%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP563-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:34:41 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f16,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f18,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : divide(divide(multiply(multiply(multiply(X0,X1),X2),X3),multiply(X0,X2)),X1) = X3,
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,X3))),X3) = X1,
inference(paramodulation,[status(thm)],[f18,f12]) ).
fof(f35,plain,
! [X0,X1,X2,X3] : multiply(divide(multiply(multiply(multiply(X0,inverse(X1)),X2),X3),multiply(X0,X2)),X1) = X3,
inference(paramodulation,[status(thm)],[f5,f19]) ).
fof(f43,plain,
! [X0,X1,X2,X3] : multiply(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(X3)))),X3) = X1,
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(multiply(multiply(X1,inverse(X2)),X3),multiply(X1,X3))),X0) = X2,
inference(paramodulation,[status(thm)],[f35,f14]) ).
fof(f64,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f16,f49]) ).
fof(f65,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f5,f64]) ).
fof(f71,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f65,f12]) ).
fof(f76,plain,
! [X0,X1] : X0 = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f65,f71]) ).
fof(f117,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(divide(X1,X1),X0),X2)) = X2,
inference(paramodulation,[status(thm)],[f76,f18]) ).
fof(f130,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f76,f117]) ).
fof(f142,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(multiply(X2,X0),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f18,f130]) ).
fof(f170,plain,
! [X0,X1,X2] : multiply(divide(multiply(X0,X1),divide(X0,inverse(X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f142,f43]) ).
fof(f185,plain,
! [X0,X1,X2] : multiply(divide(multiply(X0,X1),multiply(X0,X2)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f170]) ).
fof(f186,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f142,f185]) ).
fof(f425,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f186]) ).
fof(f427,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f65,f186]) ).
fof(f455,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f425,f6]) ).
fof(f1254,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f427,f425]) ).
fof(f1285,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1286,f455]) ).
fof(f1286,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f425,f1254]) ).
fof(f1305,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP563-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:19:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.50/1.62 % Elapsed time: 1.055637 seconds
% 1.50/1.62 % CPU time: 0.251803 seconds
% 1.50/1.62 % Total memory used: 11.676 MB
% 1.50/1.62 % Net memory used: 11.227 MB
%------------------------------------------------------------------------------