%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR113+10 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 04:15:25 PM UTC 2026
% Result : Theorem 1.75s 2.04s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 434 ( 0 equ)
% Maximal formula atoms : 299 ( 13 avg)
% Number of connectives : 483 ( 81 ~; 72 |; 327 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 299 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-11 aty)
% Number of functors : 65 ( 65 usr; 61 con; 0-3 aty)
% Number of variables : 91 ( 9 sgn 19 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(synth_qa07_003_mira_wp_178_a270,conjecture,
? [X1,X2,X3,X4,X5] :
( flp(X1,X3)
& attr(X3,X2)
& loc(X4,X1)
& scar(X4,X5)
& sub(X2,name_1_1)
& subs(X4,stehen_1_1)
& val(X2,usa_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_003_mira_wp_178_a270) ).
fof(state_adjective__in_state,axiom,
! [X1,X2,X3] :
( ( prop(X1,X2)
& state_adjective_state_binding(X2,X3) )
=> ? [X4,X5,X6] :
( in(X6,X4)
& attr(X4,X5)
& loc(X1,X6)
& sub(X4,land_1_1)
& sub(X5,name_1_1)
& val(X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',state_adjective__in_state) ).
fof(local_function___flp,axiom,
! [X1,X2] :
( ( in(X1,X2)
| an(X1,X2)
| bei(X1,X2) )
=> flp(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',local_function___flp) ).
fof(loc__stehen_1_1_loc,axiom,
! [X1,X2] :
( loc(X1,X2)
=> ? [X3] :
( loc(X3,X2)
& scar(X3,X1)
& subs(X3,stehen_1_1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',loc__stehen_1_1_loc) ).
fof(fact_8825,axiom,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',fact_8825) ).
fof(ave07_era5_synth_qa07_003_mira_wp_178_a270,hypothesis,
( assoc(bundeland_1_1,bund_2_1)
& sub(bundeland_1_1,gebietsinstitution_1_1)
& sub(bundeland_1_1,land_1_1)
& assoc(bunderegierung_1_1,bund_1_1)
& sub(bunderegierung_1_1,regierung_1_1)
& sub(c81293,freiheitsstatue_1_1)
& sub(c81332,insel__1_1)
& attr(c81339,c81340)
& sub(c81339,insel__1_1)
& sub(c81340,name_1_1)
& val(c81340,liberty_island_0)
& prop(c81355,amerikanisch__1_1)
& sub(c81355,bunderegierung_1_1)
& sub(c81366,national_2_1)
& sub(c81368,park__1_1)
& subs(c81373,service_1_1)
& sub(c81378,enklave_1_1)
& sub(c81395,bezirk__1_1)
& attch(c81401,c81395)
& attr(c81401,c81402)
& sub(c81401,land_1_1)
& sub(c81402,name_1_1)
& val(c81402,usa_0)
& attr(c81409,c81410)
& sub(c81409,bundeland_1_1)
& sub(c81410,name_1_1)
& val(c81410,new_jersey_0)
& tupl_p11(c81513,c81293,c81332,c81339,c81355,c81366,c81368,c81373,c81378,c81395,c81409)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& sort(bundeland_1_1,d)
& sort(bundeland_1_1,io)
& card(bundeland_1_1,int1)
& etype(bundeland_1_1,int0)
& fact(bundeland_1_1,real)
& gener(bundeland_1_1,ge)
& quant(bundeland_1_1,one)
& refer(bundeland_1_1,refer_c)
