%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR113+9 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:15:29 PM UTC 2026
% Result : Theorem 1.85s 2.04s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 258 ( 12 avg)
% Number of connectives : 344 ( 40 ~; 31 |; 271 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 258 ( 14 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-12 aty)
% Number of functors : 61 ( 61 usr; 59 con; 0-3 aty)
% Number of variables : 57 ( 14 sgn 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(synth_qa07_003_mira_wp_176,conjecture,
? [X1,X2,X3,X4] :
( attr(X2,X1)
& scar(X3,X4)
& sub(X1,name_1_1)
& val(X1,usa_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_003_mira_wp_176) ).
fof(ave07_era5_synth_qa07_003_mira_wp_176,hypothesis,
( sub(c17877,freiheitsstatue_1_1)
& attr(c17884,c17885)
& sub(c17884,stadt__1_1)
& sub(c17885,name_1_1)
& val(c17885,new_york_0)
& sub(c17888,fackel_1_1)
& sub(c17893,buch__1_1)
& sub(c17899,zeichen_1_1)
& attr(c17910,c17911)
& sub(c17910,land_1_1)
& sub(c17911,name_1_1)
& val(c17911,usa_0)
& pred(c17913,b__374rger__1_1)
& sub(c17919,zugang_1_1)
& subs(c17925,bildung_1_1)
& subs(c17930,erreichen_2_1)
& attr(c17940,c17941)
& sub(c17940,stadt__1_1)
& sub(c17941,name_1_1)
& val(c17941,wissen_0)
& tupl_p12(c18018,c17877,c17884,c17888,c17893,c17899,c17910,c17913,c17919,c17925,c17930,c17940)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& sort(c17877,d)
& card(c17877,int1)
& etype(c17877,int0)
& fact(c17877,real)
& gener(c17877,sp)
& quant(c17877,one)
& refer(c17877,det)
& varia(c17877,con)
& sort(freiheitsstatue_1_1,d)
& card(freiheitsstatue_1_1,int1)
& etype(freiheitsstatue_1_1,int0)
& fact(freiheitsstatue_1_1,real)
& gener(freiheitsstatue_1_1,ge)
& quant(freiheitsstatue_1_1,one)
& refer(freiheitsstatue_1_1,refer_c)
& varia(freiheitsstatue_1_1,varia_c)
& sort(c17884,d)
& sort(c17884,io)
& card(c17884,int1)
& etype(c17884,int0)
& fact(c17884,real)
& gener(c17884,sp)
& quant(c17884,one)
& refer(c17884,det)
& varia(c17884,con)
& sort(c17885,na)
& card(c17885,int1)
& etype(c17885,int0)
& fact(c17885,real)
& gener(c17885,sp)
& quant(c17885,one)
& refer(c17885,indet)
& varia(c17885,varia_c)
& sort(stadt__1_1,d)
& sort(stadt__1_1,io)
& card(stadt__1_1,int1)
& etype(stadt__1_1,int0)
& fact(stadt__1_1,real)
& gener(stadt__1_1,ge)
& quant(stadt__1_1,one)
& refer(stadt__1_1,refer_c)
& varia(stadt__1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c)
& varia(name_1_1,varia_c)
& sort(new_york_0,fe)
& sort(c17888,d)
& card(c17888,int1)
& etype(c17888,int0)
& fact(c17888,real)
& gener(c17888,sp)
& quant(c17888,one)
& refer(c17888,indet)
& varia(c17888,varia_c)
& sort(fackel_1_1,d)
& card(fackel_1_1,int1)
& etype(fackel_1_1,int0)
& fact(fackel_1_1,real)
& gener(fackel_1_1,ge)
& quant(fackel_1_1,one)
& refer(fackel_1_1,refer_c)
& varia(fackel_1_1,varia_c)
& sort(c17893,d)
& sort(c17893,io)
& card(c17893,int1)
& etype(c17893,int0)
& fact(c17893,real)
& gener(c17893,sp)
& quant(c17893,one)
& refer(c17893,indet)
& varia(c17893,varia_c)
& sort(buch__1_1,d)
& sort(buch__1_1,io)
& card(buch__1_1,int1)
& etype(buch__1_1,int0)
& fact(buch__1_1,real)
& gener(buch__1_1,ge)
& quant(buch__1_1,one)
& refer(buch__1_1,refer_c)
& varia(buch__1_1,varia_c)
& sort(c17899,io)
& card(c17899,int1)
& etype(c17899,int0)
& fact(c17899,real)
& gener(c17899,sp)
& quant(c17899,one)
& refer(c17899,det)
& varia(c17899,con)
& sort(zeichen_1_1,io)
& card(zeichen_1_1,int1)
& etype(zeichen_1_1,int0)
& fact(zeichen_1_1,real)
& gener(zeichen_1_1,ge)
& quant(zeichen_1_1,one)
& refer(zeichen_1_1,refer_c)
