%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 12:13:11 PM UTC 2026
% Result : Theorem 29.98s 4.57s
% Output : CNFRefutation 22.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 23 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 36 ~; 19 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f424,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1573,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1810,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1851,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2056,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2072,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2327,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4206,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7991,axiom,
! [X,Y,Z] :
( ( genls(Y,Z)
& genls(X,Y) )
=> genls(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8578,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f10215,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(cnf_transformation,[status(thm)],[f1573]) ).
fof(f10543,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(cnf_transformation,[status(thm)],[f1810]) ).
fof(f10603,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(cnf_transformation,[status(thm)],[f1851]) ).
fof(f10888,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(cnf_transformation,[status(thm)],[f2056]) ).
fof(f10909,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(cnf_transformation,[status(thm)],[f2072]) ).
fof(f11265,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(cnf_transformation,[status(thm)],[f2327]) ).
fof(f13884,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(cnf_transformation,[status(thm)],[f4206]) ).
fof(f21354,plain,
! [X,Y,Z] :
( genls(X,Z)
| ~ genls(Y,Z)
| ~ genls(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7991]) ).
fof(f21355,plain,
! [X,Z] :
( genls(X,Z)
| ! [Y] :
( ~ genls(Y,Z)
| ~ genls(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21354]) ).
fof(f21356,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X1,X2)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21355]) ).
fof(f21391,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21393,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21409,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_15_40430,X0) ),
inference(resolution,[status(thm)],[f21356,f21393]) ).
fof(f21410,plain,
~ genls(c_tptpcol_14_40429,c_tptpcol_7_39939),
inference(resolution,[status(thm)],[f21409,f13884]) ).
fof(f21412,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_14_40429,X0) ),
inference(resolution,[status(thm)],[f21410,f21356]) ).
fof(f21413,plain,
! [X0,X1] :
( ~ genls(X1,X0)
| ~ genls(c_tptpcol_14_40429,X1)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[status(thm)],[f21412,f21356]) ).
fof(f21417,plain,
! [X0,X1,X2] :
( ~ genls(X2,X1)
| ~ genls(c_tptpcol_14_40429,X2)
| ~ genls(X1,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[status(thm)],[f21413,f21356]) ).
fof(f21938,plain,
! [X0,X1] :
( ~ genls(c_tptpcol_13_40421,X1)
| ~ genls(X1,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[status(thm)],[f11265,f21417]) ).
fof(f21945,plain,
! [X0] :
( ~ genls(c_tptpcol_12_40420,X0)
| ~ genls(X0,c_tptpcol_7_39939) ),
inference(resolution,[status(thm)],[f21938,f8578]) ).
fof(f21947,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_7_39939),
inference(resolution,[status(thm)],[f21945,f10603]) ).
fof(f22436,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_11_40388,X0) ),
inference(resolution,[status(thm)],[f21947,f21356]) ).
fof(f22437,plain,
~ genls(c_tptpcol_10_40324,c_tptpcol_7_39939),
inference(resolution,[status(thm)],[f22436,f10215]) ).
fof(f22538,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_10_40324,X0) ),
inference(resolution,[status(thm)],[f22437,f21356]) ).
fof(f22539,plain,
~ genls(c_tptpcol_9_40196,c_tptpcol_7_39939),
inference(resolution,[status(thm)],[f22538,f10543]) ).
fof(f22541,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_39939)
| ~ genls(c_tptpcol_9_40196,X0) ),
inference(resolution,[status(thm)],[f22539,f21356]) ).
fof(f22542,plain,
~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(resolution,[status(thm)],[f22541,f10909]) ).
fof(f22544,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22542,f10888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 14:36:19 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.46/0.76 % Drodi V4.1.1
% 29.98/4.57 % Refutation found
% 29.98/4.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.98/4.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.98/5.97 % Elapsed time: 5.265715 seconds
% 19.98/5.97 % CPU time: 30.121929 seconds
% 19.98/5.97 % Total memory used: 480.557 MB
% 19.98/5.97 % Net memory used: 473.100 MB
%------------------------------------------------------------------------------