%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+22 : 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 : n011.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 07:07:37 AM UTC 2026
% Result : Theorem 4.83s 1.10s
% Output : CNFRefutation 4.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 315 ( 0 equ)
% Maximal formula atoms : 185 ( 9 avg)
% Number of connectives : 344 ( 64 ~; 53 |; 225 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 185 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 63 ( 63 usr; 58 con; 0-3 aty)
% Number of variables : 95 ( 13 sgn 39 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(loc__stehen_1_1_loc,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) ) ),
file('theBenchmark.p',loc__stehen_1_1_loc) ).
fof(ave07_era5_synth_qa07_004_qapw_61_a281,axiom,
( varia(krieg__1_1,varia_c)
& refer(krieg__1_1,refer_c)
& quant(krieg__1_1,one)
& gener(krieg__1_1,ge)
& fact(krieg__1_1,real)
& etype(krieg__1_1,int0)
& card(krieg__1_1,int1)
& sort(krieg__1_1,ad)
& varia(autonomie__1_1,varia_c)
& refer(autonomie__1_1,refer_c)
& quant(autonomie__1_1,one)
& gener(autonomie__1_1,ge)
& fact(autonomie__1_1,real)
& etype(autonomie__1_1,int0)
& card(autonomie__1_1,int1)
& sort(autonomie__1_1,io)
& sort(autonomie__1_1,as)
& varia(eroberung_1_1,varia_c)
& refer(eroberung_1_1,refer_c)
& quant(eroberung_1_1,one)
& gener(eroberung_1_1,ge)
& fact(eroberung_1_1,real)
& etype(eroberung_1_1,int0)
& card(eroberung_1_1,int1)
& sort(eroberung_1_1,ad)
& card(c88,int1870)
& sort(c88,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)
& card(c89,int9)
& sort(c89,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& varia(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,quant_c)
& gener(c92,sp)
& fact(c92,real)
& etype(c92,etype_c)
& card(c92,card_c)
& sort(c92,ta)
& sort(c92,oa)
& sort(c92,me)
& varia(c91,varia_c)
& refer(c91,det)
& quant(c91,quant_c)
& gener(c91,sp)
& fact(c91,real)
& etype(c91,etype_c)
& card(c91,card_c)
& sort(c91,ta)
& sort(c91,oa)
& sort(c91,me)
& varia(c90,con)
& refer(c90,det)
& quant(c90,one)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& card(c90,int1)
& sort(c90,t)
& gener(enden_1_3,ge)
& fact(enden_1_3,real)
& sort(enden_1_3,st)
& gener(c5,sp)
& fact(c5,real)
& sort(c5,st)
& sort(italienisch__1_1,nq)
& varia(unabh__344ngigkeitkrieg_1_1,varia_c)
& refer(unabh__344ngigkeitkrieg_1_1,refer_c)
& quant(unabh__344ngigkeitkrieg_1_1,one)
& gener(unabh__344ngigkeitkrieg_1_1,ge)
& fact(unabh__344ngigkeitkrieg_1_1,real)
& etype(unabh__344ngigkeitkrieg_1_1,int0)
& card(unabh__344ngigkeitkrieg_1_1,int1)
& sort(unabh__344ngigkeitkrieg_1_1,ad)
& varia(c97,con)
& refer(c97,det)
& quant(c97,one)
& gener(c97,sp)
& fact(c97,real)
& etype(c97,int0)
& card(c97,int1)
& sort(c97,ad)
& varia(c4,con)
& refer(c4,det)
& quant(c4,mult)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int1)
& card(c4,cons(x_constant,cons(int1,nil)))
& sort(c4,ad)
& varia(abschlu__337_1_1,varia_c)
& refer(abschlu__337_1_1,refer_c)
& quant(abschlu__337_1_1,one)
& gener(abschlu__337_1_1,ge)
& fact(abschlu__337_1_1,real)
& etype(abschlu__337_1_1,int0)
& card(abschlu__337_1_1,int1)
& sort(abschlu__337_1_1,io)
& sort(abschlu__337_1_1,ad)
& varia(c108,varia_c)
& refer(c108,det)
& quant(c108,one)
& gener(c108,sp)
& fact(c108,real)
& etype(c108,int0)
& card(c108,int1)
& sort(c108,io)
& sort(c108,ad)
& sort(rom_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(c103,varia_c)
& refer(c103,indet)
& quant(c103,one)
& gener(c103,sp)
& fact(c103,real)
& etype(c103,int0)
& card(c103,int1)
& sort(c103,na)
& varia(c102,con)
& refer(c102,det)
& quant(c102,one)
& gener(c102,sp)
& fact(c102,real)
& etype(c102,int0)
& card(c102,int1)
& sort(c102,io)
& sort(c102,d)
& subs(unabh__344ngigkeitkrieg_1_1,krieg__1_1)
& assoc(unabh__344ngigkeitkrieg_1_1,autonomie__1_1)
& subs(c97,eroberung_1_1)
& obj(c97,c102)
& equ(c97,c108)
& val(c92,c88)
& sub(c92,jahr__1_1)
& val(c91,c89)
& sub(c91,monat_1_1)
& attr(c90,c92)
& attr(c90,c91)
& temp(c5,c90)
& subs(c5,enden_1_3)
& arg2(c5,c97)
& arg1(c5,c4)
& prop(c4,italienisch__1_1)
& preds(c4,unabh__344ngigkeitkrieg_1_1)
& pars(c4,c97)
& attch(c4,c108)
& sub(c108,abschlu__337_1_1)
& val(c103,rom_0)
& sub(c103,name_1_1)
& sub(c102,stadt__1_1)
& attr(c102,c103) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_qapw_61_a281) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(synth_qa07_004_qapw_61_a281,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_004_qapw_61_a281) ).
