%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM454+1 : 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 : n015.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 12:15:15 PM UTC 2026
% Result : Theorem 6.53s 1.95s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 148 ( 35 unt; 7 def)
% Number of atoms : 368 ( 138 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 412 ( 192 ~; 190 |; 18 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f46,axiom,
( aInteger0(xp)
& xp != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(f49,conjecture,
( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f57,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f65,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f73]) ).
fof(f76,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f77]) ).
fof(f113,plain,
( smndt0(sz10) = sdtpldt0(sz10,xp)
& smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f170,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f176,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f177,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f178,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f179,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f189,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f190,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f283,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f284,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
fof(f289,plain,
smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f113]) ).
fof(f290,plain,
smndt0(sz10) = sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f113]) ).
fof(f311,definition,
sF21 = smndt0(sz10),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f312,plain,
smndt0(sz10) = sF21,
inference(reorient_equations,[],[f311]) ).
fof(f313,definition,
sF22 = sdtpldt0(sz10,xp),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f314,plain,
sdtpldt0(sz10,xp) = sF22,
inference(reorient_equations,[],[f313]) ).
fof(f315,plain,
sF21 = sF22,
inference(definition_folding,[],[f290,f314,f312]) ).
fof(f316,definition,
sF23 = smndt0(xp),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f317,plain,
smndt0(xp) = sF23,
inference(reorient_equations,[],[f316]) ).
fof(f318,definition,
sF24 = sdtpldt0(sz10,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f319,plain,
sdtpldt0(sz10,sF23) = sF24,
inference(reorient_equations,[],[f318]) ).
fof(f320,plain,
sF21 = sF24,
inference(definition_folding,[],[f289,f319,f317,f312]) ).
fof(f322,definition,
( spl25_1
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f323,plain,
( aInteger0(smndt0(sz10))
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ aInteger0(smndt0(sz10))
| spl25_1 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f330,definition,
( spl25_3
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f331,plain,
( aInteger0(sz10)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f337,plain,
spl25_3,
inference(avatar_split_clause,[],[f170,f330]) ).
fof(f338,plain,
sdtpldt0(sz10,xp) = sF21,
inference(forward_demodulation,[],[f314,f315]) ).
fof(f339,plain,
sF21 = sdtpldt0(sz10,sF23),
inference(forward_demodulation,[],[f319,f320]) ).
fof(f340,plain,
( ~ aInteger0(sF21)
| spl25_1 ),
inference(forward_demodulation,[],[f324,f312]) ).
fof(f345,plain,
sz00 = sdtpldt0(smndt0(xp),xp),
inference(resolution,[],[f284,f178]) ).
fof(f346,plain,
sz00 = sdtpldt0(sF23,xp),
inference(forward_demodulation,[],[f345,f317]) ).
fof(f348,plain,
( aInteger0(sF21)
| ~ aInteger0(sz10) ),
inference(superposition,[],[f171,f312]) ).
fof(f349,plain,
( aInteger0(sF23)
| ~ aInteger0(xp) ),
inference(superposition,[],[f171,f317]) ).
fof(f350,plain,
aInteger0(sF23),
inference(forward_subsumption_resolution,[],[f349,f284]) ).
fof(f351,plain,
( ~ aInteger0(sz10)
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f348,f340]) ).
fof(f352,plain,
( $false
| spl25_1
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f351,f331]) ).
fof(f353,plain,
( spl25_1
| ~ spl25_3 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( aInteger0(sF21)
| ~ spl25_1 ),
inference(forward_demodulation,[],[f323,f312]) ).
fof(f357,plain,
sz00 = sdtpldt0(smndt0(sF23),sF23),
inference(resolution,[],[f350,f178]) ).
fof(f364,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f176,f284]) ).
fof(f371,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp) ),
inference(resolution,[],[f174,f284]) ).
fof(f372,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sF21)) = sdtpldt0(sdtpldt0(X0,X1),sF21) )
| ~ spl25_1 ),
inference(resolution,[],[f174,f354]) ).
fof(f376,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF21,xp)) = sdtpldt0(sdtpldt0(X0,sF21),xp) )
| ~ spl25_1 ),
inference(resolution,[],[f371,f354]) ).
fof(f377,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF23,xp)) = sdtpldt0(sdtpldt0(X0,sF23),xp) ),
inference(resolution,[],[f371,f350]) ).
fof(f378,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF23),xp) ),
inference(forward_demodulation,[],[f377,f346]) ).
fof(f402,plain,
smndt0(xp) = sdtasdt0(smndt0(sz10),xp),
inference(resolution,[],[f189,f284]) ).
