TSTP Solution File: SET008-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET008-1 : 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 : n016.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 14:27:46 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET008-1 : 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
% 0.13/0.34 % Computer : n016.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 : 300
% 0.13/0.34 % DateTime : Sat Aug 26 14:17:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.000000s
% 0.19/0.63 % Output :CNFRefutation 0.000000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 % File : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.64 % Domain : Set Theory
% 0.19/0.64 % Problem : (X \ Y) ^ Y = the empty set
% 0.19/0.64 % Version : [LS74] axioms.
% 0.19/0.64 % English : The difference of two sets contains no members of the
% 0.19/0.64 % subtracted set.
% 0.19/0.64
% 0.19/0.64 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.19/0.64 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.19/0.64 % Source : [SPRFN]
% 0.19/0.64 % Names : ls115 [LS74]
% 0.19/0.64 % : ls115 [WM76]
% 0.19/0.64
% 0.19/0.64 % Status : Unsatisfiable
% 0.19/0.64 % Rating : 0.00 v7.0.0, 0.12 v6.3.0, 0.00 v2.2.1, 0.25 v2.1.0, 0.00 v2.0.0
% 0.19/0.64 % Syntax : Number of clauses : 21 ( 3 unt; 7 nHn; 17 RR)
% 0.19/0.64 % Number of literals : 57 ( 0 equ; 29 neg)
% 0.19/0.64 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.64 % Number of predicates : 5 ( 5 usr; 0 prp; 2-3 aty)
% 0.19/0.64 % Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% 0.19/0.64 % Number of variables : 56 ( 5 sgn)
% 0.19/0.64 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %----Include the member and subset axioms
% 0.19/0.64 include('Axioms/SET001-0.ax').
% 0.19/0.64 %----Include the member and intersection axioms
% 0.19/0.64 include('Axioms/SET001-2.ax').
% 0.19/0.64 %----Include the member and difference axioms
% 0.19/0.64 include('Axioms/SET001-3.ax').
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 cnf(b_minus_a,hypothesis,
% 0.19/0.64 difference(b,a,bDa) ).
% 0.19/0.64
% 0.19/0.64 cnf(a_intersection_bDa,negated_conjecture,
% 0.19/0.64 ~ intersection(a,bDa,aI_bDa) ).
% 0.19/0.64
% 0.19/0.64 cnf(prove_aI_bDa_is_empty,negated_conjecture,
% 0.19/0.64 ~ member(A,aI_bDa) ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:21(EqnAxiom:0)
% 0.19/0.64 %VarNum:151(SingletonVarNum:56)
% 0.19/0.64 %MaxLitNum:4
% 0.19/0.64 %MaxfuncDepth:1
% 0.19/0.64 %SharedTerms:6
% 0.19/0.64 %goalClause: 2 3
% 0.19/0.64 %singleGoalClaCount:2
% 0.19/0.64 [1]P1(a1,a2,a4)
% 0.19/0.64 [3]~P3(a2,a4,a3)
% 0.19/0.64 [2]~P2(x21,a3)
% 0.19/0.64 [4]~P4(x42,x41)+P5(x41,x42)
% 0.19/0.64 [5]~P4(x51,x52)+P5(x51,x52)
