%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW224+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:29:53 PM UTC 2026
% Result : Theorem 21.22s 3.73s
% Output : Refutation 22.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 100 ( 36 unt; 5 def)
% Number of atoms : 236 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 245 ( 109 ~; 102 |; 12 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Olinordered__idom(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
<=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
& c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__diff__less__iff) ).
fof(f38,axiom,
! [X0,X1,X2] :
( class_Orderings_Oorder(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
=> ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I9_J) ).
fof(f63,axiom,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless(X3,X0,X2)
=> c_Orderings_Oord__class_Oless(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I8_J) ).
fof(f65,axiom,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
=> c_Orderings_Oord__class_Oless(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
fof(f97,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
<=> c_Orderings_Oord__class_Oless(X3,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__right) ).
fof(f101,axiom,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).
fof(f105,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f117,axiom,
! [X0,X1,X2] :
( class_Rings_Olinordered__idom(X2)
=> ( X1 != X0
=> ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
=> c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).
fof(f414,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f1099,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).
fof(f1131,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(f1143,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(f1145,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1186,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1187,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1188,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f1189,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(negated_conjecture,[status(cth)],[f1188]) ).
fof(f1199,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(flattening,[],[f1189]) ).
fof(f1204,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
<=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
& c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f1264,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Oorder(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Oorder(X2) ),
inference(flattening,[],[f1264]) ).
fof(f1303,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f63]) ).
fof(f1304,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f1303]) ).
fof(f1307,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f1308,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f1307]) ).
fof(f1363,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
<=> c_Orderings_Oord__class_Oless(X3,X2,X0) )
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
inference(ennf_transformation,[],[f97]) ).
fof(f1369,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f1382,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| X0 = X1
| ~ class_Rings_Olinordered__idom(X2) ),
inference(ennf_transformation,[],[f117]) ).
fof(f1383,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| X0 = X1
| ~ class_Rings_Olinordered__idom(X2) ),
inference(flattening,[],[f1382]) ).
fof(f2230,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) )
& ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
& c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(nnf_transformation,[],[f1204]) ).
fof(f2231,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) )
& ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
& c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(flattening,[],[f2230]) ).
fof(f2259,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
| ~ c_Orderings_Oord__class_Oless(X3,X2,X0) )
& ( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1)) ) )
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
inference(nnf_transformation,[],[f1363]) ).
fof(f2264,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 = X1 )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f2265,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 = X1 )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f2264]) ).
fof(f2622,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Olinordered__idom(X3) ),
inference(cnf_transformation,[],[f2231]) ).
fof(f2662,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ class_Orderings_Oorder(X2) ),
inference(cnf_transformation,[],[f1265]) ).
fof(f2695,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
| c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(cnf_transformation,[],[f1304]) ).
fof(f2697,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(cnf_transformation,[],[f1308]) ).
fof(f2742,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
| c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
inference(cnf_transformation,[],[f2259]) ).
fof(f2749,plain,
! [X2,X0,X1] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f1369]) ).
fof(f2755,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f2265]) ).
fof(f2770,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless(X2,X0,X1)
| X0 = X1
| ~ class_Rings_Olinordered__idom(X2) ),
inference(cnf_transformation,[],[f1383]) ).
fof(f3176,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f414]) ).
fof(f4154,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1099]) ).
fof(f4186,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1131]) ).
fof(f4198,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1143]) ).
fof(f4200,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1145]) ).
fof(f4241,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
inference(cnf_transformation,[],[f1186]) ).
fof(f4242,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
inference(cnf_transformation,[],[f1187]) ).
fof(f4243,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(cnf_transformation,[],[f1199]) ).
fof(f4432,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f2755]) ).
fof(f4586,definition,
sF83 = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m),
introduced(definition,[new_symbols(definition,[sF83])],[function_definition]) ).
fof(f4587,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m) = sF83,
inference(reorient_equations,[],[f4586]) ).
fof(f4588,definition,
sF84 = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF83),
introduced(definition,[new_symbols(definition,[sF84])],[function_definition]) ).
