%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV539-1.004 : 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 : n006.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 01:17:27 PM UTC 2026
% Result : Unsatisfiable 3.16s 1.09s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 15 unt; 3 def)
% Number of atoms : 101 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 55 ~; 45 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f3,axiom,
! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : store(store(X0,X1,X2),X1,X3) = store(X0,X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4] :
( store(store(X2,X0,X3),X1,X4) = store(store(X2,X1,X4),X0,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(f6,negated_conjecture,
store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i0)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2)) != store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i2)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3)),i2,select(store(store(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3)),i0)),i0,select(store(store(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(a1,i1,select(a1,i1)),i0)),i3)),i2)) != store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3)),i2)),i2,select(store(store(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(a1,i1,select(a1,i1)),i3,select(store(a1,i1,select(a1,i1)),i0)),i0,select(store(a1,i1,select(a1,i1)),i3)),i3)),i0)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f8,plain,
store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i0)),i0,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2)) != store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),
inference(forward_demodulation,[],[f7,f3]) ).
fof(f9,plain,
store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i0)),i0,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2)) != store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),
inference(forward_demodulation,[],[f8,f1]) ).
fof(f10,plain,
store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)) != store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i0)),i0,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f11,plain,
store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)) != store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)),
inference(forward_demodulation,[],[f10,f1]) ).
fof(f12,plain,
store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)) != store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)),
inference(forward_demodulation,[],[f11,f4]) ).
fof(f13,plain,
store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)) != store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)),
inference(forward_demodulation,[],[f12,f4]) ).
fof(f26,definition,
( spl0_1
<=> i0 = i2 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f28,plain,
( i0 = i2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f41,definition,
( spl0_4
<=> i0 = i3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f43,plain,
( i0 = i3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( store(store(store(X0,X1,X3),X4,X5),X1,X2) = store(store(X0,X1,X2),X4,X5)
| X1 = X4 ),
inference(superposition,[],[f5,f4]) ).
fof(f66,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i0,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3)),i0))
| i0 = i3 ),
inference(superposition,[],[f13,f5]) ).
fof(f67,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| i0 = i3 ),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f71,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| i0 = i3 ),
inference(forward_demodulation,[],[f67,f4]) ).
fof(f80,definition,
( spl0_7
<=> store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f71,f80,f41]) ).
fof(f90,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i0)),i0,select(a1,i0)) != store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i0))
| i0 = i2
| spl0_7 ),
inference(superposition,[],[f82,f2]) ).
fof(f91,plain,
( i0 = i2
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f90,f54]) ).
fof(f109,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f91,f80,f26]) ).
fof(f123,plain,
( store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f81,f43]) ).
fof(f126,plain,
( store(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f123,f4]) ).
fof(f129,plain,
( store(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f126,f4]) ).
fof(f132,plain,
( store(store(store(a1,i0,select(a1,i2)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) = store(store(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f129,f3]) ).
fof(f140,plain,
( store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i2,select(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i0))
| ~ spl0_4 ),
inference(superposition,[],[f13,f43]) ).
fof(f141,plain,
( store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f142,plain,
( store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f141,f4]) ).
fof(f143,plain,
( store(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f142,f4]) ).
fof(f144,plain,
( store(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(store(a1,i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f143,f4]) ).
fof(f145,plain,
( store(store(store(a1,i0,select(a1,i2)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f144,f3]) ).
fof(f146,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f145,f132]) ).
fof(f147,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f149,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0))
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f82,f28]) ).
fof(f155,plain,
( store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0))
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f149,f4]) ).
fof(f160,plain,
( store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)) != store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i0)),i0,select(a1,i0)),i0)),i0,select(a1,i0))
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f155,f3]) ).
fof(f166,plain,
( $false
| ~ spl0_1
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f160,f4]) ).
fof(f167,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f166]) ).
cnf(s6,plain,
( spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s11,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f109]) ).
cnf(s16,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f167]) ).
cnf(s20,plain,
~ spl0_7,
inference(rat,[],[s6,s16]) ).
cnf(s21,plain,
~ spl0_1,
inference(rat,[],[s18,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s11,s20,s21]) ).
fof(f172,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV539-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n006.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 11:37:40 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.16/1.09 % (3905218)Input is clausal, will run a generic CNF schedule.
% 3.16/1.09 % (3905224)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=867483624:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.16/1.09 % (3905227)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2495848399:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.16/1.09 % (3905228)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1930646991:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.16/1.09 % (3905229)dis-21_1_sil=8000:lcm=predicate:random_seed=1040152744:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.16/1.09 % (3905223)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=1079622927:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.16/1.09 % (3905225)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3696037156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.16/1.09 % (3905226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2096324589:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.16/1.09 % (3905229)Refutation not found, incomplete strategy
% 3.16/1.09 % (3905229)------------------------------
% 3.16/1.09 % (3905229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.09 % (3905229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.09 % (3905229)CaDiCaL version: 2.1.3
% 3.16/1.09 % (3905229)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.09 % (3905229)Time elapsed: 0.002 s
% 3.16/1.09 % (3905229)Peak memory usage: 88 MB
% 3.16/1.09 % (3905229)Instructions burned: 3 (million)
% 3.16/1.09 % (3905226)First to succeed.
% 3.16/1.09 % (3905226)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3905218"
% 3.16/1.09 % (3905227)Instruction limit reached!
% 3.16/1.09 % (3905227)------------------------------
% 3.16/1.09 % (3905227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.09 % (3905227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.09 % (3905227)CaDiCaL version: 2.1.3
% 3.16/1.09 % (3905227)Termination reason: Instruction limit
% 3.16/1.09 % (3905227)Termination phase: Saturation
% 3.16/1.09 % (3905227)Time elapsed: 0.055 s
% 3.16/1.09 % (3905227)Peak memory usage: 88 MB
% 3.16/1.09 % (3905227)Instructions burned: 115 (million)
% 3.16/1.09 % (3905228)Also succeeded, but the first one will report.
% 3.16/1.09 % (3905237)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3290388108:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.16/1.09 % (3905229)------------------------------
% 3.16/1.09 % (3905229)------------------------------
% 3.16/1.09 % (3905237)Also succeeded, but the first one will report.
% 3.16/1.09 % (3905226)Refutation found. Thanks to Tanya!
% 3.16/1.09 % SZS status Unsatisfiable for theBenchmark
% 3.16/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.28 % (3905226)------------------------------
% 3.68/1.28 % (3905226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.28 % (3905226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.28 % (3905226)CaDiCaL version: 2.1.3
% 3.68/1.28 % (3905226)Termination reason: Refutation
% 3.68/1.28 % (3905226)Time elapsed: 0.011 s
% 3.68/1.28 % (3905226)Peak memory usage: 89 MB
% 3.68/1.28 % (3905226)Instructions burned: 21 (million)
% 3.68/1.28 % (3905226)------------------------------
% 3.68/1.28 % (3905226)------------------------------
% 3.68/1.28 % (3905218)Success in time 0.441 s
% 3.68/1.28 % Vampire exiting
%------------------------------------------------------------------------------