%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+94 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:49 AM UTC 2026
% Result : Theorem 1.74s 0.69s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 17 unt; 0 def)
% Number of atoms : 445 ( 0 equ)
% Maximal formula atoms : 277 ( 10 avg)
% Number of connectives : 492 ( 89 ~; 77 |; 323 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 277 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-8 aty)
% Number of functors : 71 ( 71 usr; 66 con; 0-3 aty)
% Number of variables : 119 ( 24 sgn 53 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(ave07_era5_synth_qa07_007_mn3_209_a19984,axiom,
( varia(marke_1_1,varia_c)
& refer(marke_1_1,refer_c)
& quant(marke_1_1,one)
& gener(marke_1_1,ge)
& fact(marke_1_1,real)
& etype(marke_1_1,int0)
& card(marke_1_1,int1)
& sort(marke_1_1,oa)
& sort(marke_1_1,io)
& varia(luxus__1_1,varia_c)
& refer(luxus__1_1,refer_c)
& quant(luxus__1_1,one)
& gener(luxus__1_1,ge)
& fact(luxus__1_1,real)
& etype(luxus__1_1,int0)
& card(luxus__1_1,int1)
& sort(luxus__1_1,io)
& varia(c56100,varia_c)
& refer(c56100,refer_c)
& quant(c56100,quant_c)
& gener(c56100,gener_c)
& fact(c56100,real)
& etype(c56100,etype_c)
& card(c56100,card_c)
& sort(c56100,ent)
& sort(royce_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(c56079,varia_c)
& refer(c56079,indet)
& quant(c56079,one)
& gener(c56079,sp)
& fact(c56079,real)
& etype(c56079,int0)
& card(c56079,int1)
& sort(c56079,na)
& varia(c56078,con)
& refer(c56078,det)
& quant(c56078,one)
& gener(c56078,sp)
& fact(c56078,real)
& etype(c56078,int0)
& card(c56078,int1)
& sort(c56078,d)
& sort(roll_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c56074,varia_c)
& refer(c56074,indet)
& quant(c56074,one)
& gener(c56074,sp)
& fact(c56074,real)
& etype(c56074,int0)
& card(c56074,int1)
& sort(c56074,na)
& varia(c56073,con)
& refer(c56073,det)
& quant(c56073,one)
& gener(c56073,sp)
& fact(c56073,real)
& etype(c56073,int0)
& card(c56073,int1)
& sort(c56073,d)
& varia(luxusmarke_1_1,varia_c)
& refer(luxusmarke_1_1,refer_c)
& quant(luxusmarke_1_1,one)
& gener(luxusmarke_1_1,ge)
& fact(luxusmarke_1_1,real)
& etype(luxusmarke_1_1,int0)
& card(luxusmarke_1_1,int1)
& sort(luxusmarke_1_1,oa)
& sort(luxusmarke_1_1,io)
& varia(c56062,con)
& refer(c56062,det)
& quant(c56062,one)
& gener(c56062,sp)
& fact(c56062,real)
& etype(c56062,int0)
& card(c56062,int1)
& sort(c56062,oa)
& sort(c56062,io)
& varia(c56053,con)
& refer(c56053,det)
& quant(c56053,one)
& gener(c56053,sp)
& fact(c56053,real)
& etype(c56053,int0)
& card(c56053,int1)
& sort(c56053,ad)
& varia(interesse_1_1,varia_c)
& refer(interesse_1_1,refer_c)
& quant(interesse_1_1,one)
& gener(interesse_1_1,ge)
& fact(interesse_1_1,real)
& etype(interesse_1_1,int0)
& card(interesse_1_1,int1)
& sort(interesse_1_1,as)
& varia(c56049,varia_c)
& refer(c56049,refer_c)
& quant(c56049,one)
& gener(c56049,gener_c)
& fact(c56049,real)
& etype(c56049,int0)
& card(c56049,int1)
& sort(c56049,as)
& sort(rover_0,fe)
& sort(britisch__1_1,nq)
& varia(c56041,varia_c)
& refer(c56041,indet)
& quant(c56041,one)
& gener(c56041,sp)
& fact(c56041,real)
& etype(c56041,int0)
& card(c56041,int1)
& sort(c56041,na)
& varia(c56040,con)
& refer(c56040,det)
& quant(c56040,one)
& gener(c56040,sp)
& fact(c56040,real)
& etype(c56040,int0)
& card(c56040,int1)
& sort(c56040,io)
& sort(c56040,d)
& varia(ankauf__1_1,varia_c)
& refer(ankauf__1_1,refer_c)
& quant(ankauf__1_1,one)
& gener(ankauf__1_1,ge)
& fact(ankauf__1_1,real)
& etype(ankauf__1_1,int0)
