%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 20:31:24 EDT 2022
% Result : Theorem 4.96s 5.15s
% Output : CNFRefutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 25 unt; 0 def)
% Number of atoms : 128 ( 58 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 122 ( 60 ~; 42 |; 11 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 101 ( 12 sgn 69 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax39,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ) ).
fof(ax40,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ) ).
fof(ax46,axiom,
! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad) ).
fof(ax51,axiom,
! [U,V,W,X] :
( V != create_slb
=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ) ).
fof(l9_l10,lemma,
! [U,V,W] :
( ok(findmin_cpq_eff(triple(U,V,W)))
=> ( V != create_slb
& contains_slb(V,findmin_pqp_res(U))
& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ) ).
fof(l9_co,conjecture,
! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ).
fof(subgoal_0,plain,
! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(strip,[],[l9_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
& ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))
& ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad),
inference(canonicalize,[],[ax46]) ).
fof(normalize_0_4,plain,
! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [U,V] :
( V = create_slb
| ! [W] : findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
inference(canonicalize,[],[ax51]) ).
fof(normalize_0_7,plain,
! [U,V] :
( V = create_slb
| ! [W] : findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [U,V,W] :
( V = create_slb
| findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [U,V] :
( ( V != create_slb
& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U))
& contains_slb(V,findmin_pqp_res(U)) )
| ! [W] : ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(canonicalize,[],[l9_l10]) ).
fof(normalize_0_10,plain,
! [U,V] :
( ( V != create_slb
& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U))
& contains_slb(V,findmin_pqp_res(U)) )
| ! [W] : ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [U,V,W] :
( ( V != create_slb
| ~ ok(findmin_cpq_eff(triple(U,V,W))) )
& ( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) )
& ( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| contains_slb(V,findmin_pqp_res(U)) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [U,V,W] :
( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| contains_slb(V,findmin_pqp_res(U)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [U,V,W,X] :
( ~ contains_cpq(triple(U,V,W),X)
<=> ~ contains_slb(V,X) ),
inference(canonicalize,[],[ax39]) ).
fof(normalize_0_14,plain,
! [U,V,W,X] :
( ~ contains_cpq(triple(U,V,W),X)
<=> ~ contains_slb(V,X) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [U,V,W,X] :
( ( ~ contains_cpq(triple(U,V,W),X)
| contains_slb(V,X) )
& ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [U,V,W,X] :
( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(canonicalize,[],[ax40]) ).
fof(normalize_0_18,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(specialize,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) = triple(skolemFOFtoCNF_U,create_slb,bad),
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_3,plain,
~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( V = create_slb
| findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = findmin_pqp_res(skolemFOFtoCNF_U)
| skolemFOFtoCNF_V = create_slb ),
inference(subst,[],[refute_0_4:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_6,plain,
( findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) != findmin_pqp_res(skolemFOFtoCNF_U)
| ~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_pqp_res(skolemFOFtoCNF_U))
| contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),
introduced(tautology,[equality,[$cnf( ~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),[1],$fot(findmin_pqp_res(skolemFOFtoCNF_U))]]) ).
cnf(refute_0_7,plain,
( ~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_pqp_res(skolemFOFtoCNF_U))
| skolemFOFtoCNF_V = create_slb
| contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),
inference(resolve,[$cnf( $equal(findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),findmin_pqp_res(skolemFOFtoCNF_U)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_pqp_res(skolemFOFtoCNF_U))
| skolemFOFtoCNF_V = create_slb ),
inference(resolve,[$cnf( contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_cpq_res(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
( ~ ok(findmin_cpq_eff(triple(U,V,W)))
| contains_slb(V,findmin_pqp_res(U)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))
| contains_slb(skolemFOFtoCNF_V,findmin_pqp_res(skolemFOFtoCNF_U)) ),
inference(subst,[],[refute_0_9:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_11,plain,
contains_slb(skolemFOFtoCNF_V,findmin_pqp_res(skolemFOFtoCNF_U)),
inference(resolve,[$cnf( ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ contains_slb(skolemFOFtoCNF_V,findmin_pqp_res(skolemFOFtoCNF_U))
| contains_cpq(triple(X_8875,skolemFOFtoCNF_V,X_8877),findmin_pqp_res(skolemFOFtoCNF_U)) ),
inference(subst,[],[refute_0_12:[bind(U,$fot(X_8875)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(X_8877)),bind(X,$fot(findmin_pqp_res(skolemFOFtoCNF_U)))]]) ).
