%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:15:20 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.41s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 44 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
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(f130,axiom,
! [J,A,B,C] :
( ~ p0(C,J)
| ~ n0(B,A)
| q1(J,A,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f179,axiom,
! [B] :
( ~ q1(B,a,B)
| p2(B,a,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,axiom,
! [H,I,J] :
( ~ p2(e,H,I)
| ~ k1(J)
| p2(H,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f305,axiom,
! [B,C,D] :
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f323,axiom,
! [G,H] :
( ~ r3(H,G,H)
| ~ r0(G)
| p4(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f341,axiom,
! [D,E,F] :
( ~ p4(D,F,E)
| ~ r0(D)
| m5(D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m5(e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
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(f554,plain,
! [J] :
( ! [C] : ~ p0(C,J)
| ! [A] :
( ! [B] : ~ n0(B,A)
| q1(J,A,J) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f555,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f632,plain,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f653,plain,
! [H,I] :
( ~ p2(e,H,I)
| ! [J] : ~ k1(J)
| p2(H,I,I) ),
inference(miniscoping,[status(thm)],[f193]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f820,plain,
! [B,C] :
( ! [D] : ~ p2(B,D,C)
| r3(B,C,B) ),
inference(miniscoping,[status(thm)],[f305]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f850,plain,
! [X0,X1] :
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f880,plain,
! [D,E] :
( ! [F] : ~ p4(D,F,E)
| ~ r0(D)
| m5(D,E) ),
inference(miniscoping,[status(thm)],[f341]) ).
fof(f881,plain,
! [X0,X1,X2] :
( ~ p4(X0,X2,X1)
| ~ r0(X0)
| m5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f880]) ).
fof(f924,plain,
~ m5(e,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
! [X0,X1] :
( ~ p4(e,X1,X0)
| m5(e,X0) ),
inference(resolution,[status(thm)],[f382,f881]) ).
fof(f932,plain,
k1(c),
inference(resolution,[status(thm)],[f409,f395]) ).
fof(f1206,plain,
! [X0] :
( ~ r3(X0,e,X0)
| p4(e,e,X0) ),
inference(resolution,[status(thm)],[f850,f382]) ).
fof(f1216,plain,
! [X0] :
( m5(e,X0)
| ~ r3(X0,e,X0) ),
inference(resolution,[status(thm)],[f1206,f926]) ).
fof(f1217,plain,
! [X0,X1] :
( ~ p2(X0,X1,e)
| m5(e,X0) ),
inference(resolution,[status(thm)],[f1216,f821]) ).
fof(f1245,plain,
! [X0,X1] :
( m5(e,X1)
| ~ p2(e,X1,e)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[f654,f1217]) ).
fof(f1263,plain,
! [X0] :
( m5(e,X0)
| ~ p2(e,X0,e) ),
inference(resolution,[status(thm)],[f1245,f932]) ).
fof(f1269,plain,
( ~ q1(e,a,e)
| m5(e,a) ),
inference(resolution,[status(thm)],[f1263,f632]) ).
fof(f1279,plain,
~ q1(e,a,e),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f924]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ p0(X1,e)
| ~ n0(X0,a) ),
inference(resolution,[status(thm)],[f1279,f555]) ).
fof(f1281,plain,
! [X0] : ~ n0(X0,a),
inference(resolution,[status(thm)],[f1280,f383]) ).
fof(f1283,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f406,f1281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:39:57 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.39 % Drodi V4.1.1
% 0.03/0.41 % Refutation found
% 0.03/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.45 % Elapsed time: 0.075259 seconds
% 0.03/0.45 % CPU time: 0.237269 seconds
% 0.03/0.45 % Total memory used: 71.031 MB
% 0.03/0.45 % Net memory used: 70.802 MB
%------------------------------------------------------------------------------