%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN182-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:15:25 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.56s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f315,axiom,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f362,axiom,
! [I] :
( ~ l4(I)
| q5(I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ q5(X,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f513,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| p1(G,G,G) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f514,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f836,plain,
! [J] :
( ! [A,B] : ~ p3(A,B,J)
| l4(J) ),
inference(miniscoping,[status(thm)],[f315]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(cnf_transformation,[status(thm)],[f836]) ).
fof(f914,plain,
! [X0] :
( ~ l4(X0)
| q5(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f924,plain,
! [X0] : ~ q5(X0,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f929,plain,
! [X0,X1,X2] :
( q5(X2,X2)
| ~ p3(X0,X1,X2) ),
inference(resolution,[status(thm)],[f837,f914]) ).
fof(f930,plain,
! [X0,X1] : ~ p3(X0,X1,c),
inference(resolution,[status(thm)],[f929,f924]) ).
fof(f931,plain,
~ n2(c),
inference(resolution,[status(thm)],[f930,f784]) ).
fof(f932,plain,
! [X0,X1] : ~ p1(X0,X1,c),
inference(resolution,[status(thm)],[f931,f627]) ).
fof(f936,plain,
! [X0] : ~ n0(X0,c),
inference(resolution,[status(thm)],[f514,f932]) ).
fof(f938,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f395,f936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN182-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n002.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 10:48:17 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.54 % Drodi V4.1.1
% 0.16/0.56 % Refutation found
% 0.16/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.59 % Elapsed time: 0.060796 seconds
% 0.16/0.59 % CPU time: 0.166758 seconds
% 0.16/0.59 % Total memory used: 61.075 MB
% 0.16/0.59 % Net memory used: 60.938 MB
%------------------------------------------------------------------------------