%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG083+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 : n019.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 12:35:59 PM UTC 2026
% Result : Theorem 3.11s 0.94s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 125 ( 34 unt; 4 def)
% Number of atoms : 274 ( 96 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 227 ( 78 ~; 117 |; 19 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f16,axiom,
aElement0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__468) ).
fof(f17,conjecture,
( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f18,negated_conjecture,
~ ( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f20,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f24,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f39,plain,
( sz00 != sdtasdt0(xx,sz00)
| sz00 != sdtasdt0(sz00,xx) ),
inference(ennf_transformation,[],[f18]) ).
fof(f40,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
aElement0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
~ aElement0(sz00),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f62,plain,
~ aElement0(sz10),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f63,plain,
! [X0] :
( ~ aElement0(smndt0(X0))
| aElement0(X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aElement0(sdtasdt0(X0,X1))
| aElement0(X0)
| aElement0(X1) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f67,plain,
! [X2,X0,X1] :
( aElement0(X2)
| aElement0(X1)
| aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f68,plain,
! [X0] :
( aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f69,plain,
! [X0] :
( aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f70,plain,
! [X0] :
( aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f72,plain,
! [X0,X1] :
( aElement0(X1)
| aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f73,plain,
! [X2,X0,X1] :
( aElement0(X2)
| aElement0(X1)
| aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f74,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f76,plain,
! [X2,X0,X1] :
( aElement0(X2)
| aElement0(X1)
| aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f80,plain,
~ aElement0(xx),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f82,definition,
( spl0_1
<=> sz00 = sdtasdt0(xx,sz00) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f84,plain,
( sz00 != sdtasdt0(xx,sz00)
| spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_2
<=> sz00 = sdtasdt0(sz00,xx) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f88,plain,
( sz00 != sdtasdt0(sz00,xx)
| spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f60,f86,f82]) ).
fof(f91,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f68,f62]) ).
fof(f95,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f69,f62]) ).
fof(f98,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(resolution,[],[f74,f61]) ).
fof(f101,plain,
xx = sdtasdt0(xx,sz10),
inference(resolution,[],[f74,f80]) ).
fof(f113,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sz00,sdtasdt0(X0,X1)) ),
inference(resolution,[],[f65,f69]) ).
fof(f114,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz00) ),
inference(resolution,[],[f65,f68]) ).
fof(f121,plain,
sz00 = sdtpldt0(xx,smndt0(xx)),
inference(resolution,[],[f70,f80]) ).
fof(f167,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) ),
inference(resolution,[],[f72,f80]) ).
fof(f187,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtpldt0(sdtpldt0(X1,xx),X0) = sdtpldt0(X1,sdtpldt0(xx,X0)) ),
inference(resolution,[],[f67,f80]) ).
fof(f202,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),xx) = sdtasdt0(X1,sdtasdt0(X0,xx)) ),
inference(resolution,[],[f73,f80]) ).
fof(f218,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sz00)) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sz00)) ),
inference(resolution,[],[f76,f61]) ).
fof(f235,plain,
! [X0,X1] :
( aElement0(X0)
| aElement0(X1)
| sdtasdt0(xx,sdtpldt0(X1,X0)) = sdtpldt0(sdtasdt0(xx,X1),sdtasdt0(xx,X0)) ),
inference(resolution,[],[f76,f80]) ).
fof(f279,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(resolution,[],[f167,f61]) ).
fof(f332,plain,
( sz00 != sdtasdt0(sz00,xx)
| spl0_1 ),
inference(superposition,[],[f84,f279]) ).
fof(f334,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f332,f82,f86]) ).
fof(f471,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ),
inference(resolution,[],[f113,f61]) ).
fof(f498,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sdtasdt0(xx,X0),sz00) ),
inference(resolution,[],[f114,f80]) ).
fof(f637,plain,
! [X0,X1] :
( aElement0(X1)
| aElement0(X0)
| sdtpldt0(sdtpldt0(X1,xx),smndt0(X0)) = sdtpldt0(X1,sdtpldt0(xx,smndt0(X0))) ),
inference(resolution,[],[f187,f63]) ).
fof(f666,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(X0,sdtasdt0(sz00,xx)) ),
inference(resolution,[],[f202,f61]) ).
