TSTP Solution File: NUM606+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM606+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 : n013.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 : Sun May 5 08:39:43 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 125 ( 1 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 155 ( 76 ~; 54 |; 20 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1229,plain,
$false,
inference(resolution,[],[f1228,f410]) ).
fof(f410,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1228,plain,
~ aSet0(szNzAzT0),
inference(resolution,[],[f1227,f354]) ).
fof(f354,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f1227,plain,
( ~ aSet0(xO)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1216,f613]) ).
fof(f613,plain,
( aSet0(xQ)
| ~ aSet0(xO) ),
inference(resolution,[],[f426,f379]) ).
fof(f379,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f426,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(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,[sK18])],[f267,f268]) ).
fof(f268,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f267,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,[],[f266]) ).
fof(f266,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,[],[f265]) ).
fof(f265,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,[],[f153]) ).
fof(f153,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/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1216,plain,
( ~ aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1214,f347]) ).
fof(f347,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(flattening,[],[f102]) ).
fof(f102,negated_conjecture,
~ aSubsetOf0(xQ,szNzAzT0),
inference(negated_conjecture,[],[f101]) ).
fof(f101,conjecture,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1214,plain,
( aSubsetOf0(xQ,szNzAzT0)
| ~ aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1212,f428]) ).
fof(f428,plain,
! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f1212,plain,
~ aElementOf0(sK18(szNzAzT0,xQ),xQ),
inference(resolution,[],[f1208,f354]) ).
fof(f1208,plain,
( ~ aSet0(xO)
| ~ aElementOf0(sK18(szNzAzT0,xQ),xQ) ),
inference(resolution,[],[f1204,f379]) ).
fof(f1204,plain,
! [X0] :
( ~ aSubsetOf0(X0,xO)
| ~ aElementOf0(sK18(szNzAzT0,xQ),X0)
| ~ aSet0(xO) ),
inference(resolution,[],[f1203,f427]) ).
fof(f427,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f1203,plain,
~ aElementOf0(sK18(szNzAzT0,xQ),xO),
inference(resolution,[],[f1202,f410]) ).
fof(f1202,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK18(szNzAzT0,xQ),xO) ),
inference(resolution,[],[f1198,f611]) ).
fof(f611,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f426,f381]) ).
fof(f381,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f1198,plain,
( ~ aSet0(xS)
| ~ aElementOf0(sK18(szNzAzT0,xQ),xO) ),
inference(resolution,[],[f1193,f350]) ).
fof(f350,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f1193,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(sK18(szNzAzT0,xQ),X0)
| ~ aSet0(xS) ),
inference(resolution,[],[f1192,f427]) ).
fof(f1192,plain,
~ aElementOf0(sK18(szNzAzT0,xQ),xS),
inference(resolution,[],[f1187,f410]) ).
fof(f1187,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK18(szNzAzT0,xQ),xS) ),
inference(resolution,[],[f1172,f381]) ).
fof(f1172,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK18(szNzAzT0,xQ),X0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1170,f427]) ).
fof(f1170,plain,
~ aElementOf0(sK18(szNzAzT0,xQ),szNzAzT0),
inference(resolution,[],[f1169,f410]) ).
fof(f1169,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK18(szNzAzT0,xQ),szNzAzT0) ),
inference(resolution,[],[f1168,f354]) ).
fof(f1168,plain,
( ~ aSet0(xO)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK18(szNzAzT0,xQ),szNzAzT0) ),
inference(resolution,[],[f1147,f613]) ).
fof(f1147,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sK18(szNzAzT0,xQ),szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f429,f347]) ).
fof(f429,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK18(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.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 : Fri May 3 14:31:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (15553)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (15557)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (15558)WARNING: value z3 for option sas not known
% 0.21/0.38 % (15556)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (15558)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)
% 0.21/0.38 % (15562)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)
% 0.21/0.38 % (15561)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)
% 0.21/0.38 % (15563)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)
% 0.21/0.38 % (15560)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 % (15562)First to succeed.
% 0.21/0.42 % (15562)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15553"
% 0.21/0.42 TRYING [3]
% 0.21/0.42 % (15562)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (15562)------------------------------
% 0.21/0.42 % (15562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (15562)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (15562)Memory used [KB]: 1658
% 0.21/0.42 % (15562)Time elapsed: 0.041 s
% 0.21/0.42 % (15562)Instructions burned: 61 (million)
% 0.21/0.42 % (15553)Success in time 0.062 s
%------------------------------------------------------------------------------