TSTP Solution File: NUM437+5 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM437+5 : 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_uns --cores 0 -t %d %s
% Computer : n029.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 17:59:32 EDT 2022
% Result : Theorem 2.00s 0.62s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 63 ( 6 unt; 0 def)
% Number of atoms : 633 ( 75 equ)
% Maximal formula atoms : 38 ( 10 avg)
% Number of connectives : 810 ( 240 ~; 203 |; 317 &)
% ( 14 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 179 ( 123 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f954,plain,
$false,
inference(avatar_sat_refutation,[],[f516,f801,f803,f806,f908,f953]) ).
fof(f953,plain,
( ~ spl19_32
| spl19_30
| ~ spl19_29
| ~ spl19_20
| ~ spl19_27 ),
inference(avatar_split_clause,[],[f949,f683,f501,f690,f694,f702]) ).
fof(f702,plain,
( spl19_32
<=> aElementOf0(sK1,sK4(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_32])]) ).
fof(f694,plain,
( spl19_30
<=> sz00 = sK12(sK4(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_30])]) ).
fof(f690,plain,
( spl19_29
<=> aInteger0(sK12(sK4(sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_29])]) ).
fof(f501,plain,
( spl19_20
<=> aElementOf0(sK4(sK1),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_20])]) ).
fof(f683,plain,
( spl19_27
<=> aInteger0(sK3(sK12(sK4(sK1),sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).
fof(f949,plain,
( ~ aElementOf0(sK4(sK1),xS)
| ~ aInteger0(sK12(sK4(sK1),sK1))
| sz00 = sK12(sK4(sK1),sK1)
| ~ aElementOf0(sK1,sK4(sK1))
| ~ spl19_27 ),
inference(resolution,[],[f675,f684]) ).
fof(f684,plain,
( aInteger0(sK3(sK12(sK4(sK1),sK1)))
| ~ spl19_27 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f675,plain,
! [X0] :
( ~ aInteger0(sK3(sK12(X0,sK1)))
| sz00 = sK12(X0,sK1)
| ~ aInteger0(sK12(X0,sK1))
| ~ aElementOf0(sK1,X0)
| ~ aElementOf0(X0,xS) ),
inference(duplicate_literal_removal,[],[f640]) ).
fof(f640,plain,
! [X0] :
( ~ aInteger0(sK3(sK12(X0,sK1)))
| sz00 = sK12(X0,sK1)
| ~ aInteger0(sK12(X0,sK1))
| ~ aInteger0(sK12(X0,sK1))
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK1,X0)
| sz00 = sK12(X0,sK1)
| ~ aElementOf0(X0,xS) ),
inference(resolution,[],[f558,f389]) ).
fof(f389,plain,
! [X6,X7] :
( ~ aElementOf0(sK3(X6),X7)
| ~ aElementOf0(X7,xS)
| ~ aInteger0(sK3(X6))
| ~ aInteger0(X6)
| sz00 = X6 ),
inference(resolution,[],[f192,f197]) ).
fof(f197,plain,
! [X1] :
( ~ aElementOf0(sK3(X1),sbsmnsldt0(xS))
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( aSet0(sbsmnsldt0(xS))
& aElementOf0(sK1,sbsmnsldt0(xS))
& ! [X1] :
( sz00 = X1
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK1,X1),sbsmnsldt0(xS))
& ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK1,X1))
| ( sdtasdt0(X1,sK2(X1,X2)) = sdtpldt0(X2,smndt0(sK1))
& aInteger0(sK2(X1,X2))
& sdteqdtlpzmzozddtrp0(X2,sK1,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sK1)))
& aInteger0(X2) ) )
& ( ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtasdt0(X1,X4) != sdtpldt0(X2,smndt0(sK1)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sK1,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sK1))) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK1,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK1,X1))
& ~ aElementOf0(sK3(X1),sbsmnsldt0(xS))
& aElementOf0(sK3(X1),szAzrzSzezqlpdtcmdtrp0(sK1,X1)) )
| ~ aInteger0(X1) )
& ! [X6] :
( ( ( aInteger0(X6)
& aElementOf0(X6,sK4(X6))
& aElementOf0(sK4(X6),xS) )
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6)
| ! [X8] :
( ~ aElementOf0(X6,X8)
| ~ aElementOf0(X8,xS) ) ) )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f119,f123,f122,f121,f120]) ).
