%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+30 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:07:42 AM UTC 2026
% Result : Theorem 0.33s 0.51s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 131 ( 10 avg)
% Number of connectives : 191 ( 29 ~; 21 |; 140 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 131 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 43 ( 43 usr; 43 con; 0-0 aty)
% Number of variables : 46 ( 20 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_news_1206,axiom,
( 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('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1206) ).
fof(synth_qa07_007_mira_news_1206,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('theBenchmark.p',synth_qa07_007_mira_news_1206) ).
fof(synth_qa07_007_mira_news_1206_neg,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(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1206]) ).
cnf(c_121,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_166,plain,
attr(c78,c79),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1206]) ).
cnf(c_167,plain,
sub(c79,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1206]) ).
cnf(c_168,plain,
val(c79,c74),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1206]) ).
cnf(c_270,plain,
card(c74,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1206]) ).
cnf(c_293,negated_conjecture,
( ~ val(F,V6)
| ~ sub(F,jahr__1_1)
| ~ has_card_leq(V6,int1994)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1206_neg]) ).
cnf(c_430,plain,
( ~ val(V6,A)
| ~ sub(V6,jahr__1_1)
| ~ attr(F,V6)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ card(A,int1994) ),
inference(resolve,[status(thm)],[c_121,c_293]) ).
cnf(c_476,plain,
( ~ val(c79,A)
| ~ sub(c79,jahr__1_1)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ card(A,int1994) ),
inference(resolve,[status(thm)],[c_166,c_430]) ).
cnf(c_434,plain,
( ~ val(c79,A)
| ~ attr(D,E)
| ~ attr(B,C)
| ~ card(A,int1994) ),
inference(resolve,[status(thm)],[c_167,c_476]) ).
cnf(c_477,plain,
( ~ val(c79,A)
| ~ attr(B,C)
| ~ card(A,int1994) ),
inference(resolve,[status(thm)],[c_434,c_166]) ).
cnf(c_478,plain,
( ~ val(c79,A)
| ~ card(A,int1994) ),
inference(resolve,[status(thm)],[c_477,c_166]) ).
cnf(c_479,plain,
~ card(c74,int1994),
inference(resolve,[status(thm)],[c_478,c_168]) ).
cnf(c_475,plain,
$false,
inference(resolve,[status(thm)],[c_270,c_479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+30 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:10:25 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.37 % Process 2336645 was started by sandbox on n026,
% 0.02/0.37 % Sun Sep 27 01:10:25 2026
% 0.02/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.33/0.51
% 0.33/0.51 % SInE (scan): 64 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10106 zapped, of 10188 axioms (depth 3).
% 0.33/0.51
% 0.33/0.51 % From the command line: assign(max_seconds, 300).
% 0.33/0.51
% 0.33/0.51 % SZS status Theorem for theBenchmark
% 0.33/0.51
% 0.33/0.51 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.33/0.51 % Length of proof is 12.
% 0.33/0.51 % Level of proof is 4.
% 0.33/0.51 % Maximum clause weight is 23.000.
% 0.33/0.51 % Given clauses 58.
% 0.33/0.51
% 0.33/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------