%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG355-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:19:51 AM UTC 2026
% Result : Unsatisfiable 27.50s 4.36s
% Output : Refutation 27.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 33
% Syntax : Number of formulae : 104 ( 86 unt; 21 def)
% Number of atoms : 122 ( 99 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 26 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f752,axiom,
! [X0,X1] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_realpow__two__le__add__order_0) ).
fof(f753,axiom,
! [X0] :
( c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal) = X0
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__pow2_0) ).
fof(f790,axiom,
! [X0,X1] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
fof(f847,axiom,
! [X0] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
fof(f848,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)),
inference(reorient_equations,[],[f847]) ).
fof(f1057,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex) = c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cmod__def_0) ).
fof(f1068,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__mult__self_0) ).
fof(f1069,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(reorient_equations,[],[f1068]) ).
fof(f1081,axiom,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(f1125,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power2__eq__square_0) ).
fof(f1126,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,X1,X0) = c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0)
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
inference(reorient_equations,[],[f1125]) ).
fof(f1178,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Complex_OIm(v_b),c_Complex_OIm(v_b),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Complex_ORe(v_b),c_Complex_ORe(v_b),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1288,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1302,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f1309,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
fof(f1360,definition,
sF0 = c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1361,plain,
c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex) = sF0,
inference(reorient_equations,[],[f1360]) ).
fof(f1362,definition,
sF1 = c_Complex_ORe(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1363,plain,
c_Complex_ORe(sF0) = sF1,
inference(reorient_equations,[],[f1362]) ).
fof(f1364,definition,
sF2 = c_Int_OBit1(c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1365,plain,
c_Int_OBit1(c_Int_OPls) = sF2,
inference(reorient_equations,[],[f1364]) ).
fof(f1366,definition,
sF3 = c_Int_OBit0(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1367,plain,
c_Int_OBit0(sF2) = sF3,
inference(reorient_equations,[],[f1366]) ).
fof(f1368,definition,
sF4 = c_Int_Onumber__class_Onumber__of(sF3,tc_nat),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1369,plain,
c_Int_Onumber__class_Onumber__of(sF3,tc_nat) = sF4,
inference(reorient_equations,[],[f1368]) ).
fof(f1370,definition,
sF5 = c_Power_Opower__class_Opower(sF1,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1371,plain,
c_Power_Opower__class_Opower(sF1,sF4,tc_RealDef_Oreal) = sF5,
inference(reorient_equations,[],[f1370]) ).
fof(f1372,definition,
sF6 = c_Complex_OIm(sF0),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1373,plain,
c_Complex_OIm(sF0) = sF6,
inference(reorient_equations,[],[f1372]) ).
fof(f1374,definition,
sF7 = c_Power_Opower__class_Opower(sF6,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1375,plain,
c_Power_Opower__class_Opower(sF6,sF4,tc_RealDef_Oreal) = sF7,
inference(reorient_equations,[],[f1374]) ).
fof(f1376,definition,
sF8 = c_HOL_Oplus__class_Oplus(sF5,sF7,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1377,plain,
c_HOL_Oplus__class_Oplus(sF5,sF7,tc_RealDef_Oreal) = sF8,
inference(reorient_equations,[],[f1376]) ).
fof(f1378,definition,
sF9 = c_Complex_OIm(v_b),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f1379,plain,
c_Complex_OIm(v_b) = sF9,
inference(reorient_equations,[],[f1378]) ).
fof(f1380,definition,
sF10 = c_HOL_Otimes__class_Otimes(sF9,sF9,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f1381,plain,
c_HOL_Otimes__class_Otimes(sF9,sF9,tc_RealDef_Oreal) = sF10,
inference(reorient_equations,[],[f1380]) ).
fof(f1382,definition,
sF11 = c_Complex_ORe(v_b),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f1383,plain,
c_Complex_ORe(v_b) = sF11,
inference(reorient_equations,[],[f1382]) ).
fof(f1384,definition,
sF12 = c_HOL_Otimes__class_Otimes(sF11,sF11,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f1385,plain,
c_HOL_Otimes__class_Otimes(sF11,sF11,tc_RealDef_Oreal) = sF12,
inference(reorient_equations,[],[f1384]) ).
fof(f1386,definition,
sF13 = c_HOL_Oplus__class_Oplus(sF10,sF12,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f1387,plain,
c_HOL_Oplus__class_Oplus(sF10,sF12,tc_RealDef_Oreal) = sF13,
inference(reorient_equations,[],[f1386]) ).
