TSTP Solution File: SYN638-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 09:04:30 EDT 2022
% Result : Unsatisfiable 0.80s 1.00s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 15 RR)
% Number of literals : 44 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
p4(X36,X36) ).
cnf(p4_12,negated_conjecture,
( p4(f16(X39),f16(X40))
| ~ p4(X39,X40) ) ).
cnf(p22_28,negated_conjecture,
( p22(X20,X21)
| ~ p4(X22,X20)
| ~ p4(X23,X21)
| ~ p22(X22,X23) ) ).
cnf(p4_32,negated_conjecture,
( p4(f17(X41,X42),f17(X43,X44))
| ~ p4(X41,X43)
| ~ p4(X42,X44) ) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ).
cnf(refute_0_0,plain,
p4(X_238,X_238),
inference(subst,[],[p4_4:[bind(X36,$fot(X_238))]]) ).
cnf(refute_0_1,plain,
( ~ p22(X_239,X_238)
| ~ p4(X_238,X_238)
| ~ p4(X_239,X_237)
| p22(X_237,X_238) ),
inference(subst,[],[p22_28:[bind(X20,$fot(X_237)),bind(X21,$fot(X_238)),bind(X22,$fot(X_239)),bind(X23,$fot(X_238))]]) ).
cnf(refute_0_2,plain,
( ~ p22(X_239,X_238)
| ~ p4(X_239,X_237)
| p22(X_237,X_238) ),
inference(resolve,[$cnf( p4(X_238,X_238) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27))))
| ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X_266)
| p22(X_266,f16(f17(c27,f5(c25,c26,c27)))) ),
inference(subst,[],[refute_0_2:[bind(X_237,$fot(X_266)),bind(X_238,$fot(f16(f17(c27,f5(c25,c26,c27))))),bind(X_239,$fot(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)))))]]) ).
cnf(refute_0_4,plain,
( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X_266)
| p22(X_266,f16(f17(c27,f5(c25,c26,c27)))) ),
inference(resolve,[$cnf( p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) )],[p22_40,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))))
| p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(subst,[],[refute_0_4:[bind(X_266,$fot(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))))]]) ).
cnf(refute_0_6,plain,
( ~ p4(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27)),f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29)))
| p4(f16(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27))),f16(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29)))) ),
inference(subst,[],[p4_12:[bind(X39,$fot(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27)))),bind(X40,$fot(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29))))]]) ).
cnf(refute_0_7,plain,
p4(X_131,X_131),
inference(subst,[],[p4_4:[bind(X36,$fot(X_131))]]) ).
cnf(refute_0_8,plain,
( ~ p4(X_130,X_132)
| ~ p4(X_131,X_131)
| p4(f17(X_131,X_130),f17(X_131,X_132)) ),
inference(subst,[],[p4_32:[bind(X41,$fot(X_131)),bind(X42,$fot(X_130)),bind(X43,$fot(X_131)),bind(X44,$fot(X_132))]]) ).
cnf(refute_0_9,plain,
( ~ p4(X_130,X_132)
| p4(f17(X_131,X_130),f17(X_131,X_132)) ),
inference(resolve,[$cnf( p4(X_131,X_131) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))
| p4(f17(X_137,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)),f17(X_137,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))) ),
inference(subst,[],[refute_0_9:[bind(X_130,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27))),bind(X_131,$fot(X_137)),bind(X_132,$fot(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)))]]) ).
cnf(refute_0_11,plain,
p4(f17(X_137,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27)),f17(X_137,f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29))),
inference(resolve,[$cnf( p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)) )],[p4_39,refute_0_10]) ).
cnf(refute_0_12,plain,
p4(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27)),f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29))),
inference(subst,[],[refute_0_11:[bind(X51,$fot(X_143)),bind(X_137,$fot(X_144))]]) ).
cnf(refute_0_13,plain,
p4(f16(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27))),f16(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29)))),
inference(resolve,[$cnf( p4(f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c27)),f17(X_144,f5(f8(f11(c25),f9(f10(c25),c28)),X_143,c29))) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))),
inference(subst,[],[refute_0_13:[bind(X_143,$fot(c26)),bind(X_144,$fot(c27))]]) ).
cnf(refute_0_15,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(resolve,[$cnf( p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))) )],[refute_0_14,refute_0_5]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) )],[refute_0_15,not_p22_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 01:25:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.80/1.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/1.00
% 0.80/1.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.80/1.00
%------------------------------------------------------------------------------