%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG235-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 11:49:05 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,mult(B,mult(A,B))) = mult(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C,D] : mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
mult(a,mult(c,mult(a,mult(b,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
inference(backward_demodulation,[status(thm)],[f6,f8]) ).
fof(f37,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X2,mult(X1,X0)))) = mult(X2,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f323,plain,
mult(a,mult(c,mult(d,mult(b,mult(a,c))))) != mult(a,mult(b,mult(d,c))),
inference(forward_demodulation,[status(thm)],[f6,f33]) ).
fof(f324,plain,
mult(d,mult(c,mult(a,mult(b,mult(a,c))))) != mult(a,mult(b,mult(d,c))),
inference(forward_demodulation,[status(thm)],[f6,f323]) ).
fof(f325,plain,
mult(d,mult(b,mult(a,c))) != mult(a,mult(b,mult(d,c))),
inference(forward_demodulation,[status(thm)],[f37,f324]) ).
fof(f326,plain,
mult(d,mult(b,mult(a,c))) != mult(d,mult(b,mult(a,c))),
inference(forward_demodulation,[status(thm)],[f6,f325]) ).
fof(f327,plain,
$false,
inference(equality_resolution,[status(thm)],[f326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG235-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 13:09:19 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.57/1.73 % Elapsed time: 1.060325 seconds
% 1.57/1.73 % CPU time: 0.140092 seconds
% 1.57/1.73 % Total memory used: 4.028 MB
% 1.57/1.73 % Net memory used: 3.937 MB
%------------------------------------------------------------------------------