%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP774+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 10:18:45 AM UTC 2026
% Result : Theorem 44.75s 7.75s
% Output : Refutation 44.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 133 ( 94 unt; 2 def)
% Number of atoms : 197 ( 121 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 118 ( 54 ~; 48 |; 13 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 156 ( 148 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] :
( d(X0,X1)
<=> ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(f4,conjecture,
! [X0,X1,X2,X3] :
( ( d(X0,X1)
& d(X2,X3) )
=> d(product(X0,X2),product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( d(X0,X1)
& d(X2,X3) )
=> d(product(X0,X2),product(X1,X3)) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
? [X0,X1,X2,X3] :
( ~ d(product(X0,X2),product(X1,X3))
& d(X0,X1)
& d(X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0,X1,X2,X3] :
( ~ d(product(X0,X2),product(X1,X3))
& d(X0,X1)
& d(X2,X3) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ( d(X0,X1)
| product(X0,product(X1,X0)) != X0
| product(X1,product(X0,X1)) != X1 )
& ( ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 )
| ~ d(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( ( d(X0,X1)
| product(X0,product(X1,X0)) != X0
| product(X1,product(X0,X1)) != X1 )
& ( ( product(X0,product(X1,X0)) = X0
& product(X1,product(X0,X1)) = X1 )
| ~ d(X0,X1) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ~ d(product(sK0,sK2),product(sK1,sK3))
& d(sK0,sK1)
& d(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f7]) ).
fof(f11,plain,
! [X2,X0,X1] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(X1,product(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(X0,product(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| d(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
d(sK2,sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
d(sK0,sK1),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
~ d(product(sK0,sK2),product(sK1,sK3)),
inference(cnf_transformation,[],[f10]) ).
fof(f19,definition,
sF4 = product(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
product(sK0,sK2) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = product(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
product(sK1,sK3) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
~ d(sF4,sF5),
inference(definition_folding,[],[f18,f22,f20]) ).
fof(f24,plain,
sK3 = product(sK3,product(sK2,sK3)),
inference(resolution,[],[f13,f16]) ).
fof(f25,plain,
sK1 = product(sK1,product(sK0,sK1)),
inference(resolution,[],[f13,f17]) ).
fof(f26,plain,
sK2 = product(sK2,product(sK3,sK2)),
inference(resolution,[],[f14,f16]) ).
fof(f27,plain,
sK0 = product(sK0,product(sK1,sK0)),
inference(resolution,[],[f14,f17]) ).
fof(f28,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X0,X1)),
inference(superposition,[],[f11,f12]) ).
fof(f30,plain,
! [X0] : product(sK0,product(sK2,X0)) = product(sF4,X0),
inference(superposition,[],[f11,f20]) ).
fof(f31,plain,
! [X0] : product(sK1,product(sK3,X0)) = product(sF5,X0),
inference(superposition,[],[f11,f22]) ).
fof(f32,plain,
! [X0] : product(sK3,X0) = product(sK3,product(product(sK2,sK3),X0)),
inference(superposition,[],[f11,f24]) ).
fof(f34,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(superposition,[],[f12,f11]) ).
fof(f35,plain,
! [X0] : product(sK3,X0) = product(sK3,product(sK2,product(sK3,X0))),
inference(forward_demodulation,[],[f32,f11]) ).
fof(f38,plain,
! [X0] : product(sK1,product(product(sK0,sK1),X0)) = product(sK1,X0),
inference(superposition,[],[f11,f25]) ).
fof(f39,plain,
! [X0] : product(sK1,X0) = product(sK1,product(sK0,product(sK1,X0))),
inference(forward_demodulation,[],[f38,f11]) ).
fof(f41,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != X2
| product(X0,X1) != product(product(X0,X1),product(X2,product(X0,X1)))
| d(product(X0,X1),X2) ),
inference(superposition,[],[f15,f11]) ).
fof(f46,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| product(X2,product(product(X0,X1),X2)) != X2
| d(X2,product(X0,X1)) ),
inference(superposition,[],[f15,f11]) ).
fof(f52,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| product(X2,product(X0,product(X1,X2))) != X2
| d(X2,product(X0,X1)) ),
inference(forward_demodulation,[],[f46,f11]) ).
fof(f57,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| product(X2,product(X0,product(X1,X2))) != X2
| d(product(X0,X1),X2) ),
inference(forward_demodulation,[],[f41,f11]) ).
fof(f77,plain,
! [X0] : product(sK2,X0) = product(sK2,product(product(sK3,sK2),X0)),
inference(superposition,[],[f11,f26]) ).
