%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG426-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:59 AM UTC 2026
% Result : Unsatisfiable 8.42s 2.05s
% Output : Refutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 43 unt; 0 def)
% Number of atoms : 125 ( 96 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 38 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f148,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__pCons_0) ).
fof(f445,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(f506,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(f507,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,[],[f506]) ).
fof(f528,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
fof(f623,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(f739,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(f740,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(f751,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__0__right_0) ).
fof(f752,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
inference(reorient_equations,[],[f751]) ).
fof(f757,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(f758,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,[],[f757]) ).
fof(f765,axiom,
! [X2,X0,X1] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__eq__0__iff_1) ).
fof(f766,plain,
! [X2,X0,X1] :
( c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 ),
inference(reorient_equations,[],[f765]) ).
fof(f803,axiom,
! [X0] :
( c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X0 = c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fundamental__theorem__of__algebra__alt_1) ).
fof(f804,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex)
| c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = X0 ),
inference(reorient_equations,[],[f803]) ).
fof(f805,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_Polynomial_Oorder(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_0) ).
fof(f806,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Oorder(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Opoly(X2,X1,X0) ),
inference(reorient_equations,[],[f805]) ).
fof(f807,axiom,
v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pe_0) ).
fof(f808,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p,
inference(reorient_equations,[],[f807]) ).
fof(f809,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(f810,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,[],[f809]) ).
fof(f827,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(f828,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,[],[f827]) ).
fof(f831,negated_conjecture,
! [X0] : c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f832,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f831]) ).
fof(f833,negated_conjecture,
v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f834,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(reorient_equations,[],[f833]) ).
fof(f919,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(f920,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(f946,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f951,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f961,axiom,
! [X0] :
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).
fof(f990,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex)
| c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),v_p,tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f804,f808]) ).
fof(f991,plain,
v_p != v_q,
inference(superposition,[],[f834,f808]) ).
fof(f993,plain,
! [X0,X1] : 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)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f445,f920]) ).
fof(f994,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f752,f920]) ).
fof(f995,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(unit_resulting_resolution,[],[f828,f920]) ).
fof(f996,plain,
! [X0] : v_p = c_Polynomial_Osmult(X0,v_p,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f994,f808]) ).
fof(f997,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f995,f808]) ).
fof(f999,plain,
! [X2,X0,X1] : c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f148,f920]) ).
fof(f1000,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(unit_resulting_resolution,[],[f810,f920]) ).
fof(f1001,plain,
! [X0] : v_p = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1000,f808]) ).
fof(f1002,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(unit_resulting_resolution,[],[f740,f919]) ).
fof(f1003,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Oorder(X0,v_q,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f806,f834,f832,f946]) ).
fof(f1008,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(unit_resulting_resolution,[],[f623,f920]) ).
fof(f1025,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(unit_resulting_resolution,[],[f758,f920]) ).
fof(f1026,plain,
! [X0] : v_p = c_Polynomial_Osynthetic__div(v_p,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1025,f808]) ).
fof(f1033,plain,
! [X0,X1] : c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),
inference(superposition,[],[f999,f1026]) ).
fof(f1037,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex) ),
inference(superposition,[],[f766,f999]) ).
fof(f1038,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[],[f1037,f951]) ).
fof(f1040,plain,
! [X0,X1] : c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1033,f997]) ).
fof(f1042,plain,
! [X2,X0,X1] :
( v_p != c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex) ),
inference(forward_demodulation,[],[f1038,f808]) ).
fof(f1044,plain,
! [X2,X0,X1] :
( v_p != c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)
| v_p = c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex) ),
inference(forward_demodulation,[],[f1042,f808]) ).
fof(f1072,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(unit_resulting_resolution,[],[f507,f919]) ).
fof(f1075,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f528,f919]) ).
fof(f1079,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(superposition,[],[f1002,f1075]) ).
fof(f1080,plain,
! [X0] : c_Polynomial_OpCons(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_p,c_Polynomial_Osmult(X0,v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[],[f993,f1026]) ).
