TSTP Solution File: SEU291+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU291+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_sat --cores 0 -t %d %s
% Computer : n006.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 18:33:02 EDT 2022
% Result : Theorem 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 140 ( 31 unt; 3 typ; 0 def)
% Number of atoms : 392 ( 118 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 405 ( 150 ~; 153 |; 66 &)
% ( 10 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 212 ( 196 !; 16 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_13,type,
sQ22_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_14,type,
sQ23_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_15,type,
sQ24_eqProxy: ( $real * $real ) > $o ).
fof(f729,plain,
$false,
inference(subsumption_resolution,[],[f728,f689]) ).
fof(f689,plain,
relation_of2_as_subset(empty_set,empty_set,sK15),
inference(backward_demodulation,[],[f626,f681]) ).
fof(f681,plain,
empty_set = sK13,
inference(resolution,[],[f675,f288]) ).
fof(f288,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(literal_reordering,[],[f190]) ).
fof(f190,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f675,plain,
empty(sK13),
inference(subsumption_resolution,[],[f674,f486]) ).
fof(f486,plain,
relation(sK13),
inference(resolution,[],[f430,f250]) ).
fof(f250,plain,
relation_of2_as_subset(sK13,sK16,sK14),
inference(literal_reordering,[],[f211]) ).
fof(f211,plain,
relation_of2_as_subset(sK13,sK16,sK14),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( empty_set = sK16
| empty_set != sK14 )
& subset(sK14,sK15)
& function(sK13)
& ( ~ function(sK13)
| ~ relation_of2_as_subset(sK13,sK16,sK15)
| ~ quasi_total(sK13,sK16,sK15) )
& relation_of2_as_subset(sK13,sK16,sK14)
& quasi_total(sK13,sK16,sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f144,f145]) ).
fof(f145,plain,
( ? [X0,X1,X2,X3] :
( ( empty_set = X3
| empty_set != X1 )
& subset(X1,X2)
& function(X0)
& ( ~ function(X0)
| ~ relation_of2_as_subset(X0,X3,X2)
| ~ quasi_total(X0,X3,X2) )
& relation_of2_as_subset(X0,X3,X1)
& quasi_total(X0,X3,X1) )
=> ( ( empty_set = sK16
| empty_set != sK14 )
& subset(sK14,sK15)
& function(sK13)
& ( ~ function(sK13)
| ~ relation_of2_as_subset(sK13,sK16,sK15)
| ~ quasi_total(sK13,sK16,sK15) )
& relation_of2_as_subset(sK13,sK16,sK14)
& quasi_total(sK13,sK16,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
? [X0,X1,X2,X3] :
( ( empty_set = X3
| empty_set != X1 )
& subset(X1,X2)
& function(X0)
& ( ~ function(X0)
| ~ relation_of2_as_subset(X0,X3,X2)
| ~ quasi_total(X0,X3,X2) )
& relation_of2_as_subset(X0,X3,X1)
& quasi_total(X0,X3,X1) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
? [X0,X2,X1,X3] :
( ( empty_set = X3
| empty_set != X2 )
& subset(X2,X1)
& function(X0)
& ( ~ function(X0)
| ~ relation_of2_as_subset(X0,X3,X1)
| ~ quasi_total(X0,X3,X1) )
& relation_of2_as_subset(X0,X3,X2)
& quasi_total(X0,X3,X2) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
? [X3,X0,X2,X1] :
( ( empty_set = X3
| empty_set != X2 )
& ( ~ function(X0)
| ~ relation_of2_as_subset(X0,X3,X1)
| ~ quasi_total(X0,X3,X1) )
& subset(X2,X1)
& relation_of2_as_subset(X0,X3,X2)
& quasi_total(X0,X3,X2)
& function(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
~ ! [X3,X0,X2,X1] :
( ( relation_of2_as_subset(X0,X3,X2)
& quasi_total(X0,X3,X2)
& function(X0) )
=> ( subset(X2,X1)
=> ( ( empty_set != X3
& empty_set = X2 )
| ( function(X0)
& quasi_total(X0,X3,X1)
& relation_of2_as_subset(X0,X3,X1) ) ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,negated_conjecture,
~ ! [X3,X2,X1,X0] :
( ( quasi_total(X3,X0,X1)
& function(X3)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( quasi_total(X3,X0,X2)
& function(X3)
& relation_of2_as_subset(X3,X0,X2) )
| ( empty_set = X1
& empty_set != X0 ) ) ) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
! [X3,X2,X1,X0] :
( ( quasi_total(X3,X0,X1)
& function(X3)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( quasi_total(X3,X0,X2)
& function(X3)
& relation_of2_as_subset(X3,X0,X2) )
| ( empty_set = X1
& empty_set != X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f260,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(literal_reordering,[],[f177]) ).