fof(f79,plain,
! [X0] : product(sK2,X0) = product(sK2,product(sK3,product(sK2,X0))),
inference(forward_demodulation,[],[f77,f11]) ).
fof(f91,plain,
! [X0] : product(sK0,product(product(sK1,sK0),X0)) = product(sK0,X0),
inference(superposition,[],[f11,f27]) ).
fof(f93,plain,
! [X0] : product(sK0,X0) = product(sK0,product(sK1,product(sK0,X0))),
inference(forward_demodulation,[],[f91,f11]) ).
fof(f126,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(superposition,[],[f11,f28]) ).
fof(f128,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f126,f11]) ).
fof(f141,plain,
product(sK0,sK2) = product(sF4,product(sK3,sK2)),
inference(superposition,[],[f30,f26]) ).
fof(f153,plain,
sF4 = product(sF4,product(sK3,sK2)),
inference(forward_demodulation,[],[f141,f20]) ).
fof(f163,plain,
product(sK1,sK3) = product(sF5,product(sK2,sK3)),
inference(superposition,[],[f31,f24]) ).
fof(f175,plain,
sF5 = product(sF5,product(sK2,sK3)),
inference(forward_demodulation,[],[f163,f22]) ).
fof(f181,plain,
! [X0] : product(sF4,X0) = product(sF4,product(product(sK3,sK2),X0)),
inference(superposition,[],[f11,f153]) ).
fof(f182,plain,
! [X0] : product(sF4,X0) = product(sF4,product(sK3,product(sK2,X0))),
inference(forward_demodulation,[],[f181,f11]) ).
fof(f201,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(X2,product(X0,product(X1,product(X2,product(X0,X1))))),
inference(superposition,[],[f34,f11]) ).
fof(f210,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X0,X1))
| product(X0,product(product(X1,product(X0,X1)),X0)) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(superposition,[],[f15,f34]) ).
fof(f223,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| product(X0,product(product(X1,product(X0,X1)),X0)) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f210,f11]) ).
fof(f241,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| product(X0,product(product(X1,product(X0,X1)),X0)) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f223,f12]) ).
fof(f242,plain,
! [X0,X1] :
( product(X0,product(product(X1,product(X0,X1)),X0)) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f251,plain,
! [X0,X1] :
( product(X0,product(X1,product(product(X0,X1),X0))) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f242,f11]) ).
fof(f252,plain,
! [X0,X1] :
( product(X0,product(X1,product(X0,product(X1,X0)))) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f251,f11]) ).
fof(f253,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| d(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f252,f128]) ).
fof(f257,plain,
! [X0] : product(sF5,X0) = product(sF5,product(product(sK2,sK3),X0)),
inference(superposition,[],[f11,f175]) ).
fof(f258,plain,
! [X0] : product(sF5,X0) = product(sF5,product(sK2,product(sK3,X0))),
inference(forward_demodulation,[],[f257,f11]) ).
fof(f286,plain,
sF5 = product(sK1,product(sK0,sF5)),
inference(superposition,[],[f39,f22]) ).
fof(f289,plain,
! [X0] : product(sF5,X0) = product(sK1,product(sK0,product(sF5,X0))),
inference(superposition,[],[f39,f31]) ).
fof(f338,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,product(X1,X0)))
| product(X0,product(X1,product(X0,X0))) != X0
| d(X0,product(X1,X0)) ),
inference(superposition,[],[f52,f28]) ).
fof(f363,plain,
! [X0,X1] :
( product(X0,product(X1,product(X0,X0))) != X0
| d(X0,product(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f338,f34]) ).
fof(f399,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| d(X0,product(X1,X0)) ),
inference(forward_demodulation,[],[f363,f12]) ).
fof(f502,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| product(X0,product(X1,product(product(X0,X1),X0))) != X0
| d(product(X1,product(X0,X1)),X0) ),
inference(superposition,[],[f57,f34]) ).
fof(f561,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| product(X0,product(X1,product(product(X0,X1),X0))) != X0
| d(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f502,f12]) ).
fof(f562,plain,
! [X0,X1] :
( product(X0,product(X1,product(product(X0,X1),X0))) != X0
| d(product(X1,product(X0,X1)),X0) ),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f600,plain,
! [X0,X1] :
( product(X0,product(X1,product(X0,product(X1,X0)))) != X0
| d(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f562,f11]) ).
fof(f634,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| d(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f600,f128]) ).
fof(f766,plain,
sF4 = product(sK0,product(sK1,sF4)),
inference(superposition,[],[f93,f20]) ).
fof(f1383,plain,
product(sK1,product(sK0,sF5)) = product(sF5,product(sK0,sF5)),
inference(superposition,[],[f289,f34]) ).
