%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG412-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:19:58 AM UTC 2026
% Result : Unsatisfiable 9.35s 2.02s
% Output : Refutation 11.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 82 ( 32 unt; 3 def)
% Number of atoms : 137 ( 83 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 93 ( 38 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__imp_0) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
inference(reorient_equations,[],[f54]) ).
fof(f276,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
fof(f507,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X0),X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Osynthetic__div(X1,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__correct_0) ).
fof(f569,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).
fof(f570,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
inference(reorient_equations,[],[f569]) ).
fof(f679,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X2,X3,X0),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f775,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).
fof(f776,axiom,
( c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons_Ohyps_1) ).
fof(f795,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__0_0) ).
fof(f796,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
inference(reorient_equations,[],[f795]) ).
fof(f830,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__poly__code_I2_J_0) ).
fof(f843,axiom,
( v_sko__local__XpCons__Xhyps__1(v_ds____) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons_Ohyps_0) ).
fof(f853,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__0__left_0) ).
fof(f854,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
inference(reorient_equations,[],[f853]) ).
fof(f859,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__0_0) ).
fof(f860,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
inference(reorient_equations,[],[f859]) ).
fof(f891,axiom,
! [X0] :
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f892,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(reorient_equations,[],[f891]) ).
fof(f893,axiom,
v_d____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f894,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_d____,
inference(reorient_equations,[],[f893]) ).
fof(f895,negated_conjecture,
c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f896,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f895]) ).
fof(f994,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f995,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1003,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f1016,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1069,plain,
! [X0] :
( v_d____ = c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f892,f894]) ).
fof(f1075,plain,
( v_sko__local__XpCons__Xhyps__1(v_ds____) != v_d____
| v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_demodulation,[],[f843,f894]) ).
fof(f1077,plain,
( c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex) != v_d____
| v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_demodulation,[],[f776,f894]) ).
fof(f1078,plain,
! [X0] :
( v_d____ = c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)
| v_d____ = X0 ),
inference(forward_demodulation,[],[f1069,f894]) ).
fof(f1080,definition,
( spl0_1
<=> v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1082,plain,
( v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1100,definition,
( spl0_5
<=> v_sko__local__XpCons__Xhyps__1(v_ds____) = v_d____ ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1102,plain,
( v_sko__local__XpCons__Xhyps__1(v_ds____) != v_d____
| spl0_5 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1103,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1075,f1100,f1080]) ).
fof(f1110,definition,
( spl0_7
<=> c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex) = v_d____ ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1112,plain,
( c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex) != v_d____
| spl0_7 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1113,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1077,f1110,f1080]) ).
fof(f1114,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f775,f994]) ).
fof(f1115,plain,
! [X0] : c_HOL_Oplus__class_Oplus(v_d____,X0,tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1114,f894]) ).
fof(f1123,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
inference(resolution,[],[f860,f995]) ).
fof(f1124,plain,
! [X0] : v_d____ = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1123,f894]) ).
fof(f1142,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f679,f995]) ).
fof(f1148,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1115,f1142]) ).
fof(f1155,plain,
! [X0] :
( v_d____ = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(v_ds____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| v_d____ = X0 ),
inference(superposition,[],[f1078,f1148]) ).
fof(f1217,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f570,f994]) ).
fof(f1218,plain,
! [X0] : v_d____ = c_HOL_Otimes__class_Otimes(X0,v_d____,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1217,f894]) ).
fof(f1219,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(resolution,[],[f854,f995]) ).
fof(f1220,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(v_d____,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1219,f894]) ).
fof(f1226,plain,
! [X0,X1] : c_Polynomial_OpCons(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_Polynomial_Osmult(X1,c_Polynomial_Osynthetic__div(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(resolution,[],[f507,f995]) ).
fof(f1232,plain,
! [X0] : c_Polynomial_OpCons(c_Polynomial_Opoly(X0,v_d____,tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X0,v_d____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[],[f1226,f1220]) ).
fof(f1284,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),
inference(resolution,[],[f276,f994]) ).
fof(f1288,plain,
! [X0] : v_d____ = c_HOL_Otimes__class_Otimes(v_d____,X0,tc_Complex_Ocomplex),
inference(superposition,[],[f1218,f1284]) ).
fof(f1327,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1 ),
inference(resolution,[],[f55,f1016]) ).
fof(f1328,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1
| v_d____ = X0 ),
inference(forward_demodulation,[],[f1327,f894]) ).
fof(f1331,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X1
| v_d____ = X0 ),
inference(superposition,[],[f1328,f1284]) ).
