%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+20 : 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 : n008.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 07:07:33 AM UTC 2026
% Result : Theorem 0.13s 11.06s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 177 ( 9 avg)
% Number of connectives : 269 ( 40 ~; 31 |; 196 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 177 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 51 con; 0-3 aty)
% Number of variables : 68 ( 19 sgn 26 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(ave07_era5_synth_qa07_003_mira_wp_231_a19713,axiom,
( varia(statue_1_1,varia_c)
& refer(statue_1_1,refer_c)
& quant(statue_1_1,one)
& gener(statue_1_1,ge)
& fact(statue_1_1,real)
& etype(statue_1_1,int0)
& card(statue_1_1,int1)
& sort(statue_1_1,d)
& gener(gehen_1_2,ge)
& fact(gehen_1_2,real)
& sort(gehen_1_2,dn)
& varia(c3577,varia_c)
& refer(c3577,refer_c)
& quant(c3577,one)
& gener(c3577,sp)
& fact(c3577,real)
& etype(c3577,int0)
& card(c3577,int1)
& sort(c3577,l)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& varia(verhei__337ung_1_1,varia_c)
& refer(verhei__337ung_1_1,refer_c)
& quant(verhei__337ung_1_1,one)
& gener(verhei__337ung_1_1,ge)
& fact(verhei__337ung_1_1,real)
& etype(verhei__337ung_1_1,int0)
& card(verhei__337ung_1_1,int1)
& sort(verhei__337ung_1_1,as)
& varia(c3563,varia_c)
& refer(c3563,det)
& quant(c3563,one)
& gener(c3563,sp)
& fact(c3563,real)
& etype(c3563,int0)
& card(c3563,int1)
& sort(c3563,as)
& varia(freiheitsstatue_1_1,varia_c)
& refer(freiheitsstatue_1_1,refer_c)
& quant(freiheitsstatue_1_1,one)
& gener(freiheitsstatue_1_1,ge)
& fact(freiheitsstatue_1_1,real)
& etype(freiheitsstatue_1_1,int0)
& card(freiheitsstatue_1_1,int1)
& sort(freiheitsstatue_1_1,d)
& varia(c3569,varia_c)
& refer(c3569,det)
& quant(c3569,one)
& gener(c3569,sp)
& fact(c3569,real)
& etype(c3569,int0)
& card(c3569,int1)
& sort(c3569,io)
& sort(c3569,as)
& gener(ansehen_2_3,ge)
& fact(ansehen_2_3,real)
& sort(ansehen_2_3,st)
& gener(c7,sp)
& fact(c7,real)
& sort(c7,dn)
& varia(c3558,con)
& refer(c3558,det)
& quant(c3558,one)
& gener(c3558,sp)
& fact(c3558,real)
& etype(c3558,int0)
& card(c3558,int1)
& sort(c3558,d)
& gener(c3575,sp)
& fact(c3575,hypo)
& sort(c3575,st)
& gener(c3446,sp)
& fact(c3446,real)
& sort(c3446,st)
& varia(bord_1_1,varia_c)
& refer(bord_1_1,refer_c)
& quant(bord_1_1,one)
& gener(bord_1_1,ge)
& fact(bord_1_1,real)
& etype(bord_1_1,int0)
& card(bord_1_1,int1)
& sort(bord_1_1,d)
& varia(c3439,varia_c)
& refer(c3439,refer_c)
& quant(c3439,one)
& gener(c3439,sp)
& fact(c3439,real)
& etype(c3439,int0)
& card(c3439,int1)
& sort(c3439,d)
& varia(mauskewitz_1_1,varia_c)
& refer(mauskewitz_1_1,refer_c)
& quant(mauskewitz_1_1,one)
& gener(mauskewitz_1_1,ge)
& fact(mauskewitz_1_1,real)
& etype(mauskewitz_1_1,int0)
& card(mauskewitz_1_1,int1)
& sort(mauskewitz_1_1,o)
& varia(c2599,con)
& refer(c2599,det)
& quant(c2599,mult)
& gener(c2599,sp)
& fact(c2599,real)
& etype(c2599,int1)
& card(c2599,cons(x_constant,cons(int1,nil)))
& sort(c2599,o)
& sort(new_york_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(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c2596,varia_c)
& refer(c2596,indet)
& quant(c2596,one)
& gener(c2596,sp)
& fact(c2596,real)
& etype(c2596,int0)
& card(c2596,int1)
& sort(c2596,na)
& varia(c2595,con)
& refer(c2595,det)
& quant(c2595,one)
& gener(c2595,sp)
& fact(c2595,real)
& etype(c2595,int0)
& card(c2595,int1)
& sort(c2595,io)
& sort(c2595,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& subs(c7,gehen_1_2)
& ornt(c7,c2595)
& origl(c7,c3577)
& obj(c7,c2599)
& flp(c3577,c3439)
& subr(c3575,rprs_0)
& arg2(c3575,c3563)
& arg1(c3575,c3558)
& sub(c3569,freiheit_1_1)
& subs(c3563,verhei__337ung_1_1)
& sspe(c3563,c3569)
