%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:35:05 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 22 unt; 4 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,mult(A,B))) = mult(mult(mult(A,mult(B,C)),A),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(mult(a,b),a) != mult(a,mult(b,a)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF1_fnc = mult(a,b),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f22,definition,
sF0_fnc = mult(sF1_fnc,a),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f23,definition,
sF3_fnc = mult(b,a),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f24,definition,
sF2_fnc = mult(a,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f25,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f31,plain,
! [X0] : mult(mult(X0,a),mult(b,mult(X0,a))) = mult(mult(mult(X0,sF1_fnc),X0),a),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f689,plain,
mult(mult(unit,a),mult(b,a)) = mult(mult(mult(unit,sF1_fnc),unit),a),
inference(paramodulation,[status(thm)],[f16,f31]) ).
fof(f712,plain,
mult(a,mult(b,a)) = mult(mult(mult(unit,sF1_fnc),unit),a),
inference(forward_demodulation,[status(thm)],[f16,f689]) ).
fof(f713,plain,
mult(a,sF3_fnc) = mult(mult(mult(unit,sF1_fnc),unit),a),
inference(forward_demodulation,[status(thm)],[f23,f712]) ).
fof(f714,plain,
sF2_fnc = mult(mult(mult(unit,sF1_fnc),unit),a),
inference(forward_demodulation,[status(thm)],[f24,f713]) ).
fof(f715,plain,
sF2_fnc = mult(mult(unit,sF1_fnc),a),
inference(forward_demodulation,[status(thm)],[f15,f714]) ).
fof(f716,plain,
sF2_fnc = mult(sF1_fnc,a),
inference(forward_demodulation,[status(thm)],[f16,f715]) ).
fof(f717,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f22,f716]) ).
fof(f718,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f717,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:31:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.46/1.61 % Elapsed time: 1.040107 seconds
% 1.46/1.61 % CPU time: 0.133525 seconds
% 1.46/1.61 % Total memory used: 5.328 MB
% 1.46/1.61 % Net memory used: 5.275 MB
%------------------------------------------------------------------------------