%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 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 01:18:03 PM UTC 2026
% Result : Theorem 24.88s 3.58s
% Output : Proof 24.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 4 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,conjecture,
! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).
fof(f99_neg,negated_conjecture,
~ ! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f99_nnf,plain,
? [Xa,Xp,Xr,Xq] :
( Xp != Xq
& s(Xa,Xq) = Xr
& s(Xa,Xp) = Xr ),
inference(nnf_transformation,[status(thm)],[f99_neg]) ).
fof(f99_sk,plain,
( sk1 != sk3
& s(sk0,sk3) = sk2
& s(sk0,sk1) = sk2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f99_nnf]) ).
cnf(c114,plain,
s(sk0,sk3) = sk2,
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
fof(f98,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f98_nnf,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c112,plain,
s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(p168,plain,
s(sk0,sk2) = sk3,
inference(superposition,[status(thm)],[c114,c112]) ).
cnf(c113,plain,
s(sk0,sk1) = sk2,
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
cnf(p167,plain,
s(sk0,sk2) = sk1,
inference(superposition,[status(thm)],[c113,c112]) ).
cnf(p169,plain,
sk3 = sk1,
inference(demodulation,[status(thm)],[p168,p167]) ).
cnf(c115,plain,
sk1 != sk3,
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
cnf(p171,plain,
sk1 != sk1,
inference(superposition,[status(thm)],[p169,c115]) ).
cnf(p172,plain,
$false,
inference(equality_resolution,[status(thm)],[p171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n012.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 12:13:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.88/3.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.88/3.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------