TSTP Solution File: MSC006-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 22:51:27 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 49 ( 13 unt; 21 nHn; 18 RR)
% Number of literals : 101 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 80 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p_transitivity,hypothesis,
( ~ p(X,Y)
| ~ p(Y,Z)
| p(X,Z) ) ).
cnf(q_transitivity,hypothesis,
( ~ q(X,Y)
| ~ q(Y,Z)
| q(X,Z) ) ).
cnf(q_symmetry,hypothesis,
( ~ q(X,Y)
| q(Y,X) ) ).
cnf(all_related,hypothesis,
( p(X,Y)
| q(X,Y) ) ).
cnf(p_is_not_total,hypothesis,
~ p(a,b) ).
cnf(prove_q_is_total,negated_conjecture,
~ q(c,d) ).
cnf(refute_0_0,plain,
( ~ p(X,d)
| ~ p(d,X_37)
| p(X,X_37) ),
inference(subst,[],[p_transitivity:[bind(Y,$fot(d)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_1,plain,
( ~ q(X_2,X_3)
| q(X_3,X_2) ),
inference(subst,[],[q_symmetry:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_2,plain,
( p(X_2,X_3)
| q(X_2,X_3) ),
inference(subst,[],[all_related:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
( p(X_2,X_3)
| q(X_3,X_2) ),
inference(resolve,[$cnf( q(X_2,X_3) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( p(d,c)
| q(c,d) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(d)),bind(X_3,$fot(c))]]) ).
cnf(refute_0_5,plain,
p(d,c),
inference(resolve,[$cnf( q(c,d) )],[refute_0_4,prove_q_is_total]) ).
cnf(refute_0_6,plain,
( ~ p(c,X_8)
| ~ p(d,c)
| p(d,X_8) ),
inference(subst,[],[p_transitivity:[bind(X,$fot(d)),bind(Y,$fot(c)),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_7,plain,
( ~ p(c,X_8)
| p(d,X_8) ),
inference(resolve,[$cnf( p(d,c) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p(c,X_35)
| p(d,X_35) ),
inference(subst,[],[refute_0_7:[bind(X_8,$fot(X_35))]]) ).
cnf(refute_0_9,plain,
( p(X_28,X_29)
| q(X_28,X_29) ),
inference(subst,[],[all_related:[bind(X,$fot(X_28)),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_10,plain,
( p(X_14,X_13)
| q(X_13,X_14) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_14)),bind(X_3,$fot(X_13))]]) ).
cnf(refute_0_11,plain,
( ~ q(X_12,X_13)
| ~ q(X_13,X_14)
| q(X_12,X_14) ),
inference(subst,[],[q_transitivity:[bind(X,$fot(X_12)),bind(Y,$fot(X_13)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_12,plain,
( ~ q(X_12,X_13)
| p(X_14,X_13)
| q(X_12,X_14) ),
inference(resolve,[$cnf( q(X_13,X_14) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ q(X_28,X_29)
| p(X_30,X_29)
| q(X_28,X_30) ),
inference(subst,[],[refute_0_12:[bind(X_12,$fot(X_28)),bind(X_13,$fot(X_29)),bind(X_14,$fot(X_30))]]) ).
cnf(refute_0_14,plain,
( p(X_28,X_29)
| p(X_30,X_29)
| q(X_28,X_30) ),
inference(resolve,[$cnf( q(X_28,X_29) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( p(X_36,X_35)
| p(c,X_35)
| q(c,X_36) ),
inference(subst,[],[refute_0_14:[bind(X_28,$fot(c)),bind(X_29,$fot(X_35)),bind(X_30,$fot(X_36))]]) ).
cnf(refute_0_16,plain,
( p(X_36,X_35)
| p(d,X_35)
| q(c,X_36) ),
inference(resolve,[$cnf( p(c,X_35) )],[refute_0_15,refute_0_8]) ).
cnf(refute_0_17,plain,
( p(d,X_35)
| q(c,d) ),
inference(subst,[],[refute_0_16:[bind(X_36,$fot(d))]]) ).
cnf(refute_0_18,plain,
p(d,X_35),
inference(resolve,[$cnf( q(c,d) )],[refute_0_17,prove_q_is_total]) ).
