%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+88 : 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 : n010.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 07:07:48 AM UTC 2026
% Result : Theorem 1.77s 0.82s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 289 ( 0 equ)
% Maximal formula atoms : 165 ( 9 avg)
% Number of connectives : 330 ( 73 ~; 61 |; 194 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 165 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-10 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_510,axiom,
( varia(c172,varia_c)
& refer(c172,det)
& quant(c172,one)
& gener(c172,sp)
& fact(c172,real)
& etype(c172,int0)
& card(c172,int1)
& sort(c172,o)
& varia(c318,varia_c)
& refer(c318,refer_c)
& quant(c318,quant_c)
& gener(c318,gener_c)
& fact(c318,real)
& etype(c318,etype_c)
& card(c318,card_c)
& sort(c318,ent)
& 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(c198,varia_c)
& refer(c198,indet)
& quant(c198,one)
& gener(c198,sp)
& fact(c198,real)
& etype(c198,int0)
& card(c198,int1)
& sort(c198,na)
& varia(c197,con)
& refer(c197,det)
& quant(c197,one)
& gener(c197,sp)
& fact(c197,real)
& etype(c197,int0)
& card(c197,int1)
& sort(c197,io)
& sort(c197,d)
& varia(c182,con)
& refer(c182,det)
& quant(c182,one)
& gener(c182,sp)
& fact(c182,real)
& etype(c182,int0)
& card(c182,int1)
& sort(c182,o)
& varia(version_1_1,varia_c)
& refer(version_1_1,refer_c)
& quant(version_1_1,one)
& gener(version_1_1,ge)
& fact(version_1_1,real)
& etype(version_1_1,int0)
& card(version_1_1,int1)
& sort(version_1_1,io)
& sort(version_1_1,d)
& varia(c167,varia_c)
& refer(c167,indet)
& quant(c167,mult)
& gener(c167,gener_c)
& fact(c167,real)
& etype(c167,int1)
& card(c167,cons(x_constant,cons(int1,nil)))
& sort(c167,io)
& sort(c167,d)
& varia(touring_1_1,varia_c)
& refer(touring_1_1,refer_c)
& quant(touring_1_1,one)
& gener(touring_1_1,ge)
& fact(touring_1_1,real)
& etype(touring_1_1,int0)
& card(touring_1_1,int1)
& sort(touring_1_1,ad)
& varia(c164,varia_c)
& refer(c164,refer_c)
& quant(c164,one)
& gener(c164,gener_c)
& fact(c164,real)
& etype(c164,int0)
& card(c164,int1)
& sort(c164,ad)
& varia(e28_1_1,varia_c)
& refer(e28_1_1,refer_c)
& quant(e28_1_1,one)
& gener(e28_1_1,ge)
& fact(e28_1_1,real)
& etype(e28_1_1,int0)
& card(e28_1_1,int1)
& sort(e28_1_1,o)
& varia(c159,varia_c)
& refer(c159,refer_c)
& quant(c159,several)
& gener(c159,gener_c)
& fact(c159,real)
& etype(c159,int1)
& card(c159,cons(x_constant,cons(int1,nil)))
& sort(c159,o)
& sort(schulz_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(c156,varia_c)
& refer(c156,indet)
& quant(c156,one)
& gener(c156,sp)
& fact(c156,real)
& etype(c156,int0)
& card(c156,int1)
& sort(c156,na)
& varia(c155,con)
& refer(c155,det)
& quant(c155,one)
& gener(c155,sp)
& fact(c155,real)
& etype(c155,int0)
& card(c155,int1)
& sort(c155,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(c150,con)
& refer(c150,det)
& quant(c150,one)
& gener(c150,sp)
& fact(c150,real)
& etype(c150,int0)
& card(c150,int1)
& sort(c150,io)
& sort(c150,d)
& tupl_p10(c318,c150,c155,c159,c164,c167,c172,c164,c182,c197)
& val(c198,bmw_0)
& sub(c198,name_1_1)
& sub(c197,firma_1_1)
& attr(c197,c198)
& sub(c182,e28_1_1)
& pred(c167,version_1_1)
& subs(c164,touring_1_1)
& pred(c159,e28_1_1)
& val(c156,schulz_0)
& sub(c156,familiename_1_1)
& sub(c155,mensch_1_1)
& attr(c155,c156)
& sub(c150,firma_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_510) ).
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_510,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_510) ).
fof(synth_qa07_007_mira_wp_510_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_510]) ).
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(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_62]) ).
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_121,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_152,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_153,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_236,plain,
attr(c155,c156),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_510]) ).
cnf(c_244,plain,
attr(c197,c198),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_510]) ).
cnf(c_245,plain,
sub(c197,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_510]) ).
cnf(c_246,plain,
sub(c198,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_510]) ).
cnf(c_247,plain,
val(c198,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_510]) ).
cnf(c_400,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_510_neg]) ).
cnf(c_473,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_153,c_152]) ).
cnf(c_691,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_236,c_400]) ).
cnf(c_856,plain,
( ~ val(B,bmw_0)
| ~ val(c198,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c197,firma_1_1)
| ~ sub(c198,name_1_1)
| ~ obj(C,c197)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_244,c_691]) ).
cnf(c_857,plain,
( ~ val(B,bmw_0)
| ~ val(c198,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c197,firma_1_1)
| ~ obj(C,c197)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_246,c_856]) ).
cnf(c_858,plain,
( ~ val(B,bmw_0)
| ~ val(c198,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(C,c197)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_245,c_857]) ).
cnf(c_752,plain,
( ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(C,c197)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_247,c_858]) ).
cnf(c_859,plain,
( ~ val(c198,bmw_0)
| ~ sub(c198,name_1_1)
| ~ obj(A,c197) ),
inference(resolve,[status(thm)],[c_752,c_244]) ).
cnf(c_860,plain,
( ~ val(c198,bmw_0)
| ~ obj(A,c197) ),
inference(resolve,[status(thm)],[c_246,c_859]) ).
cnf(c_765,plain,
~ obj(A,c197),
inference(resolve,[status(thm)],[c_247,c_860]) ).
cnf(c_861,plain,
( obj(sK0(c198,A,c197),c197)
| ~ sub(c198,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_121,c_244]) ).
cnf(c_862,plain,
( obj(sK0(c198,name_1_1,c197),c197)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_861,c_246]) ).
cnf(c_784,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_862,c_765]) ).
cnf(c_863,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_784,c_153]) ).
cnf(c_855,plain,
$false,
inference(resolve,[status(thm)],[c_473,c_863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+88 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 01:13:16 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 440415 was started by sandbox on n010,
% 0.18/0.45 % Sun Sep 27 01:13:16 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.77/0.82
% 1.77/0.82 % SInE (scan): 73 to sos (tol 1.5x), 23 to usable (tol 2.0x), 10092 zapped, of 10188 axioms (depth 3).
% 1.77/0.82
% 1.77/0.82 % From the command line: assign(max_seconds, 300).
% 1.77/0.82
% 1.77/0.82 % SZS status Theorem for theBenchmark
% 1.77/0.82
% 1.77/0.82 % Proof 1 at 0.17 (+ 0.05) seconds.
% 1.77/0.82 % Length of proof is 20.
% 1.77/0.82 % Level of proof is 6.
% 1.77/0.82 % Maximum clause weight is 27.000.
% 1.77/0.82 % Given clauses 93.
% 1.77/0.82
% 1.77/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------