fof(f1410,plain,
sF5 = product(sF5,product(sK0,sF5)),
inference(forward_demodulation,[],[f1383,f286]) ).
fof(f1726,plain,
( product(sK1,sF4) != product(product(sK1,sF4),sF4)
| d(product(sK1,sF4),sF4) ),
inference(superposition,[],[f399,f766]) ).
fof(f1790,plain,
( product(sK1,sF4) != product(sK1,product(sF4,sF4))
| d(product(sK1,sF4),sF4) ),
inference(forward_demodulation,[],[f1726,f11]) ).
fof(f1808,plain,
( product(sK1,sF4) != product(sK1,sF4)
| d(product(sK1,sF4),sF4) ),
inference(forward_demodulation,[],[f1790,f12]) ).
fof(f1809,plain,
d(product(sK1,sF4),sF4),
inference(trivial_inequality_removal,[],[f1808]) ).
fof(f2114,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X0,X1))
| d(product(X1,product(X0,X1)),product(X0,product(product(X1,product(X0,X1)),X0))) ),
inference(superposition,[],[f253,f34]) ).
fof(f2211,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| d(product(X1,product(X0,X1)),product(X0,product(product(X1,product(X0,X1)),X0))) ),
inference(forward_demodulation,[],[f2114,f11]) ).
fof(f2261,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| d(product(X1,product(X0,X1)),product(X0,product(product(X1,product(X0,X1)),X0))) ),
inference(forward_demodulation,[],[f2211,f12]) ).
fof(f2262,plain,
! [X0,X1] : d(product(X1,product(X0,X1)),product(X0,product(product(X1,product(X0,X1)),X0))),
inference(trivial_inequality_removal,[],[f2261]) ).
fof(f2291,plain,
! [X0,X1] : d(product(X1,product(X0,X1)),product(X0,product(X1,product(product(X0,X1),X0)))),
inference(forward_demodulation,[],[f2262,f11]) ).
fof(f2313,plain,
! [X0,X1] : d(product(X1,product(X0,X1)),product(X0,product(X1,product(X0,product(X1,X0))))),
inference(forward_demodulation,[],[f2291,f11]) ).
fof(f2330,plain,
! [X0,X1] : d(product(X1,product(X0,X1)),product(X0,product(X1,X0))),
inference(forward_demodulation,[],[f2313,f128]) ).
fof(f2332,plain,
sF4 = product(sF4,product(product(sK1,sF4),sF4)),
inference(resolution,[],[f1809,f13]) ).
fof(f2333,plain,
sF4 = product(sF4,product(sK1,product(sF4,sF4))),
inference(forward_demodulation,[],[f2332,f11]) ).
fof(f2335,plain,
sF4 = product(sF4,product(sK1,sF4)),
inference(forward_demodulation,[],[f2333,f12]) ).
fof(f2664,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| d(product(X0,product(product(X1,product(X0,product(X1,X2))),X0)),product(X1,product(X0,product(X1,X2)))) ),
inference(superposition,[],[f634,f128]) ).
fof(f2702,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| d(product(X0,product(product(X1,product(X0,product(X1,X2))),X0)),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2664,f11]) ).
fof(f2739,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,X2)))
| d(product(X0,product(product(X1,product(X0,product(X1,X2))),X0)),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2702,f12]) ).
fof(f2740,plain,
! [X2,X0,X1] : d(product(X0,product(product(X1,product(X0,product(X1,X2))),X0)),product(X1,product(X0,product(X1,X2)))),
inference(trivial_inequality_removal,[],[f2739]) ).
fof(f2764,plain,
! [X2,X0,X1] : d(product(X0,product(X1,product(product(X0,product(X1,X2)),X0))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2740,f11]) ).
fof(f2778,plain,
! [X2,X0,X1] : d(product(X0,product(X1,product(X0,product(product(X1,X2),X0)))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2764,f11]) ).
fof(f2791,plain,
! [X2,X0,X1] : d(product(X0,product(X1,product(X0,product(X1,product(X2,X0))))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2778,f11]) ).
fof(f2800,plain,
! [X2,X0,X1] : d(product(X0,product(X1,product(X2,X0))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2791,f128]) ).
fof(f2970,plain,
! [X0] : product(sK3,product(sK2,product(sK3,X0))) = product(sK3,product(X0,product(sK2,product(sK3,X0)))),
inference(superposition,[],[f35,f201]) ).
fof(f2978,plain,
! [X0] : product(sK2,product(sK3,product(sK2,X0))) = product(sK2,product(X0,product(sK3,product(sK2,X0)))),
inference(superposition,[],[f79,f201]) ).
