%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:15:17 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 67 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
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(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [F,G,H] :
( ~ l1(G,H)
| ~ s0(F)
| m2(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f213,axiom,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f250,axiom,
! [B] :
( ~ m2(B)
| k3(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f276,axiom,
! [I] :
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f333,axiom,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f340,axiom,
! [H,I] :
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f403,plain,
n0(c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
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(f410,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| l1(G,G) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f411,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f623,plain,
( ! [G,H] : ~ l1(G,H)
| ! [F] :
( ~ s0(F)
| m2(F) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f624,plain,
! [X0,X1,X2] :
( ~ l1(X1,X2)
| ~ s0(X0)
| m2(X0) ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f683,plain,
! [F] :
( ! [G] : ~ l1(G,F)
| p2(F,F,F) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f684,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f738,plain,
! [X0] :
( ~ m2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f776,plain,
! [X0] :
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f866,plain,
! [E] :
( ! [F] : ~ m3(E,F,E)
| ! [B,C] :
( ~ q2(E,C,B)
| ! [D] : ~ k3(D,D,B)
| q4(B,C) ) ),
inference(miniscoping,[status(thm)],[f333]) ).
fof(f867,plain,
! [X0,X1,X2,X3,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f878,plain,
! [H] :
( ~ k1(H)
| ! [I] : ~ q4(I,I)
| l5(H) ),
inference(miniscoping,[status(thm)],[f340]) ).
fof(f879,plain,
! [X0,X1] :
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
inference(cnf_transformation,[status(thm)],[f878]) ).
fof(f924,plain,
~ l5(c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0,X1,X2] :
( ~ q4(X2,X2)
| l5(X1)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f409,f879]) ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4,X5] :
( l5(X5)
| ~ n0(X4,X5)
| ~ m3(X2,X3,X2)
| ~ q2(X2,X1,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f867,f925]) ).
fof(f1120,plain,
! [X0,X1,X2,X3,X4] :
( ~ n0(X4,c)
| ~ m3(X2,X3,X2)
| ~ q2(X2,X1,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1119,f924]) ).
fof(f1121,plain,
! [X0,X1,X2,X3] :
( ~ m3(X2,X3,X2)
| ~ q2(X2,X1,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1120,f395]) ).
fof(f1129,plain,
! [X0,X1,X2] :
( ~ p2(X2,X2,X2)
| ~ q2(X2,X1,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1121,f776]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ l1(X1,X1)
| ~ p2(X1,X1,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1129,f699]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ l1(X1,X1)
| ~ k3(X0,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f684]) ).
fof(f1150,plain,
! [X0,X1,X2] :
( ~ n0(X2,X1)
| ~ k3(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1147,f411]) ).
fof(f1152,plain,
! [X0] : ~ k3(X0,X0,d),
inference(resolution,[status(thm)],[f1150,f403]) ).
fof(f1190,plain,
~ m2(d),
inference(resolution,[status(thm)],[f1152,f738]) ).
fof(f1193,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| ~ s0(d) ),
inference(resolution,[status(thm)],[f1190,f624]) ).
fof(f1194,plain,
! [X0,X1] : ~ l1(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1193,f370]) ).
fof(f1197,plain,
! [X0,X1] : ~ n0(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f411,f1194]) ).
fof(f1199,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f406,f1197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:43:58 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.077192 seconds
% 0.12/0.44 % CPU time: 0.289553 seconds
% 0.12/0.44 % Total memory used: 71.448 MB
% 0.12/0.44 % Net memory used: 71.186 MB
%------------------------------------------------------------------------------