fof(f1332,plain,
! [X0] :
( v_d____ = c_HOL_Oinverse__class_Odivide(v_d____,X0,tc_Complex_Ocomplex)
| v_d____ = X0 ),
inference(superposition,[],[f1328,f1288]) ).
fof(f1438,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
inference(resolution,[],[f796,f995]) ).
fof(f1441,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_d____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(superposition,[],[f1232,f1438]) ).
fof(f1445,plain,
c_Polynomial_OpCons(v_d____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_demodulation,[],[f1441,f1124]) ).
fof(f1597,plain,
! [X0] :
( c_Polynomial_Opoly(v_ds____,X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(v_d____,X0,tc_Complex_Ocomplex)
| v_d____ = X0
| v_d____ = X0 ),
inference(superposition,[],[f1331,f1155]) ).
fof(f1599,plain,
! [X0] :
( c_Polynomial_Opoly(v_ds____,X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(v_d____,X0,tc_Complex_Ocomplex)
| v_d____ = X0 ),
inference(duplicate_literal_removal,[],[f1597]) ).
fof(f1609,plain,
( v_d____ != c_HOL_Oinverse__class_Odivide(v_d____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex)
| v_sko__local__XpCons__Xhyps__1(v_ds____) = v_d____
| spl0_7 ),
inference(superposition,[],[f1112,f1599]) ).
fof(f1619,plain,
( v_sko__local__XpCons__Xhyps__1(v_ds____) = v_d____
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1609,f1332]) ).
fof(f1624,plain,
( $false
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1619,f1102]) ).
fof(f1625,plain,
( spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1664,plain,
( c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_ds____,v_ds____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl0_1 ),
inference(superposition,[],[f1445,f1082]) ).
fof(f1961,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(resolution,[],[f1003,f830]) ).
fof(f1962,plain,
( ! [X0] : c_HOL_Oplus__class_Oplus(X0,v_ds____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1961,f1082]) ).
fof(f1964,plain,
( v_ds____ = c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex)
| ~ spl0_1 ),
inference(superposition,[],[f1664,f1962]) ).
fof(f1967,plain,
( v_ds____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl0_1 ),
inference(superposition,[],[f896,f1964]) ).
fof(f2003,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1967,f1082]) ).
fof(f2004,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2003]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f1103]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s14,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s18,plain,
~ spl0_1,
inference(sat_conversion,[],[f2004]) ).
cnf(s19,plain,
~ spl0_7,
inference(rat,[],[s6,s18]) ).
cnf(s20,plain,
spl0_5,
inference(rat,[],[s14,s19]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s4,s20,s18]) ).
fof(f2007,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG412-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:21:12 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 9.35/2.00 % (1948695)Input is clausal, will run a generic CNF schedule.
% 9.35/2.00 % (1948706)dis-21_1_sil=8000:lcm=predicate:random_seed=2325271943:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.35/2.00 % (1948706)Instruction limit reached!
% 9.35/2.00 % (1948706)------------------------------
% 9.35/2.00 % (1948706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.00 % (1948706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.00 % (1948706)CaDiCaL version: 2.1.3
% 9.35/2.00 % (1948706)Termination reason: Instruction limit
% 9.35/2.00 % (1948706)Termination phase: Saturation
% 9.35/2.00 % (1948706)Time elapsed: 0.034 s
% 9.35/2.00 % (1948706)Peak memory usage: 90 MB
% 9.35/2.00 % (1948706)Instructions burned: 122 (million)
% 9.35/2.00 % (1948701)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4063387888:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.35/2.00 % (1948703)lrs+10_1_sil=8000:sp=occurrence:random_seed=2688006908:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.35/2.00 % (1948700)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=269647062:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.35/2.00 % (1948705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=563359673:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.35/2.00 % (1948702)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4105689696:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.35/2.00 % (1948704)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3944388853:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.35/2.00 % (1948704)Instruction limit reached!
% 9.35/2.00 % (1948704)------------------------------
% 9.35/2.00 % (1948704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.00 % (1948704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.00 % (1948704)CaDiCaL version: 2.1.3
% 9.35/2.00 % (1948704)Termination reason: Instruction limit
% 9.35/2.00 % (1948704)Termination phase: Saturation
% 9.35/2.00 % (1948704)Time elapsed: 0.068 s
% 9.35/2.00 % (1948704)Peak memory usage: 88 MB
% 9.35/2.00 % (1948704)Instructions burned: 116 (million)
% 9.35/2.00 % (1948703)Instruction limit reached!
