%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW179+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 : Fri Sep 25 03:29:12 PM UTC 2026
% Result : Theorem 62.65s 9.41s
% Output : CNFRefutation 62.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 105 ( 54 unt; 9 def)
% Number of atoms : 254 ( 70 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 147 ( 69 ~; 67 |; 1 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 124 ( 0 sgn 124 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X3),X2)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X1),X0)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__add__less) ).
fof(f22,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(f98,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__norm__cancel) ).
fof(f124,axiom,
! [X0] :
( class_RealVector_Oreal__normed__vector(X0)
=> c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__zero) ).
fof(f140,axiom,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__abs__iff) ).
fof(f152,axiom,
! [X0,X1] :
( class_Groups_Omonoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__left) ).
fof(f155,axiom,
! [X0,X1] :
( class_Groups_Omonoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__right) ).
fof(f1122,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1129,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1158,axiom,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__add) ).
fof(f1184,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1275,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1276,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(negated_conjecture,[status(cth)],[f1275]) ).
fof(f1285,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(flattening,[],[f1276]) ).
fof(f1290,plain,
! [X0,X1,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X3),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X1),X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f1291,plain,
! [X0,X1,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X3),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X1),X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0)) ),
inference(flattening,[],[f1290]) ).
fof(f1408,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f1451,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(ennf_transformation,[],[f124]) ).
fof(f1478,plain,
! [X0,X1] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) ) ),
inference(ennf_transformation,[],[f140]) ).
fof(f1493,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
inference(ennf_transformation,[],[f152]) ).
fof(f1496,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(ennf_transformation,[],[f155]) ).
fof(f2442,plain,
! [X0,X1] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ( ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
| X0 != c_Groups_Ozero__class_Ozero(X1) )
& ( c_Groups_Ozero__class_Ozero(X1) = X0
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f1478]) ).
fof(f2806,plain,
! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
inference(cnf_transformation,[],[f4]) ).
fof(f2808,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X3),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X1),X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0)) ),
inference(cnf_transformation,[],[f1291]) ).
fof(f2834,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f2936,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(X1,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)) ),
inference(cnf_transformation,[],[f1408]) ).
fof(f2977,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(cnf_transformation,[],[f1451]) ).
fof(f2995,plain,
! [X0,X1] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1)
| c_Groups_Ozero__class_Ozero(X1) = X0
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0)) ),
inference(cnf_transformation,[],[f2442]) ).
fof(f3012,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
inference(cnf_transformation,[],[f1493]) ).
fof(f3016,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(cnf_transformation,[],[f1496]) ).
fof(f4371,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1122]) ).
fof(f4378,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1129]) ).
fof(f4407,plain,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1158]) ).
fof(f4433,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1184]) ).
fof(f4524,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(cnf_transformation,[],[f1285]) ).
tcf(c_52,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
inference(cnf_transformation,[],[f2806]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X2))
| ~ class_RealVector_Oreal__normed__vector(X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2) ),
inference(cnf_transformation,[],[f2808]) ).
tcf(c_80,plain,
! [X0: $i] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f2834]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) )
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(cnf_transformation,[],[f2936]) ).
tcf(c_221,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(cnf_transformation,[],[f2977]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
| ( c_Groups_Ozero__class_Ozero(X0) = X1 )
| ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
inference(cnf_transformation,[],[f2995]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 )
| ~ class_Groups_Omonoid__add(X0) ),
inference(cnf_transformation,[],[f3012]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 )
| ~ class_Groups_Omonoid__add(X0) ),
inference(cnf_transformation,[],[f3016]) ).
tcf(c_1573,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4371]) ).
tcf(c_1580,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4378]) ).
tcf(c_1609,plain,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4407]) ).
tcf(c_1635,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f4433]) ).
tcf(c_1726,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(cnf_transformation,[],[f4524]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) )
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(prop_impl_just,[status(thm)],[c_180]) ).
tcf(c_2726,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(prop_impl_just,[status(thm)],[c_221]) ).
tcf(c_3026,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 )
| ~ class_Groups_Omonoid__add(X0) ),
inference(prop_impl_just,[status(thm)],[c_250]) ).
tcf(c_3028,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 )
| ~ class_Groups_Omonoid__add(X0) ),
inference(prop_impl_just,[status(thm)],[c_254]) ).
tcf(c_19448,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3028,c_1609]) ).
tcf(c_19449,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = X0,
inference(unflattening,[status(thm)],[c_19448]) ).
tcf(c_19454,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3026,c_1609]) ).
tcf(c_19455,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = X0,
inference(unflattening,[status(thm)],[c_19454]) ).
tcf(c_27551,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
| ( c_Groups_Ozero__class_Ozero(X0) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_1573]) ).
tcf(c_27552,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ) ),
inference(unflattening,[status(thm)],[c_27551]) ).
tcf(c_29833,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_2726,c_1580]) ).
tcf(c_29834,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_29833]) ).
tcf(c_29838,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_2724,c_1580]) ).
tcf(c_29839,plain,
! [X0: $i] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(unflattening,[status(thm)],[c_29838]) ).
tcf(c_29890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1580]) ).
tcf(c_29891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2),X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),X1) ),
inference(unflattening,[status(thm)],[c_29890]) ).
tcf(c_30253,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_2724,c_1635]) ).
tcf(c_30254,plain,
! [X0: $i] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),
inference(unflattening,[status(thm)],[c_30253]) ).
tcf(c_49493,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_29834,c_80]) ).
tcf(c_49526,plain,
! [X0: $i] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(light_normalisation,[status(thm)],[c_29839,c_80]) ).
tcf(c_53165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_29891,c_80]) ).
tcf(c_53166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_53165,c_80]) ).
