%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW176+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 : n018.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 01:29:46 PM UTC 2026
% Result : Theorem 5.81s 1.82s
% Output : Refutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 75 ( 21 unt; 5 def)
% Number of atoms : 166 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 157 ( 66 ~; 72 |; 4 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,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(f16,axiom,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless(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_I10_J) ).
fof(f938,axiom,
! [X0,X1,X2] :
( class_Fields_Olinordered__field(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
=> c_Orderings_Oord__class_Oless(X2,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gt__half__sum) ).
fof(f939,axiom,
! [X0,X1,X2] :
( class_Fields_Olinordered__field(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
=> c_Orderings_Oord__class_Oless(X2,X1,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__half__sum) ).
fof(f1130,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1135,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(f1150,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1199,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1200,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1201,conjecture,
? [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f1202,negated_conjecture,
~ ? [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2) ),
inference(negated_conjecture,[status(cth)],[f1201]) ).
fof(f1217,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,[],[f8]) ).
fof(f1218,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,[],[f1217]) ).
fof(f1233,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(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f1234,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(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f1233]) ).
fof(f2212,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))),X0)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Fields_Olinordered__field(X2) ),
inference(ennf_transformation,[],[f938]) ).
fof(f2213,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))),X0)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Fields_Olinordered__field(X2) ),
inference(flattening,[],[f2212]) ).
fof(f2214,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X1,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))))
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Fields_Olinordered__field(X2) ),
inference(ennf_transformation,[],[f939]) ).
fof(f2215,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X1,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))))
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Fields_Olinordered__field(X2) ),
inference(flattening,[],[f2214]) ).
fof(f2278,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2) ),
inference(ennf_transformation,[],[f1202]) ).
fof(f2678,plain,
! [X2,X0,X1] :
( ~ class_Rings_Olinordered__idom(X2)
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| X0 = X1
| c_Orderings_Oord__class_Oless(X2,X0,X1) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2686,plain,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| c_Orderings_Oord__class_Oless(X3,X0,X1) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f4052,plain,
! [X2,X0,X1] :
( ~ class_Fields_Olinordered__field(X2)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless(X2,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2))),X0) ),
inference(cnf_transformation,[],[f2213]) ).
fof(f4053,plain,
! [X2,X0,X1] :
( ~ class_Fields_Olinordered__field(X2)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless(X2,X1,c_Rings_Oinverse__class_Odivide(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),c_Groups_Oplus__class_Oplus(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Oone__class_Oone(X2)))) ),
inference(cnf_transformation,[],[f2215]) ).
fof(f4257,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1130]) ).
fof(f4262,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1135]) ).
fof(f4277,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1150]) ).
fof(f4326,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),
inference(cnf_transformation,[],[f1199]) ).
fof(f4327,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),
inference(cnf_transformation,[],[f1200]) ).
fof(f4328,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(cnf_transformation,[],[f2278]) ).
fof(f4723,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f4262,f2678]) ).
fof(f4726,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
| v_d2 = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(resolution,[],[f4723,f4328]) ).
fof(f4740,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
inference(resolution,[],[f4277,f2686]) ).
fof(f4755,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
inference(resolution,[],[f4257,f4053]) ).
fof(f4756,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1) ),
inference(resolution,[],[f4257,f4052]) ).
fof(f4757,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_d1),
inference(resolution,[],[f4756,f4326]) ).
fof(f4758,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_d2),
inference(resolution,[],[f4756,f4327]) ).
fof(f4761,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_d1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(resolution,[],[f4758,f4328]) ).
fof(f4765,definition,
( spl66_3
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(definition,[new_symbols(definition,[spl66_3])],[avatar_definition]) ).
fof(f4766,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl66_3 ),
inference(avatar_component_clause,[],[f4765]) ).
fof(f4768,definition,
( spl66_4
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_d1) ),
introduced(definition,[new_symbols(definition,[spl66_4])],[avatar_definition]) ).
fof(f4769,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_d1)
| spl66_4 ),
inference(avatar_component_clause,[],[f4768]) ).
fof(f4770,plain,
( ~ spl66_3
| ~ spl66_4 ),
inference(avatar_split_clause,[],[f4761,f4768,f4765]) ).
fof(f4771,plain,
( $false
| spl66_3 ),
inference(unit_resulting_resolution,[],[f4053,f4257,f4327,f4766]) ).