fof(f1129,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(xx,sdtpldt0(X0,sz10)) = sdtpldt0(sdtasdt0(xx,X0),sdtasdt0(xx,sz10)) ),
inference(resolution,[],[f235,f62]) ).
fof(f1143,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(xx,sdtpldt0(X0,sz10)) = sdtpldt0(sdtasdt0(xx,X0),xx) ),
inference(forward_demodulation,[],[f1129,f101]) ).
fof(f1311,plain,
sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sz00),
inference(resolution,[],[f498,f61]) ).
fof(f1318,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz00,xx),sz00),
inference(forward_demodulation,[],[f1311,f279]) ).
fof(f1321,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00)) ),
inference(resolution,[],[f218,f62]) ).
fof(f1336,plain,
! [X0] :
( aElement0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00)) ),
inference(forward_demodulation,[],[f1321,f91]) ).
fof(f2965,plain,
sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00)),
inference(resolution,[],[f471,f61]) ).
fof(f3471,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(sz00,xx)),
inference(resolution,[],[f666,f61]) ).
fof(f4661,plain,
sdtasdt0(xx,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(xx,sz00),xx),
inference(resolution,[],[f1143,f61]) ).
fof(f4671,plain,
sdtasdt0(xx,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(sz00,xx),xx),
inference(forward_demodulation,[],[f4661,f279]) ).
fof(f4672,plain,
sdtasdt0(xx,sz10) = sdtpldt0(sdtasdt0(sz00,xx),xx),
inference(forward_demodulation,[],[f4671,f95]) ).
fof(f4673,plain,
xx = sdtpldt0(sdtasdt0(sz00,xx),xx),
inference(forward_demodulation,[],[f4672,f101]) ).
fof(f6194,plain,
( ~ aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx)))
| aElement0(sdtasdt0(sz00,sz00))
| aElement0(xx) ),
inference(superposition,[],[f65,f3471]) ).
fof(f6195,plain,
( ~ aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx)))
| aElement0(sdtasdt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[],[f6194,f80]) ).
fof(f6197,definition,
( spl0_8
<=> aElement0(sdtasdt0(sz00,sz00)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f6199,plain,
( aElement0(sdtasdt0(sz00,sz00))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f6197]) ).
fof(f6201,definition,
( spl0_9
<=> aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx))) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f6203,plain,
( ~ aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx)))
| spl0_9 ),
inference(avatar_component_clause,[],[f6201]) ).
fof(f6204,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f6195,f6201,f6197]) ).
fof(f8023,plain,
sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,sz00)),
inference(resolution,[],[f1336,f61]) ).
fof(f8039,plain,
sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00)),
inference(forward_demodulation,[],[f8023,f98]) ).
fof(f8057,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(superposition,[],[f8039,f2965]) ).
fof(f8066,plain,
sdtasdt0(sz00,xx) = sdtasdt0(sz00,sdtasdt0(sz00,xx)),
inference(superposition,[],[f3471,f8057]) ).
fof(f14025,plain,
! [X0] :
( aElement0(X0)
| sdtpldt0(sdtpldt0(X0,xx),smndt0(xx)) = sdtpldt0(X0,sdtpldt0(xx,smndt0(xx))) ),
inference(resolution,[],[f637,f80]) ).
fof(f14027,plain,
! [X0] :
( aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xx),smndt0(xx)) ),
inference(forward_demodulation,[],[f14025,f121]) ).
fof(f19017,plain,
( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xx)),sz00) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xx)),xx),smndt0(xx))
| spl0_9 ),
inference(resolution,[],[f14027,f6203]) ).
fof(f19026,plain,
( sdtpldt0(sdtasdt0(sz00,xx),sz00) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,xx),xx),smndt0(xx))
| spl0_9 ),
inference(forward_demodulation,[],[f19017,f8066]) ).
fof(f19033,plain,
( sdtpldt0(xx,smndt0(xx)) = sdtpldt0(sdtasdt0(sz00,xx),sz00)
| spl0_9 ),
inference(forward_demodulation,[],[f19026,f4673]) ).
fof(f19038,plain,
( sdtasdt0(sz00,xx) = sdtpldt0(xx,smndt0(xx))
| spl0_9 ),
inference(forward_demodulation,[],[f19033,f1318]) ).