fof(f404,plain,
smndt0(sF23) = sdtasdt0(smndt0(sz10),sF23),
inference(resolution,[],[f189,f350]) ).
fof(f405,plain,
smndt0(sF23) = sdtasdt0(sF21,sF23),
inference(forward_demodulation,[],[f404,f312]) ).
fof(f407,plain,
smndt0(xp) = sdtasdt0(sF21,xp),
inference(forward_demodulation,[],[f402,f312]) ).
fof(f410,plain,
sF23 = sdtasdt0(sF21,xp),
inference(forward_demodulation,[],[f407,f317]) ).
fof(f420,plain,
sF23 = sdtpldt0(sF23,sz00),
inference(resolution,[],[f177,f350]) ).
fof(f423,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xp,sF21)) = sdtpldt0(sdtpldt0(X0,xp),sF21) )
| ~ spl25_1 ),
inference(resolution,[],[f372,f284]) ).
fof(f437,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) ),
inference(resolution,[],[f175,f284]) ).
fof(f438,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF21) = sdtpldt0(sF21,X0) )
| ~ spl25_1 ),
inference(resolution,[],[f175,f354]) ).
fof(f439,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF23) = sdtpldt0(sF23,X0) ),
inference(resolution,[],[f175,f350]) ).
fof(f443,plain,
( sdtpldt0(sF21,xp) = sdtpldt0(xp,sF21)
| ~ spl25_1 ),
inference(resolution,[],[f437,f354]) ).
fof(f554,definition,
( spl25_9
<=> sz00 = sF23 ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f555,plain,
( sz00 != sF23
| spl25_9 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( sz00 = sF23
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f567,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp)) ),
inference(resolution,[],[f184,f284]) ).
fof(f607,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10) )
| ~ spl25_3 ),
inference(resolution,[],[f331,f174]) ).
fof(f610,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl25_3 ),
inference(resolution,[],[f331,f177]) ).
fof(f612,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl25_3 ),
inference(resolution,[],[f331,f179]) ).
fof(f619,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtpldt0(X0,sz10),xp) )
| ~ spl25_3 ),
inference(resolution,[],[f331,f371]) ).
fof(f621,plain,
( sdtpldt0(sz10,sdtpldt0(sF21,xp)) = sdtpldt0(sdtpldt0(sz10,sF21),xp)
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f331,f376]) ).
fof(f622,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,sF23),xp)
| ~ spl25_3 ),
inference(resolution,[],[f331,f378]) ).
fof(f624,plain,
( sdtpldt0(sz10,sdtpldt0(xp,sF21)) = sdtpldt0(sdtpldt0(sz10,xp),sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f331,f423]) ).
fof(f628,plain,
( sdtpldt0(sz10,sF21) = sdtpldt0(sF21,sz10)
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f331,f438]) ).
fof(f629,plain,
( sdtpldt0(sz10,sF23) = sdtpldt0(sF23,sz10)
| ~ spl25_3 ),
inference(resolution,[],[f331,f439]) ).
fof(f634,plain,
( sF21 = sdtpldt0(sF23,sz10)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f629,f339]) ).
fof(f636,plain,
( sdtpldt0(sF21,sF21) = sdtpldt0(sz10,sdtpldt0(xp,sF21))
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f624,f338]) ).
fof(f638,plain,
( sdtpldt0(sF21,xp) = sdtpldt0(sz10,sz00)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f622,f339]) ).
fof(f639,plain,
( sdtpldt0(sdtpldt0(sz10,sF21),xp) = sdtpldt0(sz10,sdtpldt0(xp,sF21))
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f621,f443]) ).
fof(f640,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF21) = sdtpldt0(sdtpldt0(X0,sz10),xp) )
| ~ spl25_3 ),
inference(forward_demodulation,[],[f619,f338]) ).
fof(f643,plain,
( sz00 = sdtpldt0(sz10,sF21)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f612,f312]) ).
fof(f645,plain,
( sz10 = sdtpldt0(sF21,xp)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f638,f610]) ).
fof(f646,plain,
( sdtpldt0(sF21,sF21) = sdtpldt0(sdtpldt0(sz10,sF21),xp)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f639,f636]) ).
fof(f648,plain,
( sz10 = sdtpldt0(xp,sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f645,f443]) ).
fof(f649,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sF21,sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f646,f643]) ).
fof(f650,plain,
( xp = sdtpldt0(sF21,sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f649,f364]) ).
fof(f659,plain,
( sdtpldt0(sF23,sF21) = sdtpldt0(sdtpldt0(sF23,sz10),xp)
| ~ spl25_3 ),
inference(resolution,[],[f640,f350]) ).