fof(f4589,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF83) = sF84,
inference(reorient_equations,[],[f4588]) ).
fof(f4590,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF84,v_e),
inference(definition_folding,[],[f4243,f4589,f4587]) ).
fof(f4665,plain,
sF84 = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,sF83),
inference(forward_demodulation,[],[f4589,f3176]) ).
fof(f4717,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,X0)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f2697,f4241]) ).
fof(f4718,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,X0) ),
inference(forward_subsumption_resolution,[],[f4717,f4200]) ).
fof(f4720,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_m)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_x)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f2695,f4241]) ).
fof(f4721,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_m)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_x) ),
inference(forward_subsumption_resolution,[],[f4720,f4200]) ).
fof(f5361,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
inference(resolution,[],[f4718,f4242]) ).
fof(f5387,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_x)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,X0)
| v_m = X0
| ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[],[f4721,f2770]) ).
fof(f5388,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_x)
| v_m = X0 ),
inference(forward_subsumption_resolution,[],[f5387,f4186]) ).
fof(f5999,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF83),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,X0),v_x)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,X0))
| ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
inference(superposition,[],[f2622,f4587]) ).
fof(f6004,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF83),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,X0),v_x)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,X0)) ),
inference(forward_subsumption_resolution,[],[f5999,f4186]) ).
fof(f6014,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,sF83),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,X0),v_x)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,X0)) ),
inference(forward_demodulation,[],[f6004,f3176]) ).
fof(f6024,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,X0),v_x)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF84,X0) ),
inference(forward_demodulation,[],[f6014,f4665]) ).
fof(f6026,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e),v_x)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF84,v_e) ),
inference(resolution,[],[f6024,f4242]) ).
fof(f6037,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e),v_x),
inference(forward_subsumption_resolution,[],[f6026,f4590]) ).
fof(f6047,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e))
| v_m = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) ),
inference(resolution,[],[f6037,f5388]) ).
fof(f6064,definition,
( spl85_48
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)) ),
introduced(definition,[new_symbols(definition,[spl85_48])],[avatar_definition]) ).
fof(f6066,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e))
| ~ spl85_48 ),
inference(avatar_component_clause,[],[f6064]) ).
fof(f6069,definition,
( spl85_49
<=> v_m = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) ),
introduced(definition,[new_symbols(definition,[spl85_49])],[avatar_definition]) ).
fof(f6071,plain,
( v_m = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)
| ~ spl85_49 ),
inference(avatar_component_clause,[],[f6069]) ).
fof(f6072,plain,
( spl85_49
| spl85_48 ),
inference(avatar_split_clause,[],[f6047,f6064,f6069]) ).
fof(f18771,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),X1) = X0,
inference(resolution,[],[f4198,f2749]) ).
fof(f18855,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),X2)
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
inference(superposition,[],[f2742,f18771]) ).
fof(f18868,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f18855,f4154]) ).
fof(f25597,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e),v_m),
inference(resolution,[],[f18868,f5361]) ).
fof(f25840,definition,
( spl85_198
<=> v_m = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e) ),
introduced(definition,[new_symbols(definition,[spl85_198])],[avatar_definition]) ).
fof(f25841,plain,
( v_m != c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)
| spl85_198 ),
inference(avatar_component_clause,[],[f25840]) ).
fof(f25842,plain,
( v_m = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)
| ~ spl85_198 ),
inference(avatar_component_clause,[],[f25840]) ).
fof(f26475,plain,
( v_m = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)
| ~ spl85_49 ),
inference(superposition,[],[f18771,f6071]) ).
fof(f26497,plain,
( $false
| ~ spl85_49
| spl85_198 ),
inference(forward_subsumption_resolution,[],[f26475,f25841]) ).
fof(f26498,plain,
( ~ spl85_49
| spl85_198 ),
inference(avatar_contradiction_clause,[],[f26497]) ).
fof(f26802,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,v_m)
| ~ spl85_198 ),
inference(superposition,[],[f5361,f25842]) ).
fof(f26896,plain,
( $false
| ~ spl85_198 ),
inference(forward_subsumption_resolution,[],[f26802,f4432]) ).
