TSTP Solution File: NUM539+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM539+2 : 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 : n003.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 18:00:26 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 16 unt; 0 def)
% Number of atoms : 259 ( 41 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 300 ( 91 ~; 73 |; 106 &)
% ( 3 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 90 ( 71 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(subsumption_resolution,[],[f305,f204]) ).
fof(f204,plain,
sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(unit_resulting_resolution,[],[f140,f137,f154,f171]) ).
fof(f171,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(X0),X2)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| ~ aElementOf0(X2,X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK1(X0,X1))
& aElementOf0(sK1(X0,X1),X0) ) ) )
| slcrc0 = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(X1,X3)
& aElementOf0(X3,X0) )
=> ( ~ sdtlseqdt0(X1,sK1(X0,X1))
& aElementOf0(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| ? [X3] :
( ~ sdtlseqdt0(X1,X3)
& aElementOf0(X3,X0) ) ) )
| slcrc0 = X0 ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) ) )
| slcrc0 = X0 ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) ) )
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
<=> szmzizndt0(X0) = X1 )
| slcrc0 = X0 ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
<=> szmzizndt0(X0) = X1 )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) )
<=> szmzizndt0(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f154,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xS)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& ! [X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xS) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
( aElementOf0(szmzizndt0(xT),xS)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xS),xS)
& aElementOf0(szmzizndt0(xT),xT) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
( aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xT),X0) )
& aElementOf0(szmzizndt0(xS),xS)
& aElementOf0(szmzizndt0(xT),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).
fof(f137,plain,
slcrc0 != xS,
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( aSubsetOf0(xT,szNzAzT0)
& slcrc0 != xT
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xT)
& aElementOf0(sK2,xT)
& aElementOf0(sK3,xS)
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,xT) )
& slcrc0 != xS ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f98,f100,f99]) ).
fof(f99,plain,
( ? [X1] : aElementOf0(X1,xT)
=> aElementOf0(sK2,xT) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X2] : aElementOf0(X2,xS)
=> aElementOf0(sK3,xS) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( aSubsetOf0(xT,szNzAzT0)
& slcrc0 != xT
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xT)
& ? [X1] : aElementOf0(X1,xT)
& ? [X2] : aElementOf0(X2,xS)
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,xT) )
& slcrc0 != xS ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
( aSubsetOf0(xT,szNzAzT0)
& slcrc0 != xT
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,xS) )
& aSet0(xT)
& ? [X1] : aElementOf0(X1,xT)
& ? [X3] : aElementOf0(X3,xS)
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xT) )
& slcrc0 != xS ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
( ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xT,szNzAzT0)
& slcrc0 != xT
& ? [X1] : aElementOf0(X1,xT)
& slcrc0 != xS
& ? [X3] : aElementOf0(X3,xS)
& aSet0(xS)
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xT) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& ~ ( slcrc0 = xT
| ~ ? [X1] : aElementOf0(X1,xT) )
& ~ ( slcrc0 = xS
| ~ ? [X3] : aElementOf0(X3,xS) )
& aSet0(xS)
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
( ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,szNzAzT0) )
& ~ ( ~ ? [X0] : aElementOf0(X0,xT)
| slcrc0 = xT )
& aSet0(xT)
& aSubsetOf0(xT,szNzAzT0)
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& ~ ( ~ ? [X0] : aElementOf0(X0,xS)
| slcrc0 = xS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).
fof(f140,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f305,plain,
~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(unit_resulting_resolution,[],[f199,f211,f213,f123,f212,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X0,X2) )
=> sdtlseqdt0(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X2,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f212,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(unit_resulting_resolution,[],[f159,f138]) ).
fof(f138,plain,
! [X3] :
( ~ aElementOf0(X3,xT)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f159,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(cnf_transformation,[],[f77]) ).
fof(f123,plain,
~ sdtlseqdt0(szmzizndt0(xS),sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& szmzizndt0(xS) != szmzizndt0(xT)
& ~ sdtlseqdt0(szmzizndt0(xS),sK0)
& aElementOf0(sK0,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f79,f89]) ).
fof(f89,plain,
( ? [X1] :
( ~ sdtlseqdt0(szmzizndt0(xS),X1)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(szmzizndt0(xS),sK0)
& aElementOf0(sK0,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& szmzizndt0(xS) != szmzizndt0(xT)
& ? [X1] :
( ~ sdtlseqdt0(szmzizndt0(xS),X1)
& aElementOf0(X1,xT) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
( ? [X1] :
( ~ sdtlseqdt0(szmzizndt0(xS),X1)
& aElementOf0(X1,xT) )
& szmzizndt0(xS) != szmzizndt0(xT)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
inference(rectify,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f213,plain,
aElementOf0(sK0,szNzAzT0),
inference(unit_resulting_resolution,[],[f122,f138]) ).
fof(f122,plain,
aElementOf0(sK0,xT),
inference(cnf_transformation,[],[f90]) ).
fof(f211,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(unit_resulting_resolution,[],[f158,f138]) ).
fof(f158,plain,
aElementOf0(szmzizndt0(xT),xT),
inference(cnf_transformation,[],[f77]) ).
fof(f199,plain,
sdtlseqdt0(szmzizndt0(xT),sK0),
inference(unit_resulting_resolution,[],[f122,f145,f146,f171]) ).
fof(f146,plain,
aSubsetOf0(xT,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f145,plain,
slcrc0 != xT,
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:56:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (21511)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (21503)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)
% 0.19/0.48 % (21511)Instruction limit reached!
% 0.19/0.48 % (21511)------------------------------
% 0.19/0.48 % (21511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (21511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (21511)Termination reason: Unknown
% 0.19/0.49 % (21511)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (21511)Memory used [KB]: 6140
% 0.19/0.49 % (21511)Time elapsed: 0.008 s
% 0.19/0.49 % (21511)Instructions burned: 7 (million)
% 0.19/0.49 % (21511)------------------------------
% 0.19/0.49 % (21511)------------------------------
% 0.19/0.51 % (21526)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (21518)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (21503)First to succeed.
% 0.19/0.52 % (21503)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (21503)------------------------------
% 0.19/0.52 % (21503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21503)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (21503)Memory used [KB]: 6140
% 0.19/0.52 % (21503)Time elapsed: 0.117 s
% 0.19/0.52 % (21503)Instructions burned: 14 (million)
% 0.19/0.52 % (21503)------------------------------
% 0.19/0.52 % (21503)------------------------------
% 0.19/0.52 % (21499)Success in time 0.169 s
%------------------------------------------------------------------------------