%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n018.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 01:29:49 PM UTC 2026
% Result : Theorem 5.50s 1.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 63 unt; 9 def)
% Number of atoms : 127 ( 82 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 30 ~; 29 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 74 ( 0 sgn 69 !; 5 ?)
% 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(f87,axiom,
! [X0] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).
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(f401,axiom,
! [X0,X1] :
( class_Int_Onumber__ring(X1)
=> c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__2__right) ).
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(f698,axiom,
! [X0] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__1) ).
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(f1041,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Int_Onumber__ring) ).
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(f1495,plain,
! [X0,X1] :
( c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X0,X0)
| ~ class_Int_Onumber__ring(X1) ),
inference(ennf_transformation,[],[f401]) ).
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(f2241,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : 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)) != 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))
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f2242,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : 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)) != X0 )
& ( ? [X2] : 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))),X2)) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(rectify,[],[f2241]) ).
fof(f2243,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : 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)) != 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))),sK14(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0))],[f2242]) ).
fof(f2661,plain,
~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
inference(cnf_transformation,[],[f1]) ).
fof(f2725,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))),sK14(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(cnf_transformation,[],[f2243]) ).
fof(f2777,plain,
! [X0] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0) = X0,
inference(cnf_transformation,[],[f87]) ).
fof(f2969,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f222]) ).
fof(f2970,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f223]) ).
fof(f2971,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f224]) ).
fof(f3290,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
| ~ class_Int_Onumber__ring(X1) ),
inference(cnf_transformation,[],[f1495]) ).
fof(f3366,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(f3693,plain,
! [X0] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) = X0,
inference(cnf_transformation,[],[f698]) ).
fof(f3741,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(f3746,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(f3954,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(f4289,plain,
class_Int_Onumber__ring(tc_Int_Oint),
inference(cnf_transformation,[],[f1041]) ).
fof(f4434,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(f4472,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))),sK14(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(definition_unfolding,[],[f2725,f3741,f2971,f3746]) ).
fof(f4684,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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))))
| ~ class_Int_Onumber__ring(X1) ),
inference(definition_unfolding,[],[f3290,f2971,f3746]) ).
fof(f4757,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,[],[f3954,f2971,f3746]) ).
fof(f4783,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,[],[f4434,f3741,f2971,f3746]) ).
fof(f5009,definition,
sF31 = c_Groups_Oone__class_Oone(tc_Nat_Onat),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f5010,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = sF31,
inference(reorient_equations,[],[f5009]) ).
fof(f5011,definition,
sF32 = c_Groups_Oone__class_Oone(tc_Int_Oint),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f5012,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = sF32,
inference(reorient_equations,[],[f5011]) ).
fof(f5013,definition,
sF33 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f5014,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,c_Int_OPls) = sF33,
inference(reorient_equations,[],[f5013]) ).
fof(f5015,definition,
sF34 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF33,c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f5016,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF33,c_Int_OPls) = sF34,
inference(reorient_equations,[],[f5015]) ).
fof(f5017,definition,
sF35 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF34,sF34),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f5018,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF34,sF34) = sF35,
inference(reorient_equations,[],[f5017]) ).
fof(f5019,definition,
sF36 = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF35),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f5020,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF35) = sF36,
inference(reorient_equations,[],[f5019]) ).
fof(f5021,definition,
! [X0] : sF37(X0) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,X0),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f5022,plain,
! [X0] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,X0) = sF37(X0),
inference(reorient_equations,[],[f5021]) ).
fof(f5023,definition,
! [X0] : sF38(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF37(X0)),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f5024,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF37(X0)) = sF38(X0),
inference(reorient_equations,[],[f5023]) ).
fof(f5025,plain,
! [X0] : v_na____ != sF38(X0),
inference(definition_folding,[],[f4783,f5024,f5022,f5020,f5018,f5016,f5014,f5012,f5016,f5014,f5012,f5010]) ).
