%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO048-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:14:00 AM UTC 2026
% Result : Unsatisfiable 21.14s 18.32s
% Output : CNFRefutation 21.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 19 RR)
% Number of literals : 27 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w) ).
cnf(v1_between_u1_and_w,hypothesis,
between(u1,v1,w) ).
cnf(x_between_u_and_u1,hypothesis,
between(u,x,u1) ).
cnf(prove_conclusion2,negated_conjecture,
~ between(v,'inner$upasch'(v1,'inner$upasch'(u,x,u1,v1,w),u,v,w),v1) ).
cnf(inner_pasch2,axiom,
( between(X4,'inner$upasch'(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ) ).
cnf(c26,plain,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[t1]) ).
cnf(c44,plain,
between(u,v,w),
inference(clausification,[status(esa)],[v_between_u_and_w]) ).
cnf(c45,plain,
between(u1,v1,w),
inference(clausification,[status(esa)],[v1_between_u1_and_w]) ).
cnf(c46,plain,
between(u,x,u1),
inference(clausification,[status(esa)],[x_between_u_and_u1]) ).
cnf(c48,plain,
~ between(v,'inner$upasch'(v1,'inner$upasch'(u,x,u1,v1,w),u,v,w),v1),
inference(clausification,[status(esa)],[prove_conclusion2]) ).
cnf(c57,plain,
( between(X4,'inner$upasch'(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[inner_pasch2]) ).
cnf(d_0,plain,
( ~ between(w,v,u)
| ~ between(v1,'inner$upasch'(u,x,u1,v1,w),u) ),
inference(resolution,[status(thm)],[c57,c48]) ).
cnf(d_1,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c26,c44]) ).
cnf(d_2,plain,
~ between(v1,'inner$upasch'(u,x,u1,v1,w),u),
inference(resolution,[status(thm)],[d_1,d_0]) ).
cnf(d_3,plain,
( ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(resolution,[status(thm)],[d_2,c57]) ).
cnf(d_4,plain,
~ between(w,v1,u1),
inference(resolution,[status(thm)],[c46,d_3]) ).
cnf(d_5,plain,
between(w,v1,u1),
inference(resolution,[status(thm)],[c26,c45]) ).
cnf(d_6,plain,
$false,
inference(resolution,[status(thm)],[d_5,d_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO048-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.43 % CPULimit : 300
% 0.09/15.43 % WCLimit : 300
% 0.09/15.43 % DateTime : Fri Sep 25 12:37:04 UTC 2026
% 0.09/15.43 % CPUTime :
% 0.09/15.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.14/18.32 % SZS status Unsatisfiable for theBenchmark.p
% 21.14/18.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------