%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:00 PM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 109 ( 20 unt; 9 def)
% Number of atoms : 385 ( 19 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 455 ( 179 ~; 176 |; 71 &)
% ( 18 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 66 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f26,conjecture,
( ! [X0,X1,X2] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f29,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f57]) ).
fof(f61,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f62,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aSet0(X2)
| sdtpldt1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f109,plain,
! [X0] :
( aIdeal0(X0)
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f110,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f111,plain,
! [X0] :
( aIdeal0(X0)
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0)
| aElement0(sK9(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f112,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aElement0(sK9(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f114,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK8(X0),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f115,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f116,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f117,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f131,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f100]) ).
fof(f143,definition,
( spl15_1
<=> ! [X1] : ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f144,plain,
( ! [X1] : ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,definition,
( spl15_2
<=> ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f147,plain,
( ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f118,f146,f143]) ).
fof(f150,definition,
( spl15_3
<=> ! [X0,X1] :
( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f151,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) )
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,definition,
( spl15_4
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f154,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f119,f153,f150]) ).
fof(f180,plain,
aSet0(xJ),
inference(resolution,[],[f115,f116]) ).
fof(f181,plain,
aSet0(xI),
inference(resolution,[],[f115,f117]) ).
fof(f296,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f114,f131]) ).
fof(f299,definition,
( spl15_5
<=> aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f301,plain,
( aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f303,definition,
( spl15_6
<=> aSet0(sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f304,plain,
( aSet0(sdtpldt1(xI,xJ))
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f305,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| spl15_6 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,plain,
( spl15_5
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f296,f303,f299]) ).
fof(f307,plain,
( ~ aSet0(xI)
| ~ aSet0(xJ)
| spl15_6 ),
inference(resolution,[],[f132,f305]) ).
fof(f309,plain,
( ~ aSet0(xJ)
| spl15_6 ),
inference(forward_subsumption_resolution,[],[f307,f181]) ).
fof(f310,plain,
( $false
| spl15_6 ),
inference(forward_subsumption_resolution,[],[f309,f180]) ).
fof(f311,plain,
spl15_6,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f350,plain,
( aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aElement0(sK9(sdtpldt1(xI,xJ))) ),
inference(resolution,[],[f111,f131]) ).
fof(f352,plain,
( aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| aElement0(sK9(sdtpldt1(xI,xJ)))
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f350,f304]) ).
fof(f354,definition,
( spl15_7
<=> aElement0(sK9(sdtpldt1(xI,xJ))) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f355,plain,
( ~ aElement0(sK9(sdtpldt1(xI,xJ)))
| spl15_7 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( aElement0(sK9(sdtpldt1(xI,xJ)))
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl15_8
<=> aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f359,plain,
( ~ aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| spl15_8 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( spl15_7
| spl15_8
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f352,f303,f358,f354]) ).
fof(f427,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aElement0(sK9(sdtpldt1(xI,xJ))) ),
inference(resolution,[],[f112,f131]) ).
fof(f461,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| aElement0(sK9(sdtpldt1(xI,xJ)))
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f427,f304]) ).
fof(f462,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ spl15_6
| spl15_7 ),
inference(forward_subsumption_resolution,[],[f461,f355]) ).
fof(f464,plain,
( aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f109,f131]) ).
fof(f585,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f110,f131]) ).
fof(f607,plain,
( ~ aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_3
| ~ spl15_6
| spl15_7 ),
inference(resolution,[],[f462,f151]) ).
fof(f608,plain,
( ~ aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| spl15_7 ),
inference(forward_subsumption_resolution,[],[f607,f301]) ).
fof(f609,plain,
( $false
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| spl15_7
| ~ spl15_8 ),
inference(forward_subsumption_resolution,[],[f608,f360]) ).
fof(f610,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| spl15_7
| ~ spl15_8 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f612,plain,
( $false
| ~ spl15_4 ),
inference(resolution,[],[f154,f64]) ).
fof(f618,plain,
~ spl15_4,
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f619,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f585,f304]) ).
fof(f622,definition,
( spl15_14
<=> aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f623,plain,
( aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ aElementOf0(sdtpldt0(sK8(sdtpldt1(xI,xJ)),sK10(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| spl15_14 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f741,plain,
( ~ aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_3
| spl15_14 ),
inference(resolution,[],[f624,f151]) ).
fof(f742,plain,
( ~ aElementOf0(sK10(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_3
| ~ spl15_5
| spl15_14 ),
inference(forward_subsumption_resolution,[],[f741,f301]) ).
fof(f743,plain,
( $false
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| spl15_14 ),
inference(forward_subsumption_resolution,[],[f742,f360]) ).
fof(f744,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| spl15_14 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f759,plain,
( $false
| ~ spl15_1
| ~ spl15_5 ),
inference(resolution,[],[f144,f301]) ).