fof(f120,plain,
( ? [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( sz00 = X1
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2) ) )
& ( ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ? [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aInteger0(X1) ) )
=> ( aElementOf0(sK1,sbsmnsldt0(xS))
& ! [X1] :
( sz00 = X1
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK1,X1),sbsmnsldt0(xS))
& ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK1,X1))
| ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sK1))
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X2,sK1,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sK1)))
& aInteger0(X2) ) )
& ( ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtasdt0(X1,X4) != sdtpldt0(X2,smndt0(sK1)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sK1,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sK1))) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK1,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK1,X1))
& ? [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sK1,X1)) ) )
| ~ aInteger0(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X1,X2] :
( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sK1))
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK2(X1,X2)) = sdtpldt0(X2,smndt0(sK1))
& aInteger0(sK2(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X1] :
( ? [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sK1,X1)) )
=> ( ~ aElementOf0(sK3(X1),sbsmnsldt0(xS))
& aElementOf0(sK3(X1),szAzrzSzezqlpdtcmdtrp0(sK1,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X6] :
( ? [X7] :
( aElementOf0(X6,X7)
& aElementOf0(X7,xS) )
=> ( aElementOf0(X6,sK4(X6))
& aElementOf0(sK4(X6),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( aSet0(sbsmnsldt0(xS))
& ? [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( sz00 = X1
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2) ) )
& ( ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ? [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aInteger0(X1) ) )
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aElementOf0(X6,X7)
& aElementOf0(X7,xS) ) )
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6)
| ! [X8] :
( ~ aElementOf0(X6,X8)
| ~ aElementOf0(X8,xS) ) ) )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
( aSet0(sbsmnsldt0(xS))
& ? [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
& ! [X3] :
( sz00 = X3
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
& sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4) ) )
& ( ~ aInteger0(X4)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ aInteger0(X3) ) )
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) ) )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( aSet0(sbsmnsldt0(xS))
& ? [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
& ! [X3] :
( sz00 = X3
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
& sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4) ) )
& ( ~ aInteger0(X4)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ aInteger0(X3) ) )
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) ) )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
( aSet0(sbsmnsldt0(xS))
& ? [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
& ! [X3] :
( sz00 = X3
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
& sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4) ) )
& ( ~ aInteger0(X4)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ aInteger0(X3) ) )
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
& sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4) ) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X4)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ aInteger0(X3)
| sz00 = X3 )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
=> ? [X3] :
( ( ( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
& sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4) ) )
& ( ( aInteger0(X4)
& ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| ? [X5] :
( aInteger0(X5)
& sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X5) ) ) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,sbsmnsldt0(xS)) ) ) )
& aInteger0(X3)
& sz00 != X3 ) ) ) ),
inference(rectify,[],[f39]) ).
fof(f39,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( sz00 != X1
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS)) ) )
& aInteger0(X1) ) ) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( sz00 != X1
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS)) ) )
& aInteger0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f192,plain,
! [X8,X6] :
( aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6)
| ~ aElementOf0(X6,X8)
| ~ aElementOf0(X8,xS) ),
inference(cnf_transformation,[],[f124]) ).
fof(f558,plain,
! [X2] :
( aElementOf0(sK3(sK12(X2,sK1)),X2)
| ~ aInteger0(sK12(X2,sK1))
| ~ aElementOf0(X2,xS)
| sz00 = sK12(X2,sK1)
| ~ aElementOf0(sK1,X2) ),
inference(resolution,[],[f273,f196]) ).