fof(f26897,plain,
~ spl85_198,
inference(avatar_contradiction_clause,[],[f26896]) ).
fof(f26983,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e),v_m)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| ~ spl85_48 ),
inference(resolution,[],[f6066,f2662]) ).
fof(f26991,plain,
( ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| ~ spl85_48 ),
inference(forward_subsumption_resolution,[],[f26983,f25597]) ).
fof(f27005,plain,
( $false
| ~ spl85_48 ),
inference(forward_subsumption_resolution,[],[f26991,f4200]) ).
fof(f27006,plain,
~ spl85_48,
inference(avatar_contradiction_clause,[],[f27005]) ).
cnf(s45,plain,
( spl85_48
| spl85_49 ),
inference(sat_conversion,[],[f6072]) ).
cnf(s529,plain,
( ~ spl85_49
| spl85_198 ),
inference(sat_conversion,[],[f26498]) ).
cnf(s542,plain,
~ spl85_198,
inference(sat_conversion,[],[f26897]) ).
cnf(s548,plain,
~ spl85_48,
inference(sat_conversion,[],[f27006]) ).
cnf(s550,plain,
~ spl85_49,
inference(rat,[],[s529,s542]) ).
cnf(s562,plain,
$false,
inference(rat,[],[s45,s550,s548]) ).
fof(f27017,plain,
$false,
inference(avatar_sat_refutation,[],[s562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW224+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n006.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 13:18:40 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 12.15/2.45 % (3960223)Detected formulas, will run a generic FOF schedule.
% 12.15/2.45 % (3960234)dis-21_1_sil=8000:lcm=predicate:random_seed=2936537062:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.15/2.45 % (3960234)Instruction limit reached!
% 12.15/2.45 % (3960234)------------------------------
% 12.15/2.45 % (3960234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3960234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3960234)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3960234)Termination reason: Instruction limit
% 12.15/2.45 % (3960234)Termination phase: Saturation
% 12.15/2.45 % (3960234)Time elapsed: 0.037 s
% 12.15/2.45 % (3960234)Peak memory usage: 91 MB
% 12.15/2.45 % (3960234)Instructions burned: 130 (million)
% 12.15/2.45 % (3960228)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=1590768660:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.15/2.45 % (3960231)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3796787745:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.15/2.45 % (3960233)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3764309688:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.15/2.45 % (3960229)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3038811725:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.15/2.45 % (3960230)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1820644823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.15/2.45 % (3960232)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1692040040:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.15/2.45 % (3960231)Instruction limit reached!
% 12.15/2.45 % (3960231)------------------------------
% 12.15/2.45 % (3960231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3960231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3960231)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3960231)Termination reason: Instruction limit
% 12.15/2.45 % (3960231)Termination phase: Saturation
% 12.15/2.45 % (3960231)Time elapsed: 0.068 s
% 12.15/2.45 % (3960231)Peak memory usage: 90 MB
% 12.15/2.45 % (3960231)Instructions burned: 110 (million)
% 12.15/2.45 % (3960232)Instruction limit reached!
% 12.15/2.45 % (3960232)------------------------------
% 12.15/2.45 % (3960232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3960232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3960232)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3960232)Termination reason: Instruction limit
% 12.15/2.45 % (3960232)Termination phase: Saturation
% 12.15/2.45 % (3960232)Time elapsed: 0.069 s
% 12.15/2.45 % (3960232)Peak memory usage: 89 MB
% 12.15/2.45 % (3960232)Instructions burned: 120 (million)
% 12.15/2.45 % (3960233)Instruction limit reached!
% 12.15/2.45 % (3960233)------------------------------
% 12.15/2.45 % (3960233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3960233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3960233)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3960233)Termination reason: Instruction limit
% 12.15/2.45 % (3960233)Termination phase: Saturation
% 12.15/2.45 % (3960233)Time elapsed: 0.081 s
% 12.15/2.45 % (3960233)Peak memory usage: 91 MB
% 12.15/2.45 % (3960233)Instructions burned: 139 (million)
% 12.15/2.45 % (3960242)lrs+10_1_sil=8000:sp=occurrence:random_seed=2209947953:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.15/2.45 % (3960242)Instruction limit reached!
