%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 21 unt; 0 nHn; 24 RR)
% Number of literals : 52 ( 51 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
response(compose(X,Y),W) = response(X,response(Y,W)) ).
cnf(agreeable1,hypothesis,
response(c,common_bird(X)) = response(X,common_bird(X)) ).
cnf(prove_a_is_agreeable,negated_conjecture,
response(a,V) != response(odd_bird,V) ).
cnf(c_composes_a_with_b,hypothesis,
c = compose(a,b) ).
cnf(refute_0_0,plain,
response(a,response(b,X_5)) != response(odd_bird,response(b,X_5)),
inference(subst,[],[prove_a_is_agreeable:[bind(V,$fot(response(b,X_5)))]]) ).
cnf(refute_0_1,plain,
response(compose(a,b),X_2) = response(a,response(b,X_2)),
inference(subst,[],[composer_exists:[bind(W,$fot(X_2)),bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
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( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( c != compose(a,b)
| compose(a,b) = c ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(c)),bind(Y0,$fot(compose(a,b)))]]) ).
cnf(refute_0_6,plain,
compose(a,b) = c,
inference(resolve,[$cnf( $equal(c,compose(a,b)) )],[c_composes_a_with_b,refute_0_5]) ).
cnf(refute_0_7,plain,
( compose(a,b) != c
| response(compose(a,b),X_2) != response(a,response(b,X_2))
| response(c,X_2) = response(a,response(b,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(response(compose(a,b),X_2),response(a,response(b,X_2))) ),[0,0],$fot(c)]]) ).
cnf(refute_0_8,plain,
( response(compose(a,b),X_2) != response(a,response(b,X_2))
| response(c,X_2) = response(a,response(b,X_2)) ),
inference(resolve,[$cnf( $equal(compose(a,b),c) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
response(c,X_2) = response(a,response(b,X_2)),
inference(resolve,[$cnf( $equal(response(compose(a,b),X_2),response(a,response(b,X_2))) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
response(c,X_5) = response(a,response(b,X_5)),
inference(subst,[],[refute_0_9:[bind(X_2,$fot(X_5))]]) ).
cnf(refute_0_11,plain,
( response(c,X_5) != response(a,response(b,X_5))
| response(a,response(b,X_5)) = response(c,X_5) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(c,X_5))),bind(Y0,$fot(response(a,response(b,X_5))))]]) ).
cnf(refute_0_12,plain,
response(a,response(b,X_5)) = response(c,X_5),
inference(resolve,[$cnf( $equal(response(c,X_5),response(a,response(b,X_5))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( response(a,response(b,X_5)) != response(c,X_5)
| response(c,X_5) != response(odd_bird,response(b,X_5))
| response(a,response(b,X_5)) = response(odd_bird,response(b,X_5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(a,response(b,X_5)),response(odd_bird,response(b,X_5))) ),[0],$fot(response(c,X_5))]]) ).
cnf(refute_0_14,plain,
( response(c,X_5) != response(odd_bird,response(b,X_5))
| response(a,response(b,X_5)) = response(odd_bird,response(b,X_5)) ),
inference(resolve,[$cnf( $equal(response(a,response(b,X_5)),response(c,X_5)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
response(c,X_5) != response(odd_bird,response(b,X_5)),
inference(resolve,[$cnf( $equal(response(a,response(b,X_5)),response(odd_bird,response(b,X_5))) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
response(c,common_bird(compose(odd_bird,b))) != response(odd_bird,response(b,common_bird(compose(odd_bird,b)))),
inference(subst,[],[refute_0_15:[bind(X_5,$fot(common_bird(compose(odd_bird,b))))]]) ).
cnf(refute_0_17,plain,
response(c,common_bird(compose(X_3,X_4))) = response(compose(X_3,X_4),common_bird(compose(X_3,X_4))),
inference(subst,[],[agreeable1:[bind(X,$fot(compose(X_3,X_4)))]]) ).
cnf(refute_0_18,plain,
response(compose(X_3,X_4),common_bird(compose(X_3,X_4))) = response(X_3,response(X_4,common_bird(compose(X_3,X_4)))),
inference(subst,[],[composer_exists:[bind(W,$fot(common_bird(compose(X_3,X_4)))),bind(X,$fot(X_3)),bind(Y,$fot(X_4))]]) ).
