TSTP Solution File: NUM450+6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 : Wed Aug 31 18:05:11 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 71 ( 8 unt; 0 def)
% Number of atoms : 1108 ( 163 equ)
% Maximal formula atoms : 56 ( 15 avg)
% Number of connectives : 1383 ( 346 ~; 280 |; 664 &)
% ( 38 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-2 aty)
% Number of variables : 310 ( 208 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f818,plain,
$false,
inference(resolution,[],[f817,f592]) ).
fof(f592,plain,
aElementOf0(sz10,cS2076),
inference(forward_demodulation,[],[f559,f501]) ).
fof(f501,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f360,f320]) ).
fof(f320,plain,
xS = cS2043,
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( xS = cS2043
& ! [X0] :
( ( ~ aElementOf0(X0,xS)
| ( isPrime0(sK17(X0))
& aInteger0(sK17(X0))
& sP5(sK17(X0))
& sz00 != sK17(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK17(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17(X0))) ) )
& ( ! [X2] :
( sz00 = X2
| ~ isPrime0(X2)
| ( sP4(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0 )
| ~ aInteger0(X2) )
| aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f174,f175]) ).
fof(f175,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& sP5(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> ( isPrime0(sK17(X0))
& aInteger0(sK17(X0))
& sP5(sK17(X0))
& sz00 != sK17(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK17(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( xS = cS2043
& ! [X0] :
( ( ~ aElementOf0(X0,xS)
| ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& sP5(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& ( ! [X2] :
( sz00 = X2
| ~ isPrime0(X2)
| ( sP4(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0 )
| ~ aInteger0(X2) )
| aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( xS = cS2043
& ! [X0] :
( ( ~ aElementOf0(X0,xS)
| ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& sP5(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& ( ! [X5] :
( sz00 = X5
| ~ isPrime0(X5)
| ( sP4(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 )
| ~ aInteger0(X5) )
| aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(definition_folding,[],[f131,f139,f138]) ).
fof(f138,plain,
! [X5] :
( ! [X6] :
( ( ( aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( ( ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) )
| ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
| ~ sP4(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f139,plain,
! [X1] :
( ! [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f131,plain,
( xS = cS2043
& ! [X0] :
( ( ~ aElementOf0(X0,xS)
| ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& ! [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& ( ! [X5] :
( sz00 = X5
| ~ isPrime0(X5)
| ( ! [X6] :
( ( ( aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( ( ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) )
| ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 )
| ~ aInteger0(X5) )
| aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
( aSet0(xS)
& xS = cS2043
& ! [X0] :
( ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sz00 != X1
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aInteger0(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ isPrime0(X5)
| sz00 = X5
| ~ aInteger0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( ( aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
( aSet0(xS)
& xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sz00 != X1
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) ) ) )
& aInteger0(X1) ) )
& ( ? [X5] :
( isPrime0(X5)
& sz00 != X5
& aInteger0(X5)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) ) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) ) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 ) )
=> aElementOf0(X0,xS) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) ) ) )
& isPrime0(X1)
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& ( ? [X1] :
( sz00 != X1
& isPrime0(X1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& aInteger0(X1) )
=> aElementOf0(X0,xS) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f360,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ! [X0] :
( ( ( aElementOf0(X0,sK22(X0))
& aElementOf0(sK22(X0),xS)
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X0,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X0) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X4
& sz10 != X4 ) )
& ( smndt0(sz10) = X4
| sz10 = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f197,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
=> ( aElementOf0(X0,sK22(X0))
& aElementOf0(sK22(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
( ! [X0] :
( ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X0,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X0) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X4
& sz10 != X4 ) )
& ( smndt0(sz10) = X4
| sz10 = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) ) ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
( ! [X2] :
( ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) )
& ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) ) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
( ! [X2] :
( ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) )
& ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X2] :
( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
<=> aElementOf0(X2,sbsmnsldt0(xS)) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
fof(f559,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))),
inference(equality_resolution,[],[f508]) ).
