%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR052+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 81.58s 22.14s
% Output : CNFRefutation 81.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% 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(ax3_4357,axiom,
genls('c$utptpcol$u8$u39940','c$utptpcol$u7$u39939') ).
fof(ax3_5606,axiom,
genls('c$utptpcol$u10$u40324','c$utptpcol$u9$u40196') ).
fof(ax3_5727,axiom,
genls('c$utptpcol$u15$u40430','c$utptpcol$u14$u40429') ).
fof(ax3_6645,axiom,
genls('c$utptpcol$u9$u40196','c$utptpcol$u8$u39940') ).
fof(ax3_8138,axiom,
genls('c$utptpcol$u12$u40420','c$utptpcol$u11$u40388') ).
fof(ax3_10200,axiom,
genls('c$utptpcol$u14$u40429','c$utptpcol$u13$u40421') ).
fof(ax3_13323,axiom,
genls('c$utptpcol$u11$u40388','c$utptpcol$u10$u40324') ).
fof(ax3_19340,axiom,
genls('c$utptpcol$u13$u40421','c$utptpcol$u12$u40420') ).
fof(ax3_44178,axiom,
! [X0,X1,X2] :
( ( genls(X1,X2)
& genls(X0,X1) )
=> genls(X0,X2) ) ).
fof(query202,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)],[query202]) ).
cnf(c4,plain,
genls('c$utptpcol$u8$u39940','c$utptpcol$u7$u39939'),
inference(clausification,[status(esa)],[ax3_4357]) ).
cnf(c6,plain,
genls('c$utptpcol$u10$u40324','c$utptpcol$u9$u40196'),
inference(clausification,[status(esa)],[ax3_5606]) ).
cnf(c8,plain,
genls('c$utptpcol$u15$u40430','c$utptpcol$u14$u40429'),
inference(clausification,[status(esa)],[ax3_5727]) ).
cnf(c10,plain,
genls('c$utptpcol$u9$u40196','c$utptpcol$u8$u39940'),
inference(clausification,[status(esa)],[ax3_6645]) ).
cnf(c12,plain,
genls('c$utptpcol$u12$u40420','c$utptpcol$u11$u40388'),
inference(clausification,[status(esa)],[ax3_8138]) ).
cnf(c16,plain,
genls('c$utptpcol$u14$u40429','c$utptpcol$u13$u40421'),
inference(clausification,[status(esa)],[ax3_10200]) ).
cnf(c20,plain,
genls('c$utptpcol$u11$u40388','c$utptpcol$u10$u40324'),
inference(clausification,[status(esa)],[ax3_13323]) ).
cnf(c24,plain,
genls('c$utptpcol$u13$u40421','c$utptpcol$u12$u40420'),
inference(clausification,[status(esa)],[ax3_19340]) ).
cnf(c72,plain,
( genls(X2,X1)
| ~ genls(X2,X0)
| ~ genls(X0,X1) ),
inference(clausification,[status(esa)],[ax3_44178]) ).
cnf(c79,plain,
~ genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( genls('c$utptpcol$u15$u40430',X0)
| ~ genls('c$utptpcol$u14$u40429',X0) ),
inference(resolution,[status(thm)],[c72,c8]) ).
cnf(d1,plain,
( genls('c$utptpcol$u13$u40421',X0)
| ~ genls('c$utptpcol$u12$u40420',X0) ),
inference(resolution,[status(thm)],[c72,c24]) ).
cnf(d2,plain,
( genls('c$utptpcol$u12$u40420',X0)
| ~ genls('c$utptpcol$u11$u40388',X0) ),
inference(resolution,[status(thm)],[c72,c12]) ).
cnf(d3,plain,
( genls('c$utptpcol$u11$u40388',X0)
| ~ genls('c$utptpcol$u10$u40324',X0) ),
inference(resolution,[status(thm)],[c72,c20]) ).
cnf(d4,plain,
( genls('c$utptpcol$u10$u40324',X0)
| ~ genls('c$utptpcol$u9$u40196',X0) ),
inference(resolution,[status(thm)],[c72,c6]) ).
cnf(d5,plain,
( genls('c$utptpcol$u9$u40196',X0)
| ~ genls('c$utptpcol$u8$u39940',X0) ),
inference(resolution,[status(thm)],[c72,c10]) ).
cnf(d6,plain,
genls('c$utptpcol$u9$u40196','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
genls('c$utptpcol$u10$u40324','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
genls('c$utptpcol$u11$u40388','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
genls('c$utptpcol$u12$u40420','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
genls('c$utptpcol$u13$u40421','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( genls('c$utptpcol$u14$u40429',X0)
| ~ genls('c$utptpcol$u13$u40421',X0) ),
inference(resolution,[status(thm)],[c72,c16]) ).
cnf(d12,plain,
genls('c$utptpcol$u14$u40429','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
genls('c$utptpcol$u15$u40430','c$utptpcol$u7$u39939'),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c79,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR052+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.98 % Computer : n002.cluster.edu
% 0.08/5.98 % Model : x86_64 x86_64
% 0.08/5.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.98 % Memory : 8046.5625MB
% 0.08/5.98 % OS : Linux 6.8.0-71-generic
% 0.08/5.98 % CPULimit : 300
% 0.08/5.98 % WCLimit : 300
% 0.08/5.98 % DateTime : Sun Sep 27 00:23:49 UTC 2026
% 0.08/5.99 % CPUTime :
% 0.08/5.99 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.58/22.14 % SZS status Theorem for theBenchmark.p
% 81.58/22.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------