& sub(c3558,freiheitsstatue_1_1)
& poss(c3558,c3569)
& subs(c3446,ansehen_2_3)
& semrel(c3446,c7)
& obj(c3446,c3558)
& mexp(c3446,c2599)
& mcont(c3446,c3575)
& sub(c3439,bord_1_1)
& pred(c2599,mauskewitz_1_1)
& val(c2596,new_york_0)
& sub(c2596,name_1_1)
& sub(c2595,stadt__1_1)
& attr(c2595,c2596) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_231_a19713) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_003_mira_wp_231_a19713,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& sub(X1,name_1_1)
& scar(X3,X4)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_231_a19713) ).
fof(synth_qa07_003_mira_wp_231_a19713_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& sub(X1,name_1_1)
& scar(X3,X4)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_231_a19713]) ).
fof(nnf_71,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(sK0(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_71]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( scar(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_146,plain,
( scar(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
cnf(c_170,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_171,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_290,plain,
attr(c2595,c2596),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_231_a19713]) ).
cnf(c_292,plain,
sub(c2596,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_231_a19713]) ).
cnf(c_293,plain,
val(c2596,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_231_a19713]) ).
cnf(c_309,plain,
flp(c3577,c3439),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_231_a19713]) ).
cnf(c_465,negated_conjecture,
( ~ val(E,new_york_0)
| ~ sub(E,name_1_1)
| ~ scar(C,D)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_231_a19713_neg]) ).
cnf(c_503,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_171,c_170]) ).
cnf(c_924,negated_conjecture,
( ~ val(c2596,new_york_0)
| ~ scar(C,D)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_292,c_465]) ).
cnf(c_614,negated_conjecture,
( ~ scar(C,D)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_293,c_924]) ).
cnf(c_644,plain,
~ scar(A,B),
inference(resolve,[status(thm)],[c_309,c_614]) ).
cnf(c_654,plain,
( ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_644,c_146]) ).
cnf(c_925,plain,
( ~ sub(c2596,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_654,c_290]) ).
cnf(c_907,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_925,c_292]) ).
cnf(c_926,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_907,c_171]) ).
cnf(c_923,plain,
$false,
inference(resolve,[status(thm)],[c_503,c_926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.54 % Computer : n008.cluster.edu
% 0.08/10.54 % Model : x86_64 x86_64
% 0.08/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.54 % Memory : 8046.5625MB
% 0.08/10.54 % OS : Linux 6.8.0-71-generic
% 0.08/10.54 % CPULimit : 300
% 0.08/10.54 % WCLimit : 300
% 0.08/10.54 % DateTime : Sun Sep 27 01:03:21 UTC 2026
% 0.08/10.54 % CPUTime :
% 0.08/10.54 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/10.54 % Process 722875 was started by sandbox on n008,
% 0.08/10.54 % Sun Sep 27 01:03:21 2026
% 0.08/10.54 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/11.06
% 0.13/11.06 % SInE (scan): 82 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10076 zapped, of 10188 axioms (depth 3).
% 0.13/11.06
% 0.13/11.06 % From the command line: assign(max_seconds, 300).
% 0.13/11.06
% 0.13/11.06 % SZS status Theorem for theBenchmark
% 0.13/11.06
% 0.13/11.06 % Proof 1 at 0.12 (+ 0.05) seconds.
% 0.13/11.06 % Length of proof is 19.
% 0.13/11.06 % Level of proof is 6.
% 0.13/11.06 % Maximum clause weight is 15.000.
% 0.13/11.06 % Given clauses 212.
% 0.13/11.06
% 0.13/11.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------