%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM514+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 : n017.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 12:24:37 PM UTC 2026
% Result : Theorem 0.36s 0.47s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 116 ( 33 unt; 8 def)
% Number of atoms : 288 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 289 ( 117 ~; 127 |; 22 &)
% ( 17 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 40 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f55,axiom,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f56,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f57]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f109,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f110]) ).
fof(f122,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f123,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f122]) ).
fof(f129,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f111]) ).
fof(f192,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f196,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f198,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f201,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f208,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f213,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f214,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f215,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f221,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f226,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f227,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f58]) ).
fof(f233,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f177]) ).
fof(f235,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f179]) ).
fof(f237,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f192]) ).
fof(f251,definition,
( spl4_3
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f253,plain,
( ~ isPrime0(sz00)
| spl4_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl4_4
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f258,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f237,f255,f251]) ).
fof(f260,plain,
spl4_4,
inference(avatar_split_clause,[],[f129,f255]) ).
fof(f329,definition,
( spl4_6
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f330,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_6 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f334,plain,
~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))),
inference(superposition,[],[f227,f226]) ).
fof(f335,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f133,f226]) ).
fof(f336,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[],[f335,f197]) ).
fof(f338,definition,
( spl4_7
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f340,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_7 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl4_8
<=> aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f344,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,plain,
( ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f336,f342,f338]) ).
fof(f399,definition,
( spl4_9
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f400,plain,
( aNaturalNumber0(xk)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f401,plain,
( ~ aNaturalNumber0(xk)
| spl4_9 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f445,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_6 ),
inference(resolution,[],[f330,f133]) ).
fof(f446,plain,
( ~ aNaturalNumber0(xm)
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f445,f198]) ).
fof(f447,plain,
( $false
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f446,f197]) ).
fof(f448,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f558,definition,
( spl4_20
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f559,plain,
( sz00 != xr
| spl4_20 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( sz00 = xr
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f566,definition,
( spl4_22
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f567,plain,
( sz00 != xp
| spl4_22 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( sz00 = xp
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f599,plain,
( isPrime0(sz00)
| ~ spl4_20 ),
inference(superposition,[],[f213,f560]) ).
fof(f628,plain,
( $false
| spl4_3
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f599,f253]) ).
fof(f629,plain,
( spl4_3
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f696,plain,
( isPrime0(sz00)
| ~ spl4_22 ),
inference(superposition,[],[f201,f568]) ).
fof(f725,plain,
( $false
| spl4_3
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f696,f253]) ).
fof(f726,plain,
( spl4_3
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f869,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
inference(resolution,[],[f233,f334]) ).
fof(f1062,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f235,f200]) ).
fof(f1066,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[],[f235,f221]) ).
fof(f1067,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(resolution,[],[f235,f214]) ).
fof(f1072,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[],[f1066,f215]) ).
fof(f1076,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f1062,f196]) ).
fof(f1079,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[],[f1072,f198]) ).
fof(f1083,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f1076,f331]) ).
fof(f1085,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_20 ),
inference(forward_subsumption_resolution,[],[f1079,f559]) ).
fof(f1089,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_6
| spl4_22 ),
inference(forward_subsumption_resolution,[],[f1083,f567]) ).
fof(f1091,plain,
( $false
| spl4_7
| spl4_20 ),
inference(forward_subsumption_resolution,[],[f1085,f340]) ).
fof(f1092,plain,
( spl4_7
| spl4_20 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1097,plain,
( aNaturalNumber0(xk)
| ~ spl4_6
| spl4_22 ),
inference(forward_demodulation,[],[f1089,f208]) ).
fof(f1101,plain,
( $false
| ~ spl4_6
| spl4_9
| spl4_22 ),
inference(forward_subsumption_resolution,[],[f1097,f401]) ).
fof(f1102,plain,
( ~ spl4_6
| spl4_9
| spl4_22 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1116,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(forward_subsumption_resolution,[],[f1067,f215]) ).
fof(f1119,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
inference(forward_subsumption_resolution,[],[f869,f196]) ).
fof(f1138,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xk,xr))
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f1116,f400]) ).
fof(f1141,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f1119,f344]) ).
fof(f1151,plain,
( aNaturalNumber0(sdtsldt0(xk,xr))
| ~ spl4_9
| spl4_20 ),
inference(forward_subsumption_resolution,[],[f1138,f559]) ).
fof(f1161,plain,
( $false
| ~ spl4_8
| ~ spl4_9
| spl4_20 ),
inference(forward_subsumption_resolution,[],[f1151,f1141]) ).
fof(f1162,plain,
( ~ spl4_8
| ~ spl4_9
| spl4_20 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
cnf(s2,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f258]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f260]) ).
cnf(s6,plain,
( ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f345]) ).
cnf(s12,plain,
spl4_6,
inference(sat_conversion,[],[f448]) ).
cnf(s21,plain,
( spl4_3
| ~ spl4_20 ),
inference(sat_conversion,[],[f629]) ).
cnf(s23,plain,
( spl4_3
| ~ spl4_22 ),
inference(sat_conversion,[],[f726]) ).
cnf(s28,plain,
( spl4_7
| spl4_20 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s31,plain,
( ~ spl4_6
| spl4_9
| spl4_22 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s33,plain,
( ~ spl4_8
| ~ spl4_9
| spl4_20 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s37,plain,
~ spl4_3,
inference(rat,[],[s2,s4]) ).
cnf(s38,plain,
~ spl4_22,
inference(rat,[],[s23,s37]) ).
cnf(s39,plain,
~ spl4_20,
inference(rat,[],[s21,s37]) ).
cnf(s41,plain,
spl4_9,
inference(rat,[],[s31,s12,s38]) ).
cnf(s42,plain,
spl4_7,
inference(rat,[],[s28,s39]) ).
cnf(s44,plain,
~ spl4_8,
inference(rat,[],[s33,s39,s41]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s6,s44,s42]) ).
fof(f1177,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM514+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:12:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.36/0.47 % (2906638)Will run a generic schedule for satisfiability detection.
% 0.36/0.47 % (2906649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4027319411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.47 % (2906644)% WARNING: option uhcvi not known.
% 0.36/0.47 % (2906643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2225404818_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.47 % (2906648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2509428818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.47 % (2906645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3829649075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.47 % (2906646)dis+10_1_sil=32000:sp=arity:random_seed=1199434912:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.47 % (2906647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1012399112:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.47 % (2906644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=856324788:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.47 % Detected minimum model sizes of [3]
% 0.36/0.47 % Detected maximum model sizes of [max]
% 0.36/0.47 % TRYING [3]
% 0.36/0.47 % TRYING [4]
% 0.36/0.47 % (2906647) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2906638-2906647"...
% 0.36/0.47 % (2906647)...printing done.
% 0.36/0.47 % (2906647)Refutation found. Thanks to Tanya!
% 0.36/0.47 % SZS status Theorem for theBenchmark
% 0.36/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.47 % (2906647)------------------------------
% 0.36/0.47 % (2906647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.47 % (2906647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.47 % (2906647)CaDiCaL version: 2.1.3
% 0.36/0.47 % (2906647)Termination reason: Refutation
% 0.36/0.47 % (2906647)Time elapsed: 0.023 s
% 0.36/0.47 % (2906647)Peak memory usage: 13 MB
% 0.36/0.47 % (2906647)Instructions burned: 33 (million)
% 0.36/0.47 % (2906638)Success in time 0.059 s
% 0.36/0.47 % Vampire exiting
%------------------------------------------------------------------------------