fof(f508,plain,
! [X4] :
( aElementOf0(X4,stldt0(sbsmnsldt0(cS2043)))
| sz10 != X4 ),
inference(definition_unfolding,[],[f353,f320]) ).
fof(f353,plain,
! [X4] :
( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| sz10 != X4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f817,plain,
~ aElementOf0(sz10,cS2076),
inference(trivial_inequality_removal,[],[f815]) ).
fof(f815,plain,
( ~ aElementOf0(sz10,cS2076)
| sz00 != sz00 ),
inference(superposition,[],[f584,f803]) ).
fof(f803,plain,
sz00 = sK34(sz10),
inference(resolution,[],[f786,f592]) ).
fof(f786,plain,
( ~ aElementOf0(sz10,cS2076)
| sz00 = sK34(sz10) ),
inference(resolution,[],[f774,f574]) ).
fof(f574,plain,
! [X5] :
( aInteger0(sK34(X5))
| ~ aElementOf0(X5,cS2076) ),
inference(forward_demodulation,[],[f535,f501]) ).
fof(f535,plain,
! [X5] :
( aInteger0(sK34(X5))
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f443,f320]) ).
fof(f443,plain,
! [X5] :
( aInteger0(sK34(X5))
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ) )
& isClosed0(sbsmnsldt0(xS))
& ! [X2] :
( ( ( aInteger0(X2)
& aElementOf0(sK33(X2),xS)
& aElementOf0(X2,sK33(X2)) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) )
& ( aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X2,X4) ) ) )
& ! [X5] :
( ( sz00 != sK34(X5)
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)))
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aInteger0(sK34(X5))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)))
& sP12(sK34(X5),X5) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) )
& ! [X8] :
( ( aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X8)
| ! [X9] :
( ~ aElementOf0(X9,xS)
| ~ aElementOf0(X8,X9) ) )
& ( ( aInteger0(X8)
& aElementOf0(sK35(X8),xS)
& aElementOf0(X8,sK35(X8)) )
| ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X11] :
( ( sz00 != sK36(X11)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)))
& sP11(sK36(X11),X11)
& aInteger0(sK36(X11))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36])],[f242,f246,f245,f244,f243]) ).
fof(f243,plain,
! [X2] :
( ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) )
=> ( aElementOf0(sK33(X2),xS)
& aElementOf0(X2,sK33(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X5] :
( ? [X6] :
( sz00 != X6
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X6)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP12(X6,X5) )
=> ( sz00 != sK34(X5)
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)))
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aInteger0(sK34(X5))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)))
& sP12(sK34(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X8] :
( ? [X10] :
( aElementOf0(X10,xS)
& aElementOf0(X8,X10) )
=> ( aElementOf0(sK35(X8),xS)
& aElementOf0(X8,sK35(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X11] :
( ? [X12] :
( sz00 != X12
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& sP11(X12,X11)
& aInteger0(X12)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) ) )
=> ( sz00 != sK36(X11)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)))
& sP11(sK36(X11),X11)
& aInteger0(sK36(X11))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,sK36(X11)))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
( ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ) )
& isClosed0(sbsmnsldt0(xS))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) )
& ( aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X2,X4) ) ) )
& ! [X5] :
( ? [X6] :
( sz00 != X6
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X6)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP12(X6,X5) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) )
& ! [X8] :
( ( aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X8)
| ! [X9] :
( ~ aElementOf0(X9,xS)
| ~ aElementOf0(X8,X9) ) )
& ( ( aInteger0(X8)
& ? [X10] :
( aElementOf0(X10,xS)
& aElementOf0(X8,X10) ) )
| ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X11] :
( ? [X12] :
( sz00 != X12
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& sP11(X12,X11)
& aInteger0(X12)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
( ! [X14] :
( ( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X14,sbsmnsldt0(xS))
| ~ aInteger0(X14) )
& ( ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) )
| ~ aElementOf0(X14,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X17] :
( ( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
| ~ aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X17,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X17,sbsmnsldt0(xS))
| ~ aInteger0(X17) ) )
& isClosed0(sbsmnsldt0(xS))
& ! [X15] :
( ( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(X15,sbsmnsldt0(xS))
| ~ aInteger0(X15)
| ! [X16] :
( ~ aElementOf0(X16,xS)
| ~ aElementOf0(X15,X16) ) ) )
& ! [X8] :
( ? [X9] :
( sz00 != X9
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X9)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& sP12(X9,X8) )
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( ( aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X6,X7) ) )
& ( ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) )
| ~ aElementOf0(X6,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP11(X1,X0)
& aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
( ! [X14] :
( ( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X14,sbsmnsldt0(xS))
| ~ aInteger0(X14) )
& ( ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) )
