%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:13:05 PM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 54 ~; 46 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 47 ( 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [TERM] :
( ( executionbyfiringsquad(TERM)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f243,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f297,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f783,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f919,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1269,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f1372,plain,
! [TERM] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f164]) ).
fof(f1373,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,[status(thm)],[f1372]) ).
fof(f1374,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f165]) ).
fof(f1375,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f1374]) ).
fof(f1489,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f1504,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f1568,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(pre_NNF_transformation,[status(thm)],[f297]) ).
fof(f1569,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1568]) ).
fof(f2446,plain,
! [X] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(pre_NNF_transformation,[status(thm)],[f783]) ).
fof(f2447,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[status(thm)],[f2446]) ).
fof(f2736,plain,
! [X] :
( isa(X,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X) ),
inference(pre_NNF_transformation,[status(thm)],[f919]) ).
fof(f2737,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[status(thm)],[f2736]) ).
fof(f3181,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f1123]) ).
fof(f3182,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f3181]) ).
fof(f3183,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f3182]) ).
fof(f3204,plain,
! [X] :
( ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
( ! [X] :
( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(miniscoping,[status(thm)],[f3204]) ).
fof(f3206,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[status(thm)],[f3205]) ).
fof(f3207,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[status(thm)],[f3205]) ).
fof(f3213,plain,
! [X0,X1] :
( ~ genlmt(X1,c_cyclistsmt)
| ~ mtvisible(X1)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) ),
inference(resolution,[status(thm)],[f1373,f3183]) ).
fof(f3217,plain,
! [X0] :
( ~ mtvisible(c_tptp_spindleheadmt)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) ),
inference(resolution,[status(thm)],[f1504,f3213]) ).
fof(f3218,plain,
! [X0,X1] :
( ~ genlmt(X1,c_tptp_spindleheadmt)
| ~ mtvisible(X1)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) ),
inference(resolution,[status(thm)],[f3217,f3183]) ).
fof(f3219,plain,
! [X0] :
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(resolution,[status(thm)],[f3218,f3207]) ).
fof(f3220,plain,
! [X0] :
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3219,f1269]) ).
fof(f3931,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolution,[status(thm)],[f2737,f1269]) ).
fof(f3938,plain,
! [X0,X1] :
( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,X0,c_executionbyfiringsquad,X1),X1)
| ~ relationallexists(X0,c_executionbyfiringsquad,X1) ),
inference(resolution,[status(thm)],[f3931,f1569]) ).
fof(f3941,plain,
( ~ mtvisible(c_cyclistsmt)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[f3938,f1375]) ).
fof(f3942,plain,
! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[f3941,f3183]) ).
fof(f3948,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[f3942,f1504]) ).
fof(f3949,plain,
! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0)
| isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[f3948,f3183]) ).
fof(f3950,plain,
! [X0] :
( tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f3949,f2447]) ).
fof(f3954,plain,
! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3950,f3220]) ).
fof(f3959,plain,
~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[f3954,f3206]) ).
fof(f3961,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3959,f1489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:32:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46 % Elapsed time: 0.087146 seconds
% 0.10/0.46 % CPU time: 0.247817 seconds
% 0.10/0.46 % Total memory used: 39.600 MB
% 0.10/0.46 % Net memory used: 39.494 MB
%------------------------------------------------------------------------------