%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG125+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 02:37:48 PM UTC 2026
% Result : Theorem 21.93s 3.62s
% Output : Proof 21.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 48 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 58 ( 24 ~; 11 |; 23 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 3 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,hypothesis,
~ ( ( aDivisorOf0(xu,xb)
| doDivides0(xu,xb)
| ? [W0] :
( sdtasdt0(xu,W0) = xb
& aElement0(W0) ) )
& ( aDivisorOf0(xu,xa)
| doDivides0(xu,xa)
| ? [W0] :
( sdtasdt0(xu,W0) = xa
& aElement0(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(f45_nnf,plain,
( ( ~ aDivisorOf0(xu,xb)
& ~ doDivides0(xu,xb)
& ! [W0] :
( sdtasdt0(xu,W0) != xb
| ~ aElement0(W0) ) )
| ( ~ aDivisorOf0(xu,xa)
& ~ doDivides0(xu,xa)
& ! [W0] :
( sdtasdt0(xu,W0) != xa
| ~ aElement0(W0) ) ) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [W0] :
( ( ~ aDivisorOf0(xu,xb)
& ~ doDivides0(xu,xb)
& ( sdtasdt0(xu,W0) != xb
| ~ aElement0(W0) ) )
| ( ~ aDivisorOf0(xu,xa)
& ~ doDivides0(xu,xa)
& ( sdtasdt0(xu,W0) != xa
| ~ aElement0(W0) ) ) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c193,plain,
( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
fof(f47,hypothesis,
~ ~ ( doDivides0(xu,xa)
& ? [W0] :
( sdtasdt0(xu,W0) = xa
& aElement0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(f47_nnf,plain,
( doDivides0(xu,xa)
& ? [W0] :
( sdtasdt0(xu,W0) = xa
& aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
( doDivides0(xu,xa)
& sdtasdt0(xu,sk40) = xa
& aElement0(sk40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk40])],[f47_nnf]) ).
cnf(c203,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p420,plain,
~ doDivides0(xu,xb),
inference(resolution,[status(thm)],[c193,c203]) ).
fof(f48,hypothesis,
~ ~ ( doDivides0(xu,xb)
& ? [W0] :
( sdtasdt0(xu,W0) = xb
& aElement0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(f48_nnf,plain,
( doDivides0(xu,xb)
& ? [W0] :
( sdtasdt0(xu,W0) = xb
& aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
( doDivides0(xu,xb)
& sdtasdt0(xu,sk41) = xb
& aElement0(sk41) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk41])],[f48_nnf]) ).
cnf(c206,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p421,plain,
$false,
inference(resolution,[status(thm)],[p420,c206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG125+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 08:21:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.93/3.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.93/3.62 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------