TSTP Solution File: MGT053-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT053-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : Sun Jul 17 22:19:54 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of clauses : 43 ( 6 unt; 25 nHn; 29 RR)
% Number of literals : 108 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_2_29,axiom,
( ~ dissimilar(A,B,C)
| organization(A) ) ).
cnf(definition_2_30,axiom,
( ~ dissimilar(A,B,C)
| is_aligned(A,B)
| is_aligned(A,C) ) ).
cnf(definition_2_31,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ) ).
cnf(definition_2_33,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,B,C) ) ).
cnf(definition_2_34,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,C,B) ) ).
cnf(lemma_7_36,negated_conjecture,
( dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk3,sk2) ) ).
cnf(lemma_7_39,negated_conjecture,
( ~ dissimilar(sk1,sk3,sk2)
| ~ dissimilar(sk1,sk2,sk3) ) ).
cnf(refute_0_0,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(subst,[],[definition_2_31:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk3))]]) ).
cnf(refute_0_1,plain,
( ~ dissimilar(sk1,sk3,sk2)
| ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(subst,[],[definition_2_31:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_2,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[$cnf( dissimilar(sk1,sk3,sk2) )],[lemma_7_36,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_aligned(sk1,sk2)
| ~ organization(sk1)
| dissimilar(sk1,sk2,C)
| is_aligned(sk1,C) ),
inference(subst,[],[definition_2_33:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(subst,[],[definition_2_30:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk3))]]) ).
cnf(refute_0_5,plain,
( ~ dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(subst,[],[definition_2_30:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_6,plain,
( dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolve,[$cnf( dissimilar(sk1,sk3,sk2) )],[lemma_7_36,refute_0_5]) ).
cnf(refute_0_7,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk3) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
( ~ is_aligned(sk1,sk3)
| ~ organization(sk1)
| dissimilar(sk1,sk3,X_39)
| is_aligned(sk1,X_39) ),
inference(subst,[],[definition_2_33:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(X_39))]]) ).
cnf(refute_0_9,plain,
( ~ organization(sk1)
| dissimilar(sk1,sk3,X_39)
| is_aligned(sk1,X_39)
| is_aligned(sk1,sk2) ),
inference(resolve,[$cnf( is_aligned(sk1,sk3) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ dissimilar(sk1,sk2,sk3)
| organization(sk1) ),
inference(subst,[],[definition_2_29:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk3))]]) ).
cnf(refute_0_11,plain,
( ~ dissimilar(sk1,sk3,sk2)
| organization(sk1) ),
inference(subst,[],[definition_2_29:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_12,plain,
( dissimilar(sk1,sk2,sk3)
| organization(sk1) ),
inference(resolve,[$cnf( dissimilar(sk1,sk3,sk2) )],[lemma_7_36,refute_0_11]) ).
cnf(refute_0_13,plain,
organization(sk1),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk3) )],[refute_0_12,refute_0_10]) ).
cnf(refute_0_14,plain,
( dissimilar(sk1,sk3,X_39)
| is_aligned(sk1,X_39)
| is_aligned(sk1,sk2) ),
inference(resolve,[$cnf( organization(sk1) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
( dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk2) ),
inference(subst,[],[refute_0_14:[bind(X_39,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2) ),
inference(resolve,[$cnf( dissimilar(sk1,sk3,sk2) )],[refute_0_15,lemma_7_39]) ).
cnf(refute_0_17,plain,
( ~ is_aligned(sk1,sk3)
| ~ organization(sk1)
| dissimilar(sk1,X_43,sk3)
| is_aligned(sk1,X_43) ),
inference(subst,[],[definition_2_34:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(X_43))]]) ).
cnf(refute_0_18,plain,
( ~ organization(sk1)
| dissimilar(sk1,X_43,sk3)
| is_aligned(sk1,X_43)
| is_aligned(sk1,sk2) ),
inference(resolve,[$cnf( is_aligned(sk1,sk3) )],[refute_0_7,refute_0_17]) ).
cnf(refute_0_19,plain,
( dissimilar(sk1,X_43,sk3)
| is_aligned(sk1,X_43)
| is_aligned(sk1,sk2) ),
inference(resolve,[$cnf( organization(sk1) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
( dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk2) ),
inference(subst,[],[refute_0_19:[bind(X_43,$fot(sk2))]]) ).
cnf(refute_0_21,plain,
is_aligned(sk1,sk2),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk3) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
( ~ organization(sk1)
| dissimilar(sk1,sk2,C)
| is_aligned(sk1,C) ),
inference(resolve,[$cnf( is_aligned(sk1,sk2) )],[refute_0_21,refute_0_3]) ).
cnf(refute_0_23,plain,
( dissimilar(sk1,sk2,C)
| is_aligned(sk1,C) ),
inference(resolve,[$cnf( organization(sk1) )],[refute_0_13,refute_0_22]) ).
cnf(refute_0_24,plain,
( dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk3) ),
inference(subst,[],[refute_0_23:[bind(C,$fot(sk3))]]) ).
cnf(refute_0_25,plain,
( ~ is_aligned(sk1,sk2)
| ~ organization(sk1)
| dissimilar(sk1,C,sk2)
| is_aligned(sk1,C) ),
inference(subst,[],[definition_2_34:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_26,plain,
( ~ organization(sk1)
| dissimilar(sk1,C,sk2)
| is_aligned(sk1,C) ),
inference(resolve,[$cnf( is_aligned(sk1,sk2) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( dissimilar(sk1,C,sk2)
| is_aligned(sk1,C) ),
inference(resolve,[$cnf( organization(sk1) )],[refute_0_13,refute_0_26]) ).
cnf(refute_0_28,plain,
( dissimilar(sk1,sk3,sk2)
| is_aligned(sk1,sk3) ),
inference(subst,[],[refute_0_27:[bind(C,$fot(sk3))]]) ).
cnf(refute_0_29,plain,
( ~ dissimilar(sk1,sk2,sk3)
| is_aligned(sk1,sk3) ),
inference(resolve,[$cnf( dissimilar(sk1,sk3,sk2) )],[refute_0_28,lemma_7_39]) ).
cnf(refute_0_30,plain,
is_aligned(sk1,sk3),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk3) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ is_aligned(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(resolve,[$cnf( is_aligned(sk1,sk3) )],[refute_0_30,refute_0_2]) ).
cnf(refute_0_32,plain,
dissimilar(sk1,sk2,sk3),
inference(resolve,[$cnf( is_aligned(sk1,sk2) )],[refute_0_21,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk3) )],[refute_0_32,refute_0_0]) ).
cnf(refute_0_34,plain,
~ is_aligned(sk1,sk3),
inference(resolve,[$cnf( is_aligned(sk1,sk2) )],[refute_0_21,refute_0_33]) ).
cnf(refute_0_35,plain,
$false,
inference(resolve,[$cnf( is_aligned(sk1,sk3) )],[refute_0_30,refute_0_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT053-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 : Thu Jun 9 11:34:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------