%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO118-1 : 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 : n020.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 07:14:13 AM UTC 2026
% Result : Unsatisfiable 22.80s 3.34s
% Output : CNFRefutation 22.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 2 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 33 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_4_5_133,negated_conjecture,
'ordered$uby'(sk25,sk26,sk27) ).
cnf(theorem_4_5_134,negated_conjecture,
'ordered$uby'(sk25,sk27,sk26) ).
cnf(between_c_defn_1,axiom,
( X1 != X3
| ~ 'between$uc'(X0,X1,X2,X3) ) ).
cnf(between_o_defn_5,axiom,
( 'between$uo'(X0,X1,X2,X3)
| ~ 'ordered$uby'(X0,X2,X3)
| ~ 'ordered$uby'(X0,X1,X2) ) ).
cnf(o3_24,axiom,
( 'between$uc'('ax2$usk4'(X0,X3,X2,X1),X1,X2,X3)
| ~ 'between$uo'(X0,X1,X2,X3) ) ).
cnf(c0,plain,
'ordered$uby'(sk25,sk26,sk27),
inference(clausification,[status(esa)],[theorem_4_5_133]) ).
cnf(c1,plain,
'ordered$uby'(sk25,sk27,sk26),
inference(clausification,[status(esa)],[theorem_4_5_134]) ).
cnf(c50,plain,
( X1 != X3
| ~ 'between$uc'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[between_c_defn_1]) ).
cnf(c60,plain,
( 'between$uo'(X0,X1,X2,X3)
| ~ 'ordered$uby'(X0,X2,X3)
| ~ 'ordered$uby'(X0,X1,X2) ),
inference(clausification,[status(esa)],[between_o_defn_5]) ).
cnf(c79,plain,
( 'between$uc'('ax2$usk4'(X0,X3,X2,X1),X1,X2,X3)
| ~ 'between$uo'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[o3_24]) ).
cnf(d0,plain,
~ 'between$uc'(X0,X1,X2,X1),
inference(equality_resolution,[status(thm)],[c50]) ).
cnf(d1,plain,
~ 'between$uo'(X0,X1,X2,X1),
inference(resolution,[status(thm)],[c79,d0]) ).
cnf(d2,plain,
( ~ 'ordered$uby'(X0,X2,X1)
| ~ 'ordered$uby'(X0,X1,X2) ),
inference(resolution,[status(thm)],[d1,c60]) ).
cnf(d3,plain,
~ 'ordered$uby'(sk25,sk26,sk27),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c0,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 12:50:03 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.80/3.34 % SZS status Unsatisfiable for theBenchmark.p
% 22.80/3.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------