%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR052+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Fri Jul 15 21:57:08 EDT 2022
% Result : Theorem 7.34s 7.53s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 34 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 38 ~; 34 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_4,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ).
fof(ax1_16,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ).
fof(ax1_54,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388) ).
fof(ax1_76,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196) ).
fof(ax1_186,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421) ).
fof(ax1_424,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324) ).
fof(ax1_438,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939) ).
fof(ax1_470,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940) ).
fof(ax1_1109,axiom,
! [X,Y,Z] :
( ( genls(X,Y)
& genls(Y,Z) )
=> genls(X,Z) ) ).
fof(query102,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ) ).
fof(subgoal_0,plain,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(strip,[],[query102]) ).
fof(negate_0_0,plain,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(canonicalize,[],[ax1_438]) ).
fof(normalize_0_1,plain,
! [X,Y,Z] :
( ~ genls(X,Y)
| ~ genls(Y,Z)
| genls(X,Z) ),
inference(canonicalize,[],[ax1_1109]) ).
fof(normalize_0_2,plain,
! [X,Y,Z] :
( ~ genls(X,Y)
| ~ genls(Y,Z)
| genls(X,Z) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(canonicalize,[],[ax1_76]) ).
fof(normalize_0_4,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(canonicalize,[],[ax1_4]) ).
fof(normalize_0_5,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(canonicalize,[],[ax1_186]) ).
fof(normalize_0_6,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(canonicalize,[],[ax1_16]) ).
fof(normalize_0_7,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(canonicalize,[],[ax1_54]) ).
fof(normalize_0_8,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(canonicalize,[],[ax1_424]) ).
fof(normalize_0_9,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(canonicalize,[],[ax1_470]) ).
fof(normalize_0_10,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ genls(X,Y)
| ~ genls(Y,Z)
| genls(X,Z) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ genls(X_24020,c_tptpcol_8_39940)
| ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
| genls(X_24020,c_tptpcol_7_39939) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_24020)),bind(Y,$fot(c_tptpcol_8_39940)),bind(Z,$fot(c_tptpcol_7_39939))]]) ).
cnf(refute_0_3,plain,
( ~ genls(X_24020,c_tptpcol_8_39940)
| genls(X_24020,c_tptpcol_7_39939) ),
inference(resolve,[$cnf( genls(c_tptpcol_8_39940,c_tptpcol_7_39939) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_8_39940)
| genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(subst,[],[refute_0_3:[bind(X_24020,$fot(c_tptpcol_15_40430))]]) ).
cnf(refute_0_5,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_6,plain,
( ~ genls(X_24020,c_tptpcol_10_40324)
| ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
| genls(X_24020,c_tptpcol_9_40196) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_24020)),bind(Y,$fot(c_tptpcol_10_40324)),bind(Z,$fot(c_tptpcol_9_40196))]]) ).
cnf(refute_0_7,plain,
( ~ genls(X_24020,c_tptpcol_10_40324)
| genls(X_24020,c_tptpcol_9_40196) ),
inference(resolve,[$cnf( genls(c_tptpcol_10_40324,c_tptpcol_9_40196) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_10_40324)
| genls(c_tptpcol_15_40430,c_tptpcol_9_40196) ),
inference(subst,[],[refute_0_7:[bind(X_24020,$fot(c_tptpcol_15_40430))]]) ).
cnf(refute_0_9,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_10,plain,
( ~ genls(X,c_tptpcol_14_40429)
| ~ genls(c_tptpcol_14_40429,c_tptpcol_10_40324)
| genls(X,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(c_tptpcol_14_40429)),bind(Z,$fot(c_tptpcol_10_40324))]]) ).
cnf(refute_0_11,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
( ~ genls(X,c_tptpcol_13_40421)
| ~ genls(c_tptpcol_13_40421,c_tptpcol_10_40324)
| genls(X,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(c_tptpcol_13_40421)),bind(Z,$fot(c_tptpcol_10_40324))]]) ).
cnf(refute_0_13,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_14,plain,
( ~ genls(X,c_tptpcol_12_40420)
| ~ genls(c_tptpcol_12_40420,c_tptpcol_10_40324)
| genls(X,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(c_tptpcol_12_40420)),bind(Z,$fot(c_tptpcol_10_40324))]]) ).
