%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:35:09 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.99s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(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,C] : mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X0,mult(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f10,f17]) ).
fof(f37,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,mult(X1,X2)),X1)) = mult(X1,mult(ld(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f30,f11]) ).
fof(f46,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(ld(X1,ld(X1,X2)),X1)),
inference(paramodulation,[status(thm)],[f10,f37]) ).
fof(f527,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),ld(mult(X2,X1),mult(mult(X2,X3),X1))) = mult(mult(X0,mult(X1,ld(X1,X3))),X1),
inference(paramodulation,[status(thm)],[f46,f30]) ).
fof(f583,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),ld(mult(X2,X1),mult(mult(X2,X3),X1))) = mult(mult(X0,X3),X1),
inference(forward_demodulation,[status(thm)],[f10,f527]) ).
fof(f1838,plain,
! [X0,X1] : ld(mult(unit,X0),mult(mult(X0,X1),X0)) = mult(X0,mult(ld(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f15,f37]) ).
fof(f1995,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = ld(X1,mult(mult(X1,ld(X1,X2)),X1)),
inference(backward_demodulation,[status(thm)],[f2074,f46]) ).
fof(f2074,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = mult(X0,mult(ld(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f15,f1838]) ).
fof(f2224,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f2226,f583]) ).
fof(f2226,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = ld(X1,mult(X2,X1)),
inference(forward_demodulation,[status(thm)],[f10,f1995]) ).
fof(f2449,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(backward_demodulation,[status(thm)],[f2224,f18]) ).
fof(f2473,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/1.12 % Computer : n004.cluster.edu
% 0.10/1.12 % Model : x86_64 x86_64
% 0.10/1.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.12 % Memory : 8046.5625MB
% 0.10/1.12 % OS : Linux 6.8.0-71-generic
% 0.10/1.12 % CPULimit : 300
% 0.10/1.12 % WCLimit : 300
% 0.10/1.12 % DateTime : Sun Sep 20 20:34:07 UTC 2026
% 0.10/1.12 % CPUTime :
% 0.15/1.13 % Drodi V4.1.1
% 0.15/1.99 % Refutation found
% 0.15/1.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/1.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/2.01 % Elapsed time: 0.871346 seconds
% 0.15/2.01 % CPU time: 6.832123 seconds
% 0.15/2.01 % Total memory used: 210.037 MB
% 0.15/2.01 % Net memory used: 207.390 MB
%------------------------------------------------------------------------------