TSTP Solution File: SEU264+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 12:39:48 EDT 2022
% Result : Theorem 14.91s 15.07s
% Output : CNFRefutation 14.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 32 ~; 27 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 66 ( 2 sgn 48 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ) ).
fof(t14_relset_1,axiom,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ) ).
fof(t16_relset_1,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ) ).
fof(t1_xboole_1,axiom,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ) ).
fof(subgoal_0,plain,
! [A,B,C,D] :
( ( relation_of2_as_subset(D,C,A)
& subset(A,B) )
=> relation_of2_as_subset(D,C,B) ),
inference(strip,[],[t16_relset_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D] :
( ( relation_of2_as_subset(D,C,A)
& subset(A,B) )
=> relation_of2_as_subset(D,C,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,B)
& relation_of2_as_subset(D,C,A)
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1)
& relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A)
& subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
inference(canonicalize,[],[t12_relset_1]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ( ~ relation_of2_as_subset(C,A,B)
| subset(relation_dom(C),A) )
& ( ~ relation_of2_as_subset(C,A,B)
| subset(relation_rng(C),B) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| subset(relation_rng(C),B) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(canonicalize,[],[t1_xboole_1]) ).
fof(normalize_0_9,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(canonicalize,[],[t14_relset_1]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ relation_of2_as_subset(C,A,B)
| subset(relation_rng(C),B) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A)
| subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_4,plain,
subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
( ~ subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| ~ subset(skolemFOFtoCNF_A,X_80)
| subset(relation_rng(skolemFOFtoCNF_D),X_80) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(relation_rng(skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_80))]]) ).
cnf(refute_0_7,plain,
( ~ subset(skolemFOFtoCNF_A,X_80)
| subset(relation_rng(skolemFOFtoCNF_D),X_80) ),
inference(resolve,[$cnf( subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(X_80,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_9,plain,
subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( ~ relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A)
| ~ subset(relation_rng(skolemFOFtoCNF_D),X_21332)
| relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,X_21332) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_21332)),bind(C,$fot(skolemFOFtoCNF_C_2)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_12,plain,
( ~ subset(relation_rng(skolemFOFtoCNF_D),X_21332)
| relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,X_21332) ),
inference(resolve,[$cnf( relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) )],[refute_0_1,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_B_1)
| relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_12:[bind(X_21332,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_14,plain,
relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( subset(relation_rng(skolemFOFtoCNF_D),skolemFOFtoCNF_B_1) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
~ relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( relation_of2_as_subset(skolemFOFtoCNF_D,skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_1) )],[refute_0_14,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 17:03:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.91/15.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.91/15.07
% 14.91/15.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.91/15.07
%------------------------------------------------------------------------------