TSTP Solution File: CSR044+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 15:54:38 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 68 ( 10 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 142 ( 59 ~; 55 |; 8 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 52 ( 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f464,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f244,f275,f277,f281,f296,f298,f461,f463]) ).
fof(f463,plain,
( ~ spl0_10
| spl0_24 ),
inference(avatar_split_clause,[],[f462,f458,f289]) ).
fof(f289,plain,
( spl0_10
<=> executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f458,plain,
( spl0_24
<=> isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f462,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| spl0_24 ),
inference(resolution,[],[f460,f227]) ).
fof(f227,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,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(f460,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| spl0_24 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl0_2
| ~ spl0_24
| spl0_11 ),
inference(avatar_split_clause,[],[f456,f293,f458,f237]) ).
fof(f237,plain,
( spl0_2
<=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f293,plain,
( spl0_11
<=> 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_11])]) ).
fof(f456,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| spl0_11 ),
inference(resolution,[],[f343,f295]) ).
fof(f295,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| spl0_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f343,plain,
! [X2,X0,X1] :
( tptpcol_16_29490(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_29490))
| ~ relationallexists(X0,X1,c_tptpcol_16_29490)
| ~ isa(X2,X1) ),
inference(resolution,[],[f204,f196]) ).
fof(f196,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,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(f204,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X3,X1,X2),X2)
| ~ relationallexists(X3,X1,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X3,X1,X2),X2)
| ~ isa(X0,X1)
| ~ relationallexists(X3,X1,X2) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X3,X2] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X2,X1,X3,X0] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X3,X0] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f298,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f291,f210]) ).
fof(f210,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(f291,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| spl0_10 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f296,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f286,f242,f293,f289]) ).
fof(f242,plain,
( spl0_3
<=> ! [X0] :
( ~ executionbyfiringsquad(X0)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f286,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ spl0_3 ),
inference(resolution,[],[f243,f199]) ).
fof(f199,plain,
! [X0] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,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)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12)
& tptpcol_16_29490(X12) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
? [X12] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12)
& tptpcol_16_29490(X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
fof(f243,plain,
( ! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f281,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f280,f272,f233]) ).
fof(f233,plain,
( spl0_1
<=> mtvisible(c_cyclistsmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f272,plain,
( spl0_9
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f280,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f203,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| ~ genlmt(X0,X1)
| mtvisible(X1) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ( 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(f203,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(f277,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f270,f200]) ).
fof(f200,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f172]) ).
fof(f270,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| spl0_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl0_8
<=> mtvisible(c_tptp_member3633_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f275,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f246,f272,f268]) ).
fof(f246,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(resolution,[],[f207,f194]) ).
fof(f194,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(f244,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f218,f233,f242]) ).
fof(f218,plain,
! [X0] :
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt) ),
inference(flattening,[],[f170]) ).
fof(f170,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(f240,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f213,f237,f233]) ).
fof(f213,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,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
% 0.04/0.12 % Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 18:32:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (32378)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.47 % (32362)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.47 % (32378)First to succeed.
% 0.19/0.47 % (32362)Refutation not found, incomplete strategy% (32362)------------------------------
% 0.19/0.47 % (32362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (32362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (32362)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (32362)Memory used [KB]: 5884
% 0.19/0.47 % (32362)Time elapsed: 0.006 s
% 0.19/0.47 % (32362)Instructions burned: 2 (million)
% 0.19/0.47 % (32362)------------------------------
% 0.19/0.47 % (32362)------------------------------
% 0.19/0.47 % (32378)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (32378)------------------------------
% 0.19/0.47 % (32378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (32378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (32378)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (32378)Memory used [KB]: 6140
% 0.19/0.47 % (32378)Time elapsed: 0.010 s
% 0.19/0.47 % (32378)Instructions burned: 4 (million)
% 0.19/0.47 % (32378)------------------------------
% 0.19/0.47 % (32378)------------------------------
% 0.19/0.47 % (32352)Success in time 0.12 s
%------------------------------------------------------------------------------