fof(f660,plain,
( sdtpldt0(sF21,xp) = sdtpldt0(sF23,sF21)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f659,f634]) ).
fof(f665,plain,
( sdtpldt0(xp,sF21) = sdtpldt0(sF23,sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f660,f443]) ).
fof(f668,plain,
( sz10 = sdtpldt0(sF23,sF21)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f665,f648]) ).
fof(f688,plain,
( sdtpldt0(sF21,sF21) = sdtpldt0(sz10,sz10)
| ~ spl25_1
| ~ spl25_3 ),
inference(superposition,[],[f636,f648]) ).
fof(f691,plain,
( xp = sdtpldt0(sz10,sz10)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f688,f650]) ).
fof(f730,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF21,sz10)) = sdtpldt0(sdtpldt0(X0,sF21),sz10) )
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f607,f354]) ).
fof(f733,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sF21)) = sdtpldt0(sdtpldt0(X0,sF21),sz10)
| ~ aInteger0(X0) )
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f730,f628]) ).
fof(f737,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF21),sz10) )
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f733,f643]) ).
fof(f798,plain,
( sdtpldt0(sF23,sz00) = sdtpldt0(sdtpldt0(sF23,sF21),sz10)
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f737,f350]) ).
fof(f799,plain,
( sdtpldt0(sF23,sz00) = sdtpldt0(sz10,sz10)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f798,f668]) ).
fof(f804,plain,
( xp = sdtpldt0(sF23,sz00)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f799,f691]) ).
fof(f809,plain,
( xp = sF23
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f804,f420]) ).
fof(f811,plain,
( sz00 != sF23
| ~ spl25_1
| ~ spl25_3 ),
inference(superposition,[],[f283,f809]) ).
fof(f926,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sF21),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sF21,xp)) )
| ~ spl25_1 ),
inference(resolution,[],[f567,f354]) ).
fof(f929,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sF21),xp) = sdtpldt0(sdtasdt0(X0,xp),sF23)
| ~ aInteger0(X0) )
| ~ spl25_1 ),
inference(forward_demodulation,[],[f926,f410]) ).
fof(f935,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sF21),sF23) = sdtpldt0(sdtasdt0(X0,sF23),sF23) )
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f929,f809]) ).
fof(f942,plain,
( sdtasdt0(sdtpldt0(sF21,sF21),sF23) = sdtpldt0(sdtasdt0(sF21,sF23),sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(resolution,[],[f935,f354]) ).
fof(f945,plain,
( sdtpldt0(smndt0(sF23),sF23) = sdtasdt0(sdtpldt0(sF21,sF21),sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f942,f405]) ).
fof(f950,plain,
( sdtpldt0(smndt0(sF23),sF23) = sdtasdt0(xp,sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f945,f650]) ).
fof(f954,plain,
( sdtpldt0(smndt0(sF23),sF23) = sdtasdt0(sF23,sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f950,f809]) ).
fof(f958,plain,
( sz00 = sdtasdt0(sF23,sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(forward_demodulation,[],[f954,f357]) ).
fof(f960,plain,
( sz00 != sz00
| sz00 = sF23
| sz00 = sF23
| ~ aInteger0(sF23)
| ~ aInteger0(sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(superposition,[],[f190,f958]) ).
fof(f961,plain,
( sz00 != sz00
| sz00 = sF23
| ~ aInteger0(sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f962,plain,
( sz00 = sF23
| ~ aInteger0(sF23)
| ~ spl25_1
| ~ spl25_3 ),
inference(trivial_inequality_removal,[],[f961]) ).
fof(f963,plain,
( ~ aInteger0(sF23)
| ~ spl25_1
| ~ spl25_3
| spl25_9 ),
inference(forward_subsumption_resolution,[],[f962,f555]) ).
fof(f964,plain,
( $false
| ~ spl25_1
| ~ spl25_3
| spl25_9 ),
inference(forward_subsumption_resolution,[],[f963,f350]) ).
fof(f965,plain,
( ~ spl25_1
| ~ spl25_3
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f966,plain,
( $false
| ~ spl25_1
| ~ spl25_3
| ~ spl25_9 ),
inference(forward_subsumption_resolution,[],[f811,f556]) ).
fof(f967,plain,
( ~ spl25_1
| ~ spl25_3
| ~ spl25_9 ),
inference(avatar_contradiction_clause,[],[f966]) ).
cnf(s3,plain,
spl25_3,
inference(sat_conversion,[],[f337]) ).
