TSTP Solution File: SWW178+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW178+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:38:24 EDT 2023
% Result : Theorem 264.34s 35.81s
% Output : CNFRefutation 264.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 122 ( 46 unt; 0 def)
% Number of atoms : 270 ( 68 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 254 ( 106 ~; 103 |; 15 &)
% ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 235 ( 0 sgn; 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X11,X12,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,c_Groups_Oplus__class_Oplus(X5,X12,X11),X11) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__diff__cancel) ).
fof(f38,axiom,
! [X11,X12,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X12,X11)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X12),c_RealVector_Onorm__class_Onorm(X5,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq4) ).
fof(f42,axiom,
! [X6,X4,X3,X5] :
( class_Orderings_Oorder(X5)
=> ( c_Orderings_Oord__class_Oless__eq(X5,X3,X4)
=> ( c_Orderings_Oord__class_Oless__eq(X5,X6,X3)
=> c_Orderings_Oord__class_Oless__eq(X5,X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I6_J) ).
fof(f53,axiom,
! [X18,X16,X5] :
( class_Orderings_Oorder(X5)
=> ( X16 = X18
<=> ( c_Orderings_Oord__class_Oless__eq(X5,X18,X16)
& c_Orderings_Oord__class_Oless__eq(X5,X16,X18) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__eq__iff) ).
fof(f102,axiom,
! [X10,X12,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Groups_Oplus__class_Oplus(X5,X12,X10) = c_Groups_Oplus__class_Oplus(X5,X10,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f161,axiom,
! [X3,X4,X5] :
( class_RealVector_Ometric__space(X5)
=> c_RealVector_Odist__class_Odist(X5,X4,X3) = c_RealVector_Odist__class_Odist(X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dist__commute) ).
fof(f170,axiom,
! [X18,X16,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X16,X18)
<=> ( X16 = X18
| c_Orderings_Oord__class_Oless(X5,X18,X16) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__iff__gr__or__eq) ).
fof(f222,axiom,
! [X4,X3,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X3,X4)
=> c_Orderings_Oord__class_Oless(X5,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__leE) ).
fof(f243,axiom,
! [X18,X16] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X18)
<=> ( X16 = X18
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(f334,axiom,
! [X3,X4] : c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X4,X3) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X4,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dist__complex__def) ).
fof(f1137,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1144,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1151,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1169,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1174,axiom,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Ometric__space) ).
fof(f1180,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1189,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
fof(f1200,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1201,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(negated_conjecture,[],[f1200]) ).
fof(f1227,plain,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
inference(rectify,[],[f28]) ).
fof(f1237,plain,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))) ),
inference(rectify,[],[f38]) ).
fof(f1241,plain,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
=> c_Orderings_Oord__class_Oless__eq(X3,X0,X1) ) ) ),
inference(rectify,[],[f42]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( class_Orderings_Oorder(X2)
=> ( X0 = X1
<=> ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ) ),
inference(rectify,[],[f53]) ).
fof(f1301,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(rectify,[],[f102]) ).
fof(f1358,plain,
! [X0,X1,X2] :
( class_RealVector_Ometric__space(X2)
=> c_RealVector_Odist__class_Odist(X2,X1,X0) = c_RealVector_Odist__class_Odist(X2,X0,X1) ),
inference(rectify,[],[f161]) ).
fof(f1367,plain,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
inference(rectify,[],[f170]) ).
fof(f1419,plain,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
=> c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
inference(rectify,[],[f222]) ).
fof(f1440,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f243]) ).
fof(f1530,plain,
! [X0,X1] : c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X1,X0) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),
inference(rectify,[],[f334]) ).
fof(f2176,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(flattening,[],[f1201]) ).
fof(f2227,plain,
! [X0,X1,X2] :
( c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f1227]) ).
fof(f2237,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f1237]) ).
fof(f2243,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f1241]) ).
fof(f2244,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f2243]) ).
fof(f2265,plain,
! [X0,X1,X2] :
( ( X0 = X1
<=> ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
| ~ class_Orderings_Oorder(X2) ),
inference(ennf_transformation,[],[f1252]) ).
fof(f2314,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f1301]) ).
fof(f2384,plain,
! [X0,X1,X2] :
( c_RealVector_Odist__class_Odist(X2,X1,X0) = c_RealVector_Odist__class_Odist(X2,X0,X1)
| ~ class_RealVector_Ometric__space(X2) ),
inference(ennf_transformation,[],[f1358]) ).
fof(f2393,plain,
! [X0,X1,X2] :
( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f1367]) ).
fof(f2464,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f1419]) ).
fof(f2465,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(flattening,[],[f2464]) ).
fof(f3151,plain,
! [X0,X1,X2] :
( ( ( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| X0 != X1 ) )
| ~ class_Orderings_Oorder(X2) ),
inference(nnf_transformation,[],[f2265]) ).
