%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN157-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:15:21 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 63 ( 63 !; 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(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(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(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
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,
! [X] : ~ n5(X,d),
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(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(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(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(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,
! [X0] : ~ n5(X0,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f934,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f962,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f964,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f962,f383]) ).
fof(f969,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f735,f964]) ).
fof(f992,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) ),
inference(resolution,[status(thm)],[f609,f934]) ).
fof(f998,plain,
! [X0] : s1(X0),
inference(resolution,[status(thm)],[f992,f386]) ).
fof(f999,plain,
! [X0,X1,X2] :
( ~ p4(b,b,X2)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f901,f998]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0)
| ~ k3(b,b,b) ),
inference(resolution,[status(thm)],[f853,f999]) ).
fof(f1035,plain,
! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f969]) ).
fof(f1037,plain,
! [X0] :
( ~ k3(X0,X0,X0)
| n5(X0,X0) ),
inference(resolution,[status(thm)],[f1035,f853]) ).
fof(f1038,plain,
! [X0] : n5(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f969]) ).
fof(f1039,plain,
$false,
inference(resolution,[status(thm)],[f1038,f924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN157-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 10:44:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.065315 seconds
% 0.13/0.43 % CPU time: 0.191739 seconds
% 0.13/0.43 % Total memory used: 67.806 MB
% 0.13/0.43 % Net memory used: 67.631 MB
%------------------------------------------------------------------------------