& varia(zeichen_1_1,varia_c)
& sort(c17910,d)
& sort(c17910,io)
& card(c17910,int1)
& etype(c17910,int0)
& fact(c17910,real)
& gener(c17910,sp)
& quant(c17910,one)
& refer(c17910,det)
& varia(c17910,con)
& sort(c17911,na)
& card(c17911,int1)
& etype(c17911,int0)
& fact(c17911,real)
& gener(c17911,sp)
& quant(c17911,one)
& refer(c17911,indet)
& varia(c17911,varia_c)
& sort(land_1_1,d)
& sort(land_1_1,io)
& card(land_1_1,int1)
& etype(land_1_1,int0)
& fact(land_1_1,real)
& gener(land_1_1,ge)
& quant(land_1_1,one)
& refer(land_1_1,refer_c)
& varia(land_1_1,varia_c)
& sort(usa_0,fe)
& sort(c17913,d)
& card(c17913,cons(x_constant,cons(int1,nil)))
& etype(c17913,int1)
& fact(c17913,real)
& gener(c17913,gener_c)
& quant(c17913,all)
& refer(c17913,det)
& varia(c17913,con)
& sort(b__374rger__1_1,d)
& card(b__374rger__1_1,int1)
& etype(b__374rger__1_1,int0)
& fact(b__374rger__1_1,real)
& gener(b__374rger__1_1,ge)
& quant(b__374rger__1_1,one)
& refer(b__374rger__1_1,refer_c)
& varia(b__374rger__1_1,varia_c)
& sort(c17919,d)
& card(c17919,int1)
& etype(c17919,int0)
& fact(c17919,real)
& gener(c17919,gener_c)
& quant(c17919,one)
& refer(c17919,refer_c)
& varia(c17919,varia_c)
& sort(zugang_1_1,d)
& card(zugang_1_1,int1)
& etype(zugang_1_1,int0)
& fact(zugang_1_1,real)
& gener(zugang_1_1,ge)
& quant(zugang_1_1,one)
& refer(zugang_1_1,refer_c)
& varia(zugang_1_1,varia_c)
& sort(c17925,ad)
& card(c17925,int1)
& etype(c17925,int0)
& fact(c17925,real)
& gener(c17925,sp)
& quant(c17925,one)
& refer(c17925,det)
& varia(c17925,con)
& sort(bildung_1_1,ad)
& card(bildung_1_1,int1)
& etype(bildung_1_1,int0)
& fact(bildung_1_1,real)
& gener(bildung_1_1,ge)
& quant(bildung_1_1,one)
& refer(bildung_1_1,refer_c)
& varia(bildung_1_1,varia_c)
& sort(c17930,ad)
& card(c17930,int1)
& etype(c17930,int0)
& fact(c17930,real)
& gener(c17930,sp)
& quant(c17930,one)
& refer(c17930,det)
& varia(c17930,con)
& sort(erreichen_2_1,ad)
& card(erreichen_2_1,int1)
& etype(erreichen_2_1,int0)
& fact(erreichen_2_1,real)
& gener(erreichen_2_1,ge)
& quant(erreichen_2_1,one)
& refer(erreichen_2_1,refer_c)
& varia(erreichen_2_1,varia_c)
& sort(c17940,d)
& sort(c17940,io)
& card(c17940,int1)
& etype(c17940,int0)
& fact(c17940,real)
& gener(c17940,sp)
& quant(c17940,one)
& refer(c17940,det)
& varia(c17940,con)
& sort(c17941,na)
& card(c17941,int1)
& etype(c17941,int0)
& fact(c17941,real)
& gener(c17941,sp)
& quant(c17941,one)
& refer(c17941,indet)
& varia(c17941,varia_c)
& sort(wissen_0,fe)
& sort(c18018,ent)
& card(c18018,card_c)
& etype(c18018,etype_c)
& fact(c18018,real)
& gener(c18018,gener_c)
& quant(c18018,quant_c)
& refer(c18018,refer_c)
& varia(c18018,varia_c)
& sort(freiheit_1_1,as)
& sort(freiheit_1_1,io)
& card(freiheit_1_1,int1)
& etype(freiheit_1_1,int0)
& fact(freiheit_1_1,real)
& gener(freiheit_1_1,ge)
& quant(freiheit_1_1,one)
& refer(freiheit_1_1,refer_c)
& varia(freiheit_1_1,varia_c)
& sort(statue_1_1,d)
& card(statue_1_1,int1)
& etype(statue_1_1,int0)
& fact(statue_1_1,real)
& gener(statue_1_1,ge)
& quant(statue_1_1,one)
& refer(statue_1_1,refer_c)
& varia(statue_1_1,varia_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_176) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
! [X1,X2,X3] :
( ( attr(X3,X1)
& member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& sub(X1,X2) )
=> ? [X4] :
( mcont(X4,X3)
& obj(X4,X3)
& scar(X4,X3)
& subs(X4,stehen_1_b) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(member_second,axiom,
! [X1,X2,X3] :
( member(X1,X3)
=> member(X1,cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_second) ).