& card(ankauf__1_1,int1)
& sort(ankauf__1_1,ad)
& varia(c55747,con)
& refer(c55747,det)
& quant(c55747,one)
& gener(c55747,sp)
& fact(c55747,real)
& etype(c55747,int0)
& card(c55747,int1)
& sort(c55747,ad)
& varia(woche_1_1,varia_c)
& refer(woche_1_1,refer_c)
& quant(woche_1_1,quant_c)
& gener(woche_1_1,ge)
& fact(woche_1_1,real)
& etype(woche_1_1,etype_c)
& card(woche_1_1,card_c)
& sort(woche_1_1,ta)
& sort(woche_1_1,oa)
& sort(woche_1_1,me)
& sort(pass__351_1_1,tq)
& varia(c55741,con)
& refer(c55741,det)
& quant(c55741,quant_c)
& gener(c55741,sp)
& fact(c55741,real)
& etype(c55741,etype_c)
& card(c55741,card_c)
& sort(c55741,ta)
& sort(c55741,oa)
& sort(c55741,me)
& sort(bmw_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& sort(bundesdeutsch_1_1,tq)
& varia(c55722,varia_c)
& refer(c55722,indet)
& quant(c55722,one)
& gener(c55722,sp)
& fact(c55722,real)
& etype(c55722,int0)
& card(c55722,int1)
& sort(c55722,na)
& varia(c55721,con)
& refer(c55721,det)
& quant(c55721,one)
& gener(c55721,sp)
& fact(c55721,real)
& etype(c55721,int0)
& card(c55721,int1)
& sort(c55721,io)
& sort(c55721,d)
& varia(firmengruppe_1_1,varia_c)
& refer(firmengruppe_1_1,refer_c)
& quant(firmengruppe_1_1,one)
& gener(firmengruppe_1_1,ge)
& fact(firmengruppe_1_1,real)
& etype(firmengruppe_1_1,int0)
& card(firmengruppe_1_1,int1)
& sort(firmengruppe_1_1,io)
& sort(firmengruppe_1_1,d)
& varia(firma_1_1,varia_c)
& refer(firma_1_1,refer_c)
& quant(firma_1_1,one)
& gener(firma_1_1,ge)
& fact(firma_1_1,real)
& etype(firma_1_1,int0)
& card(firma_1_1,int1)
& sort(firma_1_1,io)
& sort(firma_1_1,d)
& varia(auto__1_1,varia_c)
& refer(auto__1_1,refer_c)
& quant(auto__1_1,one)
& gener(auto__1_1,ge)
& fact(auto__1_1,real)
& etype(auto__1_1,int0)
& card(auto__1_1,int1)
& sort(auto__1_1,d)
& varia(autokonzern_1_1,varia_c)
& refer(autokonzern_1_1,refer_c)
& quant(autokonzern_1_1,one)
& gener(autokonzern_1_1,ge)
& fact(autokonzern_1_1,real)
& etype(autokonzern_1_1,int0)
& card(autokonzern_1_1,int1)
& sort(autokonzern_1_1,io)
& sort(autokonzern_1_1,d)
& sub(luxusmarke_1_1,marke_1_1)
& assoc(luxusmarke_1_1,luxus__1_1)
& tupl_p8(c56100,c55721,c55721,c55741,c55747,c56049,c56053,c56078)
& val(c56079,royce_0)
& sub(c56079,eigenname_1_1)
& sub(c56078,mensch_1_1)
& attr(c56078,c56079)
& val(c56074,roll_0)
& sub(c56074,familiename_1_1)
& sub(c56073,mensch_1_1)
& attr(c56073,c56074)
& attr(c56073,c56062)
& sub(c56062,luxusmarke_1_1)
& prop(c56062,britisch__1_1)
& attch(c56062,c56053)
& subs(c56053,ankauf__1_1)
& subs(c56049,interesse_1_1)
& val(c56041,rover_0)
& sub(c56041,name_1_1)
& sub(c56040,firma_1_1)
& prop(c56040,britisch__1_1)
& attr(c56040,c56041)
& attch(c56040,c55747)
& subs(c55747,ankauf__1_1)
& sub(c55741,woche_1_1)
& prop(c55741,pass__351_1_1)
& val(c55722,bmw_0)
& sub(c55722,name_1_1)
& sub(c55721,autokonzern_1_1)
& prop(c55721,bundesdeutsch_1_1)
& attr(c55721,c55722)
& sub(autokonzern_1_1,firmengruppe_1_1)
& sub(autokonzern_1_1,firma_1_1)
& assoc(autokonzern_1_1,auto__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mn3_209_a19984) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_007_mn3_209_a19984,conjecture,
? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& attr(X4,X5)
& attr(X2,X1) ),
file('theBenchmark.p',synth_qa07_007_mn3_209_a19984) ).
fof(synth_qa07_007_mn3_209_a19984_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& attr(X4,X5)
& attr(X2,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mn3_209_a19984]) ).
fof(nnf_61,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).
