%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+7 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 07:07:47 AM UTC 2026
% Result : Theorem 13.02s 2.44s
% Output : CNFRefutation 13.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 372 ( 0 equ)
% Maximal formula atoms : 259 ( 10 avg)
% Number of connectives : 404 ( 67 ~; 55 |; 280 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 259 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 68 ( 68 usr; 67 con; 0-3 aty)
% Number of variables : 72 ( 4 sgn 18 !; 16 ?)
% 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(ave07_era5_synth_qa07_007_mira_news_1097,axiom,
( varia(c34,varia_c)
& refer(c34,refer_c)
& quant(c34,quant_c)
& gener(c34,gener_c)
& fact(c34,real)
& etype(c34,etype_c)
& card(c34,card_c)
& sort(c34,ent)
& varia(feb_1_1,varia_c)
& refer(feb_1_1,refer_c)
& quant(feb_1_1,one)
& gener(feb_1_1,ge)
& fact(feb_1_1,real)
& etype(feb_1_1,int0)
& card(feb_1_1,int1)
& sort(feb_1_1,o)
& varia(c21,varia_c)
& refer(c21,refer_c)
& quant(c21,one)
& gener(c21,gener_c)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,o)
& gener(hundertstel__1_1,ge)
& sort(hundertstel__1_1,me)
& card(c2013,int20)
& sort(c2013,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(c2036,con)
& refer(c2036,refer_c)
& quant(c2036,quant_c)
& gener(c2036,gener_c)
& fact(c2036,real)
& etype(c2036,etype_c)
& card(c2036,card_c)
& sort(c2036,co)
& sort(bmw_0,fe)
& sort(bundesdeutsch_1_1,tq)
& varia(c2007,varia_c)
& refer(c2007,indet)
& quant(c2007,one)
& gener(c2007,sp)
& fact(c2007,real)
& etype(c2007,int0)
& card(c2007,int1)
& sort(c2007,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(c1913,varia_c)
& refer(c1913,indet)
& quant(c1913,one)
& gener(c1913,sp)
& fact(c1913,real)
& etype(c1913,int0)
& card(c1913,int1)
& sort(c1913,na)
& sort(tokio_0,fe)
& varia(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,io)
& sort(c18,d)
& 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(c1912,con)
& refer(c1912,det)
& quant(c1912,one)
& gener(c1912,sp)
& fact(c1912,real)
& etype(c1912,int0)
& card(c1912,int1)
& sort(c1912,io)
& sort(c1912,d)
& gener(c2016,sp)
& fact(c2016,real)
& sort(c2016,da)
& varia(c2006,con)
& refer(c2006,det)
& quant(c2006,one)
& gener(c2006,sp)
& fact(c2006,real)
& etype(c2006,int0)
& card(c2006,int1)
& sort(c2006,io)
& sort(c2006,d)
& varia(c1730,con)
& refer(c1730,det)
& quant(c1730,one)
& gener(c1730,sp)
& fact(c1730,real)
& etype(c1730,int0)
& card(c1730,int1)
& sort(c1730,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(c2008,varia_c)
& refer(c2008,det)
& quant(c2008,quant_c)
& gener(c2008,sp)
& fact(c2008,real)
& etype(c2008,etype_c)
& card(c2008,card_c)
& sort(c2008,co)
& varia(c1725,varia_c)
& refer(c1725,indet)
& quant(c1725,one)
& gener(c1725,sp)
& fact(c1725,real)
& etype(c1725,int0)
& card(c1725,int1)
& sort(c1725,na)
& varia(c1724,con)
& refer(c1724,det)
& quant(c1724,one)
& gener(c1724,sp)
& fact(c1724,real)
& etype(c1724,int0)
& card(c1724,int1)
& sort(c1724,io)
& sort(c1724,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)
& tupl(c34,c18,c21)
& sub(c21,feb_1_1)
& quant_p3(c2036,c2013,hundertstel__1_1)
& subs(c2016,abziehen_1_2)
& obj(c2016,c2008)
& modl(c2016,wollen_0)
& agt(c2016,c1724)
& sub(c2008,anteil_1_1)
& attch(c2008,c2036)
& val(c2007,bmw_0)
& sub(c2007,name_1_1)
& sub(c2006,autobauer_1_1)
& prop(c2006,bundesdeutsch_1_1)
& attr(c2006,c2007)
& val(c1913,rover_0)
& sub(c1913,name_1_1)
& sub(c1912,firma_1_1)
& prop(c1912,britisch__1_1)
& attr(c1912,c1913)
& val(c19,tokio_0)
& sub(c19,name_1_1)
& sub(c18,stadt__1_1)
& attr(c18,c19)
& subs(c1730,annahme_1_1)
& obj(c1730,c1912)
& ante(c1730,c2016)
& agt(c1730,c2006)
& val(c1725,honda_0)
& sub(c1725,name_1_1)
& sub(c1724,autokonzern_1_1)
& prop(c1724,japanisch__1_1)
& poss(c1724,c2008)
& attr(c1724,c1725)
& 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_mira_news_1097) ).
fof(synth_qa07_007_mira_news_1097,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& subs(X4,n374bernehmen_1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1097) ).
fof(synth_qa07_007_mira_news_1097_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& subs(X4,n374bernehmen_1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1097]) ).
