%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+66 : 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 : n002.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 07:07:46 AM UTC 2026
% Result : Theorem 1.59s 0.73s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 127 ( 8 avg)
% Number of connectives : 272 ( 69 ~; 56 |; 146 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 127 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 45 con; 0-0 aty)
% Number of variables : 42 ( 4 sgn 2 !; 14 ?)
% 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_wp_475_a19984,axiom,
( sort(bmw_0,fe)
& 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(c87,varia_c)
& refer(c87,indet)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,na)
& card(c1,int1994)
& sort(c1,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(c5,varia_c)
& refer(c5,refer_c)
& quant(c5,quant_c)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,etype_c)
& card(c5,card_c)
& sort(c5,ta)
& sort(c5,oa)
& sort(c5,me)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,t)
& gener(n374bernehmen_1_1,ge)
& fact(n374bernehmen_1_1,real)
& sort(n374bernehmen_1_1,da)
& varia(c86,con)
& refer(c86,det)
& quant(c86,one)
& gener(c86,sp)
& fact(c86,real)
& etype(c86,int0)
& card(c86,int1)
& sort(c86,io)
& sort(c86,d)
& gener(c3,sp)
& fact(c3,real)
& sort(c3,da)
& sort(rover_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)
& sort(britisch__1_1,nq)
& varia(c104,varia_c)
& refer(c104,indet)
& quant(c104,one)
& gener(c104,sp)
& fact(c104,real)
& etype(c104,int0)
& card(c104,int1)
& sort(c104,na)
& varia(c103,con)
& refer(c103,det)
& quant(c103,one)
& gener(c103,sp)
& fact(c103,real)
& etype(c103,int0)
& card(c103,int1)
& sort(c103,io)
& sort(c103,d)
& varia(fabrikant_1_1,varia_c)
& refer(fabrikant_1_1,refer_c)
& quant(fabrikant_1_1,one)
& gener(fabrikant_1_1,ge)
& fact(fabrikant_1_1,real)
& etype(fabrikant_1_1,int0)
& card(fabrikant_1_1,int1)
& sort(fabrikant_1_1,io)
& sort(fabrikant_1_1,d)
& sort(automobil_1_1,tq)
& varia(autobauer_1_1,varia_c)
& refer(autobauer_1_1,refer_c)
& quant(autobauer_1_1,one)
& gener(autobauer_1_1,ge)
& fact(autobauer_1_1,real)
& etype(autobauer_1_1,int0)
& card(autobauer_1_1,int1)
& sort(autobauer_1_1,io)
& sort(autobauer_1_1,d)
& val(c87,bmw_0)
& sub(c87,name_1_1)
& sub(c86,firma_1_1)
& attr(c86,c87)
& val(c5,c1)
& sub(c5,jahr__1_1)
& attr(c4,c5)
& temp(c3,c4)
& subs(c3,n374bernehmen_1_1)
& obj(c3,c103)
& agt(c3,c86)
& val(c104,rover_0)
& sub(c104,name_1_1)
& sub(c103,autobauer_1_1)
& prop(c103,britisch__1_1)
& attr(c103,c104)
& sub(autobauer_1_1,fabrikant_1_1)
& assoc(autobauer_1_1,automobil_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_475_a19984) ).
fof(synth_qa07_007_mira_wp_475_a19984,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& val(X1,bmw_0)
& temp(X3,X4)
& subs(X3,n374bernehmen_1_1)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
file('theBenchmark.p',synth_qa07_007_mira_wp_475_a19984) ).
fof(synth_qa07_007_mira_wp_475_a19984_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& val(X1,bmw_0)
& temp(X3,X4)
& subs(X3,n374bernehmen_1_1)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_122,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_185,plain,
agt(c3,c86),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_187,plain,
subs(c3,n374bernehmen_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_188,plain,
temp(c3,c4),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_189,plain,
attr(c4,c5),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_190,plain,
sub(c5,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_191,plain,
val(c5,c1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_192,plain,
attr(c86,c87),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_193,plain,
sub(c86,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_194,plain,
sub(c87,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_195,plain,
val(c87,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_286,plain,
card(c1,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).
cnf(c_305,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ temp(A,D)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ sub(V6,firma_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_475_a19984_neg]) ).
cnf(c_388,negated_conjecture,
( ~ val(C,D)
| ~ val(A,bmw_0)
| ~ temp(c3,B)
| ~ subs(c3,n374bernehmen_1_1)
| ~ sub(C,jahr__1_1)
| ~ sub(A,name_1_1)
| ~ sub(E,firma_1_1)
| ~ has_card_leq(D,int1994)
| ~ attr(B,C)
| ~ attr(c86,A) ),
inference(resolve,[status(thm)],[c_305,c_185]) ).
cnf(c_389,negated_conjecture,
( ~ val(B,C)
| ~ val(c87,bmw_0)
| ~ temp(c3,A)
| ~ subs(c3,n374bernehmen_1_1)
| ~ sub(B,jahr__1_1)
| ~ sub(c87,name_1_1)
| ~ sub(D,firma_1_1)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_388,c_192]) ).
cnf(c_390,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ temp(c3,c4)
| ~ subs(c3,n374bernehmen_1_1)
| ~ sub(c5,jahr__1_1)
| ~ sub(c87,name_1_1)
| ~ sub(B,firma_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_389,c_189]) ).
cnf(c_391,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ temp(c3,c4)
| ~ subs(c3,n374bernehmen_1_1)
| ~ sub(c5,jahr__1_1)
| ~ sub(c87,name_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_390,c_193]) ).
cnf(c_392,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ temp(c3,c4)
| ~ subs(c3,n374bernehmen_1_1)
| ~ sub(c5,jahr__1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_391,c_194]) ).
cnf(c_393,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ temp(c3,c4)
| ~ subs(c3,n374bernehmen_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_392,c_190]) ).
cnf(c_394,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ temp(c3,c4)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_393,c_187]) ).
cnf(c_395,negated_conjecture,
( ~ val(c5,A)
| ~ val(c87,bmw_0)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_394,c_188]) ).
cnf(c_396,negated_conjecture,
( ~ val(c5,A)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_395,c_195]) ).
cnf(c_378,negated_conjecture,
~ has_card_leq(c1,int1994),
inference(resolve,[status(thm)],[c_396,c_191]) ).
cnf(c_397,plain,
~ card(c1,int1994),
inference(resolve,[status(thm)],[c_378,c_122]) ).
cnf(c_387,plain,
$false,
inference(resolve,[status(thm)],[c_286,c_397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 01:13:21 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.46 % Process 3035118 was started by sandbox2 on n002,
% 0.18/0.46 % Sun Sep 27 01:13:21 2026
% 0.18/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.59/0.73
% 1.59/0.73 % SInE (scan): 73 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10094 zapped, of 10188 axioms (depth 3).
% 1.59/0.73
% 1.59/0.73 % From the command line: assign(max_seconds, 300).
% 1.59/0.73
% 1.59/0.73 % SZS status Theorem for theBenchmark
% 1.59/0.73
% 1.59/0.73 % Proof 1 at 0.07 (+ 0.04) seconds.
% 1.59/0.73 % Length of proof is 18.
% 1.59/0.73 % Level of proof is 3.
% 1.59/0.73 % Maximum clause weight is 35.000.
% 1.59/0.73 % Given clauses 79.
% 1.59/0.73
% 1.59/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------