TSTP Solution File: GRP539-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP539-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:12:00 EDT 2023
% Result : Unsatisfiable 0.16s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,B),divide(divide(A,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,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f16,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f64,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f16,f11]) ).
fof(f319,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f320,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f319]) ).
fof(f321,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f11,f320]) ).
fof(f323,plain,
! [X0] : divide(divide(X0,identity),identity) = X0,
inference(paramodulation,[status(thm)],[f64,f321]) ).
fof(f324,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X0),X2)) = divide(X1,X2),
inference(paramodulation,[status(thm)],[f6,f321]) ).
fof(f327,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f321]) ).
fof(f328,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f9,f321]) ).
fof(f384,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f328,f21]) ).
fof(f413,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f384,f327]) ).
fof(f434,plain,
! [X0] : divide(divide(X0,identity),X0) = identity,
inference(paramodulation,[status(thm)],[f323,f6]) ).
fof(f440,plain,
! [X0,X1] : divide(X0,divide(divide(divide(X0,identity),X1),identity)) = X1,
inference(paramodulation,[status(thm)],[f323,f6]) ).
fof(f458,plain,
! [X0] : multiply(identity,X0) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f434,f321]) ).
fof(f459,plain,
! [X0] : X0 = divide(X0,identity),
inference(forward_demodulation,[status(thm)],[f328,f458]) ).
fof(f470,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f459,f440]) ).
fof(f471,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f459,f470]) ).
fof(f496,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f11,f471]) ).
fof(f502,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f471,f321]) ).
fof(f514,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f413,f502]) ).
fof(f712,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f514,f496]) ).
fof(f731,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f502,f712]) ).
fof(f747,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f712,f731]) ).
fof(f794,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X2,divide(divide(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f471,f324]) ).
fof(f1019,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f747,f11]) ).
fof(f1132,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X1,divide(inverse(X0),X2)),
inference(paramodulation,[status(thm)],[f712,f794]) ).
fof(f1133,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1019,f1132]) ).
fof(f1134,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f496,f794]) ).
fof(f1135,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X1,divide(inverse(X0),X2)),
inference(forward_demodulation,[status(thm)],[f1133,f1134]) ).
fof(f1136,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1019,f1135]) ).
fof(f1200,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1133,f10]) ).
fof(f1201,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f1136,f1200]) ).
fof(f1202,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP539-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:44:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.34 % Refutation found
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.36 % Elapsed time: 0.048998 seconds
% 0.16/0.36 % CPU time: 0.059816 seconds
% 0.16/0.36 % Memory used: 1.335 MB
%------------------------------------------------------------------------------