TSTP Solution File: GEO036-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:23:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 12 unt; 7 nHn; 27 RR)
% Number of literals : 56 ( 33 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ).
cnf(t2,axiom,
between(U,U,V) ).
cnf(prove_axioms_points_are_distinct,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( lower_dimension_point_2 != lower_dimension_point_3
| lower_dimension_point_3 = lower_dimension_point_2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(lower_dimension_point_2)),bind(Y,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_4,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3
| lower_dimension_point_3 = lower_dimension_point_2 ),
inference(resolve,[$cnf( $equal(lower_dimension_point_2,lower_dimension_point_3) )],[prove_axioms_points_are_distinct,refute_0_3]) ).
cnf(refute_0_5,plain,
( lower_dimension_point_3 != lower_dimension_point_2
| ~ between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(tautology,[equality,[$cnf( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),[1],$fot(lower_dimension_point_2)]]) ).
cnf(refute_0_6,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
| lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(resolve,[$cnf( $equal(lower_dimension_point_3,lower_dimension_point_2) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
| lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) )],[refute_0_6,lower_dimension2]) ).
cnf(refute_0_8,plain,
between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1),
inference(subst,[],[t2:[bind(U,$fot(lower_dimension_point_2)),bind(V,$fot(lower_dimension_point_1))]]) ).
cnf(refute_0_9,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( lower_dimension_point_1 != lower_dimension_point_3
| lower_dimension_point_3 = lower_dimension_point_1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(lower_dimension_point_1)),bind(Y,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_11,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_3 = lower_dimension_point_1 ),
inference(resolve,[$cnf( $equal(lower_dimension_point_1,lower_dimension_point_3) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( lower_dimension_point_3 != lower_dimension_point_1
| ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(tautology,[equality,[$cnf( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),[0],$fot(lower_dimension_point_1)]]) ).
cnf(refute_0_13,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = lower_dimension_point_2
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolve,[$cnf( $equal(lower_dimension_point_3,lower_dimension_point_1) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = lower_dimension_point_2 ),
inference(resolve,[$cnf( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) )],[refute_0_13,lower_dimension3]) ).
cnf(refute_0_15,plain,
between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),
inference(subst,[],[t2:[bind(U,$fot(lower_dimension_point_1)),bind(V,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_16,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( lower_dimension_point_1 != lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(lower_dimension_point_1)),bind(Y,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_18,plain,
lower_dimension_point_2 = lower_dimension_point_1,
inference(resolve,[$cnf( $equal(lower_dimension_point_1,lower_dimension_point_2) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( lower_dimension_point_2 != lower_dimension_point_1
| ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(tautology,[equality,[$cnf( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),[1],$fot(lower_dimension_point_1)]]) ).
cnf(refute_0_20,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolve,[$cnf( $equal(lower_dimension_point_2,lower_dimension_point_1) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3),
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )],[refute_0_20,lower_dimension1]) ).
cnf(refute_0_22,plain,
between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3),
inference(subst,[],[t2:[bind(U,$fot(lower_dimension_point_1)),bind(V,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3) )],[refute_0_22,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 01:28:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
%------------------------------------------------------------------------------