| ~ aElementOf0(X14,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X17] :
( ( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
| ~ aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X17,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X17,sbsmnsldt0(xS))
| ~ aInteger0(X17) ) )
& isClosed0(sbsmnsldt0(xS))
& ! [X15] :
( ( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(X15,sbsmnsldt0(xS))
| ~ aInteger0(X15)
| ! [X16] :
( ~ aElementOf0(X16,xS)
| ~ aElementOf0(X15,X16) ) ) )
& ! [X8] :
( ? [X9] :
( sz00 != X9
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X9)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& sP12(X9,X8) )
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( ( aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X6,X7) ) )
& ( ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) )
| ~ aElementOf0(X6,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP11(X1,X0)
& aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
( ! [X14] :
( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X17] :
( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& isClosed0(sbsmnsldt0(xS))
& ! [X15] :
( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
<=> aElementOf0(X15,sbsmnsldt0(xS)) )
& ! [X8] :
( ? [X9] :
( sz00 != X9
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X9)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& sP12(X9,X8) )
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( aElementOf0(X6,sbsmnsldt0(xS))
<=> ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP11(X1,X0)
& aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(definition_folding,[],[f118,f149,f148]) ).
fof(f148,plain,
! [X1,X0] :
( ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3)
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) ) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) ) )
| ~ sP11(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f149,plain,
! [X9,X8] :
( ! [X11] :
( ( ( sdteqdtlpzmzozddtrp0(X11,X8,X9)
& aInteger0(X11)
& aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ? [X12] :
( aInteger0(X12)
& sdtpldt0(X11,smndt0(X8)) = sdtasdt0(X9,X12) ) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtasdt0(X9,X13) != sdtpldt0(X11,smndt0(X8)) )
& ~ aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ~ sdteqdtlpzmzozddtrp0(X11,X8,X9) )
| ~ aInteger0(X11) ) )
| ~ sP12(X9,X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f118,plain,
( ! [X14] :
( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X17] :
( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& isClosed0(sbsmnsldt0(xS))
& ! [X15] :
( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
<=> aElementOf0(X15,sbsmnsldt0(xS)) )
& ! [X8] :
( ? [X9] :
( sz00 != X9
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X9)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& ! [X11] :
( ( ( sdteqdtlpzmzozddtrp0(X11,X8,X9)
& aInteger0(X11)
& aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ? [X12] :
( aInteger0(X12)
& sdtpldt0(X11,smndt0(X8)) = sdtasdt0(X9,X12) ) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtasdt0(X9,X13) != sdtpldt0(X11,smndt0(X8)) )
& ~ aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ~ sdteqdtlpzmzozddtrp0(X11,X8,X9) )
| ~ aInteger0(X11) ) ) )
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( aElementOf0(X6,sbsmnsldt0(xS))
<=> ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3)
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) ) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) ) )
& aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( ! [X6] :
( aElementOf0(X6,sbsmnsldt0(xS))
<=> ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) ) )
& ! [X0] :
( ? [X1] :
( sz00 != X1
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aInteger0(X1)
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3)
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) ) ) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) )
| ~ aInteger0(X3) ) ) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X17] :
( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& ! [X14] :
( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) ) )
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X15] :
( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
<=> aElementOf0(X15,sbsmnsldt0(xS)) )
& ! [X8] :
( ? [X9] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& sz00 != X9
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& ! [X11] :
( ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9))
| ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtasdt0(X9,X13) != sdtpldt0(X11,smndt0(X8)) )
& ~ aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ~ sdteqdtlpzmzozddtrp0(X11,X8,X9) ) )
& ( ( sdteqdtlpzmzozddtrp0(X11,X8,X9)
& aInteger0(X11)
& aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ? [X12] :
( aInteger0(X12)
& sdtpldt0(X11,smndt0(X8)) = sdtasdt0(X9,X12) ) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9)) ) )
& aInteger0(X9) )
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X6] :
( aElementOf0(X6,sbsmnsldt0(xS))
<=> ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X6,X7) ) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( sz00 != X1
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aInteger0(X1)
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3)
