%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV676-1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:15 PM UTC 2026
% Result : Unsatisfiable 23.54s 5.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 38
% Syntax : Number of formulae : 147 ( 56 unt; 14 def)
% Number of atoms : 310 ( 140 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 304 ( 141 ~; 158 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).
fof(f135,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0)
| X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__imp_0) ).
fof(f136,plain,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f135]) ).
fof(f192,axiom,
! [X2,X0,X1] :
( c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
fof(f318,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
fof(f319,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(reorient_equations,[],[f318]) ).
fof(f720,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
| c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).
fof(f721,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) != c_Power_Opower__class_Opower(X1,X2,X0)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f720]) ).
fof(f732,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).
fof(f733,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f732]) ).
fof(f955,axiom,
! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_0) ).
fof(f979,axiom,
! [X0] : c_HOL_Ominus__class_Ominus(X0,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).
fof(f980,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X0,X0,tc_nat),
inference(reorient_equations,[],[f979]) ).
fof(f981,axiom,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
fof(f987,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).
fof(f997,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__inverse__inverse__eq_0) ).
fof(f998,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
| ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f997]) ).
fof(f1008,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f1197,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
fof(f1198,plain,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f1197]) ).
fof(f1200,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__inverse_0) ).
fof(f1213,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = X0
| ~ c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__diff__inverse2_0) ).
fof(f1241,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
| ~ c_lessequals(X3,X2,tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff_0) ).
fof(f1242,plain,
! [X2,X3,X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f1241]) ).
fof(f1252,axiom,
! [X0] : c_lessequals(X0,X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
fof(f1294,axiom,
! [X0,X1] : c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__self_0) ).
fof(f1301,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1302,negated_conjecture,
c_lessequals(c_Suc(v_y),c_Suc(v_x),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1303,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(c_Suc(v_x),c_Suc(v_y),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_Suc(v_y),t_a),c_Power_Opower__class_Opower(v_a,c_Suc(v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1305,axiom,
! [X0] :
( class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors) ).
fof(f1310,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
fof(f1314,axiom,
! [X0] :
( class_Ring__and__Field_Odivision__ring(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
fof(f1490,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_y,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_x,tc_nat),tc_nat),
inference(definition_unfolding,[],[f1302,f38,f38]) ).
fof(f1491,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_x,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_y,tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_y,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_x,tc_nat),t_a),t_a),
inference(definition_unfolding,[],[f1303,f38,f38,f38,f38]) ).
fof(f1492,definition,
sF0 = c_HOL_Oone__class_Oone(tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1493,plain,
c_HOL_Oone__class_Oone(tc_nat) = sF0,
inference(reorient_equations,[],[f1492]) ).
fof(f1494,definition,
sF1 = c_HOL_Oplus__class_Oplus(sF0,v_y,tc_nat),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1495,plain,
c_HOL_Oplus__class_Oplus(sF0,v_y,tc_nat) = sF1,
inference(reorient_equations,[],[f1494]) ).
fof(f1496,definition,
sF2 = c_HOL_Oplus__class_Oplus(sF0,v_x,tc_nat),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1497,plain,
c_HOL_Oplus__class_Oplus(sF0,v_x,tc_nat) = sF2,
inference(reorient_equations,[],[f1496]) ).
fof(f1498,plain,
c_lessequals(sF1,sF2,tc_nat),
inference(definition_folding,[],[f1490,f1497,f1493,f1495,f1493]) ).
fof(f1499,definition,
sF3 = c_HOL_Oinverse__class_Oinverse(v_a,t_a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1500,plain,
c_HOL_Oinverse__class_Oinverse(v_a,t_a) = sF3,
inference(reorient_equations,[],[f1499]) ).
fof(f1501,definition,
sF4 = c_HOL_Ominus__class_Ominus(sF2,sF1,tc_nat),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1502,plain,
c_HOL_Ominus__class_Ominus(sF2,sF1,tc_nat) = sF4,
inference(reorient_equations,[],[f1501]) ).
fof(f1503,definition,
sF5 = c_Power_Opower__class_Opower(sF3,sF4,t_a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1504,plain,
c_Power_Opower__class_Opower(sF3,sF4,t_a) = sF5,
inference(reorient_equations,[],[f1503]) ).
fof(f1505,definition,
sF6 = c_Power_Opower__class_Opower(v_a,sF1,t_a),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1506,plain,
c_Power_Opower__class_Opower(v_a,sF1,t_a) = sF6,
inference(reorient_equations,[],[f1505]) ).
