TSTP Solution File: SWV283-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 16:44:02 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 1 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 34 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f19,f37,f38,f57]) ).
fof(f57,plain,
( ~ spl2_2
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl2_2
| ~ spl2_4 ),
inference(resolution,[],[f46,f22]) ).
fof(f22,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl2_2 ),
inference(resolution,[],[f3,f17]) ).
fof(f17,plain,
( ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl2_2
<=> ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f3,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X2,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f46,plain,
( ! [X0] : ~ c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat)
| ~ spl2_2
| ~ spl2_4 ),
inference(resolution,[],[f44,f20]) ).
fof(f20,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
| ~ spl2_2 ),
inference(resolution,[],[f2,f17]) ).
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(f44,plain,
( ! [X0] :
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)
| ~ c_lessequals(v_x,v_xd(X0),tc_nat) )
| ~ spl2_4 ),
inference(resolution,[],[f43,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(f43,plain,
( ! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl2_4 ),
inference(resolution,[],[f36,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(f36,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_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_4
<=> ! [X0] :
( 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(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f38,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f10,f35,f31]) ).
fof(f31,plain,
( spl2_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f10,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)
| ~ sP1 ),
inference(general_splitting,[],[f6,f9_D]) ).
fof(f9,plain,
! [X0] :
( 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(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| sP1 ),
inference(cnf_transformation,[],[f9_D]) ).
fof(f9_D,plain,
( ! [X0] :
( 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(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,axiom,
! [X0,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(X0)),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)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f37,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f9,f35,f31]) ).
fof(f19,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f8,f16,f12]) ).
fof(f12,plain,
( spl2_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f8,plain,
! [X5] :
( c_lessequals(X5,v_xd(X5),tc_nat)
| ~ sP0 ),
inference(general_splitting,[],[f5,f7_D]) ).
fof(f7,plain,
! [X0] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| sP0 ),
inference(cnf_transformation,[],[f7_D]) ).
fof(f7_D,plain,
( ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat)
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
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) ).
fof(f18,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f7,f16,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 04:50:16 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (8783)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (8785)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (8790)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 % (8788)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (8786)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.39 % (8789)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (8787)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 % (8786)First to succeed.
% 0.21/0.40 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.21/0.40 Detected maximum model sizes of [max,max,1,1,max,1,max,1,1]
% 0.21/0.40 TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.40 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.21/0.40 Detected maximum model sizes of [max,max,1,1,max,1,max,1,1]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [1,1,1,1,2,1,1,1,1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 % (8784)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.40 TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.40 TRYING [2,1,1,1,2,1,1,1,1]
% 0.21/0.40 % (8788)Also succeeded, but the first one will report.
% 0.21/0.40 TRYING [1,1,1,1,2,1,1,1,1]
% 0.21/0.40 TRYING [1,2,1,1,2,1,1,1,1]
% 0.21/0.40 TRYING [2,1,1,1,2,1,1,1,1]
% 0.21/0.40 % (8789)Also succeeded, but the first one will report.
% 0.21/0.40 % (8786)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (8786)------------------------------
% 0.21/0.40 % (8786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (8786)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (8786)Memory used [KB]: 764
% 0.21/0.40 % (8786)Time elapsed: 0.004 s
% 0.21/0.40 % (8786)Instructions burned: 4 (million)
% 0.21/0.40 % (8786)------------------------------
% 0.21/0.40 % (8786)------------------------------
% 0.21/0.40 % (8783)Success in time 0.018 s
%------------------------------------------------------------------------------