fof(f1084,plain,
! [X0] : c_Polynomial_OpCons(c_Polynomial_Opoly(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[],[f993,f1001]) ).
fof(f1085,plain,
! [X0] : c_Polynomial_OpCons(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_p,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_demodulation,[],[f1080,f996]) ).
fof(f1086,plain,
c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_p,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_demodulation,[],[f1085,f997]) ).
fof(f1099,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1008,f832]) ).
fof(f1108,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1099,f1072]) ).
fof(f1111,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1108,f1079]) ).
fof(f1115,plain,
! [X0] :
( c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex) = c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex)),v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f990,f1111]) ).
fof(f1187,plain,
c_HOL_Oplus__class_Oplus(v_q,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(v_q,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1084,f832]) ).
fof(f1339,plain,
! [X0,X1] :
( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f1040,f1115]) ).
fof(f1351,plain,
! [X0,X1] :
( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_q,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_p,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f1339,f1086]) ).
fof(f1495,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unit_resulting_resolution,[],[f961,f919]) ).
fof(f1500,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(unit_resulting_resolution,[],[f739,f1495]) ).
fof(f1505,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(forward_demodulation,[],[f1500,f808]) ).
fof(f1631,plain,
! [X0,X1] :
( v_p != c_HOL_Oplus__class_Oplus(v_p,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_Polynomial_Osynthetic__div(v_q,X1,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f1044,f1351]) ).
fof(f1647,plain,
! [X0,X1] :
( v_p = c_Polynomial_Osynthetic__div(v_q,X1,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_subsumption_resolution,[],[f1631,f1505]) ).
fof(f1669,plain,
! [X0] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(v_q,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f1187,f1647]) ).
fof(f1883,plain,
! [X0] :
( v_q = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f1669,f1505]) ).
fof(f1890,plain,
! [X0] :
( v_q = c_HOL_Oplus__class_Oplus(v_p,v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f1883,f1086]) ).
fof(f1896,plain,
! [X0] :
( v_p = v_q
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f1890,f1505]) ).
fof(f1900,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0,
inference(forward_subsumption_resolution,[],[f1896,f991]) ).
fof(f2073,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[],[f1003,f1900]) ).
fof(f2087,plain,
$false,
inference(forward_subsumption_resolution,[],[f2073,f1900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG426-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n006.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 20:22:25 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.26 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
% 8.42/2.05 % (135671)Input is clausal, will run a generic CNF schedule.
% 8.42/2.05 % (135680)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1709275496:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.42/2.05 % (135680)Instruction limit reached!
% 8.42/2.05 % (135680)------------------------------
% 8.42/2.05 % (135680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135680)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135680)Termination reason: Instruction limit
% 8.42/2.05 % (135680)Termination phase: Saturation
% 8.42/2.05 % (135680)Time elapsed: 0.037 s
% 8.42/2.05 % (135680)Peak memory usage: 88 MB
% 8.42/2.05 % (135680)Instructions burned: 117 (million)
% 8.42/2.05 % (135676)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=2957059706:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.42/2.05 % (135681)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2156061707:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.42/2.05 % (135678)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=459658368:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.42/2.05 % (135682)dis-21_1_sil=8000:lcm=predicate:random_seed=1076223374: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)
% 8.42/2.05 % (135679)lrs+10_1_sil=8000:sp=occurrence:random_seed=1083328857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.42/2.05 % (135677)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2276201813:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.42/2.05 % (135682)Instruction limit reached!
% 8.42/2.05 % (135682)------------------------------
% 8.42/2.05 % (135682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135682)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135682)Termination reason: Instruction limit
% 8.42/2.05 % (135682)Termination phase: Saturation
% 8.42/2.05 % (135682)Time elapsed: 0.064 s
% 8.42/2.05 % (135682)Peak memory usage: 89 MB
% 8.42/2.05 % (135682)Instructions burned: 118 (million)
% 8.42/2.05 % (135679)Instruction limit reached!
