%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:34:36 PM UTC 2026
% Result : Unsatisfiable 0.07s 5.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 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; 3 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,divide(B,C)),divide(A,B)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f46,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f50,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f63,plain,
! [X0,X1,X2] : divide(divide(X0,divide(inverse(X1),X2)),multiply(X0,X1)) = X2,
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f87,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f7,f46]) ).
fof(f98,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),X1)) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f46,f14]) ).
fof(f134,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f50]) ).
fof(f145,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),divide(divide(X2,X3),X2)) = divide(X0,divide(X1,X3)),
inference(paramodulation,[status(thm)],[f5,f50]) ).
fof(f154,plain,
! [X0,X1,X2] : inverse(divide(X0,X1)) = divide(divide(X2,divide(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f50,f46]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),divide(X0,X2)) = divide(divide(X3,divide(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f50,f5]) ).
fof(f171,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f14,f134]) ).
fof(f198,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X0,X2)) = inverse(divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f154,f156]) ).
fof(f217,plain,
! [X0,X1,X2] : divide(divide(X0,multiply(inverse(X1),X2)),multiply(X0,X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f14,f63]) ).
fof(f270,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f7,f98]) ).
fof(f301,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f46,f87]) ).
fof(f314,plain,
! [X0,X1,X2] : divide(divide(X0,X1),inverse(X2)) = divide(X0,divide(X1,X2)),
inference(backward_demodulation,[status(thm)],[f301,f145]) ).
fof(f321,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,X1),X0),X2) = inverse(divide(X1,X2)),
inference(backward_demodulation,[status(thm)],[f326,f198]) ).
fof(f326,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X0,divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f14,f314]) ).
fof(f336,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,X2))),multiply(X0,X1)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f342,f217]) ).
fof(f342,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f301,f321]) ).
fof(f353,plain,
! [X0,X1,X2] : divide(multiply(X0,divide(X1,X2)),multiply(X0,X1)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f14,f336]) ).
fof(f670,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X2)) = multiply(X0,divide(X1,X2)),
inference(paramodulation,[status(thm)],[f353,f171]) ).
fof(f694,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f270,f670]) ).
fof(f935,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,divide(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f14,f694]) ).
fof(f959,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f967,f8]) ).
fof(f967,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f14,f935]) ).
fof(f995,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.35 % Computer : n004.cluster.edu
% 0.07/5.35 % Model : x86_64 x86_64
% 0.07/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.35 % Memory : 8046.5625MB
% 0.07/5.35 % OS : Linux 6.8.0-71-generic
% 0.07/5.35 % CPULimit : 300
% 0.07/5.35 % WCLimit : 300
% 0.07/5.35 % DateTime : Sun Sep 20 20:16:09 UTC 2026
% 0.07/5.35 % CPUTime :
% 0.07/5.36 % Drodi V4.1.1
% 0.07/5.39 % Refutation found
% 0.07/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.80/6.61 % Elapsed time: 1.043408 seconds
% 3.80/6.61 % CPU time: 0.281022 seconds
% 3.80/6.61 % Total memory used: 11.893 MB
% 3.80/6.61 % Net memory used: 11.390 MB
%------------------------------------------------------------------------------