%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 16.20s 2.61s
% Output : CNFRefutation 16.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 8 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2))) ) ).
fof(symmetry_of_at_the_same_time,axiom,
! [X0,X1] :
( once('at$uthe$usame$utime'(X0,X1))
<=> once('at$uthe$usame$utime'(X1,X0)) ) ).
fof(t12,conjecture,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> connect(X1,X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> connect(X1,X0,X2) ),
inference(negate_conjecture,[status(cth)],[t12]) ).
cnf(c_112,plain,
( once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(clausification,[status(esa)],[connect_defn]) ).
cnf(c_113,plain,
( ~ once('at$uthe$usame$utime'(at(X0,X2),at(X1,X2)))
| connect(X0,X1,X2) ),
inference(clausification,[status(esa)],[connect_defn]) ).
cnf(c_114,plain,
( once('at$uthe$usame$utime'(X1,X0))
| ~ once('at$uthe$usame$utime'(X0,X1)) ),
inference(clausification,[status(esa)],[symmetry_of_at_the_same_time]) ).
cnf(c_127,plain,
( connect(sK140,sK139,sK141)
| connect(sK139,sK140,sK141) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_128,plain,
( ~ connect(sK139,sK140,sK141)
| ~ connect(sK140,sK139,sK141) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( once('at$uthe$usame$utime'(at(X1,X2),at(X0,X2)))
| ~ connect(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_112,c_114]) ).
cnf(d1,plain,
( connect(X1,X0,X2)
| ~ connect(X0,X1,X2) ),
inference(resolution,[status(thm)],[d0,c_113]) ).
cnf(d2,plain,
( connect(sK139,sK140,sK141)
| connect(sK139,sK140,sK141) ),
inference(resolution,[status(thm)],[d1,c_127]) ).
cnf(d3,plain,
connect(sK140,sK139,sK141),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ connect(sK140,sK139,sK141),
inference(resolution,[status(thm)],[d2,c_128]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 12:55:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.20/2.61 % SZS status Theorem for theBenchmark.p
% 16.20/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------