TSTP Solution File: SWV283-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 18:44:51 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 1 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f10,f23,f64]) ).
fof(f64,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f46,f12]) ).
fof(f12,plain,
( ! [X2,X3] : c_lessequals(X2,v_xd(c_plus(X3,X2,tc_nat)),tc_nat)
| ~ spl0_1 ),
inference(resolution,[],[f9,f2]) ).
fof(f2,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X3,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f9,plain,
( ! [X5] : c_lessequals(X5,v_xd(X5),tc_nat)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> ! [X5] : c_lessequals(X5,v_xd(X5),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f46,plain,
( ! [X0] : ~ c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(v_x,X0,tc_nat)),tc_nat)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f26,f11]) ).
fof(f11,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl0_1 ),
inference(resolution,[],[f9,f3]) ).
fof(f3,axiom,
! [X2,X3,X4] :
( c_lessequals(X2,X4,tc_nat)
| ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f26,plain,
( ! [X0] :
( ~ c_lessequals(v_x,v_xd(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl0_2 ),
inference(resolution,[],[f24,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f24,plain,
( ! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,v_xd(X0),tc_nat) )
| ~ spl0_2 ),
inference(resolution,[],[f22,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f22,plain,
( ! [X6] :
( c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_2
<=> ! [X6] :
( c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Event_Oused(v_list),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f23,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f21,f21]) ).
fof(f6,axiom,
! [X0,X6] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f10,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f5,f8,f8]) ).
fof(f5,axiom,
! [X0,X5] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| c_lessequals(X5,v_xd(X5),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n025.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 : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:21:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (32698)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.49 % (32689)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.49 % (32698)First to succeed.
% 0.21/0.49 % (32689)Also succeeded, but the first one will report.
% 0.21/0.49 % (32682)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (32698)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (32698)------------------------------
% 0.21/0.49 % (32698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (32698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (32698)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (32698)Memory used [KB]: 5884
% 0.21/0.50 % (32698)Time elapsed: 0.058 s
% 0.21/0.50 % (32698)Instructions burned: 3 (million)
% 0.21/0.50 % (32698)------------------------------
% 0.21/0.50 % (32698)------------------------------
% 0.21/0.50 % (32669)Success in time 0.143 s
%------------------------------------------------------------------------------