TSTP Solution File: SWW256+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 00:38:38 EDT 2023
% Result : Theorem 45.13s 7.27s
% Output : CNFRefutation 45.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 43 unt; 0 def)
% Number of atoms : 133 ( 86 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 100 ( 48 ~; 36 |; 1 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 98 ( 9 sgn; 58 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
! [X3,X4,X5] :
( class_Rings_Oring__1__no__zero__divisors(X5)
=> ( c_Groups_Ozero__class_Ozero(X5) != X4
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X3) != c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_field__power__not__zero) ).
fof(f74,axiom,
! [X21,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> c_Groups_Ozero__class_Ozero(X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Ozero) ).
fof(f211,axiom,
! [X3] : c_Nat_OSuc(X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(f301,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(f309,axiom,
! [X10] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(f699,axiom,
! [X15,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X5,X15)
<=> c_Groups_Ozero__class_Ozero(X5) = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__eq__zero) ).
fof(f704,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra__1(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Oone__class_Oone(X5)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__one) ).
fof(f742,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__zero__not__eq__one) ).
fof(f1184,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
fof(f1185,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1187,axiom,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors) ).
fof(f1188,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1197,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1284,conjecture,
? [X2,X80] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X80),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X80),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1285,negated_conjecture,
~ ? [X2,X80] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X80),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X80),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(negated_conjecture,[],[f1284]) ).
fof(f1325,plain,
! [X0,X1,X2] :
( class_Rings_Oring__1__no__zero__divisors(X2)
=> ( c_Groups_Ozero__class_Ozero(X2) != X1
=> hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2) ) ),
inference(rectify,[],[f43]) ).
fof(f1356,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__algebra(X1)
=> c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X0) ),
inference(rectify,[],[f74]) ).
fof(f1493,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(rectify,[],[f211]) ).
fof(f1583,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
inference(rectify,[],[f301]) ).
fof(f1591,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
inference(rectify,[],[f309]) ).
fof(f1966,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0)
<=> c_Groups_Ozero__class_Ozero(X1) = X0 ) ),
inference(rectify,[],[f699]) ).
fof(f1971,plain,
! [X0] :
( class_RealVector_Oreal__normed__algebra__1(X0)
=> c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) ),
inference(rectify,[],[f704]) ).
fof(f2319,plain,
~ ? [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(rectify,[],[f1285]) ).
fof(f2346,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(ennf_transformation,[],[f1325]) ).
fof(f2347,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(flattening,[],[f2346]) ).
fof(f2373,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X0)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
inference(ennf_transformation,[],[f1356]) ).
fof(f2639,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f1583]) ).
fof(f3078,plain,
! [X0,X1] :
( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0)
<=> c_Groups_Ozero__class_Ozero(X1) = X0 )
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f1966]) ).
fof(f3082,plain,
! [X0] :
( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0))
| ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
inference(ennf_transformation,[],[f1971]) ).
fof(f3477,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(ennf_transformation,[],[f2319]) ).
fof(f3746,plain,
! [X0,X1] :
( ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0)
| c_Groups_Ozero__class_Ozero(X1) != X0 )
& ( c_Groups_Ozero__class_Ozero(X1) = X0
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(X1,X0) ) )
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(nnf_transformation,[],[f3078]) ).
fof(f3924,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(cnf_transformation,[],[f2347]) ).
fof(f3961,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X0)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
inference(cnf_transformation,[],[f2373]) ).
fof(f4142,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(cnf_transformation,[],[f1493]) ).
fof(f4274,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f2639]) ).
fof(f4285,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
inference(cnf_transformation,[],[f1591]) ).
fof(f4854,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0)
| c_Groups_Ozero__class_Ozero(X1) != X0
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f3746]) ).
fof(f4860,plain,
! [X0] :
( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0))
| ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
inference(cnf_transformation,[],[f3082]) ).
fof(f4925,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f742]) ).
fof(f5451,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1184]) ).
fof(f5452,plain,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1185]) ).
fof(f5454,plain,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1187]) ).
fof(f5455,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1188]) ).
fof(f5464,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1197]) ).
fof(f5551,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(cnf_transformation,[],[f3477]) ).
fof(f5699,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(definition_unfolding,[],[f5551,f4142,f4142]) ).
fof(f5845,plain,
! [X1] :
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(equality_resolution,[],[f4854]) ).
cnf(c_101,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
| ~ class_Rings_Oring__1__no__zero__divisors(X0)
| c_Groups_Ozero__class_Ozero(X0) = X1 ),
inference(cnf_transformation,[],[f3924]) ).
cnf(c_136,plain,
( ~ class_RealVector_Oreal__normed__algebra(X0)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
inference(cnf_transformation,[],[f3961]) ).