fof(f5032,definition,
( spl39_1
<=> c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____) ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f5034,plain,
( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)
| spl39_1 ),
inference(avatar_component_clause,[],[f5032]) ).
fof(f5084,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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_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)))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f4684,f3366]) ).
fof(f5198,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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),sK14(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(forward_demodulation,[],[f4472,f4757]) ).
fof(f5215,plain,
~ spl39_1,
inference(avatar_split_clause,[],[f2661,f5032]) ).
fof(f5216,plain,
sF32 = sF33,
inference(forward_demodulation,[],[f5014,f2970]) ).
fof(f5217,plain,
sF33 = sF34,
inference(forward_demodulation,[],[f5016,f2970]) ).
fof(f5257,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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_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))))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5084,f3366]) ).
fof(f5362,plain,
! [X0] :
( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31),sK14(X0))) = X0 ),
inference(forward_demodulation,[],[f5198,f5010]) ).
fof(f5374,plain,
sF32 = sF34,
inference(forward_demodulation,[],[f5217,f5216]) ).
fof(f5383,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5257,f2969]) ).
fof(f5428,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5383,f2969]) ).
fof(f5472,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls)))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5428,f3366]) ).
fof(f5493,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,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))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5472,f2970]) ).
fof(f5512,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5493,f2970]) ).
fof(f5524,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,sF32)))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5512,f5012]) ).
fof(f5536,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF34,sF34)))
| ~ class_Int_Onumber__ring(X1) ),
inference(forward_demodulation,[],[f5524,f5374]) ).
fof(f5548,plain,
! [X0,X1] :
( ~ class_Int_Onumber__ring(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,sF35)) ),
inference(forward_demodulation,[],[f5536,f5018]) ).
fof(f5602,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31),sK14(v_na____)))
| spl39_1 ),
inference(resolution,[],[f5362,f5034]) ).
fof(f6751,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,sF35)),
inference(resolution,[],[f4289,f5548]) ).
fof(f6754,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,sF35),
inference(forward_demodulation,[],[f6751,f2777]) ).
fof(f7395,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_Otimes__class_Otimes(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),sF35)),
inference(superposition,[],[f4757,f6754]) ).
fof(f7396,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_Otimes__class_Otimes(tc_Int_Oint,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_Int_OPls)),sF35)),
inference(forward_demodulation,[],[f7395,f3366]) ).
fof(f7410,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_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),sF35)),
inference(forward_demodulation,[],[f7396,f2969]) ).
fof(f7424,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_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),sF35)),
inference(forward_demodulation,[],[f7410,f2970]) ).
fof(f7438,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,sF35),
inference(forward_demodulation,[],[f7424,f3693]) ).
fof(f7452,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)) = sF36,
inference(forward_demodulation,[],[f7438,f5020]) ).
fof(f7466,plain,
sF36 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31),
inference(forward_demodulation,[],[f7452,f5010]) ).
fof(f7518,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,sK14(v_na____)))
| spl39_1 ),
inference(superposition,[],[f5602,f7466]) ).
fof(f7532,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF37(sK14(v_na____)))
| spl39_1 ),
inference(forward_demodulation,[],[f7518,f5022]) ).
fof(f7540,plain,
( v_na____ = sF38(sK14(v_na____))
| spl39_1 ),
inference(forward_demodulation,[],[f7532,f5024]) ).
fof(f7549,plain,
( $false
| spl39_1 ),
inference(forward_subsumption_resolution,[],[f7540,f5025]) ).
fof(f7550,plain,
spl39_1,
inference(avatar_contradiction_clause,[],[f7549]) ).
cnf(s2,plain,
~ spl39_1,
inference(sat_conversion,[],[f5215]) ).
cnf(s11,plain,
spl39_1,
inference(sat_conversion,[],[f7550]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11]) ).
fof(f7552,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:19:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.50/1.60 % (3380481)Detected formulas, will run a generic FOF schedule.
