%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL046+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 : n006.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 02:03:28 PM UTC 2026
% Result : Theorem 0.21s 5.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 24 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 4 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 42 !; 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(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(X0,meet(X1,X2)) = meet(X1,X2)
=> ( join(X0,X2) = X2
& join(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,meet(X1,X2)) = meet(X1,X2)
=> ( join(X0,X2) = X2
& join(X0,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(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
? [X0,X1,X2] :
( ( join(X0,X2) != X2
| join(X0,X1) != X1 )
& join(X0,meet(X1,X2)) = meet(X1,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
( ( join(sK0_skl,sK2_skl) != sK2_skl
| join(sK0_skl,sK1_skl) != sK1_skl )
& join(sK0_skl,meet(sK1_skl,sK2_skl)) = meet(sK1_skl,sK2_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,meet(sK1_skl,sK2_skl)) = meet(sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
( join(sK0_skl,sK2_skl) != sK2_skl
| join(sK0_skl,sK1_skl) != sK1_skl ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f19,f18]) ).
fof(f41,plain,
! [X0] : join(sK0_skl,join(meet(sK1_skl,sK2_skl),X0)) = join(meet(sK1_skl,sK2_skl),X0),
inference(paramodulation,[status(thm)],[f31,f17]) ).
fof(f42,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f42]) ).
fof(f50,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f50]) ).
fof(f116,plain,
! [X0] : join(X0,meet(sK1_skl,sK2_skl)) = join(sK0_skl,join(X0,meet(sK1_skl,sK2_skl))),
inference(paramodulation,[status(thm)],[f31,f48]) ).
fof(f390,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f33]) ).
fof(f415,plain,
join(sK0_skl,sK1_skl) = join(meet(sK1_skl,sK2_skl),complement(join(complement(sK1_skl),sK2_skl))),
inference(paramodulation,[status(thm)],[f33,f41]) ).
fof(f441,plain,
( join(sK0_skl,sK2_skl) != sK2_skl
| sK1_skl != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f442,f32]) ).
fof(f442,plain,
join(sK0_skl,sK1_skl) = sK1_skl,
inference(forward_demodulation,[status(thm)],[f33,f415]) ).
fof(f461,plain,
join(sK0_skl,sK2_skl) != sK2_skl,
inference(trivial_equality_resolution,[status(thm)],[f441]) ).
fof(f516,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f390]) ).
fof(f802,plain,
join(meet(sK2_skl,complement(sK1_skl)),meet(sK1_skl,sK2_skl)) = join(sK0_skl,sK2_skl),
inference(paramodulation,[status(thm)],[f516,f116]) ).
fof(f815,plain,
sK2_skl = join(sK0_skl,sK2_skl),
inference(forward_demodulation,[status(thm)],[f516,f802]) ).
fof(f816,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f815,f461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n006.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Mon Sep 21 04:08:19 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.21/5.57 % Refutation found
% 0.21/5.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.60 % Elapsed time: 0.151011 seconds
% 0.21/5.60 % CPU time: 0.861178 seconds
% 0.21/5.60 % Total memory used: 76.007 MB
% 0.21/5.60 % Net memory used: 75.774 MB
%------------------------------------------------------------------------------