TSTP Solution File: SYN625-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN625-1 : 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 09:04:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 39 ( 5 unt; 27 nHn; 24 RR)
% Number of literals : 95 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 80 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c21_is_p15_1,negated_conjecture,
p15(c21) ).
cnf(f4_is_not_p15_8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)) ).
cnf(not_p15_10,negated_conjecture,
( ~ p15(X7)
| ~ p18(f9(X7),X76,X76) ) ).
cnf(p15_15,negated_conjecture,
( p15(X7)
| p18(f9(X7),f14(X7),f14(X7)) ) ).
cnf(not_p17_16,negated_conjecture,
( ~ p17(X77,f11(c20))
| ~ p16(f9(c21),X77,c19) ) ).
cnf(p16_23,negated_conjecture,
( p16(X14,X15,X16)
| ~ p16(X14,X15,X17)
| ~ p16(X14,X17,X16) ) ).
cnf(p16_32,negated_conjecture,
( p16(f9(X18),X19,X20)
| p18(f9(X18),X19,X21)
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ).
cnf(p18_33,negated_conjecture,
( p18(f9(X18),X19,X21)
| p17(f12(X18,X20,X22,X19,X21),f11(X22))
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ).
cnf(p18_34,negated_conjecture,
( p18(f9(X18),X19,X21)
| p16(f9(X18),f12(X18,X20,X22,X19,X21),X21)
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ).
cnf(refute_0_0,plain,
( ~ p15(c21)
| ~ p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(subst,[],[not_p15_10:[bind(X7,$fot(c21)),bind(X76,$fot(f14(f4(f7(c19,c20),c21))))]]) ).
cnf(refute_0_1,plain,
( p15(f4(f7(X_142,X_144),X_140))
| p18(f9(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))) ),
inference(subst,[],[p15_15:[bind(X7,$fot(f4(f7(X_142,X_144),X_140)))]]) ).
cnf(refute_0_2,plain,
( ~ p18(f9(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140)))
| p17(f12(X_140,X_142,X_144,f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))),f11(X_144))
| p18(f9(X_140),f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))) ),
inference(subst,[],[p18_33:[bind(X18,$fot(X_140)),bind(X19,$fot(f14(f4(f7(X_142,X_144),X_140)))),bind(X20,$fot(X_142)),bind(X21,$fot(f14(f4(f7(X_142,X_144),X_140)))),bind(X22,$fot(X_144))]]) ).
cnf(refute_0_3,plain,
( p15(f4(f7(X_142,X_144),X_140))
| p17(f12(X_140,X_142,X_144,f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))),f11(X_144))
| p18(f9(X_140),f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))) ),
inference(resolve,[$cnf( p18(f9(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140)),f14(f4(f7(X_142,X_144),X_140))) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( p15(f4(f7(c19,c20),c21))
| p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(subst,[],[refute_0_3:[bind(X_140,$fot(c21)),bind(X_142,$fot(c19)),bind(X_144,$fot(c20))]]) ).
cnf(refute_0_5,plain,
( ~ p16(f9(c21),f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))),c19)
| ~ p17(f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))),f11(c20)) ),
inference(subst,[],[not_p17_16:[bind(X77,$fot(f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21)))))]]) ).
cnf(refute_0_6,plain,
( ~ p16(f9(c21),X15,f14(f4(f7(X_128,X_129),c21)))
| ~ p16(f9(c21),f14(f4(f7(X_128,X_129),c21)),X_128)
| p16(f9(c21),X15,X_128) ),
inference(subst,[],[p16_23:[bind(X14,$fot(f9(c21))),bind(X16,$fot(X_128)),bind(X17,$fot(f14(f4(f7(X_128,X_129),c21))))]]) ).
cnf(refute_0_7,plain,
( ~ p15(X_122)
| ~ p18(f9(X_122),f14(f4(f7(X_123,X_124),X_122)),f14(f4(f7(X_123,X_124),X_122))) ),
inference(subst,[],[not_p15_10:[bind(X7,$fot(X_122)),bind(X76,$fot(f14(f4(f7(X_123,X_124),X_122))))]]) ).
cnf(refute_0_8,plain,
( p15(f4(f7(X_119,X_121),X_117))
| p18(f9(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117))) ),
inference(subst,[],[p15_15:[bind(X7,$fot(f4(f7(X_119,X_121),X_117)))]]) ).
cnf(refute_0_9,plain,
( ~ p18(f9(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117)))
| p16(f9(X_117),f14(f4(f7(X_119,X_121),X_117)),X_119)
| p18(f9(X_117),f14(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117))) ),
inference(subst,[],[p16_32:[bind(X18,$fot(X_117)),bind(X19,$fot(f14(f4(f7(X_119,X_121),X_117)))),bind(X20,$fot(X_119)),bind(X21,$fot(f14(f4(f7(X_119,X_121),X_117)))),bind(X22,$fot(X_121))]]) ).
cnf(refute_0_10,plain,
( p15(f4(f7(X_119,X_121),X_117))
| p16(f9(X_117),f14(f4(f7(X_119,X_121),X_117)),X_119)
| p18(f9(X_117),f14(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117))) ),
inference(resolve,[$cnf( p18(f9(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117)),f14(f4(f7(X_119,X_121),X_117))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( p15(f4(f7(X_123,X_124),X_122))
| p16(f9(X_122),f14(f4(f7(X_123,X_124),X_122)),X_123)
| p18(f9(X_122),f14(f4(f7(X_123,X_124),X_122)),f14(f4(f7(X_123,X_124),X_122))) ),
inference(subst,[],[refute_0_10:[bind(X_117,$fot(X_122)),bind(X_119,$fot(X_123)),bind(X_121,$fot(X_124))]]) ).
