TSTP Solution File: CSR055+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR055+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Fri Jul 15 21:57:11 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 19 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just1,axiom,
individual(c_xskijump_thegame) ).
fof(just5,axiom,
! [OBJ] :
~ ( collection(OBJ)
& individual(OBJ) ) ).
fof(just32,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ) ).
fof(query55,conjecture,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) ).
fof(subgoal_0,plain,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(strip,[],[query55]) ).
fof(negate_0_0,plain,
~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [INS] :
( collection(INS)
| ! [ARG2] : ~ disjointwith(INS,ARG2) ),
inference(canonicalize,[],[just32]) ).
fof(normalize_0_2,plain,
! [INS] :
( collection(INS)
| ! [ARG2] : ~ disjointwith(INS,ARG2) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [ARG2,INS] :
( ~ disjointwith(INS,ARG2)
| collection(INS) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
individual(c_xskijump_thegame),
inference(canonicalize,[],[just1]) ).
fof(normalize_0_5,plain,
! [OBJ] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(canonicalize,[],[just5]) ).
fof(normalize_0_6,plain,
! [OBJ] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ disjointwith(INS,ARG2)
| collection(INS) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301)
| collection(c_xskijump_thegame) ),
inference(subst,[],[refute_0_1:[bind(ARG2,$fot(c_tptpcol_16_35301)),bind(INS,$fot(c_xskijump_thegame))]]) ).
cnf(refute_0_3,plain,
collection(c_xskijump_thegame),
inference(resolve,[$cnf( disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
individual(c_xskijump_thegame),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ collection(c_xskijump_thegame)
| ~ individual(c_xskijump_thegame) ),
inference(subst,[],[refute_0_5:[bind(OBJ,$fot(c_xskijump_thegame))]]) ).
cnf(refute_0_7,plain,
~ collection(c_xskijump_thegame),
inference(resolve,[$cnf( individual(c_xskijump_thegame) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( collection(c_xskijump_thegame) )],[refute_0_3,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR055+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 21:14:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------