fof(f1507,definition,
sF7 = c_Power_Opower__class_Opower(v_a,sF2,t_a),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1508,plain,
c_Power_Opower__class_Opower(v_a,sF2,t_a) = sF7,
inference(reorient_equations,[],[f1507]) ).
fof(f1509,definition,
sF8 = c_HOL_Oinverse__class_Odivide(sF6,sF7,t_a),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1510,plain,
c_HOL_Oinverse__class_Odivide(sF6,sF7,t_a) = sF8,
inference(reorient_equations,[],[f1509]) ).
fof(f1511,plain,
sF5 != sF8,
inference(definition_folding,[],[f1491,f1510,f1508,f1497,f1493,f1506,f1495,f1493,f1504,f1502,f1495,f1493,f1497,f1493,f1500]) ).
fof(f1537,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference(forward_subsumption_resolution,[],[f1008,f1301]) ).
fof(f1671,plain,
sF5 = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),sF4,t_a),
inference(forward_demodulation,[],[f1504,f1500]) ).
fof(f1815,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF1,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(X0,sF1,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f1242,f1506]) ).
fof(f1816,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF2,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(X0,sF2,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f1242,f1508]) ).
fof(f1829,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF2,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ c_lessequals(X0,sF2,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_subsumption_resolution,[],[f1816,f1301]) ).
fof(f1830,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF1,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ c_lessequals(X0,sF1,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_subsumption_resolution,[],[f1815,f1301]) ).
fof(f1843,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF2,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ c_lessequals(X0,sF2,tc_nat) ),
inference(forward_subsumption_resolution,[],[f1829,f1537]) ).
fof(f1844,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(sF1,X0,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| ~ c_lessequals(X0,sF1,tc_nat) ),
inference(forward_subsumption_resolution,[],[f1830,f1537]) ).
fof(f1991,plain,
( sF5 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ class_Ring__and__Field_Odivision__ring(t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f1198,f1671]) ).
fof(f2015,definition,
( spl14_26
<=> class_Ring__and__Field_Odivision__ring(t_a) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f2016,plain,
( class_Ring__and__Field_Odivision__ring(t_a)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2017,plain,
( ~ class_Ring__and__Field_Odivision__ring(t_a)
| spl14_26 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2019,definition,
( spl14_27
<=> sF5 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl14_27])],[avatar_definition]) ).
fof(f2020,plain,
( sF5 != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| spl14_27 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2021,plain,
( sF5 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2208,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(resolution,[],[f1310,f1301]) ).
fof(f2321,plain,
! [X2,X3,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
| c_HOL_Ozero__class_Ozero(X2) = X0
| ~ class_Ring__and__Field_Ofield(X2)
| ~ c_lessequals(X3,X1,tc_nat)
| c_HOL_Ozero__class_Ozero(X2) = X0 ),
inference(superposition,[],[f721,f1242]) ).
fof(f2328,plain,
! [X2,X3,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
| c_HOL_Ozero__class_Ozero(X2) = X0
| ~ class_Ring__and__Field_Ofield(X2)
| ~ c_lessequals(X3,X1,tc_nat) ),
inference(duplicate_literal_removal,[],[f2321]) ).
fof(f2331,plain,
! [X2,X3,X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Ozero__class_Ozero(X2) = X0
| ~ class_Ring__and__Field_Ofield(X2)
| ~ c_lessequals(X3,X1,tc_nat) ),
inference(forward_subsumption_resolution,[],[f2328,f1305]) ).
fof(f2489,plain,
( sF2 = c_HOL_Oplus__class_Oplus(sF4,sF1,tc_nat)
| ~ c_lessequals(sF1,sF2,tc_nat) ),
inference(superposition,[],[f1213,f1502]) ).
fof(f2509,plain,
sF2 = c_HOL_Oplus__class_Oplus(sF4,sF1,tc_nat),
inference(forward_subsumption_resolution,[],[f2489,f1498]) ).
fof(f2514,plain,
sF1 = c_HOL_Ominus__class_Ominus(sF2,sF4,tc_nat),
inference(superposition,[],[f987,f2509]) ).
fof(f2620,plain,
( c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,c_Power_Opower__class_Opower(v_a,sF1,t_a),t_a)
| ~ c_lessequals(sF1,sF1,tc_nat) ),
inference(superposition,[],[f1844,f980]) ).
fof(f2647,plain,
c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,c_Power_Opower__class_Opower(v_a,sF1,t_a),t_a),
inference(forward_subsumption_resolution,[],[f2620,f1252]) ).
fof(f2652,plain,
c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),
inference(forward_demodulation,[],[f2647,f1506]) ).
