TSTP Solution File: SEU263+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n002.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 18:28:05 EDT 2022
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 17 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 50 ~; 37 |; 24 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 148 ( 132 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(subsumption_resolution,[],[f282,f165]) ).
fof(f165,plain,
subset(sK1,cartesian_product2(relation_dom(sK1),relation_rng(sK1))),
inference(unit_resulting_resolution,[],[f141,f77]) ).
fof(f77,plain,
! [X0] :
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f141,plain,
relation(sK1),
inference(unit_resulting_resolution,[],[f85,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f85,plain,
element(sK1,powerset(cartesian_product2(sK3,sK4))),
inference(resolution,[],[f66,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( element(X2,powerset(cartesian_product2(X1,X0)))
| ~ relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X1,X0)
=> element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f66,plain,
relation_of2_as_subset(sK1,sK3,sK4),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ relation_of2_as_subset(sK1,sK3,sK2)
& subset(relation_rng(sK1),sK2)
& relation_of2_as_subset(sK1,sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X0,X2,X1)
& subset(relation_rng(X0),X1)
& relation_of2_as_subset(X0,X2,X3) )
=> ( ~ relation_of2_as_subset(sK1,sK3,sK2)
& subset(relation_rng(sK1),sK2)
& relation_of2_as_subset(sK1,sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X0,X2,X1)
& subset(relation_rng(X0),X1)
& relation_of2_as_subset(X0,X2,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X0,X3,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X3)
& subset(relation_rng(X0),X3)
& relation_of2_as_subset(X0,X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X1,X0,X2,X3] :
( ~ relation_of2_as_subset(X0,X1,X3)
& subset(relation_rng(X0),X3)
& relation_of2_as_subset(X0,X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X1,X0,X2,X3] :
( relation_of2_as_subset(X0,X1,X2)
=> ( subset(relation_rng(X0),X3)
=> relation_of2_as_subset(X0,X1,X3) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X2,X0,X1] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X2,X0,X1] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f282,plain,
~ subset(sK1,cartesian_product2(relation_dom(sK1),relation_rng(sK1))),
inference(unit_resulting_resolution,[],[f250,f103,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ subset(X1,X2) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ subset(X2,X1)
| subset(X2,X0)
| ~ subset(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( subset(X2,X0)
| ~ subset(X1,X0)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( ( subset(X1,X0)
& subset(X2,X1) )
=> subset(X2,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X1,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f103,plain,
! [X0] : subset(cartesian_product2(relation_dom(sK1),X0),cartesian_product2(sK3,X0)),
inference(unit_resulting_resolution,[],[f73,f79,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X3,X1),cartesian_product2(X2,X0))
| ~ subset(X1,X0)
| ~ subset(X3,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ subset(X1,X0)
| subset(cartesian_product2(X3,X1),cartesian_product2(X2,X0))
| ~ subset(X3,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X3,X0,X1,X2] :
( ~ subset(X0,X3)
| subset(cartesian_product2(X2,X0),cartesian_product2(X1,X3))
| ~ subset(X2,X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X3,X2,X0,X1] :
( subset(cartesian_product2(X2,X0),cartesian_product2(X1,X3))
| ~ subset(X2,X1)
| ~ subset(X0,X3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X3,X2,X0,X1] :
( ( subset(X2,X1)
& subset(X0,X3) )
=> subset(cartesian_product2(X2,X0),cartesian_product2(X1,X3)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X1,X0,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f79,plain,
subset(relation_dom(sK1),sK3),
inference(unit_resulting_resolution,[],[f66,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( subset(relation_dom(X0),X2)
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X0),X1)
& subset(relation_dom(X0),X2) )
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( ( subset(relation_rng(X1),X0)
& subset(relation_dom(X1),X2) )
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( relation_of2_as_subset(X1,X2,X0)
=> ( subset(relation_rng(X1),X0)
& subset(relation_dom(X1),X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2,X0] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f73,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f250,plain,
~ subset(sK1,cartesian_product2(sK3,relation_rng(sK1))),
inference(unit_resulting_resolution,[],[f91,f136,f60]) ).
fof(f136,plain,
~ subset(sK1,cartesian_product2(sK3,sK2)),
inference(unit_resulting_resolution,[],[f99,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ subset(X2,cartesian_product2(X1,X0))
| relation_of2(X2,X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X1,X0)
| ~ subset(X2,cartesian_product2(X1,X0)) )
& ( subset(X2,cartesian_product2(X1,X0))
| ~ relation_of2(X2,X1,X0) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( relation_of2(X2,X0,X1)
<=> subset(X2,cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).
fof(f99,plain,
~ relation_of2(sK1,sK3,sK2),
inference(unit_resulting_resolution,[],[f68,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) )
& ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X0,X2,X1] :
( ( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) )
& ( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( relation_of2_as_subset(X0,X1,X2)
<=> relation_of2(X0,X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f68,plain,
~ relation_of2_as_subset(sK1,sK3,sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f91,plain,
! [X0] : subset(cartesian_product2(X0,relation_rng(sK1)),cartesian_product2(X0,sK2)),
inference(unit_resulting_resolution,[],[f73,f67,f72]) ).
fof(f67,plain,
subset(relation_rng(sK1),sK2),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 15:11:44 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (30596)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)
% 0.16/0.48 % (30595)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)
% 0.16/0.48 % (30580)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)
% 0.16/0.49 % (30587)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)
% 0.16/0.49 % (30579)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)
% 0.16/0.49 % (30588)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)
% 0.16/0.49 % (30579)First to succeed.
% 0.16/0.49 % (30595)Refutation not found, incomplete strategy% (30595)------------------------------
% 0.16/0.49 % (30595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (30595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (30595)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.49
% 0.16/0.49 % (30595)Memory used [KB]: 1407
% 0.16/0.49 % (30595)Time elapsed: 0.114 s
% 0.16/0.49 % (30595)Instructions burned: 2 (million)
% 0.16/0.49 % (30595)------------------------------
% 0.16/0.49 % (30595)------------------------------
% 0.16/0.50 % (30583)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)
% 0.16/0.50 % (30579)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (30579)------------------------------
% 0.16/0.50 % (30579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (30579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (30579)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (30579)Memory used [KB]: 6012
% 0.16/0.50 % (30579)Time elapsed: 0.109 s
% 0.16/0.50 % (30579)Instructions burned: 7 (million)
% 0.16/0.50 % (30579)------------------------------
% 0.16/0.50 % (30579)------------------------------
% 0.16/0.50 % (30571)Success in time 0.171 s
%------------------------------------------------------------------------------