TSTP Solution File: SET005-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET005-1 : 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 : 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 : 300s
% DateTime : Thu Aug 31 14:27:46 EDT 2023
% Result : Unsatisfiable 0.81s 0.88s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SET005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 12:14:23 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.60 start to proof:theBenchmark
% 0.81/0.88 %-------------------------------------------
% 0.81/0.88 % File :CSE---1.6
% 0.81/0.88 % Problem :theBenchmark
% 0.81/0.88 % Transform :cnf
% 0.81/0.88 % Format :tptp:raw
% 0.81/0.88 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.88
% 0.81/0.88 % Result :Theorem 0.210000s
% 0.81/0.88 % Output :CNFRefutation 0.210000s
% 0.81/0.88 %-------------------------------------------
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 % File : SET005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.81/0.88 % Domain : Set Theory
% 0.81/0.88 % Problem : Associativity of set intersection
% 0.81/0.88 % Version : [LS74] axioms.
% 0.81/0.88 % English :
% 0.81/0.88
% 0.81/0.88 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.81/0.88 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.81/0.88 % Source : [SPRFN]
% 0.81/0.88 % Names : ls108 [LS74]
% 0.81/0.88 % : ls108 [WM76]
% 0.81/0.88
% 0.81/0.88 % Status : Unsatisfiable
% 0.81/0.88 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.1.0, 0.12 v2.0.0
% 0.81/0.88 % Syntax : Number of clauses : 16 ( 4 unt; 3 nHn; 13 RR)
% 0.81/0.88 % Number of literals : 38 ( 0 equ; 18 neg)
% 0.81/0.88 % Maximal clause size : 4 ( 2 avg)
% 0.81/0.88 % Maximal term depth : 2 ( 1 avg)
% 0.81/0.88 % Number of predicates : 4 ( 4 usr; 0 prp; 2-3 aty)
% 0.81/0.88 % Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% 0.81/0.88 % Number of variables : 34 ( 2 sgn)
% 0.81/0.88 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.81/0.88
% 0.81/0.88 % Comments :
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 %----Include the member and subset axioms
% 0.81/0.88 include('Axioms/SET001-0.ax').
% 0.81/0.88 %----Include the member and intersection axioms
% 0.81/0.88 include('Axioms/SET001-2.ax').
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 cnf(a_intersection_b,axiom,
% 0.81/0.88 intersection(a,b,aIb) ).
% 0.81/0.88
% 0.81/0.88 cnf(b_intersection_c,axiom,
% 0.81/0.88 intersection(b,c,bIc) ).
% 0.81/0.88
% 0.81/0.88 cnf(a_intersection_bIc,axiom,
% 0.81/0.88 intersection(a,bIc,aIbIc) ).
% 0.81/0.88
% 0.81/0.88 cnf(prove_aIb_intersection_c_is_aIbIc,negated_conjecture,
% 0.81/0.88 ~ intersection(aIb,c,aIbIc) ).
% 0.81/0.88
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 %-------------------------------------------
% 0.81/0.88 % Proof found
% 0.81/0.88 % SZS status Theorem for theBenchmark
% 0.81/0.88 % SZS output start Proof
% 0.81/0.88 %ClaNum:16(EqnAxiom:0)
% 0.81/0.88 %VarNum:90(SingletonVarNum:34)
% 0.81/0.88 %MaxLitNum:4
% 0.81/0.88 %MaxfuncDepth:1
% 0.81/0.88 %SharedTerms:10
% 0.81/0.88 %goalClause: 4
% 0.81/0.88 %singleGoalClaCount:1
% 0.81/0.88 [1]P1(a1,a2,a3)
% 0.81/0.88 [2]P1(a1,a5,a4)
% 0.81/0.88 [3]P1(a2,a6,a5)
% 0.81/0.88 [4]~P1(a3,a6,a4)
% 0.81/0.88 [5]~P2(x52,x51)+P3(x51,x52)
% 0.81/0.88 [6]~P2(x61,x62)+P3(x61,x62)
% 0.81/0.88 [7]P3(x71,x72)+P4(f7(x71,x72),x71)
% 0.81/0.88 [10]P3(x101,x102)+~P4(f7(x101,x102),x102)
% 0.81/0.88 [9]~P3(x91,x92)+~P3(x92,x91)+P2(x91,x92)
% 0.81/0.88 [8]~P3(x83,x82)+P4(x81,x82)+~P4(x81,x83)
% 0.81/0.88 [14]P1(x141,x142,x143)+P4(f8(x141,x142,x143),x143)+P4(f8(x141,x142,x143),x142)
% 0.81/0.88 [15]P1(x151,x152,x153)+P4(f8(x151,x152,x153),x153)+P4(f8(x151,x152,x153),x151)
% 0.81/0.88 [11]P4(x111,x112)+~P1(x114,x112,x113)+~P4(x111,x113)
% 0.81/0.88 [12]P4(x121,x122)+~P1(x122,x124,x123)+~P4(x121,x123)
% 0.81/0.88 [16]P1(x161,x162,x163)+~P4(f8(x161,x162,x163),x163)+~P4(f8(x161,x162,x163),x162)+~P4(f8(x161,x162,x163),x161)
% 0.81/0.88 [13]~P1(x134,x133,x132)+P4(x131,x132)+~P4(x131,x133)+~P4(x131,x134)
% 0.81/0.88 %EqnAxiom
% 0.81/0.88
% 0.81/0.88 %-------------------------------------------
% 0.81/0.89 cnf(17,plain,
% 0.81/0.89 (~P4(x171,a3)+P4(x171,a1)),
% 0.81/0.89 inference(scs_inference,[],[1,12])).