% 8.42/2.05 % (135679)------------------------------
% 8.42/2.05 % (135679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135679)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135679)Termination reason: Instruction limit
% 8.42/2.05 % (135679)Termination phase: Saturation
% 8.42/2.05 % (135679)Time elapsed: 0.072 s
% 8.42/2.05 % (135679)Peak memory usage: 89 MB
% 8.42/2.05 % (135679)Instructions burned: 108 (million)
% 8.42/2.05 % (135684)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=460210431:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.42/2.05 % (135681)Instruction limit reached!
% 8.42/2.05 % (135681)------------------------------
% 8.42/2.05 % (135681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135681)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135681)Termination reason: Instruction limit
% 8.42/2.05 % (135681)Termination phase: Saturation
% 8.42/2.05 % (135681)Time elapsed: 0.123 s
% 8.42/2.05 % (135681)Peak memory usage: 90 MB
% 8.42/2.05 % (135681)Instructions burned: 180 (million)
% 8.42/2.05 % (135684)Instruction limit reached!
% 8.42/2.05 % (135684)------------------------------
% 8.42/2.05 % (135684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135684)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135684)Termination reason: Instruction limit
% 8.42/2.05 % (135684)Termination phase: Saturation
% 8.42/2.05 % (135684)Time elapsed: 0.045 s
% 8.42/2.05 % (135684)Peak memory usage: 89 MB
% 8.42/2.05 % (135684)Instructions burned: 145 (million)
% 8.42/2.05 % (135691)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1894462085: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)
% 8.42/2.05 % (135692)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=644173810:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.42/2.05 % (135695)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3819568278:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.42/2.05 % (135694)lrs+10_64_to=lpo:sil=8000:random_seed=1150188967:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.42/2.05 % (135691)Instruction limit reached!
% 8.42/2.05 % (135691)------------------------------
% 8.42/2.05 % (135691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135691)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135691)Termination reason: Instruction limit
% 8.42/2.05 % (135691)Termination phase: Saturation
% 8.42/2.05 % (135691)Time elapsed: 0.114 s
% 8.42/2.05 % (135691)Peak memory usage: 91 MB
% 8.42/2.05 % (135691)Instructions burned: 190 (million)
% 8.42/2.05 % (135695)Instruction limit reached!
% 8.42/2.05 % (135695)------------------------------
% 8.42/2.05 % (135695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135695)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135695)Termination reason: Instruction limit
% 8.42/2.05 % (135695)Termination phase: Saturation
% 8.42/2.05 % (135695)Time elapsed: 0.066 s
% 8.42/2.05 % (135695)Peak memory usage: 90 MB
% 8.42/2.05 % (135695)Instructions burned: 196 (million)
% 8.42/2.05 % (135692)Instruction limit reached!
% 8.42/2.05 % (135692)------------------------------
% 8.42/2.05 % (135692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135692)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135692)Termination reason: Instruction limit
% 8.42/2.05 % (135692)Termination phase: Saturation
% 8.42/2.05 % (135692)Time elapsed: 0.120 s
% 8.42/2.05 % (135692)Peak memory usage: 91 MB
% 8.42/2.05 % (135692)Instructions burned: 220 (million)
% 8.42/2.05 % (135694)Instruction limit reached!
% 8.42/2.05 % (135694)------------------------------
% 8.42/2.05 % (135694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135694)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135694)Termination reason: Instruction limit
% 8.42/2.05 % (135694)Termination phase: Saturation
% 8.42/2.05 % (135694)Time elapsed: 0.080 s
% 8.42/2.05 % (135694)Peak memory usage: 90 MB
% 8.42/2.05 % (135694)Instructions burned: 126 (million)
% 8.42/2.05 % (135701)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2432508033:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.42/2.05 % (135700)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3230688207:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.42/2.05 % (135702)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=1816663273:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.42/2.05 % (135703)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1467438975:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.42/2.05 % (135702)Instruction limit reached!
% 8.42/2.05 % (135702)------------------------------
% 8.42/2.05 % (135702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135702)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135702)Termination reason: Instruction limit
% 8.42/2.05 % (135702)Termination phase: Saturation
% 8.42/2.05 % (135702)Time elapsed: 0.063 s
% 8.42/2.05 % (135702)Peak memory usage: 90 MB
% 8.42/2.05 % (135702)Instructions burned: 106 (million)
% 8.42/2.05 % (135700)Instruction limit reached!