fof(f3150,definition,
( spl14_55
<=> c_HOL_Ozero__class_Ozero(t_a) = sF7 ),
introduced(definition,[new_symbols(definition,[spl14_55])],[avatar_definition]) ).
fof(f3151,plain,
( c_HOL_Ozero__class_Ozero(t_a) != sF7
| spl14_55 ),
inference(avatar_component_clause,[],[f3150]) ).
fof(f3152,plain,
( c_HOL_Ozero__class_Ozero(t_a) = sF7
| ~ spl14_55 ),
inference(avatar_component_clause,[],[f3150]) ).
fof(f3316,plain,
c_lessequals(sF4,sF2,tc_nat),
inference(superposition,[],[f1294,f1502]) ).
fof(f7535,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| spl14_26 ),
inference(resolution,[],[f2017,f1314]) ).
fof(f7536,plain,
( $false
| spl14_26 ),
inference(forward_subsumption_resolution,[],[f7535,f1301]) ).
fof(f7537,plain,
spl14_26,
inference(avatar_contradiction_clause,[],[f7536]) ).
fof(f7542,plain,
( sF5 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f1991,f2016]) ).
fof(f7973,plain,
( sF5 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f7542,f1537]) ).
fof(f7997,plain,
( $false
| ~ spl14_26
| spl14_27 ),
inference(forward_subsumption_resolution,[],[f7973,f2020]) ).
fof(f7998,plain,
( ~ spl14_26
| spl14_27 ),
inference(avatar_contradiction_clause,[],[f7997]) ).
fof(f8158,plain,
( c_Power_Opower__class_Opower(v_a,sF4,t_a) = c_HOL_Oinverse__class_Oinverse(sF5,t_a)
| ~ class_Ring__and__Field_Odivision__ring(t_a)
| c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(v_a,sF4,t_a)
| ~ spl14_27 ),
inference(superposition,[],[f998,f2021]) ).
fof(f8160,plain,
( ! [X0] :
( c_HOL_Otimes__class_Otimes(X0,sF5,t_a) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a) )
| ~ spl14_27 ),
inference(superposition,[],[f1200,f2021]) ).
fof(f8161,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(X0,sF5,t_a) = c_HOL_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ spl14_27 ),
inference(forward_subsumption_resolution,[],[f8160,f1301]) ).
fof(f8163,plain,
( c_Power_Opower__class_Opower(v_a,sF4,t_a) = c_HOL_Oinverse__class_Oinverse(sF5,t_a)
| c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(v_a,sF4,t_a)
| ~ spl14_26
| ~ spl14_27 ),
inference(forward_subsumption_resolution,[],[f8158,f2016]) ).
fof(f8172,definition,
( spl14_109
<=> c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(v_a,sF4,t_a) ),
introduced(definition,[new_symbols(definition,[spl14_109])],[avatar_definition]) ).
fof(f8174,plain,
( c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(v_a,sF4,t_a)
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f8172]) ).
fof(f8180,definition,
( spl14_111
<=> c_Power_Opower__class_Opower(v_a,sF4,t_a) = c_HOL_Oinverse__class_Oinverse(sF5,t_a) ),
introduced(definition,[new_symbols(definition,[spl14_111])],[avatar_definition]) ).
fof(f8182,plain,
( c_Power_Opower__class_Opower(v_a,sF4,t_a) = c_HOL_Oinverse__class_Oinverse(sF5,t_a)
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f8180]) ).
fof(f8183,plain,
( spl14_109
| spl14_111
| ~ spl14_26
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f8163,f2019,f2015,f8180,f8172]) ).
fof(f14830,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),c_Power_Opower__class_Opower(v_a,X0,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(X0,sF4,tc_nat) )
| ~ spl14_109 ),
inference(superposition,[],[f2331,f8174]) ).
fof(f14916,plain,
( ! [X0] :
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(X0,sF4,tc_nat) )
| ~ spl14_109 ),
inference(forward_subsumption_resolution,[],[f14830,f733]) ).
fof(f14962,plain,
( ! [X0] :
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(X0,sF4,tc_nat) )
| ~ spl14_109 ),
inference(forward_subsumption_resolution,[],[f14916,f1537]) ).
fof(f14976,plain,
( ! [X0] : ~ c_lessequals(X0,sF4,tc_nat)
| ~ spl14_109 ),
inference(forward_subsumption_resolution,[],[f14962,f1301]) ).
fof(f14977,plain,
( $false
| ~ spl14_109 ),
inference(resolution,[],[f14976,f1252]) ).
fof(f14987,plain,
~ spl14_109,
inference(avatar_contradiction_clause,[],[f14977]) ).
