TSTP Solution File: SEU123+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n008.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 18:26:45 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 89 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 38 ~; 28 |; 17 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 56 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(unit_resulting_resolution,[],[f116,f129,f331,f94]) ).
fof(f94,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK4(X0,X1),X0)
& ~ in(sK4(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f59,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK4(X0,X1),X0)
& ~ in(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f331,plain,
! [X0] : subset(sK7,X0),
inference(unit_resulting_resolution,[],[f107,f102,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( subset(X2,X1)
| ~ subset(X0,X1)
| ~ subset(X2,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1] :
( subset(X2,X1)
| ~ subset(X0,X1)
| ~ subset(X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ( subset(X0,X1)
& subset(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f102,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f107,plain,
subset(sK7,empty_set),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( subset(sK7,empty_set)
& empty_set != sK7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f72]) ).
fof(f72,plain,
( ? [X0] :
( subset(X0,empty_set)
& empty_set != X0 )
=> ( subset(sK7,empty_set)
& empty_set != sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( subset(X0,empty_set)
& empty_set != X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f129,plain,
in(sK5(sK7),sK7),
inference(unit_resulting_resolution,[],[f106,f101]) ).
fof(f101,plain,
! [X0] :
( in(sK5(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( empty_set = X0
| in(sK5(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f66,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f106,plain,
empty_set != sK7,
inference(cnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:43:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.48 % (18770)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (18770)First to succeed.
% 0.18/0.49 % (18786)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.49 % (18778)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (18770)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (18770)------------------------------
% 0.18/0.50 % (18770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (18770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (18770)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (18770)Memory used [KB]: 6012
% 0.18/0.50 % (18770)Time elapsed: 0.094 s
% 0.18/0.50 % (18770)Instructions burned: 9 (million)
% 0.18/0.50 % (18770)------------------------------
% 0.18/0.50 % (18770)------------------------------
% 0.18/0.50 % (18756)Success in time 0.156 s
%------------------------------------------------------------------------------