%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN190-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:15:26 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 70 ( 23 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 211 ( 114 ~; 97 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 144 ( 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
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(f16,axiom,
m0(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
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(f83,axiom,
( ~ q0(d,d)
| n1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
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(f191,axiom,
! [B] :
( ~ n1(d,d,B)
| p2(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f263,axiom,
! [J,A,B,C] :
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f305,axiom,
! [B,C,D] :
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f306,axiom,
! [H,I,J,A] :
( ~ r3(I,A,A)
| ~ m3(J,b,H)
| ~ m2(I)
| r3(H,H,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ r3(a,X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(f385,plain,
m0(c,b,a),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f405,plain,
q0(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
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(f480,plain,
( ~ q0(d,d)
| n1(d,d,d) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f608,plain,
( ! [H] : ~ s1(H)
| ! [F] :
( ! [G] : ~ q0(F,G)
| s1(F) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f619,plain,
! [J,B] :
( ! [C] : ~ m0(C,B,J)
| ~ s1(B)
| ! [A] : ~ p0(A,A)
| l2(J,J) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f619]) ).
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(f651,plain,
! [X0] :
( ~ n1(d,d,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f705,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f757,plain,
! [B] :
( ~ s2(B)
| ! [J,C] :
( ~ m0(J,C,C)
| ~ l2(C,J)
| ! [A] :
( ~ m0(B,B,A)
| m3(J,A,J) ) ) ),
inference(miniscoping,[status(thm)],[f263]) ).
fof(f758,plain,
! [X0,X1,X2,X3] :
( ~ s2(X2)
| ~ m0(X0,X3,X3)
| ~ l2(X3,X0)
| ~ m0(X2,X2,X1)
| m3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f757]) ).
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(f822,plain,
! [I] :
( ! [A] : ~ r3(I,A,A)
| ! [H] :
( ! [J] : ~ m3(J,b,H)
| ~ m2(I)
| r3(H,H,I) ) ),
inference(miniscoping,[status(thm)],[f306]) ).
fof(f823,plain,
! [X0,X1,X2,X3] :
( ~ r3(X1,X3,X3)
| ~ m3(X2,b,X0)
| ~ m2(X1)
| r3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f822]) ).
fof(f924,plain,
! [X0] : ~ r3(a,X0,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f938,plain,
n1(d,d,d),
inference(forward_subsumption_resolution,[status(thm)],[f480,f386]) ).
fof(f985,plain,
( ~ s1(a)
| s2(d) ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f370]) ).
fof(f986,plain,
! [X0,X1] :
( ~ s1(X1)
| ~ q0(a,X0)
| s2(d) ),
inference(resolution,[status(thm)],[f985,f609]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ m0(X2,X1,X0)
| ~ s1(X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f620,f383]) ).
fof(f1008,plain,
! [X0,X1,X2] :
( ~ p0(X2,X2)
| ~ m0(X1,X2,X0)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f1003,f607]) ).
fof(f1053,plain,
! [X0,X1] :
( ~ m0(X1,b,X0)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f1008,f383]) ).
fof(f1056,plain,
l2(a,a),
inference(resolution,[status(thm)],[f1053,f385]) ).
fof(f1167,plain,
! [X0,X1] :
( ~ r3(d,X1,X1)
| ~ m3(X0,b,a)
| ~ m2(d) ),
inference(resolution,[status(thm)],[f823,f924]) ).
fof(f1168,plain,
! [X0,X1,X2,X3] :
( ~ l1(X2,X3)
| ~ s0(d)
| ~ r3(d,X1,X1)
| ~ m3(X0,b,a) ),
inference(resolution,[status(thm)],[f1167,f624]) ).
fof(f1169,plain,
! [X0,X1,X2,X3] :
( ~ l1(X2,X3)
| ~ r3(d,X1,X1)
| ~ m3(X0,b,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f370]) ).
fof(f1178,plain,
! [X0,X1,X2,X3,X4] :
( ~ s2(X3)
| ~ m0(a,X4,X4)
| ~ l2(X4,a)
| ~ m0(X3,X3,b)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1169,f758]) ).
fof(f1179,plain,
! [X0,X1,X2,X3] :
( ~ s2(X3)
| ~ m0(a,a,a)
| ~ m0(X3,X3,b)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1178,f1056]) ).
fof(f1180,plain,
! [X0,X1,X2,X3] :
( ~ s2(X3)
| ~ m0(X3,X3,b)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f381]) ).
fof(f1181,plain,
! [X0,X1,X2] :
( ~ s2(d)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1180,f388]) ).
fof(f1182,plain,
! [X0,X1,X2,X3,X4] :
( ~ s1(X4)
| ~ q0(a,X3)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1181,f986]) ).
fof(f1184,plain,
! [X0,X1,X2,X3] :
( ~ s1(X3)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1182,f405]) ).
fof(f1187,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X3)
| ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1184,f607]) ).
fof(f1196,plain,
! [X0,X1,X2] :
( ~ l1(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1187,f383]) ).
fof(f1199,plain,
! [X0,X1,X2] :
( ~ n0(X1,X2)
| ~ r3(d,X0,X0) ),
inference(resolution,[status(thm)],[f1196,f411]) ).
fof(f1207,plain,
! [X0,X1,X2] :
( ~ p2(d,X2,d)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f1199,f821]) ).
fof(f1208,plain,
! [X0] : ~ p2(d,X0,d),
inference(resolution,[status(thm)],[f1207,f406]) ).
fof(f1228,plain,
~ n1(d,d,d),
inference(resolution,[status(thm)],[f1208,f651]) ).
fof(f1236,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1228,f938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN190-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.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 10:45:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.072949 seconds
% 0.15/0.45 % CPU time: 0.264730 seconds
% 0.15/0.45 % Total memory used: 72.021 MB
% 0.15/0.45 % Net memory used: 71.713 MB
%------------------------------------------------------------------------------