fof(f1388,definition,
sF14 = c_HOL_Oabs__class_Oabs(sF13,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f1389,plain,
c_HOL_Oabs__class_Oabs(sF13,tc_RealDef_Oreal) = sF14,
inference(reorient_equations,[],[f1388]) ).
fof(f1390,definition,
sF15 = c_HOL_Otimes__class_Otimes(sF8,sF14,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f1391,plain,
c_HOL_Otimes__class_Otimes(sF8,sF14,tc_RealDef_Oreal) = sF15,
inference(reorient_equations,[],[f1390]) ).
fof(f1392,definition,
sF16 = c_RealVector_Onorm__class_Onorm(sF0,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f1393,plain,
c_RealVector_Onorm__class_Onorm(sF0,tc_Complex_Ocomplex) = sF16,
inference(reorient_equations,[],[f1392]) ).
fof(f1394,definition,
sF17 = c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f1395,plain,
c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal) = sF17,
inference(reorient_equations,[],[f1394]) ).
fof(f1396,definition,
sF18 = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f1397,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = sF18,
inference(reorient_equations,[],[f1396]) ).
fof(f1398,definition,
sF19 = c_Power_Opower__class_Opower(sF18,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f1399,plain,
c_Power_Opower__class_Opower(sF18,sF4,tc_RealDef_Oreal) = sF19,
inference(reorient_equations,[],[f1398]) ).
fof(f1400,definition,
sF20 = c_HOL_Otimes__class_Otimes(sF17,sF19,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f1401,plain,
c_HOL_Otimes__class_Otimes(sF17,sF19,tc_RealDef_Oreal) = sF20,
inference(reorient_equations,[],[f1400]) ).
fof(f1402,plain,
sF15 != sF20,
inference(definition_folding,[],[f1178,f1401,f1399,f1369,f1367,f1365,f1397,f1395,f1369,f1367,f1365,f1393,f1361,f1391,f1389,f1387,f1385,f1383,f1383,f1381,f1379,f1379,f1377,f1375,f1369,f1367,f1365,f1373,f1361,f1371,f1369,f1367,f1365,f1363,f1361]) ).
fof(f1963,plain,
! [X0] :
( c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF2),tc_nat),tc_RealDef_Oreal) = X0
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(superposition,[],[f753,f1365]) ).
fof(f1971,plain,
! [X0] :
( c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(sF3,tc_nat),tc_RealDef_Oreal) = X0
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1963,f1367]) ).
fof(f1977,plain,
! [X0] :
( c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),sF4,tc_RealDef_Oreal) = X0
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1971,f1369]) ).
fof(f3417,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X0,X0,X1) = c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF2),tc_nat),X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(superposition,[],[f1126,f1365]) ).
fof(f3498,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X0,X0,X1) = c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(sF3,tc_nat),X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(forward_demodulation,[],[f3417,f1367]) ).
fof(f3546,plain,
! [X0,X1] :
( c_HOL_Otimes__class_Otimes(X0,X0,X1) = c_Power_Opower__class_Opower(X0,sF4,X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(forward_demodulation,[],[f3498,f1369]) ).
fof(f3668,plain,
( sF19 = c_HOL_Otimes__class_Otimes(sF18,sF18,tc_RealDef_Oreal)
| ~ class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
inference(superposition,[],[f1399,f3546]) ).
fof(f3686,plain,
sF19 = c_HOL_Otimes__class_Otimes(sF18,sF18,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f3668,f1309]) ).
fof(f3739,plain,
c_NthRoot_Osqrt(sF19) = c_HOL_Oabs__class_Oabs(sF18,tc_RealDef_Oreal),
inference(superposition,[],[f848,f3686]) ).
fof(f7766,plain,
( c_HOL_Otimes__class_Otimes(sF18,sF18,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(sF19),c_NthRoot_Osqrt(sF19),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(superposition,[],[f1069,f3739]) ).
fof(f7813,plain,
c_HOL_Otimes__class_Otimes(sF18,sF18,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(sF19),c_NthRoot_Osqrt(sF19),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f7766,f1302]) ).
fof(f7839,plain,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(sF19,sF19,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(sF18,sF18,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f7813,f790]) ).
fof(f7859,plain,
sF19 = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(sF19,sF19,tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7839,f3686]) ).
