TSTP Solution File: GRP498-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP498-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Tue Apr 30 20:20:48 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 102 ( 102 unt; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 170 ( 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(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] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(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(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f26,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f30,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,X0),inverse(X0)),
inference(paramodulation,[status(thm)],[f16,f28]) ).
fof(f114,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f115,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),inverse(double_divide(X1,double_divide(X2,X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f114]) ).
fof(f116,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f14,f115]) ).
fof(f117,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f26,f116]) ).
fof(f118,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f9,f116]) ).
fof(f125,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(double_divide(identity,double_divide(multiply(X1,X0),inverse(X2))),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f26,f116]) ).
fof(f127,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f9,f116]) ).
fof(f128,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),multiply(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f8,f116]) ).
fof(f134,plain,
! [X0,X1] : X0 = double_divide(inverse(identity),multiply(double_divide(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f8,f118]) ).
fof(f148,plain,
! [X0] : identity = multiply(multiply(identity,X0),inverse(X0)),
inference(backward_demodulation,[status(thm)],[f117,f30]) ).
fof(f155,plain,
multiply(identity,identity) = inverse(identity),
inference(paramodulation,[status(thm)],[f117,f16]) ).
fof(f158,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f117,f155]) ).
fof(f380,plain,
! [X0,X1] : X0 = double_divide(identity,multiply(double_divide(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f117,f134]) ).
fof(f390,plain,
! [X0] : X0 = double_divide(identity,multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f9,f380]) ).
fof(f391,plain,
! [X0] : X0 = double_divide(identity,multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f8,f380]) ).
fof(f490,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,double_divide(multiply(X1,X0),identity)),multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f117,f125]) ).
fof(f494,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,double_divide(multiply(X1,X0),inverse(identity))),identity),
inference(paramodulation,[status(thm)],[f158,f125]) ).
fof(f520,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,inverse(multiply(X1,X0))),multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f490]) ).
fof(f521,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,inverse(multiply(X1,X0))),identity),
inference(forward_demodulation,[status(thm)],[f158,f520]) ).
fof(f522,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(double_divide(identity,inverse(multiply(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f8,f521]) ).
fof(f523,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(multiply(X1,X0)),identity),
inference(forward_demodulation,[status(thm)],[f14,f522]) ).
fof(f525,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(double_divide(identity,double_divide(multiply(X1,X0),inverse(identity)))),
inference(forward_demodulation,[status(thm)],[f8,f494]) ).
fof(f526,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),inverse(identity)),identity),
inference(forward_demodulation,[status(thm)],[f14,f525]) ).
fof(f527,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),identity),identity),
inference(forward_demodulation,[status(thm)],[f117,f526]) ).
fof(f528,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(multiply(X1,X0)),identity),
inference(forward_demodulation,[status(thm)],[f8,f527]) ).
fof(f600,plain,
! [X0] : X0 = double_divide(double_divide(identity,double_divide(inverse(X0),identity)),multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f117,f127]) ).
fof(f626,plain,
! [X0] : X0 = double_divide(double_divide(identity,inverse(inverse(X0))),multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f600]) ).
fof(f627,plain,
! [X0] : X0 = double_divide(double_divide(identity,multiply(identity,X0)),multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f16,f626]) ).
fof(f628,plain,
! [X0] : X0 = double_divide(double_divide(identity,multiply(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f158,f627]) ).
fof(f629,plain,
! [X0] : X0 = inverse(double_divide(identity,multiply(identity,X0))),
inference(forward_demodulation,[status(thm)],[f8,f628]) ).
fof(f630,plain,
! [X0] : X0 = multiply(multiply(identity,X0),identity),
inference(forward_demodulation,[status(thm)],[f14,f629]) ).
fof(f659,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f523,f391]) ).
fof(f714,plain,
! [X0,X1] : X0 = double_divide(multiply(inverse(X1),identity),multiply(inverse(X0),X1)),
inference(backward_demodulation,[status(thm)],[f659,f128]) ).
fof(f721,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(double_divide(X2,X1),X0)) = X2,
inference(backward_demodulation,[status(thm)],[f659,f116]) ).
fof(f724,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),identity) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f390,f659]) ).
fof(f739,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f630,f724]) ).
fof(f756,plain,
! [X0] : X0 = inverse(multiply(identity,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f739,f390]) ).
fof(f757,plain,
! [X0,X1] : X0 = inverse(multiply(double_divide(X0,X1),X1)),
inference(backward_demodulation,[status(thm)],[f739,f380]) ).
fof(f766,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f739,f14]) ).