% 5.50/1.60 % (3380486)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=1511438716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.50/1.60 % (3380492)dis-21_1_sil=8000:lcm=predicate:random_seed=2759806697:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.50/1.60 % (3380488)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2818193571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.50/1.60 % (3380490)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2423577196:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.50/1.60 % (3380489)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1157352850:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.50/1.60 % (3380487)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3223488996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.50/1.60 % (3380491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4050962663:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.50/1.60 % (3380489)Instruction limit reached!
% 5.50/1.60 % (3380489)------------------------------
% 5.50/1.60 % (3380489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380489)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380489)Termination reason: Instruction limit
% 5.50/1.60 % (3380489)Termination phase: Saturation
% 5.50/1.60 % (3380489)Time elapsed: 0.062 s
% 5.50/1.60 % (3380489)Peak memory usage: 90 MB
% 5.50/1.60 % (3380489)Instructions burned: 110 (million)
% 5.50/1.60 % (3380492)Instruction limit reached!
% 5.50/1.60 % (3380492)------------------------------
% 5.50/1.60 % (3380492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380492)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380492)Termination reason: Instruction limit
% 5.50/1.60 % (3380492)Termination phase: Saturation
% 5.50/1.60 % (3380492)Time elapsed: 0.064 s
% 5.50/1.60 % (3380492)Peak memory usage: 91 MB
% 5.50/1.60 % (3380492)Instructions burned: 129 (million)
% 5.50/1.60 % (3380490)Instruction limit reached!
% 5.50/1.60 % (3380490)------------------------------
% 5.50/1.60 % (3380490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380490)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380490)Termination reason: Instruction limit
% 5.50/1.60 % (3380490)Termination phase: Saturation
% 5.50/1.60 % (3380490)Time elapsed: 0.070 s
% 5.50/1.60 % (3380490)Peak memory usage: 90 MB
% 5.50/1.60 % (3380490)Instructions burned: 120 (million)
% 5.50/1.60 % (3380491)Instruction limit reached!
% 5.50/1.60 % (3380491)------------------------------
% 5.50/1.60 % (3380491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380491)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380491)Termination reason: Instruction limit
% 5.50/1.60 % (3380491)Termination phase: Saturation
% 5.50/1.60 % (3380491)Time elapsed: 0.077 s
% 5.50/1.60 % (3380491)Peak memory usage: 91 MB
% 5.50/1.60 % (3380491)Instructions burned: 140 (million)
% 5.50/1.60 % (3380500)lrs+10_1_sil=8000:sp=occurrence:random_seed=3242845465:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.50/1.60 % (3380501)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2853932439:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.50/1.60 % (3380503)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=335577040:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.50/1.60 % (3380502)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3797897211:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.50/1.60 % (3380501)Instruction limit reached!
% 5.50/1.60 % (3380501)------------------------------
% 5.50/1.60 % (3380501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380501)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380501)Termination reason: Instruction limit
% 5.50/1.60 % (3380501)Termination phase: Saturation
% 5.50/1.60 % (3380501)Time elapsed: 0.082 s
% 5.50/1.60 % (3380501)Peak memory usage: 90 MB
% 5.50/1.60 % (3380501)Instructions burned: 158 (million)
% 5.50/1.60 % (3380500)Instruction limit reached!
% 5.50/1.60 % (3380500)------------------------------
% 5.50/1.60 % (3380500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380500)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380500)Termination reason: Instruction limit
% 5.50/1.60 % (3380500)Termination phase: Saturation
% 5.50/1.60 % (3380500)Time elapsed: 0.167 s
% 5.50/1.60 % (3380500)Peak memory usage: 92 MB
% 5.50/1.60 % (3380500)Instructions burned: 287 (million)
% 5.50/1.60 % (3380503)Instruction limit reached!