fof(f4774,plain,
spl66_3,
inference(avatar_contradiction_clause,[],[f4771]) ).
fof(f4793,plain,
( v_d2 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(resolution,[],[f4757,f4726]) ).
fof(f4795,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1) ),
inference(resolution,[],[f4757,f4740]) ).
fof(f4797,definition,
( spl66_9
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(definition,[new_symbols(definition,[spl66_9])],[avatar_definition]) ).
fof(f4798,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl66_9 ),
inference(avatar_component_clause,[],[f4797]) ).
fof(f4800,definition,
( spl66_10
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(definition,[new_symbols(definition,[spl66_10])],[avatar_definition]) ).
fof(f4801,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ spl66_10 ),
inference(avatar_component_clause,[],[f4800]) ).
fof(f4803,definition,
( spl66_11
<=> v_d2 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
introduced(definition,[new_symbols(definition,[spl66_11])],[avatar_definition]) ).
fof(f4804,plain,
( v_d2 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f4803]) ).
fof(f4805,plain,
( ~ spl66_9
| spl66_10
| spl66_11 ),
inference(avatar_split_clause,[],[f4793,f4803,f4800,f4797]) ).
fof(f5083,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1)
| spl66_9 ),
inference(resolution,[],[f4798,f4755]) ).
fof(f5096,plain,
( $false
| spl66_9 ),
inference(forward_subsumption_resolution,[],[f5083,f4326]) ).
fof(f5097,plain,
spl66_9,
inference(avatar_contradiction_clause,[],[f5096]) ).
fof(f5098,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,v_d1)
| ~ spl66_10 ),
inference(resolution,[],[f4801,f4795]) ).
fof(f5103,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,v_d1)
| ~ spl66_11 ),
inference(superposition,[],[f4757,f4804]) ).
fof(f5115,plain,
( $false
| spl66_4
| ~ spl66_11 ),
inference(unit_resulting_resolution,[],[f2686,f4277,f4769,f4758,f5103]) ).
fof(f5120,plain,
( spl66_4
| ~ spl66_11 ),
inference(avatar_contradiction_clause,[],[f5115]) ).
fof(f5122,plain,
( $false
| spl66_4
| ~ spl66_10 ),
inference(unit_resulting_resolution,[],[f2686,f4277,f4769,f4758,f5098]) ).
fof(f5127,plain,
( spl66_4
| ~ spl66_10 ),
inference(avatar_contradiction_clause,[],[f5122]) ).
cnf(s3,plain,
( ~ spl66_3
| ~ spl66_4 ),
inference(sat_conversion,[],[f4770]) ).
cnf(s4,plain,
spl66_3,
inference(sat_conversion,[],[f4774]) ).
cnf(s9,plain,
( ~ spl66_9
| spl66_10
| spl66_11 ),
inference(sat_conversion,[],[f4805]) ).
cnf(s50,plain,
spl66_9,
inference(sat_conversion,[],[f5097]) ).
cnf(s54,plain,
( spl66_4
| ~ spl66_11 ),
inference(sat_conversion,[],[f5120]) ).
cnf(s56,plain,
( spl66_4
| ~ spl66_10 ),
inference(sat_conversion,[],[f5127]) ).
cnf(s57,plain,
( spl66_10
| spl66_11 ),
inference(rat,[],[s9,s50]) ).
cnf(s58,plain,
~ spl66_4,
inference(rat,[],[s3,s4]) ).
cnf(s59,plain,
~ spl66_10,
inference(rat,[],[s56,s58]) ).
cnf(s60,plain,
~ spl66_11,
inference(rat,[],[s54,s58]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s57,s60,s59]) ).
fof(f5128,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW176+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:14:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 5.81/1.82 % (3379605)Detected formulas, will run a generic FOF schedule.
% 5.81/1.82 % (3379611)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=2909215487:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.81/1.82 % (3379610)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=3319493320:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.81/1.82 % (3379612)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=81505911:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.81/1.82 % (3379615)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3734963331:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.81/1.82 % (3379614)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2231090010:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.81/1.82 % (3379613)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1316819475:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.81/1.82 % (3379616)dis-21_1_sil=8000:lcm=predicate:random_seed=3139482498: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)
% 5.81/1.82 % (3379614)Instruction limit reached!
