%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 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 : Sun Sep 27 07:04:01 AM UTC 2026
% Result : Theorem 53.23s 8.68s
% Output : CNFRefutation 53.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 24 ( 11 ~; 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(ax2_424,axiom,
genls('c$utptpcol$u13$u40421','c$utptpcol$u12$u40420') ).
fof(ax2_1573,axiom,
genls('c$utptpcol$u11$u40388','c$utptpcol$u10$u40324') ).
fof(ax2_1810,axiom,
genls('c$utptpcol$u10$u40324','c$utptpcol$u9$u40196') ).
fof(ax2_1851,axiom,
genls('c$utptpcol$u12$u40420','c$utptpcol$u11$u40388') ).
fof(ax2_2056,axiom,
genls('c$utptpcol$u8$u39940','c$utptpcol$u7$u39939') ).
fof(ax2_2072,axiom,
genls('c$utptpcol$u9$u40196','c$utptpcol$u8$u39940') ).
fof(ax2_2327,axiom,
genls('c$utptpcol$u14$u40429','c$utptpcol$u13$u40421') ).
fof(ax2_4206,axiom,
genls('c$utptpcol$u15$u40430','c$utptpcol$u14$u40429') ).
fof(ax2_7991,axiom,
! [X0,X1,X2] :
( ( genls(X1,X2)
& genls(X0,X1) )
=> genls(X0,X2) ) ).
fof(query152,conjecture,
( mtvisible('f$ucontentmtofcdafromeventfn'('f$uurlreferentfn'('f$uurlfn'('s$uhttp$uukencartamsncomencyclopedia$u761573010$u4united$ustates$uof$uamericahtml')),'c$utranslation$u33'))
=> genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939') ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('f$ucontentmtofcdafromeventfn'('f$uurlreferentfn'('f$uurlfn'('s$uhttp$uukencartamsncomencyclopedia$u761573010$u4united$ustates$uof$uamericahtml')),'c$utranslation$u33'))
=> genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939') ),
inference(negate_conjecture,[status(cth)],[query152]) ).
cnf(c1,plain,
genls('c$utptpcol$u13$u40421','c$utptpcol$u12$u40420'),
inference(clausification,[status(esa)],[ax2_424]) ).
cnf(c5,plain,
genls('c$utptpcol$u11$u40388','c$utptpcol$u10$u40324'),
inference(clausification,[status(esa)],[ax2_1573]) ).
cnf(c7,plain,
genls('c$utptpcol$u10$u40324','c$utptpcol$u9$u40196'),
inference(clausification,[status(esa)],[ax2_1810]) ).
cnf(c9,plain,
genls('c$utptpcol$u12$u40420','c$utptpcol$u11$u40388'),
inference(clausification,[status(esa)],[ax2_1851]) ).
cnf(c13,plain,
genls('c$utptpcol$u8$u39940','c$utptpcol$u7$u39939'),
inference(clausification,[status(esa)],[ax2_2056]) ).
cnf(c15,plain,
genls('c$utptpcol$u9$u40196','c$utptpcol$u8$u39940'),
inference(clausification,[status(esa)],[ax2_2072]) ).
cnf(c17,plain,
genls('c$utptpcol$u14$u40429','c$utptpcol$u13$u40421'),
inference(clausification,[status(esa)],[ax2_2327]) ).
cnf(c34,plain,
genls('c$utptpcol$u15$u40430','c$utptpcol$u14$u40429'),
inference(clausification,[status(esa)],[ax2_4206]) ).
cnf(c59,plain,
( genls(X2,X1)
| ~ genls(X2,X0)
| ~ genls(X0,X1) ),
inference(clausification,[status(esa)],[ax2_7991]) ).
cnf(c66,plain,
~ genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( genls('c$utptpcol$u11$u40388',X0)
| ~ genls('c$utptpcol$u10$u40324',X0) ),
inference(resolution,[status(thm)],[c59,c5]) ).
cnf(d1,plain,
( genls('c$utptpcol$u10$u40324',X0)
| ~ genls('c$utptpcol$u9$u40196',X0) ),
inference(resolution,[status(thm)],[c59,c7]) ).
cnf(d2,plain,
( genls('c$utptpcol$u9$u40196',X0)
| ~ genls('c$utptpcol$u8$u39940',X0) ),
inference(resolution,[status(thm)],[c59,c15]) ).
cnf(d3,plain,
genls('c$utptpcol$u9$u40196','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
genls('c$utptpcol$u10$u40324','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
genls('c$utptpcol$u11$u40388','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( genls('c$utptpcol$u13$u40421',X0)
| ~ genls('c$utptpcol$u12$u40420',X0) ),
inference(resolution,[status(thm)],[c59,c1]) ).
cnf(d7,plain,
genls('c$utptpcol$u13$u40421','c$utptpcol$u11$u40388'),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
( genls('c$utptpcol$u13$u40421',X0)
| ~ genls('c$utptpcol$u11$u40388',X0) ),
inference(resolution,[status(thm)],[d7,c59]) ).
cnf(d9,plain,
genls('c$utptpcol$u13$u40421','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( genls('c$utptpcol$u15$u40430',X0)
| ~ genls('c$utptpcol$u14$u40429',X0) ),
inference(resolution,[status(thm)],[c59,c34]) ).
cnf(d11,plain,
genls('c$utptpcol$u15$u40430','c$utptpcol$u13$u40421'),
inference(resolution,[status(thm)],[d10,c17]) ).
cnf(d12,plain,
( genls('c$utptpcol$u15$u40430',X0)
| ~ genls('c$utptpcol$u13$u40421',X0) ),
inference(resolution,[status(thm)],[d11,c59]) ).
cnf(d13,plain,
genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c66,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR052+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.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 00:20:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.23/8.68 % SZS status Theorem for theBenchmark.p
% 53.23/8.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------