%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM841+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:41:47 PM UTC 2026
% Result : Theorem 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 76 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 32 ~; 26 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vplus(vd348,vd345) = vplus(vd345,vd348),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
vplus(vd345,vd347) = vplus(vd347,vd345),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Vd281,Vd282,Vd283] :
( ( ( less(Vd281,Vd282)
& leq(Vd282,Vd283) )
| ( leq(Vd281,Vd282)
& less(Vd282,Vd283) ) )
=> less(Vd281,Vd283) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Vd254,Vd255] :
( geq(Vd254,Vd255)
=> leq(Vd255,Vd254) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( Vd245 = Vd244
| greater(Vd245,Vd244) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
vplus(vd348,vd345) = vplus(vd345,vd348),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
vplus(vd345,vd347) = vplus(vd347,vd345),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f51,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f76,plain,
! [Vd281,Vd282,Vd283] :
( less(Vd281,Vd283)
| ( ( ~ less(Vd281,Vd282)
| ~ leq(Vd282,Vd283) )
& ( ~ leq(Vd281,Vd282)
| ~ less(Vd282,Vd283) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f77,plain,
! [Vd281,Vd283] :
( less(Vd281,Vd283)
| ( ! [Vd282] :
( ~ less(Vd281,Vd282)
| ~ leq(Vd282,Vd283) )
& ! [Vd282] :
( ~ leq(Vd281,Vd282)
| ~ less(Vd282,Vd283) ) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( less(X2,X1)
| ~ leq(X2,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f85,plain,
! [Vd254,Vd255] :
( leq(Vd255,Vd254)
| ~ geq(Vd254,Vd255) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f86,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f92,plain,
! [Vd244,Vd245] :
( ( ( Vd245 != Vd244
& ~ greater(Vd245,Vd244) )
| geq(Vd245,Vd244) )
& ( Vd245 = Vd244
| greater(Vd245,Vd244)
| ~ geq(Vd245,Vd244) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f93,plain,
( ! [Vd244,Vd245] :
( ( Vd245 != Vd244
& ~ greater(Vd245,Vd244) )
| geq(Vd245,Vd244) )
& ! [Vd244,Vd245] :
( Vd245 = Vd244
| greater(Vd245,Vd244)
| ~ geq(Vd245,Vd244) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f95,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| geq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,plain,
! [Vd226,Vd227] :
( greater(Vd227,Vd226)
| ~ less(Vd226,Vd227) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f98,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [Vd208,Vd209] :
( less(Vd209,Vd208)
| ~ greater(Vd208,Vd209) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f100,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f153,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[status(thm)],[f48,f49]) ).
fof(f154,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(backward_demodulation,[status(thm)],[f50,f153]) ).
fof(f172,plain,
~ less(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(resolution,[status(thm)],[f98,f47]) ).
fof(f174,plain,
less(vplus(vd345,vd347),vplus(vd344,vd347)),
inference(resolution,[status(thm)],[f100,f51]) ).
fof(f206,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f95,f86]) ).
fof(f275,plain,
! [X0] :
( ~ leq(vplus(vd345,vd348),X0)
| ~ less(X0,vplus(vd344,vd347)) ),
inference(resolution,[status(thm)],[f78,f172]) ).
fof(f491,plain,
! [X0] :
( ~ less(X0,vplus(vd344,vd347))
| ~ greater(X0,vplus(vd345,vd348)) ),
inference(resolution,[status(thm)],[f206,f275]) ).
fof(f1562,plain,
~ less(vplus(vd345,vd347),vplus(vd344,vd347)),
inference(resolution,[status(thm)],[f491,f154]) ).
fof(f1575,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1562,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM841+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 03:12:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.092858 seconds
% 0.14/0.46 % CPU time: 0.497676 seconds
% 0.14/0.46 % Total memory used: 85.769 MB
% 0.14/0.46 % Net memory used: 85.010 MB
%------------------------------------------------------------------------------