fof(member_first,axiom,
! [X1,X2] : member(X1,cons(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_first) ).
fof(c_0_5,negated_conjecture,
~ ? [X1,X2,X3,X4] :
( attr(X2,X1)
& scar(X3,X4)
& sub(X1,name_1_1)
& val(X1,usa_0) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_176]) ).
fof(c_0_6,negated_conjecture,
! [X409,X410,X411,X412] :
( ~ attr(X410,X409)
| ~ scar(X411,X412)
| ~ sub(X409,name_1_1)
| ~ val(X409,usa_0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_7,negated_conjecture,
( ~ attr(X1,X2)
| ~ scar(X3,X4)
| ~ sub(X2,name_1_1)
| ~ val(X2,usa_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,hypothesis,
val(c17911,usa_0),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).
cnf(c_0_9,hypothesis,
sub(c17911,name_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).
cnf(c_0_10,negated_conjecture,
( ~ attr(X1,c17911)
| ~ scar(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,hypothesis,
attr(c17910,c17911),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).
fof(c_0_12,plain,
! [X704,X705,X706] :
( ( mcont(esk44_3(X704,X705,X706),X706)
| ~ attr(X706,X704)
| ~ member(X705,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X704,X705) )
& ( obj(esk44_3(X704,X705,X706),X706)
| ~ attr(X706,X704)
| ~ member(X705,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X704,X705) )
& ( scar(esk44_3(X704,X705,X706),X706)
| ~ attr(X706,X704)
| ~ member(X705,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X704,X705) )
& ( subs(esk44_3(X704,X705,X706),stehen_1_b)
| ~ attr(X706,X704)
| ~ member(X705,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X704,X705) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r])])])]) ).
cnf(c_0_13,hypothesis,
~ scar(X1,X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( scar(esk44_3(X1,X2,X3),X3)
| ~ attr(X3,X1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X507,X508,X509] :
( ~ member(X507,X509)
| member(X507,cons(X508,X509)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).
cnf(c_0_16,hypothesis,
( ~ attr(X1,X2)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( member(X1,cons(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,hypothesis,
( ~ attr(X1,X2)
| ~ sub(X2,X3)
| ~ member(X3,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_19,plain,
! [X505,X506] : member(X505,cons(X505,X506)),
inference(variable_rename,[status(thm)],[member_first]) ).
cnf(c_0_20,hypothesis,
( ~ attr(X1,X2)
| ~ sub(X2,X3)
| ~ member(X3,cons(name_1_1,nil)) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_21,plain,
member(X1,cons(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,hypothesis,
( ~ attr(X1,X2)
| ~ sub(X2,name_1_1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,hypothesis,
attr(c17940,c17941),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).
cnf(c_0_24,hypothesis,
sub(c17941,name_1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).
cnf(c_0_25,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR113+9 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n005.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 17:04:30 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.85/2.04 % Version : CSE_E---1.7
% 1.85/2.04 % Problem : theBenchmark.p
% 1.85/2.04 % SZS status Theorem for theBenchmark.p
% 1.85/2.04 % SZS output start CNFRefutation
% See solution above
% 1.85/2.05 % Total time : 1.661s
%------------------------------------------------------------------------------