%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+12 : 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 : n010.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 07:07:36 AM UTC 2026
% Result : Theorem 10.31s 2.05s
% Output : CNFRefutation 10.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 136 ( 7 avg)
% Number of connectives : 264 ( 58 ~; 46 |; 159 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 136 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 47 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_mira_wp_261,axiom,
( gener(prop_0,gener_c)
& fact(prop_0,real)
& sort(prop_0,st)
& sort(erw__344hnenswert_1_1,ql)
& 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(c95,varia_c)
& refer(c95,indet)
& quant(c95,one)
& gener(c95,sp)
& fact(c95,real)
& etype(c95,int0)
& card(c95,int1)
& sort(c95,na)
& varia(c94,con)
& refer(c94,det)
& quant(c94,one)
& gener(c94,sp)
& fact(c94,real)
& etype(c94,int0)
& card(c94,int1)
& sort(c94,io)
& sort(c94,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(c97,con)
& refer(c97,det)
& quant(c97,one)
& gener(c97,sp)
& fact(c97,real)
& etype(c97,int0)
& card(c97,int1)
& sort(c97,l)
& varia(c88,con)
& refer(c88,det)
& quant(c88,one)
& gener(c88,sp)
& fact(c88,real)
& etype(c88,int0)
& card(c88,int1)
& sort(c88,d)
& varia(c85,varia_c)
& refer(c85,refer_c)
& quant(c85,quant_c)
& gener(c85,gener_c)
& fact(c85,real)
& etype(c85,int2)
& etype(c85,int1)
& card(c85,card_c)
& sort(c85,o)
& sort(zweitgro__337_1_1,mq)
& varia(amphi_theater_1_1,varia_c)
& refer(amphi_theater_1_1,refer_c)
& quant(amphi_theater_1_1,one)
& gener(amphi_theater_1_1,ge)
& fact(amphi_theater_1_1,real)
& etype(amphi_theater_1_1,int0)
& card(amphi_theater_1_1,int1)
& sort(amphi_theater_1_1,o)
& sort(c84,tq)
& varia(c98,con)
& refer(c98,det)
& quant(c98,one)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& sort(c98,l)
& 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)
& gener(machen_1_6,ge)
& fact(machen_1_6,real)
& sort(machen_1_6,da)
& varia(c80,con)
& refer(c80,det)
& quant(c80,one)
& gener(c80,sp)
& fact(c80,real)
& etype(c80,int0)
& card(c80,int1)
& sort(c80,o)
& gener(c99,sp)
& fact(c99,real)
& sort(c99,st)
& varia(c72,con)
& refer(c72,det)
& quant(c72,one)
& gener(c72,sp)
& fact(c72,real)
& etype(c72,int0)
& card(c72,int1)
& sort(c72,io)
& sort(c72,d)
& gener(c4,sp)
& fact(c4,real)
& sort(c4,da)
& subr(c99,prop_0)
& arg2(c99,erw__344hnenswert_1_1)
& arg1(c99,c80)
& hinter(c98,c88)
& in(c97,c94)
& val(c95,rom_0)
& sub(c95,name_1_1)
& sub(c94,stadt__1_1)
& attr(c94,c95)
& sub(c88,kolosseum_1_1)
& loc(c88,c97)
& supl(c84,zweitgro__337_1_1,c85)
& sub(c80,amphi_theater_1_1)
& prop(c80,c84)
& loc(c80,c98)
& sub(c72,stadt__1_1)
& subs(c4,machen_1_6)
& obj(c4,c80)
& caus(c4,c99)
& agt(c4,c72) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_wp_261) ).
fof(synth_qa07_004_mira_wp_261,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_mira_wp_261) ).
fof(synth_qa07_004_mira_wp_261_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_mira_wp_261]) ).
fof(nnf_37,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_37]) ).
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_221,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_222,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_223,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_236,plain,
loc(c88,c97),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_237,plain,
sub(c88,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_238,plain,
attr(c94,c95),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_239,plain,
sub(c94,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_240,plain,
sub(c95,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_241,plain,
val(c95,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_242,plain,
in(c97,c94),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_261]) ).
cnf(c_363,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_mira_wp_261_neg]) ).
cnf(c_4634,negated_conjecture,
( ~ val(c95,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c94,stadt__1_1)
| ~ sub(c95,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c94) ),
inference(resolve,[status(thm)],[c_238,c_363]) ).
cnf(c_4635,negated_conjecture,
( ~ val(c95,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c94,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c94) ),
inference(resolve,[status(thm)],[c_240,c_4634]) ).
cnf(c_4636,negated_conjecture,
( ~ val(c95,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c94) ),
inference(resolve,[status(thm)],[c_239,c_4635]) ).
cnf(c_825,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c94) ),
inference(resolve,[status(thm)],[c_241,c_4636]) ).
cnf(c_842,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c88)
| ~ loc(B,A)
| ~ in(A,c94) ),
inference(resolve,[status(thm)],[c_825,c_237]) ).
cnf(c_861,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c88)
| ~ loc(A,c97) ),
inference(resolve,[status(thm)],[c_842,c_242]) ).
cnf(c_4455,plain,
( ~ subs(sK0(A,c97),stehen_1_1)
| ~ scar(sK0(A,c97),c88)
| ~ loc(A,c97) ),
inference(resolve,[status(thm)],[c_221,c_861]) ).
cnf(c_4584,plain,
scar(sK0(c88,c97),c88),
inference(resolve,[status(thm)],[c_222,c_236]) ).
cnf(c_4637,plain,
( ~ subs(sK0(c88,c97),stehen_1_1)
| ~ scar(sK0(c88,c97),c88) ),
inference(resolve,[status(thm)],[c_4455,c_236]) ).
cnf(c_4586,plain,
~ subs(sK0(c88,c97),stehen_1_1),
inference(resolve,[status(thm)],[c_4584,c_4637]) ).
cnf(c_4638,plain,
~ loc(c88,c97),
inference(resolve,[status(thm)],[c_223,c_4586]) ).
cnf(c_4633,plain,
$false,
inference(resolve,[status(thm)],[c_236,c_4638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR114+12 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 01:05:00 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 429360 was started by sandbox2 on n010,
% 0.18/0.44 % Sun Sep 27 01:05:00 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 10.31/2.05
% 10.31/2.05 % SInE (scan): 76 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10090 zapped, of 10188 axioms (depth 3).
% 10.31/2.05
% 10.31/2.05 % From the command line: assign(max_seconds, 300).
% 10.31/2.05
% 10.31/2.05 % given #500 (F,wt=15): 1623 -scar(c88,c80) | -sub(amphi_theater_1_1,A) | -sub(A,kolosseum_1_1) | -subs(c88,B) | -subs(B,stehen_1_1). [resolve(1441,b,182,c)].
% 10.31/2.05
% 10.31/2.05 % SZS status Theorem for theBenchmark
% 10.31/2.05
% 10.31/2.05 % Proof 1 at 1.25 (+ 0.18) seconds.
% 10.31/2.05 % Length of proof is 21.
% 10.31/2.05 % Level of proof is 7.
% 10.31/2.05 % Maximum clause weight is 27.000.
% 10.31/2.05 % Given clauses 694.
% 10.31/2.05
% 10.31/2.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------