%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 22 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 138 ( 79 ~; 59 |; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : m0(a,X,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
m0(d,e,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [H,I,J,A] :
( ~ s0(b)
| ~ p1(I,A,H)
| ~ l0(J)
| p1(H,I,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,axiom,
( ~ p0(b,a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [H,I,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| p1(H,I,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f174,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f239,axiom,
! [B,C,D,E] :
( ~ m2(D)
| ~ m2(E)
| ~ p1(C,D,B)
| k3(B,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ p4(d,e,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f381,plain,
! [X0] : m0(a,X0,a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
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(f404,plain,
m0(d,e,c),
inference(cnf_transformation,[status(thm)],[f35]) ).
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(f520,plain,
( ~ s0(b)
| ! [H,I] :
( ! [A] : ~ p1(I,A,H)
| ! [J] : ~ l0(J)
| p1(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f521,plain,
! [X0,X1,X2,X3] :
( ~ s0(b)
| ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f528,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f538,plain,
! [H,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| ! [I] : p1(H,I,J) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f539,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f625,plain,
( ~ k1(b)
| m2(b) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f721,plain,
! [D] :
( ~ m2(D)
| ! [E] : ~ m2(E)
| ! [B,C] :
( ~ p1(C,D,B)
| k3(B,B,C) ) ),
inference(miniscoping,[status(thm)],[f239]) ).
fof(f722,plain,
! [X0,X1,X2,X3] :
( ~ m2(X2)
| ~ m2(X3)
| ~ p1(X1,X2,X0)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f721]) ).
fof(f853,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f924,plain,
! [X0] : ~ p4(d,e,X0),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f941,plain,
! [X0,X1,X2,X3] :
( ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f374]) ).
fof(f942,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[status(thm)],[f528,f383]) ).
fof(f1033,plain,
! [X0,X1,X2,X3] :
( p4(X2,X0,X2)
| ~ m2(X1)
| ~ m2(X3)
| ~ p1(X0,X1,X2) ),
inference(resolution,[status(thm)],[f722,f853]) ).
fof(f1035,plain,
! [X0,X1] :
( ~ m2(X0)
| ~ m2(X1)
| ~ p1(e,X0,d) ),
inference(resolution,[status(thm)],[f1033,f924]) ).
fof(f1036,plain,
! [X0] :
( ~ k1(b)
| ~ m2(X0)
| ~ p1(e,X0,d) ),
inference(resolution,[status(thm)],[f1035,f625]) ).
fof(f1044,plain,
! [X0,X1] :
( ~ n0(X1,b)
| ~ m2(X0)
| ~ p1(e,X0,d) ),
inference(resolution,[status(thm)],[f1036,f409]) ).
fof(f1050,plain,
! [X0] :
( ~ k1(b)
| ~ n0(X0,b)
| ~ p1(e,b,d) ),
inference(resolution,[status(thm)],[f1044,f625]) ).
fof(f1052,plain,
! [X0] :
( ~ n0(X0,b)
| ~ p1(e,b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f409]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ p1(d,e,X1)
| ~ m0(d,e,X1)
| ~ n0(X0,b) ),
inference(resolution,[status(thm)],[f1052,f539]) ).
fof(f1084,plain,
! [X0] :
( ~ p1(d,e,c)
| ~ n0(X0,b) ),
inference(resolution,[status(thm)],[f1056,f404]) ).
fof(f1099,plain,
! [X0,X1] :
( ~ p1(c,d,X1)
| ~ m0(c,d,X1)
| ~ n0(X0,b) ),
inference(resolution,[status(thm)],[f1084,f539]) ).
fof(f1100,plain,
! [X0,X1] :
( ~ p1(c,d,X1)
| ~ n0(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f388]) ).
fof(f1104,plain,
! [X0,X1,X2] :
( ~ p1(d,X2,c)
| ~ l0(X1)
| ~ n0(X0,b) ),
inference(resolution,[status(thm)],[f1100,f941]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ p1(d,X1,c)
| ~ n0(X0,b) ),
inference(resolution,[status(thm)],[f1104,f393]) ).
fof(f1114,plain,
! [X0] : ~ p1(d,X0,c),
inference(resolution,[status(thm)],[f1105,f384]) ).
fof(f1120,plain,
! [X0] :
( ~ p1(c,d,X0)
| ~ m0(c,d,X0) ),
inference(resolution,[status(thm)],[f1114,f539]) ).
fof(f1123,plain,
! [X0] : ~ p1(c,d,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f388]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ p1(X0,c,X1)
| ~ m0(X0,c,X1) ),
inference(resolution,[status(thm)],[f1123,f539]) ).
fof(f1131,plain,
~ p1(a,c,a),
inference(resolution,[status(thm)],[f1125,f381]) ).
fof(f1141,plain,
! [X0] :
( ~ p1(a,a,X0)
| ~ m0(a,a,X0) ),
inference(resolution,[status(thm)],[f1131,f539]) ).
fof(f1159,plain,
~ p1(a,a,a),
inference(resolution,[status(thm)],[f1141,f381]) ).
fof(f1160,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1159,f942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 10:52:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.066987 seconds
% 0.13/0.44 % CPU time: 0.229112 seconds
% 0.13/0.44 % Total memory used: 70.929 MB
% 0.13/0.44 % Net memory used: 70.717 MB
%------------------------------------------------------------------------------