cnf(refute_0_12,plain,
( ~ p15(X_122)
| p15(f4(f7(X_123,X_124),X_122))
| p16(f9(X_122),f14(f4(f7(X_123,X_124),X_122)),X_123) ),
inference(resolve,[$cnf( p18(f9(X_122),f14(f4(f7(X_123,X_124),X_122)),f14(f4(f7(X_123,X_124),X_122))) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
( ~ p15(c21)
| p15(f4(f7(X_126,X_127),c21))
| p16(f9(c21),f14(f4(f7(X_126,X_127),c21)),X_126) ),
inference(subst,[],[refute_0_12:[bind(X_122,$fot(c21)),bind(X_123,$fot(X_126)),bind(X_124,$fot(X_127))]]) ).
cnf(refute_0_14,plain,
( p15(f4(f7(X_126,X_127),c21))
| p16(f9(c21),f14(f4(f7(X_126,X_127),c21)),X_126) ),
inference(resolve,[$cnf( p15(c21) )],[c21_is_p15_1,refute_0_13]) ).
cnf(refute_0_15,plain,
( p15(f4(f7(X_128,X_129),c21))
| p16(f9(c21),f14(f4(f7(X_128,X_129),c21)),X_128) ),
inference(subst,[],[refute_0_14:[bind(X_126,$fot(X_128)),bind(X_127,$fot(X_129))]]) ).
cnf(refute_0_16,plain,
( ~ p16(f9(c21),X15,f14(f4(f7(X_128,X_129),c21)))
| p15(f4(f7(X_128,X_129),c21))
| p16(f9(c21),X15,X_128) ),
inference(resolve,[$cnf( p16(f9(c21),f14(f4(f7(X_128,X_129),c21)),X_128) )],[refute_0_15,refute_0_6]) ).
cnf(refute_0_17,plain,
( ~ p16(f9(c21),f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))),f14(f4(f7(X_329,X_330),c21)))
| p15(f4(f7(X_329,X_330),c21))
| p16(f9(c21),f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))),X_329) ),
inference(subst,[],[refute_0_16:[bind(X15,$fot(f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))))),bind(X_128,$fot(X_329)),bind(X_129,$fot(X_330))]]) ).
cnf(refute_0_18,plain,
( p15(f4(f7(X_147,X_149),X_145))
| p18(f9(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))) ),
inference(subst,[],[p15_15:[bind(X7,$fot(f4(f7(X_147,X_149),X_145)))]]) ).
cnf(refute_0_19,plain,
( ~ p18(f9(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145)))
| p16(f9(X_145),f12(X_145,X_147,X_149,f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))),f14(f4(f7(X_147,X_149),X_145)))
| p18(f9(X_145),f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))) ),
inference(subst,[],[p18_34:[bind(X18,$fot(X_145)),bind(X19,$fot(f14(f4(f7(X_147,X_149),X_145)))),bind(X20,$fot(X_147)),bind(X21,$fot(f14(f4(f7(X_147,X_149),X_145)))),bind(X22,$fot(X_149))]]) ).
cnf(refute_0_20,plain,
( p15(f4(f7(X_147,X_149),X_145))
| p16(f9(X_145),f12(X_145,X_147,X_149,f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))),f14(f4(f7(X_147,X_149),X_145)))
| p18(f9(X_145),f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))) ),
inference(resolve,[$cnf( p18(f9(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145)),f14(f4(f7(X_147,X_149),X_145))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( p15(f4(f7(X_329,X_330),c21))
| p16(f9(c21),f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))),f14(f4(f7(X_329,X_330),c21)))
| p18(f9(c21),f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))) ),
inference(subst,[],[refute_0_20:[bind(X_145,$fot(c21)),bind(X_147,$fot(X_329)),bind(X_149,$fot(X_330))]]) ).
cnf(refute_0_22,plain,
( p15(f4(f7(X_329,X_330),c21))
| p16(f9(c21),f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))),X_329)
| p18(f9(c21),f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))) ),
inference(resolve,[$cnf( p16(f9(c21),f12(c21,X_329,X_330,f14(f4(f7(X_329,X_330),c21)),f14(f4(f7(X_329,X_330),c21))),f14(f4(f7(X_329,X_330),c21))) )],[refute_0_21,refute_0_17]) ).
cnf(refute_0_23,plain,
( p15(f4(f7(c19,X_332),c21))
| p16(f9(c21),f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))),c19)
| p18(f9(c21),f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))) ),
inference(subst,[],[refute_0_22:[bind(X_329,$fot(c19)),bind(X_330,$fot(X_332))]]) ).
cnf(refute_0_24,plain,
( ~ p17(f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))),f11(c20))
| p15(f4(f7(c19,X_332),c21))
| p18(f9(c21),f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))) ),
inference(resolve,[$cnf( p16(f9(c21),f12(c21,c19,X_332,f14(f4(f7(c19,X_332),c21)),f14(f4(f7(c19,X_332),c21))),c19) )],[refute_0_23,refute_0_5]) ).
cnf(refute_0_25,plain,
( ~ p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(subst,[],[refute_0_24:[bind(X_332,$fot(c20))]]) ).
cnf(refute_0_26,plain,
( p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolve,[$cnf( p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)) )],[refute_0_4,refute_0_25]) ).
cnf(refute_0_27,plain,
p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(resolve,[$cnf( p15(f4(f7(c19,c20),c21)) )],[refute_0_26,f4_is_not_p15_8]) ).
cnf(refute_0_28,plain,
~ p15(c21),
inference(resolve,[$cnf( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) )],[refute_0_27,refute_0_0]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( p15(c21) )],[c21_is_p15_1,refute_0_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 06:06:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44
%------------------------------------------------------------------------------