TSTP Solution File: SET813+4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n007.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 18:22:21 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 68 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 25 ~; 21 |; 13 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f210,plain,
$false,
inference(resolution,[],[f202,f88]) ).
fof(f88,plain,
~ member(sK4,suc(sK4)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ~ member(sK4,suc(sK4))
& member(sK4,on) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f31,f50]) ).
fof(f50,plain,
( ? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) )
=> ( ~ member(sK4,suc(sK4))
& member(sK4,on) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV12) ).
fof(f202,plain,
! [X0] : member(X0,suc(X0)),
inference(resolution,[],[f192,f125]) ).
fof(f125,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = X1
| ~ member(X0,singleton(X1)) )
& ( member(X0,singleton(X1))
| X0 != X1 ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ( X0 = X1
| ~ member(X1,singleton(X0)) )
& ( member(X1,singleton(X0))
| X0 != X1 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( X0 = X1
<=> member(X1,singleton(X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
fof(f192,plain,
! [X2,X3] :
( ~ member(X2,singleton(X3))
| member(X2,suc(X3)) ),
inference(resolution,[],[f110,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X0,X2] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( member(X1,union(X0,X2))
<=> ( member(X1,X0)
| member(X1,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f110,plain,
! [X0,X1] :
( ~ member(X1,union(X0,singleton(X0)))
| member(X1,suc(X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( member(X1,union(X0,singleton(X0)))
| ~ member(X1,suc(X0)) )
& ( member(X1,suc(X0))
| ~ member(X1,union(X0,singleton(X0))) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( member(X1,union(X0,singleton(X0)))
<=> member(X1,suc(X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( member(X2,suc(X0))
<=> member(X2,union(X0,singleton(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:06:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (8881)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (8873)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55 % (8872)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55 % (8872)First to succeed.
% 0.21/0.56 % (8888)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.56 % (8880)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (8889)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.56 % (8872)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (8872)------------------------------
% 0.21/0.56 % (8872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (8872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (8872)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (8872)Memory used [KB]: 6012
% 0.21/0.56 % (8872)Time elapsed: 0.129 s
% 0.21/0.56 % (8872)Instructions burned: 6 (million)
% 0.21/0.56 % (8872)------------------------------
% 0.21/0.56 % (8872)------------------------------
% 0.21/0.56 % (8865)Success in time 0.204 s
%------------------------------------------------------------------------------