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) ) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ? [X4] :
( aInteger0(X4)
& sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X4) )
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X17] :
( ( ~ aElementOf0(X17,sbsmnsldt0(xS))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& ! [X14] :
( aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X14,sbsmnsldt0(xS))
& aInteger0(X14) ) )
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X15] :
( ( aInteger0(X15)
& ? [X16] :
( aElementOf0(X16,xS)
& aElementOf0(X15,X16) ) )
<=> aElementOf0(X15,sbsmnsldt0(xS)) )
& ! [X8] :
( aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
=> ? [X9] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X8,X9),stldt0(sbsmnsldt0(xS)))
& sz00 != X9
& ! [X10] :
( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X8,X9))
=> aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X8,X9))
& ! [X11] :
( ( ( aInteger0(X11)
& ( sdteqdtlpzmzozddtrp0(X11,X8,X9)
| ? [X13] :
( sdtasdt0(X9,X13) = sdtpldt0(X11,smndt0(X8))
& aInteger0(X13) )
| aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8))) ) )
=> aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X8,X9))
=> ( sdteqdtlpzmzozddtrp0(X11,X8,X9)
& aInteger0(X11)
& aDivisorOf0(X9,sdtpldt0(X11,smndt0(X8)))
& ? [X12] :
( aInteger0(X12)
& sdtpldt0(X11,smndt0(X8)) = sdtasdt0(X9,X12) ) ) ) )
& aInteger0(X9) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( ( ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) ) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1 ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) ) )
& ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) )
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(f774,plain,
( ~ aInteger0(sK34(sz10))
| sz00 = sK34(sz10) ),
inference(resolution,[],[f773,f592]) ).
fof(f773,plain,
( ~ aElementOf0(sz10,cS2076)
| ~ aInteger0(sK34(sz10))
| sz00 = sK34(sz10) ),
inference(resolution,[],[f586,f590]) ).
fof(f590,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),cS2076)
| sz00 = X0
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f520,f501]) ).
fof(f520,plain,
! [X0] :
( sz00 = X0
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X0) ),
inference(definition_unfolding,[],[f404,f320]) ).
fof(f404,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( aElementOf0(sK30(X0),szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(sK30(X0),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& aSet0(sbsmnsldt0(xS))
& sP10
& sP8(X0)
& sP9
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f229,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
=> ( aElementOf0(sK30(X0),szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(sK30(X0),stldt0(sbsmnsldt0(xS))) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& aSet0(sbsmnsldt0(xS))
& sP10
& sP8(X0)
& sP9
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& aSet0(sbsmnsldt0(xS))
& sP10
& sP8(X0)
& sP9
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f107,f146,f145,f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ~ aInteger0(X1)
| ( ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) )
& ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0) ) ) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f145,plain,
( ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(X4,X5) )
& aInteger0(X4) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f146,plain,
( ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f107,plain,
! [X0] :
( ( ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& aSet0(sbsmnsldt0(xS))
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ! [X1] :
( ( ( ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ~ aInteger0(X1)
| ( ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) )
& ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0) ) ) )
& ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(X4,X5) )
& aInteger0(X4) ) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(X4,X5) )
& aInteger0(X4) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ~ aInteger0(X1)
| ( ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) )
& ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0) ) )
& ( ( ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ? [X0] :
( ( ( ! [X1] :
( ( ( aInteger0(X1)
& ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(X4,X5) )
& aInteger0(X4) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X7,stldt0(sbsmnsldt0(xS))) ) ) ) ) )
& aInteger0(X0)
& sz00 != X0 ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& ( ( ! [X1] :
( ( ( aInteger0(X1)
& ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)) ) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ! [X1] :
( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
=> ( ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) ) ) ) )
& sz00 != X0 ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( aInteger0(X0)
& ( ( ! [X1] :
( ( ( aInteger0(X1)
& ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)) ) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ! [X1] :
( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
=> ( ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))) ) ) ) )
& sz00 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f586,plain,
! [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),cS2076)
| ~ aElementOf0(X5,cS2076) ),
inference(forward_demodulation,[],[f585,f501]) ).
