TSTP Solution File: SEU047+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU047+1 : 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_sat --cores 0 -t %d %s
% Computer : n001.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 18:31:49 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 92 ( 38 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 35 ~; 24 |; 24 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(subsumption_resolution,[],[f224,f194]) ).
fof(f194,plain,
relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) = relation_rng_restriction(sK7,sK6),
inference(resolution,[],[f188,f138]) ).
fof(f138,plain,
subset(sK7,sK8),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( function(sK6)
& subset(sK7,sK8)
& ( relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) != relation_rng_restriction(sK7,sK6)
| relation_rng_restriction(sK8,relation_rng_restriction(sK7,sK6)) != relation_rng_restriction(sK7,sK6) )
& relation(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f91,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2] :
( function(X0)
& subset(X1,X2)
& ( relation_rng_restriction(X1,relation_rng_restriction(X2,X0)) != relation_rng_restriction(X1,X0)
| relation_rng_restriction(X1,X0) != relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) )
& relation(X0) )
=> ( function(sK6)
& subset(sK7,sK8)
& ( relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) != relation_rng_restriction(sK7,sK6)
| relation_rng_restriction(sK8,relation_rng_restriction(sK7,sK6)) != relation_rng_restriction(sK7,sK6) )
& relation(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0,X1,X2] :
( function(X0)
& subset(X1,X2)
& ( relation_rng_restriction(X1,relation_rng_restriction(X2,X0)) != relation_rng_restriction(X1,X0)
| relation_rng_restriction(X1,X0) != relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) )
& relation(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
? [X2,X1,X0] :
( function(X2)
& subset(X1,X0)
& ( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) != relation_rng_restriction(X1,X2)
| relation_rng_restriction(X1,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) )
& relation(X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X2,X0,X1] :
( ( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) != relation_rng_restriction(X1,X2)
| relation_rng_restriction(X1,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) )
& subset(X1,X0)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X2,X0,X1] :
( ( function(X2)
& relation(X2) )
=> ( subset(X1,X0)
=> ( relation_rng_restriction(X1,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X1,X2) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X1,X0,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X1,X0,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_funct_1) ).
fof(f188,plain,
! [X16,X15] :
( ~ subset(X15,X16)
| relation_rng_restriction(X15,relation_rng_restriction(X16,sK6)) = relation_rng_restriction(X15,sK6) ),
inference(resolution,[],[f134,f136]) ).
fof(f136,plain,
relation(sK6),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ subset(X2,X1)
| relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X2,X0)
| ~ subset(X2,X1)
| ~ relation(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X2,X1] :
( relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X2,X0)
| ~ subset(X2,X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( relation(X0)
=> ( subset(X2,X1)
=> relation_rng_restriction(X2,relation_rng_restriction(X1,X0)) = relation_rng_restriction(X2,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X2,X1,X0] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t130_relat_1) ).
fof(f224,plain,
relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) != relation_rng_restriction(sK7,sK6),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f221,plain,
( relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) != relation_rng_restriction(sK7,sK6)
| relation_rng_restriction(sK7,sK6) != relation_rng_restriction(sK7,sK6) ),
inference(superposition,[],[f137,f212]) ).
fof(f212,plain,
relation_rng_restriction(sK8,relation_rng_restriction(sK7,sK6)) = relation_rng_restriction(sK7,sK6),
inference(resolution,[],[f206,f138]) ).
fof(f206,plain,
! [X16,X15] :
( ~ subset(X15,X16)
| relation_rng_restriction(X16,relation_rng_restriction(X15,sK6)) = relation_rng_restriction(X15,sK6) ),
inference(resolution,[],[f143,f136]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| relation_rng_restriction(X1,X0) = relation_rng_restriction(X2,relation_rng_restriction(X1,X0))
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| relation_rng_restriction(X1,X0) = relation_rng_restriction(X2,relation_rng_restriction(X1,X0))
| ~ subset(X1,X2) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X2,X1,X0] :
( ~ relation(X2)
| relation_rng_restriction(X1,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X1,X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X2,X1,X0] :
( relation_rng_restriction(X1,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X1,X0)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X0] :
( relation(X2)
=> ( subset(X1,X0)
=> relation_rng_restriction(X1,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_relat_1) ).
fof(f137,plain,
( relation_rng_restriction(sK8,relation_rng_restriction(sK7,sK6)) != relation_rng_restriction(sK7,sK6)
| relation_rng_restriction(sK7,relation_rng_restriction(sK8,sK6)) != relation_rng_restriction(sK7,sK6) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:03:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (26351)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (26373)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (26351)First to succeed.
% 0.19/0.50 % (26360)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (26351)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (26351)------------------------------
% 0.19/0.51 % (26351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26351)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (26351)Memory used [KB]: 1023
% 0.19/0.51 % (26351)Time elapsed: 0.105 s
% 0.19/0.51 % (26351)Instructions burned: 5 (million)
% 0.19/0.51 % (26351)------------------------------
% 0.19/0.51 % (26351)------------------------------
% 0.19/0.51 % (26345)Success in time 0.156 s
%------------------------------------------------------------------------------