cnf(c_437,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
inference(cnf_transformation,[],[f4274]) ).
cnf(c_448,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
inference(cnf_transformation,[],[f4285]) ).
cnf(c_999,plain,
( ~ 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(cnf_transformation,[],[f5845]) ).
cnf(c_1006,plain,
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f4860]) ).
cnf(c_1068,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4925]) ).
cnf(c_1586,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5451]) ).
cnf(c_1587,plain,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5452]) ).
cnf(c_1589,plain,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5454]) ).
cnf(c_1590,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5455]) ).
cnf(c_1599,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5464]) ).
cnf(c_1686,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(cnf_transformation,[],[f5699]) ).
cnf(c_2750,plain,
( ~ class_RealVector_Oreal__normed__algebra(X0)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_3424,plain,
( ~ 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(prop_impl_just,[status(thm)],[c_999]) ).
cnf(c_3446,plain,
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_1006]) ).
cnf(c_17625,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(demodulation,[status(thm)],[c_1686,c_448]) ).
cnf(c_18087,plain,
( X0 != tc_Complex_Ocomplex
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(resolution_lifted,[status(thm)],[c_3446,c_1586]) ).
cnf(c_18088,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_18087]) ).
cnf(c_19952,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
| X0 != tc_Complex_Ocomplex
| c_Groups_Ozero__class_Ozero(X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_101,c_1589]) ).
cnf(c_19953,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(unflattening,[status(thm)],[c_19952]) ).
cnf(c_20213,plain,
( X0 != tc_Complex_Ocomplex
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
inference(resolution_lifted,[status(thm)],[c_2750,c_1587]) ).
cnf(c_20214,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_20213]) ).
cnf(c_22491,plain,
( X0 != tc_Complex_Ocomplex
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(resolution_lifted,[status(thm)],[c_3424,c_1590]) ).
cnf(c_22492,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_22491]) ).
cnf(c_66810,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(prop_impl_just,[status(thm)],[c_19953]) ).
cnf(c_66811,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(renaming,[status(thm)],[c_66810]) ).
cnf(c_115505,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_20214,c_17625]) ).
cnf(c_117688,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X0) = X0,
inference(superposition,[status(thm)],[c_1599,c_437]) ).
cnf(c_117874,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_117688,c_115505]) ).
cnf(c_117906,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_117874,c_66811]) ).
cnf(c_117920,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_18088,c_117906]) ).
cnf(c_117924,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(light_normalisation,[status(thm)],[c_117920,c_22492]) ).
cnf(c_117925,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_117924,c_1068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.38 % Computer : n026.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Aug 27 17:59:04 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 45.13/7.27 % SZS status Started for theBenchmark.p
% 45.13/7.27 % SZS status Theorem for theBenchmark.p
% 45.13/7.27
% 45.13/7.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 45.13/7.27
% 45.13/7.27 ------ iProver source info
% 45.13/7.27
% 45.13/7.27 git: date: 2023-05-31 18:12:56 +0000
% 45.13/7.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 45.13/7.27 git: non_committed_changes: false
% 45.13/7.27 git: last_make_outside_of_git: false
% 45.13/7.27
% 45.13/7.27 ------ Parsing...
% 45.13/7.27 ------ Clausification by vclausify_rel & Parsing by iProver...
% 45.13/7.27
% 45.13/7.27 ------ Preprocessing... sup_sim: 94 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 32 sf_s rm: 18 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 19 0s sf_e pe_s pe_e
% 45.13/7.27
% 45.13/7.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 45.13/7.27
% 45.13/7.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 45.13/7.27 ------ Proving...
% 45.13/7.27 ------ Problem Properties
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27 clauses 1339
% 45.13/7.27 conjectures 0
% 45.13/7.27 EPR 228
% 45.13/7.27 Horn 1143
% 45.13/7.27 unary 403
% 45.13/7.27 binary 446
% 45.13/7.27 lits 3001
% 45.13/7.27 lits eq 768
% 45.13/7.27 fd_pure 0
% 45.13/7.27 fd_pseudo 0
% 45.13/7.27 fd_cond 81
% 45.13/7.27 fd_pseudo_cond 95
% 45.13/7.27 AC symbols 0
% 45.13/7.27
% 45.13/7.27 ------ Schedule dynamic 5 is on
% 45.13/7.27
% 45.13/7.27 ------ no conjectures: strip conj schedule
% 45.13/7.27
% 45.13/7.27 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27 ------
% 45.13/7.27 Current options:
% 45.13/7.27 ------
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27 ------ Proving...
% 45.13/7.27
% 45.13/7.27
% 45.13/7.27 % SZS status Theorem for theBenchmark.p
% 45.13/7.27
% 45.13/7.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 45.13/7.27
% 45.13/7.29
%------------------------------------------------------------------------------