fof(f7869,plain,
sF19 = c_HOL_Oabs__class_Oabs(sF19,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f7859,f848]) ).
fof(f28794,plain,
! [X0] :
( c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f1977,f1057]) ).
fof(f28803,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f28794,f752]) ).
fof(f28823,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF2),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF2),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28803,f1365]) ).
fof(f28841,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),c_Int_Onumber__class_Onumber__of(sF3,tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),c_Int_Onumber__class_Onumber__of(sF3,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28823,f1367]) ).
fof(f28853,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(X0),sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_Complex_OIm(X0),sF4,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28841,f1369]) ).
fof(f28874,plain,
c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(v_b),sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF9,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(superposition,[],[f28853,f1379]) ).
fof(f28875,plain,
c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(sF0),sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF6,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(sF0,tc_Complex_Ocomplex),sF4,tc_RealDef_Oreal),
inference(superposition,[],[f28853,f1373]) ).
fof(f28888,plain,
c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(sF0),sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF6,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28875,f1393]) ).
fof(f28889,plain,
c_Power_Opower__class_Opower(sF18,sF4,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(v_b),sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF9,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28874,f1397]) ).
fof(f28892,plain,
c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_Complex_ORe(sF0),sF4,tc_RealDef_Oreal),sF7,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28888,f1375]) ).
fof(f28893,plain,
c_Power_Opower__class_Opower(sF18,sF4,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF11,sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF9,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28889,f1383]) ).
fof(f28896,plain,
c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF1,sF4,tc_RealDef_Oreal),sF7,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28892,f1363]) ).
fof(f28897,plain,
sF19 = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF11,sF4,tc_RealDef_Oreal),c_Power_Opower__class_Opower(sF9,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28893,f1399]) ).
fof(f28900,plain,
c_HOL_Oplus__class_Oplus(sF5,sF7,tc_RealDef_Oreal) = c_Power_Opower__class_Opower(sF16,sF4,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f28896,f1371]) ).
fof(f28902,plain,
c_HOL_Oplus__class_Oplus(sF5,sF7,tc_RealDef_Oreal) = sF17,
inference(forward_demodulation,[],[f28900,f1395]) ).
fof(f28904,plain,
sF8 = sF17,
inference(forward_demodulation,[],[f28902,f1377]) ).
fof(f28906,plain,
sF20 = c_HOL_Otimes__class_Otimes(sF8,sF19,tc_RealDef_Oreal),
inference(superposition,[],[f1401,f28904]) ).
fof(f28988,plain,
( sF19 = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF11,sF4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF9,sF9,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
inference(superposition,[],[f28897,f3546]) ).
fof(f29017,plain,
sF19 = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF11,sF4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF9,sF9,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f28988,f1309]) ).
fof(f29021,plain,
sF19 = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(sF11,sF4,tc_RealDef_Oreal),sF10,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f29017,f1381]) ).
fof(f29026,plain,
( sF19 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF11,sF11,tc_RealDef_Oreal),sF10,tc_RealDef_Oreal)
| ~ class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
inference(superposition,[],[f29021,f3546]) ).
fof(f29055,plain,
sF19 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF11,sF11,tc_RealDef_Oreal),sF10,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f29026,f1309]) ).
fof(f29057,plain,
sF19 = c_HOL_Oplus__class_Oplus(sF12,sF10,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f29055,f1385]) ).
fof(f29087,plain,
( c_HOL_Oplus__class_Oplus(sF10,sF12,tc_RealDef_Oreal) = sF19
| ~ class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
inference(superposition,[],[f1081,f29057]) ).
fof(f29096,plain,
c_HOL_Oplus__class_Oplus(sF10,sF12,tc_RealDef_Oreal) = sF19,
inference(forward_subsumption_resolution,[],[f29087,f1288]) ).
fof(f29105,plain,
sF13 = sF19,
inference(forward_demodulation,[],[f29096,f1387]) ).
fof(f29120,plain,
sF13 = c_HOL_Oabs__class_Oabs(sF13,tc_RealDef_Oreal),
inference(superposition,[],[f7869,f29105]) ).
fof(f29132,plain,
sF20 = c_HOL_Otimes__class_Otimes(sF8,sF13,tc_RealDef_Oreal),
inference(superposition,[],[f28906,f29105]) ).
fof(f29411,plain,
sF13 = sF14,
inference(superposition,[],[f1389,f29120]) ).
fof(f29417,plain,
sF15 = c_HOL_Otimes__class_Otimes(sF8,sF13,tc_RealDef_Oreal),
inference(superposition,[],[f1391,f29411]) ).
fof(f29533,plain,
sF15 = sF20,
inference(superposition,[],[f29132,f29417]) ).
fof(f29584,plain,
$false,
inference(forward_subsumption_resolution,[],[f29533,f1402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG355-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:07:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.28/1.94 % (2755408)Input is clausal, will run a generic CNF schedule.
