%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN162-1 : 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 03:15:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 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 : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
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(f148,axiom,
! [B,C,D] :
( ~ m0(C,D,B)
| q1(B,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
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(f232,axiom,
! [F,G] :
( ~ k2(G,F)
| k3(F,F,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f248,axiom,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [H,I,J] :
( ~ p4(b,b,J)
| ~ s1(H)
| ~ p4(I,H,H)
| n5(H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ n5(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(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(f583,plain,
! [B] :
( ! [C,D] : ~ m0(C,D,B)
| q1(B,B,B) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f583]) ).
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(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(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(f711,plain,
! [X0,X1] :
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f735,plain,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f853,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f900,plain,
( ! [J] : ~ p4(b,b,J)
| ! [H] :
( ~ s1(H)
| ! [I] : ~ p4(I,H,H)
| n5(H,H) ) ),
inference(miniscoping,[status(thm)],[f354]) ).
fof(f901,plain,
! [X0,X1,X2] :
( ~ p4(b,b,X2)
| ~ s1(X0)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f924,plain,
~ n5(c,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f935,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f1008,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f1010,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f1008,f383]) ).
fof(f1013,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f735,f1010]) ).
fof(f1071,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[status(thm)],[f584,f388]) ).
fof(f1072,plain,
! [X0] : k2(X0,X0),
inference(resolution,[status(thm)],[f1071,f614]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[f609,f386]) ).
fof(f1079,plain,
! [X0] : s1(X0),
inference(resolution,[status(thm)],[f1078,f935]) ).
fof(f1080,plain,
! [X0,X1,X2] :
( ~ p4(b,b,X2)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f901,f1079]) ).
fof(f1127,plain,
! [X0,X1] :
( ~ k2(X1,X0)
| p4(X0,X1,X0) ),
inference(resolution,[status(thm)],[f853,f711]) ).
fof(f1128,plain,
! [X0] : p4(X0,X0,X0),
inference(resolution,[status(thm)],[f853,f1013]) ).
fof(f1129,plain,
! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(resolution,[status(thm)],[f1128,f1080]) ).
fof(f1133,plain,
! [X0] :
( ~ k2(X0,X0)
| n5(X0,X0) ),
inference(resolution,[status(thm)],[f1129,f1127]) ).
fof(f1135,plain,
! [X0] : n5(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f1072]) ).
fof(f1137,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f1135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN162-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 10:42:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.059086 seconds
% 0.09/0.42 % CPU time: 0.172345 seconds
% 0.09/0.42 % Total memory used: 55.244 MB
% 0.09/0.42 % Net memory used: 55.091 MB
%------------------------------------------------------------------------------