%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+1 : 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 : n007.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 07:07:40 AM UTC 2026
% Result : Theorem 2.21s 0.69s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 14 unt; 0 def)
% Number of atoms : 335 ( 0 equ)
% Maximal formula atoms : 202 ( 7 avg)
% Number of connectives : 375 ( 82 ~; 66 |; 224 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 202 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 59 ( 59 usr; 58 con; 0-3 aty)
% Number of variables : 75 ( 2 sgn 21 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(chea_subs_abs__event,axiom,
! [X0,X1,X2] :
( ( subs(X0,X1)
& chea(X2,X1) )
=> ? [X3] :
( subs(X3,X2)
& chea(X3,X0) ) ),
file('theBenchmark.p',chea_subs_abs__event) ).
fof(chea_agt_abs__event,axiom,
! [X0,X1,X2] :
( ( chea(X1,X0)
& agt(X0,X2) )
=> agt(X1,X2) ),
file('theBenchmark.p',chea_agt_abs__event) ).
fof(chea_obj_abs__event,axiom,
! [X0,X1,X2] :
( ( obj(X0,X2)
& chea(X1,X0) )
=> obj(X1,X2) ),
file('theBenchmark.p',chea_obj_abs__event) ).
fof(ave07_era5_synth_qa07_007_insicht_1_a19984,axiom,
( gener(hundertstel__1_1,ge)
& sort(hundertstel__1_1,me)
& card(c1954,int20)
& sort(c1954,nu)
& gener(abziehen_1_2,ge)
& fact(abziehen_1_2,real)
& sort(abziehen_1_2,da)
& gener(wollen_0,gener_c)
& fact(wollen_0,real)
& sort(wollen_0,md)
& varia(anteil_1_1,varia_c)
& refer(anteil_1_1,refer_c)
& quant(anteil_1_1,quant_c)
& gener(anteil_1_1,ge)
& fact(anteil_1_1,real)
& etype(anteil_1_1,etype_c)
& card(anteil_1_1,card_c)
& sort(anteil_1_1,co)
& varia(c1977,con)
& refer(c1977,refer_c)
& quant(c1977,quant_c)
& gener(c1977,gener_c)
& fact(c1977,real)
& etype(c1977,etype_c)
& card(c1977,card_c)
& sort(c1977,co)
& sort(bmw_0,fe)
& sort(bundesdeutsch_1_1,tq)
& varia(c1948,varia_c)
& refer(c1948,indet)
& quant(c1948,one)
& gener(c1948,sp)
& fact(c1948,real)
& etype(c1948,int0)
& card(c1948,int1)
& sort(c1948,na)
& sort(rover_0,fe)
& 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)
& sort(britisch__1_1,nq)
& varia(c1854,varia_c)
& refer(c1854,indet)
& quant(c1854,one)
& gener(c1854,sp)
& fact(c1854,real)
& etype(c1854,int0)
& card(c1854,int1)
& sort(c1854,na)
& varia(annahme_1_1,varia_c)
& refer(annahme_1_1,refer_c)
& quant(annahme_1_1,one)
& gener(annahme_1_1,ge)
& fact(annahme_1_1,real)
& etype(annahme_1_1,int0)
& card(annahme_1_1,int1)
& sort(annahme_1_1,ad)
& varia(c1853,con)
& refer(c1853,det)
& quant(c1853,one)
& gener(c1853,sp)
& fact(c1853,real)
& etype(c1853,int0)
& card(c1853,int1)
& sort(c1853,io)
& sort(c1853,d)
& gener(c1957,sp)
& fact(c1957,real)
& sort(c1957,da)
& varia(c1947,con)
& refer(c1947,det)
& quant(c1947,one)
& gener(c1947,sp)
& fact(c1947,real)
& etype(c1947,int0)
& card(c1947,int1)
& sort(c1947,io)
& sort(c1947,d)
& varia(c1671,con)
& refer(c1671,det)
& quant(c1671,one)
& gener(c1671,sp)
& fact(c1671,real)
& etype(c1671,int0)
& card(c1671,int1)
& sort(c1671,ad)
& sort(honda_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(japanisch__1_1,nq)
& varia(c1949,varia_c)
& refer(c1949,det)
& quant(c1949,quant_c)
& gener(c1949,sp)
& fact(c1949,real)
& etype(c1949,etype_c)
& card(c1949,card_c)
& sort(c1949,co)
& varia(c1666,varia_c)
& refer(c1666,indet)
& quant(c1666,one)
& gener(c1666,sp)
& fact(c1666,real)
& etype(c1666,int0)
& card(c1666,int1)
& sort(c1666,na)
& varia(c1665,con)
& refer(c1665,det)
& quant(c1665,one)
& gener(c1665,sp)
