TSTP Solution File: CSR026+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR026+2 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Mon May 20 19:40:35 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 91 ( 38 ~; 34 |; 5 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6595,plain,
$false,
inference(avatar_sat_refutation,[],[f6336,f6358,f6361,f6521,f6529,f6541,f6590,f6594]) ).
fof(f6594,plain,
( ~ spl0_100
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f6593]) ).
fof(f6593,plain,
( $false
| ~ spl0_100
| ~ spl0_107 ),
inference(resolution,[],[f6591,f6540]) ).
fof(f6540,plain,
( runningshorts(c_tptprunningshorts)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f6538]) ).
fof(f6538,plain,
( spl0_100
<=> runningshorts(c_tptprunningshorts) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f6591,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ spl0_107 ),
inference(resolution,[],[f6589,f2686]) ).
fof(f2686,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f1888]) ).
fof(f1888,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[],[f1132]) ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query76) ).
fof(f6589,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f6588]) ).
fof(f6588,plain,
( spl0_107
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f6590,plain,
( ~ spl0_29
| spl0_107 ),
inference(avatar_split_clause,[],[f3563,f6588,f5034]) ).
fof(f5034,plain,
( spl0_29
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3563,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnf_transformation,[],[f2490]) ).
fof(f2490,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(flattening,[],[f2489]) ).
fof(f2489,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(ennf_transformation,[],[f1573]) ).
fof(f1573,plain,
! [X0] :
( ( runningshorts(X0)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
inference(rectify,[],[f440]) ).
fof(f440,axiom,
! [X9] :
( ( runningshorts(X9)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(X9,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_440) ).
fof(f6541,plain,
( ~ spl0_7
| spl0_100 ),
inference(avatar_split_clause,[],[f2999,f6538,f3754]) ).
fof(f3754,plain,
( spl0_7
<=> mtvisible(c_cyclistsmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2999,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1927]) ).
fof(f1927,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_163) ).
fof(f6529,plain,
( ~ spl0_25
| spl0_7 ),
inference(avatar_split_clause,[],[f5079,f3754,f3897]) ).
fof(f3897,plain,
( spl0_25
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f5079,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f3679,f2798]) ).
fof(f2798,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).
fof(f3679,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| mtvisible(X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[],[f2611]) ).
fof(f2611,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(flattening,[],[f2610]) ).
fof(f2610,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(ennf_transformation,[],[f1716]) ).
fof(f1716,plain,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
inference(rectify,[],[f1123]) ).
fof(f1123,axiom,
! [X19,X20] :
( ( genlmt(X19,X20)
& mtvisible(X19) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).
fof(f6521,plain,
( ~ spl0_65
| spl0_25 ),
inference(avatar_split_clause,[],[f5124,f3897,f6355]) ).
fof(f6355,plain,
( spl0_65
<=> mtvisible(c_tptp_member3993_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f5124,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f3679,f2772]) ).
fof(f2772,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f315]) ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_315) ).
fof(f6361,plain,
( ~ spl0_63
| spl0_29 ),
inference(avatar_split_clause,[],[f5073,f5034,f6331]) ).
fof(f6331,plain,
( spl0_63
<=> mtvisible(c_tptp_spindlecollectormt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f5073,plain,
( mtvisible(c_tptp_member2701_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[],[f3679,f2788]) ).
fof(f2788,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f344]) ).
fof(f344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_344) ).
fof(f6358,plain,
( ~ spl0_63
| spl0_65 ),
inference(avatar_split_clause,[],[f5072,f6355,f6331]) ).
fof(f5072,plain,
( mtvisible(c_tptp_member3993_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[],[f3679,f2786]) ).
fof(f2786,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f364]) ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_364) ).
fof(f6336,plain,
spl0_63,
inference(avatar_contradiction_clause,[],[f6335]) ).
fof(f6335,plain,
( $false
| spl0_63 ),
inference(resolution,[],[f6333,f2685]) ).
fof(f2685,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f1888]) ).
fof(f6333,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_63 ),
inference(avatar_component_clause,[],[f6331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : CSR026+2 : TPTP v8.2.0. Released v3.4.0.
% 0.08/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.39 % Computer : n013.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun May 19 00:25:08 EDT 2024
% 0.15/0.40 % CPUTime :
% 0.15/0.40 % (17462)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17463)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.44 % (17464)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.44 % (17465)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)
% 0.22/0.44 % (17466)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.44 % (17468)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.44 % (17469)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)
% 0.22/0.44 % (17467)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.46 TRYING [1]
% 0.22/0.47 TRYING [1]
% 0.22/0.47 TRYING [2]
% 0.22/0.47 TRYING [2]
% 0.22/0.48 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48 Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.22/0.48 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48 Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.22/0.48 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.49 TRYING [3]
% 0.22/0.50 TRYING [3]
% 0.22/0.50 % (17465)First to succeed.
% 0.22/0.50 % (17465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17462"
% 0.22/0.50 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.50 % (17465)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (17465)------------------------------
% 0.22/0.51 % (17465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51 % (17465)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (17465)Memory used [KB]: 3251
% 0.22/0.51 % (17465)Time elapsed: 0.062 s
% 0.22/0.51 % (17465)Instructions burned: 125 (million)
% 0.22/0.51 % (17462)Success in time 0.094 s
%------------------------------------------------------------------------------