TSTP Solution File: SET575+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 14:30:10 EDT 2023
% Result : Theorem 0.57s 0.63s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:35:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.57/0.62 %-------------------------------------------
% 0.57/0.62 % File :CSE---1.6
% 0.57/0.62 % Problem :theBenchmark
% 0.57/0.62 % Transform :cnf
% 0.57/0.62 % Format :tptp:raw
% 0.57/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.62
% 0.57/0.62 % Result :Theorem 0.000000s
% 0.57/0.62 % Output :CNFRefutation 0.000000s
% 0.57/0.62 %-------------------------------------------
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 % File : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.57/0.63 % Domain : Set Theory
% 0.57/0.63 % Problem : Trybulec's 15th Boolean property of sets
% 0.57/0.63 % Version : [Try90] axioms : Reduced > Incomplete.
% 0.57/0.63 % English :
% 0.57/0.63
% 0.57/0.63 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.57/0.63 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.57/0.63 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 0.57/0.63 % Source : [ILF]
% 0.57/0.63 % Names : BOOLE (15) [TS89]
% 0.57/0.63
% 0.57/0.63 % Status : Theorem
% 0.57/0.63 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.2.1
% 0.57/0.63 % Syntax : Number of formulae : 3 ( 0 unt; 0 def)
% 0.57/0.63 % Number of atoms : 8 ( 0 equ)
% 0.57/0.63 % Maximal formula atoms : 3 ( 2 avg)
% 0.57/0.63 % Number of connectives : 5 ( 0 ~; 0 |; 2 &)
% 0.57/0.63 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.57/0.63 % Maximal formula depth : 6 ( 5 avg)
% 0.57/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.57/0.63 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.57/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.57/0.63 % Number of variables : 8 ( 6 !; 2 ?)
% 0.57/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.57/0.63
% 0.57/0.63 % Comments :
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 %---- line(boole - df(5),1833080)
% 0.57/0.63 fof(intersect_defn,axiom,
% 0.57/0.63 ! [B,C] :
% 0.57/0.63 ( intersect(B,C)
% 0.57/0.63 <=> ? [D] :
% 0.57/0.63 ( member(D,B)
% 0.57/0.63 & member(D,C) ) ) ).
% 0.57/0.63
% 0.57/0.63 %---- property(symmetry,op(intersect,2,predicate))
% 0.57/0.63 fof(symmetry_of_intersect,axiom,
% 0.57/0.63 ! [B,C] :
% 0.57/0.63 ( intersect(B,C)
% 0.57/0.63 => intersect(C,B) ) ).
% 0.57/0.63
% 0.57/0.63 %---- line(boole - th(15),1833111)
% 0.57/0.63 fof(prove_th15,conjecture,
% 0.57/0.63 ! [B,C] :
% 0.57/0.63 ( intersect(B,C)
% 0.57/0.63 => ? [D] :
% 0.57/0.63 ( member(D,B)
% 0.57/0.63 & member(D,C) ) ) ).
% 0.57/0.63
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 % Proof found
% 0.57/0.63 % SZS status Theorem for theBenchmark
% 0.57/0.63 % SZS output start Proof
% 0.57/0.63 %ClaNum:6(EqnAxiom:0)
% 0.57/0.63 %VarNum:22(SingletonVarNum:10)
% 0.57/0.63 %MaxLitNum:3
% 0.57/0.63 %MaxfuncDepth:1
% 0.57/0.63 %SharedTerms:3
% 0.57/0.63 %goalClause: 1 3
% 0.57/0.63 %singleGoalClaCount:1
% 0.57/0.63 [1]P1(a1,a3)
% 0.57/0.63 [3]~P2(x31,a3)+~P2(x31,a1)
% 0.57/0.63 [2]~P1(x22,x21)+P1(x21,x22)
% 0.57/0.63 [5]~P1(x51,x52)+P2(f2(x51,x52),x52)
% 0.57/0.63 [6]~P1(x61,x62)+P2(f2(x61,x62),x61)
% 0.57/0.63 [4]~P2(x43,x41)+P1(x41,x42)+~P2(x43,x42)
% 0.57/0.63 %EqnAxiom
% 0.57/0.63
% 0.57/0.63 %-------------------------------------------
% 0.58/0.63 cnf(13,plain,
% 0.58/0.63 ($false),
% 0.58/0.63 inference(scs_inference,[],[1,2,6,5,4,3]),
% 0.58/0.63 ['proof']).
% 0.58/0.63 % SZS output end Proof
% 0.58/0.63 % Total time :0.000000s
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