TSTP Solution File: SYN687-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:04:47 EDT 2022
% Result : Unsatisfiable 0.23s 0.48s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 6 unt; 15 nHn; 9 RR)
% Number of literals : 57 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p34_19,negated_conjecture,
p34(c36,c37) ).
cnf(not_p4_40,negated_conjecture,
~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))) ).
cnf(p4_55,negated_conjecture,
( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))
| p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108) ) ).
cnf(p4_56,negated_conjecture,
( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))
| ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108))) ) ).
cnf(p4_57,negated_conjecture,
( p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118))
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| ~ p34(c36,X116)
| ~ p35(f12(X116,X118),f30(f32(c45,X116),X117)) ) ).
cnf(p4_58,negated_conjecture,
( p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| ~ p34(c36,X116)
| ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117))) ) ).
cnf(refute_0_0,plain,
~ p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))),
inference(subst,[],[not_p4_40:[bind(X130,$fot(f26(f28(c46,c37),c39)))]]) ).
cnf(refute_0_1,plain,
( ~ p34(c36,c37)
| ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| p4(f5(f26(f28(c46,c37),c39),X119),f5(f9(c39,f26(f28(c46,c37),c39)),X119)) ),
inference(subst,[],[p4_58:[bind(X116,$fot(c37)),bind(X117,$fot(c39))]]) ).
cnf(refute_0_2,plain,
( ~ p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))))
| p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(subst,[],[p4_56:[bind(X106,$fot(f26(f28(c46,c37),c39))),bind(X107,$fot(f26(f28(c47,c37),c39))),bind(X108,$fot(f30(f32(c45,c37),c39)))]]) ).
cnf(refute_0_3,plain,
( p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,X_304),c39)),f26(f28(c47,X_304),c39)),f30(f32(c45,X_304),c39))),f30(f32(c45,X_304),c39))
| p4(f5(f9(c39,f26(f28(c46,X_304),c39)),f30(f32(c45,X_304),c39)),f5(f9(c39,f26(f28(c47,X_304),c39)),f30(f32(c45,X_304),c39))) ),
inference(subst,[],[p4_55:[bind(X106,$fot(f26(f28(c46,X_304),c39))),bind(X107,$fot(f26(f28(c47,X_304),c39))),bind(X108,$fot(f30(f32(c45,X_304),c39)))]]) ).
cnf(refute_0_4,plain,
( ~ p34(c36,X_304)
| ~ p4(f5(f9(c39,f26(f28(c46,X_304),c39)),f30(f32(c45,X_304),c39)),f5(f9(c39,f26(f28(c47,X_304),c39)),f30(f32(c45,X_304),c39)))
| p4(f5(f26(f28(c46,X_304),c39),X_306),f5(f9(c39,f26(f28(c46,X_304),c39)),X_306)) ),
inference(subst,[],[p4_58:[bind(X116,$fot(X_304)),bind(X117,$fot(c39)),bind(X119,$fot(X_306))]]) ).
cnf(refute_0_5,plain,
( ~ p34(c36,X_304)
| p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,X_304),c39)),f26(f28(c47,X_304),c39)),f30(f32(c45,X_304),c39))),f30(f32(c45,X_304),c39))
| p4(f5(f26(f28(c46,X_304),c39),X_306),f5(f9(c39,f26(f28(c46,X_304),c39)),X_306)) ),
inference(resolve,[$cnf( p4(f5(f9(c39,f26(f28(c46,X_304),c39)),f30(f32(c45,X_304),c39)),f5(f9(c39,f26(f28(c47,X_304),c39)),f30(f32(c45,X_304),c39))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p34(c36,c37)
| p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| p4(f5(f26(f28(c46,c37),c39),X_308),f5(f9(c39,f26(f28(c46,c37),c39)),X_308)) ),
inference(subst,[],[refute_0_5:[bind(X_304,$fot(c37)),bind(X_306,$fot(X_308))]]) ).
cnf(refute_0_7,plain,
( p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| p4(f5(f26(f28(c46,c37),c39),X_308),f5(f9(c39,f26(f28(c46,c37),c39)),X_308)) ),
inference(resolve,[$cnf( p34(c36,c37) )],[p34_19,refute_0_6]) ).
cnf(refute_0_8,plain,
( p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))) ),
inference(subst,[],[refute_0_7:[bind(X_308,$fot(f7(c38,f26(f28(c46,c37),c39))))]]) ).
cnf(refute_0_9,plain,
p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)),
inference(resolve,[$cnf( p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
( ~ p34(c36,c37)
| ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| p4(f5(f26(f28(c46,c37),c39),X_368),f5(f9(c39,f26(f28(c46,c37),c39)),X_368))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(subst,[],[p4_57:[bind(X116,$fot(c37)),bind(X117,$fot(c39)),bind(X118,$fot(f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))),bind(X119,$fot(X_368))]]) ).
cnf(refute_0_11,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X_368),f5(f9(c39,f26(f28(c46,c37),c39)),X_368))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(resolve,[$cnf( p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( p4(f5(f26(f28(c46,c37),c39),X_368),f5(f9(c39,f26(f28(c46,c37),c39)),X_368))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(resolve,[$cnf( p34(c36,c37) )],[p34_19,refute_0_11]) ).
cnf(refute_0_13,plain,
( p4(f5(f26(f28(c46,c37),c39),X_369),f5(f9(c39,f26(f28(c46,c37),c39)),X_369))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(subst,[],[refute_0_12:[bind(X_368,$fot(X_369))]]) ).
cnf(refute_0_14,plain,
( p4(f5(f26(f28(c46,c37),c39),X_369),f5(f9(c39,f26(f28(c46,c37),c39)),X_369))
| p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(resolve,[$cnf( p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) )],[refute_0_13,refute_0_2]) ).
cnf(refute_0_15,plain,
( p4(f5(f26(f28(c46,c37),c39),X_370),f5(f9(c39,f26(f28(c46,c37),c39)),X_370))
| p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(subst,[],[refute_0_14:[bind(X_369,$fot(X_370))]]) ).
cnf(refute_0_16,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X119),f5(f9(c39,f26(f28(c46,c37),c39)),X119))
| p4(f5(f26(f28(c46,c37),c39),X_370),f5(f9(c39,f26(f28(c46,c37),c39)),X_370)) ),
inference(resolve,[$cnf( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
( p4(f5(f26(f28(c46,c37),c39),X119),f5(f9(c39,f26(f28(c46,c37),c39)),X119))
| p4(f5(f26(f28(c46,c37),c39),X_370),f5(f9(c39,f26(f28(c46,c37),c39)),X_370)) ),
inference(resolve,[$cnf( p34(c36,c37) )],[p34_19,refute_0_16]) ).
cnf(refute_0_18,plain,
p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))),
inference(subst,[],[refute_0_17:[bind(X119,$fot(f7(c38,f26(f28(c46,c37),c39)))),bind(X_370,$fot(f7(c38,f26(f28(c46,c37),c39))))]]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))) )],[refute_0_18,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 16:32:13 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.23/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.48
% 0.23/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.23/0.49
%------------------------------------------------------------------------------