TSTP Solution File: SWC209-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWC209-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 21:27:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 14 unt; 6 nHn; 35 RR)
% Number of literals : 64 ( 41 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil) ).
cnf(co1_8,negated_conjecture,
~ neq(sk1,nil) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ) ).
cnf(co1_11,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ) ).
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( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( sk1 != sk3
| sk3 = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(sk3))]]) ).
cnf(refute_0_4,plain,
sk3 = sk1,
inference(resolve,[$cnf( $equal(sk1,sk3) )],[co1_6,refute_0_3]) ).
cnf(refute_0_5,plain,
( nil != sk3
| sk3 != sk1
| nil = sk1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(nil,sk1) ),[0],$fot(sk3)]]) ).
cnf(refute_0_6,plain,
( nil != sk3
| nil = sk1 ),
inference(resolve,[$cnf( $equal(sk3,sk1) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( nil = sk1
| neq(sk3,nil) ),
inference(resolve,[$cnf( $equal(nil,sk3) )],[co1_11,refute_0_6]) ).
cnf(refute_0_8,plain,
( sk3 != sk1
| ~ neq(sk3,nil)
| neq(sk1,nil) ),
introduced(tautology,[equality,[$cnf( neq(sk3,nil) ),[0],$fot(sk1)]]) ).
cnf(refute_0_9,plain,
( ~ neq(sk3,nil)
| neq(sk1,nil) ),
inference(resolve,[$cnf( $equal(sk3,sk1) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( nil = sk1
| neq(sk1,nil) ),
inference(resolve,[$cnf( neq(sk3,nil) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
nil = sk1,
inference(resolve,[$cnf( neq(sk1,nil) )],[refute_0_10,co1_8]) ).
cnf(refute_0_12,plain,
( nil != sk1
| sk1 = nil ),
inference(subst,[],[refute_0_2:[bind(X,$fot(nil)),bind(Y,$fot(sk1))]]) ).
cnf(refute_0_13,plain,
sk1 = nil,
inference(resolve,[$cnf( $equal(nil,sk1) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( sk1 != nil
| ~ neq(nil,nil)
| neq(sk1,nil) ),
introduced(tautology,[equality,[$cnf( ~ neq(sk1,nil) ),[0],$fot(nil)]]) ).
cnf(refute_0_15,plain,
( ~ neq(nil,nil)
| neq(sk1,nil) ),
inference(resolve,[$cnf( $equal(sk1,nil) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
~ neq(nil,nil),
inference(resolve,[$cnf( neq(sk1,nil) )],[refute_0_15,co1_8]) ).
cnf(refute_0_17,plain,
( sk2 != sk4
| sk4 = sk2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk2)),bind(Y,$fot(sk4))]]) ).
cnf(refute_0_18,plain,
sk4 = sk2,
inference(resolve,[$cnf( $equal(sk2,sk4) )],[co1_5,refute_0_17]) ).
cnf(refute_0_19,plain,
( nil != sk4
| sk4 != sk2
| nil = sk2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(nil,sk2) ),[0],$fot(sk4)]]) ).
cnf(refute_0_20,plain,
( nil != sk4
| nil = sk2 ),
inference(resolve,[$cnf( $equal(sk4,sk2) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( nil = sk2
| neq(sk3,nil) ),
inference(resolve,[$cnf( $equal(nil,sk4) )],[co1_9,refute_0_20]) ).
cnf(refute_0_22,plain,
( nil = sk2
| neq(sk1,nil) ),
inference(resolve,[$cnf( neq(sk3,nil) )],[refute_0_21,refute_0_9]) ).
cnf(refute_0_23,plain,
nil = sk2,
inference(resolve,[$cnf( neq(sk1,nil) )],[refute_0_22,co1_8]) ).
cnf(refute_0_24,plain,
( nil != sk2
| sk2 = nil ),
inference(subst,[],[refute_0_2:[bind(X,$fot(nil)),bind(Y,$fot(sk2))]]) ).
cnf(refute_0_25,plain,
sk2 = nil,
inference(resolve,[$cnf( $equal(nil,sk2) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( sk2 != nil
| ~ neq(sk2,nil)
| neq(nil,nil) ),
introduced(tautology,[equality,[$cnf( neq(sk2,nil) ),[0],$fot(nil)]]) ).
cnf(refute_0_27,plain,
( ~ neq(sk2,nil)
| neq(nil,nil) ),
inference(resolve,[$cnf( $equal(sk2,nil) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
neq(nil,nil),
inference(resolve,[$cnf( neq(sk2,nil) )],[co1_7,refute_0_27]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( neq(nil,nil) )],[refute_0_28,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC209-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 05:03:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
%------------------------------------------------------------------------------