%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+72 : 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 : n015.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 1.97s 0.78s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 194 ( 9 avg)
% Number of connectives : 359 ( 73 ~; 61 |; 223 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 194 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 50 ( 50 usr; 48 con; 0-3 aty)
% Number of variables : 81 ( 21 sgn 26 !; 16 ?)
% 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_mira_wp_482,axiom,
( varia(rechte_1_1,varia_c)
& refer(rechte_1_1,refer_c)
& quant(rechte_1_1,quant_c)
& gener(rechte_1_1,ge)
& fact(rechte_1_1,real)
& etype(rechte_1_1,int1)
& card(rechte_1_1,card_c)
& sort(rechte_1_1,io)
& sort(rechte_1_1,d)
& varia(aktion__344r_1_1,varia_c)
& refer(aktion__344r_1_1,refer_c)
& quant(aktion__344r_1_1,one)
& gener(aktion__344r_1_1,ge)
& fact(aktion__344r_1_1,real)
& etype(aktion__344r_1_1,int0)
& card(aktion__344r_1_1,int1)
& sort(aktion__344r_1_1,io)
& sort(aktion__344r_1_1,d)
& varia(haupt_1_1,varia_c)
& refer(haupt_1_1,refer_c)
& quant(haupt_1_1,one)
& gener(haupt_1_1,ge)
& fact(haupt_1_1,real)
& etype(haupt_1_1,int0)
& card(haupt_1_1,int1)
& sort(haupt_1_1,d)
& gener(mitnehmen_1_1,ge)
& fact(mitnehmen_1_1,real)
& sort(mitnehmen_1_1,da)
& varia(c601,con)
& refer(c601,det)
& quant(c601,one)
& gener(c601,sp)
& fact(c601,real)
& etype(c601,int0)
& card(c601,int1)
& sort(c601,l)
& gener(c598,sp)
& fact(c598,real)
& sort(c598,da)
& 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)
& varia(c596,varia_c)
& refer(c596,indet)
& quant(c596,one)
& gener(c596,sp)
& fact(c596,real)
& etype(c596,int0)
& card(c596,int1)
& sort(c596,na)
& varia(c595,con)
& refer(c595,det)
& quant(c595,one)
& gener(c595,sp)
& fact(c595,real)
& etype(c595,int0)
& card(c595,int1)
& sort(c595,io)
& sort(c595,d)
& varia(namensrechte_1_1,varia_c)
& refer(namensrechte_1_1,refer_c)
& quant(namensrechte_1_1,quant_c)
& gener(namensrechte_1_1,ge)
& fact(namensrechte_1_1,real)
& etype(namensrechte_1_1,int1)
& card(namensrechte_1_1,card_c)
& sort(namensrechte_1_1,io)
& sort(namensrechte_1_1,d)
& varia(c528,con)
& refer(c528,det)
& quant(c528,one)
& gener(c528,sp)
& fact(c528,real)
& etype(c528,int1)
& card(c528,int1)
& sort(c528,io)
& sort(c528,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)
& sort(castiglioni_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)
& sort(camillo_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(hauptaktion__344r_1_1,varia_c)
& refer(hauptaktion__344r_1_1,refer_c)
& quant(hauptaktion__344r_1_1,one)
& gener(hauptaktion__344r_1_1,ge)
& fact(hauptaktion__344r_1_1,real)
& etype(hauptaktion__344r_1_1,int0)
& card(hauptaktion__344r_1_1,int1)
& sort(hauptaktion__344r_1_1,io)
& sort(hauptaktion__344r_1_1,d)
& varia(c453,varia_c)
& refer(c453,det)
& quant(c453,one)
& gener(c453,sp)
& fact(c453,real)
& etype(c453,int0)
& card(c453,int1)
& sort(c453,na)
& varia(c452,varia_c)
& refer(c452,indet)
& quant(c452,one)
& gener(c452,sp)
& fact(c452,real)
& etype(c452,int0)
& card(c452,int1)
& sort(c452,na)
& gener(verlassen_1_3,ge)
& fact(verlassen_1_3,real)
& sort(verlassen_1_3,da)
& varia(c451,varia_c)
& refer(c451,det)
& quant(c451,one)
& gener(c451,sp)
& fact(c451,real)
& etype(c451,int0)
& card(c451,int1)
& sort(c451,d)
& varia(c456,con)
& refer(c456,det)
& quant(c456,one)
& gener(c456,sp)
& fact(c456,real)
& etype(c456,int0)
& card(c456,int1)
& sort(c456,io)
& sort(c456,d)
& varia(c1,varia_c)
& refer(c1,refer_c)
& quant(c1,quant_c)
& gener(c1,sp)
& fact(c1,real)
& etype(c1,etype_c)
& card(c1,card_c)
& sort(c1,co)
& gener(c2,sp)
& fact(c2,real)
& sort(c2,da)
& sub(namensrechte_1_1,rechte_1_1)
& assoc(namensrechte_1_1,name_1_1)
& sub(hauptaktion__344r_1_1,aktion__344r_1_1)
& assoc(hauptaktion__344r_1_1,haupt_1_1)
& flp(c601,c595)
& subs(c598,mitnehmen_1_1)
& semrel(c598,c2)
& obj(c598,c528)
& dircl(c598,c601)
& agt(c598,c1)
& val(c596,bmw_0)
& sub(c596,name_1_1)
& sub(c595,firma_1_1)
& attr(c595,c596)
& sub(c528,namensrechte_1_1)
& sub(c456,firma_1_1)
& val(c453,castiglioni_0)
& sub(c453,familiename_1_1)
& val(c452,camillo_0)
& sub(c452,eigenname_1_1)
& sub(c451,hauptaktion__344r_1_1)
& attr(c451,c453)
& attr(c451,c452)
& subs(c2,verlassen_1_3)
& benf(c2,c451)
& avrt(c2,c456)
& agt(c2,c1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_482) ).
