TSTP Solution File: SWV239-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV239-2 : 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 : n032.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 16:42:37 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f24,f26]) ).
fof(f26,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f21,f12]) ).
fof(f12,plain,
! [X0] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
inference(duplicate_literal_removal,[],[f10]) ).
fof(f10,plain,
! [X0] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f7,f5]) ).
fof(f5,axiom,
! [X6,X7,X5] :
( ~ c_in(c_Main_OsubsetI__1(X5,X6,X7),X6,X7)
| c_lessequals(X5,X6,tc_set(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f7,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f4,axiom,
! [X6,X7,X5] :
( c_in(c_Main_OsubsetI__1(X5,X6,X7),X5,X7)
| c_lessequals(X5,X6,tc_set(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f21,plain,
( ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_2
<=> c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f24,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f23,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f17,f6]) ).
fof(f6,axiom,
! [X7,X5] : c_lessequals(X5,X5,tc_set(X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f17,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl0_1
<=> c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f19,f15]) ).
fof(f13,plain,
( ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV239-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 04:56:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (13165)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (13172)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)
% 0.11/0.33 % (13168)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)
% 0.11/0.33 % (13171)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33 % (13166)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.33 % (13167)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 % (13169)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.33 % (13170)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (13168)First to succeed.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (13171)Also succeeded, but the first one will report.
% 0.11/0.34 Detected minimum model sizes of [1,1,1]
% 0.11/0.34 Detected minimum model sizes of [1,1,1]
% 0.11/0.34 Detected maximum model sizes of [max,1,max]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 Detected maximum model sizes of [max,1,max]
% 0.11/0.34 TRYING [1,1,1]
% 0.11/0.34 TRYING [1,1,1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2,1,1]
% 0.11/0.34 TRYING [2,1,1]
% 0.11/0.34 % (13170)Also succeeded, but the first one will report.
% 0.11/0.34 % (13168)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (13168)------------------------------
% 0.11/0.34 % (13168)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (13168)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (13168)Memory used [KB]: 746
% 0.11/0.34 % (13168)Time elapsed: 0.003 s
% 0.11/0.34 % (13168)Instructions burned: 3 (million)
% 0.11/0.34 % (13168)------------------------------
% 0.11/0.34 % (13168)------------------------------
% 0.11/0.34 % (13165)Success in time 0.016 s
%------------------------------------------------------------------------------