%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:08:36 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 64 unt; 1 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X1,X2] : response(response(kestrel,X1),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X1,X2] : response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2] : response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1,X2] : response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : response(response(kestrel,X0),X1) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
response(l2,l2) != l2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
response(lark,lark) = l2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
response(l2,lark) = l3,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
response(l3,l3) = l3,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,definition,
sF0_fnc = response(l2,l2),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f18,plain,
sF0_fnc != l2,
inference(definition_folding,[],[f13,f17]) ).
fof(f20,plain,
! [X0] : response(l2,X0) = response(lark,response(X0,X0)),
inference(paramodulation,[status(thm)],[f14,f10]) ).
fof(f22,plain,
! [X0,X1] : response(response(lark,response(kestrel,X0)),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f31,plain,
response(l2,lark) = response(lark,l2),
inference(paramodulation,[status(thm)],[f14,f20]) ).
fof(f33,plain,
response(l2,l3) = response(lark,l3),
inference(paramodulation,[status(thm)],[f16,f20]) ).
fof(f37,plain,
l3 = response(lark,l2),
inference(forward_demodulation,[status(thm)],[f15,f31]) ).
fof(f40,plain,
! [X0] : response(l3,X0) = response(l2,response(X0,X0)),
inference(paramodulation,[status(thm)],[f37,f10]) ).
fof(f42,plain,
! [X0] : response(response(l2,l3),X0) = response(l3,response(X0,X0)),
inference(paramodulation,[status(thm)],[f33,f10]) ).
fof(f44,plain,
! [X0] : response(l3,response(kestrel,X0)) = response(l2,X0),
inference(paramodulation,[status(thm)],[f9,f40]) ).
fof(f45,plain,
response(l3,lark) = response(l2,l2),
inference(paramodulation,[status(thm)],[f14,f40]) ).
fof(f47,plain,
response(l3,l3) = response(l2,l3),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f50,plain,
response(l3,lark) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f17,f45]) ).
fof(f51,plain,
l3 = response(l2,l3),
inference(forward_demodulation,[status(thm)],[f16,f47]) ).
fof(f69,plain,
! [X0] : response(l3,X0) = response(l3,response(X0,X0)),
inference(forward_demodulation,[status(thm)],[f51,f42]) ).
fof(f73,plain,
response(l3,lark) = response(l3,l2),
inference(paramodulation,[status(thm)],[f14,f69]) ).
fof(f74,plain,
response(l3,l2) = response(l3,sF0_fnc),
inference(paramodulation,[status(thm)],[f17,f69]) ).
fof(f78,plain,
sF0_fnc = response(l3,l2),
inference(forward_demodulation,[status(thm)],[f50,f73]) ).
fof(f82,plain,
sF0_fnc = response(l3,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f78,f74]) ).
fof(f85,plain,
! [X0] : response(response(l2,kestrel),X0) = kestrel,
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f106,plain,
response(l3,kestrel) = response(l2,kestrel),
inference(paramodulation,[status(thm)],[f69,f44]) ).
fof(f111,plain,
! [X0] : response(response(l3,kestrel),X0) = kestrel,
inference(backward_demodulation,[status(thm)],[f106,f85]) ).
fof(f184,plain,
! [X0,X1] : response(response(l2,X0),X1) = response(response(X0,X0),response(X1,X1)),
inference(forward_demodulation,[status(thm)],[f14,f11]) ).
fof(f228,plain,
! [X0,X1] : response(response(response(l2,lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(forward_demodulation,[status(thm)],[f14,f12]) ).
fof(f229,plain,
! [X0,X1] : response(response(l3,X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(forward_demodulation,[status(thm)],[f15,f228]) ).
fof(f230,plain,
! [X0,X1] : response(response(l3,X0),X1) = response(response(l2,response(X0,X0)),x2),
inference(forward_demodulation,[status(thm)],[f184,f229]) ).
fof(f231,plain,
! [X0,X1] : response(response(l3,X0),X1) = response(response(l3,X0),x2),
inference(forward_demodulation,[status(thm)],[f40,f230]) ).
fof(f234,plain,
! [X0] : response(response(l2,l3),X0) = response(response(l3,l3),x2),
inference(paramodulation,[status(thm)],[f184,f231]) ).
fof(f264,plain,
! [X0] : response(l3,X0) = response(response(l3,l3),x2),
inference(forward_demodulation,[status(thm)],[f51,f234]) ).
fof(f265,plain,
! [X0] : response(l3,X0) = response(l3,x2),
inference(forward_demodulation,[status(thm)],[f16,f264]) ).
fof(f293,plain,
sF0_fnc = response(l3,x2),
inference(paramodulation,[status(thm)],[f82,f265]) ).
fof(f325,plain,
! [X0] : response(l3,X0) = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f293,f265]) ).
fof(f363,plain,
! [X0] : response(sF0_fnc,X0) = kestrel,
inference(backward_demodulation,[status(thm)],[f325,f111]) ).
fof(f368,plain,
! [X0] : sF0_fnc = response(l2,X0),
inference(backward_demodulation,[status(thm)],[f325,f44]) ).
fof(f372,plain,
sF0_fnc = l3,
inference(backward_demodulation,[status(thm)],[f325,f16]) ).
fof(f387,plain,
! [X0] : response(l3,X0) = l3,
inference(backward_demodulation,[status(thm)],[f372,f325]) ).
fof(f395,plain,
l3 != l2,
inference(backward_demodulation,[status(thm)],[f372,f18]) ).
fof(f401,plain,
! [X0] : response(l3,X0) = kestrel,
inference(forward_demodulation,[status(thm)],[f372,f363]) ).
fof(f417,plain,
! [X0] : l3 = response(l2,X0),
inference(forward_demodulation,[status(thm)],[f372,f368]) ).
fof(f418,plain,
! [X0] : l3 = response(response(lark,l2),X0),
inference(paramodulation,[status(thm)],[f10,f417]) ).
fof(f421,plain,
! [X0] : l3 = response(l3,X0),
inference(forward_demodulation,[status(thm)],[f37,f418]) ).
fof(f422,plain,
l3 = kestrel,
inference(forward_demodulation,[status(thm)],[f401,f421]) ).
fof(f427,plain,
kestrel != l2,
inference(backward_demodulation,[status(thm)],[f422,f395]) ).
fof(f432,plain,
! [X0] : response(kestrel,X0) = l3,
inference(forward_demodulation,[status(thm)],[f422,f387]) ).
fof(f434,plain,
! [X0,X1] : response(kestrel,X0) = X1,
inference(backward_demodulation,[status(thm)],[f435,f9]) ).
fof(f435,plain,
! [X0] : response(kestrel,X0) = kestrel,
inference(forward_demodulation,[status(thm)],[f422,f432]) ).
fof(f438,plain,
! [X0] : kestrel = X0,
inference(forward_demodulation,[status(thm)],[f435,f434]) ).
fof(f440,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f427,f438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 14:08:08 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.36 % Refutation found
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.035988 seconds
% 0.13/0.39 % CPU time: 0.035986 seconds
% 0.13/0.39 % Total memory used: 1.591 MB
% 0.13/0.39 % Net memory used: 1.517 MB
%------------------------------------------------------------------------------