% 0.81/0.89 cnf(18,plain,
% 0.81/0.89 (~P4(x181,a3)+P4(x181,a2)),
% 0.81/0.89 inference(scs_inference,[],[1,12,11])).
% 0.81/0.89 cnf(37,plain,
% 0.81/0.89 (~P4(x371,a4)+P4(x371,a1)),
% 0.81/0.89 inference(scs_inference,[],[2,12])).
% 0.81/0.89 cnf(38,plain,
% 0.81/0.89 (~P4(x381,a4)+P4(x381,a5)),
% 0.81/0.89 inference(scs_inference,[],[2,12,11])).
% 0.81/0.89 cnf(39,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a4)+P4(f8(a3,a6,a4),a3)),
% 0.81/0.89 inference(scs_inference,[],[4,2,12,11,15])).
% 0.81/0.89 cnf(42,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a6)+P4(f8(a3,a6,a4),a4)),
% 0.81/0.89 inference(scs_inference,[],[4,14])).
% 0.81/0.89 cnf(46,plain,
% 0.81/0.89 (~P4(x461,a5)+~P4(x461,a1)+P4(x461,a4)),
% 0.81/0.89 inference(scs_inference,[],[2,13])).
% 0.81/0.89 cnf(50,plain,
% 0.81/0.89 (~P4(x501,a5)+P4(x501,a2)),
% 0.81/0.89 inference(scs_inference,[],[3,12])).
% 0.81/0.89 cnf(51,plain,
% 0.81/0.89 (~P4(x511,a5)+P4(x511,a6)),
% 0.81/0.89 inference(scs_inference,[],[3,12,11])).
% 0.81/0.89 cnf(58,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a3)+P4(f8(a3,a6,a4),a1)),
% 0.81/0.89 inference(scs_inference,[],[39,37])).
% 0.81/0.89 cnf(59,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a6)+P4(f8(a3,a6,a4),a5)),
% 0.81/0.89 inference(scs_inference,[],[42,38])).
% 0.81/0.89 cnf(60,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a1)),
% 0.81/0.89 inference(scs_inference,[],[58,17])).
% 0.81/0.89 cnf(72,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a4)+~P4(f8(a3,a6,a4),a5)),
% 0.81/0.89 inference(scs_inference,[],[60,46])).
% 0.81/0.89 cnf(101,plain,
% 0.81/0.89 (~P4(f8(a3,a6,a4),a2)+P4(f8(a3,a6,a4),a3)),
% 0.81/0.89 inference(scs_inference,[],[1,60,13])).
% 0.81/0.89 cnf(157,plain,
% 0.81/0.89 (~P4(x1571,a6)+~P4(x1571,a2)+P4(x1571,a5)),
% 0.81/0.89 inference(scs_inference,[],[3,13])).
% 0.81/0.89 cnf(178,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a5)+~P4(f8(a3,a6,a4),a2)),
% 0.81/0.89 inference(scs_inference,[],[59,157])).
% 0.81/0.89 cnf(179,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a5)+~P4(f8(a3,a6,a4),a3)),
% 0.81/0.89 inference(scs_inference,[],[178,18])).
% 0.81/0.89 cnf(180,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a4)+P4(f8(a3,a6,a4),a5)),
% 0.81/0.89 inference(scs_inference,[],[179,39])).
% 0.81/0.89 cnf(181,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a5)),
% 0.81/0.89 inference(scs_inference,[],[180,38])).
% 0.81/0.89 cnf(182,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a4)),
% 0.81/0.89 inference(scs_inference,[],[181,72])).
% 0.81/0.89 cnf(185,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a2)),
% 0.81/0.89 inference(scs_inference,[],[181,51,50])).
% 0.81/0.89 cnf(187,plain,
% 0.81/0.89 (~P4(f8(a3,a6,a4),a3)+~P4(f8(a3,a6,a4),a4)),
% 0.81/0.89 inference(scs_inference,[],[181,4,51,50,16])).
% 0.81/0.89 cnf(228,plain,
% 0.81/0.89 (P4(f8(a3,a6,a4),a3)),
% 0.81/0.89 inference(scs_inference,[],[185,101])).
% 0.81/0.89 cnf(253,plain,
% 0.81/0.89 ($false),
% 0.81/0.89 inference(scs_inference,[],[182,228,187]),
% 0.81/0.89 ['proof']).
% 0.81/0.89 % SZS output end Proof
% 0.81/0.89 % Total time :0.210000s
%------------------------------------------------------------------------------