TSTP Solution File: SWC328-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Tue Jul 19 21:27:45 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 10 unt; 0 nHn; 23 RR)
% Number of literals : 42 ( 19 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
equalelemsP(nil) ).
cnf(clause56,axiom,
( ~ ssList(U)
| segmentP(U,nil) ) ).
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
nil = sk3 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ) ).
cnf(refute_0_0,plain,
( ~ ssList(sk2)
| segmentP(sk2,nil) ),
inference(subst,[],[clause56:[bind(U,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
segmentP(sk2,nil),
inference(resolve,[$cnf( ssList(sk2) )],[co1_2,refute_0_0]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( nil != sk3
| sk3 = nil ),
inference(subst,[],[refute_0_4:[bind(X,$fot(nil)),bind(Y,$fot(sk3))]]) ).
cnf(refute_0_6,plain,
sk3 = nil,
inference(resolve,[$cnf( $equal(nil,sk3) )],[co1_5,refute_0_5]) ).
cnf(refute_0_7,plain,
( sk1 != sk3
| sk3 != nil
| sk1 = nil ),
introduced(tautology,[equality,[$cnf( ~ $equal(sk1,nil) ),[0],$fot(sk3)]]) ).
cnf(refute_0_8,plain,
( sk1 != sk3
| sk1 = nil ),
inference(resolve,[$cnf( $equal(sk3,nil) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
sk1 = nil,
inference(resolve,[$cnf( $equal(sk1,sk3) )],[co1_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( sk1 != nil
| ~ equalelemsP(nil)
| equalelemsP(sk1) ),
introduced(tautology,[equality,[$cnf( ~ equalelemsP(sk1) ),[0],$fot(nil)]]) ).
cnf(refute_0_11,plain,
( ~ equalelemsP(nil)
| equalelemsP(sk1) ),
inference(resolve,[$cnf( $equal(sk1,nil) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ equalelemsP(nil)
| ~ segmentP(sk2,sk1) ),
inference(resolve,[$cnf( equalelemsP(sk1) )],[refute_0_11,co1_8]) ).
cnf(refute_0_13,plain,
( sk1 != nil
| ~ segmentP(sk2,nil)
| segmentP(sk2,sk1) ),
introduced(tautology,[equality,[$cnf( ~ segmentP(sk2,sk1) ),[1],$fot(nil)]]) ).
cnf(refute_0_14,plain,
( ~ segmentP(sk2,nil)
| segmentP(sk2,sk1) ),
inference(resolve,[$cnf( $equal(sk1,nil) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ equalelemsP(nil)
| ~ segmentP(sk2,nil) ),
inference(resolve,[$cnf( segmentP(sk2,sk1) )],[refute_0_14,refute_0_12]) ).
cnf(refute_0_16,plain,
~ segmentP(sk2,nil),
inference(resolve,[$cnf( equalelemsP(nil) )],[clause1,refute_0_15]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( segmentP(sk2,nil) )],[refute_0_1,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 12 17:14:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44
% 0.21/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.44
%------------------------------------------------------------------------------