% 0.19/0.64 [6]P5(x61,x62)+P2(f5(x61,x62),x61)
% 0.19/0.64 [9]P5(x91,x92)+~P2(f5(x91,x92),x92)
% 0.19/0.64 [8]~P5(x81,x82)+~P5(x82,x81)+P4(x81,x82)
% 0.19/0.64 [7]~P5(x73,x72)+P2(x71,x72)+~P2(x71,x73)
% 0.19/0.64 [16]P3(x161,x162,x163)+P2(f6(x161,x162,x163),x163)+P2(f6(x161,x162,x163),x162)
% 0.19/0.64 [17]P3(x171,x172,x173)+P2(f6(x171,x172,x173),x173)+P2(f6(x171,x172,x173),x171)
% 0.19/0.64 [18]P1(x181,x182,x183)+P2(f7(x181,x182,x183),x183)+P2(f7(x181,x182,x183),x181)
% 0.19/0.64 [19]P1(x191,x192,x193)+P2(f7(x191,x192,x193),x193)+~P2(f7(x191,x192,x193),x192)
% 0.19/0.64 [10]P2(x101,x102)+~P3(x104,x102,x103)+~P2(x101,x103)
% 0.19/0.64 [11]P2(x111,x112)+~P3(x112,x114,x113)+~P2(x111,x113)
% 0.19/0.64 [12]P2(x121,x122)+~P1(x122,x124,x123)+~P2(x121,x123)
% 0.19/0.64 [13]~P2(x131,x132)+~P1(x134,x133,x132)+~P2(x131,x133)
% 0.19/0.64 [20]P1(x201,x202,x203)+P2(f7(x201,x202,x203),x202)+~P2(f7(x201,x202,x203),x203)+~P2(f7(x201,x202,x203),x201)
% 0.19/0.64 [21]P3(x211,x212,x213)+~P2(f6(x211,x212,x213),x213)+~P2(f6(x211,x212,x213),x212)+~P2(f6(x211,x212,x213),x211)
% 0.19/0.64 [14]~P1(x144,x143,x142)+P2(x141,x142)+P2(x141,x143)+~P2(x141,x144)
% 0.19/0.64 [15]~P3(x154,x153,x152)+P2(x151,x152)+~P2(x151,x153)+~P2(x151,x154)
% 0.19/0.64 %EqnAxiom
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(23,plain,
% 0.19/0.64 (~P2(x231,a3)),
% 0.19/0.64 inference(rename_variables,[],[2])).
% 0.19/0.64 cnf(28,plain,
% 0.19/0.64 (~P2(x281,a3)),
% 0.19/0.64 inference(rename_variables,[],[2])).
% 0.19/0.64 cnf(32,plain,
% 0.19/0.64 (~P2(x321,a3)),
% 0.19/0.64 inference(rename_variables,[],[2])).
% 0.19/0.64 cnf(38,plain,
% 0.19/0.64 (~P2(x381,a2)+~P2(x381,a4)),
% 0.19/0.64 inference(scs_inference,[],[2,23,28,32,1,6,8,18,17,16,13])).
% 0.19/0.64 cnf(40,plain,
% 0.19/0.64 (~P2(x401,a4)+P2(x401,a1)),
% 0.19/0.64 inference(scs_inference,[],[2,23,28,32,1,6,8,18,17,16,13,12])).
% 0.19/0.64 cnf(42,plain,
% 0.19/0.64 (~P2(x421,x422)+~P2(x421,a4)+~P5(x422,a2)),
% 0.19/0.64 inference(scs_inference,[],[2,23,28,32,1,6,8,18,17,16,13,12,7])).
% 0.19/0.64 cnf(45,plain,
% 0.19/0.64 (~P2(x451,a3)),
% 0.19/0.64 inference(rename_variables,[],[2])).
% 0.19/0.64 cnf(48,plain,
% 0.19/0.64 (~P2(x481,a3)),
% 0.19/0.64 inference(rename_variables,[],[2])).
% 0.19/0.64 cnf(50,plain,
% 0.19/0.64 (P2(f6(a2,a4,a3),a4)),
% 0.19/0.64 inference(scs_inference,[],[2,45,48,3,19,17,16])).
% 0.19/0.64 cnf(53,plain,
% 0.19/0.64 (~P5(a2,a2)),
% 0.19/0.64 inference(scs_inference,[],[2,45,48,3,19,17,16,38,42])).
% 0.19/0.64 cnf(55,plain,
% 0.19/0.64 (P2(f5(a2,a2),a2)),
% 0.19/0.64 inference(scs_inference,[],[2,45,48,3,19,17,16,38,42,6])).
% 0.19/0.64 cnf(70,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[50,55,53,40,9]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------