TSTP Solution File: SWV412+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:46:58 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 7 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,lemma,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f63,plain,
! [U,V,W,X] :
( ~ pair_in_list(U,V,W)
| ~ strictly_less_than(W,X)
| pair_in_list(update_slb(U,X),V,X) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f64,plain,
! [U,V,X] :
( ! [W] :
( ~ pair_in_list(U,V,W)
| ~ strictly_less_than(W,X) )
| pair_in_list(update_slb(U,X),V,X) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ pair_in_list(X0,X1,X2)
| ~ strictly_less_than(X2,X3)
| pair_in_list(update_slb(X0,X3),X1,X3) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
? [U,V,W,X] :
( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X)
& ~ pair_in_list(update_slb(U,X),V,X) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f67,plain,
? [U,V,X] :
( ? [W] :
( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
& ~ pair_in_list(update_slb(U,X),V,X) ),
inference(miniscoping,[status(esa)],[f66]) ).
fof(f68,plain,
( pair_in_list(sk0_0,sk0_1,sk0_3)
& strictly_less_than(sk0_1,sk0_2)
& strictly_less_than(sk0_3,sk0_2)
& ~ pair_in_list(update_slb(sk0_0,sk0_2),sk0_1,sk0_2) ),
inference(skolemization,[status(esa)],[f67]) ).
fof(f69,plain,
pair_in_list(sk0_0,sk0_1,sk0_3),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f71,plain,
strictly_less_than(sk0_3,sk0_2),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f72,plain,
~ pair_in_list(update_slb(sk0_0,sk0_2),sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f95,plain,
! [X0] :
( ~ pair_in_list(sk0_0,sk0_1,X0)
| ~ strictly_less_than(X0,sk0_2) ),
inference(resolution,[status(thm)],[f65,f72]) ).
fof(f96,plain,
~ strictly_less_than(sk0_3,sk0_2),
inference(resolution,[status(thm)],[f95,f69]) ).
fof(f97,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f96,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Tue Apr 30 00:58:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38 % Elapsed time: 0.020110 seconds
% 0.14/0.38 % CPU time: 0.025401 seconds
% 0.14/0.38 % Total memory used: 10.960 MB
% 0.14/0.38 % Net memory used: 10.874 MB
%------------------------------------------------------------------------------