%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 4
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(A,B),divide(C,B))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,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(f15,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f17,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f19,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f15]) ).
fof(f28,plain,
! [X0,X1] : inverse(X0) = divide(inverse(inverse(divide(X1,X1))),X0),
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f180,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f181,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f191,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,divide(divide(X0,X3),divide(X1,X3))))) = X2,
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f222,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f14,f180]) ).
fof(f259,plain,
! [X0,X1] : inverse(inverse(divide(X0,divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f15,f222]) ).
fof(f269,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,X1),divide(X2,X1)),X2) = X0,
inference(paramodulation,[status(thm)],[f5,f222]) ).
fof(f270,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f14,f222]) ).
fof(f306,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f222,f270]) ).
fof(f313,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f306]) ).
fof(f319,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(inverse(divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f28,f306]) ).
fof(f323,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = divide(divide(X1,X2),divide(X0,X2)),
inference(paramodulation,[status(thm)],[f5,f306]) ).
fof(f368,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f313,f259]) ).
fof(f390,plain,
! [X0,X1] : multiply(X0,inverse(inverse(divide(X1,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f313,f319]) ).
fof(f391,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f313,f390]) ).
fof(f395,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f323,f5]) ).
fof(f396,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f323,f269]) ).
fof(f398,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,multiply(inverse(X1),X0)))) = X2,
inference(backward_demodulation,[status(thm)],[f323,f191]) ).
fof(f448,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f313,f14]) ).
fof(f513,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f313,f396]) ).
fof(f517,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f448,f513]) ).
fof(f596,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f313,f395]) ).
fof(f635,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,X1),X2),X0) = divide(X2,X1),
inference(paramodulation,[status(thm)],[f517,f181]) ).
fof(f636,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(paramodulation,[status(thm)],[f181,f181]) ).
fof(f643,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(divide(X0,X2),X1),
inference(paramodulation,[status(thm)],[f517,f181]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,X3))) = divide(divide(X0,divide(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f181,f181]) ).
fof(f650,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f181,f7]) ).
fof(f653,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f181,f222]) ).
fof(f671,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,divide(X2,divide(X1,X3)))) = divide(divide(X0,X2),X3),
inference(backward_demodulation,[status(thm)],[f643,f636]) ).
fof(f673,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = divide(X1,multiply(divide(X0,X2),X2)),
inference(backward_demodulation,[status(thm)],[f643,f323]) ).
fof(f675,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,X3))) = divide(X0,multiply(X3,divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f643,f644]) ).
fof(f684,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f643,f650]) ).
fof(f686,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f653,f391]) ).
fof(f690,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(divide(X2,X3),X2))) = divide(divide(X0,X1),X3),
inference(forward_demodulation,[status(thm)],[f675,f671]) ).
fof(f691,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,multiply(X2,X3)))) = divide(divide(X0,X1),X3),
inference(forward_demodulation,[status(thm)],[f643,f690]) ).
fof(f692,plain,
! [X0,X1,X2] : divide(X0,divide(X1,inverse(X2))) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f684,f691]) ).
fof(f693,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f14,f692]) ).
fof(f698,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f643,f693]) ).
fof(f699,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = divide(X1,multiply(X2,divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f698,f673]) ).
fof(f700,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = divide(X1,divide(X0,divide(X2,X2))),
inference(forward_demodulation,[status(thm)],[f675,f699]) ).
fof(f713,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f716,f398]) ).
fof(f716,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f368,f700]) ).
fof(f758,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(divide(X0,X1),X2),
inference(paramodulation,[status(thm)],[f517,f713]) ).
fof(f775,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X1,X2)),X0) = divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f758,f635]) ).
fof(f795,plain,
! [X0,X1,X2] : divide(X0,multiply(X0,divide(X1,X2))) = divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f643,f775]) ).
fof(f796,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f684,f795]) ).
fof(f836,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f596,f686]) ).
fof(f837,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f838,f8]) ).
fof(f838,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f836]) ).
fof(f883,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f14,f796]) ).
fof(f908,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f883,f14]) ).
fof(f982,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f14,f653]) ).
fof(f1009,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1010,f837]) ).
fof(f1010,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f908,f982]) ).
fof(f1036,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f838,f1009]) ).
fof(f1037,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:16:39 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.45/1.62 % Elapsed time: 1.043179 seconds
% 1.45/1.62 % CPU time: 0.165175 seconds
% 1.45/1.62 % Total memory used: 7.135 MB
% 1.45/1.62 % Net memory used: 6.940 MB
%------------------------------------------------------------------------------