%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP704-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:35:11 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(op_c,mult(A,B)) = mult(mult(op_c,A),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] : op_f = mult(A,mult(B,ld(mult(A,B),op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f620,plain,
! [X0] : mult(X0,ld(mult(unit,X0),op_c)) = op_f,
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f672,plain,
! [X0] : mult(X0,ld(X0,op_c)) = op_f,
inference(forward_demodulation,[status(thm)],[f20,f620]) ).
fof(f673,plain,
op_c = op_f,
inference(forward_demodulation,[status(thm)],[f15,f672]) ).
fof(f914,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_f,X0),X1),
inference(backward_demodulation,[status(thm)],[f673,f22]) ).
fof(f921,plain,
! [X0,X1] : mult(op_f,mult(X0,X1)) = mult(mult(op_f,X0),X1),
inference(forward_demodulation,[status(thm)],[f673,f914]) ).
fof(f922,plain,
$false,
inference(resolution,[status(thm)],[f921,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP704-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.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 20:34:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.038727 seconds
% 0.13/0.41 % CPU time: 0.102800 seconds
% 0.13/0.41 % Total memory used: 5.716 MB
% 0.13/0.41 % Net memory used: 5.592 MB
%------------------------------------------------------------------------------