& varia(bundeland_1_1,varia_c)
& sort(bund_2_1,d)
& card(bund_2_1,card_c)
& etype(bund_2_1,int1)
& fact(bund_2_1,real)
& gener(bund_2_1,ge)
& quant(bund_2_1,quant_c)
& refer(bund_2_1,refer_c)
& varia(bund_2_1,varia_c)
& sort(gebietsinstitution_1_1,ent)
& card(gebietsinstitution_1_1,card_c)
& etype(gebietsinstitution_1_1,etype_c)
& fact(gebietsinstitution_1_1,real)
& gener(gebietsinstitution_1_1,gener_c)
& quant(gebietsinstitution_1_1,quant_c)
& refer(gebietsinstitution_1_1,refer_c)
& varia(gebietsinstitution_1_1,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(bunderegierung_1_1,d)
& sort(bunderegierung_1_1,io)
& card(bunderegierung_1_1,card_c)
& etype(bunderegierung_1_1,int1)
& fact(bunderegierung_1_1,real)
& gener(bunderegierung_1_1,ge)
& quant(bunderegierung_1_1,quant_c)
& refer(bunderegierung_1_1,refer_c)
& varia(bunderegierung_1_1,varia_c)
& sort(bund_1_1,d)
& sort(bund_1_1,io)
& card(bund_1_1,card_c)
& etype(bund_1_1,int1)
& fact(bund_1_1,real)
& gener(bund_1_1,ge)
& quant(bund_1_1,quant_c)
& refer(bund_1_1,refer_c)
& varia(bund_1_1,varia_c)
& sort(regierung_1_1,d)
& sort(regierung_1_1,io)
& card(regierung_1_1,card_c)
& etype(regierung_1_1,int1)
& fact(regierung_1_1,real)
& gener(regierung_1_1,ge)
& quant(regierung_1_1,quant_c)
& refer(regierung_1_1,refer_c)
& varia(regierung_1_1,varia_c)
& sort(c81293,d)
& card(c81293,int1)
& etype(c81293,int0)
& fact(c81293,real)
& gener(c81293,sp)
& quant(c81293,one)
& refer(c81293,det)
& varia(c81293,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(c81332,d)
& card(c81332,int1)
& etype(c81332,int0)
& fact(c81332,real)
& gener(c81332,sp)
& quant(c81332,one)
& refer(c81332,det)
& varia(c81332,con)
& sort(insel__1_1,d)
& card(insel__1_1,int1)
& etype(insel__1_1,int0)
& fact(insel__1_1,real)
& gener(insel__1_1,ge)
& quant(insel__1_1,one)
& refer(insel__1_1,refer_c)
& varia(insel__1_1,varia_c)
& sort(c81339,d)
& card(c81339,int1)
& etype(c81339,int0)
& fact(c81339,real)
& gener(c81339,sp)
& quant(c81339,one)
& refer(c81339,det)
& varia(c81339,con)
& sort(c81340,na)
& card(c81340,int1)
& etype(c81340,int0)
& fact(c81340,real)
& gener(c81340,sp)
& quant(c81340,one)
& refer(c81340,indet)
& varia(c81340,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(liberty_island_0,fe)
& sort(c81355,d)
& sort(c81355,io)
& card(c81355,int1)
& etype(c81355,int1)
& fact(c81355,real)
& gener(c81355,sp)
& quant(c81355,one)
& refer(c81355,det)
& varia(c81355,con)
& sort(amerikanisch__1_1,nq)
& sort(c81366,o)
& card(c81366,int1)
& etype(c81366,int0)
& fact(c81366,real)
& gener(c81366,sp)
& quant(c81366,one)
& refer(c81366,det)
& varia(c81366,con)
& sort(national_2_1,o)
& card(national_2_1,int1)
& etype(national_2_1,int0)
& fact(national_2_1,real)
& gener(national_2_1,ge)
& quant(national_2_1,one)
