TSTP Solution File: SEU187+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU187+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 : Tue Jul 19 12:39:08 EDT 2022
% Result : Theorem 2.13s 2.34s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 98 ( 34 unt; 0 def)
% Number of atoms : 231 ( 47 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 237 ( 104 ~; 103 |; 12 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 115 ( 2 sgn 60 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_relat_1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
fof(d5_relat_1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : element(B,A) ).
fof(fc1_xboole_0,axiom,
empty(empty_set) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ) ).
fof(t60_relat_1,conjecture,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ) ).
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ) ).
fof(subgoal_0,plain,
relation_dom(empty_set) = empty_set,
inference(strip,[],[t60_relat_1]) ).
fof(subgoal_1,plain,
( relation_dom(empty_set) = empty_set
=> relation_rng(empty_set) = empty_set ),
inference(strip,[],[t60_relat_1]) ).
fof(negate_0_0,plain,
relation_dom(empty_set) != empty_set,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(canonicalize,[],[t6_boole]) ).
fof(normalize_0_1,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(canonicalize,[],[t7_boole]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( empty(empty_set)
& relation(empty_set) ),
inference(canonicalize,[],[fc4_relat_1]) ).
fof(normalize_0_5,plain,
empty(empty_set),
inference(canonicalize,[],[fc1_xboole_0]) ).
fof(normalize_0_6,plain,
relation(empty_set),
inference(simplify,[],[normalize_0_4,normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] :
? [B] : element(B,A),
inference(canonicalize,[],[existence_m1_subset_1]) ).
fof(normalize_0_8,plain,
! [A] :
? [B] : element(B,A),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] : element(skolemFOFtoCNF_B(A),A),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[t2_subset]) ).
fof(normalize_0_11,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B != relation_dom(A)
<=> ? [C] :
( ~ in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
inference(canonicalize,[],[d4_relat_1]) ).
fof(normalize_0_13,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B != relation_dom(A)
<=> ? [C] :
( ~ in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ( B != relation_dom(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(C,skolemFOFtoCNF_D_1(A,C)),A) )
& ( B != relation_dom(A)
| ~ in(ordered_pair(C,D),A)
| ~ relation(A)
| in(C,B) )
& ( ~ in(ordered_pair(skolemFOFtoCNF_C(A,B),D),A)
| ~ in(skolemFOFtoCNF_C(A,B),B)
| ~ relation(A)
| B = relation_dom(A) )
& ( ~ relation(A)
| B = relation_dom(A)
| in(ordered_pair(skolemFOFtoCNF_C(A,B),skolemFOFtoCNF_D(A,B)),A)
| in(skolemFOFtoCNF_C(A,B),B) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C] :
( B != relation_dom(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(C,skolemFOFtoCNF_D_1(A,C)),A) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
relation_dom(empty_set) != empty_set,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( ~ empty(A)
| A = empty_set ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ empty(relation_dom(empty_set))
| relation_dom(empty_set) = empty_set ),
inference(subst,[],[refute_0_0:[bind(A,$fot(relation_dom(empty_set)))]]) ).
cnf(refute_0_2,plain,
( ~ empty(B)
| ~ in(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ empty(empty_set)
| ~ in(ordered_pair(skolemFOFtoCNF_B(relation_dom(empty_set)),skolemFOFtoCNF_D_1(empty_set,skolemFOFtoCNF_B(relation_dom(empty_set)))),empty_set) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(ordered_pair(skolemFOFtoCNF_B(relation_dom(empty_set)),skolemFOFtoCNF_D_1(empty_set,skolemFOFtoCNF_B(relation_dom(empty_set)))))),bind(B,$fot(empty_set))]]) ).
cnf(refute_0_4,plain,
relation(empty_set),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
element(skolemFOFtoCNF_B(A),A),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
element(skolemFOFtoCNF_B(X_40),X_40),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_7,plain,
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
( ~ element(skolemFOFtoCNF_B(X_40),X_40)
| empty(X_40)
| in(skolemFOFtoCNF_B(X_40),X_40) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B(X_40))),bind(B,$fot(X_40))]]) ).