fof(f2997,plain,
! [X0] : product(sK2,X0) = product(sK2,product(X0,product(sK3,product(sK2,X0)))),
inference(forward_demodulation,[],[f2978,f79]) ).
fof(f3003,plain,
! [X0] : product(sK3,X0) = product(sK3,product(X0,product(sK2,product(sK3,X0)))),
inference(forward_demodulation,[],[f2970,f35]) ).
fof(f7619,plain,
product(sK2,sK1) = product(sK2,product(sF5,product(sK2,sK1))),
inference(superposition,[],[f2997,f31]) ).
fof(f7899,plain,
product(sK3,sK0) = product(sK3,product(sF4,product(sK3,sK0))),
inference(superposition,[],[f3003,f30]) ).
fof(f13644,plain,
product(sF4,product(sK3,product(sK2,sK1))) = product(sF4,product(sF5,product(sK2,sK1))),
inference(superposition,[],[f182,f7619]) ).
fof(f13729,plain,
product(sF4,sK1) = product(sF4,product(sF5,product(sK2,sK1))),
inference(forward_demodulation,[],[f13644,f182]) ).
fof(f13988,plain,
product(sF5,product(sK2,product(sK3,sK0))) = product(sF5,product(sF4,product(sK3,sK0))),
inference(superposition,[],[f258,f7899]) ).
fof(f14071,plain,
product(sF5,sK0) = product(sF5,product(sF4,product(sK3,sK0))),
inference(forward_demodulation,[],[f13988,f258]) ).
fof(f19558,plain,
! [X0] : product(sF4,product(product(sF5,product(sK2,sK1)),X0)) = product(product(sF4,sK1),X0),
inference(superposition,[],[f11,f13729]) ).
fof(f19605,plain,
! [X0] : product(sF4,product(sK1,X0)) = product(sF4,product(product(sF5,product(sK2,sK1)),X0)),
inference(forward_demodulation,[],[f19558,f11]) ).
fof(f19649,plain,
! [X0] : product(sF4,product(sK1,X0)) = product(sF4,product(sF5,product(product(sK2,sK1),X0))),
inference(forward_demodulation,[],[f19605,f11]) ).
fof(f19684,plain,
! [X0] : product(sF4,product(sK1,X0)) = product(sF4,product(sF5,product(sK2,product(sK1,X0)))),
inference(forward_demodulation,[],[f19649,f11]) ).
fof(f20399,plain,
! [X0] : product(sF5,product(product(sF4,product(sK3,sK0)),X0)) = product(product(sF5,sK0),X0),
inference(superposition,[],[f11,f14071]) ).
fof(f20446,plain,
! [X0] : product(sF5,product(sK0,X0)) = product(sF5,product(product(sF4,product(sK3,sK0)),X0)),
inference(forward_demodulation,[],[f20399,f11]) ).
fof(f20488,plain,
! [X0] : product(sF5,product(sK0,X0)) = product(sF5,product(sF4,product(product(sK3,sK0),X0))),
inference(forward_demodulation,[],[f20446,f11]) ).
fof(f20521,plain,
! [X0] : product(sF5,product(sK0,X0)) = product(sF5,product(sF4,product(sK3,product(sK0,X0)))),
inference(forward_demodulation,[],[f20488,f11]) ).
fof(f25275,plain,
d(product(sF4,product(sF5,product(product(sK2,sK1),sF4))),product(sF5,product(sF4,sK1))),
inference(superposition,[],[f2800,f13729]) ).
fof(f25287,plain,
d(product(sF5,product(sF4,product(product(sK3,sK0),sF5))),product(sF4,product(sF5,sK0))),
inference(superposition,[],[f2800,f14071]) ).
fof(f25323,plain,
d(product(sF5,product(sF4,product(sK3,product(sK0,sF5)))),product(sF4,product(sF5,sK0))),
inference(forward_demodulation,[],[f25287,f11]) ).
fof(f25335,plain,
d(product(sF4,product(sF5,product(sK2,product(sK1,sF4)))),product(sF5,product(sF4,sK1))),
inference(forward_demodulation,[],[f25275,f11]) ).
fof(f25568,plain,
d(product(sF5,product(sK0,sF5)),product(sF4,product(sF5,sK0))),
inference(forward_demodulation,[],[f25323,f20521]) ).
fof(f25577,plain,
d(product(sF4,product(sK1,sF4)),product(sF5,product(sF4,sK1))),
inference(forward_demodulation,[],[f25335,f19684]) ).
