%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A] : mult(A,unit) = 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,B] : mult(i(A),mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
mult(i(op_c),a) != mult(a,i(op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
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,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(i(op_c),a) != mult(a,i(op_c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),X1),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f28,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f46,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f18,f25]) ).
fof(f148,plain,
! [X0] : unit = mult(i(X0),X0),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f312,plain,
! [X0] : mult(op_c,mult(i(op_c),mult(X0,i(op_c)))) = mult(i(op_c),mult(X0,unit)),
inference(paramodulation,[status(thm)],[f148,f28]) ).
fof(f322,plain,
! [X0] : mult(X0,i(op_c)) = mult(i(op_c),mult(X0,unit)),
inference(forward_demodulation,[status(thm)],[f46,f312]) ).
fof(f323,plain,
! [X0] : mult(X0,i(op_c)) = mult(i(op_c),X0),
inference(forward_demodulation,[status(thm)],[f15,f322]) ).
fof(f324,plain,
$false,
inference(resolution,[status(thm)],[f323,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:33:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.025984 seconds
% 0.12/0.38 % CPU time: 0.072747 seconds
% 0.12/0.38 % Total memory used: 3.558 MB
% 0.12/0.38 % Net memory used: 3.524 MB
%------------------------------------------------------------------------------