TSTP Solution File: SWW213+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW213+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 : 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 Sep 1 01:00:23 EDT 2023
% Result : Theorem 0.32s 0.62s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 58 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 18 |; 0 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 51 (; 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7006,plain,
$false,
inference(subsumption_resolution,[],[f6976,f4384]) ).
fof(f4384,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1181]) ).
fof(f1181,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f6976,plain,
~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(resolution,[],[f6974,f6724]) ).
fof(f6724,plain,
! [X2,X0,X1] :
( sQ138_eqProxy(c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(equality_proxy_replacement,[],[f5439,f6238]) ).
fof(f6238,plain,
! [X0,X1] :
( sQ138_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ138_eqProxy])]) ).
fof(f5439,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f2981]) ).
fof(f2981,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f1943]) ).
fof(f1943,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7,X5,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> c_Polynomial_Odegree(X6,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X6,X5,X7)) = c_Polynomial_Odegree(X6,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797',fact_degree__offset__poly) ).
fof(f6974,plain,
~ sQ138_eqProxy(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))),
inference(subsumption_resolution,[],[f6943,f4384]) ).
fof(f6943,plain,
( ~ sQ138_eqProxy(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(resolution,[],[f6942,f6867]) ).
fof(f6867,plain,
! [X2,X3,X0,X1] :
( sQ138_eqProxy(hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0),hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(equality_proxy_replacement,[],[f5851,f6238]) ).
fof(f5851,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f3341]) ).
fof(f3341,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f2193]) ).
fof(f2193,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X7,X5,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> hAPP(c_Polynomial_Opoly(X6,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X6,X5,X7)),X3) = hAPP(c_Polynomial_Opoly(X6,X5),c_Groups_Oplus__class_Oplus(X6,X7,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797',fact_poly__offset__poly) ).
fof(f6942,plain,
! [X0] :
( ~ sQ138_eqProxy(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK103(X0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK103(X0))))
| ~ sQ138_eqProxy(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) ),
inference(subsumption_resolution,[],[f6243,f4204]) ).
fof(f4204,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1266]) ).
fof(f1266,plain,
~ v_thesis____,
inference(flattening,[],[f1265]) ).
fof(f1265,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[],[f1264]) ).
fof(f1264,conjecture,
v_thesis____,
file('/export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797',conj_1) ).
fof(f6243,plain,
! [X0] :
( v_thesis____
| ~ sQ138_eqProxy(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK103(X0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK103(X0))))
| ~ sQ138_eqProxy(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) ),
inference(equality_proxy_replacement,[],[f4205,f6238,f6238]) ).
fof(f4205,plain,
! [X0] :
( v_thesis____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK103(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK103(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) ),
inference(cnf_transformation,[],[f3679]) ).
fof(f3679,plain,
! [X0] :
( v_thesis____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK103(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK103(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK103])],[f2316,f3678]) ).
fof(f3678,plain,
! [X0] :
( ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK103(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK103(X0))) ),
introduced(choice_axiom,[]) ).
fof(f2316,plain,
! [X0] :
( v_thesis____
| ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) ),
inference(flattening,[],[f2315]) ).
fof(f2315,plain,
! [X0] :
( v_thesis____
| ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) ),
inference(ennf_transformation,[],[f1267]) ).
fof(f1267,plain,
! [X0] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)
=> ( ! [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
=> v_thesis____ ) ),
inference(rectify,[],[f1263]) ).
fof(f1263,axiom,
! [X18] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X18) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
=> ( ! [X2] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X18),X2) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X2))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24 % Problem : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 0.25/0.25 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.25/0.46 % Computer : n028.cluster.edu
% 0.25/0.46 % Model : x86_64 x86_64
% 0.25/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46 % Memory : 8042.1875MB
% 0.25/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.46 % CPULimit : 300
% 0.25/0.46 % WCLimit : 300
% 0.25/0.46 % DateTime : Sun Aug 27 22:27:09 EDT 2023
% 0.25/0.46 % CPUTime :
% 0.25/0.46 This is a FOF_THM_RFO_SEQ problem
% 0.25/0.47 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.kgYXxz2uLC/Vampire---4.8_797
% 0.25/0.47 % (930)Running in auto input_syntax mode. Trying TPTP
% 0.32/0.58 % (938)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)
% 0.32/0.58 % (931)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)
% 0.32/0.58 % (934)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)
% 0.32/0.58 % (936)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)
% 0.32/0.58 % (937)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)
% 0.32/0.58 % (932)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)
% 0.32/0.59 % (933)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)
% 0.32/0.62 % (938)First to succeed.
% 0.32/0.62 % (938)Refutation found. Thanks to Tanya!
% 0.32/0.62 % SZS status Theorem for Vampire---4
% 0.32/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 0.32/0.62 % (938)------------------------------
% 0.32/0.62 % (938)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.32/0.62 % (938)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.32/0.62 % (938)Termination reason: Refutation
% 0.32/0.62
% 0.32/0.62 % (938)Memory used [KB]: 5117
% 0.32/0.62 % (938)Time elapsed: 0.041 s
% 0.32/0.62 % (938)------------------------------
% 0.32/0.62 % (938)------------------------------
% 0.32/0.62 % (930)Success in time 0.151 s
% 0.32/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------