TSTP Solution File: SWW284+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 01:00:44 EDT 2023
% Result : Theorem 6.84s 1.48s
% Output : Refutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 81 ( 36 unt; 0 def)
% Number of atoms : 154 ( 89 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 125 ( 52 ~; 38 |; 5 &)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 105 (; 103 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44555,plain,
$false,
inference(subsumption_resolution,[],[f44554,f3974]) ).
fof(f3974,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(cnf_transformation,[],[f1184]) ).
fof(f1184,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(rectify,[],[f1180]) ).
fof(f1180,axiom,
! [X2] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X2),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',conj_0) ).
fof(f44554,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK99(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))),
inference(forward_demodulation,[],[f44153,f16503]) ).
fof(f16503,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),
inference(forward_demodulation,[],[f16470,f4106]) ).
fof(f4106,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_pe) ).
fof(f16470,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0),
inference(unit_resulting_resolution,[],[f4099,f4466]) ).
fof(f4466,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(cnf_transformation,[],[f2478]) ).
fof(f2478,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f1488]) ).
fof(f1488,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> hAPP(c_Polynomial_Opoly(X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X3) = c_Groups_Ozero__class_Ozero(X4) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_poly__0) ).
fof(f4099,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1102]) ).
fof(f1102,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f44153,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK99(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK99(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))),
inference(unit_resulting_resolution,[],[f42908,f4575]) ).
fof(f4575,plain,
! [X0,X1] :
( hAPP(X1,sK99(X0,X1)) != hAPP(X0,sK99(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f3588]) ).
fof(f3588,plain,
! [X0,X1] :
( X0 = X1
| hAPP(X1,sK99(X0,X1)) != hAPP(X0,sK99(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK99])],[f2606,f3587]) ).
fof(f3587,plain,
! [X0,X1] :
( ? [X2] : hAPP(X1,X2) != hAPP(X0,X2)
=> hAPP(X1,sK99(X0,X1)) != hAPP(X0,sK99(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f2606,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] : hAPP(X1,X2) != hAPP(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] : hAPP(X1,X2) = hAPP(X0,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_ext) ).
fof(f42908,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),
inference(forward_demodulation,[],[f42898,f7282]) ).
fof(f7282,plain,
v_p = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p),
inference(forward_demodulation,[],[f7271,f4106]) ).
fof(f7271,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(unit_resulting_resolution,[],[f5990,f4205]) ).
fof(f4205,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_Groups_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f2304]) ).
fof(f2304,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_Groups_Ogroup__add(X0) ),
inference(ennf_transformation,[],[f1275]) ).
fof(f1275,plain,
! [X0] :
( class_Groups_Ogroup__add(X0)
=> c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(rectify,[],[f196]) ).
fof(f196,axiom,
! [X4] :
( class_Groups_Ogroup__add(X4)
=> c_Groups_Ozero__class_Ozero(X4) = c_Groups_Ouminus__class_Ouminus(X4,c_Groups_Ozero__class_Ozero(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_minus__zero) ).
fof(f5990,plain,
class_Groups_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unit_resulting_resolution,[],[f4029,f4201]) ).
fof(f4201,plain,
! [X0] :
( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
| ~ class_Groups_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f2300]) ).
fof(f2300,plain,
! [X0] :
( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
| ~ class_Groups_Oab__group__add(X0) ),
inference(ennf_transformation,[],[f1271]) ).
fof(f1271,plain,
! [X0] :
( class_Groups_Oab__group__add(X0)
=> class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1162]) ).
fof(f1162,axiom,
! [X89] :
( class_Groups_Oab__group__add(X89)
=> class_Groups_Ogroup__add(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Polynomial__Opoly__Groups_Ogroup__add) ).
fof(f4029,plain,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1106]) ).
fof(f1106,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Complex__Ocomplex__Groups_Oab__group__add) ).
fof(f42898,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) != c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p)),
inference(unit_resulting_resolution,[],[f4000,f4030,f21626,f5101]) ).
fof(f5101,plain,
! [X2,X0,X1] :
( c_Polynomial_Opoly(X2,X1) != c_Polynomial_Opoly(X2,X0)
| X0 = X1
| ~ class_Rings_Oidom(X2)
| ~ class_Int_Oring__char__0(X2) ),
inference(cnf_transformation,[],[f3782]) ).
