%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW198+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:39:36 PM UTC 2026
% Result : Theorem 11.29s 3.54s
% Output : Refutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 36 unt; 0 def)
% Number of atoms : 58 ( 44 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 10 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 42 ( 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_o) ).
fof(f49,axiom,
! [X0] :
( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
<=> ? [X1] : X0 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_odd__Suc__mult__two__ex) ).
fof(f222,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(f223,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls__right) ).
fof(f224,axiom,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(f445,axiom,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__left__commute) ).
fof(f448,axiom,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(f736,axiom,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(f741,axiom,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(f820,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__1__add__1) ).
fof(f1186,conjecture,
? [X0] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1187,negated_conjecture,
~ ? [X0] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(negated_conjecture,[status(cth)],[f1186]) ).
fof(f2197,plain,
! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(ennf_transformation,[],[f1187]) ).
fof(f2198,plain,
~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
inference(cnf_transformation,[],[f1]) ).
fof(f2261,plain,
! [X0] :
( c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2503,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f222]) ).
fof(f2504,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f223]) ).
fof(f2505,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f224]) ).
fof(f2889,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
inference(cnf_transformation,[],[f445]) ).
fof(f2892,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
inference(cnf_transformation,[],[f448]) ).
fof(f3256,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(cnf_transformation,[],[f736]) ).
fof(f3261,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(cnf_transformation,[],[f741]) ).
fof(f3457,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f820]) ).
fof(f3941,plain,
! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(cnf_transformation,[],[f2197]) ).
fof(f3978,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(definition_unfolding,[],[f2261,f3256,f2505,f3261]) ).
fof(f4264,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
inference(definition_unfolding,[],[f3457,f2505,f3261]) ).
fof(f4290,plain,
! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0)),
inference(definition_unfolding,[],[f3941,f3256,f2505,f3261]) ).
fof(f4511,plain,
! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))),X0)),
inference(superposition,[],[f4290,f2504]) ).
fof(f4512,plain,
! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0)),
inference(forward_demodulation,[],[f4511,f2504]) ).
fof(f62283,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))),
inference(forward_demodulation,[],[f4264,f2889]) ).
fof(f62284,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))),
inference(forward_demodulation,[],[f62283,f2892]) ).
fof(f62285,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))),
inference(forward_demodulation,[],[f62284,f2889]) ).
fof(f62286,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))),
inference(forward_demodulation,[],[f62285,f2503]) ).
fof(f62287,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
inference(forward_demodulation,[],[f62286,f2504]) ).
fof(f62288,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))),
inference(forward_demodulation,[],[f62287,f2504]) ).
fof(f62289,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(forward_demodulation,[],[f62288,f2504]) ).
fof(f62290,plain,
! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)),
inference(superposition,[],[f4512,f62289]) ).
fof(f71841,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f3978,f2889]) ).
fof(f71842,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71841,f2892]) ).
fof(f71843,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71842,f2889]) ).
fof(f71844,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71843,f2503]) ).
fof(f71845,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71844,f2504]) ).
fof(f71846,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71845,f2504]) ).
fof(f71847,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),sK0(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f71846,f2504]) ).
fof(f71848,plain,
! [X0] :
( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),sK0(X0))) = X0 ),
inference(forward_demodulation,[],[f71847,f62289]) ).
fof(f71885,plain,
v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),sK0(v_na____))),
inference(resolution,[],[f71848,f2198]) ).
fof(f71895,plain,
$false,
inference(forward_subsumption_resolution,[],[f71885,f62290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW198+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n017.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 13:12:06 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 20.42/3.17 % (3543323)Will run a generic schedule for satisfiability detection.
% 20.42/3.17 % (3543334)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3887858663:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.42/3.17 % (3543329)% WARNING: option uhcvi not known.
% 20.42/3.17 % (3543332)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=891543366:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.42/3.17 % (3543328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=281216580_2999 on theBenchmark for (2999ds/0Mi)
% 20.42/3.17 % (3543330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2599437838:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.42/3.17 % (3543331)dis+10_1_sil=32000:sp=arity:random_seed=1104090057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.42/3.17 % (3543329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2719133882:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.42/3.17 % (3543333)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3361739700:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.42/3.17 % (3543334)Instruction limit reached!