fof(f177,plain,
! [X2,X0,X1] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X1,X0] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f260,plain,
! [X2,X0,X1] :
( element(X1,powerset(cartesian_product2(X2,X0)))
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(literal_reordering,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X1,X2,X0)
| element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( element(X1,powerset(cartesian_product2(X2,X0)))
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0,X2,X1] :
( element(X2,powerset(cartesian_product2(X1,X0)))
| ~ relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X1,X0)
=> element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(rectify,[],[f14]) ).
fof(f14,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(f674,plain,
( ~ relation(sK13)
| empty(sK13) ),
inference(subsumption_resolution,[],[f671,f274]) ).
fof(f274,plain,
empty(empty_set),
inference(literal_reordering,[],[f228]) ).
fof(f228,plain,
empty(empty_set),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f671,plain,
( empty(sK13)
| ~ empty(empty_set)
| ~ relation(sK13) ),
inference(superposition,[],[f267,f649]) ).
fof(f649,plain,
empty_set = relation_dom(sK13),
inference(resolution,[],[f636,f259]) ).
fof(f259,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f636,plain,
subset(relation_dom(sK13),empty_set),
inference(backward_demodulation,[],[f553,f622]) ).
fof(f622,plain,
empty_set = sK16,
inference(subsumption_resolution,[],[f618,f265]) ).
fof(f265,plain,
( empty_set != sK14
| empty_set = sK16 ),
inference(literal_reordering,[],[f215]) ).
fof(f215,plain,
( empty_set = sK16
| empty_set != sK14 ),
inference(cnf_transformation,[],[f146]) ).
fof(f618,plain,
( empty_set = sK16
| empty_set = sK14 ),
inference(resolution,[],[f604,f259]) ).
fof(f604,plain,
( subset(sK14,empty_set)
| empty_set = sK16 ),
inference(superposition,[],[f307,f588]) ).
fof(f588,plain,
( empty_set = sK15
| empty_set = sK16 ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f582,plain,
( empty_set = sK16
| sK16 != sK16
| empty_set = sK15 ),
inference(superposition,[],[f560,f573]) ).
fof(f573,plain,
( relation_dom(sK13) = sK16
| empty_set = sK16 ),
inference(trivial_inequality_removal,[],[f563]) ).
fof(f563,plain,
( empty_set != empty_set
| empty_set = sK16
| relation_dom(sK13) = sK16 ),
inference(superposition,[],[f265,f548]) ).
fof(f548,plain,
( empty_set = sK14
| relation_dom(sK13) = sK16 ),
inference(superposition,[],[f531,f467]) ).
fof(f467,plain,
( relation_dom_as_subset(sK16,sK14,sK13) = sK16
| empty_set = sK14 ),
inference(subsumption_resolution,[],[f463,f250]) ).
fof(f463,plain,
( empty_set = sK14
| relation_dom_as_subset(sK16,sK14,sK13) = sK16
| ~ relation_of2_as_subset(sK13,sK16,sK14) ),
inference(resolution,[],[f281,f284]) ).
fof(f284,plain,
quasi_total(sK13,sK16,sK14),
inference(literal_reordering,[],[f210]) ).