% 9.28/1.94 % (2755418)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1173396776:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.28/1.94 % (2755419)dis-21_1_sil=8000:lcm=predicate:random_seed=3961247035: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)
% 9.28/1.94 % (2755416)lrs+10_1_sil=8000:sp=occurrence:random_seed=4160882057:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.28/1.94 % (2755417)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2760436837:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.28/1.94 % (2755414)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2338078286:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.28/1.94 % (2755413)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=1631354214:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.28/1.94 % (2755415)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=862662347:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.28/1.94 % (2755418)Instruction limit reached!
% 9.28/1.94 % (2755418)------------------------------
% 9.28/1.94 % (2755418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/1.94 % (2755418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/1.94 % (2755418)CaDiCaL version: 2.1.3
% 9.28/1.94 % (2755418)Termination reason: Instruction limit
% 9.28/1.94 % (2755418)Termination phase: Saturation
% 9.28/1.94 % (2755418)Time elapsed: 0.061 s
% 9.28/1.94 % (2755418)Peak memory usage: 90 MB
% 9.28/1.94 % (2755418)Instructions burned: 180 (million)
% 9.28/1.94 % (2755419)Instruction limit reached!
% 9.28/1.94 % (2755419)------------------------------
% 9.28/1.94 % (2755419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/1.94 % (2755419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/1.94 % (2755419)CaDiCaL version: 2.1.3
% 9.28/1.94 % (2755419)Termination reason: Instruction limit
% 9.28/1.94 % (2755419)Termination phase: Saturation
% 9.28/1.94 % (2755419)Time elapsed: 0.064 s
% 9.28/1.94 % (2755419)Peak memory usage: 89 MB
% 9.28/1.94 % (2755419)Instructions burned: 118 (million)
% 9.28/1.94 % (2755417)Instruction limit reached!
% 9.28/1.94 % (2755417)------------------------------
% 9.28/1.94 % (2755417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/1.94 % (2755417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/1.94 % (2755417)CaDiCaL version: 2.1.3
% 9.28/1.94 % (2755417)Termination reason: Instruction limit
% 9.28/1.94 % (2755417)Termination phase: Saturation
% 9.28/1.94 % (2755417)Time elapsed: 0.070 s
% 9.28/1.94 % (2755417)Peak memory usage: 89 MB
% 9.28/1.94 % (2755417)Instructions burned: 115 (million)
% 9.28/1.94 % (2755416)Instruction limit reached!
% 9.28/1.94 % (2755416)------------------------------
% 9.28/1.94 % (2755416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/1.94 % (2755416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/1.94 % (2755416)CaDiCaL version: 2.1.3
% 9.28/1.94 % (2755416)Termination reason: Instruction limit
% 9.28/1.94 % (2755416)Termination phase: Saturation
% 9.28/1.94 % (2755416)Time elapsed: 0.071 s
% 9.28/1.94 % (2755416)Peak memory usage: 90 MB
% 9.28/1.94 % (2755416)Instructions burned: 108 (million)
% 9.28/1.94 % (2755427)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=1585921298:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.28/1.94 % (2755427)Refutation not found, incomplete strategy
% 9.28/1.94 % (2755427)------------------------------
% 9.28/1.94 % (2755427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/1.94 % (2755427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/1.94 % (2755427)CaDiCaL version: 2.1.3
% 9.28/1.94 % (2755427)Termination reason: Refutation not found, incomplete strategy
% 9.28/1.94 % (2755427)Time elapsed: 0.011 s
% 9.28/1.94 % (2755427)Peak memory usage: 89 MB
% 9.28/1.94 % (2755427)Instructions burned: 35 (million)
% 9.28/1.94 % (2755428)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4043075778: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)
% 17.44/3.21 % (2755430)lrs+10_64_to=lpo:sil=8000:random_seed=2126219155:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 17.44/3.21 % (2755429)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4000698832:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 17.44/3.21 % (2755430)Instruction limit reached!
