TSTP Solution File: SEU361+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 09:36:32 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 12 unt; 0 def)
% Number of atoms : 345 ( 17 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 413 ( 155 ~; 149 |; 72 &)
% ( 4 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 87 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f239,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f145,f191,f197,f237]) ).
fof(f237,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f235,f83]) ).
fof(f83,plain,
element(sK2,the_carrier(sK1)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ~ related(sK1,bottom_of_relstr(sK1),sK2)
& element(sK2,the_carrier(sK1))
& rel_str(sK1)
& lower_bounded_relstr(sK1)
& antisymmetric_relstr(sK1)
& ~ empty_carrier(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f36,f58,f57]) ).
fof(f57,plain,
( ? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ~ related(sK1,bottom_of_relstr(sK1),X1)
& element(X1,the_carrier(sK1)) )
& rel_str(sK1)
& lower_bounded_relstr(sK1)
& antisymmetric_relstr(sK1)
& ~ empty_carrier(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X1] :
( ~ related(sK1,bottom_of_relstr(sK1),X1)
& element(X1,the_carrier(sK1)) )
=> ( ~ related(sK1,bottom_of_relstr(sK1),sK2)
& element(sK2,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f235,plain,
( ~ element(sK2,the_carrier(sK1))
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f233,f154]) ).
fof(f154,plain,
relstr_set_smaller(sK1,empty_set,sK2),
inference(subsumption_resolution,[],[f150,f82]) ).
fof(f82,plain,
rel_str(sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f150,plain,
( relstr_set_smaller(sK1,empty_set,sK2)
| ~ rel_str(sK1) ),
inference(resolution,[],[f89,f83]) ).
fof(f89,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,empty_set,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( relstr_set_smaller(X0,empty_set,X1)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> relstr_set_smaller(X0,empty_set,X1) ) ),
inference(pure_predicate_removal,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f233,plain,
( ~ relstr_set_smaller(sK1,empty_set,sK2)
| ~ element(sK2,the_carrier(sK1))
| ~ spl11_3 ),
inference(resolution,[],[f231,f84]) ).
fof(f84,plain,
~ related(sK1,bottom_of_relstr(sK1),sK2),
inference(cnf_transformation,[],[f59]) ).
fof(f231,plain,
( ! [X0] :
( related(sK1,bottom_of_relstr(sK1),X0)
| ~ relstr_set_smaller(sK1,empty_set,X0)
| ~ element(X0,the_carrier(sK1)) )
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f230,f80]) ).
fof(f80,plain,
antisymmetric_relstr(sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f230,plain,
( ! [X0] :
( related(sK1,bottom_of_relstr(sK1),X0)
| ~ relstr_set_smaller(sK1,empty_set,X0)
| ~ element(X0,the_carrier(sK1))
| ~ antisymmetric_relstr(sK1) )
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f229,f82]) ).
fof(f229,plain,
( ! [X0] :
( related(sK1,bottom_of_relstr(sK1),X0)
| ~ relstr_set_smaller(sK1,empty_set,X0)
| ~ element(X0,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1) )
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f226,f186]) ).
fof(f186,plain,
( ex_sup_of_relstr_set(sK1,empty_set)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl11_3
<=> ex_sup_of_relstr_set(sK1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f226,plain,
! [X0] :
( related(sK1,bottom_of_relstr(sK1),X0)
| ~ relstr_set_smaller(sK1,empty_set,X0)
| ~ element(X0,the_carrier(sK1))
| ~ ex_sup_of_relstr_set(sK1,empty_set)
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1) ),
inference(superposition,[],[f224,f122]) ).
fof(f122,plain,
bottom_of_relstr(sK1) = join_on_relstr(sK1,empty_set),
inference(resolution,[],[f88,f82]) ).
fof(f88,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f224,plain,
! [X2,X3,X0] :
( related(X0,join_on_relstr(X0,X2),X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(subsumption_resolution,[],[f114,f101]) ).