fof(f15004,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(X0,sF5,t_a) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(sF5,t_a),t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(forward_demodulation,[],[f8161,f8182]) ).
fof(f39775,plain,
( c_HOL_Oone__class_Oone(t_a) = c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a)
| ~ class_Ring__and__Field_Ocomm__semiring__1(t_a) ),
inference(superposition,[],[f319,f2652]) ).
fof(f39796,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f1242,f2652]) ).
fof(f39798,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(superposition,[],[f2331,f2652]) ).
fof(f39801,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(forward_subsumption_resolution,[],[f39798,f1301]) ).
fof(f39803,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_subsumption_resolution,[],[f39796,f1301]) ).
fof(f39814,plain,
c_HOL_Oone__class_Oone(t_a) = c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),
inference(forward_subsumption_resolution,[],[f39775,f2208]) ).
fof(f39820,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_subsumption_resolution,[],[f39801,f955]) ).
fof(f39822,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oinverse__class_Odivide(sF6,sF6,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_subsumption_resolution,[],[f39803,f955]) ).
fof(f39851,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_demodulation,[],[f39820,f39814]) ).
fof(f39853,plain,
! [X0] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a) = c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_demodulation,[],[f39822,f39814]) ).
fof(f39865,plain,
! [X0] :
( c_Power_Opower__class_Opower(v_a,X0,t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_demodulation,[],[f39853,f981]) ).
fof(f42603,plain,
( c_Power_Opower__class_Opower(v_a,sF1,t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a)
| ~ c_lessequals(sF4,sF2,tc_nat) ),
inference(superposition,[],[f1843,f2514]) ).
fof(f42632,plain,
c_Power_Opower__class_Opower(v_a,sF1,t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_Power_Opower__class_Opower(v_a,sF4,t_a),t_a),
inference(forward_subsumption_resolution,[],[f42603,f3316]) ).
fof(f43178,plain,
( c_Power_Opower__class_Opower(v_a,sF1,t_a) = c_HOL_Oinverse__class_Odivide(sF7,c_HOL_Oinverse__class_Oinverse(sF5,t_a),t_a)
| ~ spl14_111 ),
inference(forward_demodulation,[],[f42632,f8182]) ).
fof(f43435,plain,
! [X0] : c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),
inference(forward_subsumption_resolution,[],[f39851,f1537]) ).
fof(f43436,plain,
! [X0] : c_Power_Opower__class_Opower(v_a,X0,t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_HOL_Oone__class_Oone(t_a),t_a),
inference(forward_subsumption_resolution,[],[f39865,f1537]) ).
fof(f43497,plain,
( c_Power_Opower__class_Opower(v_a,sF1,t_a) = c_HOL_Otimes__class_Otimes(sF7,sF5,t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(forward_demodulation,[],[f43178,f15004]) ).
fof(f43596,plain,
! [X0] : c_HOL_Ozero__class_Ozero(t_a) != c_Power_Opower__class_Opower(v_a,X0,t_a),
inference(backward_demodulation,[],[f43435,f43436]) ).
fof(f43608,plain,
( sF6 = c_HOL_Otimes__class_Otimes(sF7,sF5,t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(forward_demodulation,[],[f43497,f1506]) ).
fof(f43789,plain,
( c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(v_a,sF2,t_a)
| ~ spl14_55 ),
inference(backward_demodulation,[],[f1508,f3152]) ).
fof(f44590,plain,
( $false
| ~ spl14_55 ),
inference(forward_subsumption_resolution,[],[f43789,f43596]) ).
fof(f44591,plain,
~ spl14_55,
inference(avatar_contradiction_clause,[],[f44590]) ).
fof(f45662,plain,
( sF6 = c_HOL_Otimes__class_Otimes(sF5,sF7,t_a)
| ~ class_Ring__and__Field_Ocomm__semiring__1(t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(superposition,[],[f192,f43608]) ).
fof(f45667,plain,
( sF6 = c_HOL_Otimes__class_Otimes(sF5,sF7,t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(forward_subsumption_resolution,[],[f45662,f2208]) ).
fof(f47237,plain,
( sF5 = c_HOL_Oinverse__class_Odivide(sF6,sF7,t_a)
| c_HOL_Ozero__class_Ozero(t_a) = sF7
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl14_27
| ~ spl14_111 ),
inference(superposition,[],[f136,f45667]) ).
fof(f47242,plain,
( sF5 = c_HOL_Oinverse__class_Odivide(sF6,sF7,t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(forward_subsumption_resolution,[],[f47237,f3151]) ).
fof(f47247,plain,
( sF5 = c_HOL_Oinverse__class_Odivide(sF6,sF7,t_a)
| ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(forward_subsumption_resolution,[],[f47242,f1301]) ).
