%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 21 unt; 0 nHn; 28 RR)
% Number of literals : 64 ( 56 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
response(compose(X,Y),W) = response(X,response(Y,W)) ).
cnf(agreeable1,axiom,
( ~ agreeable(X)
| response(X,common_bird(Y)) = response(Y,common_bird(Y)) ) ).
cnf(agreeable2,axiom,
( response(X,Z) != response(compatible(X),Z)
| agreeable(X) ) ).
cnf(c_is_agreeable,hypothesis,
agreeable(c) ).
cnf(prove_a_is_agreeable,negated_conjecture,
~ agreeable(a) ).
cnf(c_composes_a_with_b,hypothesis,
c = compose(a,b) ).
cnf(refute_0_0,plain,
( response(a,response(b,X_0)) != response(compatible(a),response(b,X_0))
| agreeable(a) ),
inference(subst,[],[agreeable2:[bind(X,$fot(a)),bind(Z,$fot(response(b,X_0)))]]) ).
cnf(refute_0_1,plain,
response(compose(a,b),X_0) = response(a,response(b,X_0)),
inference(subst,[],[composer_exists:[bind(W,$fot(X_0)),bind(X,$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( $equal(c,compose(a,b)) )],[c_composes_a_with_b,refute_0_5]) ).
cnf(refute_0_7,plain,
( compose(a,b) != c
| response(compose(a,b),X_0) != response(a,response(b,X_0))
| response(c,X_0) = response(a,response(b,X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(response(compose(a,b),X_0),response(a,response(b,X_0))) ),[0,0],$fot(c)]]) ).
cnf(refute_0_8,plain,
( response(compose(a,b),X_0) != response(a,response(b,X_0))
| response(c,X_0) = response(a,response(b,X_0)) ),
inference(resolve,[$cnf( $equal(compose(a,b),c) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
response(c,X_0) = response(a,response(b,X_0)),
inference(resolve,[$cnf( $equal(response(compose(a,b),X_0),response(a,response(b,X_0))) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
( response(c,X_0) != response(a,response(b,X_0))
| response(a,response(b,X_0)) = response(c,X_0) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(c,X_0))),bind(Y0,$fot(response(a,response(b,X_0))))]]) ).
cnf(refute_0_11,plain,
response(a,response(b,X_0)) = response(c,X_0),
inference(resolve,[$cnf( $equal(response(c,X_0),response(a,response(b,X_0))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( response(a,response(b,X_0)) != response(c,X_0)
| response(c,X_0) != response(compatible(a),response(b,X_0))
| response(a,response(b,X_0)) = response(compatible(a),response(b,X_0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(a,response(b,X_0)),response(compatible(a),response(b,X_0))) ),[0],$fot(response(c,X_0))]]) ).
cnf(refute_0_13,plain,
( response(c,X_0) != response(compatible(a),response(b,X_0))
| response(a,response(b,X_0)) = response(compatible(a),response(b,X_0)) ),
inference(resolve,[$cnf( $equal(response(a,response(b,X_0)),response(c,X_0)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( response(c,X_0) != response(compatible(a),response(b,X_0))
| agreeable(a) ),
inference(resolve,[$cnf( $equal(response(a,response(b,X_0)),response(compatible(a),response(b,X_0))) )],[refute_0_13,refute_0_0]) ).
cnf(refute_0_15,plain,
response(c,X_0) != response(compatible(a),response(b,X_0)),
inference(resolve,[$cnf( agreeable(a) )],[refute_0_14,prove_a_is_agreeable]) ).
cnf(refute_0_16,plain,
response(c,common_bird(compose(compatible(a),b))) != response(compatible(a),response(b,common_bird(compose(compatible(a),b)))),
inference(subst,[],[refute_0_15:[bind(X_0,$fot(common_bird(compose(compatible(a),b))))]]) ).
cnf(refute_0_17,plain,
response(compose(X,Y),common_bird(compose(X,Y))) = response(X,response(Y,common_bird(compose(X,Y)))),
inference(subst,[],[composer_exists:[bind(W,$fot(common_bird(compose(X,Y))))]]) ).
cnf(refute_0_18,plain,
( ~ agreeable(c)
| response(c,common_bird(X_8)) = response(X_8,common_bird(X_8)) ),
inference(subst,[],[agreeable1:[bind(X,$fot(c)),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_19,plain,
response(c,common_bird(X_8)) = response(X_8,common_bird(X_8)),
inference(resolve,[$cnf( agreeable(c) )],[c_is_agreeable,refute_0_18]) ).
cnf(refute_0_20,plain,
response(c,common_bird(compose(X,Y))) = response(compose(X,Y),common_bird(compose(X,Y))),
inference(subst,[],[refute_0_19:[bind(X_8,$fot(compose(X,Y)))]]) ).