fof(synth_qa07_004_qapw_61_a281_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_qapw_61_a281]) ).
fof(nnf_54,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).
fof(sk_state_adjective__in_state_sk,plain,
! [X0,X1,X2] :
( ( val(sK3(X0,X1,X2),X2)
& sub(sK3(X0,X1,X2),name_1_1)
& sub(sK2(X0,X1,X2),land_1_1)
& loc(X0,sK0(X0,X1,X2))
& attr(sK2(X0,X1,X2),sK3(X0,X1,X2))
& in(sK0(X0,X1,X2),sK2(X0,X1,X2)) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2)),skolemize(X5,sK0(X0,X1,X2))],[nnf_54]) ).
fof(sk_state_adjective__in_state,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( val(sK3(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK3(VAR_0,VAR_1,VAR_2),name_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK2(VAR_0,VAR_1,VAR_2),land_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( loc(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( attr(sK2(VAR_0,VAR_1,VAR_2),sK3(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( in(sK0(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).
cnf(c_80,plain,
( loc(A,sK0(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
fof(fact_8886,axiom,
state_adjective_state_binding(italienisch__1_1,italien_0),
file('theBenchmark.p',fact_8886) ).
cnf(c_100,plain,
state_adjective_state_binding(italienisch__1_1,italien_0),
inference(clausify,[status(thm)],[fact_8886]) ).
fof(nnf_42,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) )
| ~ loc(X0,X1) ),
inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).
fof(sk_loc__stehen_1_1_loc_sk,plain,
! [X0,X1] :
( ( subs(sK1(X0,X1),stehen_1_1)
& scar(sK1(X0,X1),X0)
& loc(sK1(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[nnf_42]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK1(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK1(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK1(VAR_0,VAR_1),VAR_1)
| ~ loc(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).
cnf(c_187,plain,
( loc(sK1(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_188,plain,
( scar(sK1(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_189,plain,
( subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_201,plain,
attr(c102,c103),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_61_a281]) ).
cnf(c_202,plain,
sub(c102,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_61_a281]) ).
cnf(c_203,plain,
sub(c103,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_61_a281]) ).
cnf(c_204,plain,
val(c103,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_61_a281]) ).
cnf(c_209,plain,
prop(c4,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_61_a281]) ).
cnf(c_386,negated_conjecture,
( ~ val(B,rom_0)
| ~ subs(C,stehen_1_1)
| ~ sub(A,stadt__1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,E)
| ~ loc(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_qapw_61_a281_neg]) ).
cnf(c_3504,negated_conjecture,
( ~ val(c103,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c102,stadt__1_1)
| ~ sub(c103,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_201,c_386]) ).
cnf(c_3505,negated_conjecture,
( ~ val(c103,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c102,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_203,c_3504]) ).
cnf(c_3506,negated_conjecture,
( ~ val(c103,rom_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_202,c_3505]) ).
cnf(c_615,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_204,c_3506]) ).
cnf(c_3507,plain,
( loc(c4,sK0(c4,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_80,c_209]) ).
cnf(c_653,plain,
loc(c4,sK0(c4,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_3507,c_100]) ).
cnf(c_3417,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ scar(sK1(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_187,c_615]) ).
cnf(c_3508,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_188,c_3417]) ).
cnf(c_3447,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_3508]) ).
cnf(c_3509,plain,
( ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_189,c_3447]) ).
cnf(c_3502,plain,
~ loc(A,B),
inference(copy,[status(thm)],[c_3509]) ).
cnf(c_3503,plain,
$false,
inference(resolve,[status(thm)],[c_3502,c_653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR114+22 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 01:05:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1909679 was started by sandbox2 on n011,
% 0.09/0.36 % Sun Sep 27 01:05:29 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 4.83/1.10
% 4.83/1.10 % SInE (scan): 89 to sos (tol 1.5x), 16 to usable (tol 2.0x), 10083 zapped, of 10188 axioms (depth 3).
% 4.83/1.10
% 4.83/1.10 % From the command line: assign(max_seconds, 300).
% 4.83/1.10
% 4.83/1.10 % given #500 (F,wt=12): 1702 -loc(eroberung_1_1,A) | -scar(erobern_1_1,B) | -subs(erobern_1_1,C) | -subs(C,stehen_1_1). [resolve(1681,c,148,c)].
% 4.83/1.10
% 4.83/1.10 % SZS status Theorem for theBenchmark
% 4.83/1.10
% 4.83/1.10 % Proof 1 at 0.52 (+ 0.12) seconds.
% 4.83/1.10 % Length of proof is 21.
% 4.83/1.10 % Level of proof is 6.
% 4.83/1.10 % Maximum clause weight is 21.000.
% 4.83/1.10 % Given clauses 749.
% 4.83/1.10
% 4.83/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------