TSTP Solution File: SYN651-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 09:04:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 36 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_13,negated_conjecture,
p23(f5(c27,c28),c30) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) ).
cnf(not_p23_28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) ).
cnf(p23_41,negated_conjecture,
( p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48)
| ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ) ).
cnf(p23_43,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
| ~ p23(f5(X45,X51),X48)
| ~ p23(f5(f7(f10(c24,X46),X45),X47),X51) ) ).
cnf(p23_44,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50)
| ~ p23(f5(c27,X49),X52)
| ~ p23(f5(f7(f10(c24,c26),c27),X52),X50) ) ).
cnf(p23_45,negated_conjecture,
( p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48))
| ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ) ).
cnf(refute_0_0,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29)
| p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29) ),
inference(subst,[],[p23_41:[bind(X45,$fot(c27)),bind(X46,$fot(c26)),bind(X47,$fot(c30)),bind(X48,$fot(c29))]]) ).
cnf(refute_0_1,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(resolve,[$cnf( p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) )],[p23_26,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29)
| p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(subst,[],[p23_45:[bind(X45,$fot(c27)),bind(X46,$fot(c26)),bind(X47,$fot(c30)),bind(X48,$fot(c29))]]) ).
cnf(refute_0_3,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolve,[$cnf( p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) )],[p23_26,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p23(f5(c27,X_207),c30)
| ~ p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X_207),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(subst,[],[p23_44:[bind(X49,$fot(X_207)),bind(X50,$fot(f14(f16(f18(f20(c31,c26),c30),c27),c29))),bind(X52,$fot(c30))]]) ).
cnf(refute_0_5,plain,
( ~ p23(f5(c27,X_207),c30)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X_207),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(resolve,[$cnf( p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p23(f5(c27,c28),c30)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(subst,[],[refute_0_5:[bind(X_207,$fot(c28))]]) ).
cnf(refute_0_7,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolve,[$cnf( p23(f5(c27,c28),c30) )],[p23_13,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),X_237)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),X_237) ),
inference(subst,[],[p23_43:[bind(X45,$fot(c27)),bind(X46,$fot(f12(c25,c26))),bind(X47,$fot(c28)),bind(X48,$fot(X_237)),bind(X51,$fot(f14(f16(f18(f20(c31,c26),c30),c27),c29)))]]) ).
cnf(refute_0_9,plain,
( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),X_237)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),X_237) ),
inference(resolve,[$cnf( p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) ),
inference(subst,[],[refute_0_9:[bind(X_237,$fot(c29))]]) ).
cnf(refute_0_11,plain,
p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(resolve,[$cnf( p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) )],[refute_0_11,not_p23_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 00:58:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39
% 0.19/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40
%------------------------------------------------------------------------------