%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:32:54 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 22 unt; 1 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
greatest_lower_bound(b,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
greatest_lower_bound(a,c) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
greatest_lower_bound(a,b) = a,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f35,plain,
greatest_lower_bound(b,c) = b,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
greatest_lower_bound(a,c) != a,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f37,definition,
sF0_fnc = greatest_lower_bound(a,c),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f38,plain,
sF0_fnc != a,
inference(definition_folding,[],[f36,f37]) ).
fof(f39,plain,
sF0_fnc = greatest_lower_bound(c,a),
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f47,plain,
greatest_lower_bound(c,b) = b,
inference(paramodulation,[status(thm)],[f22,f35]) ).
fof(f57,plain,
! [X0] : greatest_lower_bound(c,greatest_lower_bound(a,X0)) = greatest_lower_bound(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f39,f24]) ).
fof(f58,plain,
! [X0] : greatest_lower_bound(a,greatest_lower_bound(c,X0)) = greatest_lower_bound(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f37,f24]) ).
fof(f357,plain,
greatest_lower_bound(c,a) = greatest_lower_bound(sF0_fnc,b),
inference(paramodulation,[status(thm)],[f34,f57]) ).
fof(f374,plain,
sF0_fnc = greatest_lower_bound(sF0_fnc,b),
inference(forward_demodulation,[status(thm)],[f39,f357]) ).
fof(f411,plain,
greatest_lower_bound(a,b) = greatest_lower_bound(sF0_fnc,b),
inference(paramodulation,[status(thm)],[f47,f58]) ).
fof(f429,plain,
a = greatest_lower_bound(sF0_fnc,b),
inference(forward_demodulation,[status(thm)],[f34,f411]) ).
fof(f430,plain,
a = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f374,f429]) ).
fof(f431,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f430,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n005.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 20:02:38 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.029319 seconds
% 0.14/5.42 % CPU time: 0.060157 seconds
% 0.14/5.42 % Total memory used: 2.299 MB
% 0.14/5.42 % Net memory used: 2.275 MB
%------------------------------------------------------------------------------