& refer(national_2_1,refer_c)
& varia(national_2_1,varia_c)
& sort(c81368,d)
& card(c81368,int1)
& etype(c81368,int0)
& fact(c81368,real)
& gener(c81368,gener_c)
& quant(c81368,one)
& refer(c81368,refer_c)
& varia(c81368,varia_c)
& sort(park__1_1,d)
& card(park__1_1,int1)
& etype(park__1_1,int0)
& fact(park__1_1,real)
& gener(park__1_1,ge)
& quant(park__1_1,one)
& refer(park__1_1,refer_c)
& varia(park__1_1,varia_c)
& sort(c81373,ad)
& card(c81373,int1)
& etype(c81373,int0)
& fact(c81373,real)
& gener(c81373,gener_c)
& quant(c81373,one)
& refer(c81373,refer_c)
& varia(c81373,varia_c)
& sort(service_1_1,ad)
& card(service_1_1,int1)
& etype(service_1_1,int0)
& fact(service_1_1,real)
& gener(service_1_1,ge)
& quant(service_1_1,one)
& refer(service_1_1,refer_c)
& varia(service_1_1,varia_c)
& sort(c81378,d)
& card(c81378,int1)
& etype(c81378,int0)
& fact(c81378,real)
& gener(c81378,gener_c)
& quant(c81378,one)
& refer(c81378,refer_c)
& varia(c81378,varia_c)
& sort(enklave_1_1,d)
& card(enklave_1_1,int1)
& etype(enklave_1_1,int0)
& fact(enklave_1_1,real)
& gener(enklave_1_1,ge)
& quant(enklave_1_1,one)
& refer(enklave_1_1,refer_c)
& varia(enklave_1_1,varia_c)
& sort(c81395,d)
& card(c81395,int1)
& etype(c81395,int0)
& fact(c81395,real)
& gener(c81395,sp)
& quant(c81395,one)
& refer(c81395,det)
& varia(c81395,con)
& sort(bezirk__1_1,d)
& card(bezirk__1_1,int1)
& etype(bezirk__1_1,int0)
& fact(bezirk__1_1,real)
& gener(bezirk__1_1,ge)
& quant(bezirk__1_1,one)
& refer(bezirk__1_1,refer_c)
& varia(bezirk__1_1,varia_c)
& sort(c81401,d)
& sort(c81401,io)
& card(c81401,int1)
& etype(c81401,int0)
& fact(c81401,real)
& gener(c81401,sp)
& quant(c81401,one)
& refer(c81401,det)
& varia(c81401,con)
& sort(c81402,na)
& card(c81402,int1)
& etype(c81402,int0)
& fact(c81402,real)
& gener(c81402,sp)
& quant(c81402,one)
& refer(c81402,indet)
& varia(c81402,varia_c)
& sort(usa_0,fe)
& sort(c81409,d)
& sort(c81409,io)
& card(c81409,int1)
& etype(c81409,int0)
& fact(c81409,real)
& gener(c81409,sp)
& quant(c81409,one)
& refer(c81409,det)
& varia(c81409,con)
& sort(c81410,na)
& card(c81410,int1)
& etype(c81410,int0)
& fact(c81410,real)
& gener(c81410,sp)
& quant(c81410,one)
& refer(c81410,indet)
& varia(c81410,varia_c)
& sort(new_jersey_0,fe)
& sort(c81513,ent)
& card(c81513,card_c)
& etype(c81513,etype_c)
& fact(c81513,real)
& gener(c81513,gener_c)
& quant(c81513,quant_c)
& refer(c81513,refer_c)
& varia(c81513,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/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_178_a270) ).
fof(c_0_6,negated_conjecture,
~ ? [X1,X2,X3,X4,X5] :
( flp(X1,X3)
& attr(X3,X2)
& loc(X4,X1)
& scar(X4,X5)
& sub(X2,name_1_1)
& subs(X4,stehen_1_1)
& val(X2,usa_0) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_178_a270]) ).
