%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR056+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:13:14 PM UTC 2026
% Result : Theorem 78.05s 11.06s
% Output : CNFRefutation 73.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 8 unt; 5 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 95 ( 43 ~; 37 |; 4 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1048,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2404,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17177,axiom,
! [INS] :
( ( supplies(INS)
& mtvisible(c_tptp_member3717_mt) )
=> tptpofobject(INS,f_tptpquantityfn_17(n_385)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22608,axiom,
! [OBJ] :
( artsupplies(OBJ)
=> supplies(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44322,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f45524,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f1048]) ).
fof(f45525,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f45524]) ).
fof(f47229,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f2404]) ).
fof(f65776,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_17(n_385))
| ~ supplies(INS)
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f17177]) ).
fof(f65777,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0)
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(cnf_transformation,[status(thm)],[f65776]) ).
fof(f72598,plain,
! [OBJ] :
( supplies(OBJ)
| ~ artsupplies(OBJ) ),
inference(pre_NNF_transformation,[status(thm)],[f22608]) ).
fof(f72599,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(cnf_transformation,[status(thm)],[f72598]) ).
fof(f110715,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f44208]) ).
fof(f110716,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f110715]) ).
fof(f110717,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f110716]) ).
fof(f110738,plain,
! [QUANTITY] :
( ~ tptpofobject(c_tptpartsupplies,QUANTITY)
& mtvisible(c_tptp_member3717_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
( ! [QUANTITY] : ~ tptpofobject(c_tptpartsupplies,QUANTITY)
& mtvisible(c_tptp_member3717_mt) ),
inference(miniscoping,[status(thm)],[f110738]) ).
fof(f110740,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110741,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110829,definition,
( sQ24_spl
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f110831,plain,
( sQ24_spl
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(component_clause,[status(thm)],[f110829]) ).
fof(f110909,definition,
( sQ46_spl
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f110911,plain,
( sQ46_spl
| ~ mtvisible(c_cyclistsmt) ),
inference(component_clause,[status(thm)],[f110909]) ).
fof(f111082,definition,
( sQ92_spl
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f111083,plain,
( ~ sQ92_spl
| artsupplies(c_tptpartsupplies) ),
inference(component_clause,[status(thm)],[f111082]) ).
fof(f111085,plain,
( sQ92_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f45525,f110909,f111082]) ).
fof(f115187,definition,
( sQ1150_spl
<=> mtvisible(c_tptp_member3717_mt) ),
introduced(definition,[new_symbols(definition,[sQ1150_spl])],[split_symbol_definition]) ).
fof(f115189,plain,
( sQ1150_spl
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(component_clause,[status(thm)],[f115187]) ).
fof(f115190,definition,
! [X0] :
( sQ1151_spl
<=> ( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1151_spl])],[split_symbol_definition]) ).
fof(f115191,plain,
! [X0] :
( ~ sQ1151_spl
| tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) ),
inference(component_clause,[status(thm)],[f115190]) ).
fof(f115193,plain,
( sQ1151_spl
| ~ sQ1150_spl ),
inference(split_clause,[status(thm)],[f65777,f115187,f115190]) ).
fof(f118220,plain,
! [X0] :
( sQ46_spl
| ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f110911,f110717]) ).
fof(f118221,plain,
! [X0] :
( sQ24_spl
| ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f110831,f110717]) ).
fof(f118222,plain,
( sQ1150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115189,f110740]) ).
fof(f118223,plain,
sQ1150_spl,
inference(contradiction_clause,[status(thm)],[f118222]) ).
fof(f118224,plain,
( sQ46_spl
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[f118220,f44322]) ).
fof(f118227,plain,
( sQ24_spl
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(resolution,[status(thm)],[f118221,f47229]) ).
fof(f118228,plain,
( sQ24_spl
| ~ sQ1150_spl ),
inference(split_clause,[status(thm)],[f118227,f115187,f110829]) ).
fof(f118229,plain,
( sQ46_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f118224,f110829,f110909]) ).
fof(f118233,plain,
( ~ sQ1151_spl
| ~ supplies(c_tptpartsupplies) ),
inference(resolution,[status(thm)],[f115191,f110741]) ).
fof(f118234,plain,
( ~ sQ1151_spl
| ~ artsupplies(c_tptpartsupplies) ),
inference(resolution,[status(thm)],[f118233,f72599]) ).
fof(f118235,plain,
( ~ sQ1151_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f118234,f111083]) ).
fof(f118236,plain,
( ~ sQ1151_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f118235]) ).
fof(f118237,plain,
$false,
inference(sat_refutation,[status(thm)],[f111085,f115193,f118223,f118228,f118229,f118236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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 14:33:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 1.06/1.31 % Drodi V4.1.1
% 78.05/11.06 % Refutation found
% 78.05/11.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 78.05/11.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.83/11.44 % Elapsed time: 11.049719 seconds
% 23.83/11.44 % CPU time: 79.140096 seconds
% 23.83/11.44 % Total memory used: 2.059 GB
% 23.83/11.44 % Net memory used: 2.054 GB
%------------------------------------------------------------------------------