fof(f47250,plain,
( sF5 = sF8
| ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(backward_demodulation,[],[f1510,f47247]) ).
fof(f47251,plain,
( $false
| ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(forward_subsumption_resolution,[],[f47250,f1511]) ).
fof(f47252,plain,
( ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(avatar_contradiction_clause,[],[f47251]) ).
cnf(s92,plain,
spl14_26,
inference(sat_conversion,[],[f7537]) ).
cnf(s117,plain,
( ~ spl14_26
| spl14_27 ),
inference(sat_conversion,[],[f7998]) ).
cnf(s119,plain,
( ~ spl14_26
| ~ spl14_27
| spl14_109
| spl14_111 ),
inference(sat_conversion,[],[f8183]) ).
cnf(s166,plain,
~ spl14_109,
inference(sat_conversion,[],[f14987]) ).
cnf(s786,plain,
~ spl14_55,
inference(sat_conversion,[],[f44591]) ).
cnf(s807,plain,
( ~ spl14_27
| spl14_55
| ~ spl14_111 ),
inference(sat_conversion,[],[f47252]) ).
cnf(s844,plain,
( ~ spl14_26
| ~ spl14_27
| spl14_111 ),
inference(rat,[],[s119,s166]) ).
cnf(s847,plain,
spl14_27,
inference(rat,[],[s117,s92]) ).
cnf(s850,plain,
~ spl14_111,
inference(rat,[],[s807,s786,s847]) ).
cnf(s858,plain,
$false,
inference(rat,[],[s844,s92,s850,s847]) ).
fof(f47253,plain,
$false,
inference(avatar_sat_refutation,[],[s858]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV676-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n020.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 12:14:19 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 Running first-order theorem proving
% 0.11/0.19 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
% 12.16/2.41 % (124756)Input is clausal, will run a generic CNF schedule.
% 12.16/2.41 % (124761)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=998963803:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.16/2.41 % (124763)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=745020782:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.16/2.41 % (124762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=771531316:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.16/2.41 % (124764)lrs+10_1_sil=8000:sp=occurrence:random_seed=189443822:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.16/2.41 % (124765)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3896868196:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.16/2.41 % (124766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1982063979:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.16/2.41 % (124767)dis-21_1_sil=8000:lcm=predicate:random_seed=1848595538: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)
% 12.16/2.41 % (124767)Instruction limit reached!
% 12.16/2.41 % (124767)------------------------------
% 12.16/2.41 % (124767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.41 % (124767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.41 % (124767)CaDiCaL version: 2.1.3
% 12.16/2.41 % (124767)Termination reason: Instruction limit
% 12.16/2.41 % (124767)Termination phase: Saturation
% 12.16/2.41 % (124767)Time elapsed: 0.067 s
% 12.16/2.41 % (124767)Peak memory usage: 89 MB
% 12.16/2.41 % (124767)Instructions burned: 118 (million)
% 12.16/2.41 % (124764)Instruction limit reached!
% 12.16/2.41 % (124764)------------------------------
% 12.16/2.41 % (124764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.41 % (124764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.41 % (124764)CaDiCaL version: 2.1.3
% 12.16/2.41 % (124764)Termination reason: Instruction limit
% 12.16/2.41 % (124764)Termination phase: Saturation
% 12.16/2.41 % (124764)Time elapsed: 0.068 s
% 12.16/2.41 % (124764)Peak memory usage: 90 MB
% 12.16/2.41 % (124764)Instructions burned: 107 (million)
% 12.16/2.41 % (124765)Instruction limit reached!
% 12.16/2.41 % (124765)------------------------------
% 12.16/2.41 % (124765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.41 % (124765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.41 % (124765)CaDiCaL version: 2.1.3
% 12.16/2.41 % (124765)Termination reason: Instruction limit
% 12.16/2.41 % (124765)Termination phase: Saturation
% 12.16/2.41 % (124765)Time elapsed: 0.073 s
% 12.16/2.41 % (124765)Peak memory usage: 89 MB
% 12.16/2.41 % (124765)Instructions burned: 114 (million)
% 12.16/2.41 % (124766)Instruction limit reached!
% 12.16/2.41 % (124766)------------------------------
% 12.16/2.41 % (124766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.41 % (124766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.41 % (124766)CaDiCaL version: 2.1.3
% 12.16/2.41 % (124766)Termination reason: Instruction limit
% 12.16/2.41 % (124766)Termination phase: Saturation
% 12.16/2.41 % (124766)Time elapsed: 0.112 s
% 12.16/2.41 % (124766)Peak memory usage: 90 MB
% 12.16/2.41 % (124766)Instructions burned: 181 (million)
% 12.16/2.41 % (124776)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2668365448: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)
% 12.16/2.41 % (124777)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1603806820:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.16/2.41 % (124775)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=1407261573:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.16/2.41 % (124778)lrs+10_64_to=lpo:sil=8000:random_seed=128791747:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.16/2.41 % (124775)Instruction limit reached!
