TSTP Solution File: MSC017+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 22:54:39 EDT 2022
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 157 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 189 ( 89 ~; 67 |; 16 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(depth_and_time_and_nitrogen,axiom,
! [D] :
( dive(D)
=> ( ( greater(depth(D),depth_limit)
| greater(time(D),time_limit) )
<=> greater(nitrogen(D),nitrogen_limit) ) ) ).
fof(too_much_nitrogen,axiom,
! [D] :
( dive(D)
=> ( greater(nitrogen(D),nitrogen_limit)
<=> outcome(D,dci) ) ) ).
fof(dci_is_the_only_bad_outcome,axiom,
! [D] :
( dive(D)
=> ! [O] :
( ( outcome(D,O)
& bad(O) )
=> O = dci ) ) ).
fof(no_deep_long,axiom,
! [D] :
( dive(D)
=> ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ) ).
fof(no_bad,conjecture,
! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ) ).
fof(subgoal_0,plain,
! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
inference(strip,[],[no_bad]) ).
fof(negate_0_0,plain,
~ ! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ),
inference(canonicalize,[],[no_deep_long]) ).
fof(normalize_0_1,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [D] :
( ( ~ dive(D)
| ~ greater(depth(D),depth_limit) )
& ( ~ dive(D)
| ~ greater(time(D),time_limit) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [D] :
( ~ dive(D)
| ~ greater(depth(D),depth_limit) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [D] :
( ~ dive(D)
| ~ greater(time(D),time_limit) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(nitrogen(D),nitrogen_limit)
<=> ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ) ),
inference(canonicalize,[],[depth_and_time_and_nitrogen]) ).
fof(normalize_0_6,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(nitrogen(D),nitrogen_limit)
<=> ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [D] :
( ( ~ dive(D)
| ~ greater(depth(D),depth_limit)
| greater(nitrogen(D),nitrogen_limit) )
& ( ~ dive(D)
| ~ greater(time(D),time_limit)
| greater(nitrogen(D),nitrogen_limit) )
& ( ~ dive(D)
| ~ greater(nitrogen(D),nitrogen_limit)
| greater(depth(D),depth_limit)
| greater(time(D),time_limit) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [D] :
( ~ dive(D)
| ~ greater(nitrogen(D),nitrogen_limit)
| greater(depth(D),depth_limit)
| greater(time(D),time_limit) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(nitrogen(D),nitrogen_limit)
<=> ~ outcome(D,dci) ) ),
inference(canonicalize,[],[too_much_nitrogen]) ).
fof(normalize_0_10,plain,
! [D] :
( ~ dive(D)
| ( ~ greater(nitrogen(D),nitrogen_limit)
<=> ~ outcome(D,dci) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [D] :
( ( ~ dive(D)
| ~ greater(nitrogen(D),nitrogen_limit)
| outcome(D,dci) )
& ( ~ dive(D)
| ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [D] :
( ~ dive(D)
| ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [D] :
( dive(D)
& ? [O] :
( bad(O)
& outcome(D,O) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
( dive(skolemFOFtoCNF_D)
& ? [O] :
( bad(O)
& outcome(skolemFOFtoCNF_D,O) ) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
? [O] :
( bad(O)
& outcome(skolemFOFtoCNF_D,O) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
( bad(skolemFOFtoCNF_O)
& outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O) ),
inference(skolemize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [D] :
( ~ dive(D)
| ! [O] :
( ~ bad(O)
| ~ outcome(D,O)
| O = dci ) ),
inference(canonicalize,[],[dci_is_the_only_bad_outcome]) ).
