%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:15:29 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 64 ( 22 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 120 ( 61 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [J,A] :
( ~ m0(A,A,J)
| m1(J,J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,axiom,
! [F,G] :
( ~ m1(G,G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f215,axiom,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f315,axiom,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f336,axiom,
! [G,H,I,J] :
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f367,axiom,
! [H,I] :
( ~ r4(I)
| ~ l4(H)
| s5(H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ s5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f389,plain,
l0(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f417,plain,
! [J] :
( ! [A] : ~ m0(A,A,J)
| m1(J,J,J) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f418,plain,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f544,plain,
! [B] :
( ! [C] : ~ p0(C,B)
| p1(B,B,B) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f545,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f549,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
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(f646,plain,
! [F] :
( ! [G] : ~ m1(G,G,F)
| p2(F,F,F) ),
inference(miniscoping,[status(thm)],[f188]) ).
fof(f647,plain,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f686,plain,
! [E] :
( ~ p1(E,E,E)
| ! [F] :
( ~ k0(F)
| q2(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f215]) ).
fof(f687,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f686]) ).
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(b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f963,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[status(thm)],[f418,f388]) ).
fof(f974,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[status(thm)],[f837,f784]) ).
fof(f1003,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f1005,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f1003,f383]) ).
fof(f1009,plain,
! [X0] : l4(X0),
inference(backward_subsumption_resolution,[status(thm)],[f974,f1005]) ).
fof(f1011,plain,
! [X0,X1] :
( ~ r4(X1)
| s5(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f921,f1009]) ).
fof(f1090,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[status(thm)],[f647,f963]) ).
fof(f1092,plain,
! [X0] : n3(X0),
inference(resolution,[status(thm)],[f1090,f779]) ).
fof(f1191,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[status(thm)],[f549,f389]) ).
fof(f1383,plain,
! [X0] :
( ~ k0(X0)
| q2(a,X0,X0) ),
inference(resolution,[status(thm)],[f687,f1191]) ).
fof(f1422,plain,
! [X0] :
( ~ k0(X0)
| ~ n0(a,X0)
| q3(X0,X0) ),
inference(resolution,[status(thm)],[f802,f1383]) ).
fof(f1443,plain,
( ~ k0(b)
| q3(b,b) ),
inference(resolution,[status(thm)],[f1422,f384]) ).
fof(f1444,plain,
q3(b,b),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f401]) ).
fof(f2108,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| r4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f1092]) ).
fof(f2112,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| r4(X0) ),
inference(resolution,[status(thm)],[f2108,f1444]) ).
fof(f2118,plain,
! [X0] : r4(X0),
inference(resolution,[status(thm)],[f2112,f383]) ).
fof(f2134,plain,
! [X0] : s5(X0),
inference(backward_subsumption_resolution,[status(thm)],[f1011,f2118]) ).
fof(f2136,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f2134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:47:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.45 % Elapsed time: 0.076230 seconds
% 0.09/0.45 % CPU time: 0.262400 seconds
% 0.09/0.45 % Total memory used: 71.890 MB
% 0.09/0.45 % Net memory used: 71.613 MB
%------------------------------------------------------------------------------