TSTP Solution File: SWW204+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 May 3 03:24:29 EDT 2024
% Result : Theorem 32.30s 5.23s
% Output : CNFRefutation 32.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X5))),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).
fof(f8,axiom,
! [X6,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6),X7))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f35,axiom,
! [X19] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
<=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__0__eq) ).
fof(f59,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__zero) ).
fof(f129,axiom,
! [X12,X3] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X3)),c_RComplete_Onatceiling(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__mono) ).
fof(f130,axiom,
! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).
fof(f134,axiom,
! [X3] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__neg) ).
fof(f206,axiom,
! [X13,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X13))
<=> ( X13 = X14
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(f242,axiom,
! [X3,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X3)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
fof(f923,axiom,
! [X16,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> c_RealVector_Onorm__class_Onorm(X4,X16) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__norm__cancel) ).
fof(f924,axiom,
! [X44] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X44) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X44),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f1126,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1177,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1264,conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1265,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(negated_conjecture,[],[f1264]) ).
fof(f1267,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
inference(rectify,[],[f4]) ).
fof(f1269,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(rectify,[],[f8]) ).
fof(f1295,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
<=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
inference(rectify,[],[f35]) ).
fof(f1386,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0))) ),
inference(rectify,[],[f129]) ).
fof(f1387,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
inference(rectify,[],[f130]) ).
fof(f1391,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0) ),
inference(rectify,[],[f134]) ).
fof(f1461,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
<=> ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) ),
inference(rectify,[],[f206]) ).
fof(f1497,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(rectify,[],[f242]) ).
fof(f2155,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(rectify,[],[f923]) ).
fof(f2156,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(rectify,[],[f924]) ).
fof(f2291,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(flattening,[],[f1265]) ).
fof(f2422,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(ennf_transformation,[],[f1386]) ).
fof(f2426,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(ennf_transformation,[],[f1391]) ).
fof(f2576,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f1497]) ).
fof(f3225,plain,
! [X0,X1] :
( c_RealVector_Onorm__class_Onorm(X1,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f2155]) ).
fof(f3355,plain,
! [X0] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 )
& ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ),
inference(nnf_transformation,[],[f1295]) ).
fof(f3436,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( X0 != X1
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) )
& ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(nnf_transformation,[],[f1461]) ).
fof(f3437,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( X0 != X1
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) )
& ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(flattening,[],[f3436]) ).
fof(f3793,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
inference(cnf_transformation,[],[f1267]) ).
fof(f3797,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f1269]) ).
fof(f3830,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
inference(cnf_transformation,[],[f3355]) ).
fof(f3862,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(cnf_transformation,[],[f59]) ).
fof(f3966,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f2422]) ).
fof(f3967,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
inference(cnf_transformation,[],[f1387]) ).
fof(f3971,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(cnf_transformation,[],[f2426]) ).
fof(f4077,plain,
! [X0,X1] :
( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f3437]) ).
fof(f4144,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f2576]) ).
fof(f5079,plain,
! [X0,X1] :
( c_RealVector_Onorm__class_Onorm(X1,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f3225]) ).
fof(f5080,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f2156]) ).
fof(f5323,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1126]) ).
fof(f5374,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1177]) ).
fof(f5461,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(cnf_transformation,[],[f2291]) ).
cnf(c_52,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
inference(cnf_transformation,[],[f3793]) ).
cnf(c_56,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f3797]) ).
cnf(c_85,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
inference(cnf_transformation,[],[f3830]) ).
cnf(c_111,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f3862]) ).
cnf(c_212,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1))) ),
inference(cnf_transformation,[],[f3966]) ).
cnf(c_213,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
inference(cnf_transformation,[],[f3967]) ).
cnf(c_217,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(cnf_transformation,[],[f3971]) ).
cnf(c_317,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
inference(cnf_transformation,[],[f4077]) ).
cnf(c_381,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(cnf_transformation,[],[f4144]) ).
cnf(c_1297,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
inference(cnf_transformation,[],[f5079]) ).
cnf(c_1298,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f5080]) ).
cnf(c_1539,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5323]) ).
cnf(c_1590,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5374]) ).
cnf(c_1677,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(cnf_transformation,[],[f5461]) ).
cnf(c_2672,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(prop_impl_just,[status(thm)],[c_381]) ).
cnf(c_2673,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(renaming,[status(thm)],[c_2672]) ).
cnf(c_2688,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_1297]) ).
cnf(c_12607,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
inference(demodulation,[status(thm)],[c_2688,c_1298]) ).
