%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:24:07 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 26 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,axiom,
! [A,B,C,D] :
( B != D
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [A,B,C,D] :
( between_o(A,D,C,B)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [A,B,C,D] :
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
ordered_by(sk25,sk26,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
ordered_by(sk25,sk27,sk26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,plain,
! [B,D] :
( B != D
| ! [A,C] : ~ between_c(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( between_o(X0,X3,X2,X1)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f227,plain,
ordered_by(sk25,sk26,sk27),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f228,plain,
ordered_by(sk25,sk27,sk26),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f233,plain,
! [X0,X1,X2] : ~ between_c(X0,X1,X2,X1),
inference(destructive_equality_resolution,[status(thm)],[f164]) ).
fof(f505,plain,
! [X0,X1,X2] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f201,f233]) ).
fof(f510,plain,
! [X0,X1,X2] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[status(thm)],[f505,f180]) ).
fof(f557,plain,
~ ordered_by(sk25,sk26,sk27),
inference(resolution,[status(thm)],[f510,f228]) ).
fof(f561,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f557,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 11:41:42 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46 % Elapsed time: 0.073641 seconds
% 0.10/0.46 % CPU time: 0.300578 seconds
% 0.10/0.46 % Total memory used: 86.098 MB
% 0.10/0.46 % Net memory used: 85.738 MB
%------------------------------------------------------------------------------