%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+5 : 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 : n006.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 07:07:39 AM UTC 2026
% Result : Theorem 12.67s 2.20s
% Output : CNFRefutation 12.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 193 ( 9 avg)
% Number of connectives : 324 ( 60 ~; 47 |; 216 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 193 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 56 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 12 !; 12 ?)
% 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_insicht_5,axiom,
( gener(denken_2_2,ge)
& fact(denken_2_2,real)
& sort(denken_2_2,st)
& gener(c57,sp)
& fact(c57,real)
& sort(c57,st)
& varia(kirchenf__374rst_1_1,varia_c)
& refer(kirchenf__374rst_1_1,refer_c)
& quant(kirchenf__374rst_1_1,one)
& gener(kirchenf__374rst_1_1,ge)
& fact(kirchenf__374rst_1_1,real)
& etype(kirchenf__374rst_1_1,int0)
& card(kirchenf__374rst_1_1,int1)
& sort(kirchenf__374rst_1_1,d)
& varia(c47,con)
& refer(c47,det)
& quant(c47,one)
& gener(c47,sp)
& fact(c47,real)
& etype(c47,int0)
& card(c47,int1)
& sort(c47,d)
& varia(vorsitz_1_1,varia_c)
& refer(vorsitz_1_1,refer_c)
& quant(vorsitz_1_1,one)
& gener(vorsitz_1_1,ge)
& fact(vorsitz_1_1,real)
& etype(vorsitz_1_1,int0)
& card(vorsitz_1_1,int1)
& sort(vorsitz_1_1,io)
& 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(c43,varia_c)
& refer(c43,indet)
& quant(c43,one)
& gener(c43,sp)
& fact(c43,real)
& etype(c43,int0)
& card(c43,int1)
& sort(c43,na)
& varia(c42,con)
& refer(c42,det)
& quant(c42,one)
& gener(c42,sp)
& fact(c42,real)
& etype(c42,int0)
& card(c42,int1)
& sort(c42,io)
& sort(c42,d)
& varia(kolosseum_1_1,con)
& refer(kolosseum_1_1,det)
& quant(kolosseum_1_1,one)
& gener(kolosseum_1_1,sp)
& fact(kolosseum_1_1,real)
& etype(kolosseum_1_1,int0)
& card(kolosseum_1_1,int1)
& sort(kolosseum_1_1,d)
& varia(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,l)
& varia(c44,varia_c)
& refer(c44,det)
& quant(c44,one)
& gener(c44,sp)
& fact(c44,real)
& etype(c44,int0)
& card(c44,int1)
& sort(c44,io)
& varia(c34,con)
& refer(c34,det)
& quant(c34,one)
& gener(c34,sp)
& fact(c34,real)
& etype(c34,int0)
& card(c34,int1)
& sort(c34,d)
& varia(zeremonie_1_1,varia_c)
& refer(zeremonie_1_1,refer_c)
& quant(zeremonie_1_1,one)
& gener(zeremonie_1_1,ge)
& fact(zeremonie_1_1,real)
& etype(zeremonie_1_1,int0)
& card(zeremonie_1_1,int1)
& sort(zeremonie_1_1,ad)
& sort(n366kumenisch_1_1,tq)
& varia(c80,con)
& refer(c80,det)
& quant(c80,one)
& gener(c80,sp)
& fact(c80,real)
& etype(c80,int0)
& card(c80,int1)
& sort(c80,l)
& varia(c30,varia_c)
& refer(c30,indet)
& quant(c30,one)
& gener(c30,sp)
& fact(c30,real)
& etype(c30,int0)
& card(c30,int1)
& sort(c30,ad)
& card(c22,int2000)
& sort(c22,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)
& sort(heilig_1_1,nq)
& varia(c26,varia_c)
& refer(c26,refer_c)
& quant(c26,quant_c)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,etype_c)
& card(c26,card_c)
& sort(c26,ta)
& sort(c26,oa)
& sort(c26,me)
& varia(c21,con)
& refer(c21,det)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,t)
& varia(m__344rtyrer_1_1,varia_c)
& refer(m__344rtyrer_1_1,refer_c)
& quant(m__344rtyrer_1_1,one)
& gener(m__344rtyrer_1_1,ge)
& fact(m__344rtyrer_1_1,real)
& etype(m__344rtyrer_1_1,int0)
& card(m__344rtyrer_1_1,int1)
& sort(m__344rtyrer_1_1,d)
& varia(c12,con)
& refer(c12,det)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,hypo)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,d)
& in(c80,c34)
& in(c79,c42)
& temp(c57,c21)
& subs(c57,denken_2_2)
& mcont(c57,c12)
& ctxt(c57,c30)
& sub(c47,kirchenf__374rst_1_1)
& attch(c47,c44)
& sub(c44,vorsitz_1_1)
& val(c43,rom_0)
& sub(c43,name_1_1)
& sub(c42,stadt__1_1)
& attr(c42,c43)
& sub(c34,kolosseum_1_1)
& loc(c34,c79)
& attch(c34,c44)
& subs(c30,zeremonie_1_1)
& prop(c30,n366kumenisch_1_1)
& loc(c30,c80)
& val(c26,c22)
& sub(c26,jahr__1_1)
& prop(c21,heilig_1_1)
& attr(c21,c26)
& sub(c12,m__344rtyrer_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_insicht_5) ).
