%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG116+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 : 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 02:37:46 PM UTC 2026
% Result : Theorem 30.41s 4.85s
% Output : Proof 30.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 45 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 43 ( 14 ~; 7 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,hypothesis,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = xl
& aElement0(W0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = xk
& aElement0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2456) ).
fof(f46_nnf,plain,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = xl
& aElement0(W0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = xk
& aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& sdtasdt0(xb,sk39) = xl
& aElement0(sk39)
& aElementOf0(xk,slsdtgt0(xa))
& sdtasdt0(xa,sk38) = xk
& aElement0(sk38) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk38,sk39])],[f46_nnf]) ).
cnf(c204,plain,
xu = sdtpldt0(xk,xl),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(c202,plain,
sdtasdt0(xb,sk39) = xl,
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(c201,plain,
aElement0(sk39),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(c198,plain,
aElement0(sk38),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
fof(f47,conjecture,
? [W0,W1] :
( xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
& aElement0(W1)
& aElement0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47_neg,negated_conjecture,
~ ? [W0,W1] :
( xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
& aElement0(W1)
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
! [W0,W1] :
( xu != sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
fof(f47_sk,plain,
! [W0,W1] :
( xu != sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c205,plain,
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p339,plain,
( xu != sdtpldt0(sdtasdt0(xa,sk38),sdtasdt0(xb,X0))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[c198,c205]) ).
cnf(p376,plain,
xu != sdtpldt0(sdtasdt0(xa,sk38),sdtasdt0(xb,sk39)),
inference(resolution,[status(thm)],[c201,p339]) ).
cnf(p467,plain,
xu != sdtpldt0(xk,xl),
inference(superposition,[status(thm)],[c202,p376]) ).
cnf(p468,plain,
$false,
inference(resolution,[status(thm)],[c204,p467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 08:25:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 30.41/4.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.41/4.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------