TSTP Solution File: CSR044+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 04:57:58 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 68 ( 11 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 137 ( 56 ~; 53 |; 8 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 48 ( 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f314,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f252,f257,f259,f265,f277,f304,f311,f313]) ).
fof(f313,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f276,f184]) ).
fof(f184,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f276,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| spl0_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl0_9
<=> executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f311,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f305,f184]) ).
fof(f305,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| spl0_11 ),
inference(resolution,[],[f303,f196]) ).
fof(f196,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X12] :
( executionbyfiringsquad(X12)
=> isa(X12,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f303,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| spl0_11 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl0_11
<=> isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f304,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f297,f270,f301,f229]) ).
fof(f229,plain,
( spl0_2
<=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f270,plain,
( spl0_8
<=> tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f297,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| spl0_8 ),
inference(resolution,[],[f267,f272]) ).
fof(f272,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| spl0_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f267,plain,
! [X2,X0,X1] :
( tptpcol_16_29490(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_29490))
| ~ isa(X2,X1)
| ~ relationallexists(X0,X1,c_tptpcol_16_29490) ),
inference(resolution,[],[f222,f202]) ).
fof(f202,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X12] :
( isa(X12,c_tptpcol_16_29490)
=> tptpcol_16_29490(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f277,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f266,f263,f274,f270]) ).
fof(f263,plain,
( spl0_7
<=> ! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f266,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ spl0_7 ),
inference(resolution,[],[f264,f182]) ).
fof(f182,plain,
! [X0] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) )
& mtvisible(c_tptp_member3633_mt) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X0)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ? [X12] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X12)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
? [X12] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X12)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
fof(f264,plain,
( ! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f204,f263,f225]) ).
fof(f225,plain,
( spl0_1
<=> mtvisible(c_cyclistsmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f204,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( executionbyfiringsquad(X0)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f259,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f256,f181]) ).
fof(f181,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f142]) ).
fof(f256,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| spl0_6 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_6
<=> mtvisible(c_tptp_member3633_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f257,plain,
( ~ spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f238,f249,f254]) ).
fof(f249,plain,
( spl0_5
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f238,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(resolution,[],[f215,f187]) ).
fof(f187,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f215,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| mtvisible(X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X18,X19] :
( ( genlmt(X18,X19)
& mtvisible(X18) )
=> mtvisible(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(f252,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f237,f225,f249]) ).
fof(f237,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f215,f190]) ).
fof(f190,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f232,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f193,f229,f225]) ).
fof(f193,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 20:09:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (26783)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (26789)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32 % (26790)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)
% 0.14/0.32 % (26785)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (26788)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.32 % (26787)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32 % (26786)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.14/0.32 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.14/0.32 Detected maximum model sizes of [max,1,3,7,max,max,max,max,max]
% 0.14/0.32 Detected maximum model sizes of [max,1,3,7,max,max,max,max,max]
% 0.14/0.32 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [2,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [2,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [3,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [3,1,1,1,1,1,1,1,1]
% 0.14/0.32 % (26786)First to succeed.
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [2,1,2,1,1,1,1,1,1]
% 0.14/0.32 TRYING [2,1,2,1,1,1,1,1,1]
% 0.14/0.32 % (26784)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (26788)Also succeeded, but the first one will report.
% 0.14/0.32 TRYING [2,1,1,2,1,1,1,1,1]
% 0.14/0.32 TRYING [2,1,1,2,1,1,1,1,1]
% 0.14/0.32 % (26786)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26783"
% 0.14/0.32 TRYING [4,1,1,1,1,1,1,1,1]
% 0.14/0.32 TRYING [4,1,1,1,1,1,1,1,1]
% 0.14/0.32 % (26789)Also succeeded, but the first one will report.
% 0.14/0.32 % (26786)Refutation found. Thanks to Tanya!
% 0.14/0.32 % SZS status Theorem for theBenchmark
% 0.14/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32 % (26786)------------------------------
% 0.14/0.32 % (26786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.32 % (26786)Termination reason: Refutation
% 0.14/0.32
% 0.14/0.32 % (26786)Memory used [KB]: 888
% 0.14/0.32 % (26786)Time elapsed: 0.005 s
% 0.14/0.32 % (26786)Instructions burned: 7 (million)
% 0.14/0.32 % (26783)Success in time 0.019 s
%------------------------------------------------------------------------------