%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+82 : 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 : n004.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 07:07:48 AM UTC 2026
% Result : Theorem 3.85s 16.07s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 101 ( 8 avg)
% Number of connectives : 157 ( 23 ~; 17 |; 116 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 33 con; 0-2 aty)
% Number of variables : 44 ( 9 sgn 12 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(name_rel__attr_val_name_1_1,axiom,
! [X0,X1] :
( name(X1,X0)
=> ? [X2] :
( val(X2,X0)
& sub(X2,name_1_1)
& attr(X1,X2) ) ),
file('theBenchmark.p',name_rel__attr_val_name_1_1) ).
fof(ave07_era5_synth_qa07_007_mira_wp_495,axiom,
( gener(einl__344uten_1_1,ge)
& fact(einl__344uten_1_1,real)
& sort(einl__344uten_1_1,dn)
& varia(c373,con)
& refer(c373,det)
& quant(c373,one)
& gener(c373,sp)
& fact(c373,real)
& etype(c373,int0)
& card(c373,int1)
& sort(c373,l)
& gener(c368,sp)
& fact(c368,real)
& sort(c368,dn)
& varia(bereich_1_1,varia_c)
& refer(bereich_1_1,refer_c)
& quant(bereich_1_1,one)
& gener(bereich_1_1,ge)
& fact(bereich_1_1,real)
& etype(bereich_1_1,int0)
& card(bereich_1_1,int1)
& sort(bereich_1_1,d)
& varia(c364,varia_c)
& refer(c364,refer_c)
& quant(c364,one)
& gener(c364,sp)
& fact(c364,real)
& etype(c364,int0)
& card(c364,int1)
& sort(c364,d)
& varia(mountain_bike_1_1,varia_c)
& refer(mountain_bike_1_1,refer_c)
& quant(mountain_bike_1_1,one)
& gener(mountain_bike_1_1,ge)
& fact(mountain_bike_1_1,real)
& etype(mountain_bike_1_1,int0)
& card(mountain_bike_1_1,int1)
& sort(mountain_bike_1_1,d)
& varia(c362,con)
& refer(c362,det)
& quant(c362,one)
& gener(c362,sp)
& fact(c362,real)
& etype(c362,int0)
& card(c362,int1)
& sort(c362,d)
& sort(freeride_____344ra_0,fe)
& varia(c358,varia_c)
& refer(c358,refer_c)
& quant(c358,one)
& gener(c358,sp)
& fact(c358,hypo)
& etype(c358,int0)
& card(c358,int1)
& sort(c358,o)
& sort(marzocchi_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c342,varia_c)
& refer(c342,indet)
& quant(c342,one)
& gener(c342,sp)
& fact(c342,real)
& etype(c342,int0)
& card(c342,int1)
& sort(c342,na)
& varia(c341,con)
& refer(c341,det)
& quant(c341,one)
& gener(c341,sp)
& fact(c341,real)
& etype(c341,int0)
& card(c341,int1)
& sort(c341,d)
& in(c373,c362)
& subs(c368,einl__344uten_1_1)
& mcont(c368,c358)
& loc(c368,c373)
& exp(c368,c341)
& benf(c368,c364)
& sub(c364,bereich_1_1)
& sub(c362,mountain_bike_1_1)
& name(c358,freeride_____344ra_0)
& val(c342,marzocchi_0)
& sub(c342,familiename_1_1)
& sub(c341,mensch_1_1)
& attr(c341,c342) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_495) ).
fof(synth_qa07_007_mira_wp_495,conjecture,
? [X0,X1,X2,X3,X4,X5] :
( sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X4,X5)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_wp_495) ).
fof(synth_qa07_007_mira_wp_495_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5] :
( sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X4,X5)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_495]) ).
fof(nnf_43,plain,
! [X0,X1] :
( ? [X2] :
( val(X2,X0)
& sub(X2,name_1_1)
& attr(X1,X2) )
| ~ name(X1,X0) ),
inference(fof_nnf,[status(thm)],[name_rel__attr_val_name_1_1]) ).