cnf(refute_0_21,plain,
( response(c,common_bird(compose(X,Y))) != response(compose(X,Y),common_bird(compose(X,Y)))
| response(compose(X,Y),common_bird(compose(X,Y))) = response(c,common_bird(compose(X,Y))) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(c,common_bird(compose(X,Y))))),bind(Y0,$fot(response(compose(X,Y),common_bird(compose(X,Y)))))]]) ).
cnf(refute_0_22,plain,
response(compose(X,Y),common_bird(compose(X,Y))) = response(c,common_bird(compose(X,Y))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(X,Y))),response(compose(X,Y),common_bird(compose(X,Y)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( response(compose(X,Y),common_bird(compose(X,Y))) != response(X,response(Y,common_bird(compose(X,Y))))
| response(compose(X,Y),common_bird(compose(X,Y))) != response(c,common_bird(compose(X,Y)))
| response(c,common_bird(compose(X,Y))) = response(X,response(Y,common_bird(compose(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(response(compose(X,Y),common_bird(compose(X,Y))),response(X,response(Y,common_bird(compose(X,Y))))) ),[0],$fot(response(c,common_bird(compose(X,Y))))]]) ).
cnf(refute_0_24,plain,
( response(compose(X,Y),common_bird(compose(X,Y))) != response(X,response(Y,common_bird(compose(X,Y))))
| response(c,common_bird(compose(X,Y))) = response(X,response(Y,common_bird(compose(X,Y)))) ),
inference(resolve,[$cnf( $equal(response(compose(X,Y),common_bird(compose(X,Y))),response(c,common_bird(compose(X,Y)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
response(c,common_bird(compose(X,Y))) = response(X,response(Y,common_bird(compose(X,Y)))),
inference(resolve,[$cnf( $equal(response(compose(X,Y),common_bird(compose(X,Y))),response(X,response(Y,common_bird(compose(X,Y))))) )],[refute_0_17,refute_0_24]) ).
cnf(refute_0_26,plain,
response(c,common_bird(compose(compatible(a),b))) = response(compatible(a),response(b,common_bird(compose(compatible(a),b)))),
inference(subst,[],[refute_0_25:[bind(X,$fot(compatible(a))),bind(Y,$fot(b))]]) ).
cnf(refute_0_27,plain,
( response(c,common_bird(compose(compatible(a),b))) != response(compatible(a),response(b,common_bird(compose(compatible(a),b))))
| response(compatible(a),response(b,common_bird(compose(compatible(a),b)))) = response(c,common_bird(compose(compatible(a),b))) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(response(c,common_bird(compose(compatible(a),b))))),bind(Y0,$fot(response(compatible(a),response(b,common_bird(compose(compatible(a),b))))))]]) ).
cnf(refute_0_28,plain,
response(compatible(a),response(b,common_bird(compose(compatible(a),b)))) = response(c,common_bird(compose(compatible(a),b))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(compatible(a),b))),response(compatible(a),response(b,common_bird(compose(compatible(a),b))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( response(c,common_bird(compose(compatible(a),b))) != response(c,common_bird(compose(compatible(a),b)))
| response(compatible(a),response(b,common_bird(compose(compatible(a),b)))) != response(c,common_bird(compose(compatible(a),b)))
| response(c,common_bird(compose(compatible(a),b))) = response(compatible(a),response(b,common_bird(compose(compatible(a),b)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(c,common_bird(compose(compatible(a),b))),response(compatible(a),response(b,common_bird(compose(compatible(a),b))))) ),[1],$fot(response(c,common_bird(compose(compatible(a),b))))]]) ).
cnf(refute_0_30,plain,
( response(c,common_bird(compose(compatible(a),b))) != response(c,common_bird(compose(compatible(a),b)))
| response(c,common_bird(compose(compatible(a),b))) = response(compatible(a),response(b,common_bird(compose(compatible(a),b)))) ),
inference(resolve,[$cnf( $equal(response(compatible(a),response(b,common_bird(compose(compatible(a),b)))),response(c,common_bird(compose(compatible(a),b)))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
response(c,common_bird(compose(compatible(a),b))) != response(c,common_bird(compose(compatible(a),b))),
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(compatible(a),b))),response(compatible(a),response(b,common_bird(compose(compatible(a),b))))) )],[refute_0_30,refute_0_16]) ).
cnf(refute_0_32,plain,
response(c,common_bird(compose(compatible(a),b))) = response(c,common_bird(compose(compatible(a),b))),
introduced(tautology,[refl,[$fot(response(c,common_bird(compose(compatible(a),b))))]]) ).
cnf(refute_0_33,plain,
$false,
inference(resolve,[$cnf( $equal(response(c,common_bird(compose(compatible(a),b))),response(c,common_bird(compose(compatible(a),b)))) )],[refute_0_32,refute_0_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 : Tue May 31 15:35:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35
%------------------------------------------------------------------------------