% 12.16/2.41 % (124775)------------------------------
% 12.16/2.41 % (124775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124775)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124775)Termination reason: Instruction limit
% 22.42/3.98 % (124775)Termination phase: Saturation
% 22.42/3.98 % (124775)Time elapsed: 0.088 s
% 22.42/3.98 % (124775)Peak memory usage: 90 MB
% 22.42/3.98 % (124775)Instructions burned: 144 (million)
% 22.42/3.98 % (124776)Instruction limit reached!
% 22.42/3.98 % (124776)------------------------------
% 22.42/3.98 % (124776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124776)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124776)Termination reason: Instruction limit
% 22.42/3.98 % (124776)Termination phase: Saturation
% 22.42/3.98 % (124776)Time elapsed: 0.092 s
% 22.42/3.98 % (124776)Peak memory usage: 90 MB
% 22.42/3.98 % (124776)Instructions burned: 189 (million)
% 22.42/3.98 % (124778)Instruction limit reached!
% 22.42/3.98 % (124778)------------------------------
% 22.42/3.98 % (124778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124778)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124778)Termination reason: Instruction limit
% 22.42/3.98 % (124778)Termination phase: Saturation
% 22.42/3.98 % (124778)Time elapsed: 0.081 s
% 22.42/3.98 % (124778)Peak memory usage: 90 MB
% 22.42/3.98 % (124778)Instructions burned: 127 (million)
% 22.42/3.98 % (124777)Instruction limit reached!
% 22.42/3.98 % (124777)------------------------------
% 22.42/3.98 % (124777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124777)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124777)Termination reason: Instruction limit
% 22.42/3.98 % (124777)Termination phase: Saturation
% 22.42/3.98 % (124777)Time elapsed: 0.126 s
% 22.42/3.98 % (124777)Peak memory usage: 91 MB
% 22.42/3.98 % (124777)Instructions burned: 220 (million)
% 22.42/3.98 % (124783)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3580600332:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 22.42/3.98 % (124784)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3610152953:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 22.42/3.98 % (124785)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=610030560:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 22.42/3.98 % (124786)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=1824163094:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 22.42/3.98 % (124784)Instruction limit reached!
% 22.42/3.98 % (124784)------------------------------
% 22.42/3.98 % (124784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124784)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124784)Termination reason: Instruction limit
% 22.42/3.98 % (124784)Termination phase: Saturation
% 22.42/3.98 % (124784)Time elapsed: 0.100 s
% 22.42/3.98 % (124784)Peak memory usage: 91 MB
% 22.42/3.98 % (124784)Instructions burned: 157 (million)
% 22.42/3.98 % (124786)Instruction limit reached!
% 22.42/3.98 % (124786)------------------------------
% 22.42/3.98 % (124786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124786)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124786)Termination reason: Instruction limit
% 22.42/3.98 % (124786)Termination phase: Saturation
% 22.42/3.98 % (124786)Time elapsed: 0.066 s
% 22.42/3.98 % (124786)Peak memory usage: 90 MB
% 22.42/3.98 % (124786)Instructions burned: 107 (million)
% 22.42/3.98 % (124783)Instruction limit reached!
% 22.42/3.98 % (124783)------------------------------
% 22.42/3.98 % (124783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.98 % (124783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.98 % (124783)CaDiCaL version: 2.1.3
% 22.42/3.98 % (124783)Termination reason: Instruction limit
% 22.42/3.98 % (124783)Termination phase: Saturation
% 22.42/3.98 % (124783)Time elapsed: 0.130 s
% 23.54/5.30 % (124783)Peak memory usage: 91 MB
% 23.54/5.30 % (124783)Instructions burned: 196 (million)
% 23.54/5.30 % (124792)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=140249377:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.54/5.30 % (124791)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=909738302:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 23.54/5.30 % (124793)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4285522617:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.54/5.30 % (124791)Instruction limit reached!
% 23.54/5.30 % (124791)------------------------------
% 23.54/5.30 % (124791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124791)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124791)Termination reason: Instruction limit
% 23.54/5.30 % (124791)Termination phase: Saturation
% 23.54/5.30 % (124791)Time elapsed: 0.066 s
% 23.54/5.30 % (124791)Peak memory usage: 90 MB
% 23.54/5.30 % (124791)Instructions burned: 108 (million)
% 23.54/5.30 % (124792)Instruction limit reached!
