TSTP Solution File: COL051-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL051-1 : 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 00:36:18 EDT 2022
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 18 unt; 0 nHn; 18 RR)
% Number of literals : 42 ( 41 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mocking_bird_exists,axiom,
response(mocking_bird,Y) = response(Y,Y) ).
cnf(composer_exists,hypothesis,
response(compose(X,Y),W) = response(X,response(Y,W)) ).
cnf(prove_the_bird_exists,negated_conjecture,
response(X,X) != X ).
cnf(refute_0_0,plain,
response(X_1,X_1) != X_1,
inference(subst,[],[prove_the_bird_exists:[bind(X,$fot(X_1))]]) ).
cnf(refute_0_1,plain,
response(mocking_bird,X_1) = response(X_1,X_1),
inference(subst,[],[mocking_bird_exists:[bind(Y,$fot(X_1))]]) ).
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( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( response(mocking_bird,X_1) != response(X_1,X_1)
| response(X_1,X_1) = response(mocking_bird,X_1) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(mocking_bird,X_1))),bind(Y0,$fot(response(X_1,X_1)))]]) ).
cnf(refute_0_6,plain,
response(X_1,X_1) = response(mocking_bird,X_1),
inference(resolve,[$cnf( $equal(response(mocking_bird,X_1),response(X_1,X_1)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( response(X_1,X_1) != response(mocking_bird,X_1)
| response(mocking_bird,X_1) != X_1
| response(X_1,X_1) = X_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(X_1,X_1),X_1) ),[0],$fot(response(mocking_bird,X_1))]]) ).
cnf(refute_0_8,plain,
( response(mocking_bird,X_1) != X_1
| response(X_1,X_1) = X_1 ),
inference(resolve,[$cnf( $equal(response(X_1,X_1),response(mocking_bird,X_1)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
response(mocking_bird,X_1) != X_1,
inference(resolve,[$cnf( $equal(response(X_1,X_1),X_1) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) != response(X_9,compose(mocking_bird,X_9)),
inference(subst,[],[refute_0_9:[bind(X_1,$fot(response(X_9,compose(mocking_bird,X_9))))]]) ).
cnf(refute_0_11,plain,
response(mocking_bird,compose(X_4,X_5)) = response(compose(X_4,X_5),compose(X_4,X_5)),
inference(subst,[],[mocking_bird_exists:[bind(Y,$fot(compose(X_4,X_5)))]]) ).
cnf(refute_0_12,plain,
response(compose(X_4,X_5),compose(X_4,X_5)) = response(X_4,response(X_5,compose(X_4,X_5))),
inference(subst,[],[composer_exists:[bind(W,$fot(compose(X_4,X_5))),bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_13,plain,
( response(compose(X_4,X_5),compose(X_4,X_5)) != response(X_4,response(X_5,compose(X_4,X_5)))
| response(mocking_bird,compose(X_4,X_5)) != response(compose(X_4,X_5),compose(X_4,X_5))
| response(mocking_bird,compose(X_4,X_5)) = response(X_4,response(X_5,compose(X_4,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(response(mocking_bird,compose(X_4,X_5)),response(compose(X_4,X_5),compose(X_4,X_5))) ),[1],$fot(response(X_4,response(X_5,compose(X_4,X_5))))]]) ).
cnf(refute_0_14,plain,
( response(mocking_bird,compose(X_4,X_5)) != response(compose(X_4,X_5),compose(X_4,X_5))
| response(mocking_bird,compose(X_4,X_5)) = response(X_4,response(X_5,compose(X_4,X_5))) ),
inference(resolve,[$cnf( $equal(response(compose(X_4,X_5),compose(X_4,X_5)),response(X_4,response(X_5,compose(X_4,X_5)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
response(mocking_bird,compose(X_4,X_5)) = response(X_4,response(X_5,compose(X_4,X_5))),
inference(resolve,[$cnf( $equal(response(mocking_bird,compose(X_4,X_5)),response(compose(X_4,X_5),compose(X_4,X_5))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
response(mocking_bird,compose(mocking_bird,X_9)) = response(mocking_bird,response(X_9,compose(mocking_bird,X_9))),
inference(subst,[],[refute_0_15:[bind(X_4,$fot(mocking_bird)),bind(X_5,$fot(X_9))]]) ).
cnf(refute_0_17,plain,
( response(mocking_bird,compose(mocking_bird,X_9)) != response(mocking_bird,response(X_9,compose(mocking_bird,X_9)))
| response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) = response(mocking_bird,compose(mocking_bird,X_9)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(mocking_bird,compose(mocking_bird,X_9)))),bind(Y0,$fot(response(mocking_bird,response(X_9,compose(mocking_bird,X_9)))))]]) ).
cnf(refute_0_18,plain,
response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) = response(mocking_bird,compose(mocking_bird,X_9)),
inference(resolve,[$cnf( $equal(response(mocking_bird,compose(mocking_bird,X_9)),response(mocking_bird,response(X_9,compose(mocking_bird,X_9)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( response(mocking_bird,compose(mocking_bird,X_9)) != response(X_9,compose(mocking_bird,X_9))
| response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) != response(mocking_bird,compose(mocking_bird,X_9))
| response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) = response(X_9,compose(mocking_bird,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(response(mocking_bird,response(X_9,compose(mocking_bird,X_9))),response(mocking_bird,compose(mocking_bird,X_9))) ),[1],$fot(response(X_9,compose(mocking_bird,X_9)))]]) ).
cnf(refute_0_20,plain,
( response(mocking_bird,compose(mocking_bird,X_9)) != response(X_9,compose(mocking_bird,X_9))
| response(mocking_bird,response(X_9,compose(mocking_bird,X_9))) = response(X_9,compose(mocking_bird,X_9)) ),
inference(resolve,[$cnf( $equal(response(mocking_bird,response(X_9,compose(mocking_bird,X_9))),response(mocking_bird,compose(mocking_bird,X_9))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
response(mocking_bird,compose(mocking_bird,X_9)) != response(X_9,compose(mocking_bird,X_9)),
inference(resolve,[$cnf( $equal(response(mocking_bird,response(X_9,compose(mocking_bird,X_9))),response(X_9,compose(mocking_bird,X_9))) )],[refute_0_20,refute_0_10]) ).
cnf(refute_0_22,plain,
response(mocking_bird,compose(mocking_bird,mocking_bird)) != response(mocking_bird,compose(mocking_bird,mocking_bird)),
inference(subst,[],[refute_0_21:[bind(X_9,$fot(mocking_bird))]]) ).
cnf(refute_0_23,plain,
response(mocking_bird,compose(mocking_bird,mocking_bird)) = response(mocking_bird,compose(mocking_bird,mocking_bird)),
introduced(tautology,[refl,[$fot(response(mocking_bird,compose(mocking_bird,mocking_bird)))]]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( $equal(response(mocking_bird,compose(mocking_bird,mocking_bird)),response(mocking_bird,compose(mocking_bird,mocking_bird))) )],[refute_0_23,refute_0_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL051-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue May 31 11:30:26 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37
% 0.15/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37
%------------------------------------------------------------------------------