%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 : Fri Sep 25 02:21:08 PM UTC 2026
% Result : Theorem 26.72s 4.34s
% Output : Proof 26.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 73 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd17) ).
fof(f17_nnf,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c22,plain,
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f16,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd16) ).
fof(f16_nnf,plain,
! [Vd208,Vd209] :
( less(Vd209,Vd208)
| ~ greater(Vd208,Vd209) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [Vd208,Vd209] :
( less(Vd209,Vd208)
| ~ greater(Vd208,Vd209) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c21,plain,
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p121,plain,
( less(X1,X0)
| less(X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c22,c21]) ).
fof(f0,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd0) ).
fof(f0_neg,negated_conjecture,
~ less(vd328,vd329),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
~ less(vd328,vd329),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
~ less(vd328,vd329),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1238,plain,
( less(vd329,vd328)
| vd328 = vd329 ),
inference(resolution,[status(thm)],[p121,c0]) ).
fof(f4,axiom,
! [Vd301,Vd302,Vd303] :
( less(Vd301,Vd302)
=> less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd4) ).
fof(f4_nnf,plain,
! [Vd301,Vd302,Vd303] :
( less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))
| ~ less(Vd301,Vd302) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Vd301,Vd302,Vd303] :
( less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))
| ~ less(Vd301,Vd302) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1261,plain,
( less(vplus(vd329,X0),vplus(vd328,X0))
| vd328 = vd329 ),
inference(resolution,[status(thm)],[p1238,c4]) ).
fof(f15,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd15) ).
fof(f15_nnf,plain,
! [Vd226,Vd227] :
( greater(Vd227,Vd226)
| ~ less(Vd226,Vd227) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [Vd226,Vd227] :
( greater(Vd227,Vd226)
| ~ less(Vd226,Vd227) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c20,plain,
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f1,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd1) ).
fof(f1_nnf,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p64,plain,
greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[status(thm)],[c20,c1]) ).
fof(f19,axiom,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd19) ).
fof(f19_nnf,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| ~ greater(Vd203,Vd204) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c24,plain,
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p123,plain,
~ less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[status(thm)],[p64,c24]) ).
cnf(p2037,plain,
vd328 = vd329,
inference(resolution,[status(thm)],[p1261,p123]) ).
cnf(p2038,plain,
less(vplus(vd328,vd330),vplus(vd328,vd330)),
inference(superposition,[status(thm)],[p2037,c1]) ).
fof(f18,axiom,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| Vd203 != Vd204 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd18) ).
fof(f18_nnf,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| Vd203 != Vd204 ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [Vd203,Vd204] :
( ~ less(Vd203,Vd204)
| Vd203 != Vd204 ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c23,plain,
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p74,plain,
~ less(X0,X0),
inference(equality_resolution,[status(thm)],[c23]) ).
cnf(p2228,plain,
$false,
inference(resolution,[status(thm)],[p2038,p74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 05:38:21 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.72/4.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.72/4.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------