TSTP Solution File: RNG006-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:32:34 EDT 2023
% Result : Unsatisfiable 2.61s 0.70s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,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(f29,axiom,
! [A,B,C] :
( ~ product(A,B,C)
| product(A,additive_inverse(B),additive_inverse(C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
product(a,b,aPb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
product(a,c,aPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,hypothesis,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,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)],[f22]) ).
fof(f72,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)],[f71]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X0,additive_inverse(X1),additive_inverse(X2)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f86,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f87,plain,
product(a,b,aPb),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f88,plain,
product(a,c,aPc),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f89,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f90,plain,
~ product(a,bS_Ic,aPb_S_IaPc),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f998,plain,
! [X0,X1,X2,X3] :
( ~ product(a,X0,X1)
| ~ product(a,X2,X3)
| ~ sum(X0,X2,bS_Ic)
| ~ sum(X1,X3,aPb_S_IaPc) ),
inference(resolution,[status(thm)],[f72,f90]) ).
fof(f1579,plain,
! [X0,X1] :
( ~ product(a,X0,aPb)
| ~ product(a,X1,additive_inverse(aPc))
| ~ sum(X0,X1,bS_Ic) ),
inference(resolution,[status(thm)],[f998,f89]) ).
fof(f2184,plain,
( spl0_140
<=> product(a,b,aPb) ),
introduced(split_symbol_definition) ).
fof(f2186,plain,
( ~ product(a,b,aPb)
| spl0_140 ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,plain,
( spl0_141
<=> product(a,additive_inverse(c),additive_inverse(aPc)) ),
introduced(split_symbol_definition) ).
fof(f2189,plain,
( ~ product(a,additive_inverse(c),additive_inverse(aPc))
| spl0_141 ),
inference(component_clause,[status(thm)],[f2187]) ).
fof(f2190,plain,
( ~ product(a,b,aPb)
| ~ product(a,additive_inverse(c),additive_inverse(aPc)) ),
inference(resolution,[status(thm)],[f1579,f86]) ).
fof(f2191,plain,
( ~ spl0_140
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f2190,f2184,f2187]) ).
fof(f2208,plain,
( $false
| spl0_140 ),
inference(forward_subsumption_resolution,[status(thm)],[f2186,f87]) ).
fof(f2209,plain,
spl0_140,
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2509,plain,
( ~ product(a,c,aPc)
| spl0_141 ),
inference(resolution,[status(thm)],[f2189,f83]) ).
fof(f2510,plain,
( $false
| spl0_141 ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f88]) ).
fof(f2511,plain,
spl0_141,
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2512,plain,
$false,
inference(sat_refutation,[status(thm)],[f2191,f2209,f2511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:36:48 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 2.61/0.70 % Refutation found
% 2.61/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.61/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.61/0.71 % Elapsed time: 0.402499 seconds
% 2.61/0.71 % CPU time: 2.669316 seconds
% 2.61/0.71 % Memory used: 49.209 MB
%------------------------------------------------------------------------------