% 17.44/3.21 % (2755430)------------------------------
% 17.44/3.21 % (2755430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.21 % (2755430)CaDiCaL version: 2.1.3
% 17.44/3.21 % (2755430)Termination reason: Instruction limit
% 17.44/3.21 % (2755430)Termination phase: Saturation
% 17.44/3.21 % (2755430)Time elapsed: 0.079 s
% 17.44/3.21 % (2755430)Peak memory usage: 90 MB
% 17.44/3.21 % (2755430)Instructions burned: 127 (million)
% 17.44/3.21 % (2755428)Instruction limit reached!
% 17.44/3.21 % (2755428)------------------------------
% 17.44/3.21 % (2755428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.21 % (2755428)CaDiCaL version: 2.1.3
% 17.44/3.21 % (2755428)Termination reason: Instruction limit
% 17.44/3.21 % (2755428)Termination phase: Saturation
% 17.44/3.21 % (2755428)Time elapsed: 0.099 s
% 17.44/3.21 % (2755428)Peak memory usage: 91 MB
% 17.44/3.21 % (2755428)Instructions burned: 190 (million)
% 17.44/3.21 % (2755427)------------------------------
% 17.44/3.21 % (2755427)------------------------------
% 17.44/3.21 % (2755429)Instruction limit reached!
% 17.44/3.21 % (2755429)------------------------------
% 17.44/3.21 % (2755429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.21 % (2755429)CaDiCaL version: 2.1.3
% 17.44/3.21 % (2755429)Termination reason: Instruction limit
% 17.44/3.21 % (2755429)Termination phase: Saturation
% 17.44/3.21 % (2755429)Time elapsed: 0.114 s
% 17.44/3.21 % (2755429)Peak memory usage: 90 MB
% 17.44/3.21 % (2755429)Instructions burned: 221 (million)
% 17.44/3.21 % (2755436)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3650934159:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 17.44/3.21 % (2755435)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3127578043:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.44/3.21 % (2755437)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3533782608:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 17.44/3.21 % (2755436)Instruction limit reached!
% 17.44/3.21 % (2755436)------------------------------
% 17.44/3.21 % (2755436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.21 % (2755436)CaDiCaL version: 2.1.3
% 17.44/3.21 % (2755436)Termination reason: Instruction limit
% 17.44/3.21 % (2755436)Termination phase: Saturation
% 17.44/3.21 % (2755436)Time elapsed: 0.048 s
% 17.44/3.21 % (2755436)Peak memory usage: 91 MB
% 17.44/3.21 % (2755436)Instructions burned: 158 (million)
% 17.44/3.21 % (2755438)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=3831972288:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.44/3.21 % (2755438)Instruction limit reached!
% 17.44/3.21 % (2755438)------------------------------
% 17.44/3.21 % (2755438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.21 % (2755438)CaDiCaL version: 2.1.3
% 17.44/3.21 % (2755438)Termination reason: Instruction limit
% 17.44/3.21 % (2755438)Termination phase: Saturation
% 17.44/3.21 % (2755438)Time elapsed: 0.057 s
% 17.44/3.21 % (2755438)Peak memory usage: 89 MB
% 17.44/3.21 % (2755438)Instructions burned: 107 (million)
% 17.44/3.21 % (2755435)Instruction limit reached!
% 17.44/3.21 % (2755435)------------------------------
% 17.44/3.21 % (2755435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.21 % (2755435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755435)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755435)Termination reason: Instruction limit
% 27.50/4.36 % (2755435)Termination phase: Saturation
% 27.50/4.36 % (2755435)Time elapsed: 0.128 s
% 27.50/4.36 % (2755435)Peak memory usage: 91 MB
% 27.50/4.36 % (2755435)Instructions burned: 194 (million)
% 27.50/4.36 % (2755442)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3156932658:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 27.50/4.36 % (2755442)Refutation not found, incomplete strategy
% 27.50/4.36 % (2755442)------------------------------
% 27.50/4.36 % (2755442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755442)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755442)Termination reason: Refutation not found, incomplete strategy
% 27.50/4.36 % (2755442)Time elapsed: 0.012 s
% 27.50/4.36 % (2755442)Peak memory usage: 89 MB
% 27.50/4.36 % (2755442)Instructions burned: 34 (million)
% 27.50/4.36 % (2755444)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3874094876:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 27.50/4.36 % (2755445)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=736092526:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 27.50/4.36 % (2755442)------------------------------
% 27.50/4.36 % (2755442)------------------------------
% 27.50/4.36 % (2755444)Instruction limit reached!