fof(f585,plain,
! [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X5,cS2076) ),
inference(forward_demodulation,[],[f536,f501]) ).
fof(f536,plain,
! [X5] :
( ~ aElementOf0(X5,stldt0(sbsmnsldt0(cS2043)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f442,f320,f320]) ).
fof(f442,plain,
! [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK34(X5)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f247]) ).
fof(f584,plain,
! [X5] :
( sz00 != sK34(X5)
| ~ aElementOf0(X5,cS2076) ),
inference(forward_demodulation,[],[f533,f501]) ).
fof(f533,plain,
! [X5] :
( ~ aElementOf0(X5,stldt0(sbsmnsldt0(cS2043)))
| sz00 != sK34(X5) ),
inference(definition_unfolding,[],[f445,f320]) ).
fof(f445,plain,
! [X5] :
( sz00 != sK34(X5)
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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 : Tue Aug 30 06:37:04 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.48 % (20177)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (20185)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (20193)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (20173)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (20171)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (20192)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (20187)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (20197)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (20190)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (20169)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (20184)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (20172)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (20181)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (20188)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (20191)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (20182)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (20170)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (20196)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (20168)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (20178)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (20177)First to succeed.
% 0.20/0.54 % (20174)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (20186)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (20176)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (20176)Instruction limit reached!
% 0.20/0.54 % (20176)------------------------------
% 0.20/0.54 % (20176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20176)Termination reason: Unknown
% 0.20/0.54 % (20176)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (20176)Memory used [KB]: 1023
% 0.20/0.54 % (20176)Time elapsed: 0.002 s
% 0.20/0.54 % (20176)Instructions burned: 2 (million)
% 0.20/0.54 % (20176)------------------------------
% 0.20/0.54 % (20176)------------------------------
% 0.20/0.54 % (20195)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (20194)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (20189)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (20183)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (20180)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (20179)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (20175)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (20185)Instruction limit reached!
% 0.20/0.55 % (20185)------------------------------
% 0.20/0.55 % (20185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20175)Instruction limit reached!
% 0.20/0.55 % (20175)------------------------------
% 0.20/0.55 % (20175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20175)Termination reason: Unknown
% 0.20/0.55 % (20175)Termination phase: Equality resolution with deletion
% 0.20/0.55
% 0.20/0.55 % (20175)Memory used [KB]: 1279
% 0.20/0.55 % (20175)Time elapsed: 0.005 s
% 0.20/0.55 % (20175)Instructions burned: 8 (million)
% 0.20/0.55 % (20175)------------------------------
% 0.20/0.55 % (20175)------------------------------
% 0.20/0.56 % (20177)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (20177)------------------------------
% 0.20/0.56 % (20177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20177)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (20177)Memory used [KB]: 1791
% 0.20/0.56 % (20177)Time elapsed: 0.146 s
% 0.20/0.56 % (20177)Instructions burned: 28 (million)
% 0.20/0.56 % (20177)------------------------------
% 0.20/0.56 % (20177)------------------------------
% 0.20/0.56 % (20167)Success in time 0.212 s
%------------------------------------------------------------------------------