TSTP Solution File: NUM610+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:35:05 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 109 ( 2 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 135 ( 64 ~; 47 |; 19 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1297,plain,
$false,
inference(resolution,[],[f1296,f390]) ).
fof(f390,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(f1296,plain,
~ aSet0(xO),
inference(resolution,[],[f1285,f386]) ).
fof(f386,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f1285,plain,
( ~ aSet0(xP)
| ~ aSet0(xO) ),
inference(resolution,[],[f1283,f354]) ).
fof(f354,plain,
~ aSubsetOf0(xP,xO),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
~ aSubsetOf0(xP,xO),
inference(flattening,[],[f109]) ).
fof(f109,negated_conjecture,
~ aSubsetOf0(xP,xO),
inference(negated_conjecture,[],[f108]) ).
fof(f108,conjecture,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1283,plain,
( aSubsetOf0(xP,xO)
| ~ aSet0(xP)
| ~ aSet0(xO) ),
inference(resolution,[],[f1282,f470]) ).
fof(f470,plain,
! [X0,X1] :
( aElementOf0(sK24(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f292,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f1282,plain,
~ aElementOf0(sK24(xO,xP),xP),
inference(resolution,[],[f1279,f390]) ).
fof(f1279,plain,
( ~ aSet0(xO)
| ~ aElementOf0(sK24(xO,xP),xP) ),
inference(resolution,[],[f1275,f630]) ).
fof(f630,plain,
( aSet0(xQ)
| ~ aSet0(xO) ),
inference(resolution,[],[f468,f396]) ).
fof(f396,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f468,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f1275,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sK24(xO,xP),xP) ),
inference(resolution,[],[f1271,f357]) ).
fof(f357,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
fof(f1271,plain,
! [X0] :
( ~ aSubsetOf0(X0,xQ)
| ~ aElementOf0(sK24(xO,xP),X0)
| ~ aSet0(xQ) ),
inference(resolution,[],[f1270,f469]) ).
fof(f469,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f1270,plain,
~ aElementOf0(sK24(xO,xP),xQ),
inference(resolution,[],[f1266,f390]) ).
fof(f1266,plain,
( ~ aSet0(xO)
| ~ aElementOf0(sK24(xO,xP),xQ) ),
inference(resolution,[],[f1262,f396]) ).
fof(f1262,plain,
! [X0] :
( ~ aSubsetOf0(X0,xO)
| ~ aElementOf0(sK24(xO,xP),X0)
| ~ aSet0(xO) ),
inference(resolution,[],[f1261,f469]) ).
fof(f1261,plain,
~ aElementOf0(sK24(xO,xP),xO),
inference(resolution,[],[f1260,f390]) ).
fof(f1260,plain,
( ~ aSet0(xO)
| ~ aElementOf0(sK24(xO,xP),xO) ),
inference(resolution,[],[f1236,f386]) ).
fof(f1236,plain,
( ~ aSet0(xP)
| ~ aElementOf0(sK24(xO,xP),xO)
| ~ aSet0(xO) ),
inference(resolution,[],[f471,f354]) ).
fof(f471,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK24(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:34:41 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (9137)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (9143)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (9140)WARNING: value z3 for option sas not known
% 0.16/0.33 % (9139)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (9141)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (9144)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (9142)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (9140)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (9138)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.35 TRYING [1]
% 0.16/0.35 TRYING [1]
% 0.16/0.36 TRYING [2]
% 0.16/0.36 TRYING [2]
% 0.16/0.36 % (9143)First to succeed.
% 0.16/0.37 % (9143)Refutation found. Thanks to Tanya!
% 0.16/0.37 % SZS status Theorem for theBenchmark
% 0.16/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37 % (9143)------------------------------
% 0.16/0.37 % (9143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.37 % (9143)Termination reason: Refutation
% 0.16/0.37
% 0.16/0.37 % (9143)Memory used [KB]: 1743
% 0.16/0.37 % (9143)Time elapsed: 0.036 s
% 0.16/0.37 % (9143)Instructions burned: 62 (million)
% 0.16/0.37 % (9143)------------------------------
% 0.16/0.37 % (9143)------------------------------
% 0.16/0.37 % (9137)Success in time 0.052 s
%------------------------------------------------------------------------------