%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN117-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:15:16 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 14 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
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(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f212,axiom,
! [H] :
( ~ k1(e)
| ~ n2(H)
| p2(H,H,H) ),
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(f305,axiom,
! [B,C,D] :
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f338,axiom,
! [E,F,G] :
( ~ r3(G,E,E)
| ~ s4(F)
| k5(E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ k5(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(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(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(f681,plain,
( ~ k1(e)
| ! [H] :
( ~ n2(H)
| p2(H,H,H) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f682,plain,
! [X0] :
( ~ k1(e)
| ~ n2(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f681]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
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(f873,plain,
! [A,C] :
( ~ l1(A,C)
| ! [B,D] : ~ p3(B,C,D)
| s4(A) ),
inference(miniscoping,[status(thm)],[f337]) ).
fof(f874,plain,
! [X0,X1,X2,X3] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f875,plain,
! [E] :
( ! [G] : ~ r3(G,E,E)
| ! [F] : ~ s4(F)
| k5(E) ),
inference(miniscoping,[status(thm)],[f338]) ).
fof(f876,plain,
! [X0,X1,X2] :
( ~ r3(X2,X0,X0)
| ~ s4(X1)
| k5(X0) ),
inference(cnf_transformation,[status(thm)],[f875]) ).
fof(f924,plain,
~ k5(e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f928,plain,
k1(e),
inference(resolution,[status(thm)],[f409,f399]) ).
fof(f960,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f962,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f960,f383]) ).
fof(f965,plain,
! [X0] : p3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f784,f962]) ).
fof(f1040,plain,
! [X0] :
( ~ k1(e)
| p2(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f962]) ).
fof(f1050,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[f874,f965]) ).
fof(f1052,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| s4(X0) ),
inference(resolution,[status(thm)],[f1050,f411]) ).
fof(f1053,plain,
s4(a),
inference(resolution,[status(thm)],[f1052,f406]) ).
fof(f1064,plain,
! [X0,X1] :
( ~ r3(X1,X0,X0)
| k5(X0) ),
inference(resolution,[status(thm)],[f1053,f876]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| k5(X0) ),
inference(resolution,[status(thm)],[f1064,f821]) ).
fof(f1104,plain,
! [X0] :
( ~ k1(e)
| k5(X0) ),
inference(resolution,[status(thm)],[f1079,f1040]) ).
fof(f1112,plain,
! [X0] : k5(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f928]) ).
fof(f1114,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f1112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN117-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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 10:42:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.45 % Elapsed time: 0.062826 seconds
% 0.10/0.45 % CPU time: 0.165943 seconds
% 0.10/0.45 % Total memory used: 50.939 MB
% 0.10/0.45 % Net memory used: 50.800 MB
%------------------------------------------------------------------------------