%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP679-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 12:35:06 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 3 def)
% Number of atoms : 29 ( 28 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f7,axiom,
! [A,B,C] : mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,definition,
sF1_fnc = mult(op_c,op_c),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f20,definition,
sF0_fnc = mult(sF1_fnc,a),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f21,definition,
sF2_fnc = mult(a,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f22,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f18,f21,f20,f19]) ).
fof(f25,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f32,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f54,plain,
! [X0] : mult(op_c,mult(X0,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_c,X0))),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f67,plain,
! [X0] : mult(op_c,mult(X0,sF1_fnc)) = mult(op_c,mult(op_c,mult(op_c,X0))),
inference(forward_demodulation,[status(thm)],[f19,f54]) ).
fof(f887,plain,
! [X0] : ld(op_c,mult(op_c,mult(X0,sF1_fnc))) = mult(op_c,mult(op_c,X0)),
inference(paramodulation,[status(thm)],[f67,f11]) ).
fof(f900,plain,
! [X0] : mult(X0,sF1_fnc) = mult(op_c,mult(op_c,X0)),
inference(forward_demodulation,[status(thm)],[f11,f887]) ).
fof(f980,plain,
! [X0] : mult(op_c,mult(unit,mult(op_c,X0))) = mult(mult(op_c,op_c),X0),
inference(paramodulation,[status(thm)],[f14,f32]) ).
fof(f1034,plain,
! [X0] : mult(op_c,mult(op_c,X0)) = mult(mult(op_c,op_c),X0),
inference(forward_demodulation,[status(thm)],[f15,f980]) ).
fof(f1035,plain,
! [X0] : mult(op_c,mult(op_c,X0)) = mult(sF1_fnc,X0),
inference(forward_demodulation,[status(thm)],[f19,f1034]) ).
fof(f1220,plain,
! [X0] : mult(X0,sF1_fnc) = mult(sF1_fnc,X0),
inference(forward_demodulation,[status(thm)],[f900,f1035]) ).
fof(f1229,plain,
mult(a,sF1_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f20,f1220]) ).
fof(f1259,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f21,f1229]) ).
fof(f1260,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1259,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP679-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n017.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:27:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.56/1.64 % Elapsed time: 1.067928 seconds
% 1.56/1.64 % CPU time: 0.272246 seconds
% 1.56/1.64 % Total memory used: 7.021 MB
% 1.56/1.64 % Net memory used: 6.868 MB
%------------------------------------------------------------------------------