% 20.42/3.17 % (3543334)------------------------------
% 20.42/3.17 % (3543334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.17 % (3543334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.17 % (3543334)CaDiCaL version: 2.1.3
% 20.42/3.17 % (3543334)Termination reason: Instruction limit
% 20.42/3.17 % (3543334)Termination phase: Saturation
% 20.42/3.17 % (3543334)Time elapsed: 0.049 s
% 20.42/3.17 % (3543334)Peak memory usage: 15 MB
% 20.42/3.17 % (3543334)Instructions burned: 161 (million)
% 20.42/3.17 % (3543331)Instruction limit reached!
% 20.42/3.17 % (3543331)------------------------------
% 20.42/3.17 % (3543331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.17 % (3543331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.17 % (3543331)CaDiCaL version: 2.1.3
% 20.42/3.17 % (3543331)Termination reason: Instruction limit
% 20.42/3.17 % (3543331)Termination phase: Saturation
% 20.42/3.17 % (3543331)Time elapsed: 0.050 s
% 20.42/3.17 % (3543331)Peak memory usage: 14 MB
% 20.42/3.17 % (3543331)Instructions burned: 103 (million)
% 20.42/3.17 % (3543332)Instruction limit reached!
% 20.42/3.17 % (3543332)------------------------------
% 20.42/3.17 % (3543332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.17 % (3543332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.17 % (3543332)CaDiCaL version: 2.1.3
% 20.42/3.17 % (3543332)Termination reason: Instruction limit
% 20.42/3.17 % (3543332)Termination phase: Property scanning
% 20.42/3.17 % (3543332)Time elapsed: 0.055 s
% 20.42/3.17 % (3543332)Peak memory usage: 14 MB
% 20.42/3.17 % (3543332)Instructions burned: 116 (million)
% 20.42/3.17 % (3543342)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1924194564:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.42/3.17 % (3543333)Instruction limit reached!
% 20.42/3.17 % (3543333)------------------------------
% 20.42/3.17 % (3543333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.17 % (3543333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.17 % (3543333)CaDiCaL version: 2.1.3
% 20.42/3.17 % (3543333)Termination reason: Instruction limit
% 20.42/3.17 % (3543333)Termination phase: Saturation
% 20.42/3.17 % (3543333)Time elapsed: 0.068 s
% 20.42/3.17 % (3543333)Peak memory usage: 14 MB
% 20.42/3.17 % (3543333)Instructions burned: 132 (million)
% 20.42/3.17 % (3543343)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2287509711:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 20.42/3.17 % (3543344)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=3838044147:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.42/3.17 % (3543347)ott-21_1_sil=16000:fs=off:random_seed=222758948:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.42/3.17 % (3543343)Instruction limit reached!
% 20.42/3.17 % (3543343)------------------------------
% 20.42/3.17 % (3543343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.17 % (3543343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.17 % (3543343)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543343)Termination reason: Instruction limit
% 11.29/3.54 % (3543343)Termination phase: Property scanning
% 11.29/3.54 % (3543343)Time elapsed: 0.061 s
% 11.29/3.54 % (3543343)Peak memory usage: 14 MB
% 11.29/3.54 % (3543343)Instructions burned: 133 (million)
% 11.29/3.54 % (3543350)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3663491319:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.29/3.54 % (3543347)Instruction limit reached!
% 11.29/3.54 % (3543347)------------------------------
% 11.29/3.54 % (3543347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543347)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543347)Termination reason: Instruction limit
% 11.29/3.54 % (3543347)Termination phase: Saturation
% 11.29/3.54 % (3543347)Time elapsed: 0.091 s
% 11.29/3.54 % (3543347)Peak memory usage: 15 MB
% 11.29/3.54 % (3543347)Instructions burned: 181 (million)
% 11.29/3.54 % (3543352)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1878987825:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.29/3.54 % (3543342)Instruction limit reached!
