%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG098+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:35:30 PM UTC 2026
% Result : Theorem 1.99s 1.14s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 86 ( 27 unt; 4 def)
% Number of atoms : 281 ( 15 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 305 ( 110 ~; 104 |; 61 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 76 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f28,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f33,axiom,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1374) ).
fof(f34,axiom,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1393) ).
fof(f35,conjecture,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) )
& aIdeal0(xJ) ),
inference(rectify,[],[f28]) ).
fof(f38,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(flattening,[],[f36]) ).
fof(f42,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(f43,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aIdeal0(xJ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f54,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,[],[f42]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f55]) ).
fof(f67,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f69,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f75,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) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f76,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) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f75]) ).
fof(f77,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) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK6(X0),sK7(X0)),X0)
& aElementOf0(sK7(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK8(X0),sK6(X0)),X0)
& aElement0(sK8(X0)) ) )
& aElementOf0(sK6(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X3,sK8(X0))],[f77]) ).
fof(f88,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f43]) ).
fof(f89,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f43]) ).
fof(f97,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f98,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f100,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f101,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f103,plain,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
inference(cnf_transformation,[],[f33]) ).
fof(f104,plain,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnf_transformation,[],[f34]) ).
fof(f105,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f38]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f114,plain,
! [X0,X6,X4] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f115,plain,
! [X0,X4,X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f123,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f141,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f145,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f220,definition,
( spl16_6
<=> aElement0(xb) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f221,plain,
( aElement0(xb)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( ~ aElement0(xb)
| spl16_6 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f240,definition,
( spl16_10
<=> aElementOf0(sdtasdt0(xy,xa),xI) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f242,plain,
( ~ aElementOf0(sdtasdt0(xy,xa),xI)
| spl16_10 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f248,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f100,f110]) ).
fof(f249,plain,
( ~ aSet0(xJ)
| spl16_6 ),
inference(forward_subsumption_resolution,[],[f248,f222]) ).
fof(f250,plain,
( $false
| spl16_6 ),
inference(forward_subsumption_resolution,[],[f249,f88]) ).
fof(f251,plain,
spl16_6,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f408,definition,
( spl16_26
<=> aElement0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f409,plain,
( aElement0(smndt0(sz10))
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( ~ aElement0(smndt0(sz10))
| spl16_26 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f533,plain,
~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI),
inference(superposition,[],[f105,f103]) ).
fof(f736,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xy,xa),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f533,f115]) ).
fof(f750,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xy,xa),xI) ),
inference(forward_subsumption_resolution,[],[f736,f89]) ).
fof(f752,definition,
( spl16_44
<=> aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI) ),
introduced(definition,[new_symbols(definition,[spl16_44])],[avatar_definition]) ).
fof(f754,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| spl16_44 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f760,plain,
( ~ spl16_10
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f750,f752,f240]) ).
fof(f762,plain,
( ~ aElement0(xy)
| ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl16_10 ),
inference(resolution,[],[f242,f114]) ).
fof(f767,plain,
( ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f762,f97]) ).
fof(f771,plain,
( ~ aIdeal0(xI)
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f767,f101]) ).
fof(f774,plain,
( $false
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f771,f89]) ).
fof(f775,plain,
spl16_10,
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f966,plain,
( ~ aElement0(sz10)
| spl16_26 ),
inference(resolution,[],[f410,f146]) ).
fof(f967,plain,
( $false
| spl16_26 ),
inference(forward_subsumption_resolution,[],[f966,f145]) ).
fof(f968,plain,
spl16_26,
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f1008,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(xx)
| spl16_44 ),
inference(superposition,[],[f754,f141]) ).
fof(f1011,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| spl16_44 ),
inference(forward_subsumption_resolution,[],[f1008,f98]) ).
fof(f1179,plain,
( ~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI)
| ~ aElement0(xx)
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10))
| spl16_44 ),
inference(superposition,[],[f1011,f123]) ).
fof(f1180,plain,
( ~ aElement0(xx)
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10))
| spl16_44 ),
inference(forward_subsumption_resolution,[],[f1179,f104]) ).
fof(f1181,plain,
( ~ aElement0(xb)
| ~ aElement0(smndt0(sz10))
| spl16_44 ),
inference(forward_subsumption_resolution,[],[f1180,f98]) ).
fof(f1182,plain,
( ~ aElement0(smndt0(sz10))
| ~ spl16_6
| spl16_44 ),
inference(forward_subsumption_resolution,[],[f1181,f221]) ).
