%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 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 12:24:00 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [U,V,W,X] :
( parallel(V,W,U,X)
| ~ trapezoid(U,V,W,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [U,V,X,Y] :
( eq(X,V,U,V,X,Y)
| ~ parallel(U,V,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
trapezoid(a,b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
trapezoid(a,b,c,d),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
~ eq(a,c,b,c,a,d),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ trapezoid(X0,X2,X1,X3)
| eq(X0,X1,X2,X1,X0,X3) ),
inference(resolution,[status(thm)],[f10,f9]) ).
fof(f14,plain,
eq(a,c,b,c,a,d),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 10:06:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.044373 seconds
% 0.10/0.42 % CPU time: 0.127399 seconds
% 0.10/0.42 % Total memory used: 44.971 MB
% 0.10/0.42 % Net memory used: 44.441 MB
%------------------------------------------------------------------------------