fof(f25763,plain,
d(sF5,product(sF4,product(sF5,sK0))),
inference(forward_demodulation,[],[f25568,f1410]) ).
fof(f25766,plain,
d(sF4,product(sF5,product(sF4,sK1))),
inference(forward_demodulation,[],[f25577,f2335]) ).
fof(f31999,plain,
sF5 = product(sF5,product(product(sF4,product(sF5,sK0)),sF5)),
inference(resolution,[],[f25763,f14]) ).
fof(f32002,plain,
sF5 = product(sF5,product(sF4,product(product(sF5,sK0),sF5))),
inference(forward_demodulation,[],[f31999,f11]) ).
fof(f32004,plain,
sF5 = product(sF5,product(sF4,product(sF5,product(sK0,sF5)))),
inference(forward_demodulation,[],[f32002,f11]) ).
fof(f32005,plain,
sF5 = product(sF5,product(sF4,sF5)),
inference(forward_demodulation,[],[f32004,f1410]) ).
fof(f32339,plain,
sF4 = product(sF4,product(product(sF5,product(sF4,sK1)),sF4)),
inference(resolution,[],[f25766,f14]) ).
fof(f32342,plain,
sF4 = product(sF4,product(sF5,product(product(sF4,sK1),sF4))),
inference(forward_demodulation,[],[f32339,f11]) ).
fof(f32344,plain,
sF4 = product(sF4,product(sF5,product(sF4,product(sK1,sF4)))),
inference(forward_demodulation,[],[f32342,f11]) ).
fof(f32345,plain,
sF4 = product(sF4,product(sF5,sF4)),
inference(forward_demodulation,[],[f32344,f2335]) ).
fof(f33452,plain,
d(product(sF4,product(sF5,sF4)),sF5),
inference(superposition,[],[f2330,f32005]) ).
fof(f33570,plain,
d(sF4,sF5),
inference(forward_demodulation,[],[f33452,f32345]) ).
fof(f33616,plain,
$false,
inference(forward_subsumption_resolution,[],[f33570,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP774+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.46 % Computer : n015.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 10:47:15 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.52 Running first-order model finding
% 0.24/0.52 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
% 19.76/3.31 % (1469996)Will run a generic schedule for satisfiability detection.
% 19.76/3.31 % (1470006)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=147975046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 19.76/3.31 % (1470001)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1203187_2999 on theBenchmark for (2999ds/0Mi)
% 19.76/3.31 % (1470004)dis+10_1_sil=32000:sp=arity:random_seed=1115415849:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 19.76/3.31 % (1470003)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3766214104:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 19.76/3.31 % (1470005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=112250887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 19.76/3.31 % (1470007)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=976073195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 19.76/3.31 % TRYING [1]
% 19.76/3.31 % TRYING [2]
% 19.76/3.31 % TRYING [3]
% 19.76/3.31 % TRYING [4]
% 19.76/3.31 % TRYING [5]
% 19.76/3.31 % (1470002)% WARNING: option uhcvi not known.
% 19.76/3.31 % (1470002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1045160333:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 19.76/3.31 % (1470006)Instruction limit reached!
% 19.76/3.31 % (1470006)------------------------------
% 19.76/3.31 % (1470006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.76/3.31 % (1470006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.31 % (1470006)CaDiCaL version: 2.1.3
% 19.76/3.31 % (1470006)Termination reason: Instruction limit
% 19.76/3.31 % (1470006)Termination phase: Saturation
% 19.76/3.31 % (1470006)Time elapsed: 0.063 s
% 19.76/3.31 % (1470006)Peak memory usage: 12 MB
% 19.76/3.31 % (1470006)Instructions burned: 133 (million)
% 19.76/3.31 % (1470015)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1652215628:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 19.76/3.31 % TRYING [1]
% 19.76/3.31 % TRYING [2]
% 19.76/3.31 % TRYING [3]
% 19.76/3.31 % TRYING [4]
% 19.76/3.31 % TRYING [6]
% 19.76/3.31 % (1470004)Instruction limit reached!
% 19.76/3.31 % (1470004)------------------------------
% 19.76/3.31 % (1470004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.76/3.31 % (1470004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.31 % (1470004)CaDiCaL version: 2.1.3
% 19.76/3.31 % (1470004)Termination reason: Instruction limit
% 19.76/3.31 % (1470004)Termination phase: Saturation
% 19.76/3.31 % (1470004)Time elapsed: 0.091 s
% 19.76/3.31 % (1470004)Peak memory usage: 12 MB
% 19.76/3.31 % (1470004)Instructions burned: 103 (million)
% 19.76/3.31 % TRYING [5]
% 19.76/3.31 % (1470005)Instruction limit reached!
