%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG121+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 : n015.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 02:37:47 PM UTC 2026
% Result : Theorem 37.00s 5.12s
% Output : Proof 37.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 93 ( 32 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 95 ( 25 ~; 18 |; 51 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 9 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [W0] :
( aElement0(W0)
=> ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f8_nnf,plain,
! [W0] :
( ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 )
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [W0] :
( ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 )
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c9,plain,
( X0 = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f38,hypothesis,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f38_nnf,plain,
( aElement0(xb)
& aElement0(xa) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
( aElement0(xb)
& aElement0(xa) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c104,plain,
aElement0(xb),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p323,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[status(thm)],[c9,c104]) ).
fof(f42,hypothesis,
( aElementOf0(xb,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = xb
& aElement0(W0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = sz00
& aElement0(W0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = xa
& aElement0(W0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = sz00
& aElement0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f42_nnf,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = xb
& aElement0(W0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = sz00
& aElement0(W0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = xa
& aElement0(W0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = sz00
& aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
( aElementOf0(xb,slsdtgt0(xb))
& sdtasdt0(xb,sk30) = xb
& aElement0(sk30)
& aElementOf0(sz00,slsdtgt0(xb))
& sdtasdt0(xb,sk29) = sz00
& aElement0(sk29)
& aElementOf0(xa,slsdtgt0(xa))
& sdtasdt0(xa,sk28) = xa
& aElement0(sk28)
& aElementOf0(sz00,slsdtgt0(xa))
& sdtasdt0(xa,sk27) = sz00
& aElement0(sk27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk27,sk28,sk29,sk30])],[f42_nnf]) ).
cnf(c170,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(c161,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
fof(f52,conjecture,
( aElementOf0(xb,xI)
| ? [W0,W1] :
( sdtpldt0(W0,W1) = xb
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) )
| ? [W0,W1] :
( sdtpldt0(W0,W1) = xb
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f52_neg,negated_conjecture,
~ ( aElementOf0(xb,xI)
| ? [W0,W1] :
( sdtpldt0(W0,W1) = xb
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) )
| ? [W0,W1] :
( sdtpldt0(W0,W1) = xb
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ~ aElementOf0(xb,xI)
& ! [W0,W1] :
( sdtpldt0(W0,W1) != xb
| ~ aElementOf0(W1,slsdtgt0(xb))
| ~ aElementOf0(W0,slsdtgt0(xa)) )
& ! [W0,W1] :
( sdtpldt0(W0,W1) != xb
| ~ aElementOf0(W1,slsdtgt0(xb))
| ~ aElementOf0(W0,slsdtgt0(xa)) ) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [W0,W1] :
( ~ aElementOf0(xb,xI)
& ( sdtpldt0(W0,W1) != xb
| ~ aElementOf0(W1,slsdtgt0(xb))
| ~ aElementOf0(W0,slsdtgt0(xa)) )
& ( sdtpldt0(W0,W1) != xb
| ~ aElementOf0(W1,slsdtgt0(xb))
| ~ aElementOf0(W0,slsdtgt0(xa)) ) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c216,plain,
( sdtpldt0(X0,X1) != xb
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p580,plain,
( sdtpldt0(sz00,X0) != xb
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(resolution,[status(thm)],[c161,c216]) ).
cnf(p648,plain,
sdtpldt0(sz00,xb) != xb,
inference(resolution,[status(thm)],[c170,p580]) ).
cnf(p1262,plain,
xb != xb,
inference(superposition,[status(thm)],[p323,p648]) ).
cnf(p1263,plain,
$false,
inference(equality_resolution,[status(thm)],[p1262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG121+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 08:24:25 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.00/5.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.00/5.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------