TSTP Solution File: COL058-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 : Fri Jul 15 00:36:19 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 18 unt; 0 nHn; 21 RR)
% Number of literals : 44 ( 43 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)) ).
cnf(prove_the_bird_exists,negated_conjecture,
response(X,X) != X ).
cnf(refute_0_0,plain,
response(response(X_2,X_2),response(X_2,X_2)) != response(X_2,X_2),
inference(subst,[],[prove_the_bird_exists:[bind(X,$fot(response(X_2,X_2)))]]) ).
cnf(refute_0_1,plain,
response(response(lark,response(X_2,X_2)),X_2) = response(response(X_2,X_2),response(X_2,X_2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(X_2,X_2))),bind(X2,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_3,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( response(response(lark,response(X_2,X_2)),X_2) != response(response(X_2,X_2),response(X_2,X_2))
| response(response(X_2,X_2),response(X_2,X_2)) = response(response(lark,response(X_2,X_2)),X_2) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(response(lark,response(X_2,X_2)),X_2))),bind(Y,$fot(response(response(X_2,X_2),response(X_2,X_2))))]]) ).
cnf(refute_0_6,plain,
response(response(X_2,X_2),response(X_2,X_2)) = response(response(lark,response(X_2,X_2)),X_2),
inference(resolve,[$cnf( $equal(response(response(lark,response(X_2,X_2)),X_2),response(response(X_2,X_2),response(X_2,X_2))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( response(response(X_2,X_2),response(X_2,X_2)) != response(response(lark,response(X_2,X_2)),X_2)
| response(response(lark,response(X_2,X_2)),X_2) != response(X_2,X_2)
| response(response(X_2,X_2),response(X_2,X_2)) = response(X_2,X_2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(X_2,X_2),response(X_2,X_2)),response(X_2,X_2)) ),[0],$fot(response(response(lark,response(X_2,X_2)),X_2))]]) ).
cnf(refute_0_8,plain,
( response(response(lark,response(X_2,X_2)),X_2) != response(X_2,X_2)
| response(response(X_2,X_2),response(X_2,X_2)) = response(X_2,X_2) ),
inference(resolve,[$cnf( $equal(response(response(X_2,X_2),response(X_2,X_2)),response(response(lark,response(X_2,X_2)),X_2)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
response(response(lark,response(X_2,X_2)),X_2) != response(X_2,X_2),
inference(resolve,[$cnf( $equal(response(response(X_2,X_2),response(X_2,X_2)),response(X_2,X_2)) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
response(response(lark,response(X_3,X_3)),X_3) != response(X_3,X_3),
inference(subst,[],[refute_0_9:[bind(X_2,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
response(response(lark,lark),X_3) = response(lark,response(X_3,X_3)),
inference(subst,[],[lark_exists:[bind(X1,$fot(lark)),bind(X2,$fot(X_3))]]) ).
cnf(refute_0_12,plain,
( response(response(lark,lark),X_3) != response(lark,response(X_3,X_3))
| response(lark,response(X_3,X_3)) = response(response(lark,lark),X_3) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(response(lark,lark),X_3))),bind(Y,$fot(response(lark,response(X_3,X_3))))]]) ).
cnf(refute_0_13,plain,
response(lark,response(X_3,X_3)) = response(response(lark,lark),X_3),
inference(resolve,[$cnf( $equal(response(response(lark,lark),X_3),response(lark,response(X_3,X_3))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( response(lark,response(X_3,X_3)) != response(response(lark,lark),X_3)
| response(response(response(lark,lark),X_3),X_3) != response(X_3,X_3)
| response(response(lark,response(X_3,X_3)),X_3) = response(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(lark,response(X_3,X_3)),X_3),response(X_3,X_3)) ),[0,0],$fot(response(response(lark,lark),X_3))]]) ).
cnf(refute_0_15,plain,
( response(response(response(lark,lark),X_3),X_3) != response(X_3,X_3)
| response(response(lark,response(X_3,X_3)),X_3) = response(X_3,X_3) ),
inference(resolve,[$cnf( $equal(response(lark,response(X_3,X_3)),response(response(lark,lark),X_3)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
response(response(response(lark,lark),X_3),X_3) != response(X_3,X_3),
inference(resolve,[$cnf( $equal(response(response(lark,response(X_3,X_3)),X_3),response(X_3,X_3)) )],[refute_0_15,refute_0_10]) ).
cnf(refute_0_17,plain,
response(response(response(lark,lark),response(X2,X2)),response(X2,X2)) != response(response(X2,X2),response(X2,X2)),
inference(subst,[],[refute_0_16:[bind(X_3,$fot(response(X2,X2)))]]) ).
cnf(refute_0_18,plain,
response(response(lark,response(lark,lark)),X2) = response(response(lark,lark),response(X2,X2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(lark,lark)))]]) ).
cnf(refute_0_19,plain,
( response(response(lark,response(lark,lark)),X2) != response(response(lark,lark),response(X2,X2))
| response(response(lark,lark),response(X2,X2)) = response(response(lark,response(lark,lark)),X2) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(response(lark,response(lark,lark)),X2))),bind(Y,$fot(response(response(lark,lark),response(X2,X2))))]]) ).
cnf(refute_0_20,plain,
response(response(lark,lark),response(X2,X2)) = response(response(lark,response(lark,lark)),X2),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,lark)),X2),response(response(lark,lark),response(X2,X2))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( response(response(lark,lark),response(X2,X2)) != response(response(lark,response(lark,lark)),X2)
| response(response(response(lark,response(lark,lark)),X2),response(X2,X2)) != response(response(X2,X2),response(X2,X2))
| response(response(response(lark,lark),response(X2,X2)),response(X2,X2)) = response(response(X2,X2),response(X2,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(response(lark,lark),response(X2,X2)),response(X2,X2)),response(response(X2,X2),response(X2,X2))) ),[0,0],$fot(response(response(lark,response(lark,lark)),X2))]]) ).
cnf(refute_0_22,plain,
( response(response(response(lark,response(lark,lark)),X2),response(X2,X2)) != response(response(X2,X2),response(X2,X2))
| response(response(response(lark,lark),response(X2,X2)),response(X2,X2)) = response(response(X2,X2),response(X2,X2)) ),
inference(resolve,[$cnf( $equal(response(response(lark,lark),response(X2,X2)),response(response(lark,response(lark,lark)),X2)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
response(response(response(lark,response(lark,lark)),X2),response(X2,X2)) != response(response(X2,X2),response(X2,X2)),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),response(X2,X2)),response(X2,X2)),response(response(X2,X2),response(X2,X2))) )],[refute_0_22,refute_0_17]) ).
cnf(refute_0_24,plain,
response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(subst,[],[refute_0_23:[bind(X2,$fot(response(lark,response(lark,lark))))]]) ).
cnf(refute_0_25,plain,
response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
introduced(tautology,[refl,[$fot(response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( $equal(response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) )],[refute_0_25,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 13:22:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38
%------------------------------------------------------------------------------