fof(sk_name_rel__attr_val_name_1_1_sk,plain,
! [X0,X1] :
( ( val(sK0(X0,X1),X0)
& sub(sK0(X0,X1),name_1_1)
& attr(X1,sK0(X0,X1)) )
| ~ name(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_43]) ).
fof(sk_name_rel__attr_val_name_1_1,plain,
( ! [VAR_0,VAR_1] :
( val(sK0(VAR_1,VAR_0),VAR_1)
| ~ name(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( sub(sK0(VAR_1,VAR_0),name_1_1)
| ~ name(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( attr(VAR_0,sK0(VAR_1,VAR_0))
| ~ name(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_name_rel__attr_val_name_1_1_sk]) ).
cnf(c_243,plain,
( attr(A,sK0(B,A))
| ~ name(A,B) ),
inference(split_conjunct,[status(thm)],[sk_name_rel__attr_val_name_1_1]) ).
cnf(c_244,plain,
( sub(sK0(B,A),name_1_1)
| ~ name(A,B) ),
inference(split_conjunct,[status(thm)],[sk_name_rel__attr_val_name_1_1]) ).
cnf(c_249,plain,
attr(c341,c342),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_495]) ).
cnf(c_253,plain,
name(c358,freeride_____344ra_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_495]) ).
cnf(c_350,negated_conjecture,
( ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_495_neg]) ).
cnf(c_587,plain,
( ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_249,c_350]) ).
cnf(c_4539,plain,
attr(c358,sK0(freeride_____344ra_0,c358)),
inference(resolve,[status(thm)],[c_243,c_253]) ).
cnf(c_4662,plain,
sub(sK0(freeride_____344ra_0,c358),name_1_1),
inference(resolve,[status(thm)],[c_244,c_253]) ).
cnf(c_4786,plain,
( ~ sub(sK0(freeride_____344ra_0,c358),name_1_1)
| ~ sub(B,name_1_1)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_587,c_4539]) ).
cnf(c_4787,plain,
( ~ sub(sK0(freeride_____344ra_0,c358),name_1_1)
| ~ attr(A,sK0(freeride_____344ra_0,c358)) ),
inference(resolve,[status(thm)],[c_4786,c_4662]) ).
cnf(c_4784,plain,
~ attr(A,sK0(freeride_____344ra_0,c358)),
inference(resolve,[status(thm)],[c_4787,c_4662]) ).
cnf(c_4785,plain,
$false,
inference(resolve,[status(thm)],[c_4784,c_4539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+82 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.40 % Computer : n004.cluster.edu
% 0.10/15.40 % Model : x86_64 x86_64
% 0.10/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.40 % Memory : 8046.5625MB
% 0.10/15.40 % OS : Linux 6.8.0-71-generic
% 0.10/15.40 % CPULimit : 300
% 0.10/15.40 % WCLimit : 300
% 0.10/15.40 % DateTime : Sun Sep 27 01:12:22 UTC 2026
% 0.15/15.40 % CPUTime :
% 0.15/15.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/15.40 % Process 3009972 was started by sandbox2 on n004,
% 0.15/15.40 % Sun Sep 27 01:12:22 2026
% 0.15/15.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.85/16.07
% 3.85/16.07 % SInE (scan): 74 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10086 zapped, of 10188 axioms (depth 3).
% 3.85/16.07
% 3.85/16.07 % From the command line: assign(max_seconds, 300).
% 3.85/16.07
% 3.85/16.07 % given #500 (F,wt=12): 1541 -sub(c342,c341) | -agt(A,mensch_1_1) | -ctxt(A,B) | -sub(B,name_1_1). [resolve(1498,a,126,d)].
% 3.85/16.07
% 3.85/16.07 % SZS status Theorem for theBenchmark
% 3.85/16.07
% 3.85/16.07 % Proof 1 at 0.47 (+ 0.08) seconds.
% 3.85/16.07 % Length of proof is 13.
% 3.85/16.07 % Level of proof is 4.
% 3.85/16.07 % Maximum clause weight is 15.000.
% 3.85/16.07 % Given clauses 658.
% 3.85/16.07
% 3.85/16.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------