cnf(s4,plain,
( spl25_1
| ~ spl25_3 ),
inference(sat_conversion,[],[f353]) ).
cnf(s9,plain,
( ~ spl25_1
| ~ spl25_3
| spl25_9 ),
inference(sat_conversion,[],[f965]) ).
cnf(s10,plain,
( ~ spl25_1
| ~ spl25_3
| ~ spl25_9 ),
inference(sat_conversion,[],[f967]) ).
cnf(s12,plain,
spl25_1,
inference(rat,[],[s4,s3]) ).
cnf(s13,plain,
~ spl25_9,
inference(rat,[],[s10,s3,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s9,s3,s13,s12]) ).
fof(f970,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM454+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 20:03:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 6.53/1.95 % (1978163)Detected formulas, will run a generic FOF schedule.
% 6.53/1.95 % (1978170)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=2103651140:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.53/1.95 % (1978172)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1773486566:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.53/1.95 % (1978173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2883868808:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.53/1.95 % (1978168)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=3876734688:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.53/1.95 % (1978169)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=1429176165:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.53/1.95 % (1978174)dis-21_1_sil=8000:lcm=predicate:random_seed=3405422821: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)
% 6.53/1.95 % (1978171)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2831457178:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.53/1.95 % (1978171)Instruction limit reached!
% 6.53/1.95 % (1978171)------------------------------
% 6.53/1.95 % (1978171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978171)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978171)Termination reason: Instruction limit
% 6.53/1.95 % (1978171)Termination phase: Saturation
% 6.53/1.95 % (1978171)Time elapsed: 0.065 s
% 6.53/1.95 % (1978171)Peak memory usage: 89 MB
% 6.53/1.95 % (1978171)Instructions burned: 109 (million)
% 6.53/1.95 % (1978172)Instruction limit reached!
% 6.53/1.95 % (1978172)------------------------------
% 6.53/1.95 % (1978172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978172)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978172)Termination reason: Instruction limit
% 6.53/1.95 % (1978172)Termination phase: Saturation
% 6.53/1.95 % (1978172)Time elapsed: 0.070 s
% 6.53/1.95 % (1978172)Peak memory usage: 88 MB
% 6.53/1.95 % (1978172)Instructions burned: 119 (million)
% 6.53/1.95 % (1978174)Instruction limit reached!
% 6.53/1.95 % (1978174)------------------------------
% 6.53/1.95 % (1978174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978174)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978174)Termination reason: Instruction limit
% 6.53/1.95 % (1978174)Termination phase: Saturation
% 6.53/1.95 % (1978174)Time elapsed: 0.079 s
% 6.53/1.95 % (1978174)Peak memory usage: 89 MB
% 6.53/1.95 % (1978174)Instructions burned: 129 (million)
% 6.53/1.95 % (1978173)Instruction limit reached!
% 6.53/1.95 % (1978173)------------------------------
% 6.53/1.95 % (1978173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978173)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978173)Termination reason: Instruction limit
% 6.53/1.95 % (1978173)Termination phase: Saturation
% 6.53/1.95 % (1978173)Time elapsed: 0.096 s
% 6.53/1.95 % (1978173)Peak memory usage: 90 MB
% 6.53/1.95 % (1978173)Instructions burned: 140 (million)
% 6.53/1.95 % (1978183)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2421890433:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.53/1.95 % (1978182)lrs+10_1_sil=8000:sp=occurrence:random_seed=4263239243:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.53/1.95 % (1978184)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4035154021:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.53/1.95 % (1978185)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4234308357:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.53/1.95 % (1978183)Instruction limit reached!
% 6.53/1.95 % (1978183)------------------------------
% 6.53/1.95 % (1978183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978183)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978183)Termination reason: Instruction limit
% 6.53/1.95 % (1978183)Termination phase: Saturation
% 6.53/1.95 % (1978183)Time elapsed: 0.075 s
% 6.53/1.95 % (1978183)Peak memory usage: 91 MB
% 6.53/1.95 % (1978183)Instructions burned: 158 (million)
% 6.53/1.95 % (1978185)Instruction limit reached!
% 6.53/1.95 % (1978185)------------------------------
% 6.53/1.95 % (1978185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978185)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978185)Termination reason: Instruction limit
% 6.53/1.95 % (1978185)Termination phase: Saturation
% 6.53/1.95 % (1978185)Time elapsed: 0.118 s
% 6.53/1.95 % (1978185)Peak memory usage: 94 MB
% 6.53/1.95 % (1978185)Instructions burned: 249 (million)
% 6.53/1.95 % (1978182)Instruction limit reached!