fof(f3782,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
| X0 != X1 )
& ( X0 = X1
| c_Polynomial_Opoly(X2,X1) != c_Polynomial_Opoly(X2,X0) ) )
| ~ class_Rings_Oidom(X2)
| ~ class_Int_Oring__char__0(X2) ),
inference(nnf_transformation,[],[f2956]) ).
fof(f2956,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X0 = X1 )
| ~ class_Rings_Oidom(X2)
| ~ class_Int_Oring__char__0(X2) ),
inference(flattening,[],[f2955]) ).
fof(f2955,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X0 = X1 )
| ~ class_Rings_Oidom(X2)
| ~ class_Int_Oring__char__0(X2) ),
inference(ennf_transformation,[],[f1912]) ).
fof(f1912,plain,
! [X0,X1,X2] :
( ( class_Rings_Oidom(X2)
& class_Int_Oring__char__0(X2) )
=> ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X0 = X1 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X6,X5,X4] :
( ( class_Rings_Oidom(X4)
& class_Int_Oring__char__0(X4) )
=> ( c_Polynomial_Opoly(X4,X5) = c_Polynomial_Opoly(X4,X6)
<=> X5 = X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_poly__eq__iff) ).
fof(f21626,plain,
v_q != c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p),
inference(forward_demodulation,[],[f21625,f7441]) ).
fof(f7441,plain,
! [X0] : c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0)) = X0,
inference(unit_resulting_resolution,[],[f5990,f4412]) ).
fof(f4412,plain,
! [X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0
| ~ class_Groups_Ogroup__add(X1) ),
inference(cnf_transformation,[],[f2429]) ).
fof(f2429,plain,
! [X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0
| ~ class_Groups_Ogroup__add(X1) ),
inference(ennf_transformation,[],[f1441]) ).
fof(f1441,plain,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0 ),
inference(rectify,[],[f190]) ).
fof(f190,axiom,
! [X18,X4] :
( class_Groups_Ogroup__add(X4)
=> c_Groups_Ouminus__class_Ouminus(X4,c_Groups_Ouminus__class_Ouminus(X4,X18)) = X18 ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_minus__minus) ).
fof(f21625,plain,
c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p) != c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q)),
inference(forward_demodulation,[],[f21415,f10718]) ).
fof(f10718,plain,
! [X0] : c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0),
inference(forward_demodulation,[],[f10681,f4106]) ).
fof(f10681,plain,
! [X0] : c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),
inference(unit_resulting_resolution,[],[f5990,f4416]) ).
fof(f4416,plain,
! [X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X1,X0) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Ogroup__add(X1) ),
inference(cnf_transformation,[],[f2433]) ).
fof(f2433,plain,
! [X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X1,X0) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Ogroup__add(X1) ),
inference(ennf_transformation,[],[f1445]) ).
fof(f1445,plain,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ouminus__class_Ouminus(X1,X0) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
inference(rectify,[],[f544]) ).
fof(f544,axiom,
! [X18,X4] :
( class_Groups_Ogroup__add(X4)
=> c_Groups_Ouminus__class_Ouminus(X4,X18) = c_Groups_Ominus__class_Ominus(X4,c_Groups_Ozero__class_Ozero(X4),X18) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_diff__0) ).
fof(f21415,plain,
c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p) != c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,v_q)),
inference(unit_resulting_resolution,[],[f5990,f18820,f4962]) ).
fof(f4962,plain,
! [X2,X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X2,X1) != c_Groups_Ouminus__class_Ouminus(X2,X0)
| X0 = X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(cnf_transformation,[],[f3754]) ).
fof(f3754,plain,
! [X0,X1,X2] :
( ( ( c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ouminus__class_Ouminus(X2,X0)
| X0 != X1 )
& ( X0 = X1
| c_Groups_Ouminus__class_Ouminus(X2,X1) != c_Groups_Ouminus__class_Ouminus(X2,X0) ) )
| ~ class_Groups_Ogroup__add(X2) ),
inference(nnf_transformation,[],[f2800]) ).
fof(f2800,plain,
! [X0,X1,X2] :
( ( c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ouminus__class_Ouminus(X2,X0)
<=> X0 = X1 )
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f1804]) ).
fof(f1804,plain,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> ( c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ouminus__class_Ouminus(X2,X0)
<=> X0 = X1 ) ),
inference(rectify,[],[f185]) ).