fof(f3152,plain,
! [X0,X1,X2] :
( ( ( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| X0 != X1 ) )
| ~ class_Orderings_Oorder(X2) ),
inference(flattening,[],[f3151]) ).
fof(f3182,plain,
! [X0,X1,X2] :
( ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Olinorder(X2) ),
inference(nnf_transformation,[],[f2393]) ).
fof(f3183,plain,
! [X0,X1,X2] :
( ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Olinorder(X2) ),
inference(flattening,[],[f3182]) ).
fof(f3212,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1440]) ).
fof(f3213,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3212]) ).
fof(f3612,plain,
! [X2,X0,X1] :
( c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(cnf_transformation,[],[f2227]) ).
fof(f3622,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(cnf_transformation,[],[f2237]) ).
fof(f3626,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(cnf_transformation,[],[f2244]) ).
fof(f3640,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Oorder(X2) ),
inference(cnf_transformation,[],[f3152]) ).
fof(f3698,plain,
! [X2,X0,X1] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f2314]) ).
fof(f3764,plain,
! [X2,X0,X1] :
( c_RealVector_Odist__class_Odist(X2,X1,X0) = c_RealVector_Odist__class_Odist(X2,X0,X1)
| ~ class_RealVector_Ometric__space(X2) ),
inference(cnf_transformation,[],[f2384]) ).
fof(f3777,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f3183]) ).
fof(f3847,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f2465]) ).
fof(f3884,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f3213]) ).
fof(f4012,plain,
! [X0,X1] : c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X1,X0) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),
inference(cnf_transformation,[],[f1530]) ).
fof(f5085,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1137]) ).
fof(f5092,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f5099,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1151]) ).
fof(f5117,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1169]) ).
fof(f5122,plain,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1174]) ).
fof(f5128,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1180]) ).
fof(f5137,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1189]) ).
fof(f5148,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(cnf_transformation,[],[f2176]) ).
fof(f5322,plain,
! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f3884]) ).
cnf(c_85,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
inference(cnf_transformation,[],[f3612]) ).
cnf(c_95,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
inference(cnf_transformation,[],[f3622]) ).
cnf(c_99,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
| ~ class_Orderings_Oorder(X0)
| c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
inference(cnf_transformation,[],[f3626]) ).
cnf(c_106,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
| ~ class_Orderings_Oorder(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f3640]) ).
cnf(c_163,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(cnf_transformation,[],[f3698]) ).
cnf(c_220,plain,
( ~ class_RealVector_Ometric__space(X0)
| c_RealVector_Odist__class_Odist(X0,X1,X2) = c_RealVector_Odist__class_Odist(X0,X2,X1) ),
inference(cnf_transformation,[],[f3764]) ).
cnf(c_231,plain,
( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f3777]) ).
cnf(c_301,plain,
( ~ class_Orderings_Olinorder(X0)
| c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| c_Orderings_Oord__class_Oless(X0,X2,X1) ),
inference(cnf_transformation,[],[f3847]) ).
cnf(c_336,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f5322]) ).
cnf(c_465,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)) = c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X0,X1),
inference(cnf_transformation,[],[f4012]) ).
cnf(c_1517,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5085]) ).
cnf(c_1524,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5092]) ).
cnf(c_1531,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5099]) ).
cnf(c_1549,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5117]) ).
cnf(c_1554,plain,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5122]) ).
cnf(c_1560,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5128]) ).
cnf(c_1569,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5137]) ).
cnf(c_1580,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(cnf_transformation,[],[f5148]) ).
cnf(c_2451,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
inference(prop_impl_just,[status(thm)],[c_95]) ).
cnf(c_2549,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_2621,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(prop_impl_just,[status(thm)],[c_163]) ).
cnf(c_2755,plain,
( ~ class_RealVector_Ometric__space(X0)
| c_RealVector_Odist__class_Odist(X0,X1,X2) = c_RealVector_Odist__class_Odist(X0,X2,X1) ),
inference(prop_impl_just,[status(thm)],[c_220]) ).
cnf(c_13107,plain,
( X0 != tc_Complex_Ocomplex
| c_RealVector_Odist__class_Odist(X0,X1,X2) = c_RealVector_Odist__class_Odist(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_2755,c_1554]) ).
cnf(c_13108,plain,
c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X0,X1) = c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X1,X0),
inference(unflattening,[status(thm)],[c_13107]) ).
cnf(c_14474,plain,
( X0 != tc_RealDef_Oreal
| c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| c_Orderings_Oord__class_Oless(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_301,c_1524]) ).
cnf(c_14475,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(unflattening,[status(thm)],[c_14474]) ).
cnf(c_14492,plain,
( X0 != tc_RealDef_Oreal
| ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_231,c_1524]) ).
cnf(c_14493,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(unflattening,[status(thm)],[c_14492]) ).
cnf(c_16157,plain,
( X0 != tc_Complex_Ocomplex
| c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
inference(resolution_lifted,[status(thm)],[c_2549,c_1569]) ).
