TSTP Solution File: SWV245-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV245-2 : 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 : n023.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 16:42:52 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f43,f45,f51,f55]) ).
fof(f55,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f52,f10]) ).
fof(f10,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_union(X6,X4,X5),X5)
| ~ c_in(X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f52,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f27,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f27,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_1
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f51,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f47,f42]) ).
fof(f42,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_4
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f47,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_X,X0),v_G,tc_Message_Omsg),
inference(resolution,[],[f20,f10]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg) ),
inference(resolution,[],[f14,f7]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f3,f5]) ).
fof(f5,axiom,
! [X2,X0] :
( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X0,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f45,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f38,f9]) ).
fof(f9,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f6,f2]) ).
fof(f6,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_union(X6,X4,X5),X5)
| ~ c_in(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f38,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_3
<=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f43,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f33,f29,f40,f36]) ).
fof(f29,plain,
( spl0_2
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f33,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f31,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f29,f25]) ).
fof(f17,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f8,f1]) ).
fof(f1,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f8,axiom,
! [X3,X6,X4,X5] :
( ~ c_in(X3,c_union(X6,X4,X5),X5)
| c_in(X3,X4,X5)
| c_in(X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV245-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n023.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
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 05:11:40 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (10168)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (10170)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 % (10173)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.33 % (10169)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.33 % (10174)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33 % (10171)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 % (10172)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 % (10175)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 Detected minimum model sizes of [1,1,1]
% 0.11/0.33 Detected maximum model sizes of [max,1,1]
% 0.11/0.33 TRYING [1]
% 0.11/0.34 TRYING [1,1,1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 Detected minimum model sizes of [1,1,1]
% 0.11/0.34 Detected maximum model sizes of [max,1,1]
% 0.11/0.34 % (10171)First to succeed.
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2,1,1]
% 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 % (10174)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [3,1,1]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3,1,1]
% 0.11/0.34 % (10171)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 % (10171)------------------------------
% 0.11/0.34 % (10171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (10171)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (10171)Memory used [KB]: 763
% 0.11/0.34 % (10171)Time elapsed: 0.004 s
% 0.11/0.34 % (10171)Instructions burned: 4 (million)
% 0.11/0.34 % (10171)------------------------------
% 0.11/0.34 % (10171)------------------------------
% 0.11/0.34 % (10168)Success in time 0.019 s
%------------------------------------------------------------------------------