%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+73 : 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 : n020.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 1.98s 0.83s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 131 ( 7 avg)
% Number of connectives : 296 ( 73 ~; 61 |; 160 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 131 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-7 aty)
% Number of functors : 42 ( 42 usr; 40 con; 0-3 aty)
% Number of variables : 87 ( 30 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_483,axiom,
( varia(sued_1_1,varia_c)
& refer(sued_1_1,refer_c)
& quant(sued_1_1,one)
& gener(sued_1_1,ge)
& fact(sued_1_1,real)
& etype(sued_1_1,int0)
& card(sued_1_1,int1)
& sort(sued_1_1,oa)
& varia(c6459,varia_c)
& refer(c6459,refer_c)
& quant(c6459,quant_c)
& gener(c6459,gener_c)
& fact(c6459,real)
& etype(c6459,etype_c)
& card(c6459,card_c)
& sort(c6459,ent)
& sort(knorr_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(c4128,varia_c)
& refer(c4128,indet)
& quant(c4128,one)
& gener(c4128,sp)
& fact(c4128,real)
& etype(c4128,int0)
& card(c4128,int1)
& sort(c4128,na)
& varia(c4127,con)
& refer(c4127,det)
& quant(c4127,one)
& gener(c4127,sp)
& fact(c4127,real)
& etype(c4127,int0)
& card(c4127,int1)
& sort(c4127,d)
& varia(s__374dbremse_1_1,varia_c)
& refer(s__374dbremse_1_1,refer_c)
& quant(s__374dbremse_1_1,one)
& gener(s__374dbremse_1_1,ge)
& fact(s__374dbremse_1_1,real)
& etype(s__374dbremse_1_1,int0)
& card(s__374dbremse_1_1,int1)
& sort(s__374dbremse_1_1,d)
& varia(bremse_1_1,varia_c)
& refer(bremse_1_1,refer_c)
& quant(bremse_1_1,one)
& gener(bremse_1_1,ge)
& fact(bremse_1_1,real)
& etype(bremse_1_1,int0)
& card(bremse_1_1,int1)
& sort(bremse_1_1,d)
& varia(c4112,con)
& refer(c4112,det)
& quant(c4112,one)
& gener(c4112,sp)
& fact(c4112,real)
& etype(c4112,int0)
& card(c4112,int1)
& sort(c4112,d)
& 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(c4105,varia_c)
& refer(c4105,indet)
& quant(c4105,one)
& gener(c4105,sp)
& fact(c4105,real)
& etype(c4105,int0)
& card(c4105,int1)
& sort(c4105,na)
& varia(c4104,con)
& refer(c4104,det)
& quant(c4104,one)
& gener(c4104,sp)
& fact(c4104,real)
& etype(c4104,int0)
& card(c4104,int1)
& sort(c4104,io)
& sort(c4104,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(c3850,con)
& refer(c3850,det)
& quant(c3850,one)
& gener(c3850,sp)
& fact(c3850,real)
& etype(c3850,int0)
& card(c3850,int1)
& sort(c3850,io)
& sort(c3850,d)
& sub(s__374dbremse_1_1,bremse_1_1)
& assoc(s__374dbremse_1_1,sued_1_1)
& tupl_p7(c6459,c3850,c3850,c4104,c4112,c4127,c4112)
& val(c4128,knorr_0)
& sub(c4128,familiename_1_1)
& sub(c4127,mensch_1_1)
& attr(c4127,c4128)
& sub(c4112,s__374dbremse_1_1)
& sub(c4112,bremse_1_1)
& val(c4105,bmw_0)
& sub(c4105,name_1_1)
& sub(c4104,firma_1_1)
& attr(c4104,c4105)
& sub(c3850,firma_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_483) ).
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_483,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_483) ).
fof(synth_qa07_007_mira_wp_483_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_483]) ).
fof(nnf_55,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_55]) ).
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_118,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_157,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_158,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_225,plain,
attr(c4104,c4105),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_483]) ).
cnf(c_226,plain,
sub(c4104,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_483]) ).
cnf(c_227,plain,
sub(c4105,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_483]) ).
cnf(c_228,plain,
val(c4105,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_483]) ).
cnf(c_231,plain,
attr(c4127,c4128),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_483]) ).
cnf(c_355,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_483_neg]) ).
cnf(c_432,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_158,c_157]) ).
cnf(c_851,negated_conjecture,
( ~ val(B,bmw_0)
| ~ val(c4105,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c4104,firma_1_1)
| ~ sub(c4105,name_1_1)
| ~ obj(E,c4104)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_225,c_355]) ).
cnf(c_852,negated_conjecture,
( ~ val(B,bmw_0)
| ~ val(c4105,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c4104,firma_1_1)
| ~ obj(E,c4104)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_227,c_851]) ).
cnf(c_853,negated_conjecture,
( ~ val(B,bmw_0)
| ~ val(c4105,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(E,c4104)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_226,c_852]) ).
cnf(c_622,negated_conjecture,
( ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ obj(E,c4104)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_228,c_853]) ).
cnf(c_854,plain,
( ~ val(c4105,bmw_0)
| ~ sub(c4105,name_1_1)
| ~ obj(C,c4104)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_622,c_225]) ).
cnf(c_855,plain,
( ~ val(c4105,bmw_0)
| ~ sub(c4105,name_1_1)
| ~ obj(A,c4104) ),
inference(resolve,[status(thm)],[c_854,c_231]) ).
cnf(c_856,plain,
( ~ val(c4105,bmw_0)
| ~ obj(A,c4104) ),
inference(resolve,[status(thm)],[c_855,c_227]) ).
cnf(c_740,plain,
~ obj(A,c4104),
inference(resolve,[status(thm)],[c_856,c_228]) ).
cnf(c_857,plain,
( obj(sK0(c4105,A,c4104),c4104)
| ~ sub(c4105,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_118,c_225]) ).
cnf(c_858,plain,
( obj(sK0(c4105,name_1_1,c4104),c4104)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_857,c_227]) ).
cnf(c_748,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_858,c_740]) ).
cnf(c_859,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_748,c_158]) ).
cnf(c_850,plain,
$false,
inference(resolve,[status(thm)],[c_432,c_859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR115+73 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 01:12:04 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 2930514 was started by sandbox2 on n020,
% 0.18/0.44 % Sun Sep 27 01:12:04 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.98/0.83
% 1.98/0.83 % SInE (scan): 65 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10098 zapped, of 10188 axioms (depth 3).
% 1.98/0.83
% 1.98/0.83 % From the command line: assign(max_seconds, 300).
% 1.98/0.83
% 1.98/0.83 % SZS status Theorem for theBenchmark
% 1.98/0.83
% 1.98/0.83 % Proof 1 at 0.21 (+ 0.05) seconds.
% 1.98/0.83 % Length of proof is 19.
% 1.98/0.83 % Level of proof is 5.
% 1.98/0.83 % Maximum clause weight is 108.000.
% 1.98/0.83 % Given clauses 124.
% 1.98/0.83
% 1.98/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------