TSTP Solution File: RNG001-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:32:32 EDT 2023
% Result : Unsatisfiable 177.66s 22.83s
% Output : CNFRefutation 178.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 130 ( 68 ~; 60 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 101 (; 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,U,Z,V,W] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(X,V3,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V) )
| ~ sum(U,Z,W) )
| sum(X,V,W) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f36,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ product(X,V3,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [X,V3,V4] :
( ! [V1,V2] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ sum(V1,V2,V4) )
| product(X,V3,V4) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f46,plain,
~ product(a,additive_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ product(a,X0,X1)
| ~ product(a,X2,X3)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X3,additive_identity) ),
inference(resolution,[status(thm)],[f39,f46]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ product(a,X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,multiply(a,X2),additive_identity) ),
inference(resolution,[status(thm)],[f23,f77]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X3)
| sum(X2,multiply(X0,X3),multiply(X0,X3)) ),
inference(resolution,[status(thm)],[f23,f37]) ).
fof(f143,plain,
! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(multiply(a,X0),multiply(a,X1),additive_identity) ),
inference(resolution,[status(thm)],[f122,f23]) ).
fof(f148,plain,
~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity),
inference(resolution,[status(thm)],[f143,f21]) ).
fof(f171,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X1,X2,X3)
| sum(X0,X2,X3) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f28,f26]) ).
fof(f2442,plain,
( spl0_100
<=> sum(multiply(a,additive_identity),additive_identity,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f2444,plain,
( ~ sum(multiply(a,additive_identity),additive_identity,additive_identity)
| spl0_100 ),
inference(component_clause,[status(thm)],[f2442]) ).
fof(f3109,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| spl0_100 ),
inference(resolution,[status(thm)],[f2444,f31]) ).
fof(f11181,plain,
! [X0] :
( ~ sum(multiply(a,additive_identity),additive_identity,X0)
| ~ sum(X0,multiply(a,additive_identity),additive_identity) ),
inference(resolution,[status(thm)],[f172,f148]) ).
fof(f11289,plain,
( spl0_388
<=> sum(additive_identity,multiply(a,additive_identity),additive_identity) ),
introduced(split_symbol_definition) ).
fof(f11291,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| spl0_388 ),
inference(component_clause,[status(thm)],[f11289]) ).
fof(f11318,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| ~ sum(multiply(a,additive_identity),additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f11181,f171]) ).
fof(f11319,plain,
( ~ spl0_388
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f11318,f11289,f2442]) ).
fof(f12041,plain,
( ~ sum(multiply(a,additive_identity),additive_identity,additive_identity)
| spl0_388 ),
inference(resolution,[status(thm)],[f11291,f31]) ).
fof(f12046,plain,
! [X0] :
( ~ sum(multiply(a,additive_identity),X0,X0)
| spl0_388 ),
inference(resolution,[status(thm)],[f12041,f173]) ).
fof(f12079,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,multiply(a,additive_identity))
| ~ sum(X1,X2,X2)
| spl0_388 ),
inference(resolution,[status(thm)],[f12046,f131]) ).
fof(f12195,plain,
! [X0] :
( ~ product(X0,additive_identity,multiply(a,additive_identity))
| spl0_388 ),
inference(resolution,[status(thm)],[f12079,f21]) ).
fof(f12236,plain,
( $false
| spl0_388 ),
inference(resolution,[status(thm)],[f12195,f23]) ).
fof(f12237,plain,
spl0_388,
inference(contradiction_clause,[status(thm)],[f12236]) ).
fof(f12238,plain,
( ~ spl0_388
| spl0_100 ),
inference(split_clause,[status(thm)],[f3109,f11289,f2442]) ).
fof(f12239,plain,
$false,
inference(sat_refutation,[status(thm)],[f11319,f12237,f12238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n026.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 10:52:28 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 177.66/22.83 % Refutation found
% 177.66/22.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 177.66/22.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 178.92/22.97 % Elapsed time: 22.629946 seconds
% 178.92/22.97 % CPU time: 178.875782 seconds
% 178.92/22.97 % Memory used: 447.586 MB
%------------------------------------------------------------------------------