%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:32:12 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.57s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 25 unt; 1 def)
% Number of atoms : 25 ( 24 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X] : multiply(X,X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0] : multiply(X0,X0) = identity,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
multiply(b,a) != c,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,definition,
sF0_fnc = multiply(b,a),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f18,plain,
sF0_fnc != c,
inference(definition_folding,[],[f16,f17]) ).
fof(f20,plain,
! [X0] : multiply(c,X0) = multiply(a,multiply(b,X0)),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f37,plain,
multiply(c,a) = multiply(a,sF0_fnc),
inference(paramodulation,[status(thm)],[f17,f20]) ).
fof(f75,plain,
multiply(c,b) = multiply(a,identity),
inference(paramodulation,[status(thm)],[f14,f20]) ).
fof(f78,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f81,plain,
multiply(c,b) = a,
inference(forward_demodulation,[status(thm)],[f12,f75]) ).
fof(f83,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f9,f78]) ).
fof(f89,plain,
b = multiply(c,a),
inference(paramodulation,[status(thm)],[f81,f83]) ).
fof(f111,plain,
b = multiply(a,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f37,f89]) ).
fof(f235,plain,
sF0_fnc = multiply(a,b),
inference(paramodulation,[status(thm)],[f111,f83]) ).
fof(f242,plain,
sF0_fnc = c,
inference(forward_demodulation,[status(thm)],[f15,f235]) ).
fof(f243,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f242,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n017.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Sun Sep 20 19:47:41 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.10/0.57 % Refutation found
% 0.10/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.59 % Elapsed time: 0.029066 seconds
% 0.10/0.59 % CPU time: 0.041913 seconds
% 0.10/0.59 % Total memory used: 967.232 KB
% 0.10/0.59 % Net memory used: 930.656 KB
%------------------------------------------------------------------------------