% 5.81/1.82 % (3379614)------------------------------
% 5.81/1.82 % (3379614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379614)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379614)Termination reason: Instruction limit
% 5.81/1.82 % (3379614)Termination phase: Saturation
% 5.81/1.82 % (3379614)Time elapsed: 0.065 s
% 5.81/1.82 % (3379614)Peak memory usage: 89 MB
% 5.81/1.82 % (3379614)Instructions burned: 119 (million)
% 5.81/1.82 % (3379613)Instruction limit reached!
% 5.81/1.82 % (3379613)------------------------------
% 5.81/1.82 % (3379613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379613)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379613)Termination reason: Instruction limit
% 5.81/1.82 % (3379613)Termination phase: Saturation
% 5.81/1.82 % (3379613)Time elapsed: 0.068 s
% 5.81/1.82 % (3379613)Peak memory usage: 90 MB
% 5.81/1.82 % (3379613)Instructions burned: 110 (million)
% 5.81/1.82 % (3379616)Instruction limit reached!
% 5.81/1.82 % (3379616)------------------------------
% 5.81/1.82 % (3379616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379616)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379616)Termination reason: Instruction limit
% 5.81/1.82 % (3379616)Termination phase: Saturation
% 5.81/1.82 % (3379616)Time elapsed: 0.067 s
% 5.81/1.82 % (3379616)Peak memory usage: 91 MB
% 5.81/1.82 % (3379616)Instructions burned: 130 (million)
% 5.81/1.82 % (3379615)Instruction limit reached!
% 5.81/1.82 % (3379615)------------------------------
% 5.81/1.82 % (3379615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379615)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379615)Termination reason: Instruction limit
% 5.81/1.82 % (3379615)Termination phase: Saturation
% 5.81/1.82 % (3379615)Time elapsed: 0.076 s
% 5.81/1.82 % (3379615)Peak memory usage: 91 MB
% 5.81/1.82 % (3379615)Instructions burned: 139 (million)
% 5.81/1.82 % (3379624)lrs+10_1_sil=8000:sp=occurrence:random_seed=483198321:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.81/1.82 % (3379625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=322572569:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.81/1.82 % (3379626)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1853702264:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.81/1.82 % (3379627)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=1895803929:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.81/1.82 % (3379625)Instruction limit reached!
% 5.81/1.82 % (3379625)------------------------------
% 5.81/1.82 % (3379625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379625)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379625)Termination reason: Instruction limit
% 5.81/1.82 % (3379625)Termination phase: Saturation
% 5.81/1.82 % (3379625)Time elapsed: 0.072 s
% 5.81/1.82 % (3379625)Peak memory usage: 90 MB
% 5.81/1.82 % (3379625)Instructions burned: 157 (million)
% 5.81/1.82 % (3379627)Instruction limit reached!
% 5.81/1.82 % (3379627)------------------------------
% 5.81/1.82 % (3379627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379627)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379627)Termination reason: Instruction limit
% 5.81/1.82 % (3379627)Termination phase: Saturation
% 5.81/1.82 % (3379627)Time elapsed: 0.138 s
% 5.81/1.82 % (3379627)Peak memory usage: 92 MB
% 5.81/1.82 % (3379627)Instructions burned: 250 (million)
% 5.81/1.82 % (3379624)Instruction limit reached!
% 5.81/1.82 % (3379624)------------------------------
% 5.81/1.82 % (3379624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379624)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379624)Termination reason: Instruction limit
% 5.81/1.82 % (3379624)Termination phase: Saturation
% 5.81/1.82 % (3379624)Time elapsed: 0.168 s
% 5.81/1.82 % (3379624)Peak memory usage: 91 MB
% 5.81/1.82 % (3379624)Instructions burned: 286 (million)
% 5.81/1.82 % (3379632)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2935474465:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.81/1.82 % (3379626)Instruction limit reached!
% 5.81/1.82 % (3379626)------------------------------
% 5.81/1.82 % (3379626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379626)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379626)Termination reason: Instruction limit
% 5.81/1.82 % (3379626)Termination phase: Saturation
% 5.81/1.82 % (3379626)Time elapsed: 0.191 s
% 5.81/1.82 % (3379626)Peak memory usage: 91 MB
% 5.81/1.82 % (3379626)Instructions burned: 326 (million)
% 5.81/1.82 % (3379632)Instruction limit reached!