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_185,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_186,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_188,plain,
( agt(C,B)
| ~ chea(C,A)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[chea_agt_abs__event]) ).
fof(fact_8354,axiom,
chea(n374bernehmen_1_1,annahme_1_1),
file('theBenchmark.p',fact_8354) ).
cnf(c_205,plain,
chea(n374bernehmen_1_1,annahme_1_1),
inference(clausify,[status(thm)],[fact_8354]) ).
cnf(c_212,plain,
attr(c1724,c1725),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_218,plain,
agt(c1730,c2006),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_221,plain,
subs(c1730,annahme_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_231,plain,
attr(c2006,c2007),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_234,plain,
sub(c2007,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_235,plain,
val(c2007,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1097]) ).
cnf(c_467,negated_conjecture,
( ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(E,name_1_1)
| ~ sub(D,name_1_1)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1097_neg]) ).
cnf(c_468,plain,
( ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(E,name_1_1)
| ~ sub(D,name_1_1)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_212,c_467]) ).
cnf(c_9717,plain,
( chea(sK0(A,annahme_1_1,n374bernehmen_1_1),A)
| ~ subs(A,annahme_1_1) ),
inference(resolve,[status(thm)],[c_185,c_205]) ).
cnf(c_879,plain,
chea(sK0(c1730,annahme_1_1,n374bernehmen_1_1),c1730),
inference(resolve,[status(thm)],[c_9717,c_221]) ).
cnf(c_9718,plain,
( subs(sK0(A,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1)
| ~ subs(A,annahme_1_1) ),
inference(resolve,[status(thm)],[c_186,c_205]) ).
cnf(c_905,plain,
subs(sK0(c1730,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1),
inference(resolve,[status(thm)],[c_9718,c_221]) ).
cnf(c_9719,plain,
( ~ val(C,bmw_0)
| ~ val(c2007,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(C,name_1_1)
| ~ sub(c2007,name_1_1)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_468,c_231]) ).
cnf(c_9720,plain,
( ~ val(C,bmw_0)
| ~ val(c2007,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(C,name_1_1)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_234,c_9719]) ).
cnf(c_2848,plain,
( ~ val(C,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(C,name_1_1)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_235,c_9720]) ).
cnf(c_9721,plain,
( ~ val(c2007,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(c2007,name_1_1)
| ~ agt(A,c2006) ),
inference(resolve,[status(thm)],[c_2848,c_231]) ).
cnf(c_9722,plain,
( ~ val(c2007,bmw_0)
| ~ subs(A,n374bernehmen_1_1)
| ~ agt(A,c2006) ),
inference(resolve,[status(thm)],[c_234,c_9721]) ).
cnf(c_5754,plain,
( ~ subs(A,n374bernehmen_1_1)
| ~ agt(A,c2006) ),
inference(resolve,[status(thm)],[c_235,c_9722]) ).
cnf(c_5781,plain,
( ~ chea(A,B)
| ~ agt(B,c2006)
| ~ subs(A,n374bernehmen_1_1) ),
inference(resolve,[status(thm)],[c_5754,c_188]) ).
cnf(c_5873,plain,
( ~ chea(A,c1730)
| ~ subs(A,n374bernehmen_1_1) ),
inference(resolve,[status(thm)],[c_5781,c_218]) ).
cnf(c_9723,plain,
~ subs(sK0(c1730,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1),
inference(resolve,[status(thm)],[c_879,c_5873]) ).
cnf(c_9716,plain,
$false,
inference(resolve,[status(thm)],[c_905,c_9723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR115+7 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 01:16:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.36 % Process 2115992 was started by sandbox on n016,
% 0.14/0.36 % Sun Sep 27 01:16:16 2026
% 0.14/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 13.02/2.44
% 13.02/2.44 % SInE (scan): 76 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10087 zapped, of 10188 axioms (depth 3).
% 13.02/2.44
% 13.02/2.44 % From the command line: assign(max_seconds, 300).
% 13.02/2.44
% 13.02/2.44 % given #500 (F,wt=14): 2807 -chea(annahme_1_1,A) | -subs(A,n374bernehmen_1_1) | -val(c1725,bmw_0) | -agt(n374bernehmen_1_1,c1724). [resolve(1011,e,205,a)].
% 13.02/2.44
% 13.02/2.44 % given #1000 (W,wt=5): 1871 has_gener_leq(c18,gener_c). [ur(134,a,366,a,b,136,a)].
% 13.02/2.44
% 13.02/2.44 % given #1500 (F,wt=14): 7159 -chea(annahme_1_1,A) | -chea(c1730,A) | -subs(n374bernehmen_1_1,B) | -subs(B,n374bernehmen_1_1). [resolve(7121,a,176,c)].
% 13.02/2.44
% 13.02/2.44 % SZS status Theorem for theBenchmark
% 13.02/2.44
% 13.02/2.44 % Proof 1 at 1.44 (+ 0.28) seconds.
% 13.02/2.44 % Length of proof is 23.
% 13.02/2.44 % Level of proof is 7.
% 13.02/2.44 % Maximum clause weight is 29.000.
% 13.02/2.44 % Given clauses 1668.
% 13.02/2.44
% 13.02/2.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
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