TSTP Solution File: RNG006-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:37:40 EDT 2024
% Result : Unsatisfiable 6.95s 1.27s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 49 ( 28 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,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/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B,C] :
( ~ product(A,B,C)
| product(A,additive_inverse(B),additive_inverse(C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
product(a,b,aPb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
product(a,c,aPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,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)],[f13]) ).
fof(f44,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)],[f43]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X0,additive_inverse(X1),additive_inverse(X2)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f56,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f57,plain,
product(a,b,aPb),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f58,plain,
product(a,c,aPc),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f59,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f60,plain,
~ product(a,bS_Ic,aPb_S_IaPc),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f1433,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)],[f44,f60]) ).
fof(f2487,plain,
! [X0,X1] :
( ~ product(a,b,X0)
| ~ product(a,additive_inverse(c),X1)
| ~ sum(X0,X1,aPb_S_IaPc) ),
inference(resolution,[status(thm)],[f1433,f56]) ).
fof(f3968,plain,
! [X0] :
( ~ product(a,additive_inverse(c),X0)
| ~ sum(aPb,X0,aPb_S_IaPc) ),
inference(resolution,[status(thm)],[f2487,f57]) ).
fof(f3999,plain,
! [X0] :
( ~ sum(aPb,additive_inverse(X0),aPb_S_IaPc)
| ~ product(a,c,X0) ),
inference(resolution,[status(thm)],[f3968,f53]) ).
fof(f4015,plain,
~ product(a,c,aPc),
inference(resolution,[status(thm)],[f3999,f59]) ).
fof(f4016,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4015,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:37:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 6.95/1.27 % Refutation found
% 6.95/1.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.95/1.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.17/1.29 % Elapsed time: 0.925874 seconds
% 7.17/1.29 % CPU time: 7.233753 seconds
% 7.17/1.29 % Total memory used: 114.968 MB
% 7.17/1.29 % Net memory used: 106.088 MB
%------------------------------------------------------------------------------