%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL203-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:07:07 PM UTC 2026
% Result : Unsatisfiable 61.28s 8.27s
% Output : CNFRefutation 61.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : axiom(implies(or(A,A),A)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(A,or(B,A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Y,X] : ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
theorem(implies(not(or(p,q)),or(not(p),not(q)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
theorem(implies(not(or(p,q)),or(not(p),not(q)))) != true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
theorem(implies(not(or(p,q)),implies(p,not(q)))) != true,
inference(backward_demodulation,[status(thm)],[f17,f20]) ).
fof(f31,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))) = true,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f32,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f17,f31]) ).
fof(f38,plain,
! [X0,X1] : axiom(implies(implies(X0,X1),or(X1,not(X0)))) = true,
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f41,plain,
! [X0] : ifeq(true,true,theorem(implies(or(X0,X0),X0)),true) = true,
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f42,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),true) = true,
inference(paramodulation,[status(thm)],[f32,f18]) ).
fof(f45,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(X0,or(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f13,f18]) ).
fof(f46,plain,
! [X0] : theorem(implies(or(X0,X0),X0)) = true,
inference(forward_demodulation,[status(thm)],[f11,f41]) ).
fof(f47,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f45]) ).
fof(f50,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f42]) ).
fof(f62,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(implies(X0,X1),or(X1,not(X0)))),true) = true,
inference(paramodulation,[status(thm)],[f38,f18]) ).
fof(f63,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f62]) ).
fof(f88,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true),true) = true,
inference(paramodulation,[status(thm)],[f50,f19]) ).
fof(f89,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(or(X1,not(X0))),true),true) = true,
inference(paramodulation,[status(thm)],[f63,f19]) ).
fof(f90,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(X0),true,theorem(or(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f47,f19]) ).
fof(f98,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f47,f19]) ).
fof(f109,plain,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,theorem(or(X1,not(X0))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f89]) ).
fof(f110,plain,
! [X0,X1] : ifeq(theorem(X0),true,theorem(or(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f90]) ).
fof(f112,plain,
! [X0,X1,X2] : ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f88]) ).
fof(f121,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f98]) ).
fof(f515,plain,
! [X0,X1,X2] : axiom(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))) = true,
inference(paramodulation,[status(thm)],[f17,f15]) ).
fof(f522,plain,
! [X0,X1,X2] : axiom(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f17,f515]) ).
fof(f634,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f522,f18]) ).
fof(f635,plain,
! [X0,X1,X2] : theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f634]) ).
fof(f1064,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(or(X0,implies(X1,X2))),true,theorem(implies(X1,or(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f635,f19]) ).
fof(f1078,plain,
! [X0,X1,X2] : ifeq(theorem(or(X0,implies(X1,X2))),true,theorem(implies(X1,or(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f1064]) ).
fof(f1230,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),true) = true,
inference(paramodulation,[status(thm)],[f46,f112]) ).
fof(f1277,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))) = true,
inference(forward_demodulation,[status(thm)],[f11,f1230]) ).
fof(f3080,plain,
! [X0] : ifeq(true,true,theorem(implies(X0,X0)),true) = true,
inference(paramodulation,[status(thm)],[f1277,f121]) ).
fof(f3209,plain,
! [X0] : theorem(implies(X0,X0)) = true,
inference(forward_demodulation,[status(thm)],[f11,f3080]) ).
fof(f3321,plain,
! [X0] : ifeq(true,true,theorem(or(X0,not(X0))),true) = true,
inference(paramodulation,[status(thm)],[f3209,f109]) ).
fof(f3344,plain,
! [X0] : theorem(or(X0,not(X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f3321]) ).
fof(f3362,plain,
! [X0] : theorem(implies(X0,not(not(X0)))) = true,
inference(paramodulation,[status(thm)],[f17,f3344]) ).
fof(f3403,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),true) = true,
inference(paramodulation,[status(thm)],[f3362,f112]) ).
fof(f3433,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))) = true,
inference(forward_demodulation,[status(thm)],[f11,f3403]) ).
fof(f32502,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(X0,not(not(or(X1,X0))))),true) = true,
inference(paramodulation,[status(thm)],[f3433,f121]) ).
fof(f32546,plain,
! [X0,X1] : theorem(implies(X0,not(not(or(X1,X0))))) = true,
inference(forward_demodulation,[status(thm)],[f11,f32502]) ).
fof(f32883,plain,
! [X0,X1] : ifeq(true,true,theorem(or(not(not(or(X0,X1))),not(X1))),true) = true,
inference(paramodulation,[status(thm)],[f32546,f109]) ).
fof(f32920,plain,
! [X0,X1] : theorem(or(not(not(or(X0,X1))),not(X1))) = true,
inference(forward_demodulation,[status(thm)],[f11,f32883]) ).
fof(f32921,plain,
! [X0,X1] : theorem(implies(not(or(X0,X1)),not(X1))) = true,
inference(forward_demodulation,[status(thm)],[f17,f32920]) ).
fof(f32959,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(X0,implies(not(or(X1,X2)),not(X2)))),true) = true,
inference(paramodulation,[status(thm)],[f32921,f110]) ).
fof(f32968,plain,
! [X0,X1,X2] : theorem(or(X0,implies(not(or(X1,X2)),not(X2)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f32959]) ).
fof(f43123,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(not(or(X0,X1)),or(X2,not(X1)))),true) = true,
inference(paramodulation,[status(thm)],[f32968,f1078]) ).
fof(f43159,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),or(X2,not(X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f43123]) ).
fof(f47148,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),implies(X2,not(X1)))) = true,
inference(paramodulation,[status(thm)],[f17,f43159]) ).
fof(f47208,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f47148,f29]) ).
fof(f47209,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f47208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL203-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.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 00:10:51 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 61.28/8.27 % Refutation found
% 61.28/8.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 61.28/8.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.55/8.85 % Elapsed time: 8.497968 seconds
% 4.55/8.85 % CPU time: 64.541381 seconds
% 4.55/8.85 % Total memory used: 647.511 MB
% 4.55/8.85 % Net memory used: 603.931 MB
%------------------------------------------------------------------------------