TSTP Solution File: SWW295+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW295+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : 300s
% DateTime : Mon Jun 24 18:31:55 EDT 2024
% Result : Theorem 0.71s 0.97s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 70 ( 1 unt; 0 def)
% Number of atoms : 246 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 293 ( 117 ~; 118 |; 28 &)
% ( 13 <=>; 16 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 106 ( 84 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5998,plain,
$false,
inference(avatar_sat_refutation,[],[f5796,f5801,f5806,f5811,f5812,f5813,f5818,f5819,f5820,f5827,f5884,f5971,f5977,f5997]) ).
fof(f5997,plain,
( spl20_1
| ~ spl20_3
| ~ spl20_4
| ~ spl20_8 ),
inference(avatar_contradiction_clause,[],[f5996]) ).
fof(f5996,plain,
( $false
| spl20_1
| ~ spl20_3
| ~ spl20_4
| ~ spl20_8 ),
inference(subsumption_resolution,[],[f5979,f5800]) ).
fof(f5800,plain,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f5798]) ).
fof(f5798,plain,
( spl20_3
<=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f5979,plain,
( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
| spl20_1
| ~ spl20_4
| ~ spl20_8 ),
inference(resolution,[],[f5974,f5535]) ).
fof(f5535,plain,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
inference(cnf_transformation,[],[f5416]) ).
fof(f5416,plain,
! [X0,X1,X2,X3] :
( ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) )
& ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ) ),
inference(nnf_transformation,[],[f5230]) ).
fof(f5230,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
<=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X7,X8,X9,X10] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X10),X9,hAPP(c_Nat_OSuc,X8),X7)
<=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X10)),X9,X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5974,plain,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK4,hAPP(c_Nat_OSuc,v_n),sK5)
| spl20_1
| ~ spl20_4
| ~ spl20_8 ),
inference(resolution,[],[f5972,f5805]) ).
fof(f5805,plain,
( v_P(sK3,sK4)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f5803]) ).
fof(f5803,plain,
( spl20_4
<=> v_P(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f5972,plain,
( ! [X0] :
( ~ v_P(sK3,X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X0,hAPP(c_Nat_OSuc,v_n),sK5) )
| spl20_1
| ~ spl20_8 ),
inference(resolution,[],[f5826,f5791]) ).
fof(f5791,plain,
( ~ v_Q(sK3,sK5)
| spl20_1 ),
inference(avatar_component_clause,[],[f5789]) ).
fof(f5789,plain,
( spl20_1
<=> v_Q(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f5826,plain,
( ! [X8,X6,X7] :
( v_Q(X6,X8)
| ~ v_P(X6,X7)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) )
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f5825]) ).
fof(f5825,plain,
( spl20_8
<=> ! [X6,X8,X7] :
( v_Q(X6,X8)
| ~ v_P(X6,X7)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f5977,plain,
( spl20_2
| ~ spl20_5
| ~ spl20_6
| ~ spl20_8 ),
inference(avatar_contradiction_clause,[],[f5976]) ).
fof(f5976,plain,
( $false
| spl20_2
| ~ spl20_5
| ~ spl20_6
| ~ spl20_8 ),
inference(subsumption_resolution,[],[f5975,f5810]) ).
fof(f5810,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f5808]) ).
fof(f5808,plain,
( spl20_5
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f5975,plain,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
| spl20_2
| ~ spl20_6
| ~ spl20_8 ),
inference(resolution,[],[f5973,f5817]) ).
fof(f5817,plain,
( v_P(sK0,sK1)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f5815]) ).
fof(f5815,plain,
( spl20_6
<=> v_P(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f5973,plain,
( ! [X0] :
( ~ v_P(sK0,X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X0,hAPP(c_Nat_OSuc,v_n),sK2) )
| spl20_2
| ~ spl20_8 ),
inference(resolution,[],[f5826,f5795]) ).
fof(f5795,plain,
( ~ v_Q(sK0,sK2)
| spl20_2 ),
inference(avatar_component_clause,[],[f5793]) ).
fof(f5793,plain,
( spl20_2
<=> v_Q(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f5971,plain,
( spl20_2
| ~ spl20_5
| ~ spl20_6
| ~ spl20_7 ),
inference(avatar_contradiction_clause,[],[f5970]) ).
