%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG401-1 : 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 : n007.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 09:19:56 AM UTC 2026
% Result : Unsatisfiable 9.47s 2.09s
% Output : Refutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of formulae : 106 ( 92 unt; 11 def)
% Number of atoms : 120 ( 102 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-3 aty)
% Number of variables : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f858,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(f859,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,[],[f858]) ).
fof(f880,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(f881,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,[],[f880]) ).
fof(f896,axiom,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).
fof(f940,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(f952,axiom,
! [X0] : c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_kas_I4_J_0) ).
fof(f998,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_Osemiring__rules_I24_J_0) ).
fof(f1052,axiom,
! [X0] :
( ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__zero_0) ).
fof(f1053,plain,
! [X0] :
( ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) ),
inference(reorient_equations,[],[f1052]) ).
fof(f1094,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I11_J_0) ).
fof(f1101,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(f1112,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).
fof(f1113,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
inference(reorient_equations,[],[f1112]) ).
fof(f1119,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__smult_0) ).
fof(f1129,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(f1130,axiom,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1131,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1130]) ).
fof(f1132,axiom,
v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1134,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1241,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f1242,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(f1243,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(f1323,definition,
sF0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1324,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF0,
inference(reorient_equations,[],[f1323]) ).
fof(f1325,definition,
sF1 = c_Polynomial_Opoly(v_q____,sF0,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1326,plain,
c_Polynomial_Opoly(v_q____,sF0,tc_Complex_Ocomplex) = sF1,
inference(reorient_equations,[],[f1325]) ).
fof(f1327,definition,
sF2 = c_HOL_Oinverse__class_Oinverse(sF1,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1328,plain,
c_HOL_Oinverse__class_Oinverse(sF1,tc_Complex_Ocomplex) = sF2,
inference(reorient_equations,[],[f1327]) ).
fof(f1329,definition,
sF3 = c_Polynomial_Osmult(sF2,v_q____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1330,plain,
c_Polynomial_Osmult(sF2,v_q____,tc_Complex_Ocomplex) = sF3,
inference(reorient_equations,[],[f1329]) ).
fof(f1331,definition,
sF4 = c_Polynomial_Opoly(sF3,v_w____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1332,plain,
c_Polynomial_Opoly(sF3,v_w____,tc_Complex_Ocomplex) = sF4,
inference(reorient_equations,[],[f1331]) ).
fof(f1333,definition,
sF5 = c_RealVector_Onorm__class_Onorm(sF4,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1334,plain,
c_RealVector_Onorm__class_Onorm(sF4,tc_Complex_Ocomplex) = sF5,
inference(reorient_equations,[],[f1333]) ).
fof(f1335,definition,
sF6 = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1336,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = sF6,
inference(reorient_equations,[],[f1335]) ).
fof(f1337,definition,
sF7 = c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1338,plain,
c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex) = sF7,
inference(reorient_equations,[],[f1337]) ).
fof(f1339,definition,
sF8 = c_HOL_Otimes__class_Otimes(v_a____,sF7,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1340,plain,
c_HOL_Otimes__class_Otimes(v_a____,sF7,tc_Complex_Ocomplex) = sF8,
inference(reorient_equations,[],[f1339]) ).
fof(f1341,definition,
sF9 = c_HOL_Oplus__class_Oplus(sF6,sF8,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f1342,plain,
c_HOL_Oplus__class_Oplus(sF6,sF8,tc_Complex_Ocomplex) = sF9,
inference(reorient_equations,[],[f1341]) ).
fof(f1343,definition,
sF10 = c_RealVector_Onorm__class_Onorm(sF9,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f1344,plain,
c_RealVector_Onorm__class_Onorm(sF9,tc_Complex_Ocomplex) = sF10,
inference(reorient_equations,[],[f1343]) ).
fof(f1345,plain,
sF5 != sF10,
inference(definition_folding,[],[f1134,f1344,f1342,f1340,f1338,f1336,f1334,f1332,f1330,f1328,f1326,f1324]) ).
fof(f1347,plain,
! [X0] : c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f952,f1131]) ).
