%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL211-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:07:09 PM UTC 2026
% Result : Unsatisfiable 120.29s 15.62s
% Output : CNFRefutation 87.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 10
% Syntax : Number of formulae : 89 ( 89 unt; 0 def)
% Number of atoms : 89 ( 88 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 201 ( 201 !; 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(q),implies(or(p,q),p))) != 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(q),implies(or(p,q),p))) != true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f32,plain,
! [X0] : ifeq(true,true,theorem(implies(or(X0,X0),X0)),true) = true,
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f34,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(X0,or(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f13,f18]) ).
fof(f35,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f31]) ).
fof(f36,plain,
! [X0] : theorem(implies(or(X0,X0),X0)) = true,
inference(forward_demodulation,[status(thm)],[f11,f32]) ).
fof(f38,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f34]) ).
fof(f47,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))) = true,
inference(paramodulation,[status(thm)],[f17,f35]) ).
fof(f51,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))) = true,
inference(paramodulation,[status(thm)],[f17,f15]) ).
fof(f55,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f56,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f17,f51]) ).
fof(f60,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f55]) ).
fof(f71,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))) = true,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f73,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true) = true,
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f74,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f17,f71]) ).
fof(f76,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f73]) ).
fof(f88,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f35,f19]) ).
fof(f89,plain,
! [X0] : ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f36,f19]) ).
fof(f90,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(X0),true,theorem(or(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f38,f19]) ).
fof(f95,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f35,f19]) ).
fof(f97,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)],[f38,f19]) ).
fof(f109,plain,
! [X0,X1] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f88]) ).
fof(f110,plain,
! [X0] : ifeq(theorem(or(X0,X0)),true,theorem(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f89]) ).
fof(f111,plain,
! [X0,X1] : ifeq(theorem(X0),true,theorem(or(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f90]) ).
fof(f116,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f95]) ).
fof(f118,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f97]) ).
fof(f250,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))) = true,
inference(paramodulation,[status(thm)],[f17,f56]) ).
fof(f253,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f17,f250]) ).
fof(f598,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f60,f19]) ).
fof(f610,plain,
! [X0,X1,X2] : ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f598]) ).
fof(f618,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)],[f74,f18]) ).
fof(f619,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f618]) ).
fof(f644,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true),true) = true,
inference(paramodulation,[status(thm)],[f76,f19]) ).
fof(f654,plain,
! [X0,X1,X2] : ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f644]) ).
fof(f1373,plain,
! [X0,X1] : ifeq(true,true,theorem(or(or(X0,X1),not(X1))),true) = true,
inference(paramodulation,[status(thm)],[f47,f118]) ).
fof(f1437,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))) = true,
inference(forward_demodulation,[status(thm)],[f11,f1373]) ).
fof(f1468,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(X0,or(or(X1,X2),not(X2)))),true) = true,
inference(paramodulation,[status(thm)],[f1437,f111]) ).
fof(f1476,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f1468]) ).
fof(f2234,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f253,f18]) ).
fof(f2235,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f2234]) ).
fof(f4900,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(or(X0,X1),or(X2,not(X1)))),true) = true,
inference(paramodulation,[status(thm)],[f1476,f610]) ).
fof(f4976,plain,
! [X0,X1,X2] : theorem(or(or(X0,X1),or(X2,not(X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f4900]) ).
fof(f5090,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(or(X0,not(X1)),or(X2,X1))),true) = true,
inference(paramodulation,[status(thm)],[f4976,f109]) ).
fof(f5105,plain,
! [X0,X1,X2] : theorem(or(or(X0,not(X1)),or(X2,X1))) = true,
inference(forward_demodulation,[status(thm)],[f11,f5090]) ).
fof(f5603,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(X0,or(or(X1,not(X2)),X2))),true) = true,
inference(paramodulation,[status(thm)],[f5105,f610]) ).
fof(f5620,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,not(X2)),X2))) = true,
inference(forward_demodulation,[status(thm)],[f11,f5603]) ).
fof(f5857,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))),true) = true,
inference(paramodulation,[status(thm)],[f619,f116]) ).
fof(f5884,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f5857]) ).
fof(f6027,plain,
! [X0,X1] : ifeq(true,true,theorem(or(or(X0,not(X1)),X1)),true) = true,
inference(paramodulation,[status(thm)],[f5620,f110]) ).
fof(f6043,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) = true,
inference(forward_demodulation,[status(thm)],[f11,f6027]) ).
fof(f6117,plain,
! [X0,X1] : ifeq(true,true,theorem(or(X0,or(X1,not(X0)))),true) = true,
inference(paramodulation,[status(thm)],[f6043,f109]) ).
fof(f6133,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f6117]) ).
fof(f6281,plain,
! [X0,X1] : ifeq(true,true,theorem(or(X0,or(X1,not(X1)))),true) = true,
inference(paramodulation,[status(thm)],[f6133,f610]) ).
fof(f6298,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) = true,
inference(forward_demodulation,[status(thm)],[f11,f6281]) ).
fof(f6455,plain,
! [X0] : ifeq(true,true,theorem(or(X0,not(X0))),true) = true,
inference(paramodulation,[status(thm)],[f6298,f110]) ).
fof(f6471,plain,
! [X0] : theorem(or(X0,not(X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f6455]) ).
fof(f6498,plain,
! [X0] : theorem(implies(X0,not(not(X0)))) = true,
inference(paramodulation,[status(thm)],[f17,f6471]) ).
fof(f6766,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(or(X0,X1),or(X0,not(not(X1))))),true) = true,
inference(paramodulation,[status(thm)],[f6498,f654]) ).
fof(f6848,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X0,not(not(X1))))) = true,
inference(forward_demodulation,[status(thm)],[f11,f6766]) ).
fof(f21041,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,implies(X1,X2))),true,theorem(implies(X1,implies(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f2235,f19]) ).
fof(f21066,plain,
! [X0,X1,X2] : ifeq(theorem(implies(X0,implies(X1,X2))),true,theorem(implies(X1,implies(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f21041]) ).
fof(f34429,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(implies(X0,or(X2,X1))),true),true) = true,
inference(paramodulation,[status(thm)],[f5884,f19]) ).
fof(f34460,plain,
! [X0,X1,X2] : ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(implies(X0,or(X2,X1))),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f34429]) ).
fof(f356547,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(or(X0,X1),or(not(not(X1)),X0))),true) = true,
inference(paramodulation,[status(thm)],[f6848,f34460]) ).
fof(f357152,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(not(not(X1)),X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f356547]) ).
fof(f357153,plain,
! [X0,X1] : theorem(implies(or(X0,X1),implies(not(X1),X0))) = true,
inference(forward_demodulation,[status(thm)],[f17,f357152]) ).
fof(f358742,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(not(X0),implies(or(X1,X0),X1))),true) = true,
inference(paramodulation,[status(thm)],[f357153,f21066]) ).
fof(f358819,plain,
! [X0,X1] : theorem(implies(not(X0),implies(or(X1,X0),X1))) = true,
inference(forward_demodulation,[status(thm)],[f11,f358742]) ).
fof(f360495,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f358819,f20]) ).
fof(f360732,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f360495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL211-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 00:11:34 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 120.29/15.62 % Refutation found
% 120.29/15.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 120.29/15.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.99/16.01 % Elapsed time: 15.642383 seconds
% 7.99/16.01 % CPU time: 122.410705 seconds
% 7.99/16.01 % Total memory used: 906.569 MB
% 7.99/16.01 % Net memory used: 857.735 MB
%------------------------------------------------------------------------------