%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+48 : 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 : n019.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 07:07:44 AM UTC 2026
% Result : Theorem 0.48s 0.57s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 122 ( 8 avg)
% Number of connectives : 319 ( 94 ~; 79 |; 145 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 122 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 43 con; 0-0 aty)
% Number of variables : 70 ( 0 sgn 2 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('theBenchmark.p',has_card_eq) ).
fof(ave07_era5_synth_qa07_007_mira_news_1289,axiom,
( varia(schon_1_1,varia_c)
& refer(schon_1_1,refer_c)
& quant(schon_1_1,one)
& gener(schon_1_1,sp)
& fact(schon_1_1,real)
& etype(schon_1_1,int0)
& card(schon_1_1,int1)
& sort(schon_1_1,t)
& gener(festigen_1_1,ge)
& fact(festigen_1_1,real)
& sort(festigen_1_1,da)
& card(c508,int1994)
& sort(c508,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(c518,varia_c)
& refer(c518,refer_c)
& quant(c518,quant_c)
& gener(c518,sp)
& fact(c518,real)
& etype(c518,etype_c)
& card(c518,card_c)
& sort(c518,ta)
& sort(c518,oa)
& sort(c518,me)
& varia(c517,con)
& refer(c517,det)
& quant(c517,one)
& gener(c517,sp)
& fact(c517,real)
& etype(c517,int0)
& card(c517,int1)
& sort(c517,t)
& sort(rover_0,fe)
& varia(c507,varia_c)
& refer(c507,indet)
& quant(c507,one)
& gener(c507,sp)
& fact(c507,real)
& etype(c507,int0)
& card(c507,int1)
& sort(c507,na)
& varia(c506,con)
& refer(c506,det)
& quant(c506,one)
& gener(c506,sp)
& fact(c506,real)
& etype(c506,int0)
& card(c506,int1)
& sort(c506,io)
& sort(c506,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(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(c420,varia_c)
& refer(c420,indet)
& quant(c420,one)
& gener(c420,sp)
& fact(c420,real)
& etype(c420,int0)
& card(c420,int1)
& sort(c420,na)
& gener(erw__344gen_1_1,ge)
& fact(erw__344gen_1_1,real)
& sort(erw__344gen_1_1,da)
& varia(c419,con)
& refer(c419,det)
& quant(c419,one)
& gener(c419,sp)
& fact(c419,real)
& etype(c419,int0)
& card(c419,int1)
& sort(c419,io)
& sort(c419,d)
& gener(c519,sp)
& fact(c519,hypo)
& sort(c519,da)
& gener(c417,sp)
& fact(c417,real)
& sort(c417,da)
& temp(c519,schon_1_1)
& temp(c519,c517)
& subs(c519,festigen_1_1)
& obj(c519,c506)
& agt(c519,c419)
& val(c518,c508)
& sub(c518,jahr__1_1)
& attr(c517,c518)
& val(c507,rover_0)
& sub(c507,name_1_1)
& sub(c506,firma_1_1)
& attr(c506,c507)
& val(c420,bmw_0)
& sub(c420,name_1_1)
& sub(c419,firma_1_1)
& attr(c419,c420)
& subs(c417,erw__344gen_1_1)
& mexp(c417,c419)
& mcont(c417,c519) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1289) ).
fof(synth_qa07_007_mira_news_1289,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& val(X2,bmw_0)
& val(X1,bmw_0)
& temp(X4,X5)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1289) ).
fof(synth_qa07_007_mira_news_1289_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& val(X2,bmw_0)
& val(X1,bmw_0)
& temp(X4,X5)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1289]) ).
cnf(c_152,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_221,plain,
attr(c419,c420),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_222,plain,
sub(c419,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_223,plain,
sub(c420,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_224,plain,
val(c420,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_229,plain,
attr(c517,c518),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_230,plain,
sub(c518,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_231,plain,
val(c518,c508),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_232,plain,
agt(c519,c419),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_235,plain,
temp(c519,c517),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_328,plain,
card(c508,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1289]) ).