fof(normalize_0_19,plain,
! [D] :
( ~ dive(D)
| ! [O] :
( ~ bad(O)
| ~ outcome(D,O)
| O = dci ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [D,O] :
( ~ bad(O)
| ~ dive(D)
| ~ outcome(D,O)
| O = dci ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
bad(skolemFOFtoCNF_O),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_22,plain,
dive(skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
( ~ dive(D)
| ~ greater(depth(D),depth_limit) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ dive(skolemFOFtoCNF_D)
| ~ greater(depth(skolemFOFtoCNF_D),depth_limit) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_2,plain,
( ~ dive(D)
| ~ greater(time(D),time_limit) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ dive(skolemFOFtoCNF_D)
| ~ greater(time(skolemFOFtoCNF_D),time_limit) ),
inference(subst,[],[refute_0_2:[bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_4,plain,
( ~ dive(D)
| ~ greater(nitrogen(D),nitrogen_limit)
| greater(depth(D),depth_limit)
| greater(time(D),time_limit) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ dive(skolemFOFtoCNF_D)
| ~ greater(nitrogen(skolemFOFtoCNF_D),nitrogen_limit)
| greater(depth(skolemFOFtoCNF_D),depth_limit)
| greater(time(skolemFOFtoCNF_D),time_limit) ),
inference(subst,[],[refute_0_4:[bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_6,plain,
( ~ dive(D)
| ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ dive(skolemFOFtoCNF_D)
| ~ outcome(skolemFOFtoCNF_D,dci)
| greater(nitrogen(skolemFOFtoCNF_D),nitrogen_limit) ),
inference(subst,[],[refute_0_6:[bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_8,plain,
outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_9,plain,
( ~ bad(O)
| ~ dive(D)
| ~ outcome(D,O)
| O = dci ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_10,plain,
( ~ bad(skolemFOFtoCNF_O)
| ~ dive(skolemFOFtoCNF_D)
| ~ outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O)
| skolemFOFtoCNF_O = dci ),
inference(subst,[],[refute_0_9:[bind(D,$fot(skolemFOFtoCNF_D)),bind(O,$fot(skolemFOFtoCNF_O))]]) ).
cnf(refute_0_11,plain,
( ~ bad(skolemFOFtoCNF_O)
| ~ dive(skolemFOFtoCNF_D)
| skolemFOFtoCNF_O = dci ),
inference(resolve,[$cnf( outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
bad(skolemFOFtoCNF_O),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_13,plain,
( ~ dive(skolemFOFtoCNF_D)
| skolemFOFtoCNF_O = dci ),
inference(resolve,[$cnf( bad(skolemFOFtoCNF_O) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
dive(skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_15,plain,
skolemFOFtoCNF_O = dci,
inference(resolve,[$cnf( dive(skolemFOFtoCNF_D) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
( skolemFOFtoCNF_O != dci
| ~ outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O)
| outcome(skolemFOFtoCNF_D,dci) ),
introduced(tautology,[equality,[$cnf( outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O) ),[1],$fot(dci)]]) ).
cnf(refute_0_17,plain,
( ~ outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O)
| outcome(skolemFOFtoCNF_D,dci) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_O,dci) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
outcome(skolemFOFtoCNF_D,dci),
inference(resolve,[$cnf( outcome(skolemFOFtoCNF_D,skolemFOFtoCNF_O) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ dive(skolemFOFtoCNF_D)
| greater(nitrogen(skolemFOFtoCNF_D),nitrogen_limit) ),
inference(resolve,[$cnf( outcome(skolemFOFtoCNF_D,dci) )],[refute_0_18,refute_0_7]) ).
cnf(refute_0_20,plain,
greater(nitrogen(skolemFOFtoCNF_D),nitrogen_limit),
inference(resolve,[$cnf( dive(skolemFOFtoCNF_D) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ dive(skolemFOFtoCNF_D)
| greater(depth(skolemFOFtoCNF_D),depth_limit)
| greater(time(skolemFOFtoCNF_D),time_limit) ),
inference(resolve,[$cnf( greater(nitrogen(skolemFOFtoCNF_D),nitrogen_limit) )],[refute_0_20,refute_0_5]) ).
cnf(refute_0_22,plain,
( greater(depth(skolemFOFtoCNF_D),depth_limit)
| greater(time(skolemFOFtoCNF_D),time_limit) ),
inference(resolve,[$cnf( dive(skolemFOFtoCNF_D) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ dive(skolemFOFtoCNF_D)
| greater(depth(skolemFOFtoCNF_D),depth_limit) ),
inference(resolve,[$cnf( greater(time(skolemFOFtoCNF_D),time_limit) )],[refute_0_22,refute_0_3]) ).
cnf(refute_0_24,plain,
greater(depth(skolemFOFtoCNF_D),depth_limit),
inference(resolve,[$cnf( dive(skolemFOFtoCNF_D) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
~ dive(skolemFOFtoCNF_D),
inference(resolve,[$cnf( greater(depth(skolemFOFtoCNF_D),depth_limit) )],[refute_0_24,refute_0_1]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( dive(skolemFOFtoCNF_D) )],[refute_0_14,refute_0_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.07 % Command : metis --show proof --show saturation %s
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Fri Jul 1 16:04:47 EDT 2022
% 0.07/0.25 % CPUTime :
% 0.07/0.26 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.07/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26
% 0.07/0.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.07/0.26
%------------------------------------------------------------------------------