%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:35:12 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.42s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,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(f18,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f19]) ).
fof(f28,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(X0,mult(op_c,X1)),
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f30,plain,
! [X0,X1] : mult(X0,mult(mult(X1,op_c),op_c)) = mult(op_c,mult(op_c,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f27,f27]) ).
fof(f31,plain,
! [X0] : mult(X0,mult(op_c,op_c)) = mult(op_c,mult(op_c,X0)),
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f41,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)],[f18,f17]) ).
fof(f150,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f160,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f16,f150]) ).
fof(f805,plain,
! [X0,X1] : mult(X0,mult(op_c,mult(X1,op_c))) = mult(op_c,mult(op_c,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f30]) ).
fof(f1908,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
inference(backward_demodulation,[status(thm)],[f160,f20]) ).
fof(f1980,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(mult(op_c,mult(op_c,a)),b),
inference(forward_demodulation,[status(thm)],[f160,f1908]) ).
fof(f1981,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f41,f1980]) ).
fof(f2745,plain,
mult(a,mult(op_c,mult(b,op_c))) != mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f805,f1981]) ).
fof(f2746,plain,
mult(a,mult(b,mult(op_c,op_c))) != mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f28,f2745]) ).
fof(f2747,plain,
mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(op_c,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f28,f2746]) ).
fof(f2748,plain,
mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c))),
inference(forward_demodulation,[status(thm)],[f31,f2747]) ).
fof(f2749,plain,
$false,
inference(equality_resolution,[status(thm)],[f2748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:36:16 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.42 % Refutation found
% 0.02/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.64/1.64 % Elapsed time: 1.056588 seconds
% 1.64/1.64 % CPU time: 0.402692 seconds
% 1.64/1.64 % Total memory used: 14.104 MB
% 1.64/1.64 % Net memory used: 13.780 MB
%------------------------------------------------------------------------------