%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+100 : 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 : n013.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 07:07:39 AM UTC 2026
% Result : Theorem 0.33s 0.85s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 302 ( 0 equ)
% Maximal formula atoms : 201 ( 10 avg)
% Number of connectives : 330 ( 56 ~; 46 |; 226 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 201 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-9 aty)
% Number of functors : 58 ( 58 usr; 56 con; 0-3 aty)
% Number of variables : 81 ( 25 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_mw3_233_a462,axiom,
( varia(baum_1_1,varia_c)
& refer(baum_1_1,refer_c)
& quant(baum_1_1,one)
& gener(baum_1_1,ge)
& fact(baum_1_1,real)
& etype(baum_1_1,int0)
& card(baum_1_1,int1)
& sort(baum_1_1,d)
& gener(kabeln_1_1,ge)
& fact(kabeln_1_1,real)
& sort(kabeln_1_1,dn)
& varia(c36937,varia_c)
& refer(c36937,refer_c)
& quant(c36937,quant_c)
& gener(c36937,gener_c)
& fact(c36937,real)
& etype(c36937,etype_c)
& card(c36937,card_c)
& sort(c36937,ent)
& varia(dr__344xelmaier_1_1,varia_c)
& refer(dr__344xelmaier_1_1,refer_c)
& quant(dr__344xelmaier_1_1,one)
& gener(dr__344xelmaier_1_1,ge)
& fact(dr__344xelmaier_1_1,real)
& etype(dr__344xelmaier_1_1,int0)
& card(dr__344xelmaier_1_1,int1)
& sort(dr__344xelmaier_1_1,o)
& varia(c36914,varia_c)
& refer(c36914,indet)
& quant(c36914,mult)
& gener(c36914,gener_c)
& fact(c36914,real)
& etype(c36914,int1)
& card(c36914,cons(x_constant,cons(int1,nil)))
& sort(c36914,o)
& varia(c36870,varia_c)
& refer(c36870,refer_c)
& quant(c36870,quant_c)
& gener(c36870,gener_c)
& fact(c36870,real)
& etype(c36870,etype_c)
& card(c36870,card_c)
& sort(c36870,ent)
& varia(timi_1_1,varia_c)
& refer(timi_1_1,refer_c)
& quant(timi_1_1,one)
& gener(timi_1_1,ge)
& fact(timi_1_1,real)
& etype(timi_1_1,int0)
& card(timi_1_1,int1)
& sort(timi_1_1,o)
& varia(c36719,varia_c)
& refer(c36719,refer_c)
& quant(c36719,one)
& gener(c36719,gener_c)
& fact(c36719,real)
& etype(c36719,int0)
& card(c36719,int1)
& sort(c36719,o)
& sort(audi_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(c36712,varia_c)
& refer(c36712,indet)
& quant(c36712,one)
& gener(c36712,sp)
& fact(c36712,real)
& etype(c36712,int0)
& card(c36712,int1)
& sort(c36712,na)
& varia(c36711,con)
& refer(c36711,det)
& quant(c36711,one)
& gener(c36711,sp)
& fact(c36711,real)
& etype(c36711,int0)
& card(c36711,int1)
& sort(c36711,io)
& sort(c36711,d)
& varia(kabelbaum_1_1,varia_c)
& refer(kabelbaum_1_1,refer_c)
& quant(kabelbaum_1_1,one)
& gener(kabelbaum_1_1,ge)
& fact(kabelbaum_1_1,real)
& etype(kabelbaum_1_1,int0)
& card(kabelbaum_1_1,int1)
& sort(kabelbaum_1_1,d)
& varia(c36709,varia_c)
& refer(c36709,indet)
& quant(c36709,mult)
& gener(c36709,gener_c)
& fact(c36709,real)
& etype(c36709,int1)
& card(c36709,cons(x_constant,cons(int1,nil)))
& sort(c36709,d)
& varia(bmw_1_1,varia_c)
& refer(bmw_1_1,refer_c)
& quant(bmw_1_1,one)
& gener(bmw_1_1,ge)
& fact(bmw_1_1,real)
& etype(bmw_1_1,int0)
& card(bmw_1_1,int1)
& sort(bmw_1_1,d)
& varia(c36657,con)
& refer(c36657,det)
& quant(c36657,one)
& gener(c36657,sp)
& fact(c36657,real)
& etype(c36657,int0)
& card(c36657,int1)
& sort(c36657,d)
& varia(teil_1_1,varia_c)
& refer(teil_1_1,refer_c)
& quant(teil_1_1,quant_c)
& gener(teil_1_1,ge)
& fact(teil_1_1,real)
& etype(teil_1_1,etype_c)
& card(teil_1_1,card_c)
& sort(teil_1_1,co)
& varia(c36652,varia_c)
& refer(c36652,indet)
& quant(c36652,quant_c)
& gener(c36652,sp)
& fact(c36652,real)
& etype(c36652,etype_c)
& card(c36652,card_c)
& sort(c36652,co)
& sort(technisch__1_1,nq)
& varia(gas__1_1,varia_c)
& refer(gas__1_1,refer_c)
& quant(gas__1_1,one)
& gener(gas__1_1,ge)
& fact(gas__1_1,real)
& etype(gas__1_1,int0)
& card(gas__1_1,int1)
& sort(gas__1_1,s)
& varia(c36646,varia_c)
& refer(c36646,refer_c)
& quant(c36646,mult)
& gener(c36646,gener_c)
& fact(c36646,real)
& etype(c36646,int1)
& card(c36646,cons(x_constant,cons(int1,nil)))
& sort(c36646,s)
& varia(linde_1_1,varia_c)
& refer(linde_1_1,refer_c)
& quant(linde_1_1,one)
& gener(linde_1_1,ge)
& fact(linde_1_1,real)
& etype(linde_1_1,int0)
& card(linde_1_1,int1)
& sort(linde_1_1,d)
& varia(c36633,varia_c)