fof(f5970,plain,
( $false
| spl20_2
| ~ spl20_5
| ~ spl20_6
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f5969,f5886]) ).
fof(f5886,plain,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK1,v_n,sK2)
| ~ spl20_5 ),
inference(resolution,[],[f5810,f5534]) ).
fof(f5534,plain,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
inference(cnf_transformation,[],[f5416]) ).
fof(f5969,plain,
( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK1,v_n,sK2)
| spl20_2
| ~ spl20_6
| ~ spl20_7 ),
inference(resolution,[],[f5885,f5817]) ).
fof(f5885,plain,
( ! [X0] :
( ~ v_P(sK0,X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X0,v_n,sK2) )
| spl20_2
| ~ spl20_7 ),
inference(resolution,[],[f5795,f5823]) ).
fof(f5823,plain,
( ! [X10,X11,X9] :
( v_Q(X9,X11)
| ~ v_P(X9,X10)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) )
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f5822]) ).
fof(f5822,plain,
( spl20_7
<=> ! [X9,X11,X10] :
( v_Q(X9,X11)
| ~ v_P(X9,X10)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f5884,plain,
( ~ spl20_3
| spl20_1
| ~ spl20_4
| ~ spl20_7 ),
inference(avatar_split_clause,[],[f5881,f5822,f5803,f5789,f5798]) ).
fof(f5881,plain,
( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
| spl20_1
| ~ spl20_4
| ~ spl20_7 ),
inference(resolution,[],[f5845,f5805]) ).
fof(f5845,plain,
( ! [X0] :
( ~ v_P(sK3,X0)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X0,v_n,sK5) )
| spl20_1
| ~ spl20_7 ),
inference(resolution,[],[f5823,f5791]) ).
fof(f5827,plain,
( spl20_7
| spl20_8 ),
inference(avatar_split_clause,[],[f5470,f5825,f5822]) ).
fof(f5470,plain,
! [X10,X11,X8,X6,X9,X7] :
( v_Q(X6,X8)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8)
| ~ v_P(X6,X7)
| v_Q(X9,X11)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11)
| ~ v_P(X9,X10) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5393,plain,
( ( ( ~ v_Q(sK0,sK2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
& v_P(sK0,sK1) )
| ( ~ v_Q(sK3,sK5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
& v_P(sK3,sK4) ) )
& ( ! [X6,X7] :
( ! [X8] :
( v_Q(X6,X8)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) )
| ~ v_P(X6,X7) )
| ! [X9,X10] :
( ! [X11] :
( v_Q(X9,X11)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) )
| ~ v_P(X9,X10) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f5388,f5392,f5391,f5390,f5389]) ).
fof(f5389,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X1,hAPP(c_Nat_OSuc,v_n),X2) )
& v_P(X0,X1) )
=> ( ? [X2] :
( ~ v_Q(sK0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),X2) )
& v_P(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f5390,plain,
( ? [X2] :
( ~ v_Q(sK0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),X2) )
=> ( ~ v_Q(sK0,sK2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f5391,plain,
( ? [X3,X4] :
( ? [X5] :
( ~ v_Q(X3,X5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X4,v_n,X5) )
& v_P(X3,X4) )
=> ( ? [X5] :
( ~ v_Q(sK3,X5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,X5) )
& v_P(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f5392,plain,
( ? [X5] :
( ~ v_Q(sK3,X5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,X5) )
=> ( ~ v_Q(sK3,sK5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f5388,plain,
( ( ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X1,hAPP(c_Nat_OSuc,v_n),X2) )
& v_P(X0,X1) )
| ? [X3,X4] :
( ? [X5] :
( ~ v_Q(X3,X5)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X4,v_n,X5) )
& v_P(X3,X4) ) )
& ( ! [X6,X7] :
( ! [X8] :
( v_Q(X6,X8)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) )
| ~ v_P(X6,X7) )
| ! [X9,X10] :
( ! [X11] :
( v_Q(X9,X11)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) )
| ~ v_P(X9,X10) ) ) ),
inference(rectify,[],[f5387]) ).
fof(f5387,plain,
( ( ? [X3,X4] :
( ? [X5] :
( ~ v_Q(X3,X5)
& c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
& v_P(X3,X4) )
| ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
& v_P(X0,X1) ) )
& ( ! [X3,X4] :
( ! [X5] :
( v_Q(X3,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
| ~ v_P(X3,X4) )
| ! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
| ~ v_P(X0,X1) ) ) ),
inference(nnf_transformation,[],[f5323]) ).
