%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 09:04:48 EDT 2022
% Result : Unsatisfiable 111.93s 112.14s
% Output : CNFRefutation 111.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 62 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c43_is_p27_2,negated_conjecture,
p27(c43) ).
cnf(c35_is_p27_3,negated_conjecture,
p27(c35) ).
cnf(p18_10,negated_conjecture,
p18(X18,X18) ).
cnf(not_p26_15,negated_conjecture,
~ p26(f17(c43),c35) ).
cnf(p27_17,negated_conjecture,
( p27(f17(X23))
| ~ p27(X23) ) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c35)) ).
cnf(p18_31,negated_conjecture,
( p18(f19(f17(X23)),f20(f19(X23)))
| ~ p27(X23) ) ).
cnf(p18_37,negated_conjecture,
( p18(X19,X20)
| ~ p18(X18,X19)
| ~ p18(X18,X20) ) ).
cnf(p26_41,negated_conjecture,
( p26(X62,X63)
| ~ p27(X62)
| ~ p27(X63)
| ~ p28(f19(X62),f19(X63)) ) ).
cnf(p28_44,negated_conjecture,
( p28(X66,X67)
| ~ p18(X69,X67)
| ~ p28(X68,X69)
| ~ p18(X68,X66) ) ).
cnf(refute_0_0,plain,
( ~ p27(c35)
| ~ p27(f17(c43))
| ~ p28(f19(f17(c43)),f19(c35))
| p26(f17(c43),c35) ),
inference(subst,[],[p26_41:[bind(X62,$fot(f17(c43))),bind(X63,$fot(c35))]]) ).
cnf(refute_0_1,plain,
p18(f19(f17(c43)),f19(f17(c43))),
inference(subst,[],[p18_10:[bind(X18,$fot(f19(f17(c43))))]]) ).
cnf(refute_0_2,plain,
( ~ p27(c43)
| p18(f19(f17(c43)),f20(f19(c43))) ),
inference(subst,[],[p18_31:[bind(X23,$fot(c43))]]) ).
cnf(refute_0_3,plain,
p18(f19(f17(c43)),f20(f19(c43))),
inference(resolve,[$cnf( p27(c43) )],[c43_is_p27_2,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p18(f19(f17(c43)),X_80)
| ~ p18(f19(f17(c43)),f20(f19(c43)))
| p18(f20(f19(c43)),X_80) ),
inference(subst,[],[p18_37:[bind(X18,$fot(f19(f17(c43)))),bind(X19,$fot(f20(f19(c43)))),bind(X20,$fot(X_80))]]) ).
cnf(refute_0_5,plain,
( ~ p18(f19(f17(c43)),X_80)
| p18(f20(f19(c43)),X_80) ),
inference(resolve,[$cnf( p18(f19(f17(c43)),f20(f19(c43))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p18(f19(f17(c43)),f19(f17(c43)))
| p18(f20(f19(c43)),f19(f17(c43))) ),
inference(subst,[],[refute_0_5:[bind(X_80,$fot(f19(f17(c43))))]]) ).
cnf(refute_0_7,plain,
p18(f20(f19(c43)),f19(f17(c43))),
inference(resolve,[$cnf( p18(f19(f17(c43)),f19(f17(c43))) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
p18(X_923,X_923),
inference(subst,[],[p18_10:[bind(X18,$fot(X_923))]]) ).
cnf(refute_0_9,plain,
( ~ p18(X_923,X_923)
| ~ p18(X_924,X_922)
| ~ p28(X_924,X_923)
| p28(X_922,X_923) ),
inference(subst,[],[p28_44:[bind(X66,$fot(X_922)),bind(X67,$fot(X_923)),bind(X68,$fot(X_924)),bind(X69,$fot(X_923))]]) ).
cnf(refute_0_10,plain,
( ~ p18(X_924,X_922)
| ~ p28(X_924,X_923)
| p28(X_922,X_923) ),
inference(resolve,[$cnf( p18(X_923,X_923) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ p18(f20(f19(c43)),X_4498)
| ~ p28(f20(f19(c43)),f19(c35))
| p28(X_4498,f19(c35)) ),
inference(subst,[],[refute_0_10:[bind(X_922,$fot(X_4498)),bind(X_923,$fot(f19(c35))),bind(X_924,$fot(f20(f19(c43))))]]) ).
cnf(refute_0_12,plain,
( ~ p18(f20(f19(c43)),X_4498)
| p28(X_4498,f19(c35)) ),
inference(resolve,[$cnf( p28(f20(f19(c43)),f19(c35)) )],[p28_18,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ p18(f20(f19(c43)),f19(f17(c43)))
| p28(f19(f17(c43)),f19(c35)) ),
inference(subst,[],[refute_0_12:[bind(X_4498,$fot(f19(f17(c43))))]]) ).
cnf(refute_0_14,plain,
p28(f19(f17(c43)),f19(c35)),
inference(resolve,[$cnf( p18(f20(f19(c43)),f19(f17(c43))) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p27(c35)
| ~ p27(f17(c43))
| p26(f17(c43),c35) ),
inference(resolve,[$cnf( p28(f19(f17(c43)),f19(c35)) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
( ~ p27(f17(c43))
| p26(f17(c43),c35) ),
inference(resolve,[$cnf( p27(c35) )],[c35_is_p27_3,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p27(c43)
| p27(f17(c43)) ),
inference(subst,[],[p27_17:[bind(X23,$fot(c43))]]) ).
cnf(refute_0_18,plain,
p27(f17(c43)),
inference(resolve,[$cnf( p27(c43) )],[c43_is_p27_2,refute_0_17]) ).
cnf(refute_0_19,plain,
p26(f17(c43),c35),
inference(resolve,[$cnf( p27(f17(c43)) )],[refute_0_18,refute_0_16]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( p26(f17(c43),c35) )],[refute_0_19,not_p26_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 07:51:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 111.93/112.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 111.93/112.14
% 111.93/112.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 111.93/112.15
%------------------------------------------------------------------------------