%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG102+2 : TPTP v9.3.1. Released v4.0.0.
% 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 02:37:44 PM UTC 2026
% Result : Theorem 5.17s 1.02s
% Output : Proof 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 45 ( 23 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 36 ( 13 ~; 3 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,conjecture,
? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40_neg,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f40_nnf,plain,
! [W0] :
( sdtasdt0(xc,W0) != xy
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f40_neg]) ).
fof(f40_sk,plain,
! [W0] :
( sdtasdt0(xc,W0) != xy
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c112,plain,
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi103,negated_conjecture,
ifeq(aElement0(X0),true,ifeq(sdtasdt0(xc,X0),xy,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c112]) ).
fof(f38,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f38_nnf,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& sdtasdt0(xc,sk21) = xy
& aElement0(sk21)
& aElementOf0(xx,slsdtgt0(xc))
& sdtasdt0(xc,sk20) = xx
& aElement0(sk20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21])],[f38_nnf]) ).
cnf(c106,plain,
aElement0(sk21),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi96,axiom,
aElement0(sk21) = true,
inference(equality_encoding,[status(esa)],[c106]) ).
cnf(c107,plain,
sdtasdt0(xc,sk21) = xy,
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi97,axiom,
sdtasdt0(xc,sk21) = xy,
inference(equality_encoding,[status(esa)],[c107]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi103,hi96,hi97]) ).
cnf(t3128,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f17,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f17_nnf,plain,
sz10 != sz00,
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
sz10 != sz00,
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c23,plain,
sz10 != sz00,
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c112]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3128]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG102+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Thu Sep 24 08:14:35 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.17/1.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.17/1.02 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------