%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO148+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 : 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 07:14:17 AM UTC 2026
% Result : Theorem 21.74s 8.62s
% Output : CNFRefutation 21.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 18 ~; 9 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2))) ) ).
fof(homogeneous_behaviour,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( once('at$uthe$usame$utime'(at(X4,X2),at(X5,X3)))
& once('at$uthe$usame$utime'(at(X4,X0),at(X5,X1))) )
=> ~ ( 'ordered$uby'('trajectory$uof'(X5),X3,X1)
& 'ordered$uby'('trajectory$uof'(X4),X0,X2) ) ) ).
fof(t14,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( 'ordered$uby'('trajectory$uof'(X1),X0,X3)
& 'ordered$uby'('trajectory$uof'(X2),X4,X0) )
=> ~ once('at$uthe$usame$utime'(at(X1,X3),at(X2,X4))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( 'ordered$uby'('trajectory$uof'(X1),X0,X3)
& 'ordered$uby'('trajectory$uof'(X2),X4,X0) )
=> ~ once('at$uthe$usame$utime'(at(X1,X3),at(X2,X4))) ) ),
inference(negate_conjecture,[status(cth)],[t14]) ).
cnf(c_112,plain,
( once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(clausification,[status(esa)],[connect_defn]) ).
cnf(c_124,plain,
( ~ 'ordered$uby'('trajectory$uof'(X2),X5,X3)
| ~ 'ordered$uby'('trajectory$uof'(X0),X1,X4)
| ~ once('at$uthe$usame$utime'(at(X0,X4),at(X2,X5)))
| ~ once('at$uthe$usame$utime'(at(X0,X1),at(X2,X3))) ),
inference(clausification,[status(esa)],[homogeneous_behaviour]) ).
cnf(c_126,plain,
connect(sK140,sK141,sK139),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_127,plain,
'ordered$uby'('trajectory$uof'(sK141),sK143,sK139),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_128,plain,
'ordered$uby'('trajectory$uof'(sK140),sK139,sK142),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_129,plain,
once('at$uthe$usame$utime'(at(sK140,sK142),at(sK141,sK143))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ once('at$uthe$usame$utime'(at(sK140,X1),at(sK141,X0)))
| ~ 'ordered$uby'('trajectory$uof'(sK140),X1,sK142)
| ~ 'ordered$uby'('trajectory$uof'(sK141),sK143,X0) ),
inference(resolution,[status(thm)],[c_124,c_129]) ).
cnf(d1,plain,
( ~ connect(sK140,sK141,X0)
| ~ 'ordered$uby'('trajectory$uof'(sK141),sK143,X0)
| ~ 'ordered$uby'('trajectory$uof'(sK140),X0,sK142) ),
inference(resolution,[status(thm)],[d0,c_112]) ).
cnf(d2,plain,
( ~ connect(sK140,sK141,sK139)
| ~ 'ordered$uby'('trajectory$uof'(sK140),sK139,sK142) ),
inference(resolution,[status(thm)],[d1,c_127]) ).
cnf(d3,plain,
~ 'ordered$uby'('trajectory$uof'(sK140),sK139,sK142),
inference(resolution,[status(thm)],[c_126,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c_128,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n002.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Fri Sep 25 12:58:44 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.74/8.62 % SZS status Theorem for theBenchmark.p
% 21.74/8.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------