% 11.29/3.54 % (3543342)------------------------------
% 11.29/3.54 % (3543342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543342)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543342)Termination reason: Instruction limit
% 11.29/3.54 % (3543342)Termination phase: Finite model building preprocessing
% 11.29/3.54 % (3543342)Time elapsed: 0.186 s
% 11.29/3.54 % (3543342)Peak memory usage: 19 MB
% 11.29/3.54 % (3543342)Instructions burned: 716 (million)
% 11.29/3.54 % (3543354)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1253326640:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.29/3.54 % (3543350)Instruction limit reached!
% 11.29/3.54 % (3543350)------------------------------
% 11.29/3.54 % (3543350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543350)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543350)Termination reason: Instruction limit
% 11.29/3.54 % (3543350)Termination phase: Saturation
% 11.29/3.54 % (3543350)Time elapsed: 0.295 s
% 11.29/3.54 % (3543350)Peak memory usage: 16 MB
% 11.29/3.54 % (3543350)Instructions burned: 478 (million)
% 11.29/3.54 % (3543356)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3230443468:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.29/3.54 % (3543344)Instruction limit reached!
% 11.29/3.54 % (3543344)------------------------------
% 11.29/3.54 % (3543344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543344)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543344)Termination reason: Instruction limit
% 11.29/3.54 % (3543344)Termination phase: Saturation
% 11.29/3.54 % (3543344)Time elapsed: 0.410 s
% 11.29/3.54 % (3543344)Peak memory usage: 18 MB
% 11.29/3.54 % (3543344)Instructions burned: 684 (million)
% 11.29/3.54 % (3543358)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=3854983230:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.29/3.54 % TRYING [1]
% 11.29/3.54 % TRYING [2]
% 11.29/3.54 % (3543352)Instruction limit reached!
% 11.29/3.54 % (3543352)------------------------------
% 11.29/3.54 % (3543352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543352)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543352)Termination reason: Instruction limit
% 11.29/3.54 % (3543352)Termination phase: Finite model building preprocessing
% 11.29/3.54 % (3543352)Time elapsed: 0.427 s
% 11.29/3.54 % (3543352)Peak memory usage: 22 MB
% 11.29/3.54 % (3543352)Instructions burned: 866 (million)
% 11.29/3.54 % (3543360)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4225421423:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.29/3.54 % (3543354)Instruction limit reached!
% 11.29/3.54 % (3543354)------------------------------
% 11.29/3.54 % (3543354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543354)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543354)Termination reason: Instruction limit
% 11.29/3.54 % (3543354)Termination phase: Saturation
% 11.29/3.54 % (3543354)Time elapsed: 0.392 s
% 11.29/3.54 % (3543354)Peak memory usage: 21 MB
% 11.29/3.54 % (3543354)Instructions burned: 1180 (million)
% 11.29/3.54 % (3543362)fmb+10_1_sil=64000:random_seed=4080752048:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 11.29/3.54 % TRYING [3]
% 11.29/3.54 % (3543356)Instruction limit reached!
% 11.29/3.54 % (3543356)------------------------------
% 11.29/3.54 % (3543356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543356)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543356)Termination reason: Instruction limit
% 11.29/3.54 % (3543356)Termination phase: Finite model building preprocessing
% 11.29/3.54 % (3543356)Time elapsed: 0.439 s
% 11.29/3.54 % (3543356)Peak memory usage: 22 MB
% 11.29/3.54 % (3543356)Instructions burned: 890 (million)
% 11.29/3.54 % (3543364)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=425478038:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.29/3.54 % TRYING [1]
% 11.29/3.54 % (3543358)Instruction limit reached!
