%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:15:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 45 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
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(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( ~ k1(A)
| p2(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f365,axiom,
! [C,D] :
( ~ n3(D)
| ~ k0(b)
| ~ s4(C)
| r5(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ r5(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f403,plain,
n0(c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
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(f659,plain,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
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(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(f917,plain,
! [D] :
( ~ n3(D)
| ~ k0(b)
| ! [C] :
( ~ s4(C)
| r5(C,D) ) ),
inference(miniscoping,[status(thm)],[f365]) ).
fof(f918,plain,
! [X0,X1] :
( ~ n3(X1)
| ~ k0(b)
| ~ s4(X0)
| r5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f917]) ).
fof(f924,plain,
~ r5(d,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
( ~ n3(d)
| ~ k0(b)
| ~ s4(d) ),
inference(resolution,[status(thm)],[f918,f924]) ).
fof(f927,plain,
( ~ n3(d)
| ~ s4(d) ),
inference(backward_subsumption_resolution,[status(thm)],[f926,f401]) ).
fof(f931,plain,
k1(d),
inference(resolution,[status(thm)],[f409,f403]) ).
fof(f940,plain,
l1(d,d),
inference(resolution,[status(thm)],[f411,f403]) ).
fof(f973,plain,
! [X0] :
( ~ k1(X0)
| n3(X0) ),
inference(resolution,[status(thm)],[f779,f659]) ).
fof(f977,plain,
n3(d),
inference(resolution,[status(thm)],[f973,f931]) ).
fof(f979,plain,
~ s4(d),
inference(backward_subsumption_resolution,[status(thm)],[f927,f977]) ).
fof(f1009,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f1011,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f1009,f383]) ).
fof(f1012,plain,
! [X0] : p3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f784,f1011]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[f874,f1012]) ).
fof(f1239,plain,
s4(d),
inference(resolution,[status(thm)],[f1234,f940]) ).
fof(f1242,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1239,f979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n006.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 10:45:47 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.44 % Elapsed time: 0.067188 seconds
% 0.13/5.44 % CPU time: 0.197466 seconds
% 0.13/5.44 % Total memory used: 70.257 MB
% 0.13/5.44 % Net memory used: 70.072 MB
%------------------------------------------------------------------------------