cnf(refute_0_14,plain,
contains_cpq(triple(X_8875,skolemFOFtoCNF_V,X_8877),findmin_pqp_res(skolemFOFtoCNF_U)),
inference(resolve,[$cnf( contains_slb(skolemFOFtoCNF_V,findmin_pqp_res(skolemFOFtoCNF_U)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_pqp_res(skolemFOFtoCNF_U)),
inference(subst,[],[refute_0_14:[bind(X_8875,$fot(skolemFOFtoCNF_U)),bind(X_8877,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_16,plain,
skolemFOFtoCNF_V = create_slb,
inference(resolve,[$cnf( contains_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),findmin_pqp_res(skolemFOFtoCNF_U)) )],[refute_0_15,refute_0_8]) ).
cnf(refute_0_17,plain,
triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) = triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
introduced(tautology,[refl,[$fot(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))]]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_V != create_slb
| triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) != triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)
| triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) = triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W) ),
introduced(tautology,[equality,[$cnf( $equal(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) ),[1,1],$fot(create_slb)]]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_V != create_slb
| triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) = triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W) ),
inference(resolve,[$cnf( $equal(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) = triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_V,create_slb) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),
introduced(tautology,[refl,[$fot(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))]]) ).
cnf(refute_0_22,plain,
( findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) != findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))
| triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) != triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)
| findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) ),
introduced(tautology,[equality,[$cnf( $equal(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),[1,0],$fot(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W))]]) ).
cnf(refute_0_23,plain,
( triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) != triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)
| findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) ),
inference(resolve,[$cnf( $equal(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)),
inference(resolve,[$cnf( $equal(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_26,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_27,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( Y != X0
| Y != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_29,plain,
( X0 != Y
| Y != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) != triple(skolemFOFtoCNF_U,create_slb,bad)
| findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) != findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W))
| findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = triple(skolemFOFtoCNF_U,create_slb,bad) ),
inference(subst,[],[refute_0_29:[bind(X0,$fot(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))),bind(Y,$fot(findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)))),bind(Z,$fot(triple(skolemFOFtoCNF_U,create_slb,bad)))]]) ).
cnf(refute_0_31,plain,
( findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)) != triple(skolemFOFtoCNF_U,create_slb,bad)
| findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = triple(skolemFOFtoCNF_U,create_slb,bad) ),
inference(resolve,[$cnf( $equal(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W))) )],[refute_0_24,refute_0_30]) ).
cnf(refute_0_32,plain,
findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) = triple(skolemFOFtoCNF_U,create_slb,bad),
inference(resolve,[$cnf( $equal(findmin_cpq_eff(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_W)),triple(skolemFOFtoCNF_U,create_slb,bad)) )],[refute_0_2,refute_0_31]) ).
cnf(refute_0_33,plain,
( findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) != triple(skolemFOFtoCNF_U,create_slb,bad)
| ~ ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))
| ok(triple(skolemFOFtoCNF_U,create_slb,bad)) ),
introduced(tautology,[equality,[$cnf( ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) ),[0],$fot(triple(skolemFOFtoCNF_U,create_slb,bad))]]) ).
cnf(refute_0_34,plain,
( ~ ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)))
| ok(triple(skolemFOFtoCNF_U,create_slb,bad)) ),
inference(resolve,[$cnf( $equal(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),triple(skolemFOFtoCNF_U,create_slb,bad)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
ok(triple(skolemFOFtoCNF_U,create_slb,bad)),
inference(resolve,[$cnf( ok(findmin_cpq_eff(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))) )],[refute_0_0,refute_0_34]) ).
cnf(refute_0_36,plain,
~ ok(triple(U,V,bad)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_37,plain,
~ ok(triple(skolemFOFtoCNF_U,create_slb,bad)),
inference(subst,[],[refute_0_36:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(create_slb))]]) ).
cnf(refute_0_38,plain,
$false,
inference(resolve,[$cnf( ok(triple(skolemFOFtoCNF_U,create_slb,bad)) )],[refute_0_35,refute_0_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 10:08:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.96/5.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.96/5.15
% 4.96/5.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.96/5.16
%------------------------------------------------------------------------------