TSTP Solution File: GRP097-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP097-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Tue Apr 30 20:19:13 EDT 2024
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 53 unt; 0 def)
% Number of atoms : 107 ( 73 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f9,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f29,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f22,f25]) ).
fof(f38,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f29]) ).
fof(f39,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f29,f25]) ).
fof(f58,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f39]) ).
fof(f66,plain,
! [X0,X1] : multiply(X0,inverse(divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f29,f38]) ).
fof(f75,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f58,f58]) ).
fof(f81,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f39,f58]) ).
fof(f98,plain,
! [X0,X1] : inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
inference(paramodulation,[status(thm)],[f66,f81]) ).
fof(f100,plain,
! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f29,f81]) ).
fof(f107,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f81,f58]) ).
fof(f113,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f107,f81]) ).
fof(f125,plain,
! [X0,X1] : inverse(divide(multiply(X0,X1),X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f107,f75]) ).
fof(f156,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f113]) ).
fof(f180,plain,
! [X0,X1,X2] : multiply(X0,divide(inverse(divide(X1,X1)),X2)) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f98,f5]) ).
fof(f182,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,divide(multiply(inverse(X2),X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f27]) ).
fof(f183,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,divide(inverse(divide(X2,X3)),multiply(X0,X3))),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f107,f182]) ).
fof(f234,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(divide(divide(inverse(divide(X2,X2)),X0),X1)),
inference(paramodulation,[status(thm)],[f98,f107]) ).
fof(f270,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f29,f125]) ).
fof(f319,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f100,f270]) ).
fof(f360,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f100,f319]) ).
fof(f397,plain,
! [X0,X1,X2] : multiply(X0,divide(inverse(divide(X1,X1)),divide(X0,X2))) = X2,
inference(paramodulation,[status(thm)],[f319,f20]) ).
fof(f398,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f180,f397]) ).
fof(f486,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f398,f98]) ).
fof(f487,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f398,f156]) ).
fof(f493,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f398,f113]) ).
fof(f498,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f486,f98]) ).
fof(f499,plain,
! [X0,X1] : multiply(X0,X1) = inverse(divide(inverse(X0),X1)),
inference(backward_demodulation,[status(thm)],[f486,f234]) ).
fof(f500,plain,
! [X0,X1] : multiply(X0,X1) = divide(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f493,f499]) ).
fof(f501,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f500]) ).
fof(f502,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f486,f180]) ).
fof(f503,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f487,f156]) ).
fof(f504,plain,
! [X0,X1] : inverse(inverse(divide(multiply(X0,X1),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f107,f503]) ).
fof(f505,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f498,f504]) ).
fof(f510,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,inverse(multiply(multiply(X0,X2),divide(X3,X2)))),X3)) = X1,
inference(backward_demodulation,[status(thm)],[f487,f183]) ).
fof(f511,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X3),divide(X1,X3)))))) = X2,
inference(forward_demodulation,[status(thm)],[f501,f510]) ).
fof(f512,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,divide(X2,multiply(multiply(X0,X3),divide(X1,X3))))) = X2,
inference(forward_demodulation,[status(thm)],[f502,f511]) ).
fof(f586,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f501]) ).
fof(f587,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f586]) ).
fof(f599,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f501,f15]) ).
fof(f716,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X0,X2),divide(X1,X2)),
inference(paramodulation,[status(thm)],[f29,f512]) ).
fof(f719,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(multiply(X0,X3),divide(X1,X3))),
inference(paramodulation,[status(thm)],[f505,f512]) ).
fof(f720,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f716,f719]) ).
fof(f773,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f599,f720]) ).
fof(f774,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f777,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f501,f9]) ).
fof(f778,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f502,f777]) ).
fof(f779,plain,
( divide(a1,a1) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f501,f778]) ).
fof(f780,plain,
( divide(a1,a1) != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f502,f779]) ).
fof(f781,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f360]) ).
fof(f782,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f501,f12]) ).
fof(f785,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f720,f784]) ).
fof(f786,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f502,f785]) ).
fof(f787,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f39,f786]) ).
fof(f788,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f787]) ).
fof(f789,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f790,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f587,f774,f782,f789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP097-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:36:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.085255 seconds
% 0.19/0.44 % CPU time: 0.586246 seconds
% 0.19/0.44 % Total memory used: 48.741 MB
% 0.19/0.44 % Net memory used: 48.203 MB
%------------------------------------------------------------------------------