%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP612-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:34:47 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.50s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),double_divide(multiply(X1,X3),double_divide(X3,X0))) = X2,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f33,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f54,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f14,f33]) ).
fof(f70,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f33,f5]) ).
fof(f93,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f54,f5]) ).
fof(f135,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(paramodulation,[status(thm)],[f93,f12]) ).
fof(f163,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f135,f33]) ).
fof(f198,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f163,f33]) ).
fof(f217,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f135,f198]) ).
fof(f239,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f33,f217]) ).
fof(f265,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f239]) ).
fof(f266,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f93,f239]) ).
fof(f271,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),X1),X1) = double_divide(X2,multiply(double_divide(multiply(X3,X2),X0),X3)),
inference(paramodulation,[status(thm)],[f70,f239]) ).
fof(f304,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f33,f271]) ).
fof(f462,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f70,f266]) ).
fof(f475,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f33,f462]) ).
fof(f487,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f265,f304]) ).
fof(f522,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f475,f487]) ).
fof(f547,plain,
! [X0,X1] : X0 = inverse(multiply(X1,double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f522]) ).
fof(f576,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f266,f547]) ).
fof(f594,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f576,f522]) ).
fof(f606,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f594]) ).
fof(f1126,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP612-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.48 % Computer : n012.cluster.edu
% 0.04/0.48 % Model : x86_64 x86_64
% 0.04/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.48 % Memory : 8046.5625MB
% 0.04/0.48 % OS : Linux 6.8.0-71-generic
% 0.04/0.48 % CPULimit : 300
% 0.04/0.48 % WCLimit : 300
% 0.04/0.48 % DateTime : Sun Sep 20 20:17:52 UTC 2026
% 0.04/0.48 % CPUTime :
% 0.04/0.49 % Drodi V4.1.1
% 0.04/0.50 % Refutation found
% 0.04/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.51 % Elapsed time: 0.025768 seconds
% 0.04/0.51 % CPU time: 0.108867 seconds
% 0.04/0.51 % Total memory used: 8.879 MB
% 0.04/0.51 % Net memory used: 8.507 MB
%------------------------------------------------------------------------------