& fact(c1665,real)
& etype(c1665,int0)
& card(c1665,int1)
& sort(c1665,io)
& sort(c1665,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(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)
& varia(fabrikant_1_1,varia_c)
& refer(fabrikant_1_1,refer_c)
& quant(fabrikant_1_1,one)
& gener(fabrikant_1_1,ge)
& fact(fabrikant_1_1,real)
& etype(fabrikant_1_1,int0)
& card(fabrikant_1_1,int1)
& sort(fabrikant_1_1,io)
& sort(fabrikant_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(autobauer_1_1,varia_c)
& refer(autobauer_1_1,refer_c)
& quant(autobauer_1_1,one)
& gener(autobauer_1_1,ge)
& fact(autobauer_1_1,real)
& etype(autobauer_1_1,int0)
& card(autobauer_1_1,int1)
& sort(autobauer_1_1,io)
& sort(autobauer_1_1,d)
& quant_p3(c1977,c1954,hundertstel__1_1)
& subs(c1957,abziehen_1_2)
& obj(c1957,c1949)
& modl(c1957,wollen_0)
& agt(c1957,c1665)
& sub(c1949,anteil_1_1)
& attch(c1949,c1977)
& val(c1948,bmw_0)
& sub(c1948,name_1_1)
& sub(c1947,autobauer_1_1)
& prop(c1947,bundesdeutsch_1_1)
& attr(c1947,c1948)
& val(c1854,rover_0)
& sub(c1854,name_1_1)
& sub(c1853,firma_1_1)
& prop(c1853,britisch__1_1)
& attr(c1853,c1854)
& subs(c1671,annahme_1_1)
& obj(c1671,c1853)
& ante(c1671,c1957)
& agt(c1671,c1947)
& val(c1666,honda_0)
& sub(c1666,name_1_1)
& sub(c1665,autokonzern_1_1)
& prop(c1665,japanisch__1_1)
& poss(c1665,c1949)
& attr(c1665,c1666)
& sub(autokonzern_1_1,firmengruppe_1_1)
& assoc(autokonzern_1_1,auto__1_1)
& sub(autobauer_1_1,fabrikant_1_1)
& assoc(autobauer_1_1,auto__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_insicht_1_a19984) ).
fof(synth_qa07_007_insicht_1_a19984,conjecture,
? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& subs(X3,n374bernehmen_1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
file('theBenchmark.p',synth_qa07_007_insicht_1_a19984) ).
fof(synth_qa07_007_insicht_1_a19984_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& subs(X3,n374bernehmen_1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_insicht_1_a19984]) ).
fof(nnf_25,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,X2)
& chea(X3,X0) )
| ~ subs(X0,X1)
| ~ chea(X2,X1) ),
inference(fof_nnf,[status(thm)],[chea_subs_abs__event]) ).
fof(sk_chea_subs_abs__event_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),X2)
& chea(sK0(X0,X1,X2),X0) )
| ~ subs(X0,X1)
| ~ chea(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_25]) ).
fof(sk_chea_subs_abs__event,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_2,VAR_1,VAR_0),VAR_0)
| ~ subs(VAR_2,VAR_1)
| ~ chea(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( chea(sK0(VAR_2,VAR_1,VAR_0),VAR_2)
| ~ subs(VAR_2,VAR_1)
| ~ chea(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_chea_subs_abs__event_sk]) ).
cnf(c_164,plain,
( chea(sK0(C,B,A),C)
| ~ subs(C,B)
| ~ chea(A,B) ),
inference(split_conjunct,[status(thm)],[sk_chea_subs_abs__event]) ).
cnf(c_165,plain,
( subs(sK0(C,B,A),A)
| ~ subs(C,B)
| ~ chea(A,B) ),
inference(split_conjunct,[status(thm)],[sk_chea_subs_abs__event]) ).
cnf(c_167,plain,
( agt(C,B)
| ~ chea(C,A)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[chea_agt_abs__event]) ).
cnf(c_169,plain,
( obj(A,C)
| ~ obj(B,C)
| ~ chea(A,B) ),
inference(clausify,[status(thm)],[chea_obj_abs__event]) ).
fof(fact_8354,axiom,
chea(n374bernehmen_1_1,annahme_1_1),
file('theBenchmark.p',fact_8354) ).
cnf(c_174,plain,
chea(n374bernehmen_1_1,annahme_1_1),
inference(clausify,[status(thm)],[fact_8354]) ).