% 19.76/3.31 % (1470005)------------------------------
% 19.76/3.31 % (1470005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.76/3.31 % (1470005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.31 % (1470005)CaDiCaL version: 2.1.3
% 19.76/3.31 % (1470005)Termination reason: Instruction limit
% 19.76/3.31 % (1470005)Termination phase: Saturation
% 19.76/3.31 % (1470005)Time elapsed: 0.105 s
% 19.76/3.31 % (1470005)Peak memory usage: 13 MB
% 19.76/3.31 % (1470005)Instructions burned: 117 (million)
% 19.76/3.31 % (1470017)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2664243440:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 19.76/3.31 % (1470018)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=4083219576:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 19.76/3.31 % TRYING [6]
% 19.76/3.31 % (1470007)Instruction limit reached!
% 19.76/3.31 % (1470007)------------------------------
% 19.76/3.31 % (1470007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.76/3.31 % (1470007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/3.31 % (1470007)CaDiCaL version: 2.1.3
% 19.76/3.31 % (1470007)Termination reason: Instruction limit
% 19.76/3.31 % (1470007)Termination phase: Saturation
% 19.76/3.31 % (1470007)Time elapsed: 0.176 s
% 19.76/3.31 % (1470007)Peak memory usage: 13 MB
% 19.76/3.31 % (1470007)Instructions burned: 160 (million)
% 19.76/3.31 % (1470021)ott-21_1_sil=16000:fs=off:random_seed=2140059903:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 19.76/3.31 % (1470017)Instruction limit reached!
% 19.76/3.31 % (1470017)------------------------------
% 19.76/3.31 % (1470017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.74 % (1470017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.74 % (1470017)CaDiCaL version: 2.1.3
% 44.75/7.74 % (1470017)Termination reason: Instruction limit
% 44.75/7.74 % (1470017)Termination phase: Saturation
% 44.75/7.74 % (1470017)Time elapsed: 0.120 s
% 44.75/7.74 % (1470017)Peak memory usage: 12 MB
% 44.75/7.74 % (1470017)Instructions burned: 131 (million)
% 44.75/7.74 % (1470023)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2760745865:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.75/7.74 % TRYING [7]
% 44.75/7.74 % (1470021)Instruction limit reached!
% 44.75/7.74 % (1470021)------------------------------
% 44.75/7.74 % (1470021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.74 % (1470021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.74 % (1470021)CaDiCaL version: 2.1.3
% 44.75/7.74 % (1470021)Termination reason: Instruction limit
% 44.75/7.74 % (1470021)Termination phase: Saturation
% 44.75/7.74 % (1470021)Time elapsed: 0.139 s
% 44.75/7.74 % (1470021)Peak memory usage: 11 MB
% 44.75/7.74 % (1470021)Instructions burned: 180 (million)
% 44.75/7.75 % TRYING [7]
% 44.75/7.75 % (1470015)Instruction limit reached!
% 44.75/7.75 % (1470015)------------------------------
% 44.75/7.75 % (1470015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470015)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470015)Termination reason: Instruction limit
% 44.75/7.75 % (1470015)Termination phase: Finite model building constraint generation
% 44.75/7.75 % (1470015)Time elapsed: 0.321 s
% 44.75/7.75 % (1470015)Peak memory usage: 17 MB
% 44.75/7.75 % (1470015)Instructions burned: 714 (million)
% 44.75/7.75 % (1470025)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3164026361:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 44.75/7.75 % TRYING [1]
% 44.75/7.75 % TRYING [2]
% 44.75/7.75 % TRYING [3]
% 44.75/7.75 % TRYING [4]
% 44.75/7.75 % (1470026)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3217814283:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 44.75/7.75 % TRYING [5]
% 44.75/7.75 % TRYING [6]
% 44.75/7.75 % TRYING [7]
% 44.75/7.75 % (1470023)Instruction limit reached!
% 44.75/7.75 % (1470023)------------------------------
% 44.75/7.75 % (1470023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470023)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470023)Termination reason: Instruction limit
% 44.75/7.75 % (1470023)Termination phase: Saturation
% 44.75/7.75 % (1470023)Time elapsed: 0.455 s
% 44.75/7.75 % (1470023)Peak memory usage: 16 MB
% 44.75/7.75 % (1470023)Instructions burned: 477 (million)
% 44.75/7.75 % (1470018)Instruction limit reached!