fof(f1183,plain,
( $false
| ~ spl16_6
| ~ spl16_26
| spl16_44 ),
inference(forward_subsumption_resolution,[],[f1182,f409]) ).
fof(f1184,plain,
( ~ spl16_6
| ~ spl16_26
| spl16_44 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
cnf(s10,plain,
spl16_6,
inference(sat_conversion,[],[f251]) ).
cnf(s41,plain,
( ~ spl16_10
| ~ spl16_44 ),
inference(sat_conversion,[],[f760]) ).
cnf(s43,plain,
spl16_10,
inference(sat_conversion,[],[f775]) ).
cnf(s49,plain,
spl16_26,
inference(sat_conversion,[],[f968]) ).
cnf(s52,plain,
( ~ spl16_6
| ~ spl16_26
| spl16_44 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s53,plain,
~ spl16_44,
inference(rat,[],[s41,s43]) ).
cnf(s54,plain,
~ spl16_6,
inference(rat,[],[s52,s49,s53]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s10,s54]) ).
fof(f1185,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG098+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:15:17 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/1.14 % (1414938)Detected formulas, will run a generic FOF schedule.
% 1.99/1.14 % (1414946)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=333692571:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.99/1.14 % (1414946)First to succeed.
% 1.99/1.14 % (1414946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1414938"
% 1.99/1.14 % (1414949)dis-21_1_sil=8000:lcm=predicate:random_seed=796371748:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.99/1.14 % (1414947)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=342623063:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.99/1.14 % (1414948)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2918890985:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.99/1.14 % (1414945)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3078436564:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.99/1.14 % (1414944)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3282622303:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.99/1.14 % (1414943)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1115692721:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.99/1.14 % (1414947)Instruction limit reached!
% 1.99/1.14 % (1414947)------------------------------
% 1.99/1.14 % (1414947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.14 % (1414947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.14 % (1414947)CaDiCaL version: 2.1.3
% 1.99/1.14 % (1414947)Termination reason: Instruction limit
% 1.99/1.14 % (1414947)Termination phase: Saturation
% 1.99/1.14 % (1414947)Time elapsed: 0.072 s
% 1.99/1.14 % (1414947)Peak memory usage: 89 MB
% 1.99/1.14 % (1414947)Instructions burned: 119 (million)
% 1.99/1.14 % (1414949)Instruction limit reached!
% 1.99/1.14 % (1414949)------------------------------
% 1.99/1.14 % (1414949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.14 % (1414949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.14 % (1414949)CaDiCaL version: 2.1.3
% 1.99/1.14 % (1414949)Termination reason: Instruction limit
% 1.99/1.14 % (1414949)Termination phase: Saturation
% 1.99/1.14 % (1414949)Time elapsed: 0.078 s
% 1.99/1.14 % (1414949)Peak memory usage: 90 MB
% 1.99/1.14 % (1414949)Instructions burned: 131 (million)
% 1.99/1.14 % (1414948)Instruction limit reached!
% 1.99/1.14 % (1414948)------------------------------
% 1.99/1.14 % (1414948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.14 % (1414948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.14 % (1414948)CaDiCaL version: 2.1.3
% 1.99/1.14 % (1414948)Termination reason: Instruction limit
% 1.99/1.14 % (1414948)Termination phase: Saturation
% 1.99/1.14 % (1414948)Time elapsed: 0.092 s
% 1.99/1.14 % (1414948)Peak memory usage: 90 MB
% 1.99/1.14 % (1414948)Instructions burned: 140 (million)
% 1.99/1.14 % (1414946)Refutation found. Thanks to Tanya!
% 1.99/1.14 % SZS status Theorem for theBenchmark
% 1.99/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.34 % (1414946)------------------------------
% 2.55/1.34 % (1414946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.34 % (1414946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.34 % (1414946)CaDiCaL version: 2.1.3
% 2.55/1.34 % (1414946)Termination reason: Refutation
% 2.55/1.34 % (1414946)Time elapsed: 0.014 s
% 2.55/1.34 % (1414946)Peak memory usage: 90 MB
% 2.55/1.34 % (1414946)Instructions burned: 35 (million)
% 2.55/1.34 % (1414946)------------------------------
% 2.55/1.34 % (1414946)------------------------------
% 2.55/1.34 % (1414938)Success in time 0.27 s
% 2.55/1.34 % Vampire exiting
%------------------------------------------------------------------------------