% 11.29/3.54 % (3543358)------------------------------
% 11.29/3.54 % (3543358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543358)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543358)Termination reason: Instruction limit
% 11.29/3.54 % (3543358)Termination phase: Saturation
% 11.29/3.54 % (3543358)Time elapsed: 0.459 s
% 11.29/3.54 % (3543358)Peak memory usage: 20 MB
% 11.29/3.54 % (3543358)Instructions burned: 692 (million)
% 11.29/3.54 % TRYING [2]
% 11.29/3.54 % (3543366)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=402812197:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 11.29/3.54 % (3543360)Instruction limit reached!
% 11.29/3.54 % (3543360)------------------------------
% 11.29/3.54 % (3543360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543360)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543360)Termination reason: Instruction limit
% 11.29/3.54 % (3543360)Termination phase: Saturation
% 11.29/3.54 % (3543360)Time elapsed: 0.460 s
% 11.29/3.54 % (3543360)Peak memory usage: 20 MB
% 11.29/3.54 % (3543360)Instructions burned: 880 (million)
% 11.29/3.54 % (3543368)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2788325334:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.29/3.54 % (3543366)Instruction limit reached!
% 11.29/3.54 % (3543366)------------------------------
% 11.29/3.54 % (3543366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543366)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543366)Termination reason: Instruction limit
% 11.29/3.54 % (3543366)Termination phase: Finite model building preprocessing
% 11.29/3.54 % (3543366)Time elapsed: 0.458 s
% 11.29/3.54 % (3543366)Peak memory usage: 22 MB
% 11.29/3.54 % (3543366)Instructions burned: 920 (million)
% 11.29/3.54 % TRYING [3]
% 11.29/3.54 % (3543370)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1743739667:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 11.29/3.54 % TRYING [20]
% 11.29/3.54 % TRYING [4]
% 11.29/3.54 % (3543370)Instruction limit reached!
% 11.29/3.54 % (3543370)------------------------------
% 11.29/3.54 % (3543370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543370)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543370)Termination reason: Instruction limit
% 11.29/3.54 % (3543370)Termination phase: Saturation
% 11.29/3.54 % (3543370)Time elapsed: 0.801 s
% 11.29/3.54 % (3543370)Peak memory usage: 28 MB
% 11.29/3.54 % (3543370)Instructions burned: 1473 (million)
% 11.29/3.54 % (3543372)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3263745100:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 11.29/3.54 % (3543372)Cannot represent all propositional literals internally
% 11.29/3.54 % (3543372)Refutation not found, incomplete strategy
% 11.29/3.54 % (3543372)------------------------------
% 11.29/3.54 % (3543372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.54 % (3543372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.54 % (3543372)CaDiCaL version: 2.1.3
% 11.29/3.54 % (3543372)Termination reason: Refutation not found, incomplete strategy
% 11.29/3.54 % (3543372)Time elapsed: 0.582 s
% 11.29/3.54 % (3543372)Peak memory usage: 27 MB
% 11.29/3.54 % (3543372)Instructions burned: 1193 (million)
% 11.29/3.54 % (3543372)------------------------------
% 11.29/3.54 % (3543372)------------------------------
% 11.29/3.54 % (3543374)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3861254078:fmbsr=2.30978:i=2174_2970 on theBenchmark for (2970ds/2174Mi)
% 11.29/3.54 % (3543368) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543323-3543368"...
% 11.29/3.54 % (3543368)...printing done.
% 11.29/3.54 % (3543368)Refutation found. Thanks to Tanya!
% 11.29/3.54 % SZS status Theorem for theBenchmark
% 11.29/3.54 % SZS output start Proof for theBenchmark
% See solution above
% 11.29/3.55 % (3543368)------------------------------
% 11.29/3.55 % (3543368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.29/3.55 % (3543368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.55 % (3543368)CaDiCaL version: 2.1.3
% 11.29/3.55 % (3543368)Termination reason: Refutation
% 11.29/3.55 % (3543368)Time elapsed: 2.049 s
% 11.29/3.55 % (3543368)Peak memory usage: 31 MB
% 11.29/3.55 % (3543368)Instructions burned: 3669 (million)
% 11.29/3.55 % (3543323)Success in time 3.295 s
% 11.29/3.55 % Vampire exiting
%------------------------------------------------------------------------------