% 6.53/1.95 % (1978182)------------------------------
% 6.53/1.95 % (1978182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978182)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978182)Termination reason: Instruction limit
% 6.53/1.95 % (1978182)Termination phase: Saturation
% 6.53/1.95 % (1978182)Time elapsed: 0.171 s
% 6.53/1.95 % (1978182)Peak memory usage: 92 MB
% 6.53/1.95 % (1978182)Instructions burned: 286 (million)
% 6.53/1.95 % (1978184)Instruction limit reached!
% 6.53/1.95 % (1978184)------------------------------
% 6.53/1.95 % (1978184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978184)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978184)Termination reason: Instruction limit
% 6.53/1.95 % (1978184)Termination phase: Saturation
% 6.53/1.95 % (1978184)Time elapsed: 0.196 s
% 6.53/1.95 % (1978184)Peak memory usage: 92 MB
% 6.53/1.95 % (1978184)Instructions burned: 326 (million)
% 6.53/1.95 % (1978190)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2348398671:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.53/1.95 % (1978191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4087642920:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.53/1.95 % (1978192)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3460243471:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.53/1.95 % (1978194)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=293224819:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.53/1.95 % (1978190)Instruction limit reached!
% 6.53/1.95 % (1978190)------------------------------
% 6.53/1.95 % (1978190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978190)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978190)Termination reason: Instruction limit
% 6.53/1.95 % (1978190)Termination phase: Saturation
% 6.53/1.95 % (1978190)Time elapsed: 0.165 s
% 6.53/1.95 % (1978190)Peak memory usage: 90 MB
% 6.53/1.95 % (1978190)Instructions burned: 294 (million)
% 6.53/1.95 % (1978192)Instruction limit reached!
% 6.53/1.95 % (1978192)------------------------------
% 6.53/1.95 % (1978192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978192)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978192)Termination reason: Instruction limit
% 6.53/1.95 % (1978192)Termination phase: Saturation
% 6.53/1.95 % (1978192)Time elapsed: 0.075 s
% 6.53/1.95 % (1978192)Peak memory usage: 90 MB
% 6.53/1.95 % (1978192)Instructions burned: 114 (million)
% 6.53/1.95 % (1978194)Instruction limit reached!
% 6.53/1.95 % (1978194)------------------------------
% 6.53/1.95 % (1978194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978194)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978194)Termination reason: Instruction limit
% 6.53/1.95 % (1978194)Termination phase: Saturation
% 6.53/1.95 % (1978194)Time elapsed: 0.061 s
% 6.53/1.95 % (1978194)Peak memory usage: 88 MB
% 6.53/1.95 % (1978194)Instructions burned: 127 (million)
% 6.53/1.95 % (1978198)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=695756023:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.53/1.95 % (1978168)First to succeed.
% 6.53/1.95 % (1978168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1978163"
% 6.53/1.95 % (1978199)lrs+10_1_sil=8000:sp=occurrence:random_seed=472679450:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.53/1.95 % (1978200)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4015598026:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.53/1.95 % (1978198)Instruction limit reached!
% 6.53/1.95 % (1978198)------------------------------
% 6.53/1.95 % (1978198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.95 % (1978198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.95 % (1978198)CaDiCaL version: 2.1.3
% 6.53/1.95 % (1978198)Termination reason: Instruction limit
% 6.53/1.95 % (1978198)Termination phase: Saturation
% 6.53/1.95 % (1978198)Time elapsed: 0.065 s
% 6.53/1.95 % (1978198)Peak memory usage: 89 MB
% 6.53/1.95 % (1978198)Instructions burned: 115 (million)
% 6.53/1.95 % (1978169)Also succeeded, but the first one will report.
% 6.53/1.95 % (1978204)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=176928799:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.53/1.95 % (1978168)Refutation found. Thanks to Tanya!
% 6.53/1.95 % SZS status Theorem for theBenchmark
% 6.53/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/2.14 % (1978168)------------------------------
% 8.46/2.14 % (1978168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.14 % (1978168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.14 % (1978168)CaDiCaL version: 2.1.3
% 8.46/2.14 % (1978168)Termination reason: Refutation
% 8.46/2.14 % (1978168)Time elapsed: 0.709 s
% 8.46/2.14 % (1978168)Peak memory usage: 131 MB
% 8.46/2.14 % (1978168)Instructions burned: 1076 (million)
% 8.46/2.14 % (1978168)------------------------------
% 8.46/2.14 % (1978168)------------------------------
% 8.46/2.14 % (1978163)Success in time 1.113 s
% 8.46/2.14 % Vampire exiting
%------------------------------------------------------------------------------