%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR044+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 0.23s 0.84s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 151 ( 76 ~; 60 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 58 ( 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2495,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2496,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2981,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5730,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7920,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8030,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f8198,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f11497,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)],[f2495]) ).
fof(f11498,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)],[f11497]) ).
fof(f11499,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f2496]) ).
fof(f11500,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f11499]) ).
fof(f12180,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)],[f2981]) ).
fof(f12181,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)],[f12180]) ).
fof(f14003,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f4288]) ).
fof(f16812,plain,
! [X] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(pre_NNF_transformation,[status(thm)],[f5730]) ).
fof(f16813,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[status(thm)],[f16812]) ).
fof(f21219,plain,
! [X] :
( isa(X,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7920]) ).
fof(f21220,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[status(thm)],[f21219]) ).
fof(f21368,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f7997]) ).
fof(f21369,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f21368]) ).
fof(f21370,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f21369]) ).
fof(f21391,plain,
! [X] :
( ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
( ! [X] :
( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(miniscoping,[status(thm)],[f21391]) ).
fof(f21393,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[status(thm)],[f21392]) ).
fof(f21394,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[status(thm)],[f21392]) ).
fof(f21448,plain,
! [X0,X1,X2] :
( tptpcol_16_29490(f_relationallexistsfn(X0,X2,X1,c_tptpcol_16_29490))
| ~ relationallexists(X2,X1,c_tptpcol_16_29490)
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[f12181,f16813]) ).
fof(f21449,plain,
! [X0] :
( ~ mtvisible(c_cyclistsmt)
| tptpcol_16_29490(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(X0,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[f21448,f11500]) ).
fof(f21450,plain,
! [X0,X1] :
( ~ genlmt(X1,c_cyclistsmt)
| ~ mtvisible(X1)
| tptpcol_16_29490(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ isa(X0,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[f21449,f21370]) ).
fof(f21452,plain,
! [X0,X1] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ genlmt(X1,c_cyclistsmt)
| ~ mtvisible(X1)
| ~ isa(X0,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[f21450,f21394]) ).
fof(f21453,plain,
! [X0] :
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[f21452,f11498]) ).
fof(f21454,plain,
! [X0] :
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21453,f21220]) ).
fof(f21455,plain,
! [X0,X1] :
( ~ genlmt(X1,c_cyclistsmt)
| ~ mtvisible(X1)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f21454,f21370]) ).
fof(f21456,plain,
! [X0,X1] :
( ~ genlmt(X1,c_cyclistsmt)
| ~ mtvisible(X1)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21455,f8030]) ).
fof(f21465,plain,
! [X0,X1,X2] :
( ~ genlmt(X2,X1)
| ~ mtvisible(X2)
| ~ genlmt(X1,c_cyclistsmt)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f21456,f21370]) ).
fof(f21474,plain,
! [X0,X1] :
( ~ genlmt(c_tptp_member3633_mt,X1)
| ~ genlmt(X1,c_cyclistsmt)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f21465,f21393]) ).
fof(f21486,plain,
! [X0] :
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f21474,f8198]) ).
fof(f21487,plain,
! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21486,f14003]) ).
fof(f21496,plain,
! [X0,X1] :
( ~ genlmt(X1,X0)
| ~ mtvisible(X1)
| ~ genlmt(X0,c_cyclistsmt) ),
inference(resolution,[status(thm)],[f21487,f21370]) ).
fof(f21504,plain,
! [X0] :
( ~ genlmt(c_tptp_member3633_mt,X0)
| ~ genlmt(X0,c_cyclistsmt) ),
inference(resolution,[status(thm)],[f21496,f21393]) ).
fof(f21516,plain,
~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(resolution,[status(thm)],[f21504,f8198]) ).
fof(f21517,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21516,f14003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR044+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:37:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.46 % Drodi V4.1.1
% 0.23/0.84 % Refutation found
% 0.23/0.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.31/2.12 % Elapsed time: 1.519343 seconds
% 4.31/2.12 % CPU time: 3.206329 seconds
% 4.31/2.12 % Total memory used: 407.600 MB
% 4.31/2.12 % Net memory used: 406.803 MB
%------------------------------------------------------------------------------