% 9.35/2.00 % (1948703)------------------------------
% 9.35/2.00 % (1948703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.00 % (1948703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.00 % (1948703)CaDiCaL version: 2.1.3
% 9.35/2.00 % (1948703)Termination reason: Instruction limit
% 9.35/2.00 % (1948703)Termination phase: Saturation
% 9.35/2.00 % (1948703)Time elapsed: 0.072 s
% 9.35/2.00 % (1948703)Peak memory usage: 90 MB
% 9.35/2.00 % (1948703)Instructions burned: 108 (million)
% 9.35/2.00 % (1948708)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3762973572:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.35/2.00 % (1948708)Refutation not found, incomplete strategy
% 9.35/2.00 % (1948708)------------------------------
% 9.35/2.00 % (1948708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.00 % (1948708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.00 % (1948708)CaDiCaL version: 2.1.3
% 9.35/2.00 % (1948708)Termination reason: Refutation not found, incomplete strategy
% 9.35/2.00 % (1948708)Time elapsed: 0.003 s
% 9.35/2.00 % (1948708)Peak memory usage: 88 MB
% 9.35/2.00 % (1948708)Instructions burned: 7 (million)
% 9.35/2.00 % (1948705)Instruction limit reached!
% 9.35/2.00 % (1948705)------------------------------
% 9.35/2.00 % (1948705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.00 % (1948705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.00 % (1948705)CaDiCaL version: 2.1.3
% 9.35/2.00 % (1948705)Termination reason: Instruction limit
% 9.35/2.00 % (1948705)Termination phase: Saturation
% 9.35/2.00 % (1948705)Time elapsed: 0.129 s
% 9.35/2.00 % (1948705)Peak memory usage: 90 MB
% 9.35/2.00 % (1948705)Instructions burned: 181 (million)
% 9.35/2.00 % (1948716)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2575256941:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.35/2.02 % (1948715)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4136405787:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 9.35/2.02 % (1948716)Refutation not found, incomplete strategy
% 9.35/2.02 % (1948716)------------------------------
% 9.35/2.02 % (1948716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948716)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948716)Termination reason: Refutation not found, incomplete strategy
% 9.35/2.02 % (1948716)Time elapsed: 0.017 s
% 9.35/2.02 % (1948716)Peak memory usage: 88 MB
% 9.35/2.02 % (1948716)Instructions burned: 29 (million)
% 9.35/2.02 % (1948708)------------------------------
% 9.35/2.02 % (1948708)------------------------------
% 9.35/2.02 % (1948718)lrs+10_64_to=lpo:sil=8000:random_seed=858852096:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.35/2.02 % (1948715)Instruction limit reached!
% 9.35/2.02 % (1948715)------------------------------
% 9.35/2.02 % (1948715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948715)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948715)Termination reason: Instruction limit
% 9.35/2.02 % (1948715)Termination phase: Saturation
% 9.35/2.02 % (1948715)Time elapsed: 0.113 s
% 9.35/2.02 % (1948715)Peak memory usage: 91 MB
% 9.35/2.02 % (1948715)Instructions burned: 189 (million)
% 9.35/2.02 % (1948718)Instruction limit reached!
% 9.35/2.02 % (1948718)------------------------------
% 9.35/2.02 % (1948718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948718)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948718)Termination reason: Instruction limit
% 9.35/2.02 % (1948718)Termination phase: Saturation
% 9.35/2.02 % (1948718)Time elapsed: 0.082 s
% 9.35/2.02 % (1948718)Peak memory usage: 90 MB
% 9.35/2.02 % (1948718)Instructions burned: 126 (million)
% 9.35/2.02 % (1948721)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=338849029:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.35/2.02 % (1948721)Instruction limit reached!
% 9.35/2.02 % (1948721)------------------------------
% 9.35/2.02 % (1948721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948721)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948721)Termination reason: Instruction limit
% 9.35/2.02 % (1948721)Termination phase: Saturation
% 9.35/2.02 % (1948721)Time elapsed: 0.073 s
% 9.35/2.02 % (1948721)Peak memory usage: 91 MB
% 9.35/2.02 % (1948721)Instructions burned: 196 (million)
% 9.35/2.02 % (1948716)------------------------------
% 9.35/2.02 % (1948716)------------------------------
% 9.35/2.02 % (1948723)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2670754479:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.35/2.02 % (1948724)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2237087953:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.35/2.02 % (1948726)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1623344488:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.35/2.02 % (1948723)Instruction limit reached!
% 9.35/2.02 % (1948723)------------------------------
% 9.35/2.02 % (1948723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948723)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948723)Termination reason: Instruction limit
% 9.35/2.02 % (1948723)Termination phase: Saturation
% 9.35/2.02 % (1948723)Time elapsed: 0.094 s
% 9.35/2.02 % (1948723)Peak memory usage: 91 MB
% 9.35/2.02 % (1948723)Instructions burned: 158 (million)
% 9.35/2.02 % (1948726)Instruction limit reached!
