%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:15:15 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.59s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] : m0(a,X,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
q0(d,c),
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(f58,axiom,
( ~ l0(c)
| m1(c,c,c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [F,G,H] :
( ~ m1(G,c,G)
| ~ q0(F,G)
| ~ m0(a,H,a)
| m1(F,a,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [C,D] :
( ~ n0(D,C)
| q1(C,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ k2(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f381,plain,
! [X0] : m0(a,X0,a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f402,plain,
q0(d,c),
inference(cnf_transformation,[status(thm)],[f33]) ).
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(f441,plain,
( ~ l0(c)
| m1(c,c,c) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f446,plain,
! [G] :
( ~ m1(G,c,G)
| ! [F] :
( ~ q0(F,G)
| ! [H] : ~ m0(a,H,a)
| m1(F,a,G) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f447,plain,
! [X0,X1,X2] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f567,plain,
! [C] :
( ! [D] : ~ n0(D,C)
| q1(C,C,C) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f568,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f567]) ).
fof(f610,plain,
! [D,F] :
( ~ k2(F,D)
| ~ k1(F)
| ! [C] :
( ! [E] : ~ m1(E,D,C)
| k2(C,D) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
! [J] :
( ! [A] : ~ q1(A,J,J)
| k2(J,J) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f924,plain,
~ k2(c,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
k1(a),
inference(resolution,[status(thm)],[f409,f406]) ).
fof(f933,plain,
! [X0,X1,X2] :
( ~ k2(a,X1)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[f925,f611]) ).
fof(f1069,plain,
! [X0,X1] :
( k2(X1,X1)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f568,f614]) ).
fof(f1070,plain,
k2(a,a),
inference(resolution,[status(thm)],[f1069,f406]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ m1(X1,a,X0)
| k2(X0,a) ),
inference(resolution,[status(thm)],[f1070,f933]) ).
fof(f1094,plain,
m1(c,c,c),
inference(forward_subsumption_resolution,[status(thm)],[f441,f393]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| m1(X0,a,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f381]) ).
fof(f1139,plain,
! [X0,X1] :
( k2(X1,a)
| ~ m1(X1,c,X1)
| ~ q0(X0,X1) ),
inference(resolution,[status(thm)],[f1138,f1078]) ).
fof(f1150,plain,
! [X0] :
( k2(c,a)
| ~ q0(X0,c) ),
inference(resolution,[status(thm)],[f1139,f1094]) ).
fof(f1156,plain,
! [X0] : ~ q0(X0,c),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f924]) ).
fof(f1162,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f402,f1156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.54 % Computer : n017.cluster.edu
% 0.10/5.54 % Model : x86_64 x86_64
% 0.10/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.54 % Memory : 8046.5625MB
% 0.10/5.54 % OS : Linux 6.8.0-71-generic
% 0.10/5.54 % CPULimit : 300
% 0.10/5.54 % WCLimit : 300
% 0.10/5.54 % DateTime : Mon Sep 21 10:39:02 UTC 2026
% 0.10/5.54 % CPUTime :
% 0.10/5.56 % Drodi V4.1.1
% 0.10/5.59 % Refutation found
% 0.10/5.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.62 % Elapsed time: 0.067682 seconds
% 0.14/5.62 % CPU time: 0.205633 seconds
% 0.14/5.62 % Total memory used: 68.113 MB
% 0.14/5.62 % Net memory used: 67.906 MB
%------------------------------------------------------------------------------