% 12.15/2.45 % (3960242)------------------------------
% 12.15/2.45 % (3960242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3960242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3960242)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3960242)Termination reason: Instruction limit
% 12.15/2.45 % (3960242)Termination phase: Saturation
% 12.15/2.45 % (3960242)Time elapsed: 0.098 s
% 12.15/2.45 % (3960242)Peak memory usage: 92 MB
% 12.15/2.45 % (3960242)Instructions burned: 286 (million)
% 18.53/3.31 % (3960244)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1899300040:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.53/3.31 % (3960243)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2994512347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.53/3.31 % (3960245)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1445350550:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.53/3.31 % (3960243)Instruction limit reached!
% 18.53/3.31 % (3960243)------------------------------
% 18.53/3.31 % (3960243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.31 % (3960243)CaDiCaL version: 2.1.3
% 18.53/3.31 % (3960243)Termination reason: Instruction limit
% 18.53/3.31 % (3960243)Termination phase: Saturation
% 18.53/3.31 % (3960243)Time elapsed: 0.087 s
% 18.53/3.31 % (3960243)Peak memory usage: 91 MB
% 18.53/3.31 % (3960243)Instructions burned: 157 (million)
% 18.53/3.31 % (3960249)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4033905910:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.53/3.31 % (3960244)Instruction limit reached!
% 18.53/3.31 % (3960244)------------------------------
% 18.53/3.31 % (3960244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.31 % (3960244)CaDiCaL version: 2.1.3
% 18.53/3.31 % (3960244)Termination reason: Instruction limit
% 18.53/3.31 % (3960244)Termination phase: Saturation
% 18.53/3.31 % (3960244)Time elapsed: 0.132 s
% 18.53/3.31 % (3960244)Peak memory usage: 90 MB
% 18.53/3.31 % (3960244)Instructions burned: 327 (million)
% 18.53/3.31 % (3960245)Instruction limit reached!
% 18.53/3.31 % (3960245)------------------------------
% 18.53/3.31 % (3960245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.31 % (3960245)CaDiCaL version: 2.1.3
% 18.53/3.31 % (3960245)Termination reason: Instruction limit
% 18.53/3.31 % (3960245)Termination phase: Saturation
% 18.53/3.31 % (3960245)Time elapsed: 0.145 s
% 18.53/3.31 % (3960245)Peak memory usage: 92 MB
% 18.53/3.31 % (3960245)Instructions burned: 249 (million)
% 18.53/3.31 % (3960249)Instruction limit reached!
% 18.53/3.31 % (3960249)------------------------------
% 18.53/3.31 % (3960249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.31 % (3960249)CaDiCaL version: 2.1.3
% 18.53/3.31 % (3960249)Termination reason: Instruction limit
% 18.53/3.31 % (3960249)Termination phase: Saturation
% 18.53/3.31 % (3960249)Time elapsed: 0.097 s
% 18.53/3.31 % (3960249)Peak memory usage: 92 MB
% 18.53/3.31 % (3960249)Instructions burned: 296 (million)
% 18.53/3.31 % (3960251)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2606582648:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.53/3.31 % (3960253)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3865466827:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.53/3.31 % (3960254)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2507830532:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.53/3.31 % (3960255)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3493172879:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 18.53/3.31 % (3960253)Instruction limit reached!
% 18.53/3.31 % (3960253)------------------------------
% 18.53/3.31 % (3960253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.31 % (3960253)CaDiCaL version: 2.1.3
% 18.53/3.31 % (3960253)Termination reason: Instruction limit
% 18.53/3.31 % (3960253)Termination phase: Saturation
% 18.53/3.31 % (3960253)Time elapsed: 0.059 s
% 18.53/3.31 % (3960253)Peak memory usage: 90 MB
% 18.53/3.31 % (3960253)Instructions burned: 113 (million)
% 18.53/3.31 % (3960255)Instruction limit reached!
