%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 07:14:01 AM UTC 2026
% Result : Unsatisfiable 34.19s 4.79s
% Output : CNFRefutation 34.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 13 unt; 5 nHn; 20 RR)
% Number of literals : 32 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ) ).
cnf(t9,axiom,
( between(X0,X3,X1)
| between(X0,X1,X3)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x) ).
cnf(w_not_between_v_and_x,hypothesis,
~ between(v,w,x) ).
cnf(prove_v_between_w_and_x,negated_conjecture,
~ between(w,v,x) ).
cnf(c26,plain,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[t1]) ).
cnf(c59,plain,
( between(X0,X3,X1)
| between(X0,X1,X3)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[t9]) ).
cnf(c60,plain,
between(u,v,x),
inference(clausification,[status(esa)],[v_between_u_and_x]) ).
cnf(c61,plain,
between(u,w,x),
inference(clausification,[status(esa)],[w_between_u_and_x]) ).
cnf(c62,plain,
~ between(v,w,x),
inference(clausification,[status(esa)],[w_not_between_v_and_x]) ).
cnf(c63,plain,
~ between(w,v,x),
inference(clausification,[status(esa)],[prove_v_between_w_and_x]) ).
cnf(d_0,plain,
between(x,v,u),
inference(resolution,[status(thm)],[c26,c60]) ).
cnf(d_1,plain,
between(x,w,u),
inference(resolution,[status(thm)],[c26,c61]) ).
cnf(d_2,plain,
( between(x,w,X0)
| between(x,X0,w)
| ~ between(x,X0,u) ),
inference(resolution,[status(thm)],[c59,d_1]) ).
cnf(d_3,plain,
( between(x,w,v)
| between(x,v,w) ),
inference(resolution,[status(thm)],[d_2,d_0]) ).
cnf(d_4,plain,
( between(v,w,x)
| between(x,v,w) ),
inference(resolution,[status(thm)],[d_3,c26]) ).
cnf(d_5,plain,
between(x,v,w),
inference(resolution,[status(thm)],[c62,d_4]) ).
cnf(d_6,plain,
between(w,v,x),
inference(resolution,[status(thm)],[d_5,c26]) ).
cnf(d_7,plain,
$false,
inference(resolution,[status(thm)],[c63,d_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.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 12:37:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.19/4.79 % SZS status Unsatisfiable for theBenchmark.p
% 34.19/4.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------