%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:03:29 PM UTC 2026
% Result : Theorem 0.10s 5.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X2,X1) = X1
& join(X0,X1) = X1 ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
( join(join(sK0_skl,sK2_skl),sK1_skl) != sK1_skl
& join(sK2_skl,sK1_skl) = sK1_skl
& join(sK0_skl,sK1_skl) = sK1_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f29]) ).
fof(f31,plain,
join(sK0_skl,sK1_skl) = sK1_skl,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
join(sK2_skl,sK1_skl) = sK1_skl,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
join(join(sK0_skl,sK2_skl),sK1_skl) != sK1_skl,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f40,plain,
join(sK1_skl,sK0_skl) = sK1_skl,
inference(forward_demodulation,[status(thm)],[f16,f31]) ).
fof(f41,plain,
join(sK1_skl,sK2_skl) = sK1_skl,
inference(forward_demodulation,[status(thm)],[f16,f32]) ).
fof(f42,plain,
join(sK0_skl,join(sK2_skl,sK1_skl)) != sK1_skl,
inference(forward_demodulation,[status(thm)],[f17,f33]) ).
fof(f43,plain,
join(sK0_skl,join(sK1_skl,sK2_skl)) != sK1_skl,
inference(forward_demodulation,[status(thm)],[f16,f42]) ).
fof(f44,plain,
join(sK0_skl,sK1_skl) != sK1_skl,
inference(forward_demodulation,[status(thm)],[f41,f43]) ).
fof(f45,plain,
join(sK1_skl,sK0_skl) != sK1_skl,
inference(forward_demodulation,[status(thm)],[f16,f44]) ).
fof(f46,plain,
sK1_skl != sK1_skl,
inference(forward_demodulation,[status(thm)],[f40,f45]) ).
fof(f47,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n019.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 04:08:57 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.10/5.40 % Refutation found
% 0.10/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.42 % Elapsed time: 0.033754 seconds
% 0.15/5.42 % CPU time: 0.038171 seconds
% 0.15/5.42 % Total memory used: 675.840 KB
% 0.15/5.42 % Net memory used: 653.264 KB
%------------------------------------------------------------------------------