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_mira_wp_482,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_wp_482) ).
fof(synth_qa07_007_mira_wp_482_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_482]) ).
fof(nnf_63,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(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(sK0(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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_63]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(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(sK0(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(sK0(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(sK0(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_135,plain,
( obj(sK0(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]) ).
cnf(c_181,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_182,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_267,plain,
attr(c451,c452),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_482]) ).
cnf(c_276,plain,
attr(c595,c596),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_482]) ).
cnf(c_277,plain,
sub(c595,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_482]) ).
cnf(c_278,plain,
sub(c596,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_482]) ).
cnf(c_279,plain,
val(c596,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_482]) ).
cnf(c_457,negated_conjecture,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(V6,A)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_482_neg]) ).
cnf(c_587,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_182,c_181]) ).
cnf(c_1009,plain,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_267,c_457]) ).
cnf(c_1214,plain,
( ~ val(B,bmw_0)
| ~ val(c596,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c595,firma_1_1)
| ~ sub(c596,name_1_1)
| ~ obj(C,c595)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_276,c_1009]) ).
cnf(c_1215,plain,
( ~ val(B,bmw_0)
| ~ val(c596,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c595,firma_1_1)
| ~ obj(C,c595)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_278,c_1214]) ).
cnf(c_1216,plain,
( ~ val(B,bmw_0)
| ~ val(c596,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(C,c595)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_277,c_1215]) ).
cnf(c_1091,plain,
( ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(C,c595)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_279,c_1216]) ).
cnf(c_1217,plain,
( ~ val(c596,bmw_0)
| ~ sub(c596,name_1_1)
| ~ obj(A,c595) ),
inference(resolve,[status(thm)],[c_1091,c_276]) ).
cnf(c_1218,plain,
( ~ val(c596,bmw_0)
| ~ obj(A,c595) ),
inference(resolve,[status(thm)],[c_278,c_1217]) ).
cnf(c_1092,plain,
~ obj(A,c595),
inference(resolve,[status(thm)],[c_279,c_1218]) ).
cnf(c_1219,plain,
( obj(sK0(c596,A,c595),c595)
| ~ sub(c596,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_135,c_276]) ).
cnf(c_1220,plain,
( obj(sK0(c596,name_1_1,c595),c595)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_1219,c_278]) ).
cnf(c_1108,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_1220,c_1092]) ).
cnf(c_1221,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_1108,c_182]) ).
cnf(c_1213,plain,
$false,
inference(resolve,[status(thm)],[c_587,c_1221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+72 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 01:14:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1156824 was started by sandbox on n015,
% 0.09/0.37 % Sun Sep 27 01:14:29 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.97/0.78
% 1.97/0.78 % SInE (scan): 74 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10085 zapped, of 10188 axioms (depth 3).
% 1.97/0.78
% 1.97/0.78 % From the command line: assign(max_seconds, 300).
% 1.97/0.78
% 1.97/0.78 % SZS status Theorem for theBenchmark
% 1.97/0.78
% 1.97/0.78 % Proof 1 at 0.27 (+ 0.06) seconds.
% 1.97/0.78 % Length of proof is 20.
% 1.97/0.78 % Level of proof is 6.
% 1.97/0.78 % Maximum clause weight is 108.000.
% 1.97/0.78 % Given clauses 113.
% 1.97/0.78
% 1.97/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------