%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR052+2 : TPTP v9.3.1. Released v3.4.0.
% 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 07:06:54 AM UTC 2026
% Result : Theorem 1.31s 0.84s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 25 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 9 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 13 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_1109,axiom,
! [X,Y,Z] :
( ( genls(Y,Z)
& genls(X,Y) )
=> genls(X,Z) ),
file('theBenchmark.p',ax1_1109) ).
fof(query102,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('theBenchmark.p',query102) ).
fof(query102_neg,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(assume_negation,[status(cth)],[query102]) ).
fof(ax1_4,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('theBenchmark.p',ax1_4) ).
cnf(c_1224,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(clausify,[status(thm)],[ax1_4]) ).
fof(ax1_16,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('theBenchmark.p',ax1_16) ).
cnf(c_1235,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(clausify,[status(thm)],[ax1_16]) ).
fof(ax1_54,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('theBenchmark.p',ax1_54) ).
cnf(c_1265,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(clausify,[status(thm)],[ax1_54]) ).
fof(ax1_76,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('theBenchmark.p',ax1_76) ).
cnf(c_1278,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(clausify,[status(thm)],[ax1_76]) ).
fof(ax1_186,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('theBenchmark.p',ax1_186) ).
cnf(c_1341,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(clausify,[status(thm)],[ax1_186]) ).
fof(ax1_424,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('theBenchmark.p',ax1_424) ).
cnf(c_1492,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(clausify,[status(thm)],[ax1_424]) ).
fof(ax1_438,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('theBenchmark.p',ax1_438) ).
cnf(c_1501,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(clausify,[status(thm)],[ax1_438]) ).
fof(ax1_470,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('theBenchmark.p',ax1_470) ).
cnf(c_1517,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(clausify,[status(thm)],[ax1_470]) ).
cnf(c_1947,plain,
( genls(A,C)
| ~ genls(B,C)
| ~ genls(A,B) ),
inference(clausify,[status(thm)],[ax1_1109]) ).
cnf(c_1963,negated_conjecture,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(clausify,[status(thm)],[query102_neg]) ).
cnf(c_2175,plain,
( genls(A,c_tptpcol_7_39939)
| ~ genls(A,c_tptpcol_8_39940) ),
inference(resolve,[status(thm)],[c_1947,c_1501]) ).
cnf(c_2027,negated_conjecture,
~ genls(c_tptpcol_15_40430,c_tptpcol_8_39940),
inference(resolve,[status(thm)],[c_2175,c_1963]) ).
cnf(c_2176,plain,
( genls(c_tptpcol_15_40430,A)
| ~ genls(c_tptpcol_14_40429,A) ),
inference(resolve,[status(thm)],[c_1947,c_1224]) ).
cnf(c_2030,plain,
~ genls(c_tptpcol_14_40429,c_tptpcol_8_39940),
inference(resolve,[status(thm)],[c_2176,c_2027]) ).
cnf(c_2177,plain,
( genls(c_tptpcol_14_40429,A)
| ~ genls(c_tptpcol_13_40421,A) ),
inference(resolve,[status(thm)],[c_1947,c_1341]) ).
cnf(c_2063,plain,
genls(c_tptpcol_14_40429,c_tptpcol_12_40420),
inference(resolve,[status(thm)],[c_2177,c_1235]) ).
cnf(c_2178,plain,
( genls(c_tptpcol_14_40429,A)
| ~ genls(c_tptpcol_12_40420,A) ),
inference(resolve,[status(thm)],[c_1947,c_2063]) ).
cnf(c_2067,plain,
~ genls(c_tptpcol_12_40420,c_tptpcol_8_39940),
inference(resolve,[status(thm)],[c_2178,c_2030]) ).
cnf(c_2179,plain,
( genls(A,c_tptpcol_8_39940)
| ~ genls(A,c_tptpcol_9_40196) ),
inference(resolve,[status(thm)],[c_1947,c_1517]) ).
cnf(c_2075,plain,
~ genls(c_tptpcol_12_40420,c_tptpcol_9_40196),
inference(resolve,[status(thm)],[c_2179,c_2067]) ).
cnf(c_2180,plain,
( genls(c_tptpcol_12_40420,A)
| ~ genls(c_tptpcol_11_40388,A) ),
inference(resolve,[status(thm)],[c_1947,c_1265]) ).
cnf(c_2150,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_9_40196),
inference(resolve,[status(thm)],[c_2180,c_2075]) ).
cnf(c_2181,plain,
( genls(A,c_tptpcol_9_40196)
| ~ genls(A,c_tptpcol_10_40324) ),
inference(resolve,[status(thm)],[c_1947,c_1278]) ).
cnf(c_2182,plain,
~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(resolve,[status(thm)],[c_2181,c_2150]) ).
cnf(c_2174,plain,
$false,
inference(resolve,[status(thm)],[c_1492,c_2182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR052+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:20:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 379940 was started by sandbox2 on n010,
% 0.08/0.35 % Sun Sep 27 00:20:31 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.52
% 0.20/0.52 % From the command line: assign(max_seconds, 300).
% 0.20/0.52
% 0.20/0.52 % SInE: 766 to sos, 365 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 1.31/0.84
% 1.31/0.84 % SZS status Theorem for theBenchmark
% 1.31/0.84
% 1.31/0.84 % Proof 1 at 0.23 (+ 0.04) seconds.
% 1.31/0.84 % Length of proof is 19.
% 1.31/0.84 % Level of proof is 7.
% 1.31/0.84 % Maximum clause weight is 308.000.
% 1.31/0.84 % Given clauses 236.
% 1.31/0.84
% 1.31/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------