%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+30 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 : Thu Sep 24 12:13:58 PM UTC 2026
% Result : Theorem 19.00s 2.93s
% Output : CNFRefutation 19.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 8 unt; 4 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 131 ( 6 avg)
% Number of connectives : 240 ( 54 ~; 41 |; 140 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 131 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 5 prp; 0-6 aty)
% Number of functors : 43 ( 43 usr; 43 con; 0-0 aty)
% Number of variables : 55 ( 41 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& sub(X5,jahr__1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X3,X2)
& attr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& sub(X5,jahr__1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X3,X2)
& attr(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( gener(mark_1_1,ge)
& sort(mark_1_1,me)
& card(c92,int929)
& sort(c92,nu)
& varia(kurs_1_1,varia_c)
& refer(kurs_1_1,refer_c)
& quant(kurs_1_1,one)
& gener(kurs_1_1,ge)
& fact(kurs_1_1,real)
& etype(kurs_1_1,int0)
& card(kurs_1_1,int1)
& sort(kurs_1_1,io)
& sort(kurs_1_1,d)
& sort(kurs_1_1,ad)
& 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)
& card(c74,int1994)
& sort(c74,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& varia(c79,varia_c)
& refer(c79,refer_c)
& quant(c79,quant_c)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,etype_c)
& card(c79,card_c)
& sort(c79,ta)
& sort(c79,oa)
& sort(c79,me)
& varia(anfang_1_1,varia_c)
& refer(anfang_1_1,refer_c)
& quant(anfang_1_1,one)
& gener(anfang_1_1,ge)
& fact(anfang_1_1,real)
& etype(anfang_1_1,int0)
& card(anfang_1_1,int1)
& sort(anfang_1_1,io)
& sort(anfang_1_1,ad)
& varia(c73,varia_c)
& refer(c73,refer_c)
& quant(c73,one)
& gener(c73,gener_c)
& fact(c73,real)
& etype(c73,int0)
& card(c73,int1)
& sort(c73,io)
& sort(c73,ad)
& varia(zeitraum_1_1,varia_c)
& refer(zeitraum_1_1,refer_c)
& quant(zeitraum_1_1,one)
& gener(zeitraum_1_1,ge)
& fact(zeitraum_1_1,real)
& etype(zeitraum_1_1,int0)
& card(zeitraum_1_1,int1)
& sort(zeitraum_1_1,ta)
& varia(c96,con)
& refer(c96,refer_c)
& quant(c96,quant_c)
& gener(c96,gener_c)
& fact(c96,real)
& etype(c96,etype_c)
& card(c96,card_c)
& sort(c96,m)
& sort(c96,co)
& varia(c88,varia_c)
& refer(c88,refer_c)
& quant(c88,one)
& gener(c88,gener_c)
& fact(c88,real)
& etype(c88,int0)
& card(c88,int1)
& sort(c88,io)
& sort(c88,d)
& sort(c88,ad)
& varia(c83,con)
& refer(c83,det)
& quant(c83,one)
& gener(c83,sp)
& fact(c83,real)
& etype(c83,int0)
& card(c83,int1)
& sort(c83,d)
& varia(c78,con)
& refer(c78,det)
& quant(c78,one)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int0)
& card(c78,int1)
& sort(c78,t)
& varia(c69,con)
& refer(c69,det)
& quant(c69,one)
& gener(c69,sp)
& fact(c69,real)
& etype(c69,int0)
& card(c69,int1)
& sort(c69,ta)
& varia(c279,varia_c)
& refer(c279,refer_c)
& quant(c279,quant_c)
& gener(c279,gener_c)
& fact(c279,real)
& etype(c279,etype_c)
& card(c279,card_c)
& sort(c279,ent)
& quant_p3(c96,c92,mark_1_1)
& sub(c88,kurs_1_1)
& sub(c83,bmw_1_1)
& val(c79,c74)
& sub(c79,jahr__1_1)
& attr(c78,c79)
& assoc(c78,c73)
& sub(c73,anfang_1_1)
& sub(c69,zeitraum_1_1)
& tupl_p6(c279,c69,c78,c83,c88,c96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10224,plain,
! [X0,X1] :
( has_card_leq(X0,X1)
| ~ card(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f10225,plain,
! [X0,X1] :
( has_card_leq(X0,X1)
| ~ card(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10224]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X5,X6)
| ~ sub(X5,jahr__1_1)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5)
| ~ attr(X3,X2)
| ~ attr(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X5,X6] :
( ~ val(X5,X6)
| ~ sub(X5,jahr__1_1)
| ~ has_card_leq(X6,int1994)
| ! [X4] : ~ attr(X4,X5)
| ! [X2,X3] : ~ attr(X3,X2)
| ! [X0,X1] : ~ attr(X0,X1) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X5,X6)
| ~ sub(X5,jahr__1_1)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5)
| ~ attr(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20822,plain,
attr(c78,c79),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c79,jahr__1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
val(c79,c74),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20926,plain,
card(c74,int1994),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20984,definition,
! [X0,X1] :
( sQ0_spl
<=> ~ attr(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20985,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20984]) ).
fof(f20987,definition,
! [X4,X5,X6] :
( sQ1_spl
<=> ( ~ val(X5,X6)
| ~ sub(X5,jahr__1_1)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20988,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ val(X1,X2)
| ~ sub(X1,jahr__1_1)
| ~ has_card_leq(X2,int1994)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20987]) ).
fof(f20990,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20984,f20987]) ).
fof(f21064,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20822,f20985]) ).
fof(f21065,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21064]) ).
fof(f21085,definition,
( sQ13_spl
<=> sub(c79,jahr__1_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21087,plain,
( sQ13_spl
| ~ sub(c79,jahr__1_1) ),
inference(component_clause,[status(thm)],[f21085]) ).
fof(f21150,plain,
! [X0] :
( ~ sQ1_spl
| ~ val(c79,X0)
| ~ sub(c79,jahr__1_1)
| ~ has_card_leq(X0,int1994) ),
inference(resolution,[status(thm)],[f20822,f20988]) ).
fof(f21151,definition,
! [X0] :
( sQ17_spl
<=> ( ~ val(c79,X0)
| ~ has_card_leq(X0,int1994) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f21152,plain,
! [X0] :
( ~ sQ17_spl
| ~ val(c79,X0)
| ~ has_card_leq(X0,int1994) ),
inference(component_clause,[status(thm)],[f21151]) ).
fof(f21154,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f21150,f21151,f21085,f20987]) ).
fof(f21157,plain,
! [X0] :
( ~ sQ17_spl
| ~ card(X0,int1994)
| ~ val(c79,X0) ),
inference(resolution,[status(thm)],[f21152,f10225]) ).
fof(f21158,plain,
( ~ sQ17_spl
| ~ card(c74,int1994) ),
inference(resolution,[status(thm)],[f21157,f20824]) ).
fof(f21159,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21158,f20926]) ).
fof(f21160,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f21159]) ).
fof(f21161,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21087,f20823]) ).
fof(f21162,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f21161]) ).
fof(f21163,plain,
$false,
inference(sat_refutation,[status(thm)],[f20990,f21065,f21154,f21160,f21162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+30 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/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 : Mon Sep 21 15:09:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.50 % Drodi V4.1.1
% 19.00/2.93 % Refutation found
% 19.00/2.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.00/2.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.43/3.02 % Elapsed time: 2.642513 seconds
% 1.43/3.02 % CPU time: 19.429210 seconds
% 1.43/3.02 % Total memory used: 506.618 MB
% 1.43/3.02 % Net memory used: 495.895 MB
%------------------------------------------------------------------------------