cnf(c_340,negated_conjecture,
( ~ val(V6,V7)
| ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ temp(A,F)
| ~ sub(V6,jahr__1_1)
| ~ sub(E,name_1_1)
| ~ sub(C,firma_1_1)
| ~ sub(D,name_1_1)
| ~ has_card_leq(V7,int1994)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1289_neg]) ).
cnf(c_434,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ val(c420,bmw_0)
| ~ temp(A,D)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ sub(c419,firma_1_1)
| ~ sub(c420,name_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_221,c_340]) ).
cnf(c_435,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ val(c420,bmw_0)
| ~ temp(A,D)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ sub(c419,firma_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_223,c_434]) ).
cnf(c_436,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ val(c420,bmw_0)
| ~ temp(A,D)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_222,c_435]) ).
cnf(c_341,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ temp(A,D)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_224,c_436]) ).
cnf(c_437,plain,
( ~ val(C,D)
| ~ val(c420,bmw_0)
| ~ temp(A,B)
| ~ sub(C,jahr__1_1)
| ~ sub(c420,name_1_1)
| ~ has_card_leq(D,int1994)
| ~ attr(B,C)
| ~ agt(A,c419) ),
inference(resolve,[status(thm)],[c_341,c_221]) ).
cnf(c_438,plain,
( ~ val(C,D)
| ~ val(c420,bmw_0)
| ~ temp(A,B)
| ~ sub(C,jahr__1_1)
| ~ has_card_leq(D,int1994)
| ~ attr(B,C)
| ~ agt(A,c419) ),
inference(resolve,[status(thm)],[c_223,c_437]) ).
cnf(c_342,plain,
( ~ val(C,D)
| ~ temp(A,B)
| ~ sub(C,jahr__1_1)
| ~ has_card_leq(D,int1994)
| ~ attr(B,C)
| ~ agt(A,c419) ),
inference(resolve,[status(thm)],[c_224,c_438]) ).
cnf(c_439,plain,
( ~ val(c518,B)
| ~ temp(A,c517)
| ~ sub(c518,jahr__1_1)
| ~ has_card_leq(B,int1994)
| ~ agt(A,c419) ),
inference(resolve,[status(thm)],[c_229,c_342]) ).
cnf(c_399,plain,
( ~ val(c518,B)
| ~ temp(A,c517)
| ~ has_card_leq(B,int1994)
| ~ agt(A,c419) ),
inference(resolve,[status(thm)],[c_230,c_439]) ).
cnf(c_440,plain,
( ~ val(c518,A)
| ~ temp(c519,c517)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_399,c_232]) ).
cnf(c_419,plain,
( ~ val(c518,A)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_235,c_440]) ).
cnf(c_423,plain,
~ has_card_leq(c508,int1994),
inference(resolve,[status(thm)],[c_419,c_231]) ).
cnf(c_441,plain,
~ card(c508,int1994),
inference(resolve,[status(thm)],[c_423,c_152]) ).
cnf(c_433,plain,
$false,
inference(resolve,[status(thm)],[c_328,c_441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR115+48 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:09:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2614527 was started by sandbox2 on n019,
% 0.09/0.37 % Sun Sep 27 01:09:34 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.48/0.57
% 0.48/0.57 % SInE (scan): 77 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10086 zapped, of 10188 axioms (depth 3).
% 0.48/0.57
% 0.48/0.57 % From the command line: assign(max_seconds, 300).
% 0.48/0.57
% 0.48/0.57 % SZS status Theorem for theBenchmark
% 0.48/0.57
% 0.48/0.57 % Proof 1 at 0.08 (+ 0.04) seconds.
% 0.48/0.57 % Length of proof is 21.
% 0.48/0.57 % Level of proof is 7.
% 0.48/0.57 % Maximum clause weight is 41.000.
% 0.48/0.57 % Given clauses 72.
% 0.48/0.57
% 0.48/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------