% 44.75/7.75 % (1470018)------------------------------
% 44.75/7.75 % (1470018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470018)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470018)Termination reason: Instruction limit
% 44.75/7.75 % (1470018)Termination phase: Saturation
% 44.75/7.75 % (1470018)Time elapsed: 0.629 s
% 44.75/7.75 % (1470018)Peak memory usage: 18 MB
% 44.75/7.75 % (1470018)Instructions burned: 684 (million)
% 44.75/7.75 % (1470030)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4239123026:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 44.75/7.75 % (1470031)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=1315823934:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 44.75/7.75 % TRYING [14]
% 44.75/7.75 % (1470026)Instruction limit reached!
% 44.75/7.75 % (1470026)------------------------------
% 44.75/7.75 % (1470026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470026)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470026)Termination reason: Instruction limit
% 44.75/7.75 % (1470026)Termination phase: Saturation
% 44.75/7.75 % (1470026)Time elapsed: 0.568 s
% 44.75/7.75 % (1470026)Peak memory usage: 19 MB
% 44.75/7.75 % (1470026)Instructions burned: 1179 (million)
% 44.75/7.75 % (1470025)Instruction limit reached!
% 44.75/7.75 % (1470025)------------------------------
% 44.75/7.75 % (1470025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470025)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470025)Termination reason: Instruction limit
% 44.75/7.75 % (1470025)Termination phase: Finite model building SAT solving
% 44.75/7.75 % (1470025)Time elapsed: 0.619 s
% 44.75/7.75 % (1470025)Peak memory usage: 17 MB
% 44.75/7.75 % (1470025)Instructions burned: 866 (million)
% 44.75/7.75 % (1470034)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=736998449:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 44.75/7.75 % TRYING [8]
% 44.75/7.75 % (1470035)fmb+10_1_sil=64000:random_seed=1288061136:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 44.75/7.75 % TRYING [1]
% 44.75/7.75 % TRYING [2]
% 44.75/7.75 % TRYING [3]
% 44.75/7.75 % TRYING [4]
% 44.75/7.75 % TRYING [5]
% 44.75/7.75 % TRYING [6]
% 44.75/7.75 % TRYING [7]
% 44.75/7.75 % (1470030)Instruction limit reached!
% 44.75/7.75 % (1470030)------------------------------
% 44.75/7.75 % (1470030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470030)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470030)Termination reason: Instruction limit
% 44.75/7.75 % (1470030)Termination phase: Finite model building constraint generation
% 44.75/7.75 % (1470030)Time elapsed: 0.639 s
% 44.75/7.75 % (1470030)Peak memory usage: 79 MB
% 44.75/7.75 % (1470030)Instructions burned: 890 (million)
% 44.75/7.75 % (1470034)Instruction limit reached!
% 44.75/7.75 % (1470034)------------------------------
% 44.75/7.75 % (1470034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470034)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470034)Termination reason: Instruction limit
% 44.75/7.75 % (1470034)Termination phase: Saturation
% 44.75/7.75 % (1470034)Time elapsed: 0.422 s
% 44.75/7.75 % (1470034)Peak memory usage: 18 MB
% 44.75/7.75 % (1470034)Instructions burned: 879 (million)
% 44.75/7.75 % (1470031)Instruction limit reached!
% 44.75/7.75 % (1470031)------------------------------
% 44.75/7.75 % (1470031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470031)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470031)Termination reason: Instruction limit
% 44.75/7.75 % (1470031)Termination phase: Saturation
% 44.75/7.75 % (1470031)Time elapsed: 0.651 s
% 44.75/7.75 % (1470031)Peak memory usage: 18 MB
% 44.75/7.75 % (1470031)Instructions burned: 693 (million)
% 44.75/7.75 % (1470039)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1484546217:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 44.75/7.75 % TRYING [8]
% 44.75/7.75 % (1470038)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2406395882:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 44.75/7.75 % TRYING [20]
% 44.75/7.75 % (1470040)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=713103937:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 44.75/7.75 % TRYING [8]
% 44.75/7.75 % (1470039)Instruction limit reached!
% 44.75/7.75 % (1470039)------------------------------
% 44.75/7.75 % (1470039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470039)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470039)Termination reason: Instruction limit
% 44.75/7.75 % (1470039)Termination phase: Finite model building SAT solving
% 44.75/7.75 % (1470039)Time elapsed: 0.470 s
% 44.75/7.75 % (1470039)Peak memory usage: 30 MB
% 44.75/7.75 % (1470039)Instructions burned: 922 (million)
% 44.75/7.75 % (1470044)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=65152863:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 44.75/7.75 % (1470044)Instruction limit reached!
