%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:03:15 PM UTC 2026
% Result : Theorem 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0] :
( composition(one,X0) = X0
& composition(X0,one) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(one,X0) = X0
& composition(X0,one) = X0 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
? [X0] :
( composition(one,X0) != X0
| composition(X0,one) != X0 ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
( ? [X0] : composition(one,X0) != X0
| ? [X0] : composition(X0,one) != X0 ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
( composition(one,sK1_skl) != sK1_skl
| composition(sK0_skl,one) != sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X0,sK1_skl)],[f30]) ).
fof(f32,plain,
( composition(one,sK1_skl) != sK1_skl
| composition(sK0_skl,one) != sK0_skl ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f36,plain,
( composition(one,sK1_skl) != sK1_skl
| sK0_skl != sK0_skl ),
inference(forward_demodulation,[status(thm)],[f21,f32]) ).
fof(f37,plain,
composition(one,sK1_skl) != sK1_skl,
inference(trivial_equality_resolution,[status(thm)],[f36]) ).
fof(f74,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f162,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f836,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f162]) ).
fof(f857,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f836]) ).
fof(f907,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f74,f857]) ).
fof(f919,plain,
sK1_skl != sK1_skl,
inference(backward_demodulation,[status(thm)],[f923,f37]) ).
fof(f923,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f857,f907]) ).
fof(f936,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n026.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 21 04:01:53 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 0.21/0.54 % Refutation found
% 0.21/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.58 % Elapsed time: 0.127710 seconds
% 0.21/0.58 % CPU time: 0.717460 seconds
% 0.21/0.58 % Total memory used: 76.791 MB
% 0.21/0.58 % Net memory used: 76.377 MB
%------------------------------------------------------------------------------