fof(f762,plain,
( ~ spl15_1
| ~ spl15_5 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f763,plain,
( ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ spl15_6
| ~ spl15_14 ),
inference(forward_subsumption_resolution,[],[f619,f623]) ).
fof(f770,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ spl15_2
| ~ spl15_7 ),
inference(resolution,[],[f147,f356]) ).
fof(f1170,plain,
( ~ aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14 ),
inference(resolution,[],[f770,f763]) ).
fof(f1192,plain,
( $false
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14 ),
inference(forward_subsumption_resolution,[],[f1170,f301]) ).
fof(f1193,plain,
( ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1194,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| spl15_8 ),
inference(forward_subsumption_resolution,[],[f464,f359]) ).
fof(f1195,plain,
( ~ aElementOf0(sdtasdt0(sK9(sdtpldt1(xI,xJ)),sK8(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ spl15_6
| spl15_8 ),
inference(forward_subsumption_resolution,[],[f1194,f304]) ).
fof(f1197,plain,
( ~ aElementOf0(sK8(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_2
| ~ spl15_6
| ~ spl15_7
| spl15_8 ),
inference(resolution,[],[f1195,f770]) ).
fof(f1198,plain,
( $false
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| spl15_8 ),
inference(forward_subsumption_resolution,[],[f1197,f301]) ).
fof(f1199,plain,
( ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| spl15_8 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
cnf(s1,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f148]) ).
cnf(s2,plain,
( spl15_3
| spl15_4 ),
inference(sat_conversion,[],[f155]) ).
cnf(s3,plain,
( spl15_5
| ~ spl15_6 ),
inference(sat_conversion,[],[f306]) ).
cnf(s4,plain,
spl15_6,
inference(sat_conversion,[],[f311]) ).
cnf(s5,plain,
( ~ spl15_6
| spl15_7
| spl15_8 ),
inference(sat_conversion,[],[f361]) ).
cnf(s9,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| spl15_7
| ~ spl15_8 ),
inference(sat_conversion,[],[f610]) ).
cnf(s11,plain,
~ spl15_4,
inference(sat_conversion,[],[f618]) ).
cnf(s14,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| spl15_14 ),
inference(sat_conversion,[],[f744]) ).
cnf(s17,plain,
( ~ spl15_1
| ~ spl15_5 ),
inference(sat_conversion,[],[f762]) ).
cnf(s19,plain,
( ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s20,plain,
( ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| spl15_8 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s21,plain,
spl15_5,
inference(rat,[],[s3,s4]) ).
cnf(s22,plain,
~ spl15_1,
inference(rat,[],[s17,s21]) ).
cnf(s23,plain,
spl15_3,
inference(rat,[],[s2,s11]) ).
cnf(s24,plain,
spl15_2,
inference(rat,[],[s1,s22]) ).
cnf(s26,plain,
spl15_7,
inference(rat,[],[s9,s5,s4,s21,s23]) ).
cnf(s27,plain,
spl15_8,
inference(rat,[],[s20,s24,s21,s4,s26]) ).
cnf(s28,plain,
~ spl15_14,
inference(rat,[],[s19,s24,s21,s4,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s14,s23,s21,s28,s27]) ).
fof(f1200,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n020.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 23:14:20 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.45 Running first-order model finding
% 0.14/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.55 % (3874836)Will run a generic schedule for satisfiability detection.
% 0.23/0.55 % (3874842)% WARNING: option uhcvi not known.
% 0.23/0.55 % (3874842)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1717937702:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.55 % (3874841)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=337533803_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.55 % (3874846)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3697182661:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.55 % (3874848)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2733817020:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.55 % (3874844)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=649784767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.55 % (3874845)dis+10_1_sil=32000:sp=arity:random_seed=3673554676:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.55 % (3874847)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=728551130:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.55 % TRYING [1]
% 0.23/0.55 % TRYING [2]
% 0.23/0.55 % TRYING [3]
% 0.23/0.55 % (3874846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3874836-3874846"...
% 0.23/0.55 % (3874846)...printing done.
% 0.23/0.55 % (3874846)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (3874846)------------------------------
% 0.23/0.55 % (3874846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.55 % (3874846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.55 % (3874846)CaDiCaL version: 2.1.3
% 0.23/0.55 % (3874846)Termination reason: Refutation
% 0.23/0.55 % (3874846)Time elapsed: 0.052 s
% 0.23/0.55 % (3874846)Peak memory usage: 13 MB
% 0.23/0.55 % (3874846)Instructions burned: 80 (million)
% 0.23/0.55 % (3874836)Success in time 0.085 s
% 0.23/0.55 % Vampire exiting
%------------------------------------------------------------------------------