fof(f196,plain,
! [X1] :
( aElementOf0(sK3(X1),szAzrzSzezqlpdtcmdtrp0(sK1,X1))
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f273,plain,
! [X0,X1,X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,xS)
| aElementOf0(X6,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( aSet0(xS)
& ! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)))
& aInteger0(sK12(X0,X1))
& ! [X3] :
( ( ( aDivisorOf0(sK12(X0,X1),sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,sK12(X0,X1))
& aInteger0(X3)
& aInteger0(sK13(X0,X1,X3))
& sdtpldt0(X3,smndt0(X1)) = sdtasdt0(sK12(X0,X1),sK13(X0,X1,X3)) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) )
& ( ~ aInteger0(X3)
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,sK12(X0,X1))
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(sK12(X0,X1),X5) )
& ~ aDivisorOf0(sK12(X0,X1),sdtpldt0(X3,smndt0(X1))) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) ) )
& sz00 != sK12(X0,X1)
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)),X0) )
| ~ aElementOf0(X1,X0) )
& ! [X7] :
( ( aInteger0(X7)
| ~ aElementOf0(X7,cS1395) )
& ( aElementOf0(X7,cS1395)
| ~ aInteger0(X7) ) )
& aSubsetOf0(X0,cS1395)
& ! [X8] :
( ~ aElementOf0(X8,X0)
| aElementOf0(X8,cS1395) )
& isOpen0(X0)
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f158,f160,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& aInteger0(X2)
& ! [X3] :
( ( ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( ~ aInteger0(X3)
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X2)
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(X2,X5) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& sz00 != X2
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)))
& aInteger0(sK12(X0,X1))
& ! [X3] :
( ( ( aDivisorOf0(sK12(X0,X1),sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,sK12(X0,X1))
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtpldt0(X3,smndt0(X1)) = sdtasdt0(sK12(X0,X1),X4) ) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) )
& ( ~ aInteger0(X3)
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,sK12(X0,X1))
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(sK12(X0,X1),X5) )
& ~ aDivisorOf0(sK12(X0,X1),sdtpldt0(X3,smndt0(X1))) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) ) )
& sz00 != sK12(X0,X1)
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0,X1,X3] :
( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X3,smndt0(X1)) = sdtasdt0(sK12(X0,X1),X4) )
=> ( aInteger0(sK13(X0,X1,X3))
& sdtpldt0(X3,smndt0(X1)) = sdtasdt0(sK12(X0,X1),sK13(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( aSet0(xS)
& ! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& aInteger0(X2)
& ! [X3] :
( ( ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( ~ aInteger0(X3)
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X2)
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(X2,X5) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& sz00 != X2
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0) )
| ~ aElementOf0(X1,X0) )
& ! [X7] :
( ( aInteger0(X7)
| ~ aElementOf0(X7,cS1395) )
& ( aElementOf0(X7,cS1395)
| ~ aInteger0(X7) ) )
& aSubsetOf0(X0,cS1395)
& ! [X8] :
( ~ aElementOf0(X8,X0)
| aElementOf0(X8,cS1395) )
& isOpen0(X0)
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( aSet0(xS)
& ! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& aInteger0(X2)
& ! [X3] :
( ( ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( ~ aInteger0(X3)
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X2)
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(X2,X5) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& sz00 != X2
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0) )
| ~ aElementOf0(X1,X0) )
& ! [X7] :
( aInteger0(X7)
<=> aElementOf0(X7,cS1395) )
& aSubsetOf0(X0,cS1395)
& ! [X8] :
( ~ aElementOf0(X8,X0)
| aElementOf0(X8,cS1395) )