% 18.53/3.31 % (3960255)------------------------------
% 18.53/3.31 % (3960255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.31 % (3960255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960255)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960255)Termination reason: Instruction limit
% 21.22/3.73 % (3960255)Termination phase: Saturation
% 21.22/3.73 % (3960255)Time elapsed: 0.030 s
% 21.22/3.73 % (3960255)Peak memory usage: 90 MB
% 21.22/3.73 % (3960255)Instructions burned: 115 (million)
% 21.22/3.73 % (3960254)Instruction limit reached!
% 21.22/3.73 % (3960254)------------------------------
% 21.22/3.73 % (3960254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960254)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960254)Termination reason: Instruction limit
% 21.22/3.73 % (3960254)Termination phase: Saturation
% 21.22/3.73 % (3960254)Time elapsed: 0.062 s
% 21.22/3.73 % (3960254)Peak memory usage: 90 MB
% 21.22/3.73 % (3960254)Instructions burned: 128 (million)
% 21.22/3.73 % (3960260)lrs+10_1_sil=8000:sp=occurrence:random_seed=678527644:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 21.22/3.73 % (3960261)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=715701426:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 21.22/3.73 % (3960262)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1070729969:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 21.22/3.73 % (3960261)Instruction limit reached!
% 21.22/3.73 % (3960261)------------------------------
% 21.22/3.73 % (3960261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960261)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960261)Termination reason: Instruction limit
% 21.22/3.73 % (3960261)Termination phase: Saturation
% 21.22/3.73 % (3960261)Time elapsed: 0.127 s
% 21.22/3.73 % (3960261)Peak memory usage: 94 MB
% 21.22/3.73 % (3960261)Instructions burned: 438 (million)
% 21.22/3.73 % (3960266)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=466170985:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 21.22/3.73 % (3960266)Instruction limit reached!
% 21.22/3.73 % (3960266)------------------------------
% 21.22/3.73 % (3960266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960266)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960266)Termination reason: Instruction limit
% 21.22/3.73 % (3960266)Termination phase: Saturation
% 21.22/3.73 % (3960266)Time elapsed: 0.038 s
% 21.22/3.73 % (3960266)Peak memory usage: 92 MB
% 21.22/3.73 % (3960266)Instructions burned: 135 (million)
% 21.22/3.73 % (3960268)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2872921611:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 21.22/3.73 % (3960260)Instruction limit reached!
% 21.22/3.73 % (3960260)------------------------------
% 21.22/3.73 % (3960260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960260)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960260)Termination reason: Instruction limit
% 21.22/3.73 % (3960260)Termination phase: Saturation
% 21.22/3.73 % (3960260)Time elapsed: 0.567 s
% 21.22/3.73 % (3960260)Peak memory usage: 97 MB
% 21.22/3.73 % (3960260)Instructions burned: 908 (million)
% 21.22/3.73 % (3960270)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1260406312:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 21.22/3.73 % (3960268)Instruction limit reached!
% 21.22/3.73 % (3960268)------------------------------
% 21.22/3.73 % (3960268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960268)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960268)Termination reason: Instruction limit
% 21.22/3.73 % (3960268)Termination phase: Saturation
% 21.22/3.73 % (3960268)Time elapsed: 0.352 s
% 21.22/3.73 % (3960268)Peak memory usage: 94 MB
% 21.22/3.73 % (3960268)Instructions burned: 592 (million)
% 21.22/3.73 % (3960251)Instruction limit reached!
% 21.22/3.73 % (3960251)------------------------------
% 21.22/3.73 % (3960251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960251)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960251)Termination reason: Instruction limit
% 21.22/3.73 % (3960251)Termination phase: Saturation
% 21.22/3.73 % (3960251)Time elapsed: 1.102 s
% 21.22/3.73 % (3960251)Peak memory usage: 145 MB
% 21.22/3.73 % (3960251)Instructions burned: 2352 (million)
% 21.22/3.73 % (3960273)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2793840727:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 21.22/3.73 % (3960272)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2909586145:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 21.22/3.73 % (3960273)Instruction limit reached!