% 23.54/5.30 % (124792)------------------------------
% 23.54/5.30 % (124792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124792)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124792)Termination reason: Instruction limit
% 23.54/5.30 % (124792)Termination phase: Saturation
% 23.54/5.30 % (124792)Time elapsed: 0.147 s
% 23.54/5.30 % (124792)Peak memory usage: 89 MB
% 23.54/5.30 % (124792)Instructions burned: 243 (million)
% 23.54/5.30 % (124797)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1189511410:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 23.54/5.30 % (124798)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=960459950:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 23.54/5.30 % (124797)Instruction limit reached!
% 23.54/5.30 % (124797)------------------------------
% 23.54/5.30 % (124797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124797)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124797)Termination reason: Instruction limit
% 23.54/5.30 % (124797)Termination phase: Saturation
% 23.54/5.30 % (124797)Time elapsed: 0.082 s
% 23.54/5.30 % (124797)Peak memory usage: 90 MB
% 23.54/5.30 % (124797)Instructions burned: 139 (million)
% 23.54/5.30 % (124801)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1798503903:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 23.54/5.30 % (124801)Instruction limit reached!
% 23.54/5.30 % (124801)------------------------------
% 23.54/5.30 % (124801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124801)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124801)Termination reason: Instruction limit
% 23.54/5.30 % (124801)Termination phase: Saturation
% 23.54/5.30 % (124801)Time elapsed: 0.116 s
% 23.54/5.30 % (124801)Peak memory usage: 90 MB
% 23.54/5.30 % (124801)Instructions burned: 193 (million)
% 23.54/5.30 % (124798)Instruction limit reached!
% 23.54/5.30 % (124798)------------------------------
% 23.54/5.30 % (124798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124798)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124798)Termination reason: Instruction limit
% 23.54/5.30 % (124798)Termination phase: Saturation
% 23.54/5.30 % (124798)Time elapsed: 0.322 s
% 23.54/5.30 % (124798)Peak memory usage: 94 MB
% 23.54/5.30 % (124798)Instructions burned: 499 (million)
% 23.54/5.30 % (124803)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2294266154:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 23.54/5.30 % (124804)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2114404599:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 23.54/5.30 % (124804)Instruction limit reached!
% 23.54/5.30 % (124804)------------------------------
% 23.54/5.30 % (124804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124804)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124804)Termination reason: Instruction limit
% 23.54/5.30 % (124804)Termination phase: Saturation
% 23.54/5.30 % (124804)Time elapsed: 0.096 s
% 23.54/5.30 % (124804)Peak memory usage: 90 MB
% 23.54/5.30 % (124804)Instructions burned: 156 (million)
% 23.54/5.30 % (124803)Instruction limit reached!
% 23.54/5.30 % (124803)------------------------------
% 23.54/5.30 % (124803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124803)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124803)Termination reason: Instruction limit
% 23.54/5.30 % (124803)Termination phase: Saturation
% 23.54/5.30 % (124803)Time elapsed: 0.148 s
% 23.54/5.30 % (124803)Peak memory usage: 92 MB
% 23.54/5.30 % (124803)Instructions burned: 266 (million)
% 23.54/5.30 % (124807)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=4252365325:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 23.54/5.30 % (124808)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1489525327:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 23.54/5.30 % (124808)Instruction limit reached!
% 23.54/5.30 % (124808)------------------------------
% 23.54/5.30 % (124808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124808)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124808)Termination reason: Instruction limit
% 23.54/5.30 % (124808)Termination phase: Saturation
% 23.54/5.30 % (124808)Time elapsed: 0.250 s
% 23.54/5.30 % (124808)Peak memory usage: 89 MB
% 23.54/5.30 % (124808)Instructions burned: 539 (million)
% 23.54/5.30 % (124811)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3233727617:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 23.54/5.30 % (124811)Instruction limit reached!
% 23.54/5.30 % (124811)------------------------------
% 23.54/5.30 % (124811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124811)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124811)Termination reason: Instruction limit
% 23.54/5.30 % (124811)Termination phase: Saturation
% 23.54/5.30 % (124811)Time elapsed: 0.102 s
% 23.54/5.30 % (124811)Peak memory usage: 89 MB
% 23.54/5.30 % (124811)Instructions burned: 180 (million)
% 23.54/5.30 % (124813)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=2603813576:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 23.54/5.30 % (124785)Instruction limit reached!
