%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:35:10 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
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(f10,axiom,
! [A,B] : mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] : op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(x2,mult(op_e,x3)) != mult(mult(x2,op_e),x3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
mult(x2,mult(op_e,x3)) != mult(mult(x2,op_e),x3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f169,plain,
! [X0] : op_e = mult(rd(op_c,mult(unit,X0)),X0),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f186,plain,
! [X0] : op_e = mult(rd(op_c,X0),X0),
inference(forward_demodulation,[status(thm)],[f20,f169]) ).
fof(f209,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_e),X1),
inference(backward_demodulation,[status(thm)],[f212,f24]) ).
fof(f212,plain,
op_e = op_c,
inference(forward_demodulation,[status(thm)],[f17,f186]) ).
fof(f265,plain,
mult(x2,mult(op_e,x3)) != mult(x2,mult(op_e,x3)),
inference(backward_demodulation,[status(thm)],[f266,f28]) ).
fof(f266,plain,
! [X0,X1] : mult(X0,mult(op_e,X1)) = mult(mult(X0,op_e),X1),
inference(forward_demodulation,[status(thm)],[f212,f209]) ).
fof(f277,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 20:34:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.059336 seconds
% 0.11/0.44 % CPU time: 0.189979 seconds
% 0.11/0.44 % Total memory used: 9.735 MB
% 0.11/0.44 % Net memory used: 9.620 MB
%------------------------------------------------------------------------------