fof(f101,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f114,plain,
! [X2,X3,X0] :
( related(X0,join_on_relstr(X0,X2),X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(join_on_relstr(X0,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(equality_resolution,[],[f97]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| sP0(X1,X0,X2)
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| sP0(X1,X0,X2)
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f47,f55]) ).
fof(f55,plain,
! [X1,X0,X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
| ~ sP0(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f197,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| spl11_3 ),
inference(subsumption_resolution,[],[f195,f79]) ).
fof(f79,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f195,plain,
( empty_carrier(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f194,f80]) ).
fof(f194,plain,
( ~ antisymmetric_relstr(sK1)
| empty_carrier(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f193,f81]) ).
fof(f81,plain,
lower_bounded_relstr(sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f193,plain,
( ~ lower_bounded_relstr(sK1)
| ~ antisymmetric_relstr(sK1)
| empty_carrier(sK1)
| spl11_3 ),
inference(subsumption_resolution,[],[f192,f82]) ).
fof(f192,plain,
( ~ rel_str(sK1)
| ~ lower_bounded_relstr(sK1)
| ~ antisymmetric_relstr(sK1)
| empty_carrier(sK1)
| spl11_3 ),
inference(resolution,[],[f185,f91]) ).
fof(f91,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ex_sup_of_relstr_set(X0,empty_set) ),
inference(pure_predicate_removal,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f185,plain,
( ~ ex_sup_of_relstr_set(sK1,empty_set)
| spl11_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f191,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f177,f188,f184]) ).
fof(f188,plain,
( spl11_4
<=> sP0(sK2,sK1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f177,plain,
( sP0(sK2,sK1,empty_set)
| ex_sup_of_relstr_set(sK1,empty_set) ),
inference(subsumption_resolution,[],[f176,f80]) ).
fof(f176,plain,
( sP0(sK2,sK1,empty_set)
| ex_sup_of_relstr_set(sK1,empty_set)
| ~ antisymmetric_relstr(sK1) ),
inference(subsumption_resolution,[],[f175,f82]) ).
fof(f175,plain,
( sP0(sK2,sK1,empty_set)
| ex_sup_of_relstr_set(sK1,empty_set)
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1) ),
inference(subsumption_resolution,[],[f165,f83]) ).
fof(f165,plain,
( sP0(sK2,sK1,empty_set)
| ex_sup_of_relstr_set(sK1,empty_set)
| ~ element(sK2,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1) ),
inference(resolution,[],[f99,f154]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X2,X1)
| sP0(X1,X0,X2)
| ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f145,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f143,f82]) ).
fof(f143,plain,
( ~ rel_str(sK1)
| ~ spl11_2 ),
inference(resolution,[],[f142,f86]) ).
fof(f86,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f142,plain,
( ~ one_sorted_str(sK1)
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f139,f79]) ).
fof(f139,plain,
( ~ one_sorted_str(sK1)
| empty_carrier(sK1)
| ~ spl11_2 ),
inference(resolution,[],[f137,f92]) ).
fof(f92,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f137,plain,
( empty(the_carrier(sK1))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl11_2
<=> empty(the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f138,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f128,f135,f131]) ).
fof(f131,plain,
( spl11_1
<=> in(sK2,the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f128,plain,
( empty(the_carrier(sK1))
| in(sK2,the_carrier(sK1)) ),
inference(resolution,[],[f104,f83]) ).
fof(f104,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:48:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (32094)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32097)WARNING: value z3 for option sas not known
% 0.14/0.37 % (32098)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (32096)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (32095)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (32099)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (32097)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (32100)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (32101)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (32097)First to succeed.
% 0.21/0.38 % (32101)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (32099)Also succeeded, but the first one will report.
% 0.21/0.38 % (32097)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32094"
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (32097)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (32097)------------------------------
% 0.21/0.38 % (32097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (32097)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (32097)Memory used [KB]: 887
% 0.21/0.38 % (32097)Time elapsed: 0.011 s
% 0.21/0.38 % (32097)Instructions burned: 12 (million)
% 0.21/0.38 % (32094)Success in time 0.026 s
%------------------------------------------------------------------------------