TSTP Solution File: SEU140+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 09:27:20 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 120 ( 48 ~; 27 |; 36 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 56 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1317,plain,
$false,
inference(resolution,[],[f1315,f259]) ).
fof(f259,plain,
~ disjoint(sK5,sK3),
inference(resolution,[],[f191,f146]) ).
fof(f146,plain,
~ disjoint(sK3,sK5),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ~ disjoint(sK3,sK5)
& disjoint(sK4,sK5)
& subset(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f66,f100]) ).
fof(f100,plain,
( ? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) )
=> ( ~ disjoint(sK3,sK5)
& disjoint(sK4,sK5)
& subset(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,negated_conjecture,
~ ! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f191,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f1315,plain,
disjoint(sK5,sK3),
inference(resolution,[],[f1313,f158]) ).
fof(f158,plain,
! [X0,X1] :
( in(sK7(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ( in(sK7(X0,X1),X1)
& in(sK7(X0,X1),X0) )
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f69,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
=> ( in(sK7(X0,X1),X1)
& in(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X3] :
~ ( in(X3,X1)
& in(X3,X0) )
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) )
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f1313,plain,
~ in(sK7(sK5,sK3),sK3),
inference(resolution,[],[f1293,f144]) ).
fof(f144,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f101]) ).
fof(f1293,plain,
! [X0] :
( ~ subset(X0,sK4)
| ~ in(sK7(sK5,sK3),X0) ),
inference(resolution,[],[f200,f1072]) ).
fof(f1072,plain,
~ in(sK7(sK5,sK3),sK4),
inference(resolution,[],[f1069,f259]) ).
fof(f1069,plain,
! [X0] :
( disjoint(sK5,X0)
| ~ in(sK7(sK5,X0),sK4) ),
inference(resolution,[],[f1064,f157]) ).
fof(f157,plain,
! [X0,X1] :
( in(sK7(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f1064,plain,
! [X0] :
( ~ in(X0,sK5)
| ~ in(X0,sK4) ),
inference(resolution,[],[f159,f145]) ).
fof(f145,plain,
disjoint(sK4,sK5),
inference(cnf_transformation,[],[f101]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f200,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:40:16 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16581)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16584)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16582)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16585)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16583)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16584)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)
% 0.15/0.38 % (16586)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)
% 0.15/0.38 % (16587)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)
% 0.15/0.38 % (16588)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 % (16587)First to succeed.
% 0.22/0.41 % (16587)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16581"
% 0.22/0.41 % (16587)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (16587)------------------------------
% 0.22/0.42 % (16587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.42 % (16587)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (16587)Memory used [KB]: 1277
% 0.22/0.42 % (16587)Time elapsed: 0.035 s
% 0.22/0.42 % (16587)Instructions burned: 52 (million)
% 0.22/0.42 % (16581)Success in time 0.052 s
%------------------------------------------------------------------------------