fof(f210,plain,
quasi_total(sK13,sK16,sK14),
inference(cnf_transformation,[],[f146]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ quasi_total(X0,X1,X2)
| relation_dom_as_subset(X1,X2,X0) = X1
| empty_set = X2
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(literal_reordering,[],[f183]) ).
fof(f183,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X1,X2,X0) = X1
| empty_set = X2
| ~ quasi_total(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ( ( ( ( quasi_total(X0,X1,X2)
| empty_set != X0 )
& ( empty_set = X0
| ~ quasi_total(X0,X1,X2) ) )
| empty_set = X1
| empty_set != X2 )
& ( ( empty_set = X2
& empty_set != X1 )
| ( ( quasi_total(X0,X1,X2)
| relation_dom_as_subset(X1,X2,X0) != X1 )
& ( relation_dom_as_subset(X1,X2,X0) = X1
| ~ quasi_total(X0,X1,X2) ) ) ) ) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( empty_set = X2
| ~ quasi_total(X2,X0,X1) ) )
| empty_set = X0
| empty_set != X1 )
& ( ( empty_set = X1
& empty_set != X0 )
| ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0
| empty_set != X1 )
& ( ( empty_set = X1
& empty_set != X0 )
| ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X2,X1] :
( ( ( ( empty_set = X1
& empty_set != X0 )
| ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) )
& ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( empty_set = X1
=> empty_set = X0 )
=> ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) )
& ( empty_set = X1
=> ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f531,plain,
relation_dom_as_subset(sK16,sK14,sK13) = relation_dom(sK13),
inference(resolution,[],[f448,f250]) ).
fof(f448,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_dom(X0) = relation_dom_as_subset(X1,X2,X0) ),
inference(resolution,[],[f311,f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(literal_reordering,[],[f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) )
& ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_of2(X0,X2,X1)
<=> relation_of2_as_subset(X0,X2,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X2,X1,X0] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X1,X0)
| relation_dom(X2) = relation_dom_as_subset(X1,X0,X2) ),
inference(literal_reordering,[],[f196]) ).
fof(f196,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_dom_as_subset(X1,X0,X2)
| ~ relation_of2(X2,X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( relation_dom(X2) = relation_dom_as_subset(X1,X0,X2)
| ~ relation_of2(X2,X1,X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X2,X1] :
( relation_dom_as_subset(X2,X0,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( relation_of2(X1,X2,X0)
=> relation_dom_as_subset(X2,X0,X1) = relation_dom(X1) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X2,X0] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f560,plain,
( relation_dom(sK13) != sK16
| empty_set = sK15 ),
inference(subsumption_resolution,[],[f559,f458]) ).
fof(f458,plain,
~ quasi_total(sK13,sK16,sK15),
inference(subsumption_resolution,[],[f390,f456]) ).
fof(f456,plain,
relation_of2_as_subset(sK13,sK16,sK15),
inference(resolution,[],[f440,f307]) ).
fof(f440,plain,
! [X0] :
( ~ subset(sK14,X0)
| relation_of2_as_subset(sK13,sK16,X0) ),
inference(resolution,[],[f242,f250]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X1,X3,X0)
| ~ subset(X0,X2)
| relation_of2_as_subset(X1,X3,X2) ),
inference(literal_reordering,[],[f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X1,X3,X0)
| ~ subset(X0,X2)
| relation_of2_as_subset(X1,X3,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ subset(X0,X2)
| relation_of2_as_subset(X1,X3,X2)
| ~ relation_of2_as_subset(X1,X3,X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X3,X2] :
( ~ subset(X0,X3)
| relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X2,X1,X0,X3] :
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X0,X3)
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X2,X1,X0,X3] :
( relation_of2_as_subset(X1,X2,X0)
=> ( subset(X0,X3)
=> relation_of2_as_subset(X1,X2,X3) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X3,X2,X1] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f390,plain,
( ~ quasi_total(sK13,sK16,sK15)
| ~ relation_of2_as_subset(sK13,sK16,sK15) ),
inference(subsumption_resolution,[],[f313,f317]) ).