cnf(refute_0_15,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_16,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_17,plain,
( ~ genls(X_24020,c_tptpcol_11_40388)
| ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
| genls(X_24020,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_24020)),bind(Y,$fot(c_tptpcol_11_40388)),bind(Z,$fot(c_tptpcol_10_40324))]]) ).
cnf(refute_0_18,plain,
( ~ genls(X_24020,c_tptpcol_11_40388)
| genls(X_24020,c_tptpcol_10_40324) ),
inference(resolve,[$cnf( genls(c_tptpcol_11_40388,c_tptpcol_10_40324) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
| genls(c_tptpcol_12_40420,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_18:[bind(X_24020,$fot(c_tptpcol_12_40420))]]) ).
cnf(refute_0_20,plain,
genls(c_tptpcol_12_40420,c_tptpcol_10_40324),
inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_11_40388) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ genls(X,c_tptpcol_12_40420)
| genls(X,c_tptpcol_10_40324) ),
inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_10_40324) )],[refute_0_20,refute_0_14]) ).
cnf(refute_0_22,plain,
( ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420)
| genls(c_tptpcol_13_40421,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(c_tptpcol_13_40421))]]) ).
cnf(refute_0_23,plain,
genls(c_tptpcol_13_40421,c_tptpcol_10_40324),
inference(resolve,[$cnf( genls(c_tptpcol_13_40421,c_tptpcol_12_40420) )],[refute_0_13,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ genls(X,c_tptpcol_13_40421)
| genls(X,c_tptpcol_10_40324) ),
inference(resolve,[$cnf( genls(c_tptpcol_13_40421,c_tptpcol_10_40324) )],[refute_0_23,refute_0_12]) ).
cnf(refute_0_25,plain,
( ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
| genls(c_tptpcol_14_40429,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(c_tptpcol_14_40429))]]) ).
cnf(refute_0_26,plain,
genls(c_tptpcol_14_40429,c_tptpcol_10_40324),
inference(resolve,[$cnf( genls(c_tptpcol_14_40429,c_tptpcol_13_40421) )],[refute_0_11,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ genls(X,c_tptpcol_14_40429)
| genls(X,c_tptpcol_10_40324) ),
inference(resolve,[$cnf( genls(c_tptpcol_14_40429,c_tptpcol_10_40324) )],[refute_0_26,refute_0_10]) ).
cnf(refute_0_28,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429)
| genls(c_tptpcol_15_40430,c_tptpcol_10_40324) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(c_tptpcol_15_40430))]]) ).
cnf(refute_0_29,plain,
genls(c_tptpcol_15_40430,c_tptpcol_10_40324),
inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_14_40429) )],[refute_0_9,refute_0_28]) ).
cnf(refute_0_30,plain,
genls(c_tptpcol_15_40430,c_tptpcol_9_40196),
inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_10_40324) )],[refute_0_29,refute_0_8]) ).
cnf(refute_0_31,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_32,plain,
( ~ genls(X_24020,c_tptpcol_9_40196)
| ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
| genls(X_24020,c_tptpcol_8_39940) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_24020)),bind(Y,$fot(c_tptpcol_9_40196)),bind(Z,$fot(c_tptpcol_8_39940))]]) ).
cnf(refute_0_33,plain,
( ~ genls(X_24020,c_tptpcol_9_40196)
| genls(X_24020,c_tptpcol_8_39940) ),
inference(resolve,[$cnf( genls(c_tptpcol_9_40196,c_tptpcol_8_39940) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_9_40196)
| genls(c_tptpcol_15_40430,c_tptpcol_8_39940) ),
inference(subst,[],[refute_0_33:[bind(X_24020,$fot(c_tptpcol_15_40430))]]) ).
cnf(refute_0_35,plain,
genls(c_tptpcol_15_40430,c_tptpcol_8_39940),
inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_9_40196) )],[refute_0_30,refute_0_34]) ).
cnf(refute_0_36,plain,
genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_8_39940) )],[refute_0_35,refute_0_4]) ).
cnf(refute_0_37,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_38,plain,
$false,
inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_7_39939) )],[refute_0_36,refute_0_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR052+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 14:26:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.34/7.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/7.53
% 7.34/7.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.34/7.53
%------------------------------------------------------------------------------