TSTP Solution File: SEU056+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU056+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 : n026.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 18:26:29 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 93 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 91 ( 30 ~; 18 |; 32 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 37 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(subsumption_resolution,[],[f111,f93]) ).
fof(f93,plain,
empty_set = relation_image(sK3,empty_set),
inference(unit_resulting_resolution,[],[f83,f72]) ).
fof(f72,plain,
! [X0] :
( ~ relation(X0)
| empty_set = relation_image(X0,empty_set) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ relation(X0)
| empty_set = relation_image(X0,empty_set) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> empty_set = relation_image(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t149_relat_1) ).
fof(f83,plain,
relation(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( disjoint(sK5,sK4)
& one_to_one(sK3)
& relation(sK3)
& function(sK3)
& ~ disjoint(relation_image(sK3,sK5),relation_image(sK3,sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f59,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( disjoint(X2,X1)
& one_to_one(X0)
& relation(X0)
& function(X0)
& ~ disjoint(relation_image(X0,X2),relation_image(X0,X1)) )
=> ( disjoint(sK5,sK4)
& one_to_one(sK3)
& relation(sK3)
& function(sK3)
& ~ disjoint(relation_image(sK3,sK5),relation_image(sK3,sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( disjoint(X2,X1)
& one_to_one(X0)
& relation(X0)
& function(X0)
& ~ disjoint(relation_image(X0,X2),relation_image(X0,X1)) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X0,X2,X1] :
( disjoint(X1,X2)
& one_to_one(X0)
& relation(X0)
& function(X0)
& ~ disjoint(relation_image(X0,X1),relation_image(X0,X2)) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X2] :
( ~ disjoint(relation_image(X0,X1),relation_image(X0,X2))
& disjoint(X1,X2)
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0,X2] :
( ( function(X0)
& relation(X0) )
=> ( ( disjoint(X1,X2)
& one_to_one(X0) )
=> disjoint(relation_image(X0,X1),relation_image(X0,X2)) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t125_funct_1) ).
fof(f111,plain,
empty_set != relation_image(sK3,empty_set),
inference(forward_demodulation,[],[f109,f95]) ).
fof(f95,plain,
empty_set = set_intersection2(sK5,sK4),
inference(unit_resulting_resolution,[],[f85,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) )
& ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f85,plain,
disjoint(sK5,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f109,plain,
empty_set != relation_image(sK3,set_intersection2(sK5,sK4)),
inference(superposition,[],[f97,f94]) ).
fof(f94,plain,
! [X0,X1] : set_intersection2(relation_image(sK3,X0),relation_image(sK3,X1)) = relation_image(sK3,set_intersection2(X0,X1)),
inference(unit_resulting_resolution,[],[f83,f82,f84,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t121_funct_1) ).
fof(f84,plain,
one_to_one(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f82,plain,
function(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f97,plain,
empty_set != set_intersection2(relation_image(sK3,sK5),relation_image(sK3,sK4)),
inference(unit_resulting_resolution,[],[f81,f68]) ).
fof(f68,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
~ disjoint(relation_image(sK3,sK5),relation_image(sK3,sK4)),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.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 14:50:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (1984)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)
% 0.20/0.47 % (1992)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.47 % (1992)Instruction limit reached!
% 0.20/0.47 % (1992)------------------------------
% 0.20/0.47 % (1992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (1988)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)
% 0.20/0.48 % (1984)First to succeed.
% 0.20/0.48 % (1984)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (1984)------------------------------
% 0.20/0.48 % (1984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (1984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (1984)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (1984)Memory used [KB]: 6012
% 0.20/0.48 % (1984)Time elapsed: 0.093 s
% 0.20/0.48 % (1984)Instructions burned: 2 (million)
% 0.20/0.48 % (1984)------------------------------
% 0.20/0.48 % (1984)------------------------------
% 0.20/0.48 % (1979)Success in time 0.137 s
%------------------------------------------------------------------------------