% 21.22/3.73 % (3960273)------------------------------
% 21.22/3.73 % (3960273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960273)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960273)Termination reason: Instruction limit
% 21.22/3.73 % (3960273)Termination phase: Saturation
% 21.22/3.73 % (3960273)Time elapsed: 0.034 s
% 21.22/3.73 % (3960273)Peak memory usage: 90 MB
% 21.22/3.73 % (3960273)Instructions burned: 135 (million)
% 21.22/3.73 % (3960272)Instruction limit reached!
% 21.22/3.73 % (3960272)------------------------------
% 21.22/3.73 % (3960272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960272)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960272)Termination reason: Instruction limit
% 21.22/3.73 % (3960272)Termination phase: Saturation
% 21.22/3.73 % (3960272)Time elapsed: 0.068 s
% 21.22/3.73 % (3960272)Peak memory usage: 91 MB
% 21.22/3.73 % (3960272)Instructions burned: 127 (million)
% 21.22/3.73 % (3960276)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3713190457:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 21.22/3.73 % (3960276)Instruction limit reached!
% 21.22/3.73 % (3960276)------------------------------
% 21.22/3.73 % (3960276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960276)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960276)Termination reason: Instruction limit
% 21.22/3.73 % (3960276)Termination phase: Saturation
% 21.22/3.73 % (3960276)Time elapsed: 0.035 s
% 21.22/3.73 % (3960276)Peak memory usage: 90 MB
% 21.22/3.73 % (3960276)Instructions burned: 142 (million)
% 21.22/3.73 % (3960277)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3546737783:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 21.22/3.73 % (3960277)Refutation not found, incomplete strategy
% 21.22/3.73 % (3960277)------------------------------
% 21.22/3.73 % (3960277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960277)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960277)Termination reason: Refutation not found, incomplete strategy
% 21.22/3.73 % (3960277)Time elapsed: 0.012 s
% 21.22/3.73 % (3960277)Peak memory usage: 89 MB
% 21.22/3.73 % (3960277)Instructions burned: 19 (million)
% 21.22/3.73 % (3960279)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=437403318:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 21.22/3.73 % (3960277)------------------------------
% 21.22/3.73 % (3960277)------------------------------
% 21.22/3.73 % (3960282)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3165262607:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 21.22/3.73 % (3960282)Instruction limit reached!
% 21.22/3.73 % (3960282)------------------------------
% 21.22/3.73 % (3960282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.73 % (3960282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.73 % (3960282)CaDiCaL version: 2.1.3
% 21.22/3.73 % (3960282)Termination reason: Instruction limit
% 21.22/3.73 % (3960282)Termination phase: Saturation
% 21.22/3.73 % (3960282)Time elapsed: 0.084 s
% 21.22/3.73 % (3960282)Peak memory usage: 92 MB
% 21.22/3.73 % (3960282)Instructions burned: 155 (million)
% 21.22/3.73 % (3960228)First to succeed.
% 21.22/3.73 % (3960228)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3960223"
% 21.22/3.73 % (3960284)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3573833843:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 21.22/3.73 % (3960228)Refutation found. Thanks to Tanya!
% 21.22/3.73 % SZS status Theorem for theBenchmark
% 21.22/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 22.02/3.93 % (3960228)------------------------------
% 22.02/3.93 % (3960228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.02/3.93 % (3960228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.93 % (3960228)CaDiCaL version: 2.1.3
% 22.02/3.93 % (3960228)Termination reason: Refutation
% 22.02/3.93 % (3960228)Time elapsed: 2.579 s
% 22.02/3.93 % (3960228)Peak memory usage: 152 MB
% 22.02/3.93 % (3960228)Instructions burned: 3967 (million)
% 22.02/3.93 % (3960228)------------------------------
% 22.02/3.93 % (3960228)------------------------------
% 22.02/3.93 % (3960223)Success in time 3.066 s
% 22.02/3.93 % Vampire exiting
%------------------------------------------------------------------------------