TSTP Solution File: SWV365+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV365+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : 600s
% DateTime : Wed Jul 20 20:31:23 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 2 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq ).
fof(l1_co,conjecture,
! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)) ).
fof(subgoal_0,plain,
! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
inference(strip,[],[l1_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,X,Y] : i(triple(U,create_slb,X)) != i(triple(V,create_slb,Y)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) != i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[ax54]) ).
fof(normalize_0_3,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(specialize,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) != i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) = create_pq,
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( create_pq != i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y))
| i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) != create_pq
| i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) = i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) ),
introduced(tautology,[equality,[$cnf( $equal(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)),create_pq) ),[1],$fot(i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_4,plain,
( create_pq != i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y))
| i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) = i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( $equal(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)),create_pq) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) = create_pq,
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_V_2)),bind(V,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_6,plain,
( create_pq != create_pq
| i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) != create_pq
| create_pq = i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(create_pq,i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y))) ),[1],$fot(create_pq)]]) ).
cnf(refute_0_7,plain,
( create_pq != create_pq
| create_pq = i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( $equal(i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)),create_pq) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( create_pq != create_pq
| i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)) = i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( $equal(create_pq,i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y))) )],[refute_0_7,refute_0_4]) ).
cnf(refute_0_9,plain,
create_pq != create_pq,
inference(resolve,[$cnf( $equal(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_X)),i(triple(skolemFOFtoCNF_V_2,create_slb,skolemFOFtoCNF_Y))) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
create_pq = create_pq,
introduced(tautology,[refl,[$fot(create_pq)]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( $equal(create_pq,create_pq) )],[refute_0_10,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV365+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 600
% 0.20/0.35 % DateTime : Wed Jun 15 13:14:39 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43
% 0.20/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.43
%------------------------------------------------------------------------------