% 8.42/2.05 % (135700)------------------------------
% 8.42/2.05 % (135700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135700)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135700)Termination reason: Instruction limit
% 8.42/2.05 % (135700)Termination phase: Saturation
% 8.42/2.05 % (135700)Time elapsed: 0.093 s
% 8.42/2.05 % (135700)Peak memory usage: 90 MB
% 8.42/2.05 % (135700)Instructions burned: 157 (million)
% 8.42/2.05 % (135703)Instruction limit reached!
% 8.42/2.05 % (135703)------------------------------
% 8.42/2.05 % (135703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135703)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135703)Termination reason: Instruction limit
% 8.42/2.05 % (135703)Termination phase: Saturation
% 8.42/2.05 % (135703)Time elapsed: 0.068 s
% 8.42/2.05 % (135703)Peak memory usage: 90 MB
% 8.42/2.05 % (135703)Instructions burned: 107 (million)
% 8.42/2.05 % (135708)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=202599159:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.42/2.05 % (135709)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3941888751:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.42/2.05 % (135710)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2513634586:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.42/2.05 % (135710)Instruction limit reached!
% 8.42/2.05 % (135710)------------------------------
% 8.42/2.05 % (135710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135710)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135710)Termination reason: Instruction limit
% 8.42/2.05 % (135710)Termination phase: Saturation
% 8.42/2.05 % (135710)Time elapsed: 0.088 s
% 8.42/2.05 % (135710)Peak memory usage: 89 MB
% 8.42/2.05 % (135710)Instructions burned: 134 (million)
% 8.42/2.05 % (135708)Instruction limit reached!
% 8.42/2.05 % (135708)------------------------------
% 8.42/2.05 % (135708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135708)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135708)Termination reason: Instruction limit
% 8.42/2.05 % (135708)Termination phase: Saturation
% 8.42/2.05 % (135708)Time elapsed: 0.147 s
% 8.42/2.05 % (135708)Peak memory usage: 90 MB
% 8.42/2.05 % (135708)Instructions burned: 242 (million)
% 8.42/2.05 % (135677)First to succeed.
% 8.42/2.05 % (135677)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-135671"
% 8.42/2.05 % (135676)Also succeeded, but the first one will report.
% 8.42/2.05 % (135714)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=9405656:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.42/2.05 % (135715)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1049787288:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.42/2.05 % (135701)Also succeeded, but the first one will report.
% 8.42/2.05 % (135715)Instruction limit reached!
% 8.42/2.05 % (135715)------------------------------
% 8.42/2.05 % (135715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.05 % (135715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.05 % (135715)CaDiCaL version: 2.1.3
% 8.42/2.05 % (135715)Termination reason: Instruction limit
% 8.42/2.05 % (135715)Termination phase: Saturation
% 8.42/2.05 % (135715)Time elapsed: 0.126 s
% 8.42/2.05 % (135715)Peak memory usage: 92 MB
% 8.42/2.05 % (135715)Instructions burned: 191 (million)
% 8.42/2.05 % (135677)Refutation found. Thanks to Tanya!
% 8.42/2.05 % SZS status Unsatisfiable for theBenchmark
% 8.42/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 10.00/2.25 % (135677)------------------------------
% 10.00/2.25 % (135677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.00/2.25 % (135677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/2.25 % (135677)CaDiCaL version: 2.1.3
% 10.00/2.25 % (135677)Termination reason: Refutation
% 10.00/2.25 % (135677)Time elapsed: 0.885 s
% 10.00/2.25 % (135677)Peak memory usage: 138 MB
% 10.00/2.25 % (135677)Instructions burned: 1368 (million)
% 10.00/2.25 % (135677)------------------------------
% 10.00/2.25 % (135677)------------------------------
% 10.00/2.25 % (135671)Success in time 1.346 s
% 10.00/2.25 % Vampire exiting
%------------------------------------------------------------------------------