cnf(c_16158,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1),X1) = X0,
inference(unflattening,[status(thm)],[c_16157]) ).
cnf(c_18274,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_2621,c_1517]) ).
cnf(c_18275,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),
inference(unflattening,[status(thm)],[c_18274]) ).
cnf(c_18374,plain,
( X0 != tc_Complex_Ocomplex
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_2621,c_1560]) ).
cnf(c_18375,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X0),
inference(unflattening,[status(thm)],[c_18374]) ).
cnf(c_19766,plain,
( X0 != tc_Complex_Ocomplex
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
inference(resolution_lifted,[status(thm)],[c_2451,c_1549]) ).
cnf(c_19767,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
inference(unflattening,[status(thm)],[c_19766]) ).
cnf(c_33828,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
inference(light_normalisation,[status(thm)],[c_19767,c_465]) ).
cnf(c_33875,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w)))),
inference(demodulation,[status(thm)],[c_1580,c_18275,c_18375]) ).
cnf(c_49183,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_14475]) ).
cnf(c_49184,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(renaming,[status(thm)],[c_49183]) ).
cnf(c_49433,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_14493]) ).
cnf(c_49434,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(renaming,[status(thm)],[c_49433]) ).
cnf(c_147335,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_18375,c_16158]) ).
cnf(c_148593,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(superposition,[status(thm)],[c_49184,c_49434]) ).
cnf(c_148892,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(superposition,[status(thm)],[c_49184,c_148593]) ).
cnf(c_148938,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w)),
inference(superposition,[status(thm)],[c_148892,c_33875]) ).
cnf(c_150229,plain,
c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1),X0) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
inference(superposition,[status(thm)],[c_147335,c_465]) ).
cnf(c_150233,plain,
c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X0,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
inference(demodulation,[status(thm)],[c_150229,c_13108]) ).
cnf(c_163156,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),X0)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))),X0) ),
inference(superposition,[status(thm)],[c_148938,c_99]) ).
cnf(c_163924,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163156,c_1531]) ).
cnf(c_166144,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),X0)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))) = X0 ),
inference(superposition,[status(thm)],[c_163924,c_106]) ).
cnf(c_166157,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),X0)
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_166144,c_1531]) ).
cnf(c_187163,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,v_z,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w)))
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))) = c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,v_z,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w)) ),
inference(superposition,[status(thm)],[c_33828,c_166157]) ).
cnf(c_187206,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w))
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w) ),
inference(demodulation,[status(thm)],[c_187163,c_150233]) ).
cnf(c_187207,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),
inference(forward_subsumption_resolution,[status(thm)],[c_187206,c_336]) ).
cnf(c_187354,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w)),
inference(demodulation,[status(thm)],[c_33875,c_187207]) ).
cnf(c_187355,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_187354,c_336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW178+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 18:24:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 264.34/35.81 % SZS status Started for theBenchmark.p
% 264.34/35.81 % SZS status Theorem for theBenchmark.p
% 264.34/35.81
% 264.34/35.81 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 264.34/35.81
% 264.34/35.81 ------ iProver source info
% 264.34/35.81
% 264.34/35.81 git: date: 2023-05-31 18:12:56 +0000
% 264.34/35.81 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 264.34/35.81 git: non_committed_changes: false
% 264.34/35.81 git: last_make_outside_of_git: false
% 264.34/35.81
% 264.34/35.81 ------ Parsing...
% 264.34/35.81 ------ Clausification by vclausify_rel & Parsing by iProver...
% 264.34/35.81
% 264.34/35.81 ------ Preprocessing... sup_sim: 155 sf_s rm: 28 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 362 sf_s rm: 56 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe_e
% 264.34/35.81
% 264.34/35.81 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 264.34/35.81
% 264.34/35.81 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 264.34/35.81 ------ Proving...
% 264.34/35.81 ------ Problem Properties
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81 clauses 1306
% 264.34/35.81 conjectures 0
% 264.34/35.81 EPR 78
% 264.34/35.81 Horn 1139
% 264.34/35.81 unary 516
% 264.34/35.81 binary 420
% 264.34/35.81 lits 2581
% 264.34/35.81 lits eq 689
% 264.34/35.81 fd_pure 0
% 264.34/35.81 fd_pseudo 0
% 264.34/35.81 fd_cond 87
% 264.34/35.81 fd_pseudo_cond 68
% 264.34/35.81 AC symbols 0
% 264.34/35.81
% 264.34/35.81 ------ Input Options Time Limit: Unbounded
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81 ------
% 264.34/35.81 Current options:
% 264.34/35.81 ------
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81 ------ Proving...
% 264.34/35.81
% 264.34/35.81
% 264.34/35.81 % SZS status Theorem for theBenchmark.p
% 264.34/35.81
% 264.34/35.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 264.34/35.81
% 264.34/35.82
%------------------------------------------------------------------------------