%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR068-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:13:22 PM UTC 2026
% Result : Unsatisfiable 1.33s 1.90s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq4(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq3(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5578,axiom,
! [INS] : ifeq4(furpelt(INS),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(INS,f_tptpquantityfn_1(n_328)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9644,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10447,axiom,
furpelt(c_theprototypicalfurpelt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44027,axiom,
! [SPECMT,GENLMT] : ifeq4(genlmt(SPECMT,GENLMT),true,ifeq4(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44036,negated_conjecture,
mtvisible(c_tptp_member2356_mt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44219,negated_conjecture,
ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44220,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44221,plain,
! [X0,X1,X2] : ifeq4(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44222,plain,
! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49798,plain,
! [X0] : ifeq4(furpelt(X0),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f5578]) ).
fof(f53864,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
inference(cnf_transformation,[status(thm)],[f9644]) ).
fof(f54667,plain,
furpelt(c_theprototypicalfurpelt) = true,
inference(cnf_transformation,[status(thm)],[f10447]) ).
fof(f88247,plain,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f44027]) ).
fof(f88256,plain,
mtvisible(c_tptp_member2356_mt) = true,
inference(cnf_transformation,[status(thm)],[f44036]) ).
fof(f88439,plain,
ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b) = b,
inference(cnf_transformation,[status(thm)],[f44219]) ).
fof(f88440,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f44220]) ).
fof(f88442,plain,
ifeq4(true,true,ifeq4(mtvisible(c_tptp_member2356_mt),true,mtvisible(c_tptp_spindleheadmt),true),true) = true,
inference(paramodulation,[status(thm)],[f53864,f88247]) ).
fof(f88449,plain,
ifeq4(true,true,ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true),true) = true,
inference(forward_demodulation,[status(thm)],[f88256,f88442]) ).
fof(f88464,plain,
ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true) = true,
inference(backward_demodulation,[status(thm)],[f44221,f88449]) ).
fof(f88468,plain,
mtvisible(c_tptp_spindleheadmt) = true,
inference(forward_demodulation,[status(thm)],[f44221,f88464]) ).
fof(f88469,plain,
! [X0] : ifeq4(furpelt(X0),true,ifeq4(true,true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(backward_demodulation,[status(thm)],[f88468,f49798]) ).
fof(f88473,plain,
! [X0] : ifeq4(furpelt(X0),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true) = true,
inference(forward_demodulation,[status(thm)],[f44221,f88469]) ).
fof(f88488,plain,
ifeq4(true,true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true) = true,
inference(paramodulation,[status(thm)],[f54667,f88473]) ).
fof(f88489,plain,
tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) = true,
inference(forward_demodulation,[status(thm)],[f44221,f88488]) ).
fof(f88490,plain,
ifeq3(true,true,a,b) = b,
inference(backward_demodulation,[status(thm)],[f88489,f88439]) ).
fof(f88493,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f44222,f88490]) ).
fof(f88494,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f88493,f88440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:43:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 1.15/1.50 % Drodi V4.1.1
% 1.33/1.90 % Refutation found
% 1.33/1.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.33/1.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.44/2.22 % Elapsed time: 1.810258 seconds
% 4.44/2.22 % CPU time: 4.671856 seconds
% 4.44/2.22 % Total memory used: 1.898 GB
% 4.44/2.22 % Net memory used: 1.889 GB
%------------------------------------------------------------------------------