TSTP Solution File: SYN332-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : Thu Jul 21 09:01:24 EDT 2022
% Result : Unsatisfiable 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 33 ( 8 unt; 14 nHn; 15 RR)
% Number of literals : 62 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 61 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( f(X,Y)
| f(X,z(X,Y)) ) ).
cnf(clause2,negated_conjecture,
( f(Y,X)
| f(X,z(X,Y)) ) ).
cnf(clause3,negated_conjecture,
( ~ f(X,Y)
| ~ f(Y,X)
| ~ f(X,z(X,Y)) ) ).
cnf(clause5,negated_conjecture,
( ~ f(X,z(X,Y))
| f(z(X,Y),X) ) ).
cnf(clause7,negated_conjecture,
( ~ f(X,z(X,Y))
| f(Y,z(X,Y)) ) ).
cnf(clause8,negated_conjecture,
( ~ f(Y,X)
| f(X,Y)
| ~ f(z(X,Y),z(X,Y)) ) ).
cnf(clause13,negated_conjecture,
( f(X,Y)
| f(Y,X)
| ~ f(z(X,Y),Y) ) ).
cnf(refute_0_0,plain,
( f(X_14,X_15)
| f(X_14,z(X_14,X_15)) ),
inference(subst,[],[clause1:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_1,plain,
( ~ f(X_14,z(X_14,X_15))
| f(z(X_14,X_15),X_14) ),
inference(subst,[],[clause5:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_2,plain,
( f(X_14,X_15)
| f(z(X_14,X_15),X_14) ),
inference(resolve,[$cnf( f(X_14,z(X_14,X_15)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( f(X_28,X_28)
| f(z(X_28,X_28),X_28) ),
inference(subst,[],[refute_0_2:[bind(X_14,$fot(X_28)),bind(X_15,$fot(X_28))]]) ).
cnf(refute_0_4,plain,
( ~ f(z(X_28,X_28),X_28)
| f(X_28,X_28) ),
inference(subst,[],[clause13:[bind(X,$fot(X_28)),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_5,plain,
f(X_28,X_28),
inference(resolve,[$cnf( f(z(X_28,X_28),X_28) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
f(z(X,Y),z(X,Y)),
inference(subst,[],[refute_0_5:[bind(X_28,$fot(z(X,Y)))]]) ).
cnf(refute_0_7,plain,
( ~ f(Y,X)
| f(X,Y) ),
inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[refute_0_6,clause8]) ).
cnf(refute_0_8,plain,
( ~ f(X_34,X_35)
| f(X_35,X_34) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_35)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_9,plain,
( ~ f(z(X_33,X_32),X_32)
| f(X_32,X_33)
| f(X_33,X_32) ),
inference(subst,[],[clause13:[bind(X,$fot(X_33)),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_10,plain,
( ~ f(X_8,z(X_8,X_9))
| f(X_9,z(X_8,X_9)) ),
inference(subst,[],[clause7:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_11,plain,
( f(X_8,z(X_8,X_9))
| f(X_9,X_8) ),
inference(subst,[],[clause2:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_12,plain,
( f(X_9,X_8)
| f(X_9,z(X_8,X_9)) ),
inference(resolve,[$cnf( f(X_8,z(X_8,X_9)) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( f(X_31,X_8)
| f(X_31,z(X_8,X_31)) ),
inference(subst,[],[refute_0_12:[bind(X_9,$fot(X_31))]]) ).
cnf(refute_0_14,plain,
( ~ f(X_31,z(X_8,X_31))
| f(z(X_8,X_31),X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(z(X_8,X_31))),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_15,plain,
( f(X_31,X_8)
| f(z(X_8,X_31),X_31) ),
inference(resolve,[$cnf( f(X_31,z(X_8,X_31)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( f(X_32,X_33)
| f(z(X_33,X_32),X_32) ),
inference(subst,[],[refute_0_15:[bind(X_31,$fot(X_32)),bind(X_8,$fot(X_33))]]) ).
cnf(refute_0_17,plain,
( f(X_32,X_33)
| f(X_33,X_32) ),
inference(resolve,[$cnf( f(z(X_33,X_32),X_32) )],[refute_0_16,refute_0_9]) ).
cnf(refute_0_18,plain,
( f(X_34,X_35)
| f(X_35,X_34) ),
inference(subst,[],[refute_0_17:[bind(X_32,$fot(X_35)),bind(X_33,$fot(X_34))]]) ).
cnf(refute_0_19,plain,
f(X_35,X_34),
inference(resolve,[$cnf( f(X_34,X_35) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
f(X,Y),
inference(subst,[],[refute_0_19:[bind(X_34,$fot(Y)),bind(X_35,$fot(X))]]) ).
cnf(refute_0_21,plain,
( ~ f(X,z(X,Y))
| ~ f(Y,X) ),
inference(resolve,[$cnf( f(X,Y) )],[refute_0_20,clause3]) ).
cnf(refute_0_22,plain,
f(X,z(X,Y)),
inference(subst,[],[refute_0_19:[bind(X_34,$fot(z(X,Y))),bind(X_35,$fot(X))]]) ).
cnf(refute_0_23,plain,
~ f(Y,X),
inference(resolve,[$cnf( f(X,z(X,Y)) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
f(Y,X),
inference(subst,[],[refute_0_19:[bind(X_34,$fot(X)),bind(X_35,$fot(Y))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( f(Y,X) )],[refute_0_24,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 0.05/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n028.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jul 12 01:25:29 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29
% 0.09/0.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.09/0.30
%------------------------------------------------------------------------------