TSTP Solution File: SWV957-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : 300s
% DateTime : Sun May 5 11:13:00 EDT 2024
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 48
% Syntax : Number of formulae : 83 ( 52 unt; 0 def)
% Number of atoms : 116 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 9 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 25 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[f343,f349,f354,f359,f364,f368,f373,f377,f382,f387,f392,f396,f400,f404,f409,f413,f417,f426,f431,f435,f439,f443,f448,f453,f454]) ).
fof(f454,plain,
spl0_2,
inference(avatar_split_clause,[],[f253,f346]) ).
fof(f346,plain,
( spl0_2
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f253,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f453,plain,
spl0_24,
inference(avatar_split_clause,[],[f247,f450]) ).
fof(f450,plain,
( spl0_24
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f247,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_H_0) ).
fof(f448,plain,
spl0_23,
inference(avatar_split_clause,[],[f226,f445]) ).
fof(f445,plain,
( spl0_23
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f226,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_0) ).
fof(f443,plain,
spl0_22,
inference(avatar_split_clause,[],[f108,f441]) ).
fof(f441,plain,
( spl0_22
<=> ! [X11,X12,X1] : c_TypeRel_Owiden(X1,c_Type_Oty_ONT,c_Type_Oty_OClass(X11),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f108,axiom,
! [X11,X1,X12] : c_TypeRel_Owiden(X1,c_Type_Oty_ONT,c_Type_Oty_OClass(X11),X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__Class_2) ).
fof(f439,plain,
spl0_21,
inference(avatar_split_clause,[],[f168,f437]) ).
fof(f437,plain,
( spl0_21
<=> ! [X52,X12,X51] : c_Map_Omap__le(X51,X51,X12,X52) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f168,axiom,
! [X51,X52,X12] : c_Map_Omap__le(X51,X51,X12,X52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
fof(f435,plain,
spl0_20,
inference(avatar_split_clause,[],[f157,f433]) ).
fof(f433,plain,
( spl0_20
<=> ! [X12,X1] : c_COMBI(X1,X12) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f157,axiom,
! [X1,X12] : c_COMBI(X1,X12) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
fof(f431,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f421,f406,f375,f428]) ).
fof(f428,plain,
( spl0_19
<=> c_Type_Ois__refT(v_U____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f375,plain,
( spl0_8
<=> ! [X18] : c_Type_Ois__refT(c_Type_Oty_OClass(X18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f406,plain,
( spl0_15
<=> v_U____ = c_Type_Oty_OClass(v_C_H____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f421,plain,
( c_Type_Ois__refT(v_U____)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f376,f408]) ).
fof(f408,plain,
( v_U____ = c_Type_Oty_OClass(v_C_H____)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f376,plain,
( ! [X18] : c_Type_Ois__refT(c_Type_Oty_OClass(X18))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f426,plain,
spl0_18,
inference(avatar_split_clause,[],[f116,f424]) ).
fof(f424,plain,
( spl0_18
<=> ! [X0,X12,X1] : c_TypeRel_Owiden(X1,X0,X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f116,axiom,
! [X0,X1,X12] : c_TypeRel_Owiden(X1,X0,X0,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).
fof(f417,plain,
spl0_17,
inference(avatar_split_clause,[],[f263,f415]) ).
fof(f415,plain,
( spl0_17
<=> ! [X48] : v_T____ != c_Type_Oty_OClass(X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f263,plain,
! [X48] : v_T____ != c_Type_Oty_OClass(X48),
inference(definition_unfolding,[],[f219,f185]) ).
fof(f185,axiom,
c_Type_Oty_OVoid = v_T____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_void_0) ).
fof(f219,axiom,
! [X48] : c_Type_Oty_OVoid != c_Type_Oty_OClass(X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).
fof(f413,plain,
spl0_16,
inference(avatar_split_clause,[],[f255,f411]) ).
fof(f411,plain,
( spl0_16
<=> ! [X18,X12] : c_fequal(X18,X18,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f255,axiom,
! [X18,X12] : c_fequal(X18,X18,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f409,plain,
spl0_15,
inference(avatar_split_clause,[],[f252,f406]) ).
