TSTP Solution File: SEU080+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU080+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_uns --cores 0 -t %d %s
% Computer : n017.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 18:26:36 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 99 ( 15 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 108 ( 39 ~; 34 |; 24 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(unit_resulting_resolution,[],[f89,f201,f211,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f211,plain,
subset(sK4,sK5),
inference(unit_resulting_resolution,[],[f91,f118,f163]) ).
fof(f163,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK3,X0),relation_inverse_image(sK3,sK4))
| subset(X0,sK5)
| ~ subset(X0,relation_rng(sK3)) ),
inference(subsumption_resolution,[],[f162,f93]) ).
fof(f93,plain,
relation(sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
? [X0,X2,X1] :
( relation(X0)
& subset(X1,relation_rng(X0))
& subset(X2,relation_rng(X0))
& function(X0)
& X1 != X2
& relation_inverse_image(X0,X1) = relation_inverse_image(X0,X2) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
? [X2,X0,X1] :
( X1 != X2
& subset(X2,relation_rng(X0))
& subset(X1,relation_rng(X0))
& relation_inverse_image(X0,X1) = relation_inverse_image(X0,X2)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X2,X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( ( subset(X2,relation_rng(X0))
& subset(X1,relation_rng(X0))
& relation_inverse_image(X0,X1) = relation_inverse_image(X0,X2) )
=> X1 = X2 ) ),
inference(rectify,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2)) )
=> X0 = X1 ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2)) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(f162,plain,
! [X0] :
( ~ subset(X0,relation_rng(sK3))
| subset(X0,sK5)
| ~ relation(sK3)
| ~ subset(relation_inverse_image(sK3,X0),relation_inverse_image(sK3,sK4)) ),
inference(subsumption_resolution,[],[f157,f90]) ).
fof(f90,plain,
function(sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f157,plain,
! [X0] :
( ~ function(sK3)
| ~ subset(X0,relation_rng(sK3))
| subset(X0,sK5)
| ~ subset(relation_inverse_image(sK3,X0),relation_inverse_image(sK3,sK4))
| ~ relation(sK3) ),
inference(superposition,[],[f75,f88]) ).
fof(f88,plain,
relation_inverse_image(sK3,sK5) = relation_inverse_image(sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ subset(relation_inverse_image(X1,X0),relation_inverse_image(X1,X2))
| ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X2,X1,X0] :
( ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_inverse_image(X1,X0),relation_inverse_image(X1,X2))
| subset(X0,X2) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X2,X1] :
( subset(X0,X2)
| ~ subset(relation_inverse_image(X1,X0),relation_inverse_image(X1,X2))
| ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_inverse_image(X1,X0),relation_inverse_image(X1,X2))
& subset(X0,relation_rng(X1)) )
=> subset(X0,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f118,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( X0 != X1
| subset(X1,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
subset(sK4,relation_rng(sK3)),
inference(cnf_transformation,[],[f51]) ).
fof(f201,plain,
subset(sK5,sK4),
inference(unit_resulting_resolution,[],[f118,f161]) ).
fof(f161,plain,
! [X1] :
( ~ subset(relation_inverse_image(sK3,sK4),relation_inverse_image(sK3,X1))
| subset(sK5,X1) ),
inference(subsumption_resolution,[],[f160,f92]) ).
fof(f92,plain,
subset(sK5,relation_rng(sK3)),
inference(cnf_transformation,[],[f51]) ).
fof(f160,plain,
! [X1] :
( ~ subset(relation_inverse_image(sK3,sK4),relation_inverse_image(sK3,X1))
| ~ subset(sK5,relation_rng(sK3))
| subset(sK5,X1) ),
inference(subsumption_resolution,[],[f159,f90]) ).
fof(f159,plain,
! [X1] :
( subset(sK5,X1)
| ~ subset(relation_inverse_image(sK3,sK4),relation_inverse_image(sK3,X1))
| ~ function(sK3)
| ~ subset(sK5,relation_rng(sK3)) ),
inference(subsumption_resolution,[],[f158,f93]) ).
fof(f158,plain,
! [X1] :
( ~ relation(sK3)
| ~ subset(sK5,relation_rng(sK3))
| ~ subset(relation_inverse_image(sK3,sK4),relation_inverse_image(sK3,X1))
| subset(sK5,X1)
| ~ function(sK3) ),
inference(superposition,[],[f75,f88]) ).
fof(f89,plain,
sK5 != sK4,
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:01:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % (6563)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.56 % (6561)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)
% 0.21/0.56 % (6562)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)
% 0.21/0.56 % (6579)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (6577)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 % (6578)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)
% 0.21/0.57 % (6571)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57 % (6569)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)
% 0.21/0.57 % (6570)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)
% 0.21/0.57 % (6563)First to succeed.
% 0.21/0.57 % (6563)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (6563)------------------------------
% 0.21/0.57 % (6563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6563)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (6563)Memory used [KB]: 6012
% 0.21/0.57 % (6563)Time elapsed: 0.122 s
% 0.21/0.57 % (6563)Instructions burned: 5 (million)
% 0.21/0.57 % (6563)------------------------------
% 0.21/0.57 % (6563)------------------------------
% 0.21/0.57 % (6554)Success in time 0.215 s
%------------------------------------------------------------------------------