%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR031+1 : 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 : 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 07:03:47 AM UTC 2026
% Result : Theorem 11.18s 1.84s
% Output : CNFRefutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 2 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just4,axiom,
! [X0] :
~ ( individual(X0)
& collection(X0) ) ).
fof(just6,axiom,
individual('c$utptptptpcol$u16$u8398') ).
fof(just34,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ) ).
fof(query31,conjecture,
~ disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488') ).
fof(negated_conjecture,negated_conjecture,
~ ~ disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(negate_conjecture,[status(cth)],[query31]) ).
cnf(c3,plain,
( ~ individual(X0)
| ~ collection(X0) ),
inference(clausification,[status(esa)],[just4]) ).
cnf(c5,plain,
individual('c$utptptptpcol$u16$u8398'),
inference(clausification,[status(esa)],[just6]) ).
cnf(c33,plain,
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(clausification,[status(esa)],[just34]) ).
cnf(c55,plain,
disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
collection('c$utptptptpcol$u16$u8398'),
inference(resolution,[status(thm)],[c33,c55]) ).
cnf(d1,plain,
~ individual('c$utptptptpcol$u16$u8398'),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c5,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 00:01:53 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.18/1.84 % SZS status Theorem for theBenchmark.p
% 11.18/1.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------