TSTP Solution File: GEO003-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO003-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 05:23:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 12 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,W,V)) ).
cnf(e1,axiom,
V = extension(U,V,W,W) ).
cnf(prove_b_between_a_and_b,negated_conjecture,
~ between(a,b,b) ).
cnf(refute_0_0,plain,
between(X_25,X_26,extension(X_25,X_26,X_23,X_23)),
inference(subst,[],[segment_construction1:[bind(V,$fot(X_23)),bind(W,$fot(X_23)),bind(X,$fot(X_25)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_1,plain,
X_26 = extension(X_25,X_26,X_23,X_23),
inference(subst,[],[e1:[bind(U,$fot(X_25)),bind(V,$fot(X_26)),bind(W,$fot(X_23))]]) ).
cnf(refute_0_2,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_3,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_4,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( X_26 != extension(X_25,X_26,X_23,X_23)
| extension(X_25,X_26,X_23,X_23) = X_26 ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_26)),bind(Y0,$fot(extension(X_25,X_26,X_23,X_23)))]]) ).
cnf(refute_0_6,plain,
extension(X_25,X_26,X_23,X_23) = X_26,
inference(resolve,[$cnf( $equal(X_26,extension(X_25,X_26,X_23,X_23)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( extension(X_25,X_26,X_23,X_23) != X_26
| ~ between(X_25,X_26,extension(X_25,X_26,X_23,X_23))
| between(X_25,X_26,X_26) ),
introduced(tautology,[equality,[$cnf( between(X_25,X_26,extension(X_25,X_26,X_23,X_23)) ),[2],$fot(X_26)]]) ).
cnf(refute_0_8,plain,
( ~ between(X_25,X_26,extension(X_25,X_26,X_23,X_23))
| between(X_25,X_26,X_26) ),
inference(resolve,[$cnf( $equal(extension(X_25,X_26,X_23,X_23),X_26) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
between(X_25,X_26,X_26),
inference(resolve,[$cnf( between(X_25,X_26,extension(X_25,X_26,X_23,X_23)) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
between(a,b,b),
inference(subst,[],[refute_0_9:[bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( between(a,b,b) )],[refute_0_10,prove_b_between_a_and_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.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 11:38:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40
%------------------------------------------------------------------------------