% 27.50/4.36 % (2755444)------------------------------
% 27.50/4.36 % (2755444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755444)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755444)Termination reason: Instruction limit
% 27.50/4.36 % (2755444)Termination phase: Saturation
% 27.50/4.36 % (2755444)Time elapsed: 0.140 s
% 27.50/4.36 % (2755444)Peak memory usage: 90 MB
% 27.50/4.36 % (2755444)Instructions burned: 243 (million)
% 27.50/4.36 % (2755449)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1154877464:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 27.50/4.36 % (2755449)Instruction limit reached!
% 27.50/4.36 % (2755449)------------------------------
% 27.50/4.36 % (2755449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755449)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755449)Termination reason: Instruction limit
% 27.50/4.36 % (2755449)Termination phase: Saturation
% 27.50/4.36 % (2755449)Time elapsed: 0.049 s
% 27.50/4.36 % (2755449)Peak memory usage: 90 MB
% 27.50/4.36 % (2755449)Instructions burned: 135 (million)
% 27.50/4.36 % (2755450)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=554904679:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 27.50/4.36 % (2755452)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2283397245:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 27.50/4.36 % (2755452)Instruction limit reached!
% 27.50/4.36 % (2755452)------------------------------
% 27.50/4.36 % (2755452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755452)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755452)Termination reason: Instruction limit
% 27.50/4.36 % (2755452)Termination phase: Saturation
% 27.50/4.36 % (2755452)Time elapsed: 0.066 s
% 27.50/4.36 % (2755452)Peak memory usage: 91 MB
% 27.50/4.36 % (2755452)Instructions burned: 192 (million)
% 27.50/4.36 % (2755455)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2756040825:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 27.50/4.36 % (2755450)Instruction limit reached!
% 27.50/4.36 % (2755450)------------------------------
% 27.50/4.36 % (2755450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755450)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755450)Termination reason: Instruction limit
% 27.50/4.36 % (2755450)Termination phase: Saturation
% 27.50/4.36 % (2755450)Time elapsed: 0.315 s
% 27.50/4.36 % (2755450)Peak memory usage: 94 MB
% 27.50/4.36 % (2755450)Instructions burned: 499 (million)
% 27.50/4.36 % (2755455)Instruction limit reached!
% 27.50/4.36 % (2755455)------------------------------
% 27.50/4.36 % (2755455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755455)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755455)Termination reason: Instruction limit
% 27.50/4.36 % (2755455)Termination phase: Saturation
% 27.50/4.36 % (2755455)Time elapsed: 0.088 s
% 27.50/4.36 % (2755455)Peak memory usage: 93 MB
% 27.50/4.36 % (2755455)Instructions burned: 266 (million)
% 27.50/4.36 % (2755457)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3835474134:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 27.50/4.36 % (2755458)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1232468201:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 27.50/4.36 % (2755457)Instruction limit reached!
% 27.50/4.36 % (2755457)------------------------------
% 27.50/4.36 % (2755457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755457)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755457)Termination reason: Instruction limit
% 27.50/4.36 % (2755457)Termination phase: Saturation
% 27.50/4.36 % (2755457)Time elapsed: 0.098 s
% 27.50/4.36 % (2755457)Peak memory usage: 90 MB
% 27.50/4.36 % (2755457)Instructions burned: 157 (million)
% 27.50/4.36 % (2755461)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1945049333:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 27.50/4.36 % (2755461)Instruction limit reached!
% 27.50/4.36 % (2755461)------------------------------
% 27.50/4.36 % (2755461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755461)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755461)Termination reason: Instruction limit
% 27.50/4.36 % (2755461)Termination phase: Saturation
% 27.50/4.36 % (2755461)Time elapsed: 0.304 s
% 27.50/4.36 % (2755461)Peak memory usage: 93 MB
% 27.50/4.36 % (2755461)Instructions burned: 537 (million)
% 27.50/4.36 % (2755463)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=762517380:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 27.50/4.36 % (2755463)Instruction limit reached!