& isOpen0(X0)
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) ) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
( ! [X0] :
( ( aSubsetOf0(X0,cS1395)
& aSet0(cS1395)
& ! [X8] :
( ~ aElementOf0(X8,X0)
| aElementOf0(X8,cS1395) )
& isOpen0(X0)
& aSet0(X0)
& ! [X7] :
( aInteger0(X7)
<=> aElementOf0(X7,cS1395) )
& ! [X1] :
( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& ! [X6] :
( aElementOf0(X6,X0)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& aInteger0(X2)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( ( ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X2)
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X1)) != sdtasdt0(X2,X5) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
| ~ aInteger0(X3) ) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( aSubsetOf0(X0,cS1395)
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,X0)
=> aElementOf0(X8,cS1395) )
& isOpen0(X0)
& aSet0(X0)
& ! [X7] :
( aInteger0(X7)
<=> aElementOf0(X7,cS1395) )
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& ! [X6] :
( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X6,X0) )
& aInteger0(X2)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X3,X1,X2)
| ? [X5] :
( aInteger0(X5)
& sdtpldt0(X3,smndt0(X1)) = sdtasdt0(X2,X5) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) ) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( aSet0(X0)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) ) ) )
& ( ( ( ? [X4] :
( sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1))
& aInteger0(X4) )
| sdteqdtlpzmzozddtrp0(X3,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,X0) )
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& isOpen0(X0)
& aSubsetOf0(X0,cS1395)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,cS1395) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1750) ).
fof(f908,plain,
( ~ spl19_20
| ~ spl19_32
| ~ spl19_30 ),
inference(avatar_split_clause,[],[f856,f694,f702,f501]) ).
fof(f856,plain,
( ~ aElementOf0(sK1,sK4(sK1))
| ~ aElementOf0(sK4(sK1),xS)
| ~ spl19_30 ),
inference(trivial_inequality_removal,[],[f845]) ).
fof(f845,plain,
( ~ aElementOf0(sK4(sK1),xS)
| ~ aElementOf0(sK1,sK4(sK1))
| sz00 != sz00
| ~ spl19_30 ),
inference(superposition,[],[f274,f696]) ).
fof(f696,plain,
( sz00 = sK12(sK4(sK1),sK1)
| ~ spl19_30 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f274,plain,
! [X0,X1] :
( sz00 != sK12(X0,X1)
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f161]) ).
fof(f806,plain,
spl19_32,
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| spl19_32 ),
inference(resolution,[],[f704,f385]) ).
fof(f385,plain,
aElementOf0(sK1,sK4(sK1)),
inference(resolution,[],[f194,f208]) ).
fof(f208,plain,
aElementOf0(sK1,sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f124]) ).
fof(f194,plain,
! [X6] :
( ~ aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,sK4(X6)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f704,plain,
( ~ aElementOf0(sK1,sK4(sK1))
| spl19_32 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f803,plain,
( ~ spl19_32
| ~ spl19_20
| spl19_29 ),
inference(avatar_split_clause,[],[f802,f690,f501,f702]) ).
fof(f802,plain,
( ~ aElementOf0(sK4(sK1),xS)
| ~ aElementOf0(sK1,sK4(sK1))
| spl19_29 ),
inference(resolution,[],[f692,f283]) ).
fof(f283,plain,
! [X0,X1] :
( aInteger0(sK12(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f161]) ).
fof(f692,plain,
( ~ aInteger0(sK12(sK4(sK1),sK1))
| spl19_29 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f801,plain,
( ~ spl19_32
| ~ spl19_29
| ~ spl19_20
| spl19_30
| spl19_27 ),
inference(avatar_split_clause,[],[f798,f683,f694,f501,f690,f702]) ).
fof(f798,plain,
( sz00 = sK12(sK4(sK1),sK1)
| ~ aElementOf0(sK4(sK1),xS)
| ~ aInteger0(sK12(sK4(sK1),sK1))
| ~ aElementOf0(sK1,sK4(sK1))
| spl19_27 ),
inference(resolution,[],[f685,f556]) ).