fof(c_0_7,negated_conjecture,
! [X411,X412,X413,X414,X415] :
( ~ flp(X411,X413)
| ~ attr(X413,X412)
| ~ loc(X414,X411)
| ~ scar(X414,X415)
| ~ sub(X412,name_1_1)
| ~ subs(X414,stehen_1_1)
| ~ val(X412,usa_0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_8,plain,
! [X440,X441,X442] :
( ( in(esk9_3(X440,X441,X442),esk7_3(X440,X441,X442))
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) )
& ( attr(esk7_3(X440,X441,X442),esk8_3(X440,X441,X442))
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) )
& ( loc(X440,esk9_3(X440,X441,X442))
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) )
& ( sub(esk7_3(X440,X441,X442),land_1_1)
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) )
& ( sub(esk8_3(X440,X441,X442),name_1_1)
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) )
& ( val(esk8_3(X440,X441,X442),X442)
| ~ prop(X440,X441)
| ~ state_adjective_state_binding(X441,X442) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[state_adjective__in_state])])])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ flp(X1,X2)
| ~ attr(X2,X3)
| ~ loc(X4,X1)
| ~ scar(X4,X5)
| ~ sub(X3,name_1_1)
| ~ subs(X4,stehen_1_1)
| ~ val(X3,usa_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( val(esk8_3(X1,X2,X3),X3)
| ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( sub(esk8_3(X1,X2,X3),name_1_1)
| ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ attr(X3,esk8_3(X2,X1,usa_0))
| ~ flp(X4,X3)
| ~ scar(X5,X6)
| ~ loc(X5,X4)
| ~ subs(X5,stehen_1_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_13,plain,
( attr(esk7_3(X1,X2,X3),esk8_3(X1,X2,X3))
| ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X491,X492] :
( ( ~ in(X491,X492)
| flp(X491,X492) )
& ( ~ an(X491,X492)
| flp(X491,X492) )
& ( ~ bei(X491,X492)
| flp(X491,X492) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[local_function___flp])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ flp(X3,esk7_3(X2,X1,usa_0))
| ~ scar(X4,X5)
| ~ loc(X4,X3)
| ~ subs(X4,stehen_1_1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( flp(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ in(X3,esk7_3(X2,X1,usa_0))
| ~ scar(X4,X5)
| ~ loc(X4,X3)
| ~ subs(X4,stehen_1_1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( in(esk9_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_19,plain,
! [X457,X458] :
( ( loc(esk12_2(X457,X458),X458)
| ~ loc(X457,X458) )
& ( scar(esk12_2(X457,X458),X457)
| ~ loc(X457,X458) )
& ( subs(esk12_2(X457,X458),stehen_1_1)
| ~ loc(X457,X458) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc])])])]) ).
cnf(c_0_20,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ scar(X3,X4)
| ~ loc(X3,esk9_3(X2,X1,usa_0))
| ~ subs(X3,stehen_1_1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( loc(esk12_2(X1,X2),X2)
| ~ loc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( subs(esk12_2(X1,X2),stehen_1_1)
| ~ loc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ scar(esk12_2(X3,esk9_3(X2,X1,usa_0)),X4)
| ~ loc(X3,esk9_3(X2,X1,usa_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
( scar(esk12_2(X1,X2),X1)
| ~ loc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1)
| ~ loc(X3,esk9_3(X2,X1,usa_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( loc(X1,esk9_3(X1,X2,X3))
| ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( ~ state_adjective_state_binding(X1,usa_0)
| ~ prop(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
inference(split_conjunct,[status(thm)],[fact_8825]) ).
cnf(c_0_29,hypothesis,
prop(c81355,amerikanisch__1_1),
inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_178_a270]) ).
cnf(c_0_30,negated_conjecture,
~ prop(X1,amerikanisch__1_1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_29,c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR113+10 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n026.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 17:02:53 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.75/2.04 % Version : CSE_E---1.7
% 1.75/2.04 % Problem : theBenchmark.p
% 1.75/2.04 % SZS status Theorem for theBenchmark.p
% 1.75/2.04 % SZS output start CNFRefutation
% See solution above
% 1.75/2.04 % Total time : 1.662s
%------------------------------------------------------------------------------