cnf(refute_0_19,plain,
p(d,X_37),
inference(subst,[],[refute_0_18:[bind(X_35,$fot(X_37))]]) ).
cnf(refute_0_20,plain,
( ~ p(X,d)
| p(X,X_37) ),
inference(resolve,[$cnf( p(d,X_37) )],[refute_0_19,refute_0_0]) ).
cnf(refute_0_21,plain,
( ~ p(X_59,d)
| p(X_59,X_37) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_22,plain,
( ~ p(X,c)
| ~ p(c,X_40)
| p(X,X_40) ),
inference(subst,[],[p_transitivity:[bind(Y,$fot(c)),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_23,plain,
( p(c,d)
| q(c,d) ),
inference(subst,[],[all_related:[bind(X,$fot(c)),bind(Y,$fot(d))]]) ).
cnf(refute_0_24,plain,
p(c,d),
inference(resolve,[$cnf( q(c,d) )],[refute_0_23,prove_q_is_total]) ).
cnf(refute_0_25,plain,
( ~ p(c,d)
| p(c,X_39) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(c)),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_26,plain,
p(c,X_39),
inference(resolve,[$cnf( p(c,d) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
p(c,X_40),
inference(subst,[],[refute_0_26:[bind(X_39,$fot(X_40))]]) ).
cnf(refute_0_28,plain,
( ~ p(X,c)
| p(X,X_40) ),
inference(resolve,[$cnf( p(c,X_40) )],[refute_0_27,refute_0_22]) ).
cnf(refute_0_29,plain,
( ~ p(X_55,c)
| p(X_55,X_40) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_30,plain,
( p(X_32,X_31)
| q(X_31,X_32) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_32)),bind(X_3,$fot(X_31))]]) ).
cnf(refute_0_31,plain,
( p(X_13,X_14)
| q(X_13,X_14) ),
inference(subst,[],[all_related:[bind(X,$fot(X_13)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_32,plain,
( ~ q(X_12,X_13)
| p(X_13,X_14)
| q(X_12,X_14) ),
inference(resolve,[$cnf( q(X_13,X_14) )],[refute_0_31,refute_0_11]) ).
cnf(refute_0_33,plain,
( ~ q(X_31,X_32)
| p(X_32,X_33)
| q(X_31,X_33) ),
inference(subst,[],[refute_0_32:[bind(X_12,$fot(X_31)),bind(X_13,$fot(X_32)),bind(X_14,$fot(X_33))]]) ).
cnf(refute_0_34,plain,
( p(X_32,X_31)
| p(X_32,X_33)
| q(X_31,X_33) ),
inference(resolve,[$cnf( q(X_31,X_32) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( p(X_55,X_56)
| p(X_55,c)
| q(c,X_56) ),
inference(subst,[],[refute_0_34:[bind(X_31,$fot(c)),bind(X_32,$fot(X_55)),bind(X_33,$fot(X_56))]]) ).
cnf(refute_0_36,plain,
( p(X_55,X_40)
| p(X_55,X_56)
| q(c,X_56) ),
inference(resolve,[$cnf( p(X_55,c) )],[refute_0_35,refute_0_29]) ).
cnf(refute_0_37,plain,
( p(X_57,d)
| q(c,d) ),
inference(subst,[],[refute_0_36:[bind(X_40,$fot(d)),bind(X_55,$fot(X_57)),bind(X_56,$fot(d))]]) ).
cnf(refute_0_38,plain,
p(X_57,d),
inference(resolve,[$cnf( q(c,d) )],[refute_0_37,prove_q_is_total]) ).
cnf(refute_0_39,plain,
p(X_59,d),
inference(subst,[],[refute_0_38:[bind(X_57,$fot(X_59))]]) ).
cnf(refute_0_40,plain,
p(X_59,X_37),
inference(resolve,[$cnf( p(X_59,d) )],[refute_0_39,refute_0_21]) ).
cnf(refute_0_41,plain,
p(a,b),
inference(subst,[],[refute_0_40:[bind(X_37,$fot(b)),bind(X_59,$fot(a))]]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( p(a,b) )],[refute_0_41,p_is_not_total]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : Fri Jul 1 16:21:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------