% 44.75/7.75 % (1470044)------------------------------
% 44.75/7.75 % (1470044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470044)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470044)Termination reason: Instruction limit
% 44.75/7.75 % (1470044)Termination phase: Saturation
% 44.75/7.75 % (1470044)Time elapsed: 0.717 s
% 44.75/7.75 % (1470044)Peak memory usage: 26 MB
% 44.75/7.75 % (1470044)Instructions burned: 1473 (million)
% 44.75/7.75 % (1470046)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3882421383:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 44.75/7.75 % TRYING [77]
% 44.75/7.75 % TRYING [9]
% 44.75/7.75 % TRYING [9]
% 44.75/7.75 % (1470046)Instruction limit reached!
% 44.75/7.75 % (1470046)------------------------------
% 44.75/7.75 % (1470046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470046)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470046)Termination reason: Instruction limit
% 44.75/7.75 % (1470046)Termination phase: Finite model building constraint generation
% 44.75/7.75 % (1470046)Time elapsed: 2.372 s
% 44.75/7.75 % (1470046)Peak memory usage: 423 MB
% 44.75/7.75 % (1470046)Instructions burned: 6326 (million)
% 44.75/7.75 % (1470048)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=423176361:fmbsr=2.30978:i=2174_2947 on theBenchmark for (2947ds/2174Mi)
% 44.75/7.75 % TRYING [16]
% 44.75/7.75 % (1470048)Instruction limit reached!
% 44.75/7.75 % (1470048)------------------------------
% 44.75/7.75 % (1470048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470048)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470048)Termination reason: Instruction limit
% 44.75/7.75 % (1470048)Termination phase: Finite model building constraint generation
% 44.75/7.75 % (1470048)Time elapsed: 0.749 s
% 44.75/7.75 % (1470048)Peak memory usage: 135 MB
% 44.75/7.75 % (1470048)Instructions burned: 2174 (million)
% 44.75/7.75 % (1470040)Instruction limit reached!
% 44.75/7.75 % (1470040)------------------------------
% 44.75/7.75 % (1470040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470040)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470040)Termination reason: Instruction limit
% 44.75/7.75 % (1470040)Termination phase: Saturation
% 44.75/7.75 % (1470040)Time elapsed: 4.455 s
% 44.75/7.75 % (1470040)Peak memory usage: 46 MB
% 44.75/7.75 % (1470040)Instructions burned: 5131 (million)
% 44.75/7.75 % (1470050)ott-2_1_sil=16000:newcnf=on:random_seed=398641070:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2939 on theBenchmark for (2939ds/869Mi)
% 44.75/7.75 % (1470051)ott+10_1_sil=32000:tgt=ground:random_seed=2213801261:i=5114:av=off_2939 on theBenchmark for (2939ds/5114Mi)
% 44.75/7.75 % (1470050)Instruction limit reached!
% 44.75/7.75 % (1470050)------------------------------
% 44.75/7.75 % (1470050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470050)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470050)Termination reason: Instruction limit
% 44.75/7.75 % (1470050)Termination phase: Saturation
% 44.75/7.75 % (1470050)Time elapsed: 0.451 s
% 44.75/7.75 % (1470050)Peak memory usage: 17 MB
% 44.75/7.75 % (1470050)Instructions burned: 871 (million)
% 44.75/7.75 % (1470054)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4202979616:i=54282_2935 on theBenchmark for (2935ds/54282Mi)
% 44.75/7.75 % TRYING [1]
% 44.75/7.75 % TRYING [2]
% 44.75/7.75 % TRYING [3]
% 44.75/7.75 % TRYING [4]
% 44.75/7.75 % TRYING [5]
% 44.75/7.75 % TRYING [6]
% 44.75/7.75 % TRYING [7]
% 44.75/7.75 % (1470051) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1469996-1470051"...
% 44.75/7.75 % (1470051)...printing done.
% 44.75/7.75 % (1470051)Refutation found. Thanks to Tanya!
% 44.75/7.75 % SZS status Theorem for theBenchmark
% 44.75/7.75 % SZS output start Proof for theBenchmark
% See solution above
% 44.75/7.75 % (1470051)------------------------------
% 44.75/7.75 % (1470051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.75/7.75 % (1470051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.75 % (1470051)CaDiCaL version: 2.1.3
% 44.75/7.75 % (1470051)Termination reason: Refutation
% 44.75/7.75 % (1470051)Time elapsed: 0.975 s
% 44.75/7.75 % (1470051)Peak memory usage: 19 MB
% 44.75/7.75 % (1470051)Instructions burned: 1082 (million)
% 44.75/7.75 % (1469996)Success in time 7.213 s
% 44.75/7.75 % Vampire exiting
%------------------------------------------------------------------------------