TSTP Solution File: SET006-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET006-1 : 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 : n013.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 0.15s 0.57s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.30 % Computer : n013.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Sat Aug 26 10:32:47 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 0.15/0.56 %-------------------------------------------
% 0.15/0.56 % File :CSE---1.6
% 0.15/0.56 % Problem :theBenchmark
% 0.15/0.56 % Transform :cnf
% 0.15/0.56 % Format :tptp:raw
% 0.15/0.56 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.56
% 0.15/0.56 % Result :Theorem 0.000000s
% 0.15/0.56 % Output :CNFRefutation 0.000000s
% 0.15/0.56 %-------------------------------------------
% 0.15/0.57 %--------------------------------------------------------------------------
% 0.15/0.57 % File : SET006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.57 % Domain : Set Theory
% 0.15/0.57 % Problem : A = A ^ B if A (= B
% 0.15/0.57 % Version : [LS74] axioms.
% 0.15/0.57 % English : If the intersection of two sets is the first of the two sets,
% 0.15/0.57 % then the first is a subset of the second.
% 0.15/0.57
% 0.15/0.57 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.15/0.57 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.15/0.57 % Source : [SPRFN]
% 0.15/0.57 % Names : ls111 [LS74]
% 0.15/0.57 % : ls111 [WM76]
% 0.15/0.57
% 0.15/0.57 % Status : Unsatisfiable
% 0.15/0.57 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v2.0.0
% 0.15/0.57 % Syntax : Number of clauses : 14 ( 2 unt; 3 nHn; 11 RR)
% 0.15/0.57 % Number of literals : 36 ( 0 equ; 18 neg)
% 0.15/0.57 % Maximal clause size : 4 ( 2 avg)
% 0.15/0.57 % Maximal term depth : 2 ( 1 avg)
% 0.15/0.57 % Number of predicates : 4 ( 4 usr; 0 prp; 2-3 aty)
% 0.15/0.57 % Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% 0.15/0.57 % Number of variables : 34 ( 2 sgn)
% 0.15/0.57 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.15/0.57
% 0.15/0.57 % Comments :
% 0.15/0.57 %--------------------------------------------------------------------------
% 0.15/0.57 %----Include the member and subset axioms
% 0.15/0.57 include('Axioms/SET001-0.ax').
% 0.15/0.57 %----Include the member and intersection axioms
% 0.15/0.57 include('Axioms/SET001-2.ax').
% 0.15/0.57 %--------------------------------------------------------------------------
% 0.15/0.57 cnf(d_intersection_a_is_d,hypothesis,
% 0.15/0.57 intersection(d,a,d) ).
% 0.15/0.57
% 0.15/0.57 cnf(prove_d_is_a_subset_of_a,negated_conjecture,
% 0.15/0.57 ~ subset(d,a) ).
% 0.15/0.57
% 0.15/0.57 %--------------------------------------------------------------------------
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 % Proof found
% 0.15/0.57 % SZS status Theorem for theBenchmark
% 0.15/0.57 % SZS output start Proof
% 0.15/0.57 %ClaNum:14(EqnAxiom:0)
% 0.15/0.57 %VarNum:90(SingletonVarNum:34)
% 0.15/0.57 %MaxLitNum:4
% 0.15/0.57 %MaxfuncDepth:1
% 0.15/0.57 %SharedTerms:4
% 0.15/0.57 %goalClause: 2
% 0.15/0.57 %singleGoalClaCount:1
% 0.15/0.57 [1]P1(a1,a2,a1)
% 0.15/0.57 [2]~P3(a1,a2)
% 0.15/0.57 [3]~P2(x32,x31)+P3(x31,x32)
% 0.15/0.57 [4]~P2(x41,x42)+P3(x41,x42)
% 0.15/0.57 [5]P3(x51,x52)+P4(f3(x51,x52),x51)
% 0.15/0.57 [8]P3(x81,x82)+~P4(f3(x81,x82),x82)
% 0.15/0.57 [7]~P3(x71,x72)+~P3(x72,x71)+P2(x71,x72)
% 0.15/0.57 [6]~P3(x63,x62)+P4(x61,x62)+~P4(x61,x63)
% 0.15/0.57 [12]P1(x121,x122,x123)+P4(f4(x121,x122,x123),x123)+P4(f4(x121,x122,x123),x122)
% 0.15/0.57 [13]P1(x131,x132,x133)+P4(f4(x131,x132,x133),x133)+P4(f4(x131,x132,x133),x131)
% 0.15/0.57 [9]P4(x91,x92)+~P1(x94,x92,x93)+~P4(x91,x93)
% 0.15/0.57 [10]P4(x101,x102)+~P1(x102,x104,x103)+~P4(x101,x103)
% 0.15/0.57 [14]P1(x141,x142,x143)+~P4(f4(x141,x142,x143),x143)+~P4(f4(x141,x142,x143),x142)+~P4(f4(x141,x142,x143),x141)
% 0.15/0.57 [11]~P1(x114,x113,x112)+P4(x111,x112)+~P4(x111,x113)+~P4(x111,x114)
% 0.15/0.57 %EqnAxiom
% 0.15/0.57
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 cnf(23,plain,
% 0.15/0.57 ($false),
% 0.15/0.57 inference(scs_inference,[],[2,1,4,3,8,5,10,9]),
% 0.15/0.57 ['proof']).
% 0.15/0.57 % SZS output end Proof
% 0.15/0.57 % Total time :0.000000s
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