% 27.50/4.36 % (2755463)------------------------------
% 27.50/4.36 % (2755463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755463)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755463)Termination reason: Instruction limit
% 27.50/4.36 % (2755463)Termination phase: Saturation
% 27.50/4.36 % (2755463)Time elapsed: 0.104 s
% 27.50/4.36 % (2755463)Peak memory usage: 90 MB
% 27.50/4.36 % (2755463)Instructions burned: 181 (million)
% 27.50/4.36 % (2755465)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=123275045:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2974 on theBenchmark for (2974ds/10307Mi)
% 27.50/4.36 % (2755437)Instruction limit reached!
% 27.50/4.36 % (2755437)------------------------------
% 27.50/4.36 % (2755437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755437)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755437)Termination reason: Instruction limit
% 27.50/4.36 % (2755437)Termination phase: Saturation
% 27.50/4.36 % (2755437)Time elapsed: 2.115 s
% 27.50/4.36 % (2755437)Peak memory usage: 152 MB
% 27.50/4.36 % (2755437)Instructions burned: 3394 (million)
% 27.50/4.36 % (2755458)Instruction limit reached!
% 27.50/4.36 % (2755458)------------------------------
% 27.50/4.36 % (2755458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755458)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755458)Termination reason: Instruction limit
% 27.50/4.36 % (2755458)Termination phase: Saturation
% 27.50/4.36 % (2755458)Time elapsed: 1.083 s
% 27.50/4.36 % (2755458)Peak memory usage: 149 MB
% 27.50/4.36 % (2755458)Instructions burned: 3259 (million)
% 27.50/4.36 % (2755468)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1387934349:s2pl=no:i=8478:s2at=4:nm=6_2972 on theBenchmark for (2972ds/8478Mi)
% 27.50/4.36 % (2755467)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2499203001:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 27.50/4.36 % (2755467)Instruction limit reached!
% 27.50/4.36 % (2755467)------------------------------
% 27.50/4.36 % (2755467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755467)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755467)Termination reason: Instruction limit
% 27.50/4.36 % (2755467)Termination phase: Saturation
% 27.50/4.36 % (2755467)Time elapsed: 0.227 s
% 27.50/4.36 % (2755467)Peak memory usage: 92 MB
% 27.50/4.36 % (2755467)Instructions burned: 414 (million)
% 27.50/4.36 % (2755471)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1468216409:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2968 on theBenchmark for (2968ds/303Mi)
% 27.50/4.36 % (2755471)Instruction limit reached!
% 27.50/4.36 % (2755471)------------------------------
% 27.50/4.36 % (2755471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.36 % (2755471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.36 % (2755471)CaDiCaL version: 2.1.3
% 27.50/4.36 % (2755471)Termination reason: Instruction limit
% 27.50/4.36 % (2755471)Termination phase: Saturation
% 27.50/4.36 % (2755471)Time elapsed: 0.168 s
% 27.50/4.36 % (2755471)Peak memory usage: 92 MB
% 27.50/4.36 % (2755471)Instructions burned: 306 (million)
% 27.50/4.36 % (2755473)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=284424950:st=4:i=720:sd=3:fsr=off:ss=axioms_2965 on theBenchmark for (2965ds/720Mi)
% 27.50/4.36 % (2755445)First to succeed.
% 27.50/4.36 % (2755445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2755408"
% 27.50/4.36 % (2755414)Also succeeded, but the first one will report.
% 27.50/4.36 % (2755445)Refutation found. Thanks to Tanya!
% 27.50/4.36 % SZS status Unsatisfiable for theBenchmark
% 27.50/4.36 % SZS output start Proof for theBenchmark
% See solution above
% 27.98/4.46 % (2755445)------------------------------
% 27.98/4.46 % (2755445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.98/4.46 % (2755445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.98/4.46 % (2755445)CaDiCaL version: 2.1.3
% 27.98/4.46 % (2755445)Termination reason: Refutation
% 27.98/4.46 % (2755445)Time elapsed: 2.733 s
% 27.98/4.46 % (2755445)Peak memory usage: 161 MB
% 27.98/4.46 % (2755445)Instructions burned: 4611 (million)
% 27.98/4.46 % (2755445)------------------------------
% 27.98/4.46 % (2755445)------------------------------
% 27.98/4.46 % (2755408)Success in time 3.93 s
% 27.98/4.46 % Vampire exiting
%------------------------------------------------------------------------------