cnf(refute_0_9,plain,
( empty(X_40)
| in(skolemFOFtoCNF_B(X_40),X_40) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B(X_40),X_40) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( empty(relation_dom(X_73))
| in(skolemFOFtoCNF_B(relation_dom(X_73)),relation_dom(X_73)) ),
inference(subst,[],[refute_0_9:[bind(X_40,$fot(relation_dom(X_73)))]]) ).
cnf(refute_0_11,plain,
( B != relation_dom(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(C,skolemFOFtoCNF_D_1(A,C)),A) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_12,plain,
( relation_dom(A) != relation_dom(A)
| ~ in(C,relation_dom(A))
| ~ relation(A)
| in(ordered_pair(C,skolemFOFtoCNF_D_1(A,C)),A) ),
inference(subst,[],[refute_0_11:[bind(B,$fot(relation_dom(A)))]]) ).
cnf(refute_0_13,plain,
relation_dom(A) = relation_dom(A),
introduced(tautology,[refl,[$fot(relation_dom(A))]]) ).
cnf(refute_0_14,plain,
( ~ in(C,relation_dom(A))
| ~ relation(A)
| in(ordered_pair(C,skolemFOFtoCNF_D_1(A,C)),A) ),
inference(resolve,[$cnf( $equal(relation_dom(A),relation_dom(A)) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
( ~ in(skolemFOFtoCNF_B(relation_dom(X_73)),relation_dom(X_73))
| ~ relation(X_73)
| in(ordered_pair(skolemFOFtoCNF_B(relation_dom(X_73)),skolemFOFtoCNF_D_1(X_73,skolemFOFtoCNF_B(relation_dom(X_73)))),X_73) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_73)),bind(C,$fot(skolemFOFtoCNF_B(relation_dom(X_73))))]]) ).
cnf(refute_0_16,plain,
( ~ relation(X_73)
| empty(relation_dom(X_73))
| in(ordered_pair(skolemFOFtoCNF_B(relation_dom(X_73)),skolemFOFtoCNF_D_1(X_73,skolemFOFtoCNF_B(relation_dom(X_73)))),X_73) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B(relation_dom(X_73)),relation_dom(X_73)) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ relation(empty_set)
| empty(relation_dom(empty_set))
| in(ordered_pair(skolemFOFtoCNF_B(relation_dom(empty_set)),skolemFOFtoCNF_D_1(empty_set,skolemFOFtoCNF_B(relation_dom(empty_set)))),empty_set) ),
inference(subst,[],[refute_0_16:[bind(X_73,$fot(empty_set))]]) ).
cnf(refute_0_18,plain,
( empty(relation_dom(empty_set))
| in(ordered_pair(skolemFOFtoCNF_B(relation_dom(empty_set)),skolemFOFtoCNF_D_1(empty_set,skolemFOFtoCNF_B(relation_dom(empty_set)))),empty_set) ),
inference(resolve,[$cnf( relation(empty_set) )],[refute_0_4,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ empty(empty_set)
| empty(relation_dom(empty_set)) ),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_B(relation_dom(empty_set)),skolemFOFtoCNF_D_1(empty_set,skolemFOFtoCNF_B(relation_dom(empty_set)))),empty_set) )],[refute_0_18,refute_0_3]) ).
cnf(refute_0_20,plain,
empty(empty_set),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_21,plain,
empty(relation_dom(empty_set)),
inference(resolve,[$cnf( empty(empty_set) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
relation_dom(empty_set) = empty_set,
inference(resolve,[$cnf( empty(relation_dom(empty_set)) )],[refute_0_21,refute_0_1]) ).
cnf(refute_0_23,plain,
relation_dom(empty_set) != empty_set,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( $equal(relation_dom(empty_set),empty_set) )],[refute_0_22,refute_0_23]) ).
fof(negate_1_0,plain,
~ ( relation_dom(empty_set) = empty_set
=> relation_rng(empty_set) = empty_set ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(canonicalize,[],[t6_boole]) ).
fof(normalize_1_1,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(canonicalize,[],[t7_boole]) ).