% 5.50/1.60 % (3380503)------------------------------
% 5.50/1.60 % (3380503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380503)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380503)Termination reason: Instruction limit
% 5.50/1.60 % (3380503)Termination phase: Saturation
% 5.50/1.60 % (3380503)Time elapsed: 0.142 s
% 5.50/1.60 % (3380503)Peak memory usage: 92 MB
% 5.50/1.60 % (3380503)Instructions burned: 249 (million)
% 5.50/1.60 % (3380508)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1987990880:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.50/1.60 % (3380502)Instruction limit reached!
% 5.50/1.60 % (3380502)------------------------------
% 5.50/1.60 % (3380502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380502)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380502)Termination reason: Instruction limit
% 5.50/1.60 % (3380502)Termination phase: Saturation
% 5.50/1.60 % (3380502)Time elapsed: 0.188 s
% 5.50/1.60 % (3380502)Peak memory usage: 91 MB
% 5.50/1.60 % (3380502)Instructions burned: 326 (million)
% 5.50/1.60 % (3380509)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=853994916:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.50/1.60 % (3380510)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=364052962:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.50/1.60 % (3380512)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2816450352:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.50/1.60 % (3380510)Instruction limit reached!
% 5.50/1.60 % (3380510)------------------------------
% 5.50/1.60 % (3380510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380510)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380510)Termination reason: Instruction limit
% 5.50/1.60 % (3380510)Termination phase: Saturation
% 5.50/1.60 % (3380510)Time elapsed: 0.057 s
% 5.50/1.60 % (3380510)Peak memory usage: 90 MB
% 5.50/1.60 % (3380510)Instructions burned: 113 (million)
% 5.50/1.60 % (3380508)Instruction limit reached!
% 5.50/1.60 % (3380508)------------------------------
% 5.50/1.60 % (3380508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380508)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380508)Termination reason: Instruction limit
% 5.50/1.60 % (3380508)Termination phase: Saturation
% 5.50/1.60 % (3380508)Time elapsed: 0.154 s
% 5.50/1.60 % (3380508)Peak memory usage: 92 MB
% 5.50/1.60 % (3380508)Instructions burned: 296 (million)
% 5.50/1.60 % (3380486)First to succeed.
% 5.50/1.60 % (3380486)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3380481"
% 5.50/1.60 % (3380512)Instruction limit reached!
% 5.50/1.60 % (3380512)------------------------------
% 5.50/1.60 % (3380512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.60 % (3380512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.60 % (3380512)CaDiCaL version: 2.1.3
% 5.50/1.60 % (3380512)Termination reason: Instruction limit
% 5.50/1.60 % (3380512)Termination phase: Saturation
% 5.50/1.60 % (3380512)Time elapsed: 0.058 s
% 5.50/1.60 % (3380512)Peak memory usage: 90 MB
% 5.50/1.60 % (3380512)Instructions burned: 127 (million)
% 5.50/1.60 % (3380516)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2772548188:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.50/1.60 % (3380517)lrs+10_1_sil=8000:sp=occurrence:random_seed=1099629020:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.50/1.60 % (3380518)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=568479366:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.50/1.60 % (3380486)Refutation found. Thanks to Tanya!
% 5.50/1.60 % SZS status Theorem for theBenchmark
% 5.50/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.81 % (3380486)------------------------------
% 0.20/1.81 % (3380486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.81 % (3380486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.81 % (3380486)CaDiCaL version: 2.1.3
% 0.20/1.81 % (3380486)Termination reason: Refutation
% 0.20/1.81 % (3380486)Time elapsed: 0.599 s
% 0.20/1.81 % (3380486)Peak memory usage: 146 MB
% 0.20/1.81 % (3380486)Instructions burned: 1776 (million)
% 0.20/1.81 % (3380486)------------------------------
% 0.20/1.81 % (3380486)------------------------------
% 0.20/1.81 % (3380481)Success in time 0.92 s
% 0.20/1.81 % Vampire exiting
%------------------------------------------------------------------------------