%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% 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 01:06:47 PM UTC 2026
% Result : Unsatisfiable 19.90s 2.92s
% Output : CNFRefutation 19.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : ifeq(is_a_theorem(equivalent(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z,U,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z,U,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ifeq(is_a_theorem(equivalent(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)) = true,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))) = true,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) != true,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] : ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) = true,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] : ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f22]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) = true,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f27]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] : ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))),true) = true,
inference(paramodulation,[status(thm)],[f11,f24]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))) = true,
inference(forward_demodulation,[status(thm)],[f7,f55]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))),true) = true,
inference(paramodulation,[status(thm)],[f11,f29]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))) = true,
inference(forward_demodulation,[status(thm)],[f7,f128]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] : ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true) = true,
inference(paramodulation,[status(thm)],[f61,f8]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4] : ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true) = true,
inference(forward_demodulation,[status(thm)],[f7,f383]) ).
fof(f839,plain,
! [X0,X1,X2,X3,X4] : ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),true) = true,
inference(paramodulation,[status(thm)],[f136,f29]) ).
fof(f866,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)) = true,
inference(forward_demodulation,[status(thm)],[f7,f839]) ).
fof(f8020,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)),true) = true,
inference(paramodulation,[status(thm)],[f866,f405]) ).
fof(f8079,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)) = true,
inference(forward_demodulation,[status(thm)],[f7,f8020]) ).
fof(f8201,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f8079,f12]) ).
fof(f8277,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f8201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:04:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 19.90/2.92 % Refutation found
% 19.90/2.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.90/2.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.75/6.22 % Elapsed time: 5.639178 seconds
% 25.75/6.22 % CPU time: 20.156350 seconds
% 25.75/6.22 % Total memory used: 3.180 GB
% 25.75/6.22 % Net memory used: 3.174 GB
%------------------------------------------------------------------------------