%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CSR044+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Thu Jul 24 11:18:44 AM UTC 2025
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 28 |; 6 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 27 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query44,plain,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query44) ).
fof(query44_negated,plain,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
inference(negate_conjecture,[status(cth)],[query44]) ).
cnf(65,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) ),
inference(cnf,[status(esa)],[query44_negated]) ).
cnf(l0,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(instantiation,[status(thm)],[65]) ).
fof(just10,plain,
! [TERM] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
cnf(9,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(cnf,[status(esa)],[just10]) ).
cnf(l1,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ 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(instantiation,[status(thm)],[9]) ).
fof(just31,plain,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
cnf(30,plain,
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf,[status(esa)],[just31]) ).
cnf(l92,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(instantiation,[status(thm)],[30]) ).
fof(just12,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
cnf(11,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf,[status(esa)],[just12]) ).
cnf(l93,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(instantiation,[status(thm)],[11]) ).
fof(just48,plain,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
cnf(47,plain,
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf,[status(esa)],[just48]) ).
cnf(l2,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(instantiation,[status(thm)],[47]) ).
fof(just1,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
cnf(0,plain,
( ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf,[status(esa)],[just1]) ).
cnf(l94,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(instantiation,[status(thm)],[0]) ).
fof(just8,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
cnf(7,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf,[status(esa)],[just8]) ).
cnf(l7,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4,plain,
( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(instantiation,[status(thm)],[47]) ).
fof(just11,plain,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
cnf(10,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(cnf,[status(esa)],[just11]) ).
cnf(l97,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(instantiation,[status(thm)],[10]) ).
fof(just9,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
cnf(8,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf,[status(esa)],[just9]) ).
cnf(l39,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(instantiation,[status(thm)],[8]) ).
cnf(64,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf,[status(esa)],[query44_negated]) ).
cnf(l35,plain,
mtvisible(c_tptp_member3633_mt),
inference(instantiation,[status(thm)],[64]) ).
fof(just34,plain,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
cnf(33,plain,
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(cnf,[status(esa)],[just34]) ).
cnf(l95,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l96,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(instantiation,[status(thm)],[11]) ).
cnf(l98,plain,
( ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_cyclistsmt) ),
inference(instantiation,[status(thm)],[47]) ).
fof(just53,plain,
! [X,Y,Z] :
( ( genlmt(X,Y)
& genlmt(Y,Z) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
cnf(52,plain,
( ~ genlmt(X0,X1)
| ~ genlmt(X1,X2)
| genlmt(X0,X2) ),
inference(cnf,[status(esa)],[just53]) ).
cnf(l101,plain,
( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| genlmt(c_tptp_member3633_mt,c_cyclistsmt) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(l103,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(instantiation,[status(thm)],[8]) ).
cnf(l102,plain,
mtvisible(c_tptp_member3633_mt),
inference(instantiation,[status(thm)],[64]) ).
cnf(l104,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l92,l93,l2,l94,l7,l4,l97,l39,l35,l95,l96,l98,l101,l103,l102,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR044+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 : 300
% 0.12/0.33 % DateTime : Sun Jul 20 06:50:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.35 % launching worker at depth: 12
% 0.20/0.38 % launching worker at depth: 13
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------