TSTP Solution File: SEU165+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU165+3 : 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 : n015.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 18:27:02 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 106 ( 39 ~; 36 |; 24 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 44 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f43,f37]) ).
fof(f37,plain,
~ in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0)),
inference(subsumption_resolution,[],[f36,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
& ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X3,X1,X2,X0] :
( ( ( in(X3,X2)
& in(X1,X0) )
| ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) )
& ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
| ~ in(X3,X2)
| ~ in(X1,X0) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X3,X1,X2,X0] :
( ( ( in(X3,X2)
& in(X1,X0) )
| ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) )
& ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
| ~ in(X3,X2)
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X3,X1,X2,X0] :
( ( in(X3,X2)
& in(X1,X0) )
<=> in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X2,X0] :
( ( in(X1,X3)
& in(X0,X2) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f36,plain,
( ~ in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0))
| ~ in(sK3,sK1) ),
inference(subsumption_resolution,[],[f30,f35]) ).
fof(f35,plain,
in(sK2,sK0),
inference(subsumption_resolution,[],[f28,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
( in(sK2,sK0)
| in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( ~ in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0))
| ~ in(sK3,sK1)
| ~ in(sK2,sK0) )
& ( in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0))
| ( in(sK3,sK1)
& in(sK2,sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f21]) ).
fof(f21,plain,
( ? [X0,X1,X2,X3] :
( ( ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ~ in(X3,X1)
| ~ in(X2,X0) )
& ( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ( in(X3,X1)
& in(X2,X0) ) ) )
=> ( ( ~ in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0))
| ~ in(sK3,sK1)
| ~ in(sK2,sK0) )
& ( in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0))
| ( in(sK3,sK1)
& in(sK2,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ~ in(X3,X1)
| ~ in(X2,X0) )
& ( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ( in(X3,X1)
& in(X2,X0) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X2,X3,X1,X0] :
( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X3,X2))
| ~ in(X0,X3)
| ~ in(X1,X2) )
& ( in(ordered_pair(X0,X1),cartesian_product2(X3,X2))
| ( in(X0,X3)
& in(X1,X2) ) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X2,X3,X1,X0] :
( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X3,X2))
| ~ in(X0,X3)
| ~ in(X1,X2) )
& ( in(ordered_pair(X0,X1),cartesian_product2(X3,X2))
| ( in(X0,X3)
& in(X1,X2) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
? [X2,X3,X1,X0] :
( ( in(X0,X3)
& in(X1,X2) )
<~> in(ordered_pair(X0,X1),cartesian_product2(X3,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X2,X3,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X3,X2))
<=> ( in(X0,X3)
& in(X1,X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X3,X2] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X3,X2] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f30,plain,
( ~ in(sK2,sK0)
| ~ in(sK3,sK1)
| ~ in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0)),
inference(unit_resulting_resolution,[],[f35,f38,f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
in(sK3,sK1),
inference(subsumption_resolution,[],[f29,f37]) ).
fof(f29,plain,
( in(sK3,sK1)
| in(ordered_pair(sK3,sK2),cartesian_product2(sK1,sK0)) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n015.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 : Tue Aug 30 14:56:21 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.52 % (31125)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (31125)First to succeed.
% 0.22/0.52 % (31131)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.22/0.52 % (31127)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.53 % (31128)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)
% 0.22/0.53 % (31127)Refutation not found, incomplete strategy% (31127)------------------------------
% 0.22/0.53 % (31127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (31127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (31127)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (31127)Memory used [KB]: 1407
% 0.22/0.53 % (31127)Time elapsed: 0.108 s
% 0.22/0.53 % (31127)Instructions burned: 2 (million)
% 0.22/0.53 % (31127)------------------------------
% 0.22/0.53 % (31127)------------------------------
% 0.22/0.53 % (31125)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (31125)------------------------------
% 0.22/0.53 % (31125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (31125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (31125)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (31125)Memory used [KB]: 5884
% 0.22/0.53 % (31125)Time elapsed: 0.095 s
% 0.22/0.53 % (31125)Instructions burned: 2 (million)
% 0.22/0.53 % (31125)------------------------------
% 0.22/0.53 % (31125)------------------------------
% 0.22/0.53 % (31121)Success in time 0.16 s
%------------------------------------------------------------------------------