TSTP Solution File: CSR031+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR031+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 21:56:43 EDT 2022
% Result : Theorem 11.04s 11.29s
% Output : CNFRefutation 11.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 20 ~; 9 |; 2 &)
% ( 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 : 15 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_781,axiom,
individual(c_tptptptpcol_16_8398) ).
fof(ax2_2816,axiom,
individual(c_tptptptpcol_16_8398) ).
fof(ax2_3089,axiom,
! [OBJ] :
~ ( collection(OBJ)
& individual(OBJ) ) ).
fof(ax2_3226,axiom,
! [OBJ] :
~ ( collection(OBJ)
& individual(OBJ) ) ).
fof(ax2_7583,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ) ).
fof(query131,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) ).
fof(subgoal_0,plain,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(strip,[],[query131]) ).
fof(negate_0_0,plain,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [INS] :
( collection(INS)
| ! [ARG2] : ~ disjointwith(INS,ARG2) ),
inference(canonicalize,[],[ax2_7583]) ).
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_tptptptpcol_16_8398),
inference(canonicalize,[],[ax2_2816]) ).
fof(normalize_0_5,plain,
! [OBJ] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(canonicalize,[],[ax2_3226]) ).
fof(normalize_0_6,plain,
! [OBJ] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
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_tptptptpcol_16_8398,c_tptpcol_16_18488)
| collection(c_tptptptpcol_16_8398) ),
inference(subst,[],[refute_0_1:[bind(ARG2,$fot(c_tptpcol_16_18488)),bind(INS,$fot(c_tptptptpcol_16_8398))]]) ).
cnf(refute_0_3,plain,
collection(c_tptptptpcol_16_8398),
inference(resolve,[$cnf( disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
individual(c_tptptptpcol_16_8398),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ collection(c_tptptptpcol_16_8398)
| ~ individual(c_tptptptpcol_16_8398) ),
inference(subst,[],[refute_0_5:[bind(OBJ,$fot(c_tptptptpcol_16_8398))]]) ).
cnf(refute_0_7,plain,
~ collection(c_tptptptpcol_16_8398),
inference(resolve,[$cnf( individual(c_tptptptpcol_16_8398) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( collection(c_tptptptpcol_16_8398) )],[refute_0_3,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR031+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Fri Jun 10 03:38:52 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.04/11.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.04/11.29
% 11.04/11.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.14/11.30
%------------------------------------------------------------------------------