fof(synth_qa07_004_insicht_5,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
file('theBenchmark.p',synth_qa07_004_insicht_5) ).
fof(synth_qa07_004_insicht_5_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_insicht_5]) ).
fof(nnf_47,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(sK0(X0,X1),stehen_1_1)
& scar(sK0(X0,X1),X0)
& loc(sK0(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_47]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK0(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK0(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK0(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_234,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_235,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_236,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_253,plain,
loc(c34,c79),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_254,plain,
sub(c34,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_255,plain,
attr(c42,c43),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_256,plain,
sub(c42,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_257,plain,
sub(c43,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_258,plain,
val(c43,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_266,plain,
in(c79,c42),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_5]) ).
cnf(c_437,negated_conjecture,
( ~ val(C,rom_0)
| ~ subs(D,stehen_1_1)
| ~ sub(E,kolosseum_1_1)
| ~ sub(B,stadt__1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_insicht_5_neg]) ).
cnf(c_5148,negated_conjecture,
( ~ val(c43,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c42,stadt__1_1)
| ~ sub(c43,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c42) ),
inference(resolve,[status(thm)],[c_255,c_437]) ).
cnf(c_5149,negated_conjecture,
( ~ val(c43,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c42,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c42) ),
inference(resolve,[status(thm)],[c_257,c_5148]) ).
cnf(c_5150,negated_conjecture,
( ~ val(c43,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c42) ),
inference(resolve,[status(thm)],[c_256,c_5149]) ).
cnf(c_1064,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c42) ),
inference(resolve,[status(thm)],[c_258,c_5150]) ).
cnf(c_1091,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c34)
| ~ loc(B,A)
| ~ in(A,c42) ),
inference(resolve,[status(thm)],[c_1064,c_254]) ).
cnf(c_1129,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c34)
| ~ loc(A,c79) ),
inference(resolve,[status(thm)],[c_1091,c_266]) ).
cnf(c_5003,plain,
( ~ subs(sK0(A,c79),stehen_1_1)
| ~ scar(sK0(A,c79),c34)
| ~ loc(A,c79) ),
inference(resolve,[status(thm)],[c_234,c_1129]) ).
cnf(c_5020,plain,
( ~ subs(sK0(c34,c79),stehen_1_1)
| ~ scar(sK0(c34,c79),c34) ),
inference(resolve,[status(thm)],[c_5003,c_253]) ).
cnf(c_5151,plain,
( ~ subs(sK0(c34,c79),stehen_1_1)
| ~ loc(c34,c79) ),
inference(resolve,[status(thm)],[c_235,c_5020]) ).
cnf(c_5044,plain,
~ subs(sK0(c34,c79),stehen_1_1),
inference(resolve,[status(thm)],[c_253,c_5151]) ).
cnf(c_5152,plain,
~ loc(c34,c79),
inference(resolve,[status(thm)],[c_236,c_5044]) ).
cnf(c_5147,plain,
$false,
inference(resolve,[status(thm)],[c_253,c_5152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR114+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n006.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 01:05:55 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 2476846 was started by sandbox on n006,
% 0.17/0.43 % Sun Sep 27 01:05:55 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 12.67/2.20
% 12.67/2.20 % SInE (scan): 90 to sos (tol 1.5x), 23 to usable (tol 2.0x), 10075 zapped, of 10188 axioms (depth 3).
% 12.67/2.20
% 12.67/2.20 % From the command line: assign(max_seconds, 300).
% 12.67/2.20
% 12.67/2.20 % given #500 (F,wt=12): 2390 -in(c80,c42) | -scar(c30,c34) | -subs(zeremonie_1_1,A) | -subs(A,stehen_1_1). [resolve(2384,a,181,c)].
% 12.67/2.20
% 12.67/2.20 % SZS status Theorem for theBenchmark
% 12.67/2.20
% 12.67/2.20 % Proof 1 at 1.37 (+ 0.23) seconds.
% 12.67/2.20 % Length of proof is 21.
% 12.67/2.20 % Level of proof is 8.
% 12.67/2.20 % Maximum clause weight is 27.000.
% 12.67/2.20 % Given clauses 914.
% 12.67/2.20
% 12.67/2.20 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------