fof(f556,plain,
! [X2] :
( aInteger0(sK3(sK12(X2,sK1)))
| ~ aInteger0(sK12(X2,sK1))
| sz00 = sK12(X2,sK1)
| ~ aElementOf0(sK1,X2)
| ~ aElementOf0(X2,xS) ),
inference(resolution,[],[f280,f196]) ).
fof(f280,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK12(X0,X1)))
| aInteger0(X3)
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f685,plain,
( ~ aInteger0(sK3(sK12(sK4(sK1),sK1)))
| spl19_27 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f516,plain,
spl19_20,
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| spl19_20 ),
inference(resolution,[],[f503,f384]) ).
fof(f384,plain,
aElementOf0(sK4(sK1),xS),
inference(resolution,[],[f193,f208]) ).
fof(f193,plain,
! [X6] :
( ~ aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(sK4(X6),xS) ),
inference(cnf_transformation,[],[f124]) ).
fof(f503,plain,
( ~ aElementOf0(sK4(sK1),xS)
| spl19_20 ),
inference(avatar_component_clause,[],[f501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM437+5 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:42:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (7387)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57 % (7396)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 % (7404)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.57 % (7395)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (7403)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.58 % (7388)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.58 % (7396)Instruction limit reached!
% 0.21/0.58 % (7396)------------------------------
% 0.21/0.58 % (7396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (7396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (7396)Termination reason: Unknown
% 0.21/0.58 % (7396)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (7396)Memory used [KB]: 6140
% 0.21/0.58 % (7396)Time elapsed: 0.011 s
% 0.21/0.58 % (7396)Instructions burned: 7 (million)
% 0.21/0.58 % (7396)------------------------------
% 0.21/0.58 % (7396)------------------------------
% 1.59/0.59 % (7395)Instruction limit reached!
% 1.59/0.59 % (7395)------------------------------
% 1.59/0.59 % (7395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (7395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (7395)Termination reason: Unknown
% 1.59/0.59 % (7395)Termination phase: Preprocessing 3
% 1.59/0.59
% 1.59/0.59 % (7395)Memory used [KB]: 1535
% 1.59/0.59 % (7395)Time elapsed: 0.004 s
% 1.59/0.59 % (7395)Instructions burned: 3 (million)
% 1.59/0.59 % (7395)------------------------------
% 1.59/0.59 % (7395)------------------------------
% 1.59/0.60 % (7384)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.60 % (7389)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.59/0.60 % (7386)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.59/0.61 % (7403)First to succeed.
% 1.59/0.61 % (7383)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.00/0.61 % (7383)Instruction limit reached!
% 2.00/0.61 % (7383)------------------------------
% 2.00/0.61 % (7383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.61 % (7383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61 % (7383)Termination reason: Unknown
% 2.00/0.61 % (7383)Termination phase: Preprocessing 3
% 2.00/0.61
% 2.00/0.61 % (7383)Memory used [KB]: 1535
% 2.00/0.61 % (7383)Time elapsed: 0.004 s
% 2.00/0.61 % (7383)Instructions burned: 3 (million)
% 2.00/0.61 % (7383)------------------------------
% 2.00/0.61 % (7383)------------------------------
% 2.00/0.62 % (7385)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.00/0.62 % (7403)Refutation found. Thanks to Tanya!
% 2.00/0.62 % SZS status Theorem for theBenchmark
% 2.00/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.62 % (7403)------------------------------
% 2.00/0.62 % (7403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62 % (7403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62 % (7403)Termination reason: Refutation
% 2.00/0.62
% 2.00/0.62 % (7403)Memory used [KB]: 6524
% 2.00/0.62 % (7403)Time elapsed: 0.170 s
% 2.00/0.62 % (7403)Instructions burned: 19 (million)
% 2.00/0.62 % (7403)------------------------------
% 2.00/0.62 % (7403)------------------------------
% 2.00/0.62 % (7380)Success in time 0.261 s
%------------------------------------------------------------------------------