cnf(refute_0_19,plain,
( response(c,common_bird(compose(X_3,X_4))) != response(compose(X_3,X_4),common_bird(compose(X_3,X_4)))
| response(compose(X_3,X_4),common_bird(compose(X_3,X_4))) != response(X_3,response(X_4,common_bird(compose(X_3,X_4))))
| response(c,common_bird(compose(X_3,X_4))) = response(X_3,response(X_4,common_bird(compose(X_3,X_4)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(c,common_bird(compose(X_3,X_4))),response(X_3,response(X_4,common_bird(compose(X_3,X_4))))) ),[0],$fot(response(compose(X_3,X_4),common_bird(compose(X_3,X_4))))]]) ).
cnf(refute_0_20,plain,
( response(c,common_bird(compose(X_3,X_4))) != response(compose(X_3,X_4),common_bird(compose(X_3,X_4)))
| response(c,common_bird(compose(X_3,X_4))) = response(X_3,response(X_4,common_bird(compose(X_3,X_4)))) ),
inference(resolve,[$cnf( $equal(response(compose(X_3,X_4),common_bird(compose(X_3,X_4))),response(X_3,response(X_4,common_bird(compose(X_3,X_4))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
response(c,common_bird(compose(X_3,X_4))) = response(X_3,response(X_4,common_bird(compose(X_3,X_4)))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(X_3,X_4))),response(compose(X_3,X_4),common_bird(compose(X_3,X_4)))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
response(c,common_bird(compose(odd_bird,b))) = response(odd_bird,response(b,common_bird(compose(odd_bird,b)))),
inference(subst,[],[refute_0_21:[bind(X_3,$fot(odd_bird)),bind(X_4,$fot(b))]]) ).
cnf(refute_0_23,plain,
( response(c,common_bird(compose(odd_bird,b))) != response(odd_bird,response(b,common_bird(compose(odd_bird,b))))
| response(odd_bird,response(b,common_bird(compose(odd_bird,b)))) = response(c,common_bird(compose(odd_bird,b))) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(c,common_bird(compose(odd_bird,b))))),bind(Y0,$fot(response(odd_bird,response(b,common_bird(compose(odd_bird,b))))))]]) ).
cnf(refute_0_24,plain,
response(odd_bird,response(b,common_bird(compose(odd_bird,b)))) = response(c,common_bird(compose(odd_bird,b))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(odd_bird,b))),response(odd_bird,response(b,common_bird(compose(odd_bird,b))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( response(c,common_bird(compose(odd_bird,b))) != response(c,common_bird(compose(odd_bird,b)))
| response(odd_bird,response(b,common_bird(compose(odd_bird,b)))) != response(c,common_bird(compose(odd_bird,b)))
| response(c,common_bird(compose(odd_bird,b))) = response(odd_bird,response(b,common_bird(compose(odd_bird,b)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(c,common_bird(compose(odd_bird,b))),response(odd_bird,response(b,common_bird(compose(odd_bird,b))))) ),[1],$fot(response(c,common_bird(compose(odd_bird,b))))]]) ).
cnf(refute_0_26,plain,
( response(c,common_bird(compose(odd_bird,b))) != response(c,common_bird(compose(odd_bird,b)))
| response(c,common_bird(compose(odd_bird,b))) = response(odd_bird,response(b,common_bird(compose(odd_bird,b)))) ),
inference(resolve,[$cnf( $equal(response(odd_bird,response(b,common_bird(compose(odd_bird,b)))),response(c,common_bird(compose(odd_bird,b)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
response(c,common_bird(compose(odd_bird,b))) != response(c,common_bird(compose(odd_bird,b))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(odd_bird,b))),response(odd_bird,response(b,common_bird(compose(odd_bird,b))))) )],[refute_0_26,refute_0_16]) ).
cnf(refute_0_28,plain,
response(c,common_bird(compose(odd_bird,b))) = response(c,common_bird(compose(odd_bird,b))),
introduced(tautology,[refl,[$fot(response(c,common_bird(compose(odd_bird,b))))]]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(odd_bird,b))),response(c,common_bird(compose(odd_bird,b)))) )],[refute_0_28,refute_0_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.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 : Tue May 31 06:12:13 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35
% 0.19/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------