cnf(c_26771,plain,
( X0 != tc_RealDef_Oreal
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(resolution_lifted,[status(thm)],[c_2673,c_1539]) ).
cnf(c_26772,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(unflattening,[status(thm)],[c_26771]) ).
cnf(c_26915,plain,
( X0 != tc_Complex_Ocomplex
| c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_12607,c_1590]) ).
cnf(c_26916,plain,
c_RealVector_Onorm__class_Onorm(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_26915]) ).
cnf(c_86446,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = sP0_iProver_def,
definition ).
cnf(c_86447,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_86448,plain,
hAPP(sP1_iProver_def,v_r) = sP2_iProver_def,
definition ).
cnf(c_86449,negated_conjecture,
~ hBOOL(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_1677,c_86446,c_86447,c_86448]) ).
cnf(c_107686,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_111,c_86446]) ).
cnf(c_108245,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_26772,c_86446]) ).
cnf(c_108253,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_26916,c_108245]) ).
cnf(c_108636,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sP0_iProver_def))
| hBOOL(hAPP(sP1_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_86447,c_56]) ).
cnf(c_111967,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sP0_iProver_def))
| c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(light_normalisation,[status(thm)],[c_217,c_86446]) ).
cnf(c_111978,plain,
( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(sP1_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_108636,c_111967]) ).
cnf(c_112080,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(v_r)
| hBOOL(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_86448,c_111978]) ).
cnf(c_112090,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(v_r),
inference(forward_subsumption_resolution,[status(thm)],[c_112080,c_86449]) ).
cnf(c_113142,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),v_r))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
inference(superposition,[status(thm)],[c_112090,c_212]) ).
cnf(c_113570,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),v_r))
| c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(superposition,[status(thm)],[c_113142,c_85]) ).
cnf(c_113615,plain,
c_RComplete_Onatceiling(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(superposition,[status(thm)],[c_52,c_113570]) ).
cnf(c_113941,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
inference(superposition,[status(thm)],[c_113615,c_213]) ).
cnf(c_113942,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_113941,c_107686]) ).
cnf(c_122696,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)) = sP0_iProver_def
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_113942,c_317]) ).
cnf(c_122729,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_122696,c_108253]) ).
cnf(c_122856,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP0_iProver_def),v_r)),
inference(demodulation,[status(thm)],[c_52,c_122729]) ).
cnf(c_122895,plain,
hBOOL(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_122856,c_86447,c_86448]) ).
cnf(c_122896,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_122895,c_86449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 22:28:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.30/5.23 % SZS status Started for theBenchmark.p
% 32.30/5.23 % SZS status Theorem for theBenchmark.p
% 32.30/5.23
% 32.30/5.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.30/5.23
% 32.30/5.23 ------ iProver source info
% 32.30/5.23
% 32.30/5.23 git: date: 2024-05-02 19:28:25 +0000
% 32.30/5.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.30/5.23 git: non_committed_changes: false
% 32.30/5.23
% 32.30/5.23 ------ Parsing...
% 32.30/5.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.30/5.23
% 32.30/5.23 ------ Preprocessing... sup_sim: 125 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 27 sf_s rm: 14 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e
% 32.30/5.23
% 32.30/5.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.30/5.23
% 32.30/5.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.30/5.23 ------ Proving...
% 32.30/5.23 ------ Problem Properties
% 32.30/5.23
% 32.30/5.23
% 32.30/5.23 clauses 1384
% 32.30/5.23 conjectures 1
% 32.30/5.23 EPR 169
% 32.30/5.23 Horn 1182
% 32.30/5.23 unary 462
% 32.30/5.23 binary 451
% 32.30/5.24 lits 3002
% 32.30/5.24 lits eq 686
% 32.30/5.24 fd_pure 0
% 32.30/5.24 fd_pseudo 0
% 32.30/5.24 fd_cond 98
% 32.30/5.24 fd_pseudo_cond 64
% 32.30/5.24 AC symbols 0
% 32.30/5.24
% 32.30/5.24 ------ Schedule dynamic 5 is on
% 32.30/5.24
% 32.30/5.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.30/5.24
% 32.30/5.24
% 32.30/5.24 ------
% 32.30/5.24 Current options:
% 32.30/5.24 ------
% 32.30/5.24
% 32.30/5.24
% 32.30/5.24
% 32.30/5.24
% 32.30/5.24 ------ Proving...
% 32.30/5.24
% 32.30/5.24
% 32.30/5.24 % SZS status Theorem for theBenchmark.p
% 32.30/5.24
% 32.30/5.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.30/5.24
% 32.30/5.24
%------------------------------------------------------------------------------