TSTP Solution File: SYN654-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN654-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 09:04:35 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 14 RR)
% Number of literals : 47 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 57 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_3,negated_conjecture,
p8(X158,X158) ).
cnf(not_p8_10,negated_conjecture,
~ p8(c22,c23) ).
cnf(p8_18,negated_conjecture,
( p8(X159,X160)
| ~ p8(X158,X159)
| ~ p8(X158,X160) ) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) ).
cnf(p8_31,negated_conjecture,
( p8(X8,X13)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ).
cnf(p8_36,negated_conjecture,
( p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ).
cnf(p3_48,negated_conjecture,
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ).
cnf(refute_0_0,plain,
( ~ p8(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X160)
| ~ p8(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22)
| p8(c22,X160) ),
inference(subst,[],[p8_18:[bind(X158,$fot(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X159,$fot(c22))]]) ).
cnf(refute_0_1,plain,
p8(X_43,X_43),
inference(subst,[],[p8_3:[bind(X158,$fot(X_43))]]) ).
cnf(refute_0_2,plain,
( ~ p8(X_43,X_42)
| ~ p8(X_43,X_43)
| p8(X_42,X_43) ),
inference(subst,[],[p8_18:[bind(X158,$fot(X_43)),bind(X159,$fot(X_42)),bind(X160,$fot(X_43))]]) ).
cnf(refute_0_3,plain,
( ~ p8(X_43,X_42)
| p8(X_42,X_43) ),
inference(resolve,[$cnf( p8(X_43,X_43) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p8(c22,f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))
| p8(f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22) ),
inference(subst,[],[refute_0_3:[bind(X_42,$fot(f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X_43,$fot(c22))]]) ).
cnf(refute_0_5,plain,
( ~ p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33))
| p8(c22,f16(X_77,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) ),
inference(subst,[],[p8_36:[bind(X36,$fot(c26)),bind(X37,$fot(X_77)),bind(X38,$fot(c24)),bind(X39,$fot(c25)),bind(X40,$fot(c28)),bind(X41,$fot(f11(c29,c30,c31,c23,c32,c33))),bind(X42,$fot(c22)),bind(X43,$fot(c27))]]) ).
cnf(refute_0_6,plain,
p8(c22,f16(X_77,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolve,[$cnf( p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) )],[p21_27,refute_0_5]) ).
cnf(refute_0_7,plain,
p8(c22,f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(subst,[],[refute_0_6:[bind(X_77,$fot(X_84))]]) ).
cnf(refute_0_8,plain,
p8(f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(resolve,[$cnf( p8(c22,f16(X_84,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) )],[refute_0_7,refute_0_4]) ).
cnf(refute_0_9,plain,
p8(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(subst,[],[refute_0_8:[bind(X_84,$fot(X_85))]]) ).
cnf(refute_0_10,plain,
( ~ p8(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X160)
| p8(c22,X160) ),
inference(resolve,[$cnf( p8(f16(X_85,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
( ~ p8(f16(X_694,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23)
| p8(c22,c23) ),
inference(subst,[],[refute_0_10:[bind(X160,$fot(c23)),bind(X_85,$fot(X_694))]]) ).
cnf(refute_0_12,plain,
( ~ p8(c23,f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))
| p8(f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23) ),
inference(subst,[],[refute_0_3:[bind(X_42,$fot(f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X_43,$fot(c23))]]) ).
cnf(refute_0_13,plain,
( ~ p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)))
| p8(c23,f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) ),
inference(subst,[],[p8_31:[bind(X10,$fot(f19(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X11,$fot(f18(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X12,$fot(f17(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X13,$fot(f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X14,$fot(f15(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X3,$fot(c33)),bind(X4,$fot(f14(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),bind(X5,$fot(c29)),bind(X6,$fot(c30)),bind(X7,$fot(c31)),bind(X8,$fot(c23)),bind(X9,$fot(c32))]]) ).
cnf(refute_0_14,plain,
( ~ p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33))
| p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))) ),
inference(subst,[],[p3_48:[bind(X36,$fot(c26)),bind(X37,$fot(X_685)),bind(X38,$fot(c24)),bind(X39,$fot(c25)),bind(X40,$fot(c28)),bind(X41,$fot(f11(c29,c30,c31,c23,c32,c33))),bind(X42,$fot(c22)),bind(X43,$fot(c27))]]) ).
cnf(refute_0_15,plain,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X_685,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(resolve,[$cnf( p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) )],[p21_27,refute_0_14]) ).
cnf(refute_0_16,plain,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(subst,[],[refute_0_15:[bind(X_685,$fot(X_692))]]) ).
cnf(refute_0_17,plain,
p8(c23,f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolve,[$cnf( p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X_692,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))) )],[refute_0_16,refute_0_13]) ).
cnf(refute_0_18,plain,
p8(c23,f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(subst,[],[refute_0_17:[bind(X_692,$fot(X_693))]]) ).
cnf(refute_0_19,plain,
p8(f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
inference(resolve,[$cnf( p8(c23,f16(X_693,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) )],[refute_0_18,refute_0_12]) ).
cnf(refute_0_20,plain,
p8(f16(X_694,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
inference(subst,[],[refute_0_19:[bind(X_693,$fot(X_694))]]) ).
cnf(refute_0_21,plain,
p8(c22,c23),
inference(resolve,[$cnf( p8(f16(X_694,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23) )],[refute_0_20,refute_0_11]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( p8(c22,c23) )],[refute_0_21,not_p8_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN654-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n005.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 : Tue Jul 12 08:14:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.49
%------------------------------------------------------------------------------