
% 0.20/0.60 difference(b,d,bDd) ).
% 0.20/0.60
% 0.20/0.60 cnf(prove_bDa_is_a_subset_of_bDd,negated_conjecture,
% 0.20/0.60 ~ subset(bDa,bDd) ).
% 0.20/0.60
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof
% 0.20/0.61 %ClaNum:16(EqnAxiom:0)
% 0.20/0.61 %VarNum:90(SingletonVarNum:34)
% 0.20/0.61 %MaxLitNum:4
% 0.20/0.61 %MaxfuncDepth:1
% 0.20/0.61 %SharedTerms:9
% 0.20/0.61 %goalClause: 4
% 0.20/0.61 %singleGoalClaCount:1
% 0.20/0.61 [1]P1(a1,a2)
% 0.20/0.61 [2]P2(a3,a1,a4)
% 0.20/0.61 [3]P2(a3,a2,a5)
% 0.20/0.61 [4]~P1(a5,a4)
% 0.20/0.61 [5]~P3(x52,x51)+P1(x51,x52)
% 0.20/0.61 [6]~P3(x61,x62)+P1(x61,x62)
% 0.20/0.61 [7]P1(x71,x72)+P4(f6(x71,x72),x71)
% 0.20/0.61 [10]P1(x101,x102)+~P4(f6(x101,x102),x102)
% 0.20/0.61 [9]~P1(x91,x92)+~P1(x92,x91)+P3(x91,x92)
% 0.20/0.61 [8]~P1(x83,x82)+P4(x81,x82)+~P4(x81,x83)
% 0.20/0.61 [14]P2(x141,x142,x143)+P4(f7(x141,x142,x143),x143)+P4(f7(x141,x142,x143),x141)
% 0.20/0.61 [15]P2(x151,x152,x153)+P4(f7(x151,x152,x153),x153)+~P4(f7(x151,x152,x153),x152)
% 0.20/0.61 [11]P4(x111,x112)+~P2(x112,x114,x113)+~P4(x111,x113)
% 0.20/0.61 [12]~P4(x121,x122)+~P2(x124,x123,x122)+~P4(x121,x123)
% 0.20/0.61 [16]P2(x161,x162,x163)+P4(f7(x161,x162,x163),x162)+~P4(f7(x161,x162,x163),x163)+~P4(f7(x161,x162,x163),x161)
% 0.20/0.61 [13]~P2(x134,x133,x132)+P4(x131,x132)+P4(x131,x133)+~P4(x131,x134)
% 0.20/0.61 %EqnAxiom
% 0.20/0.61
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 cnf(19,plain,
% 0.20/0.61 (~P4(f6(a5,a4),a4)),
% 0.20/0.61 inference(scs_inference,[],[4,6,5,10])).
% 0.20/0.61 cnf(21,plain,
% 0.20/0.61 (P4(f6(a5,a4),a5)),
% 0.20/0.61 inference(scs_inference,[],[4,6,5,10,7])).
% 0.20/0.61 cnf(23,plain,
% 0.20/0.61 (~P4(f6(a5,a4),a2)),
% 0.20/0.61 inference(scs_inference,[],[4,3,6,5,10,7,12])).
% 0.20/0.61 cnf(27,plain,
% 0.20/0.61 (~P4(f6(a5,a4),a1)),
% 0.20/0.61 inference(scs_inference,[],[4,1,3,6,5,10,7,12,11,8])).
% 0.20/0.61 cnf(35,plain,
% 0.20/0.61 (P4(f7(a4,a4,a5),a5)),
% 0.20/0.61 inference(scs_inference,[],[4,1,3,6,5,10,7,12,11,8,13,9,15,14])).
% 0.20/0.61 cnf(37,plain,
% 0.20/0.61 (~P4(f7(a4,a4,a5),a2)),
% 0.20/0.61 inference(scs_inference,[],[3,35,12])).
% 0.20/0.61 cnf(39,plain,
% 0.20/0.61 (P4(f7(a4,a4,a5),a3)),
% 0.20/0.61 inference(scs_inference,[],[3,35,12,11])).
% 0.20/0.61 cnf(41,plain,
% 0.20/0.61 (~P1(a5,a1)),
% 0.20/0.61 inference(scs_inference,[],[3,35,27,21,12,11,8])).
% 0.20/0.61 cnf(43,plain,
% 0.20/0.61 (~P4(f6(a5,a4),a3)),
% 0.20/0.61 inference(scs_inference,[],[2,3,19,35,27,21,12,11,8,13])).
% 0.20/0.61 cnf(61,plain,
% 0.20/0.61 (~P1(a3,a2)),
% 0.20/0.61 inference(scs_inference,[],[23,37,39,41,21,12,11,13,6,8])).
% 0.20/0.61 cnf(87,plain,
% 0.20/0.61 ($false),
% 0.20/0.61 inference(scs_inference,[],[3,61,43,37,35,21,7,12,8,10,5,11]),
% 0.20/0.61 ['proof']).
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time :0.010000s
%------------------------------------------------------------------------------