%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO036-3 : 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 : 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 07:13:58 AM UTC 2026
% Result : Unsatisfiable 16.43s 4.13s
% Output : CNFRefutation 16.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 11 unt; 4 nHn; 12 RR)
% Number of literals : 24 ( 12 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
between(X0,X1,X1) ).
cnf(t2,axiom,
between(X0,X0,X1) ).
cnf(prove_axioms_points_are_distinct,negated_conjecture,
( 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u2' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2' ) ).
cnf(lower_dimension1,axiom,
~ between('lower$udimension$upoint$u1','lower$udimension$upoint$u2','lower$udimension$upoint$u3') ).
cnf(lower_dimension2,axiom,
~ between('lower$udimension$upoint$u2','lower$udimension$upoint$u3','lower$udimension$upoint$u1') ).
cnf(c24,plain,
between(X0,X1,X1),
inference(clausification,[status(esa)],[t3]) ).
cnf(c27,plain,
between(X0,X0,X1),
inference(clausification,[status(esa)],[t2]) ).
cnf(c38,plain,
( 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u2' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2' ),
inference(clausification,[status(esa)],[prove_axioms_points_are_distinct]) ).
cnf(c48,plain,
~ between('lower$udimension$upoint$u1','lower$udimension$upoint$u2','lower$udimension$upoint$u3'),
inference(clausification,[status(esa)],[lower_dimension1]) ).
cnf(c49,plain,
~ between('lower$udimension$upoint$u2','lower$udimension$upoint$u3','lower$udimension$upoint$u1'),
inference(clausification,[status(esa)],[lower_dimension2]) ).
cnf(d_0,plain,
( 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2'
| ~ between('lower$udimension$upoint$u2','lower$udimension$upoint$u2','lower$udimension$upoint$u1') ),
inference(superposition,[status(thm)],[c38,c49]) ).
cnf(d_1,plain,
( 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u3'
| 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2' ),
inference(resolution,[status(thm)],[c27,d_0]) ).
cnf(d_2,plain,
( 'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2'
| ~ between('lower$udimension$upoint$u2','lower$udimension$upoint$u1','lower$udimension$upoint$u1') ),
inference(superposition,[status(thm)],[d_1,c49]) ).
cnf(d_3,plain,
'lower$udimension$upoint$u1' = 'lower$udimension$upoint$u2',
inference(resolution,[status(thm)],[c24,d_2]) ).
cnf(d_4,plain,
~ between('lower$udimension$upoint$u1','lower$udimension$upoint$u1','lower$udimension$upoint$u3'),
inference(demodulation,[status(thm)],[c48,d_3]) ).
cnf(d_5,plain,
$false,
inference(resolution,[status(thm)],[c27,d_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 12:36:08 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.43/4.13 % SZS status Unsatisfiable for theBenchmark.p
% 16.43/4.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------