fof(f317,plain,
function(sK13),
inference(literal_reordering,[],[f213]) ).
fof(f213,plain,
function(sK13),
inference(cnf_transformation,[],[f146]) ).
fof(f313,plain,
( ~ function(sK13)
| ~ quasi_total(sK13,sK16,sK15)
| ~ relation_of2_as_subset(sK13,sK16,sK15) ),
inference(literal_reordering,[],[f212]) ).
fof(f212,plain,
( ~ function(sK13)
| ~ relation_of2_as_subset(sK13,sK16,sK15)
| ~ quasi_total(sK13,sK16,sK15) ),
inference(cnf_transformation,[],[f146]) ).
fof(f559,plain,
( quasi_total(sK13,sK16,sK15)
| relation_dom(sK13) != sK16
| empty_set = sK15 ),
inference(subsumption_resolution,[],[f558,f456]) ).
fof(f558,plain,
( empty_set = sK15
| relation_dom(sK13) != sK16
| ~ relation_of2_as_subset(sK13,sK16,sK15)
| quasi_total(sK13,sK16,sK15) ),
inference(superposition,[],[f282,f532]) ).
fof(f532,plain,
relation_dom_as_subset(sK16,sK15,sK13) = relation_dom(sK13),
inference(resolution,[],[f448,f456]) ).
fof(f282,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X1,X2,X0) != X1
| quasi_total(X0,X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(literal_reordering,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( quasi_total(X0,X1,X2)
| empty_set = X2
| relation_dom_as_subset(X1,X2,X0) != X1
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f307,plain,
subset(sK14,sK15),
inference(literal_reordering,[],[f214]) ).
fof(f214,plain,
subset(sK14,sK15),
inference(cnf_transformation,[],[f146]) ).
fof(f553,plain,
subset(relation_dom(sK13),sK16),
inference(resolution,[],[f552,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset(X1,X0) ),
inference(literal_reordering,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ~ element(X1,powerset(X0)) )
& ( element(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X1,X0)
<=> element(X1,powerset(X0)) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f552,plain,
element(relation_dom(sK13),powerset(sK16)),
inference(subsumption_resolution,[],[f550,f250]) ).
fof(f550,plain,
( element(relation_dom(sK13),powerset(sK16))
| ~ relation_of2_as_subset(sK13,sK16,sK14) ),
inference(superposition,[],[f443,f531]) ).
fof(f443,plain,
! [X2,X0,X1] :
( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(resolution,[],[f279,f306]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X1,X0)
| element(relation_dom_as_subset(X1,X0,X2),powerset(X1)) ),
inference(literal_reordering,[],[f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X1,X0)
| element(relation_dom_as_subset(X1,X0,X2),powerset(X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ relation_of2(X2,X1,X0)
| element(relation_dom_as_subset(X1,X0,X2),powerset(X1)) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0,X2,X1] :
( ~ relation_of2(X1,X2,X0)
| element(relation_dom_as_subset(X2,X0,X1),powerset(X2)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( relation_of2(X1,X2,X0)
=> element(relation_dom_as_subset(X2,X0,X1),powerset(X2)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X0] :
( relation_of2(X2,X0,X1)
=> element(relation_dom_as_subset(X0,X1,X2),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(f267,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(literal_reordering,[],[f197]) ).
fof(f197,plain,
! [X0] :
( empty(X0)
| ~ relation(X0)
| ~ empty(relation_dom(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f626,plain,
relation_of2_as_subset(sK13,empty_set,sK15),
inference(backward_demodulation,[],[f456,f622]) ).
fof(f728,plain,
~ relation_of2_as_subset(empty_set,empty_set,sK15),
inference(subsumption_resolution,[],[f727,f690]) ).
fof(f690,plain,
~ quasi_total(empty_set,empty_set,sK15),
inference(backward_demodulation,[],[f627,f681]) ).
