%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 02:21:09 PM UTC 2026
% Result : Theorem 62.25s 9.34s
% Output : Proof 62.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 49 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 20 |; 4 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd24) ).
fof(f24_nnf,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c30,plain,
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f20,axiom,
! [Vd249,Vd250] :
( leq(Vd250,Vd249)
<=> ( Vd250 = Vd249
| less(Vd250,Vd249) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd20) ).
fof(f20_nnf,plain,
! [Vd249,Vd250] :
( ( ( Vd250 != Vd249
& ~ less(Vd250,Vd249) )
| leq(Vd250,Vd249) )
& ( Vd250 = Vd249
| less(Vd250,Vd249)
| ~ leq(Vd250,Vd249) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [Vd250,Vd249] :
( ( ( Vd250 != Vd249
& ~ less(Vd250,Vd249) )
| leq(Vd250,Vd249) )
& ( Vd250 = Vd249
| less(Vd250,Vd249)
| ~ leq(Vd250,Vd249) ) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c23,plain,
( ~ less(X1,X0)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p212,plain,
( leq(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c30,c23]) ).
fof(f1,axiom,
~ leq(vd390,vd391),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd1) ).
fof(f1_nnf,plain,
~ leq(vd390,vd391),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ leq(vd390,vd391),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ leq(vd390,vd391),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p4575,plain,
( greater(vd390,vd391)
| vd390 = vd391 ),
inference(resolution,[status(thm)],[p212,c1]) ).
fof(f0,conjecture,
greater(vd390,vd391),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd0) ).
fof(f0_neg,negated_conjecture,
~ greater(vd390,vd391),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
~ greater(vd390,vd391),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
~ greater(vd390,vd391),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ greater(vd390,vd391),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4587,plain,
vd390 = vd391,
inference(resolution,[status(thm)],[p4575,c0]) ).
cnf(p4588,plain,
~ leq(vd390,vd390),
inference(superposition,[status(thm)],[p4587,c1]) ).
cnf(c24,plain,
( X1 != X0
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p82,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c24]) ).
cnf(p4597,plain,
$false,
inference(resolution,[status(thm)],[p4588,p82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Thu Sep 24 05:33:09 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 62.25/9.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 62.25/9.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------