%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN194-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 16 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 45 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
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(f52,axiom,
! [E,F,G] :
( ~ m0(F,G,E)
| m1(E,E,E) ),
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(f188,axiom,
! [F,G] :
( ~ m1(G,G,F)
| p2(F,F,F) ),
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(c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
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(f430,plain,
! [E] :
( ! [F,G] : ~ m0(F,G,E)
| m1(E,E,E) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f431,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| m1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f430]) ).
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(f646,plain,
! [F] :
( ! [G] : ~ m1(G,G,F)
| p2(F,F,F) ),
inference(miniscoping,[status(thm)],[f188]) ).
fof(f647,plain,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
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(c,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0,X1] :
( ~ n3(X1)
| ~ s4(X0)
| r5(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f918,f401]) ).
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(f967,plain,
! [X0] : p3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f784,f964]) ).
fof(f1001,plain,
! [X0,X1] :
( n3(X1)
| ~ m1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f647,f779]) ).
fof(f1013,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| n3(X0) ),
inference(resolution,[status(thm)],[f1001,f431]) ).
fof(f1032,plain,
! [X0] : n3(X0),
inference(resolution,[status(thm)],[f1013,f388]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ s4(X0)
| r5(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f925,f1032]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[f874,f967]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| s4(X0) ),
inference(resolution,[status(thm)],[f1054,f411]) ).
fof(f1063,plain,
s4(c),
inference(resolution,[status(thm)],[f1056,f395]) ).
fof(f1085,plain,
! [X0] : r5(c,X0),
inference(resolution,[status(thm)],[f1063,f1033]) ).
fof(f1087,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f1085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN194-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:46:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % 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: 0.074065 seconds
% 0.13/0.43 % CPU time: 0.227260 seconds
% 0.13/0.43 % Total memory used: 67.982 MB
% 0.13/0.43 % Net memory used: 67.813 MB
%------------------------------------------------------------------------------