tcf(c_53167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1) ),
inference(demodulation,[status(thm)],[c_53166,c_80]) ).
tcf(c_73048,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ) ),
inference(prop_impl_just,[status(thm)],[c_27552]) ).
tcf(c_103360,definition,
iPr_def_10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_103361,definition,
iPr_def_11 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_103362,definition,
iPr_def_12 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_103363,definition,
iPr_def_13 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_103364,definition,
iPr_def_14 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_103365,definition,
iPr_def_15 = hAPP(iPr_def_14,v_r),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_103366,definition,
iPr_def_16 = hAPP(iPr_def_15,v_m____),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_103367,definition,
iPr_def_17 = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_103368,definition,
iPr_def_18 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_13,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_103369,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_18),
inference(demodulation,[status(thm)],[c_1726,c_103364,c_103365,c_103366,c_103367,c_103362,c_103361,c_103363,c_103368,c_103360]) ).
tcf(c_125399,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)),iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),iPr_def_17)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_103368,c_53167]) ).
tcf(c_125636,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,iPr_def_10) = X0,
inference(light_normalisation,[status(thm)],[c_19449,c_103360]) ).
tcf(c_125672,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_19455,c_103360]) ).
tcf(c_125693,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_49493,c_103360]) ).
tcf(c_126049,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_11,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
inference(light_normalisation,[status(thm)],[c_52,c_103360,c_103361]) ).
tcf(c_126166,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_103362,c_30254]) ).
tcf(c_126188,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_11,iPr_def_12)),
inference(superposition,[status(thm)],[c_126166,c_126049]) ).
tcf(c_126193,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_126188,c_103363]) ).
tcf(c_126286,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_103367,c_49526]) ).
tcf(c_126343,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_10),iPr_def_13)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_125672,c_125399]) ).
tcf(c_126345,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_13)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_126343,c_125693]) ).
tcf(c_126346,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126345,c_126193]) ).
tcf(c_129706,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| ( X0 = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_73048,c_103360]) ).
tcf(c_129720,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_17)
| ( iPr_def_10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_126286,c_129706]) ).
tcf(c_139676,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,iPr_def_10),iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_17) ),
inference(superposition,[status(thm)],[c_125693,c_126346]) ).
tcf(c_139685,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_18)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_139676,c_125693]) ).
tcf(c_139686,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_139685,c_103369]) ).
tcf(c_139724,plain,
iPr_def_10 = iPr_def_17,
inference(backward_subsumption_resolution,[status(thm)],[c_129720,c_139686]) ).
tcf(c_139807,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_13,iPr_def_10) = iPr_def_18,
inference(demodulation,[status(thm)],[c_103368,c_139724]) ).
tcf(c_140524,plain,
iPr_def_13 = iPr_def_18,
inference(demodulation,[status(thm)],[c_139807,c_125636]) ).
tcf(c_140525,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_103369,c_140524]) ).
tcf(c_140526,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_140525,c_126193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW179+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 21:41:22 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 62.65/9.41 % SZS status Started for theBenchmark.p
% 62.65/9.41 ERROR - "ProverProcess:heur/397442:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 62.65/9.41 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 62.65/9.41 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 4 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 2 --inst_lit_activity_flag false --inst_lit_sel "[-split]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type priority_queues --inst_passive_queues "[[+conj_symb]]" --inst_passive_queues_freq "[50]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.8199321230744955 --inst_solver_per_active 4 --inst_sos_flag false --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_9trhm2vq/fnarmptm 2>> /export/starexec/sandbox/tmp/iprover_out_9trhm2vq/fnarmptm_error
% 62.65/9.41 % SZS status Theorem for theBenchmark.p
% 62.65/9.41
% 62.65/9.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.65/9.41
% 62.65/9.41 % ------ iProver source info
% 62.65/9.41
% 62.65/9.41 % git: date: 2026-07-19 20:42:38 +0200
% 62.65/9.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.65/9.41 % git: non_committed_changes: false
% 62.65/9.41
% 62.65/9.41 % ------ Parsing...
% 62.65/9.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.65/9.41
% 62.65/9.41 % ------ Preprocessing... sup_sim: 101 sf_s rm: 54 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 96 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 21 0s sf_e pe_s pe_e %
% 62.65/9.41
% 62.65/9.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 62.65/9.41
% 62.65/9.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 62.65/9.41 % ------ Proving...
% 62.65/9.41 % ------ Problem Properties
% 62.65/9.41
% 62.65/9.41 %
% 62.65/9.41 % clauses 1401
% 62.65/9.41 % conjectures 1
% 62.65/9.41 % EPR 222
% 62.65/9.41 % Horn 1215
% 62.65/9.41 % unary 424
% 62.65/9.41 % binary 507
% 62.65/9.41 % lits 3075
% 62.65/9.41 % lits eq 727
% 62.65/9.41 % fd_pure 0
% 62.65/9.41 % fd_pseudo 0
% 62.65/9.41 % fd_cond 89
% 62.65/9.41 % fd_pseudo_cond 78
% 62.65/9.41 % AC symbols 0
% 62.65/9.41
% 62.65/9.41 % ------ Schedule dynamic 5 is on
% 62.65/9.41
% 62.65/9.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 62.65/9.41
% 62.65/9.41
% 62.65/9.41 % ------
% 62.65/9.41 % Current options:
% 62.65/9.41 % ------
% 62.65/9.41
% 62.65/9.41
% 62.65/9.41 %
% 62.65/9.41
% 62.65/9.41 % ------ Proving...
% 62.65/9.41 %
% 62.65/9.41
% 62.65/9.41 % SZS status Theorem for theBenchmark.p
% 62.65/9.41
% 62.65/9.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.65/9.42
% 62.65/9.42
%------------------------------------------------------------------------------