fof(normalize_1_3,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
( empty(empty_set)
& relation(empty_set) ),
inference(canonicalize,[],[fc4_relat_1]) ).
fof(normalize_1_5,plain,
empty(empty_set),
inference(canonicalize,[],[fc1_xboole_0]) ).
fof(normalize_1_6,plain,
relation(empty_set),
inference(simplify,[],[normalize_1_4,normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A] :
? [B] : element(B,A),
inference(canonicalize,[],[existence_m1_subset_1]) ).
fof(normalize_1_8,plain,
! [A] :
? [B] : element(B,A),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A] : element(skolemFOFtoCNF_B(A),A),
inference(skolemize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[t2_subset]) ).
fof(normalize_1_11,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B != relation_rng(A)
<=> ? [C] :
( ~ in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
inference(canonicalize,[],[d5_relat_1]) ).
fof(normalize_1_13,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B != relation_rng(A)
<=> ? [C] :
( ~ in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [A,B,C,D] :
( ( B != relation_rng(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(skolemFOFtoCNF_D_3(A,C),C),A) )
& ( B != relation_rng(A)
| ~ in(ordered_pair(D,C),A)
| ~ relation(A)
| in(C,B) )
& ( ~ in(ordered_pair(D,skolemFOFtoCNF_C_1(A,B)),A)
| ~ in(skolemFOFtoCNF_C_1(A,B),B)
| ~ relation(A)
| B = relation_rng(A) )
& ( ~ relation(A)
| B = relation_rng(A)
| in(ordered_pair(skolemFOFtoCNF_D_2(A,B),skolemFOFtoCNF_C_1(A,B)),A)
| in(skolemFOFtoCNF_C_1(A,B),B) ) ),
inference(clausify,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [A,B,C] :
( B != relation_rng(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(skolemFOFtoCNF_D_3(A,C),C),A) ),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
( relation_rng(empty_set) != empty_set
& relation_dom(empty_set) = empty_set ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_17,plain,
relation_rng(empty_set) != empty_set,
inference(conjunct,[],[normalize_1_16]) ).
cnf(refute_1_0,plain,
( ~ empty(A)
| A = empty_set ),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
( ~ empty(relation_rng(empty_set))
| relation_rng(empty_set) = empty_set ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_rng(empty_set)))]]) ).
cnf(refute_1_2,plain,
( ~ empty(B)
| ~ in(A,B) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_3,plain,
( ~ empty(empty_set)
| ~ in(ordered_pair(skolemFOFtoCNF_D_3(empty_set,skolemFOFtoCNF_B(relation_rng(empty_set))),skolemFOFtoCNF_B(relation_rng(empty_set))),empty_set) ),
inference(subst,[],[refute_1_2:[bind(A,$fot(ordered_pair(skolemFOFtoCNF_D_3(empty_set,skolemFOFtoCNF_B(relation_rng(empty_set))),skolemFOFtoCNF_B(relation_rng(empty_set))))),bind(B,$fot(empty_set))]]) ).
cnf(refute_1_4,plain,
relation(empty_set),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_5,plain,
element(skolemFOFtoCNF_B(A),A),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_6,plain,
element(skolemFOFtoCNF_B(X_118),X_118),
inference(subst,[],[refute_1_5:[bind(A,$fot(X_118))]]) ).
cnf(refute_1_7,plain,
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_8,plain,
( ~ element(skolemFOFtoCNF_B(X_118),X_118)
| empty(X_118)
| in(skolemFOFtoCNF_B(X_118),X_118) ),
inference(subst,[],[refute_1_7:[bind(A,$fot(skolemFOFtoCNF_B(X_118))),bind(B,$fot(X_118))]]) ).
cnf(refute_1_9,plain,
( empty(X_118)
| in(skolemFOFtoCNF_B(X_118),X_118) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B(X_118),X_118) )],[refute_1_6,refute_1_8]) ).
cnf(refute_1_10,plain,
( empty(relation_rng(X_151))
| in(skolemFOFtoCNF_B(relation_rng(X_151)),relation_rng(X_151)) ),
inference(subst,[],[refute_1_9:[bind(X_118,$fot(relation_rng(X_151)))]]) ).
