TSTP Solution File: CSR044+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : 600s
% DateTime : Fri Jul 15 21:56:59 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 20 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 52 ~; 45 |; 7 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 46 ( 0 sgn 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just1,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) ).
fof(just8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ).
fof(just9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) ).
fof(just10,axiom,
! [TERM] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ).
fof(just11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ) ).
fof(just12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ).
fof(just31,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ) ).
fof(just34,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ) ).
fof(just48,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ) ).
fof(query44,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ) ).
fof(subgoal_0,plain,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(strip,[],[query44]) ).
fof(negate_0_0,plain,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ isa(X,c_tptpcol_16_29490)
| tptpcol_16_29490(X) ),
inference(canonicalize,[],[just31]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ isa(X,c_tptpcol_16_29490)
| tptpcol_16_29490(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(canonicalize,[],[just12]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(canonicalize,[],[just34]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(canonicalize,[],[just11]) ).
fof(normalize_0_6,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(canonicalize,[],[just8]) ).
fof(normalize_0_7,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[just48]) ).
fof(normalize_0_8,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[just9]) ).
fof(normalize_0_10,plain,
( mtvisible(c_tptp_member3633_mt)
& ! [X] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
| ~ tptpcol_16_29490(X) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
mtvisible(c_tptp_member3633_mt),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [DEPCOL,INDEPCOL,PRED,TERM] :
( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(canonicalize,[],[just1]) ).
fof(normalize_0_13,plain,
! [DEPCOL,INDEPCOL,PRED,TERM] :
( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
| ~ tptpcol_16_29490(X) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
| ~ tptpcol_16_29490(X) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [TERM] :
( ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(canonicalize,[],[just10]) ).
fof(normalize_0_17,plain,
! [TERM] :
( ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(specialize,[],[normalize_0_16]) ).
cnf(refute_0_0,plain,
( ~ isa(X,c_tptpcol_16_29490)
| tptpcol_16_29490(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)))]]) ).
cnf(refute_0_2,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
( ~ executionbyfiringsquad(X)
| isa(X,c_executionbyfiringsquad) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_4,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(c_tptpexecutionbyfiringsquad_90))]]) ).
cnf(refute_0_5,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolve,[$cnf( executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_8,plain,
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(subst,[],[refute_0_8:[bind(GENLMT,$fot(c_cyclistsmt)),bind(SPECMT,$fot(c_tptp_spindleheadmt))]]) ).
cnf(refute_0_10,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolve,[$cnf( genlmt(c_tptp_spindleheadmt,c_cyclistsmt) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_12,plain,
( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(subst,[],[refute_0_8:[bind(GENLMT,$fot(c_tptp_spindleheadmt)),bind(SPECMT,$fot(c_tptp_member3633_mt))]]) ).
cnf(refute_0_13,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[$cnf( genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
mtvisible(c_tptp_member3633_mt),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_15,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[$cnf( mtvisible(c_tptp_member3633_mt) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[$cnf( mtvisible(c_tptp_spindleheadmt) )],[refute_0_15,refute_0_10]) ).
cnf(refute_0_17,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(resolve,[$cnf( mtvisible(c_cyclistsmt) )],[refute_0_16,refute_0_6]) ).
cnf(refute_0_18,plain,
( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_19,plain,
( ~ isa(X_148,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(X_148,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(subst,[],[refute_0_18:[bind(DEPCOL,$fot(c_tptpcol_16_29490)),bind(INDEPCOL,$fot(c_executionbyfiringsquad)),bind(PRED,$fot(c_tptp_9_720)),bind(TERM,$fot(X_148))]]) ).
cnf(refute_0_20,plain,
( ~ isa(X_148,c_executionbyfiringsquad)
| isa(f_relationallexistsfn(X_148,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolve,[$cnf( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(subst,[],[refute_0_20:[bind(X_148,$fot(c_tptpexecutionbyfiringsquad_90))]]) ).
cnf(refute_0_22,plain,
isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(resolve,[$cnf( isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) )],[refute_0_5,refute_0_21]) ).
cnf(refute_0_23,plain,
tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[$cnf( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) )],[refute_0_22,refute_0_1]) ).
cnf(refute_0_24,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
| ~ tptpcol_16_29490(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_25,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)))]]) ).
cnf(refute_0_26,plain,
( ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_27,plain,
( ~ executionbyfiringsquad(TERM)
| tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolve,[$cnf( mtvisible(c_cyclistsmt) )],[refute_0_16,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(subst,[],[refute_0_27:[bind(TERM,$fot(c_tptpexecutionbyfiringsquad_90))]]) ).
cnf(refute_0_29,plain,
tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[$cnf( executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) )],[refute_0_2,refute_0_28]) ).
cnf(refute_0_30,plain,
~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[$cnf( tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )],[refute_0_29,refute_0_25]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) )],[refute_0_23,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 10 07:09:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37
% 0.19/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.38
%------------------------------------------------------------------------------