fof(f1357,plain,
! [X0] : c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1347,f1336]) ).
fof(f1359,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1357,f1324]) ).
fof(f1361,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(sF1,tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1359,f1326]) ).
fof(f1362,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(sF2,v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1361,f1328]) ).
fof(f1363,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(sF3,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1362,f1330]) ).
fof(f1369,plain,
c_Polynomial_Opoly(sF3,v_w____,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(sF7,c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1363,f1338]) ).
fof(f1370,plain,
sF4 = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Otimes__class_Otimes(sF7,c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1369,f1332]) ).
fof(f1387,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f1243,f1119]) ).
fof(f1388,plain,
! [X0] : c_Polynomial_Opoly(sF3,X0,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(sF2,c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1387,f1330]) ).
fof(f1402,plain,
c_Polynomial_Opoly(sF3,sF0,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(sF2,sF1,tc_Complex_Ocomplex),
inference(superposition,[],[f1388,f1326]) ).
fof(f1412,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1387,f1131]) ).
fof(f1413,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1412,f1324]) ).
fof(f1418,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(sF1,tc_Complex_Ocomplex),sF1,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1413,f1326]) ).
fof(f1423,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(sF2,sF1,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1418,f1328]) ).
fof(f1428,plain,
sF6 = c_HOL_Otimes__class_Otimes(sF2,sF1,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1423,f1336]) ).
fof(f1438,plain,
! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f1094,f1242]) ).
fof(f1439,plain,
! [X0] : c_HOL_Otimes__class_Otimes(sF6,X0,tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1438,f1336]) ).
fof(f1444,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f1129,f1242]) ).
fof(f1445,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF0,X0,tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1444,f1324]) ).
fof(f1446,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(resolution,[],[f998,f1242]) ).
fof(f1454,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,sF0,tc_Complex_Ocomplex) = X0,
inference(superposition,[],[f1445,f1446]) ).
fof(f1509,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(resolution,[],[f1101,f1242]) ).
fof(f1540,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),
inference(superposition,[],[f896,f1509]) ).
fof(f1545,plain,
sF8 = c_HOL_Otimes__class_Otimes(sF7,v_a____,tc_Complex_Ocomplex),
inference(superposition,[],[f1340,f1509]) ).
fof(f1551,plain,
! [X0] : c_HOL_Otimes__class_Otimes(X0,sF6,tc_Complex_Ocomplex) = X0,
inference(superposition,[],[f1439,f1509]) ).
fof(f1603,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,[],[f859,f1243]) ).
fof(f1604,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_s____,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1603,f1132]) ).
fof(f1605,plain,
! [X0] : sF0 = c_Polynomial_Opoly(v_s____,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1604,f1324]) ).
fof(f1606,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,[],[f940,f1243]) ).
fof(f1611,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_s____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1606,f1605]) ).
fof(f1613,plain,
! [X0] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,sF3,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(sF0,c_HOL_Otimes__class_Otimes(sF2,sF1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1606,f1402]) ).
fof(f1624,plain,
! [X0] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,sF3,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(sF0,sF6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1613,f1428]) ).
fof(f1626,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,sF0,tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,sF3,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1624,f1551]) ).
fof(f1628,plain,
! [X0] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,sF3,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1626,f1454]) ).
fof(f1674,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f1053,f1241]) ).
fof(f1675,plain,
sF0 = c_HOL_Oinverse__class_Oinverse(sF0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1674,f1324]) ).
fof(f1676,plain,
! [X0] : c_HOL_Otimes__class_Otimes(sF0,X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,sF0,tc_Complex_Ocomplex),
inference(superposition,[],[f1540,f1675]) ).
fof(f1677,plain,
! [X0] : c_HOL_Otimes__class_Otimes(X0,sF0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,sF0,tc_Complex_Ocomplex),
inference(superposition,[],[f896,f1675]) ).
fof(f1769,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,[],[f881,f1243]) ).
fof(f1770,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(sF0,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1769,f1324]) ).
fof(f1771,plain,
! [X0] : v_s____ = c_Polynomial_Osmult(sF0,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1770,f1132]) ).
