%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL186-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:07:02 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 31 unt; 5 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(or(not(A),or(B,A))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Y,Z,X] : ifeq(theorem(or(not(Y),Z)),true,ifeq(axiom(or(not(X),Y)),true,theorem(or(not(X),Z)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
theorem(or(not(not(p)),or(not(p),q))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1,X2] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
theorem(or(not(not(p)),or(not(p),q))) != true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF3_fnc = not(p),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f22,definition,
sF2_fnc = not(sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f23,definition,
sF4_fnc = or(sF3_fnc,q),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f24,definition,
sF1_fnc = or(sF2_fnc,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f25,definition,
sF0_fnc = theorem(sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f26,plain,
sF0_fnc != true,
inference(definition_folding,[],[f20,f25,f24,f23,f22,f21]) ).
fof(f43,plain,
! [X0,X1] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(sF2_fnc,X0)),true,theorem(or(not(sF3_fnc),X1)),true),true) = true,
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f47,plain,
! [X0,X1] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(sF2_fnc,X0)),true,theorem(or(sF2_fnc,X1)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f22,f43]) ).
fof(f72,plain,
! [X0] : axiom(or(sF2_fnc,or(X0,sF3_fnc))) = true,
inference(paramodulation,[status(thm)],[f22,f13]) ).
fof(f196,plain,
axiom(or(not(or(q,sF3_fnc)),sF4_fnc)) = true,
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f253,plain,
ifeq(true,true,theorem(or(not(or(q,sF3_fnc)),sF4_fnc)),true) = true,
inference(paramodulation,[status(thm)],[f196,f17]) ).
fof(f256,plain,
theorem(or(not(or(q,sF3_fnc)),sF4_fnc)) = true,
inference(forward_demodulation,[status(thm)],[f11,f253]) ).
fof(f427,plain,
ifeq(true,true,ifeq(axiom(or(sF2_fnc,or(q,sF3_fnc))),true,theorem(or(sF2_fnc,sF4_fnc)),true),true) = true,
inference(paramodulation,[status(thm)],[f256,f47]) ).
fof(f443,plain,
ifeq(axiom(or(sF2_fnc,or(q,sF3_fnc))),true,theorem(or(sF2_fnc,sF4_fnc)),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f427]) ).
fof(f444,plain,
ifeq(true,true,theorem(or(sF2_fnc,sF4_fnc)),true) = true,
inference(forward_demodulation,[status(thm)],[f72,f443]) ).
fof(f445,plain,
theorem(or(sF2_fnc,sF4_fnc)) = true,
inference(forward_demodulation,[status(thm)],[f11,f444]) ).
fof(f446,plain,
theorem(sF1_fnc) = true,
inference(forward_demodulation,[status(thm)],[f24,f445]) ).
fof(f447,plain,
sF0_fnc = true,
inference(forward_demodulation,[status(thm)],[f25,f446]) ).
fof(f448,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f447,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL186-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 00:09:37 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.27/1.58 % Elapsed time: 1.019272 seconds
% 1.27/1.58 % CPU time: 0.040414 seconds
% 1.27/1.58 % Total memory used: 2.921 MB
% 1.27/1.58 % Net memory used: 2.904 MB
%------------------------------------------------------------------------------