% 23.54/5.30 % (124785)------------------------------
% 23.54/5.30 % (124785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124785)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124785)Termination reason: Instruction limit
% 23.54/5.30 % (124785)Termination phase: Saturation
% 23.54/5.30 % (124785)Time elapsed: 2.102 s
% 23.54/5.30 % (124785)Peak memory usage: 148 MB
% 23.54/5.30 % (124785)Instructions burned: 3394 (million)
% 23.54/5.30 % (124816)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=2368721990:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 23.54/5.30 % (124816)Instruction limit reached!
% 23.54/5.30 % (124816)------------------------------
% 23.54/5.30 % (124816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124816)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124816)Termination reason: Instruction limit
% 23.54/5.30 % (124816)Termination phase: Saturation
% 23.54/5.30 % (124816)Time elapsed: 0.211 s
% 23.54/5.30 % (124816)Peak memory usage: 91 MB
% 23.54/5.30 % (124816)Instructions burned: 414 (million)
% 23.54/5.30 % (124818)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=519888713:s2pl=no:i=8478:s2at=4:nm=6_2968 on theBenchmark for (2968ds/8478Mi)
% 23.54/5.30 % (124807)Instruction limit reached!
% 23.54/5.30 % (124807)------------------------------
% 23.54/5.30 % (124807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124807)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124807)Termination reason: Instruction limit
% 23.54/5.30 % (124807)Termination phase: Saturation
% 23.54/5.30 % (124807)Time elapsed: 2.019 s
% 23.54/5.30 % (124807)Peak memory usage: 150 MB
% 23.54/5.30 % (124807)Instructions burned: 3256 (million)
% 23.54/5.30 % (124793)Instruction limit reached!
% 23.54/5.30 % (124793)------------------------------
% 23.54/5.30 % (124793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124793)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124793)Termination reason: Instruction limit
% 23.54/5.30 % (124793)Termination phase: Saturation
% 23.54/5.30 % (124793)Time elapsed: 3.134 s
% 23.54/5.30 % (124793)Peak memory usage: 164 MB
% 23.54/5.30 % (124793)Instructions burned: 5210 (million)
% 23.54/5.30 % (124820)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=3731241831:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2960 on theBenchmark for (2960ds/303Mi)
% 23.54/5.30 % (124821)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2837110463:st=4:i=720:sd=3:fsr=off:ss=axioms_2959 on theBenchmark for (2959ds/720Mi)
% 23.54/5.30 % (124820)Instruction limit reached!
% 23.54/5.30 % (124820)------------------------------
% 23.54/5.30 % (124820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124820)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124820)Termination reason: Instruction limit
% 23.54/5.30 % (124820)Termination phase: Saturation
% 23.54/5.30 % (124820)Time elapsed: 0.181 s
% 23.54/5.30 % (124820)Peak memory usage: 92 MB
% 23.54/5.30 % (124820)Instructions burned: 304 (million)
% 23.54/5.30 % (124763)First to succeed.
% 23.54/5.30 % (124763)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-124756"
% 23.54/5.30 % (124824)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1474161327:i=598:bs=on:bd=preordered:av=off:ss=axioms_2956 on theBenchmark for (2956ds/598Mi)
% 23.54/5.30 % (124821)Instruction limit reached!
% 23.54/5.30 % (124821)------------------------------
% 23.54/5.30 % (124821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.54/5.30 % (124821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.54/5.30 % (124821)CaDiCaL version: 2.1.3
% 23.54/5.30 % (124821)Termination reason: Instruction limit
% 23.54/5.30 % (124821)Termination phase: Saturation
% 23.54/5.30 % (124821)Time elapsed: 0.351 s
% 23.54/5.30 % (124821)Peak memory usage: 95 MB
% 23.54/5.30 % (124821)Instructions burned: 721 (million)
% 23.54/5.30 % (124763)Refutation found. Thanks to Tanya!
% 23.54/5.30 % SZS status Unsatisfiable for theBenchmark
% 23.54/5.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.50 % (124763)------------------------------
% 0.17/5.50 % (124763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/5.50 % (124763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.50 % (124763)CaDiCaL version: 2.1.3
% 0.17/5.50 % (124763)Termination reason: Refutation
% 0.17/5.50 % (124763)Time elapsed: 4.200 s
% 0.17/5.50 % (124763)Peak memory usage: 163 MB
% 0.17/5.50 % (124763)Instructions burned: 6713 (million)
% 0.17/5.50 % (124763)------------------------------
% 0.17/5.50 % (124763)------------------------------
% 0.17/5.50 % (124756)Success in time 4.669 s
% 0.17/5.50 % Vampire exiting
%------------------------------------------------------------------------------