%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 12:25:10 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 11 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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; 0-3 aty)
% Number of variables : 27 ( 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,axiom,
! [Xa,Xb,Xp,Xp1] :
( reflect(Xa,Xb,Xp1) = Xp
| reflect(Xa,Xb,Xp) != Xp1
| Xa = Xb ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,conjecture,
! [Xa,Xb,Xp,Xq] :
( Xp = Xq
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xa = Xb ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
~ ! [Xa,Xb,Xp,Xq] :
( Xp = Xq
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xa = Xb ),
inference(negated_conjecture,[status(cth)],[f189]) ).
fof(f535,plain,
! [X0,X1,X2,X3] :
( reflect(X0,X1,X3) = X2
| reflect(X0,X1,X2) != X3
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f539,plain,
? [Xa,Xb,Xp,Xq] :
( Xp != Xq
& reflect(Xa,Xb,Xp) = reflect(Xa,Xb,Xq)
& Xa != Xb ),
inference(pre_NNF_transformation,[status(thm)],[f190]) ).
fof(f540,plain,
? [Xp,Xq] :
( Xp != Xq
& ? [Xa,Xb] :
( reflect(Xa,Xb,Xp) = reflect(Xa,Xb,Xq)
& Xa != Xb ) ),
inference(miniscoping,[status(thm)],[f539]) ).
fof(f541,plain,
( sK0_skl != sK1_skl
& reflect(sK2_skl,sK3_skl,sK0_skl) = reflect(sK2_skl,sK3_skl,sK1_skl)
& sK2_skl != sK3_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Xp,sK0_skl),skolemize(Xq,sK1_skl),skolemize(Xa,sK2_skl),skolemize(Xb,sK3_skl)],[f540]) ).
fof(f542,plain,
sK2_skl != sK3_skl,
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f543,plain,
reflect(sK2_skl,sK3_skl,sK0_skl) = reflect(sK2_skl,sK3_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f544,plain,
sK0_skl != sK1_skl,
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f648,plain,
! [X0,X1,X2] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f535]) ).
fof(f655,plain,
( reflect(sK2_skl,sK3_skl,reflect(sK2_skl,sK3_skl,sK0_skl)) = sK1_skl
| sK2_skl = sK3_skl ),
inference(paramodulation,[status(thm)],[f543,f648]) ).
fof(f657,plain,
reflect(sK2_skl,sK3_skl,reflect(sK2_skl,sK3_skl,sK0_skl)) = sK1_skl,
inference(forward_subsumption_resolution,[status(thm)],[f655,f542]) ).
fof(f658,plain,
( sK2_skl = sK3_skl
| sK0_skl = sK1_skl ),
inference(paramodulation,[status(thm)],[f648,f657]) ).
fof(f661,plain,
sK2_skl = sK3_skl,
inference(forward_subsumption_resolution,[status(thm)],[f658,f544]) ).
fof(f671,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f661,f542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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 : Sun Sep 20 17:10:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.060091 seconds
% 0.14/0.43 % CPU time: 0.143457 seconds
% 0.14/0.43 % Total memory used: 63.821 MB
% 0.14/0.43 % Net memory used: 63.616 MB
%------------------------------------------------------------------------------