fof(f185,axiom,
! [X16,X7,X4] :
( class_Groups_Ogroup__add(X4)
=> ( c_Groups_Ouminus__class_Ouminus(X4,X7) = c_Groups_Ouminus__class_Ouminus(X4,X16)
<=> X7 = X16 ) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_neg__equal__iff__equal) ).
fof(f18820,plain,
v_p != c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,v_q),
inference(forward_demodulation,[],[f18694,f4106]) ).
fof(f18694,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),
inference(unit_resulting_resolution,[],[f5986,f3973,f4915]) ).
fof(f4915,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0)
| X0 = X1
| ~ class_Groups_Oab__group__add(X2) ),
inference(cnf_transformation,[],[f3726]) ).
fof(f3726,plain,
! [X0,X1,X2] :
( ( ( X0 = X1
| c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0) )
& ( c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0)
| X0 != X1 ) )
| ~ class_Groups_Oab__group__add(X2) ),
inference(nnf_transformation,[],[f2779]) ).
fof(f2779,plain,
! [X0,X1,X2] :
( ( X0 = X1
<=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) )
| ~ class_Groups_Oab__group__add(X2) ),
inference(ennf_transformation,[],[f1784]) ).
fof(f1784,plain,
! [X0,X1,X2] :
( class_Groups_Oab__group__add(X2)
=> ( X0 = X1
<=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) ) ),
inference(rectify,[],[f517]) ).
fof(f517,axiom,
! [X16,X7,X4] :
( class_Groups_Oab__group__add(X4)
=> ( X7 = X16
<=> c_Groups_Ozero__class_Ozero(X4) = c_Groups_Ominus__class_Ominus(X4,X7,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',fact_eq__iff__diff__eq__0) ).
fof(f3973,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f1183]) ).
fof(f1183,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(flattening,[],[f1182]) ).
fof(f1182,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(negated_conjecture,[],[f1181]) ).
fof(f1181,conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q,
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',conj_1) ).
fof(f5986,plain,
class_Groups_Oab__group__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unit_resulting_resolution,[],[f4029,f4200]) ).
fof(f4200,plain,
! [X0] :
( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
| ~ class_Groups_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f2299]) ).
fof(f2299,plain,
! [X0] :
( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
| ~ class_Groups_Oab__group__add(X0) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f1270,plain,
! [X0] :
( class_Groups_Oab__group__add(X0)
=> class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1155]) ).
fof(f1155,axiom,
! [X89] :
( class_Groups_Oab__group__add(X89)
=> class_Groups_Oab__group__add(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Polynomial__Opoly__Groups_Oab__group__add) ).
fof(f4030,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1122]) ).
fof(f1122,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f4000,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1115]) ).
fof(f1115,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053',arity_Complex__Ocomplex__Int_Oring__char__0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.25 % Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.26 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.26/0.48 % Computer : n002.cluster.edu
% 0.26/0.48 % Model : x86_64 x86_64
% 0.26/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.48 % Memory : 8042.1875MB
% 0.26/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.48 % CPULimit : 300
% 0.26/0.48 % WCLimit : 300
% 0.26/0.48 % DateTime : Sun Aug 27 18:22:04 EDT 2023
% 0.26/0.48 % CPUTime :
% 0.26/0.48 This is a FOF_THM_RFO_SEQ problem
% 0.26/0.48 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.DpOYSYN6UZ/Vampire---4.8_11053
% 0.26/0.48 % (11162)Running in auto input_syntax mode. Trying TPTP
% 0.34/0.59 % (11171)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.34/0.60 % (11170)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.34/0.60 % (11165)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.34/0.60 % (11164)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.34/0.60 % (11169)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.34/0.60 % (11167)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.34/0.61 % (11163)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 6.18/1.47 % (11163)First to succeed.
% 6.84/1.48 % (11163)Refutation found. Thanks to Tanya!
% 6.84/1.48 % SZS status Theorem for Vampire---4
% 6.84/1.48 % SZS output start Proof for Vampire---4
% See solution above
% 6.84/1.48 % (11163)------------------------------
% 6.84/1.48 % (11163)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.84/1.48 % (11163)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.84/1.48 % (11163)Termination reason: Refutation
% 6.84/1.48
% 6.84/1.48 % (11163)Memory used [KB]: 33005
% 6.84/1.48 % (11163)Time elapsed: 0.872 s
% 6.84/1.48 % (11163)------------------------------
% 6.84/1.48 % (11163)------------------------------
% 6.84/1.48 % (11162)Success in time 0.996 s
% 6.84/1.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------