cnf(c_180,plain,
attr(c1665,c1666),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_186,plain,
agt(c1671,c1947),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_188,plain,
obj(c1671,c1853),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_189,plain,
subs(c1671,annahme_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_191,plain,
prop(c1853,britisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_192,plain,
sub(c1853,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_195,plain,
attr(c1947,c1948),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_198,plain,
sub(c1948,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_199,plain,
val(c1948,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_insicht_1_a19984]) ).
cnf(c_378,negated_conjecture,
( ~ val(C,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(C,name_1_1)
| ~ sub(F,firma_1_1)
| ~ prop(F,britisch__1_1)
| ~ obj(A,F)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_insicht_1_a19984_neg]) ).
cnf(c_379,plain,
( ~ val(C,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(C,name_1_1)
| ~ sub(D,firma_1_1)
| ~ prop(D,britisch__1_1)
| ~ obj(A,D)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_180,c_378]) ).
cnf(c_2931,plain,
( ~ val(c1948,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(c1948,name_1_1)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_195,c_379]) ).
cnf(c_2932,plain,
( ~ val(c1948,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_198,c_2931]) ).
cnf(c_436,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ sub(B,firma_1_1)
| ~ prop(B,britisch__1_1)
| ~ obj(A,B)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_199,c_2932]) ).
cnf(c_2933,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ sub(c1853,firma_1_1)
| ~ obj(A,c1853)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_436,c_191]) ).
cnf(c_451,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ obj(A,c1853)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_192,c_2933]) ).
cnf(c_2934,plain,
( subs(sK0(A,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1)
| ~ subs(A,annahme_1_1) ),
inference(resolve,[status(thm)],[c_165,c_174]) ).
cnf(c_872,plain,
subs(sK0(c1671,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1),
inference(resolve,[status(thm)],[c_2934,c_189]) ).
cnf(c_977,plain,
( ~ subs(B,n374bernehmen_1_1)
| ~ obj(B,c1853)
| ~ chea(B,A)
| ~ agt(A,c1947) ),
inference(resolve,[status(thm)],[c_167,c_451]) ).
cnf(c_1199,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ obj(A,c1853)
| ~ chea(A,c1671) ),
inference(resolve,[status(thm)],[c_977,c_186]) ).
cnf(c_1242,plain,
( ~ obj(B,c1853)
| ~ chea(A,B)
| ~ subs(A,n374bernehmen_1_1)
| ~ chea(A,c1671) ),
inference(resolve,[status(thm)],[c_1199,c_169]) ).
cnf(c_2935,plain,
( ~ chea(A,c1671)
| ~ subs(A,n374bernehmen_1_1)
| ~ chea(A,c1671) ),
inference(resolve,[status(thm)],[c_1242,c_188]) ).
cnf(c_1688,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ chea(A,c1671) ),
inference(copy,[status(thm)],[c_2935]) ).
cnf(c_1699,plain,
( ~ subs(c1671,A)
| ~ chea(B,A)
| ~ subs(sK0(c1671,A,B),n374bernehmen_1_1) ),
inference(resolve,[status(thm)],[c_1688,c_164]) ).
cnf(c_2936,plain,
( ~ subs(c1671,annahme_1_1)
| ~ subs(sK0(c1671,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1) ),
inference(resolve,[status(thm)],[c_1699,c_174]) ).
cnf(c_2937,plain,
~ subs(c1671,annahme_1_1),
inference(resolve,[status(thm)],[c_872,c_2936]) ).
cnf(c_2930,plain,
$false,
inference(resolve,[status(thm)],[c_189,c_2937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 01:04:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.36 % Process 894508 was started by sandbox2 on n007,
% 0.14/0.36 % Sun Sep 27 01:04:55 2026
% 0.14/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.21/0.69
% 2.21/0.69 % SInE (scan): 70 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10096 zapped, of 10188 axioms (depth 3).
% 2.21/0.69
% 2.21/0.69 % From the command line: assign(max_seconds, 300).
% 2.21/0.69
% 2.21/0.69 % given #500 (F,wt=11): 2383 -chea(annahme_1_1,c1671) | -subs(abziehen_1_2,n374bernehmen_1_1) | -subs(n374bernehmen_1_1,c1957). [resolve(2327,d,205,a)].
% 2.21/0.69
% 2.21/0.69 % SZS status Theorem for theBenchmark
% 2.21/0.69
% 2.21/0.69 % Proof 1 at 0.21 (+ 0.07) seconds.
% 2.21/0.69 % Length of proof is 30.
% 2.21/0.69 % Level of proof is 10.
% 2.21/0.69 % Maximum clause weight is 29.000.
% 2.21/0.69 % Given clauses 641.
% 2.21/0.69
% 2.21/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------