%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN214-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:15:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 18 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 76 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
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(f30,axiom,
n0(e,e),
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(f102,axiom,
! [A,B,C] :
( ~ l0(A)
| ~ m0(B,C,b)
| p1(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( ~ k1(A)
| p2(A,A,A) ),
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(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f315,axiom,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f336,axiom,
! [G,H,I,J] :
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f367,axiom,
! [H,I] :
( ~ r4(I)
| ~ l4(H)
| s5(H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ s5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
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(f509,plain,
! [A] :
( ~ l0(A)
| ! [B,C] : ~ m0(B,C,b)
| p1(A,A,A) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f510,plain,
! [X0,X1,X2] :
( ~ l0(X0)
| ~ m0(X1,X2,b)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f659,plain,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f778,plain,
! [D] :
( ! [E,F] : ~ p2(E,F,D)
| n3(D) ),
inference(miniscoping,[status(thm)],[f278]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f836,plain,
! [J] :
( ! [A,B] : ~ p3(A,B,J)
| l4(J) ),
inference(miniscoping,[status(thm)],[f315]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(cnf_transformation,[status(thm)],[f836]) ).
fof(f871,plain,
! [G] :
( ! [J] : ~ p0(J,G)
| ! [H,I] : ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
inference(miniscoping,[status(thm)],[f336]) ).
fof(f872,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f920,plain,
( ! [I] : ~ r4(I)
| ! [H] :
( ~ l4(H)
| s5(H) ) ),
inference(miniscoping,[status(thm)],[f367]) ).
fof(f921,plain,
! [X0,X1] :
( ~ r4(X1)
| ~ l4(X0)
| s5(X0) ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f924,plain,
~ s5(c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f930,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[status(thm)],[f837,f784]) ).
fof(f931,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| l4(X0) ),
inference(resolution,[status(thm)],[f930,f627]) ).
fof(f984,plain,
! [X0] :
( ~ l0(X0)
| p1(X0,X0,X0) ),
inference(resolution,[status(thm)],[f510,f388]) ).
fof(f985,plain,
! [X0] :
( l4(X0)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f984,f931]) ).
fof(f986,plain,
l4(c),
inference(resolution,[status(thm)],[f985,f393]) ).
fof(f989,plain,
! [X0] :
( ~ r4(X0)
| s5(c) ),
inference(resolution,[status(thm)],[f986,f921]) ).
fof(f990,plain,
! [X0] : ~ r4(X0),
inference(forward_subsumption_resolution,[status(thm)],[f989,f924]) ).
fof(f1167,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f990]) ).
fof(f1168,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p2(X4,X5,X3)
| ~ p0(X2,X3)
| ~ q3(X0,X1) ),
inference(resolution,[status(thm)],[f1167,f779]) ).
fof(f1170,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X2,X3,X4)
| ~ q3(X0,X1) ),
inference(resolution,[status(thm)],[f1168,f383]) ).
fof(f1175,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ n0(X3,X4)
| ~ q2(X3,X4,X5)
| ~ p2(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1170,f802]) ).
fof(f1179,plain,
! [X0,X1,X2,X3] :
( ~ q2(e,e,X3)
| ~ p2(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1175,f399]) ).
fof(f1205,plain,
! [X0,X1,X2,X3] :
( ~ l1(X3,e)
| ~ p2(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1179,f699]) ).
fof(f1214,plain,
! [X0,X1,X2,X3] :
( ~ n0(X3,e)
| ~ p2(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1205,f411]) ).
fof(f1215,plain,
! [X0,X1,X2] : ~ p2(X0,X1,X2),
inference(resolution,[status(thm)],[f1214,f399]) ).
fof(f1250,plain,
! [X0] : ~ k1(X0),
inference(backward_subsumption_resolution,[status(thm)],[f659,f1215]) ).
fof(f1252,plain,
! [X0,X1] : ~ n0(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f409,f1250]) ).
fof(f1256,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f406,f1252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN214-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:49:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.078367 seconds
% 0.13/0.46 % CPU time: 0.273291 seconds
% 0.13/0.46 % Total memory used: 71.957 MB
% 0.13/0.46 % Net memory used: 71.604 MB
%------------------------------------------------------------------------------