fof(f5323,plain,
( ! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
| ~ v_P(X0,X1) )
<~> ! [X3,X4] :
( ! [X5] :
( v_Q(X3,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
| ~ v_P(X3,X4) ) ),
inference(ennf_transformation,[],[f5207]) ).
fof(f5207,plain,
~ ( ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2)
=> v_Q(X0,X2) ) )
<=> ! [X3,X4] :
( v_P(X3,X4)
=> ! [X5] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5)
=> v_Q(X3,X5) ) ) ),
inference(rectify,[],[f5206]) ).
fof(f5206,negated_conjecture,
~ ( ! [X318,X319] :
( v_P(X318,X319)
=> ! [X320] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X319,v_n,X320)
=> v_Q(X318,X320) ) )
<=> ! [X318,X319] :
( v_P(X318,X319)
=> ! [X320] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X319,hAPP(c_Nat_OSuc,v_n),X320)
=> v_Q(X318,X320) ) ) ),
inference(negated_conjecture,[],[f5205]) ).
fof(f5205,conjecture,
( ! [X318,X319] :
( v_P(X318,X319)
=> ! [X320] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X319,v_n,X320)
=> v_Q(X318,X320) ) )
<=> ! [X318,X319] :
( v_P(X318,X319)
=> ! [X320] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X319,hAPP(c_Nat_OSuc,v_n),X320)
=> v_Q(X318,X320) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5820,plain,
( spl20_4
| spl20_6 ),
inference(avatar_split_clause,[],[f5471,f5815,f5803]) ).
fof(f5471,plain,
( v_P(sK0,sK1)
| v_P(sK3,sK4) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5819,plain,
( spl20_3
| spl20_6 ),
inference(avatar_split_clause,[],[f5472,f5815,f5798]) ).
fof(f5472,plain,
( v_P(sK0,sK1)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5818,plain,
( ~ spl20_1
| spl20_6 ),
inference(avatar_split_clause,[],[f5473,f5815,f5789]) ).
fof(f5473,plain,
( v_P(sK0,sK1)
| ~ v_Q(sK3,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5813,plain,
( spl20_4
| spl20_5 ),
inference(avatar_split_clause,[],[f5474,f5808,f5803]) ).
fof(f5474,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
| v_P(sK3,sK4) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5812,plain,
( spl20_3
| spl20_5 ),
inference(avatar_split_clause,[],[f5475,f5808,f5798]) ).
fof(f5475,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5811,plain,
( ~ spl20_1
| spl20_5 ),
inference(avatar_split_clause,[],[f5476,f5808,f5789]) ).
fof(f5476,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
| ~ v_Q(sK3,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5806,plain,
( spl20_4
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f5477,f5793,f5803]) ).
fof(f5477,plain,
( ~ v_Q(sK0,sK2)
| v_P(sK3,sK4) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5801,plain,
( spl20_3
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f5478,f5793,f5798]) ).
fof(f5478,plain,
( ~ v_Q(sK0,sK2)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
fof(f5796,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f5479,f5793,f5789]) ).
fof(f5479,plain,
( ~ v_Q(sK0,sK2)
| ~ v_Q(sK3,sK5) ),
inference(cnf_transformation,[],[f5393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW295+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:28:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31942)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31943)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31945)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31941)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31940)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31946)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.71/0.93 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.93 % (31944)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.71/0.97 % (31945)First to succeed.
% 0.71/0.97 % (31945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31939"
% 0.71/0.97 % (31939)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.97 % (31945)Refutation found. Thanks to Tanya!
% 0.71/0.97 % SZS status Theorem for theBenchmark
% 0.71/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.97 % (31945)------------------------------
% 0.71/0.97 % (31945)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.71/0.97 % (31945)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.71/0.97 % (31945)Termination reason: Refutation
% 0.71/0.97
% 0.71/0.97 % (31945)Memory used [KB]: 6275
% 0.71/0.97 % (31945)Time elapsed: 0.036 s
% 0.71/0.97 % (31945)Instructions burned: 61 (million)
% 0.71/0.97 % (31945)------------------------------
% 0.71/0.97 % (31945)------------------------------
% 0.71/0.97 % (31939)Success in time 0.107 s
%------------------------------------------------------------------------------