%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR031+2 : 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 : n016.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 25.49s 3.63s
% Output : CNFRefutation 25.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_167,axiom,
! [X0] :
~ ( setorcollection(X0)
& individual(X0) ) ).
fof(ax1_221,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> no(X0,X1) ) ).
fof(ax1_331,axiom,
! [X0,X1] :
( no(X0,X1)
=> few(X0,X1) ) ).
fof(ax1_447,axiom,
individual('c$utptptptpcol$u16$u8398') ).
fof(ax1_593,axiom,
! [X0,X1] :
( few(X0,X1)
=> setorcollection(X0) ) ).
fof(query81,conjecture,
~ disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488') ).
fof(negated_conjecture,negated_conjecture,
~ ~ disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(negate_conjecture,[status(cth)],[query81]) ).
cnf(c166,plain,
( ~ setorcollection(X0)
| ~ individual(X0) ),
inference(clausification,[status(esa)],[ax1_167]) ).
cnf(c220,plain,
( no(X0,X1)
| ~ disjointwith(X0,X1) ),
inference(clausification,[status(esa)],[ax1_221]) ).
cnf(c330,plain,
( few(X0,X1)
| ~ no(X0,X1) ),
inference(clausification,[status(esa)],[ax1_331]) ).
cnf(c446,plain,
individual('c$utptptptpcol$u16$u8398'),
inference(clausification,[status(esa)],[ax1_447]) ).
cnf(c592,plain,
( setorcollection(X0)
| ~ few(X0,X1) ),
inference(clausification,[status(esa)],[ax1_593]) ).
cnf(c1131,plain,
disjointwith('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
no('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(resolution,[status(thm)],[c220,c1131]) ).
cnf(d1,plain,
few('c$utptptptpcol$u16$u8398','c$utptpcol$u16$u18488'),
inference(resolution,[status(thm)],[c330,d0]) ).
cnf(d2,plain,
setorcollection('c$utptptptpcol$u16$u8398'),
inference(resolution,[status(thm)],[c592,d1]) ).
cnf(d3,plain,
~ individual('c$utptptptpcol$u16$u8398'),
inference(resolution,[status(thm)],[d2,c166]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c446,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 00:06:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.49/3.63 % SZS status Theorem for theBenchmark.p
% 25.49/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------