%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 07:14:17 AM UTC 2026
% Result : Theorem 22.91s 3.33s
% Output : CNFRefutation 22.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 10 ~; 7 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 4 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2))) ) ).
fof(conjunction_at_the_same_time,axiom,
! [X0,X1] :
( once('at$uthe$usame$utime'(X0,X1))
=> ( once(X1)
& once(X0) ) ) ).
fof(at_on_trajectory,axiom,
! [X0,X1] :
( once(at(X0,X1))
<=> 'incident$uo'(X1,'trajectory$uof'(X0)) ) ).
fof(t13,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( 'incident$uo'(X0,'trajectory$uof'(X2))
& 'incident$uo'(X0,'trajectory$uof'(X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( 'incident$uo'(X0,'trajectory$uof'(X2))
& 'incident$uo'(X0,'trajectory$uof'(X1)) ) ),
inference(negate_conjecture,[status(cth)],[t13]) ).
cnf(c_112,plain,
( once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(clausification,[status(esa)],[connect_defn]) ).
cnf(c_119,plain,
( once(X0)
| ~ once('at$uthe$usame$utime'(X0,X1)) ),
inference(clausification,[status(esa)],[conjunction_at_the_same_time]) ).
cnf(c_120,plain,
( once(X1)
| ~ once('at$uthe$usame$utime'(X0,X1)) ),
inference(clausification,[status(esa)],[conjunction_at_the_same_time]) ).
cnf(c_121,plain,
( 'incident$uo'(X1,'trajectory$uof'(X0))
| ~ once(at(X0,X1)) ),
inference(clausification,[status(esa)],[at_on_trajectory]) ).
cnf(c_126,plain,
connect(sK140,sK141,sK139),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_127,plain,
( ~ 'incident$uo'(sK139,'trajectory$uof'(sK141))
| ~ 'incident$uo'(sK139,'trajectory$uof'(sK140)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( once(at(X0,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_112,c_119]) ).
cnf(d1,plain,
once(at(sK140,sK139)),
inference(resolution,[status(thm)],[d0,c_126]) ).
cnf(d2,plain,
'incident$uo'(sK139,'trajectory$uof'(sK140)),
inference(resolution,[status(thm)],[d1,c_121]) ).
cnf(d3,plain,
( once(at(X1,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_112,c_120]) ).
cnf(d4,plain,
once(at(sK141,sK139)),
inference(resolution,[status(thm)],[d3,c_126]) ).
cnf(d5,plain,
'incident$uo'(sK139,'trajectory$uof'(sK141)),
inference(resolution,[status(thm)],[d4,c_121]) ).
cnf(d6,plain,
~ 'incident$uo'(sK139,'trajectory$uof'(sK140)),
inference(resolution,[status(thm)],[d5,c_127]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 12:57:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.91/3.33 % SZS status Theorem for theBenchmark.p
% 22.91/3.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------