fof(f1773,plain,
! [X0,X1] : c_Polynomial_Opoly(v_s____,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(sF0,c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1387,f1771]) ).
fof(f1776,plain,
! [X0,X1] : c_Polynomial_Opoly(v_s____,X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1773,f1676]) ).
fof(f1778,plain,
! [X0,X1] : sF0 = c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex),sF0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1776,f1605]) ).
fof(f1782,plain,
! [X0] : sF0 = c_HOL_Oinverse__class_Odivide(X0,sF0,tc_Complex_Ocomplex),
inference(superposition,[],[f1778,f1628]) ).
fof(f2052,plain,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(resolution,[],[f1113,f1242]) ).
fof(f2064,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(sF8,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF9,X0,tc_Complex_Ocomplex),
inference(superposition,[],[f2052,f1342]) ).
fof(f2066,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f2052,f1370]) ).
fof(f2085,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(v_w____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2066,f1611]) ).
fof(f2095,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Oinverse__class_Odivide(v_w____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2085,f1677]) ).
fof(f2101,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_HOL_Oplus__class_Oplus(v_a____,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2095,f1782]) ).
fof(f2106,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,v_a____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2101,f1454]) ).
fof(f2111,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF6,c_HOL_Oplus__class_Oplus(sF8,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2106,f1545]) ).
fof(f2115,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(sF9,X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2111,f2064]) ).
fof(f2142,plain,
sF9 = c_HOL_Oplus__class_Oplus(sF4,sF0,tc_Complex_Ocomplex),
inference(superposition,[],[f1454,f2115]) ).
fof(f2143,plain,
sF4 = sF9,
inference(forward_demodulation,[],[f2142,f1454]) ).
fof(f2149,plain,
c_RealVector_Onorm__class_Onorm(sF4,tc_Complex_Ocomplex) = sF10,
inference(superposition,[],[f1344,f2143]) ).
fof(f2150,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f2149,f1334]) ).
fof(f2151,plain,
$false,
inference(forward_subsumption_resolution,[],[f2150,f1345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG401-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n007.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 20:16:41 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 9.47/2.09 % (2757987)Input is clausal, will run a generic CNF schedule.
% 9.47/2.09 % (2757998)dis-21_1_sil=8000:lcm=predicate:random_seed=1027233141: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)
% 9.47/2.09 % (2757998)Instruction limit reached!
% 9.47/2.09 % (2757998)------------------------------
% 9.47/2.09 % (2757998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2757998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2757998)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2757998)Termination reason: Instruction limit
% 9.47/2.09 % (2757998)Termination phase: Saturation
% 9.47/2.09 % (2757998)Time elapsed: 0.036 s
% 9.47/2.09 % (2757998)Peak memory usage: 90 MB
% 9.47/2.09 % (2757998)Instructions burned: 117 (million)
% 9.47/2.09 % (2757992)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=3185638762:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.47/2.09 % (2757997)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4178286901:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.47/2.09 % (2757993)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3015195758:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.47/2.09 % (2757996)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2144196207:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.47/2.09 % (2757994)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=652388382:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.47/2.09 % (2757995)lrs+10_1_sil=8000:sp=occurrence:random_seed=2956321136:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.47/2.09 % (2757996)Instruction limit reached!
% 9.47/2.09 % (2757996)------------------------------
% 9.47/2.09 % (2757996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2757996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2757996)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2757996)Termination reason: Instruction limit
% 9.47/2.09 % (2757996)Termination phase: Saturation
% 9.47/2.09 % (2757996)Time elapsed: 0.072 s
% 9.47/2.09 % (2757996)Peak memory usage: 89 MB
% 9.47/2.09 % (2757996)Instructions burned: 115 (million)
% 9.47/2.09 % (2757995)Instruction limit reached!
% 9.47/2.09 % (2757995)------------------------------
% 9.47/2.09 % (2757995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2757995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2757995)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2757995)Termination reason: Instruction limit
% 9.47/2.09 % (2757995)Termination phase: Saturation
% 9.47/2.09 % (2757995)Time elapsed: 0.072 s
% 9.47/2.09 % (2757995)Peak memory usage: 90 MB
% 9.47/2.09 % (2757995)Instructions burned: 107 (million)
% 9.47/2.09 % (2758006)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=2272789756:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.47/2.09 % (2757997)Instruction limit reached!