& refer(c36633,refer_c)
& quant(c36633,one)
& gener(c36633,gener_c)
& fact(c36633,real)
& etype(c36633,int0)
& card(c36633,int1)
& sort(c36633,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(c36629,con)
& refer(c36629,det)
& quant(c36629,one)
& gener(c36629,sp)
& fact(c36629,real)
& etype(c36629,int0)
& card(c36629,int1)
& sort(c36629,io)
& sort(c36629,d)
& sub(kabelbaum_1_1,baum_1_1)
& assoc(kabelbaum_1_1,kabeln_1_1)
& tupl(c36937,c36711,c36914)
& pred(c36914,dr__344xelmaier_1_1)
& tupl_p9(c36870,c36629,c36633,c36646,c36652,c36657,c36711,c36709,c36719)
& sub(c36719,timi_1_1)
& val(c36712,audi_0)
& sub(c36712,name_1_1)
& sub(c36711,firma_1_1)
& attr(c36711,c36712)
& pred(c36709,kabelbaum_1_1)
& sub(c36657,bmw_1_1)
& sub(c36652,teil_1_1)
& prop(c36646,technisch__1_1)
& pred(c36646,gas__1_1)
& sub(c36633,linde_1_1)
& sub(c36629,firma_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mw3_233_a462) ).
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_mw3_233_a462,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( 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_mw3_233_a462) ).
fof(synth_qa07_007_mw3_233_a462_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( 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_mw3_233_a462]) ).
fof(nnf_52,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_52]) ).
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_89,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_117,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_118,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_195,plain,
attr(c36711,c36712),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mw3_233_a462]) ).
cnf(c_196,plain,
sub(c36711,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mw3_233_a462]) ).
cnf(c_197,plain,
sub(c36712,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mw3_233_a462]) ).
cnf(c_389,negated_conjecture,
( ~ 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_mw3_233_a462_neg]) ).
cnf(c_440,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_118,c_117]) ).
cnf(c_860,negated_conjecture,
( ~ sub(B,name_1_1)
| ~ sub(c36711,firma_1_1)
| ~ sub(c36712,name_1_1)
| ~ obj(E,c36711)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_195,c_389]) ).
cnf(c_861,negated_conjecture,
( ~ sub(B,name_1_1)
| ~ sub(c36711,firma_1_1)
| ~ obj(E,c36711)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_197,c_860]) ).
cnf(c_674,negated_conjecture,
( ~ sub(B,name_1_1)
| ~ obj(E,c36711)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_196,c_861]) ).
cnf(c_862,plain,
( ~ sub(c36712,name_1_1)
| ~ obj(C,c36711)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_674,c_195]) ).
cnf(c_863,plain,
( ~ sub(c36712,name_1_1)
| ~ obj(A,c36711) ),
inference(resolve,[status(thm)],[c_862,c_195]) ).
cnf(c_757,plain,
~ obj(A,c36711),
inference(resolve,[status(thm)],[c_863,c_197]) ).
cnf(c_864,plain,
( obj(sK0(c36712,A,c36711),c36711)
| ~ sub(c36712,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_89,c_195]) ).
cnf(c_865,plain,
( obj(sK0(c36712,name_1_1,c36711),c36711)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_864,c_197]) ).
cnf(c_764,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_865,c_757]) ).
cnf(c_866,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_764,c_118]) ).
cnf(c_859,plain,
$false,
inference(resolve,[status(thm)],[c_440,c_866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+100 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 01:05:51 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 3919937 was started by sandbox2 on n013,
% 0.19/0.46 % Sun Sep 27 01:05:51 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.33/0.85
% 0.33/0.85 % SInE (scan): 69 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10101 zapped, of 10188 axioms (depth 3).
% 0.33/0.85
% 0.33/0.85 % From the command line: assign(max_seconds, 300).
% 0.33/0.85
% 0.33/0.85 % SZS status Theorem for theBenchmark
% 0.33/0.85
% 0.33/0.85 % Proof 1 at 0.20 (+ 0.06) seconds.
% 0.33/0.85 % Length of proof is 17.
% 0.33/0.85 % Level of proof is 5.
% 0.33/0.85 % Maximum clause weight is 21.000.
% 0.33/0.85 % Given clauses 134.
% 0.33/0.85
% 0.33/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------