fof(f19042,plain,
( sz00 = sdtasdt0(sz00,xx)
| spl0_9 ),
inference(forward_demodulation,[],[f19038,f121]) ).
fof(f19043,plain,
( $false
| spl0_2
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f19042,f88]) ).
fof(f19044,plain,
( spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f19043]) ).
fof(f19045,plain,
( aElement0(sz00)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f6199,f8057]) ).
fof(f19050,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f19045,f61]) ).
fof(f19051,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f19050]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f334]) ).
cnf(s6,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f6204]) ).
cnf(s13,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f19044]) ).
cnf(s14,plain,
~ spl0_8,
inference(sat_conversion,[],[f19051]) ).
cnf(s19,plain,
~ spl0_9,
inference(rat,[],[s6,s14]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s13,s19]) ).
cnf(s21,plain,
spl0_1,
inference(rat,[],[s2,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s20,s21]) ).
fof(f19057,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:11:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 3.11/0.94 % (3514148)Will run a generic schedule for satisfiability detection.
% 3.11/0.94 % (3514153)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=162159924_2999 on theBenchmark for (2999ds/0Mi)
% 3.11/0.94 % TRYING [1]
% 3.11/0.94 % TRYING [2]
% 3.11/0.94 % TRYING [3]
% 3.11/0.94 % TRYING [4]
% 3.11/0.94 % (3514154)% WARNING: option uhcvi not known.
% 3.11/0.94 % (3514158)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4240975318:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.11/0.94 % (3514155)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1699966635:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.11/0.94 % (3514156)dis+10_1_sil=32000:sp=arity:random_seed=826801940:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.11/0.94 % (3514157)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2562986145:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.11/0.94 % (3514159)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2018776217:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.11/0.94 % (3514154)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2576484115:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.11/0.94 % TRYING [5]
% 3.11/0.94 % TRYING [6]
% 3.11/0.94 % (3514156)Instruction limit reached!
% 3.11/0.94 % (3514156)------------------------------
% 3.11/0.94 % (3514156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514156)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514156)Termination reason: Instruction limit
% 3.11/0.94 % (3514156)Termination phase: Saturation
% 3.11/0.94 % (3514156)Time elapsed: 0.058 s
% 3.11/0.94 % (3514156)Peak memory usage: 12 MB
% 3.11/0.94 % (3514156)Instructions burned: 105 (million)
% 3.11/0.94 % (3514157)Instruction limit reached!
% 3.11/0.94 % (3514157)------------------------------
% 3.11/0.94 % (3514157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514157)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514157)Termination reason: Instruction limit
% 3.11/0.94 % (3514157)Termination phase: Saturation
% 3.11/0.94 % (3514157)Time elapsed: 0.065 s
% 3.11/0.94 % (3514157)Peak memory usage: 13 MB
% 3.11/0.94 % (3514157)Instructions burned: 116 (million)
% 3.11/0.94 % (3514158)Instruction limit reached!
% 3.11/0.94 % (3514158)------------------------------
% 3.11/0.94 % (3514158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514158)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514158)Termination reason: Instruction limit
% 3.11/0.94 % (3514158)Termination phase: Saturation
% 3.11/0.94 % (3514158)Time elapsed: 0.070 s
% 3.11/0.94 % (3514158)Peak memory usage: 13 MB
% 3.11/0.94 % (3514158)Instructions burned: 133 (million)
% 3.11/0.94 % (3514167)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2891823555:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.11/0.94 % TRYING [1]
% 3.11/0.94 % TRYING [2]
% 3.11/0.94 % TRYING [3]
% 3.11/0.94 % (3514168)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1142663768:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.11/0.94 % TRYING [4]
% 3.11/0.94 % (3514169)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=925975811:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.11/0.94 % (3514159)Instruction limit reached!
% 3.11/0.94 % (3514159)------------------------------
% 3.11/0.94 % (3514159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514159)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514159)Termination reason: Instruction limit
% 3.11/0.94 % (3514159)Termination phase: Saturation
% 3.11/0.94 % (3514159)Time elapsed: 0.096 s
% 3.11/0.94 % (3514159)Peak memory usage: 14 MB
% 3.11/0.94 % (3514159)Instructions burned: 160 (million)
% 3.11/0.94 % TRYING [7]
% 3.11/0.94 % TRYING [5]
% 3.11/0.94 % (3514173)ott-21_1_sil=16000:fs=off:random_seed=2597449551:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.11/0.94 % (3514168)Instruction limit reached!
