%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:15:37 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f145,axiom,
! [A] :
( ~ m0(e,d,A)
| ~ m0(A,d,A)
| q1(e,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f232,axiom,
! [F,G] :
( ~ k2(G,F)
| k3(F,F,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p4(e,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f442,plain,
! [J] :
( ~ k0(J)
| ! [I] :
( ~ l0(I)
| m1(I,J,I) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f443,plain,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f578,plain,
! [X0] :
( ~ m0(e,d,X0)
| ~ m0(X0,d,X0)
| q1(e,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f610,plain,
! [D,F] :
( ~ k2(F,D)
| ~ k1(F)
| ! [C] :
( ! [E] : ~ m1(E,D,C)
| k2(C,D) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
! [J] :
( ! [A] : ~ q1(A,J,J)
| k2(J,J) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f711,plain,
! [X0,X1] :
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f853,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f924,plain,
~ p4(e,c,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f930,plain,
k1(e),
inference(resolution,[status(thm)],[f409,f399]) ).
fof(f1006,plain,
! [X0,X1] :
( p4(X1,X0,X1)
| ~ k2(X0,X1) ),
inference(resolution,[status(thm)],[f711,f853]) ).
fof(f1008,plain,
~ k2(c,e),
inference(resolution,[status(thm)],[f1006,f924]) ).
fof(f1302,plain,
! [X0] :
( ~ m0(e,d,X0)
| q1(e,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f388]) ).
fof(f1303,plain,
! [X0] : q1(e,X0,X0),
inference(resolution,[status(thm)],[f1302,f388]) ).
fof(f1306,plain,
! [X0] : k2(X0,X0),
inference(resolution,[status(thm)],[f1303,f614]) ).
fof(f1371,plain,
! [X0,X1,X2] :
( ~ k1(X1)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[f611,f1306]) ).
fof(f1411,plain,
! [X0,X1] :
( ~ m1(X1,e,X0)
| k2(X0,e) ),
inference(resolution,[status(thm)],[f1371,f930]) ).
fof(f1440,plain,
! [X0] :
( ~ k0(e)
| ~ l0(X0)
| k2(X0,e) ),
inference(resolution,[status(thm)],[f1411,f443]) ).
fof(f1450,plain,
! [X0] :
( ~ l0(X0)
| k2(X0,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f397]) ).
fof(f1452,plain,
~ l0(c),
inference(resolution,[status(thm)],[f1450,f1008]) ).
fof(f1454,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1452,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n009.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 10:47:47 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.45 % Elapsed time: 0.074661 seconds
% 0.15/5.45 % CPU time: 0.302350 seconds
% 0.15/5.45 % Total memory used: 62.066 MB
% 0.15/5.45 % Net memory used: 61.753 MB
%------------------------------------------------------------------------------