TSTP Solution File: NUM606+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 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 20:35:19 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 1 def)
% Number of atoms : 103 ( 1 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 120 ( 50 ~; 47 |; 17 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,hypothesis,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,conjecture,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
~ aSubsetOf0(xQ,szNzAzT0),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f127,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f128,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ? [W2] :
( aElementOf0(W2,W1)
& ~ aElementOf0(W2,W0) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f127]) ).
fof(f129,plain,
! [W0] :
( ~ aSet0(W0)
| ( ! [W1] :
( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ! [W1] :
( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ? [W2] :
( aElementOf0(W2,W1)
& ~ aElementOf0(W2,W0) ) ) ) ),
inference(miniscoping,[status(esa)],[f128]) ).
fof(f130,plain,
! [W0] :
( ~ aSet0(W0)
| ( ! [W1] :
( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ! [W1] :
( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ( aElementOf0(sk0_1(W1,W0),W1)
& ~ aElementOf0(sk0_1(W1,W0),W0) ) ) ) ),
inference(skolemization,[status(esa)],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f141,plain,
! [W0,W1,W2] :
( ~ aSet0(W0)
| ~ aSet0(W1)
| ~ aSet0(W2)
| ~ aSubsetOf0(W0,W1)
| ~ aSubsetOf0(W1,W2)
| aSubsetOf0(W0,W2) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f179,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f362,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f432,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f434,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f436,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f485,plain,
! [X0,X1,X2] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f131]) ).
fof(f506,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(X1,szNzAzT0) ),
inference(resolution,[status(thm)],[f179,f485]) ).
fof(f509,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0) ),
inference(resolution,[status(thm)],[f179,f131]) ).
fof(f589,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f509]) ).
fof(f615,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f362,f589]) ).
fof(f616,plain,
aSet0(xS),
inference(resolution,[status(thm)],[f362,f509]) ).
fof(f618,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X1,xS) ),
inference(resolution,[status(thm)],[f616,f485]) ).
fof(f621,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| aSet0(X0) ),
inference(resolution,[status(thm)],[f616,f131]) ).
fof(f648,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,xS)
| aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f621]) ).
fof(f674,plain,
! [X0] :
( ~ aSubsetOf0(X0,xO)
| aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f432,f648]) ).
fof(f691,plain,
aSubsetOf0(xQ,xS),
inference(resolution,[status(thm)],[f674,f434]) ).
fof(f703,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(resolution,[status(thm)],[f691,f615]) ).
fof(f704,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f703,f436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n002.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:01:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38 % Elapsed time: 0.032523 seconds
% 0.21/0.38 % CPU time: 0.064172 seconds
% 0.21/0.38 % Total memory used: 17.143 MB
% 0.21/0.38 % Net memory used: 17.091 MB
%------------------------------------------------------------------------------