cnf(refute_1_11,plain,
( B != relation_rng(A)
| ~ in(C,B)
| ~ relation(A)
| in(ordered_pair(skolemFOFtoCNF_D_3(A,C),C),A) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_12,plain,
( relation_rng(A) != relation_rng(A)
| ~ in(C,relation_rng(A))
| ~ relation(A)
| in(ordered_pair(skolemFOFtoCNF_D_3(A,C),C),A) ),
inference(subst,[],[refute_1_11:[bind(B,$fot(relation_rng(A)))]]) ).
cnf(refute_1_13,plain,
relation_rng(A) = relation_rng(A),
introduced(tautology,[refl,[$fot(relation_rng(A))]]) ).
cnf(refute_1_14,plain,
( ~ in(C,relation_rng(A))
| ~ relation(A)
| in(ordered_pair(skolemFOFtoCNF_D_3(A,C),C),A) ),
inference(resolve,[$cnf( $equal(relation_rng(A),relation_rng(A)) )],[refute_1_13,refute_1_12]) ).
cnf(refute_1_15,plain,
( ~ in(skolemFOFtoCNF_B(relation_rng(X_151)),relation_rng(X_151))
| ~ relation(X_151)
| in(ordered_pair(skolemFOFtoCNF_D_3(X_151,skolemFOFtoCNF_B(relation_rng(X_151))),skolemFOFtoCNF_B(relation_rng(X_151))),X_151) ),
inference(subst,[],[refute_1_14:[bind(A,$fot(X_151)),bind(C,$fot(skolemFOFtoCNF_B(relation_rng(X_151))))]]) ).
cnf(refute_1_16,plain,
( ~ relation(X_151)
| empty(relation_rng(X_151))
| in(ordered_pair(skolemFOFtoCNF_D_3(X_151,skolemFOFtoCNF_B(relation_rng(X_151))),skolemFOFtoCNF_B(relation_rng(X_151))),X_151) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B(relation_rng(X_151)),relation_rng(X_151)) )],[refute_1_10,refute_1_15]) ).
cnf(refute_1_17,plain,
( ~ relation(empty_set)
| empty(relation_rng(empty_set))
| in(ordered_pair(skolemFOFtoCNF_D_3(empty_set,skolemFOFtoCNF_B(relation_rng(empty_set))),skolemFOFtoCNF_B(relation_rng(empty_set))),empty_set) ),
inference(subst,[],[refute_1_16:[bind(X_151,$fot(empty_set))]]) ).
cnf(refute_1_18,plain,
( empty(relation_rng(empty_set))
| in(ordered_pair(skolemFOFtoCNF_D_3(empty_set,skolemFOFtoCNF_B(relation_rng(empty_set))),skolemFOFtoCNF_B(relation_rng(empty_set))),empty_set) ),
inference(resolve,[$cnf( relation(empty_set) )],[refute_1_4,refute_1_17]) ).
cnf(refute_1_19,plain,
( ~ empty(empty_set)
| empty(relation_rng(empty_set)) ),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_D_3(empty_set,skolemFOFtoCNF_B(relation_rng(empty_set))),skolemFOFtoCNF_B(relation_rng(empty_set))),empty_set) )],[refute_1_18,refute_1_3]) ).
cnf(refute_1_20,plain,
empty(empty_set),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_21,plain,
empty(relation_rng(empty_set)),
inference(resolve,[$cnf( empty(empty_set) )],[refute_1_20,refute_1_19]) ).
cnf(refute_1_22,plain,
relation_rng(empty_set) = empty_set,
inference(resolve,[$cnf( empty(relation_rng(empty_set)) )],[refute_1_21,refute_1_1]) ).
cnf(refute_1_23,plain,
relation_rng(empty_set) != empty_set,
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_24,plain,
$false,
inference(resolve,[$cnf( $equal(relation_rng(empty_set),empty_set) )],[refute_1_22,refute_1_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.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 : Sun Jun 19 21:11:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.13/2.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.34
% 2.13/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.13/2.34
%------------------------------------------------------------------------------