TSTP Solution File: SWV242-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV242-2 : 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 : n016.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 : Sun May 5 10:47:38 EDT 2024
% Result : Unsatisfiable 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f43,f47]) ).
fof(f47,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f45,f5]) ).
fof(f5,axiom,
! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
fof(f45,plain,
( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f15,f22]) ).
fof(f22,plain,
! [X0] :
( c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f17,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f17,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(v_G_H),X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(X2,X3,tc_set(X4))
| ~ c_lessequals(X3,X5,tc_set(X4))
| c_lessequals(X2,X5,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f15,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_2
<=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f43,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f40,f6]) ).
fof(f6,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
fof(f40,plain,
( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f27,f11]) ).
fof(f11,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f27,plain,
! [X0] :
( c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f18,f4]) ).
fof(f18,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(v_H_H),X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f13,f9]) ).
fof(f3,axiom,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n016.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 : Fri May 3 21:13:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (31729)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (31735)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (31731)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (31730)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (31732)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)
% 0.16/0.33 % (31736)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)
% 0.16/0.33 % (31733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (31734)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (31735)First to succeed.
% 0.16/0.33 Detected minimum model sizes of [1,1]
% 0.16/0.33 Detected maximum model sizes of [max,1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 % (31735)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31729"
% 0.16/0.33 Detected minimum model sizes of [1,1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2,1]
% 0.16/0.33 Detected maximum model sizes of [max,1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 % (31732)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [2,1]
% 0.16/0.33 % (31735)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (31735)------------------------------
% 0.16/0.33 % (31735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (31735)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (31735)Memory used [KB]: 762
% 0.16/0.33 % (31735)Time elapsed: 0.004 s
% 0.16/0.33 % (31735)Instructions burned: 4 (million)
% 0.16/0.33 % (31729)Success in time 0.018 s
%------------------------------------------------------------------------------