% 9.47/2.09 % (2757997)------------------------------
% 9.47/2.09 % (2757997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2757997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2757997)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2757997)Termination reason: Instruction limit
% 9.47/2.09 % (2757997)Termination phase: Saturation
% 9.47/2.09 % (2757997)Time elapsed: 0.124 s
% 9.47/2.09 % (2757997)Peak memory usage: 91 MB
% 9.47/2.09 % (2757997)Instructions burned: 181 (million)
% 9.47/2.09 % (2758006)Refutation not found, incomplete strategy
% 9.47/2.09 % (2758006)------------------------------
% 9.47/2.09 % (2758006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758006)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758006)Termination reason: Refutation not found, incomplete strategy
% 9.47/2.09 % (2758006)Time elapsed: 0.009 s
% 9.47/2.09 % (2758006)Peak memory usage: 89 MB
% 9.47/2.09 % (2758006)Instructions burned: 26 (million)
% 9.47/2.09 % (2758007)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2627094232: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)
% 9.47/2.09 % (2758008)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4273410344:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.47/2.09 % (2758006)------------------------------
% 9.47/2.09 % (2758006)------------------------------
% 9.47/2.09 % (2758010)lrs+10_64_to=lpo:sil=8000:random_seed=3781217492:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.47/2.09 % (2758007)Instruction limit reached!
% 9.47/2.09 % (2758007)------------------------------
% 9.47/2.09 % (2758007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758007)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758007)Termination reason: Instruction limit
% 9.47/2.09 % (2758007)Termination phase: Saturation
% 9.47/2.09 % (2758007)Time elapsed: 0.105 s
% 9.47/2.09 % (2758007)Peak memory usage: 91 MB
% 9.47/2.09 % (2758007)Instructions burned: 191 (million)
% 9.47/2.09 % (2758008)Instruction limit reached!
% 9.47/2.09 % (2758008)------------------------------
% 9.47/2.09 % (2758008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758008)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758008)Termination reason: Instruction limit
% 9.47/2.09 % (2758008)Termination phase: Saturation
% 9.47/2.09 % (2758008)Time elapsed: 0.116 s
% 9.47/2.09 % (2758008)Peak memory usage: 90 MB
% 9.47/2.09 % (2758008)Instructions burned: 219 (million)
% 9.47/2.09 % (2758010)Instruction limit reached!
% 9.47/2.09 % (2758010)------------------------------
% 9.47/2.09 % (2758010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758010)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758010)Termination reason: Instruction limit
% 9.47/2.09 % (2758010)Termination phase: Saturation
% 9.47/2.09 % (2758010)Time elapsed: 0.082 s
% 9.47/2.09 % (2758010)Peak memory usage: 91 MB
% 9.47/2.09 % (2758010)Instructions burned: 126 (million)
% 9.47/2.09 % (2758014)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2550562356:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.47/2.09 % (2758014)Instruction limit reached!
% 9.47/2.09 % (2758014)------------------------------
% 9.47/2.09 % (2758014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758014)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758014)Termination reason: Instruction limit
% 9.47/2.09 % (2758014)Termination phase: Saturation
% 9.47/2.09 % (2758014)Time elapsed: 0.072 s
% 9.47/2.09 % (2758014)Peak memory usage: 91 MB
% 9.47/2.09 % (2758014)Instructions burned: 195 (million)
% 9.47/2.09 % (2758015)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=696523310:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.47/2.09 % (2758016)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3329047220:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.47/2.09 % (2758017)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=4174152629:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.47/2.09 % (2758015)Instruction limit reached!
% 9.47/2.09 % (2758015)------------------------------
% 9.47/2.09 % (2758015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758015)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758015)Termination reason: Instruction limit
% 9.47/2.09 % (2758015)Termination phase: Saturation
% 9.47/2.09 % (2758015)Time elapsed: 0.101 s
% 9.47/2.09 % (2758015)Peak memory usage: 91 MB
% 9.47/2.09 % (2758015)Instructions burned: 158 (million)
% 9.47/2.09 % (2758017)Instruction limit reached!
