%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% 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 12:35:04 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
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(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
mult(op_c,mult(x0,x1)) != mult(x0,mult(x1,op_c)),
inference(forward_demodulation,[status(thm)],[f19,f20]) ).
fof(f27,plain,
mult(op_c,mult(x0,x1)) != mult(x0,mult(op_c,x1)),
inference(forward_demodulation,[status(thm)],[f19,f26]) ).
fof(f70,plain,
! [X0] : rd(mult(X0,op_c),X0) = op_c,
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f109,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f70,f17]) ).
fof(f128,plain,
mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
inference(backward_demodulation,[status(thm)],[f109,f27]) ).
fof(f148,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:32:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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
% 0.09/0.40 % Elapsed time: 0.028946 seconds
% 0.09/0.40 % CPU time: 0.046092 seconds
% 0.09/0.40 % Total memory used: 1.775 MB
% 0.09/0.40 % Net memory used: 1.726 MB
%------------------------------------------------------------------------------