fof(f252,axiom,
v_U____ = c_Type_Oty_OClass(v_C_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f404,plain,
spl0_14,
inference(avatar_split_clause,[],[f242,f402]) ).
fof(f402,plain,
( spl0_14
<=> ! [X48] : c_Type_Oty_ONT != c_Type_Oty_OClass(X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f242,axiom,
! [X48] : c_Type_Oty_ONT != c_Type_Oty_OClass(X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).
fof(f400,plain,
spl0_13,
inference(avatar_split_clause,[],[f223,f398]) ).
fof(f398,plain,
( spl0_13
<=> ! [X48] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f223,axiom,
! [X48] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I15_J_0) ).
fof(f396,plain,
spl0_12,
inference(avatar_split_clause,[],[f222,f394]) ).
fof(f394,plain,
( spl0_12
<=> ! [X48] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f222,axiom,
! [X48] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).
fof(f392,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f261,f389]) ).
fof(f389,plain,
( spl0_11
<=> c_Type_Oty_ONT = v_T____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f261,plain,
c_Type_Oty_ONT != v_T____,
inference(definition_unfolding,[],[f189,f185]) ).
fof(f189,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).
fof(f387,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f259,f384]) ).
fof(f384,plain,
( spl0_10
<=> c_Type_Oty_OBoolean = v_T____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f259,plain,
c_Type_Oty_OBoolean != v_T____,
inference(definition_unfolding,[],[f198,f185]) ).
fof(f198,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).
fof(f382,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f257,f379]) ).
fof(f379,plain,
( spl0_9
<=> c_Type_Oty_OInteger = v_T____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f257,plain,
c_Type_Oty_OInteger != v_T____,
inference(definition_unfolding,[],[f147,f185]) ).
fof(f147,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OInteger,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).
fof(f377,plain,
spl0_8,
inference(avatar_split_clause,[],[f250,f375]) ).
fof(f250,axiom,
! [X18] : c_Type_Ois__refT(c_Type_Oty_OClass(X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_2) ).
fof(f373,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f162,f370]) ).
fof(f370,plain,
( spl0_7
<=> c_Type_Oty_ONT = c_Type_Oty_OInteger ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f162,axiom,
c_Type_Oty_ONT != c_Type_Oty_OInteger,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I16_J_0) ).
fof(f368,plain,
spl0_6,
inference(avatar_split_clause,[],[f150,f366]) ).
fof(f366,plain,
( spl0_6
<=> ! [X6] : c_Objects_Ohext(X6,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f150,axiom,
! [X6] : c_Objects_Ohext(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__refl_0) ).
fof(f364,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f144,f361]) ).
fof(f361,plain,
( spl0_5
<=> c_Type_Oty_OInteger = c_Type_Oty_OBoolean ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f144,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I11_J_0) ).
fof(f359,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f138,f356]) ).
fof(f356,plain,
( spl0_4
<=> c_Type_Oty_ONT = c_Type_Oty_OBoolean ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f138,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).
fof(f354,plain,
spl0_3,
inference(avatar_split_clause,[],[f135,f351]) ).
fof(f351,plain,
( spl0_3
<=> c_Type_Ois__refT(c_Type_Oty_ONT) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f135,axiom,
c_Type_Ois__refT(c_Type_Oty_ONT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_1) ).
fof(f349,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f344,f340,f346]) ).
fof(f340,plain,
( spl0_1
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f344,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
| spl0_1 ),
inference(forward_demodulation,[],[f342,f252]) ).
fof(f342,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
| spl0_1 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f254,f340]) ).
fof(f254,axiom,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 21:19:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (12252)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (12257)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (12255)WARNING: value z3 for option sas not known
% 0.20/0.37 % (12253)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (12256)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (12254)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (12255)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (12258)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (12259)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (12257)First to succeed.
% 0.20/0.38 % (12257)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12252"
% 0.20/0.38 % (12257)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (12257)------------------------------
% 0.20/0.38 % (12257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (12257)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (12257)Memory used [KB]: 1129
% 0.20/0.38 % (12257)Time elapsed: 0.010 s
% 0.20/0.38 % (12257)Instructions burned: 34 (million)
% 0.20/0.38 % (12252)Success in time 0.034 s
%------------------------------------------------------------------------------