% 9.47/2.09 % (2758017)------------------------------
% 9.47/2.09 % (2758017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758017)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758017)Termination reason: Instruction limit
% 9.47/2.09 % (2758017)Termination phase: Saturation
% 9.47/2.09 % (2758017)Time elapsed: 0.066 s
% 9.47/2.09 % (2758017)Peak memory usage: 90 MB
% 9.47/2.09 % (2758017)Instructions burned: 108 (million)
% 9.47/2.09 % (2758020)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3075401388:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.47/2.09 % (2758020)Refutation not found, incomplete strategy
% 9.47/2.09 % (2758020)------------------------------
% 9.47/2.09 % (2758020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758020)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758020)Termination reason: Refutation not found, incomplete strategy
% 9.47/2.09 % (2758020)Time elapsed: 0.010 s
% 9.47/2.09 % (2758020)Peak memory usage: 89 MB
% 9.47/2.09 % (2758020)Instructions burned: 27 (million)
% 9.47/2.09 % (2758025)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2726196081:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.47/2.09 % (2758023)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2660351626:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.47/2.09 % (2758020)------------------------------
% 9.47/2.09 % (2758020)------------------------------
% 9.47/2.09 % (2758028)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=512722839:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.47/2.09 % (2758023)Instruction limit reached!
% 9.47/2.09 % (2758023)------------------------------
% 9.47/2.09 % (2758023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758023)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758023)Termination reason: Instruction limit
% 9.47/2.09 % (2758023)Termination phase: Saturation
% 9.47/2.09 % (2758023)Time elapsed: 0.149 s
% 9.47/2.09 % (2758023)Peak memory usage: 90 MB
% 9.47/2.09 % (2758023)Instructions burned: 244 (million)
% 9.47/2.09 % (2757992)First to succeed.
% 9.47/2.09 % (2757992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2757987"
% 9.47/2.09 % (2757994)Also succeeded, but the first one will report.
% 9.47/2.09 % (2758028)Instruction limit reached!
% 9.47/2.09 % (2758028)------------------------------
% 9.47/2.09 % (2758028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758028)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758028)Termination reason: Instruction limit
% 9.47/2.09 % (2758028)Termination phase: Saturation
% 9.47/2.09 % (2758028)Time elapsed: 0.048 s
% 9.47/2.09 % (2758028)Peak memory usage: 90 MB
% 9.47/2.09 % (2758028)Instructions burned: 137 (million)
% 9.47/2.09 % (2758030)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=198029539:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 9.47/2.09 % (2758031)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=127763101:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 9.47/2.09 % (2758031)Instruction limit reached!
% 9.47/2.09 % (2758031)------------------------------
% 9.47/2.09 % (2758031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2758031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2758031)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2758031)Termination reason: Instruction limit
% 9.47/2.09 % (2758031)Termination phase: Saturation
% 9.47/2.09 % (2758031)Time elapsed: 0.068 s
% 9.47/2.09 % (2758031)Peak memory usage: 92 MB
% 9.47/2.09 % (2758031)Instructions burned: 192 (million)
% 9.47/2.09 % (2757992)Refutation found. Thanks to Tanya!
% 9.47/2.09 % SZS status Unsatisfiable for theBenchmark
% 9.47/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 10.13/2.18 % (2757992)------------------------------
% 10.13/2.18 % (2757992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.18 % (2757992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.18 % (2757992)CaDiCaL version: 2.1.3
% 10.13/2.18 % (2757992)Termination reason: Refutation
% 10.13/2.18 % (2757992)Time elapsed: 0.920 s
% 10.13/2.18 % (2757992)Peak memory usage: 143 MB
% 10.13/2.18 % (2757992)Instructions burned: 1422 (million)
% 10.13/2.18 % (2757992)------------------------------
% 10.13/2.18 % (2757992)------------------------------
% 10.13/2.18 % (2757987)Success in time 1.396 s
% 10.13/2.18 % Vampire exiting
%------------------------------------------------------------------------------