TSTP Solution File: NUM837+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 12:30:49 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 39 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 9 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(171)',conjecture,
? [Vd273] : vd269 = vplus(vd268,Vd273) ).
fof('holds(conjunct1(170), 270, 0)',axiom,
less(vd268,vd269) ).
fof('ass(cond(147, 0), 0)',axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ) ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
fof(subgoal_0,plain,
? [Vd273] : vd269 = vplus(vd268,Vd273),
inference(strip,[],['qe(171)']) ).
fof(negate_0_0,plain,
~ ? [Vd273] : vd269 = vplus(vd268,Vd273),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
less(vd268,vd269),
inference(canonicalize,[],['holds(conjunct1(170), 270, 0)']) ).
fof(normalize_0_1,plain,
! [Vd226,Vd227] :
( ~ less(Vd226,Vd227)
| greater(Vd227,Vd226) ),
inference(canonicalize,[],['ass(cond(147, 0), 0)']) ).
fof(normalize_0_2,plain,
! [Vd226,Vd227] :
( ~ less(Vd226,Vd227)
| greater(Vd227,Vd226) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
<=> ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ),
inference(canonicalize,[],['def(cond(conseq(axiom(3)), 11), 1)']) ).
fof(normalize_0_4,plain,
! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
<=> ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Vd193,Vd194,Vd196] :
( ( Vd194 != vplus(Vd193,Vd196)
| greater(Vd194,Vd193) )
& ( ~ greater(Vd194,Vd193)
| Vd194 = vplus(Vd193,skolemFOFtoCNF_Vd196(Vd193,Vd194)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
| Vd194 = vplus(Vd193,skolemFOFtoCNF_Vd196(Vd193,Vd194)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [Vd273] : vd269 != vplus(vd268,Vd273),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_8,plain,
! [Vd273] : vd269 != vplus(vd268,Vd273),
inference(specialize,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
less(vd268,vd269),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ less(Vd226,Vd227)
| greater(Vd227,Vd226) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ less(vd268,vd269)
| greater(vd269,vd268) ),
inference(subst,[],[refute_0_1:[bind(Vd226,$fot(vd268)),bind(Vd227,$fot(vd269))]]) ).
cnf(refute_0_3,plain,
greater(vd269,vd268),
inference(resolve,[$cnf( less(vd268,vd269) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ greater(Vd194,Vd193)
| Vd194 = vplus(Vd193,skolemFOFtoCNF_Vd196(Vd193,Vd194)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ greater(vd269,vd268)
| vd269 = vplus(vd268,skolemFOFtoCNF_Vd196(vd268,vd269)) ),
inference(subst,[],[refute_0_4:[bind(Vd193,$fot(vd268)),bind(Vd194,$fot(vd269))]]) ).
cnf(refute_0_6,plain,
vd269 = vplus(vd268,skolemFOFtoCNF_Vd196(vd268,vd269)),
inference(resolve,[$cnf( greater(vd269,vd268) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
vd269 != vplus(vd268,Vd273),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
vd269 != vplus(vd268,skolemFOFtoCNF_Vd196(vd268,vd269)),
inference(subst,[],[refute_0_7:[bind(Vd273,$fot(skolemFOFtoCNF_Vd196(vd268,vd269)))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( $equal(vd269,vplus(vd268,skolemFOFtoCNF_Vd196(vd268,vd269))) )],[refute_0_6,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % 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 : Wed Jul 6 12:41:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.40
%------------------------------------------------------------------------------