fof(f627,plain,
~ quasi_total(sK13,empty_set,sK15),
inference(backward_demodulation,[],[f458,f622]) ).
fof(f727,plain,
( quasi_total(empty_set,empty_set,sK15)
| ~ relation_of2_as_subset(empty_set,empty_set,sK15) ),
inference(trivial_inequality_removal,[],[f723]) ).
fof(f723,plain,
( empty_set != empty_set
| quasi_total(empty_set,empty_set,sK15)
| ~ relation_of2_as_subset(empty_set,empty_set,sK15) ),
inference(superposition,[],[f285,f707]) ).
fof(f707,plain,
empty_set = relation_dom_as_subset(empty_set,sK15,empty_set),
inference(forward_demodulation,[],[f704,f399]) ).
fof(f399,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f373,f274]) ).
fof(f373,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f288,f278]) ).
fof(f278,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(literal_reordering,[],[f216]) ).
fof(f216,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ empty(X0)
| ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f704,plain,
relation_dom_as_subset(empty_set,sK15,empty_set) = relation_dom(empty_set),
inference(resolution,[],[f689,f448]) ).
fof(f285,plain,
! [X2,X0] :
( empty_set != relation_dom_as_subset(empty_set,X2,X0)
| ~ relation_of2_as_subset(X0,empty_set,X2)
| quasi_total(X0,empty_set,X2) ),
inference(literal_reordering,[],[f238]) ).
fof(f238,plain,
! [X2,X0] :
( empty_set != relation_dom_as_subset(empty_set,X2,X0)
| ~ relation_of2_as_subset(X0,empty_set,X2)
| quasi_total(X0,empty_set,X2) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| empty_set != X1
| quasi_total(X0,X1,X2)
| relation_dom_as_subset(X1,X2,X0) != X1 ),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 15:03:54 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.45 % (32748)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.46 % (32740)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.46 % (32746)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.47 % (32747)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.47 % (32756)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.47 % (32754)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)
% 0.15/0.47 % (32738)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 TRYING [1]
% 0.15/0.47 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.48 % (32739)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (32740)Instruction limit reached!
% 0.15/0.48 % (32740)------------------------------
% 0.15/0.48 % (32740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (32740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (32740)Termination reason: Unknown
% 0.15/0.48 % (32740)Termination phase: Property scanning
% 0.15/0.48
% 0.15/0.48 % (32740)Memory used [KB]: 1023
% 0.15/0.48 % (32740)Time elapsed: 0.005 s
% 0.15/0.48 % (32740)Instructions burned: 3 (million)
% 0.15/0.48 % (32740)------------------------------
% 0.15/0.48 % (32740)------------------------------
% 0.15/0.48 % (32739)Instruction limit reached!
% 0.15/0.48 % (32739)------------------------------
% 0.15/0.48 % (32739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (32755)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.48 % (32739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (32739)Termination reason: Unknown
% 0.15/0.48 % (32739)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (32739)Memory used [KB]: 5628
% 0.15/0.48 % (32739)Time elapsed: 0.105 s
% 0.15/0.48 % (32739)Instructions burned: 7 (million)
% 0.15/0.48 % (32739)------------------------------
% 0.15/0.48 % (32739)------------------------------
% 0.15/0.50 % (32735)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 TRYING [4]
% 0.15/0.51 % (32752)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.51 % (32734)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)
% 0.15/0.51 % (32737)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.51 % (32736)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (32746)First to succeed.
% 0.15/0.52 % (32745)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52 % (32746)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Theorem for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52 % (32746)------------------------------
% 0.15/0.52 % (32746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (32746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (32746)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (32746)Memory used [KB]: 6140
% 0.15/0.52 % (32746)Time elapsed: 0.021 s
% 0.15/0.52 % (32746)Instructions burned: 21 (million)
% 0.15/0.52 % (32746)------------------------------
% 0.15/0.52 % (32746)------------------------------
% 0.15/0.52 % (32731)Success in time 0.212 s
%------------------------------------------------------------------------------