fof(sk_state_adjective__in_state_sk,plain,
! [X0,X1,X2] :
( ( val(sK1(X0,X1,X2),X2)
& sub(sK1(X0,X1,X2),name_1_1)
& sub(sK0(X0,X1,X2),land_1_1)
& loc(X0,sK3(X0,X1,X2))
& attr(sK0(X0,X1,X2),sK1(X0,X1,X2))
& in(sK3(X0,X1,X2),sK0(X0,X1,X2)) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK0,sK1]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2)),skolemize(X5,sK3(X0,X1,X2))],[nnf_61]) ).
fof(sk_state_adjective__in_state,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( val(sK1(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK1(VAR_0,VAR_1,VAR_2),name_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK0(VAR_0,VAR_1,VAR_2),land_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( loc(VAR_0,sK3(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( attr(sK0(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( in(sK3(VAR_0,VAR_1,VAR_2),sK0(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).
cnf(c_118,plain,
( attr(sK0(A,B,C),sK1(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
fof(nnf_62,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK2(X0,X1,X2),stehen_1_b)
& scar(sK2(X0,X1,X2),X2)
& obj(sK2(X0,X1,X2),X2)
& mcont(sK2(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[nnf_62]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK2(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( scar(sK2(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK2(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK2(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_124,plain,
( obj(sK2(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
fof(fact_8849,axiom,
state_adjective_state_binding(bundesdeutsch_1_1,bundesrepublik_0),
file('theBenchmark.p',fact_8849) ).
cnf(c_158,plain,
state_adjective_state_binding(bundesdeutsch_1_1,bundesrepublik_0),
inference(clausify,[status(thm)],[fact_8849]) ).
cnf(c_161,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_162,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_251,plain,
attr(c55721,c55722),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_252,plain,
prop(c55721,bundesdeutsch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_254,plain,
sub(c55722,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_255,plain,
val(c55722,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_260,plain,
attr(c56040,c56041),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_261,plain,
prop(c56040,britisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_262,plain,
sub(c56040,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_263,plain,
sub(c56041,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).
cnf(c_525,negated_conjecture,
( ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(F,firma_1_1)
| ~ prop(F,britisch__1_1)
| ~ obj(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mn3_209_a19984_neg]) ).
cnf(c_527,plain,
( ~ state_adjective_state_binding(F,V6)
| ~ prop(E,F)
| ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(D,firma_1_1)
| ~ prop(D,britisch__1_1)
| ~ obj(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_525,c_118]) ).
cnf(c_562,plain,
( ~ prop(E,bundesdeutsch_1_1)
| ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(D,firma_1_1)
| ~ prop(D,britisch__1_1)
| ~ obj(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_527,c_158]) ).
cnf(c_598,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_162,c_161]) ).
cnf(c_1020,plain,
( ~ prop(C,bundesdeutsch_1_1)
| ~ val(c55722,bmw_0)
| ~ sub(c55722,name_1_1)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B) ),
inference(resolve,[status(thm)],[c_251,c_562]) ).
cnf(c_1021,plain,
( ~ prop(C,bundesdeutsch_1_1)
| ~ val(c55722,bmw_0)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B) ),
inference(resolve,[status(thm)],[c_254,c_1020]) ).
cnf(c_811,plain,
( ~ prop(C,bundesdeutsch_1_1)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B) ),
inference(resolve,[status(thm)],[c_255,c_1021]) ).
cnf(c_861,plain,
( ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B) ),
inference(resolve,[status(thm)],[c_811,c_252]) ).
cnf(c_1022,plain,
( ~ sub(c56040,firma_1_1)
| ~ obj(A,c56040) ),
inference(resolve,[status(thm)],[c_261,c_861]) ).
cnf(c_894,plain,
~ obj(A,c56040),
inference(resolve,[status(thm)],[c_262,c_1022]) ).
cnf(c_1023,plain,
( obj(sK2(c56041,A,c56040),c56040)
| ~ sub(c56041,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_124,c_260]) ).
cnf(c_1024,plain,
( obj(sK2(c56041,name_1_1,c56040),c56040)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_1023,c_263]) ).
cnf(c_908,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_1024,c_894]) ).
cnf(c_1025,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_908,c_162]) ).
cnf(c_1019,plain,
$false,
inference(resolve,[status(thm)],[c_598,c_1025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+94 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 01:14:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 4177022 was started by sandbox2 on n003,
% 0.09/0.36 % Sun Sep 27 01:14:40 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.74/0.69
% 1.74/0.69 % SInE (scan): 81 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10079 zapped, of 10188 axioms (depth 3).
% 1.74/0.69
% 1.74/0.69 % From the command line: assign(max_seconds, 300).
% 1.74/0.69
% 1.74/0.69 % SZS status Theorem for theBenchmark
% 1.74/0.69
% 1.74/0.69 % Proof 1 at 0.19 (+ 0.05) seconds.
% 1.74/0.69 % Length of proof is 28.
% 1.74/0.69 % Level of proof is 8.
% 1.74/0.69 % Maximum clause weight is 108.000.
% 1.74/0.69 % Given clauses 136.
% 1.74/0.69
% 1.74/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------