% 3.11/0.94 % (3514168)------------------------------
% 3.11/0.94 % (3514168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514168)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514168)Termination reason: Instruction limit
% 3.11/0.94 % (3514168)Termination phase: Saturation
% 3.11/0.94 % (3514168)Time elapsed: 0.058 s
% 3.11/0.94 % (3514168)Peak memory usage: 12 MB
% 3.11/0.94 % (3514168)Instructions burned: 131 (million)
% 3.11/0.94 % TRYING [6]
% 3.11/0.94 % (3514175)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1879588993:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.11/0.94 % (3514173)Instruction limit reached!
% 3.11/0.94 % (3514173)------------------------------
% 3.11/0.94 % (3514173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514173)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514173)Termination reason: Instruction limit
% 3.11/0.94 % (3514173)Termination phase: Saturation
% 3.11/0.94 % (3514173)Time elapsed: 0.086 s
% 3.11/0.94 % (3514173)Peak memory usage: 13 MB
% 3.11/0.94 % (3514173)Instructions burned: 181 (million)
% 3.11/0.94 % (3514177)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3690483502:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.11/0.94 % TRYING [1]
% 3.11/0.94 % TRYING [2]
% 3.11/0.94 % TRYING [3]
% 3.11/0.94 % TRYING [8]
% 3.11/0.94 % TRYING [4]
% 3.11/0.94 % TRYING [7]
% 3.11/0.94 % TRYING [5]
% 3.11/0.94 % (3514167)Instruction limit reached!
% 3.11/0.94 % (3514167)------------------------------
% 3.11/0.94 % (3514167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514167)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514167)Termination reason: Instruction limit
% 3.11/0.94 % (3514167)Termination phase: Finite model building constraint generation
% 3.11/0.94 % (3514167)Time elapsed: 0.266 s
% 3.11/0.94 % (3514167)Peak memory usage: 30 MB
% 3.11/0.94 % (3514167)Instructions burned: 714 (million)
% 3.11/0.94 % (3514179)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1562965109:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.11/0.94 % (3514169)Instruction limit reached!
% 3.11/0.94 % (3514169)------------------------------
% 3.11/0.94 % (3514169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514169)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514169)Termination reason: Instruction limit
% 3.11/0.94 % (3514169)Termination phase: Saturation
% 3.11/0.94 % (3514169)Time elapsed: 0.358 s
% 3.11/0.94 % (3514169)Peak memory usage: 19 MB
% 3.11/0.94 % (3514169)Instructions burned: 684 (million)
% 3.11/0.94 % (3514175)Instruction limit reached!
% 3.11/0.94 % (3514175)------------------------------
% 3.11/0.94 % (3514175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514175)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514175)Termination reason: Instruction limit
% 3.11/0.94 % (3514175)Termination phase: Saturation
% 3.11/0.94 % (3514175)Time elapsed: 0.289 s
% 3.11/0.94 % (3514175)Peak memory usage: 14 MB
% 3.11/0.94 % (3514175)Instructions burned: 477 (million)
% 3.11/0.94 % (3514181)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2190923052:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.11/0.94 % (3514182)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2513297861:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 3.11/0.94 % TRYING [6]
% 3.11/0.94 % TRYING [9]
% 3.11/0.94 % (3514154) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3514148-3514154"...
% 3.11/0.94 % (3514154)...printing done.
% 3.11/0.94 % (3514154)Refutation found. Thanks to Tanya!
% 3.11/0.94 % SZS status Theorem for theBenchmark
% 3.11/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 3.11/0.94 % (3514154)------------------------------
% 3.11/0.94 % (3514154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.94 % (3514154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.94 % (3514154)CaDiCaL version: 2.1.3
% 3.11/0.94 % (3514154)Termination reason: Refutation
% 3.11/0.94 % (3514154)Time elapsed: 0.493 s
% 3.11/0.94 % (3514154)Peak memory usage: 21 MB
% 3.11/0.94 % (3514154)Instructions burned: 962 (million)
% 3.11/0.94 % (3514148)Success in time 0.531 s
% 3.11/0.94 % Vampire exiting
%------------------------------------------------------------------------------