% 9.35/2.02 % (1948726)------------------------------
% 9.35/2.02 % (1948726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948726)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948726)Termination reason: Instruction limit
% 9.35/2.02 % (1948726)Termination phase: Saturation
% 9.35/2.02 % (1948726)Time elapsed: 0.035 s
% 9.35/2.02 % (1948726)Peak memory usage: 90 MB
% 9.35/2.02 % (1948726)Instructions burned: 110 (million)
% 9.35/2.02 % (1948728)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3454534160:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.35/2.02 % (1948728)Refutation not found, incomplete strategy
% 9.35/2.02 % (1948728)------------------------------
% 9.35/2.02 % (1948728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948728)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948728)Termination reason: Refutation not found, incomplete strategy
% 9.35/2.02 % (1948728)Time elapsed: 0.012 s
% 9.35/2.02 % (1948728)Peak memory usage: 88 MB
% 9.35/2.02 % (1948728)Instructions burned: 18 (million)
% 9.35/2.02 % (1948731)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4153383084:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.35/2.02 % (1948732)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=157122453:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.35/2.02 % (1948731)Instruction limit reached!
% 9.35/2.02 % (1948731)------------------------------
% 9.35/2.02 % (1948731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948731)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948731)Termination reason: Instruction limit
% 9.35/2.02 % (1948731)Termination phase: Saturation
% 9.35/2.02 % (1948731)Time elapsed: 0.150 s
% 9.35/2.02 % (1948731)Peak memory usage: 90 MB
% 9.35/2.02 % (1948731)Instructions burned: 243 (million)
% 9.35/2.02 % (1948728)------------------------------
% 9.35/2.02 % (1948728)------------------------------
% 9.35/2.02 % (1948736)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2857299199:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 9.35/2.02 % (1948737)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1388610201:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.35/2.02 % (1948736)Instruction limit reached!
% 9.35/2.02 % (1948736)------------------------------
% 9.35/2.02 % (1948736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948736)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948736)Termination reason: Instruction limit
% 9.35/2.02 % (1948736)Termination phase: Saturation
% 9.35/2.02 % (1948736)Time elapsed: 0.074 s
% 9.35/2.02 % (1948736)Peak memory usage: 89 MB
% 9.35/2.02 % (1948736)Instructions burned: 134 (million)
% 9.35/2.02 % (1948724)First to succeed.
% 9.35/2.02 % (1948724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1948695"
% 9.35/2.02 % (1948740)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2369306786:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 9.35/2.02 % (1948737)Instruction limit reached!
% 9.35/2.02 % (1948737)------------------------------
% 9.35/2.02 % (1948737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948737)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948737)Termination reason: Instruction limit
% 9.35/2.02 % (1948737)Termination phase: Saturation
% 9.35/2.02 % (1948737)Time elapsed: 0.274 s
% 9.35/2.02 % (1948737)Peak memory usage: 94 MB
% 9.35/2.02 % (1948737)Instructions burned: 500 (million)
% 9.35/2.02 % (1948740)Instruction limit reached!
% 9.35/2.02 % (1948740)------------------------------
% 9.35/2.02 % (1948740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.02 % (1948740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.02 % (1948740)CaDiCaL version: 2.1.3
% 9.35/2.02 % (1948740)Termination reason: Instruction limit
% 9.35/2.02 % (1948740)Termination phase: Saturation
% 9.35/2.02 % (1948740)Time elapsed: 0.127 s
% 9.35/2.02 % (1948740)Peak memory usage: 92 MB
% 9.35/2.02 % (1948740)Instructions burned: 191 (million)
% 9.35/2.02 % (1948724)Refutation found. Thanks to Tanya!
% 9.35/2.02 % SZS status Unsatisfiable for theBenchmark
% 9.35/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 11.54/2.12 % (1948724)------------------------------
% 11.54/2.12 % (1948724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (1948724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (1948724)CaDiCaL version: 2.1.3
% 11.54/2.12 % (1948724)Termination reason: Refutation
% 11.54/2.12 % (1948724)Time elapsed: 0.724 s
% 11.54/2.12 % (1948724)Peak memory usage: 136 MB
% 11.54/2.12 % (1948724)Instructions burned: 1371 (million)
% 11.54/2.12 % (1948724)------------------------------
% 11.54/2.12 % (1948724)------------------------------
% 11.54/2.12 % (1948695)Success in time 1.604 s
% 11.54/2.12 % Vampire exiting
%------------------------------------------------------------------------------