% 5.81/1.82 % (3379632)------------------------------
% 5.81/1.82 % (3379632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379632)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379632)Termination reason: Instruction limit
% 5.81/1.82 % (3379632)Termination phase: Saturation
% 5.81/1.82 % (3379632)Time elapsed: 0.088 s
% 5.81/1.82 % (3379632)Peak memory usage: 91 MB
% 5.81/1.82 % (3379632)Instructions burned: 298 (million)
% 5.81/1.82 % (3379633)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=605065905:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.81/1.82 % (3379634)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2062313542:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.81/1.82 % (3379636)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=180906050:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.81/1.82 % (3379637)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3647596648:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.81/1.82 % (3379634)Instruction limit reached!
% 5.81/1.82 % (3379634)------------------------------
% 5.81/1.82 % (3379634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379634)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379634)Termination reason: Instruction limit
% 5.81/1.82 % (3379634)Termination phase: Saturation
% 5.81/1.82 % (3379634)Time elapsed: 0.058 s
% 5.81/1.82 % (3379634)Peak memory usage: 90 MB
% 5.81/1.82 % (3379634)Instructions burned: 113 (million)
% 5.81/1.82 % (3379637)Instruction limit reached!
% 5.81/1.82 % (3379637)------------------------------
% 5.81/1.82 % (3379637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379637)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379637)Termination reason: Instruction limit
% 5.81/1.82 % (3379637)Termination phase: Saturation
% 5.81/1.82 % (3379637)Time elapsed: 0.032 s
% 5.81/1.82 % (3379637)Peak memory usage: 90 MB
% 5.81/1.82 % (3379637)Instructions burned: 116 (million)
% 5.81/1.82 % (3379636)Instruction limit reached!
% 5.81/1.82 % (3379636)------------------------------
% 5.81/1.82 % (3379636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379636)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379636)Termination reason: Instruction limit
% 5.81/1.82 % (3379636)Termination phase: Saturation
% 5.81/1.82 % (3379636)Time elapsed: 0.062 s
% 5.81/1.82 % (3379636)Peak memory usage: 90 MB
% 5.81/1.82 % (3379636)Instructions burned: 127 (million)
% 5.81/1.82 % (3379643)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4272941971:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.81/1.82 % (3379642)lrs+10_1_sil=8000:sp=occurrence:random_seed=2678813015:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.81/1.82 % (3379611)First to succeed.
% 5.81/1.82 % (3379611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3379605"
% 5.81/1.82 % (3379644)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1315612714:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.81/1.82 % (3379643)Instruction limit reached!
% 5.81/1.82 % (3379643)------------------------------
% 5.81/1.82 % (3379643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379643)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379643)Termination reason: Instruction limit
% 5.81/1.82 % (3379643)Termination phase: Saturation
% 5.81/1.82 % (3379643)Time elapsed: 0.121 s
% 5.81/1.82 % (3379643)Peak memory usage: 93 MB
% 5.81/1.82 % (3379643)Instructions burned: 440 (million)
% 5.81/1.82 % (3379648)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4261362241:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 5.81/1.82 % (3379648)Instruction limit reached!
% 5.81/1.82 % (3379648)------------------------------
% 5.81/1.82 % (3379648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.82 % (3379648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.82 % (3379648)CaDiCaL version: 2.1.3
% 5.81/1.82 % (3379648)Termination reason: Instruction limit
% 5.81/1.82 % (3379648)Termination phase: Saturation
% 5.81/1.82 % (3379648)Time elapsed: 0.040 s
% 5.81/1.82 % (3379648)Peak memory usage: 92 MB
% 5.81/1.82 % (3379648)Instructions burned: 137 (million)
% 5.81/1.82 % (3379611)Refutation found. Thanks to Tanya!
% 5.81/1.82 % SZS status Theorem for theBenchmark
% 5.81/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.48/2.02 % (3379611)------------------------------
% 8.48/2.02 % (3379611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.48/2.02 % (3379611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/2.02 % (3379611)CaDiCaL version: 2.1.3
% 8.48/2.02 % (3379611)Termination reason: Refutation
% 8.48/2.02 % (3379611)Time elapsed: 0.743 s
% 8.48/2.02 % (3379611)Peak memory usage: 147 MB
% 8.48/2.02 % (3379611)Instructions burned: 1620 (million)
% 8.48/2.02 % (3379611)------------------------------
% 8.48/2.02 % (3379611)------------------------------
% 8.48/2.02 % (3379605)Success in time 1.166 s
% 8.48/2.02 % Vampire exiting
%------------------------------------------------------------------------------