fof(f767,plain,
! [X0] : X0 = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f756]) ).
fof(f768,plain,
! [X0] : X0 = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f16,f767]) ).
fof(f798,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f768,f630]) ).
fof(f821,plain,
! [X0] : X0 = inverse(multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f8,f757]) ).
fof(f828,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(X0,X1),X1),X0),
inference(paramodulation,[status(thm)],[f757,f9]) ).
fof(f829,plain,
! [X0,X1] : multiply(identity,multiply(double_divide(X0,X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f757,f16]) ).
fof(f938,plain,
! [X0] : X0 = inverse(multiply(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f798,f821]) ).
fof(f939,plain,
! [X0] : X0 = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f938]) ).
fof(f940,plain,
! [X0] : X0 = multiply(identity,multiply(X0,identity)),
inference(forward_demodulation,[status(thm)],[f766,f939]) ).
fof(f1104,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f828,f757]) ).
fof(f1115,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f17,f1104]) ).
fof(f1305,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(identity,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f798,f528]) ).
fof(f1307,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = multiply(identity,X1),
inference(paramodulation,[status(thm)],[f757,f1305]) ).
fof(f1439,plain,
! [X0,X1] : multiply(identity,inverse(multiply(double_divide(X0,X1),X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f829,f17]) ).
fof(f1464,plain,
! [X1,X0] : double_divide(X1,double_divide(X0,X1)) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1305,f1439]) ).
fof(f1465,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = multiply(X1,identity),
inference(forward_demodulation,[status(thm)],[f766,f1464]) ).
fof(f1635,plain,
! [X0,X1] : X0 = double_divide(multiply(identity,inverse(X1)),multiply(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f798,f714]) ).
fof(f1640,plain,
! [X0,X1] : X0 = double_divide(multiply(identity,multiply(X1,identity)),multiply(inverse(X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f766,f1635]) ).
fof(f1654,plain,
! [X0,X1] : multiply(identity,multiply(identity,inverse(X0))) = double_divide(multiply(inverse(X1),X0),X1),
inference(paramodulation,[status(thm)],[f1635,f1307]) ).
fof(f1665,plain,
! [X0,X1] : X0 = double_divide(X1,multiply(inverse(X0),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f940,f1640]) ).
fof(f1683,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f768,f1654]) ).
fof(f1715,plain,
! [X0] : inverse(X0) = inverse(multiply(inverse(identity),X0)),
inference(paramodulation,[status(thm)],[f8,f1683]) ).
fof(f1726,plain,
! [X0,X1] : multiply(identity,inverse(multiply(inverse(X0),X1))) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1683,f1115]) ).
fof(f1733,plain,
! [X0] : inverse(X0) = inverse(multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f117,f1715]) ).
fof(f1740,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f1305,f1726]) ).
fof(f1765,plain,
! [X0] : identity = multiply(multiply(identity,multiply(identity,X0)),inverse(X0)),
inference(paramodulation,[status(thm)],[f1733,f148]) ).
fof(f1786,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f768,f1765]) ).
fof(f1797,plain,
! [X0] : X0 = double_divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f1786,f1665]) ).
fof(f1815,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f1797]) ).
fof(f1846,plain,
! [X0] : X0 = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f766,f1815]) ).
fof(f1855,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f1815]) ).
fof(f1883,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f1846,f1465]) ).
fof(f1958,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f1883,f1883]) ).
fof(f1986,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1958,f14]) ).
fof(f2036,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(X1))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f1665,f1986]) ).
fof(f2040,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1986,f1683]) ).
fof(f2045,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f1855,f2036]) ).
fof(f2048,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f14,f2040]) ).
fof(f2416,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X1)),multiply(double_divide(X2,X1),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f1740,f721]) ).
fof(f2418,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),multiply(double_divide(X0,X2),inverse(X1))),
inference(paramodulation,[status(thm)],[f2045,f2416]) ).
fof(f2453,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(inverse(double_divide(X0,X2)),X1)),
inference(forward_demodulation,[status(thm)],[f2048,f2418]) ).
fof(f2454,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(multiply(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f14,f2453]) ).
fof(f2520,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),X2)) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f2454,f1986]) ).
fof(f2554,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f14,f2520]) ).
fof(f2555,plain,
$false,
inference(resolution,[status(thm)],[f2554,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP498-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n004.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:15:48 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.109058 seconds
% 0.15/0.43 % CPU time: 0.758480 seconds
% 0.15/0.43 % Total memory used: 39.442 MB
% 0.15/0.43 % Net memory used: 38.268 MB
%------------------------------------------------------------------------------